0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -Xss128m -Xmx4g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar %s -t %d -p --atp cvc4=/export/starexec/sandbox/solver/bin/externals/cvc4 --atp e=/export/starexec/sandbox/solver/bin/externals/eprover --atp iprover=/export/starexec/sandbox/solver/bin/externals/iprover 0.03/0.23 % Computer : n061.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:26:09 CDT 2018 0.03/0.23 % CPUTime : 3.14/1.66 % [INFO] Running in sequential loop mode. 3.95/1.89 % [CONFIG] Using configuration: timeout(300) with strategy 4.02/1.97 % [INFO] iprover registered as external prover. 4.02/1.97 % [INFO] e registered as external prover. 4.02/1.97 % [INFO] cvc4 registered as external prover. 4.02/1.98 % [INFO] Parsing finished. Scanning for conjecture ... 4.25/2.04 % [INFO] Found a conjecture and 157 axioms. Running axiom selection ... 4.42/2.13 % [INFO] Axiom selection finished. Selected 157 axioms (removed 0 axioms). 5.16/2.49 % [INFO] Type checking passed. Searching for refutation ... 25.37/8.65 % [INFO] Killing All external provers ... 25.37/8.66 % Time passed: 8328ms 25.37/8.66 % Effective reasoning time: 6986ms 25.37/8.66 % Solved by strategy 25.37/8.67 % Axioms used in derivation (157): holds(292, 1231, 0), qu(cond(axiom(41), 0), imp(cond(axiom(41), 0))), qe(s2(plural(271))), pred(s1(plural(315)), 0), qu(cond(axiom(145), 0), imp(cond(axiom(145), 0))), ass(cond(goal(206), 0), 1), qu(cond(axiom(119), 0), imp(cond(axiom(119), 0))), qu(cond(axiom(3), 0), imp(cond(axiom(3), 0))), pred(294, 0), qu(cond(axiom(164), 0), imp(cond(axiom(164), 0))), qu(cond(axiom(202), 0), imp(cond(axiom(202), 0))), holds(320, 1251, 0), qu(cond(axiom(19), 0), imp(cond(axiom(19), 0))), qu(cond(axiom(95), 0), imp(cond(axiom(95), 0))), qu(cond(axiom(43), 0), imp(cond(axiom(43), 0))), qu(cond(axiom(133), 0), imp(cond(axiom(133), 0))), qu(cond(axiom(21), 0), imp(cond(axiom(21), 0))), pred(s1(plural(293)), 0), pred(s3(plural(274)), 0), qu(cond(axiom(151), 0), imp(cond(axiom(151), 0))), ass(cond(conseq(271), 9), 0), pred(313, 0), pred(axiom(5), 0), qu(cond(axiom(75), 0), imp(cond(axiom(75), 0))), qu(cond(axiom(194), 0), imp(cond(axiom(194), 0))), qe(s1(plural(271))), qu(cond(axiom(190), 0), imp(cond(axiom(190), 0))), qu(cond(axiom(53), 0), imp(cond(axiom(53), 0))), pred(s1(plural(274)), 0), qu(cond(axiom(89), 0), imp(cond(axiom(89), 0))), holds(273, 1215, 0), pred(272, 0), qu(cond(axiom(107), 0), imp(cond(axiom(107), 0))), pred(axiom(137), 2), qu(cond(axiom(31), 0), imp(cond(axiom(31), 0))), ass(cond(goal(206), 0), 0), qu(cond(axiom(103), 0), imp(cond(axiom(103), 0))), holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0), ass(cond(goal(238), 0), 0), qu(cond(axiom(77), 0), imp(cond(axiom(77), 0))), qu(cond(axiom(113), 0), imp(cond(axiom(113), 0))), qu(cond(axiom(45), 0), imp(cond(axiom(45), 0))), qu(cond(axiom(11), 0), imp(cond(axiom(11), 0))), qu(cond(axiom(176), 0), imp(cond(axiom(176), 0))), qu(cond(axiom(33), 0), imp(cond(axiom(33), 0))), qu(cond(axiom(139), 0), imp(cond(axiom(139), 0))), pred(conjunct1(conjunct2(comma_conjunct2(plural(271)))), 0), qu(cond(axiom(59), 0), imp(cond(axiom(59), 0))), pred(s2(plural(269)), 0), holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1210, 0), holds(295, 1236, 0), qu(cond(axiom(35), 0), imp(cond(axiom(35), 0))), qu(cond(axiom(23), 0), imp(cond(axiom(23), 0))), qu(cond(axiom(87), 0), imp(cond(axiom(87), 0))), qu(cond(axiom(1), 0), imp(cond(axiom(1), 0))), qu(cond(axiom(121), 0), imp(cond(axiom(121), 0))), qu(cond(axiom(83), 0), imp(cond(axiom(83), 0))), pred(s2(plural(294)), 0), qu(cond(axiom(109), 0), imp(cond(axiom(109), 0))), pred(293, 0), qu(cond(axiom(79), 0), imp(cond(axiom(79), 0))), qu(cond(axiom(55), 0), imp(cond(axiom(55), 0))), qu(cond(axiom(81), 0), imp(cond(axiom(81), 0))), qu(cond(axiom(13), 0), imp(cond(axiom(13), 0))), qu(cond(axiom(143), 0), imp(cond(axiom(143), 0))), ass(cond(156, 0), 0), qu(cond(axiom(184), 0), imp(cond(axiom(184), 0))), holds(291, 1230, 0), qu(cond(axiom(188), 0), imp(cond(axiom(188), 0))), qu(cond(axiom(99), 0), imp(cond(axiom(99), 0))), qu(cond(axiom(71), 0), imp(cond(axiom(71), 0))), pred(s2(plural(293)), 0), ass(cond(conseq(271), 3), 2), pred(s2(plural(274)), 0), ass(cond(goal(238), 0), 1), qu(cond(axiom(57), 0), imp(cond(axiom(57), 0))), qu(cond(axiom(65), 0), imp(cond(axiom(65), 0))), pred(s1(plural(294)), 0), qu(cond(axiom(174), 0), imp(cond(axiom(174), 0))), ass(cond(conseq(271), 3), 1), neg(316), qu(cond(axiom(61), 0), imp(cond(axiom(61), 0))), pred(s2(plural(315)), 0), neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271)))))), qu(cond(axiom(9), 0), imp(cond(axiom(9), 0))), neg(neg(270)), holds(conjunct1(conjunct2(conjunct2(conjunct2(plural(271))))), 1209, 0), pred(269, 0), qu(cond(axiom(182), 0), imp(cond(axiom(182), 0))), qu(cond(axiom(117), 0), imp(cond(axiom(117), 0))), qu(cond(axiom(172), 0), imp(cond(axiom(172), 0))), qu(cond(axiom(115), 0), imp(cond(axiom(115), 0))), qu(cond(axiom(131), 0), imp(cond(axiom(131), 0))), qu(cond(axiom(196), 0), imp(cond(axiom(196), 0))), qu(cond(axiom(186), 0), imp(cond(axiom(186), 0))), qu(cond(axiom(127), 0), imp(cond(axiom(127), 0))), ass(cond(conseq(271), 9), 1), qu(cond(axiom(123), 0), imp(cond(axiom(123), 0))), qu(cond(axiom(25), 0), imp(cond(axiom(25), 0))), qu(cond(axiom(101), 0), imp(cond(axiom(101), 0))), qu(cond(axiom(125), 0), imp(cond(axiom(125), 0))), qu(cond(axiom(170), 0), imp(cond(axiom(170), 0))), qu(cond(axiom(111), 0), imp(cond(axiom(111), 0))), qu(cond(axiom(166), 0), imp(cond(axiom(166), 0))), qu(cond(axiom(105), 0), imp(cond(axiom(105), 0))), qu(cond(axiom(37), 0), imp(cond(axiom(37), 0))), qu(cond(axiom(63), 0), imp(cond(axiom(63), 0))), holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0), qu(cond(axiom(192), 0), imp(cond(axiom(192), 0))), ass(cond(conseq(271), 9), 2), holds(conjunct1(plural(271)), 1206, 0), ass(cond(goal(219), 0), 0), pred(axiom(137), 1), ass(cond(goal(206), 0), 2), qu(cond(axiom(29), 0), imp(cond(axiom(29), 0))), qu(cond(axiom(39), 0), imp(cond(axiom(39), 0))), qu(cond(axiom(129), 0), imp(cond(axiom(129), 0))), qe(s3(plural(271))), pred(s1(plural(269)), 0), qu(cond(axiom(73), 0), imp(cond(axiom(73), 0))), qu(cond(axiom(15), 0), imp(cond(axiom(15), 0))), qu(cond(axiom(85), 0), imp(cond(axiom(85), 0))), ass(cond(conseq(271), 3), 3), holds(conjunct1(conjunct2(conjunct2(plural(271)))), 1208, 0), ass(cond(goal(238), 0), 2), qu(cond(axiom(200), 0), imp(cond(axiom(200), 0))), qu(cond(axiom(27), 0), imp(cond(axiom(27), 0))), qu(cond(axiom(91), 0), imp(cond(axiom(91), 0))), ass(cond(goal(219), 0), 1), qu(cond(axiom(49), 0), imp(cond(axiom(49), 0))), pred(s3(plural(315)), 0), qu(cond(axiom(149), 0), imp(cond(axiom(149), 0))), qu(cond(axiom(7), 0), imp(cond(axiom(7), 0))), qu(cond(axiom(17), 0), imp(cond(axiom(17), 0))), qu(cond(axiom(51), 0), imp(cond(axiom(51), 0))), neg(neg(319)), holds(conjunct1(conjunct2(plural(271))), 1207, 0), qu(cond(axiom(141), 0), imp(cond(axiom(141), 0))), qu(cond(axiom(135), 0), imp(cond(axiom(135), 0))), qu(cond(axiom(47), 0), imp(cond(axiom(47), 0))), holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1211, 0), qu(cond(axiom(69), 0), imp(cond(axiom(69), 0))), qu(cond(axiom(147), 0), imp(cond(axiom(147), 0))), qu(cond(axiom(168), 0), imp(cond(axiom(168), 0))), qu(cond(axiom(204), 0), imp(cond(axiom(204), 0))), qu(cond(axiom(97), 0), imp(cond(axiom(97), 0))), holds(314, 1247, 0), qu(cond(axiom(162), 0), imp(cond(axiom(162), 0))), qu(cond(axiom(180), 0), imp(cond(axiom(180), 0))), qu(cond(axiom(153), 0), imp(cond(axiom(153), 0))), qu(cond(axiom(178), 0), imp(cond(axiom(178), 0))), qu(cond(axiom(160), 0), imp(cond(axiom(160), 0))), qu(cond(axiom(67), 0), imp(cond(axiom(67), 0))), qu(cond(axiom(93), 0), imp(cond(axiom(93), 0))), and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268))))))))))))))), qu(cond(axiom(198), 0), imp(cond(axiom(198), 0))), ass(cond(conseq(271), 3), 0) 25.37/8.67 % No. of inferences in proof: 318 25.37/8.67 % No. of processed clauses: 17 25.37/8.67 % No. of generated clauses: 322 25.37/8.67 % No. of forward subsumed clauses: 0 25.37/8.67 % No. of backward subsumed clauses: 0 25.37/8.67 % No. of ground rewrite rules in store: 10 25.37/8.67 % No. of non-ground rewrite rules in store: 0 25.37/8.67 % No. of positive (non-rewrite) units in store: 0 25.37/8.67 % No. of negative (non-rewrite) units in store: 4 25.37/8.67 % No. of choice functions detected: 0 25.37/8.67 % No. of choice instantiations: 0 25.37/8.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 8328 ms resp. 6986 ms w/o parsing 25.97/9.04 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 25.97/9.04 thf(vd1187_type, type, vd1187: $i). 25.97/9.04 thf(vd1185_type, type, vd1185: $i). 25.97/9.04 thf(vd1201_type, type, vd1201: $i). 25.97/9.04 thf(rR_type, type, rR: ($i > ($i > ($i > $o)))). 25.97/9.04 thf(vd684_type, type, vd684: $i). 25.97/9.04 thf(rreal_type, type, rreal: ($i > $o)). 25.97/9.04 thf(rpoint_type, type, rpoint: ($i > $o)). 25.97/9.04 thf(vskolem1078_type, type, vskolem1078: ($i > ($i > ($i > ($i > $i))))). 25.97/9.04 thf(rS_type, type, rS: ($i > ($i > ($i > $o)))). 25.97/9.04 thf(ron_type, type, ron: ($i > ($i > $o))). 25.97/9.04 thf(rline_type, type, rline: ($i > $o)). 25.97/9.04 thf(rcircle_type, type, rcircle: ($i > $o)). 25.97/9.04 thf(rcenter_type, type, rcenter: ($i > ($i > $o))). 25.97/9.04 thf(vskolem1052_type, type, vskolem1052: ($i > ($i > ($i > ($i > $i))))). 25.97/9.04 thf(rinside_type, type, rinside: ($i > ($i > $o))). 25.97/9.04 thf(vd1199_type, type, vd1199: $i). 25.97/9.04 thf(vd1197_type, type, vd1197: $i). 25.97/9.04 thf(rintersect_type, type, rintersect: ($i > ($i > $o))). 25.97/9.04 thf(vangle_type, type, vangle: ($i > ($i > ($i > $i)))). 25.97/9.04 thf(vperp_type, type, vperp: $i). 25.97/9.04 thf(vplus_type, type, vplus: ($i > ($i > $i))). 25.97/9.04 thf(rleq_type, type, rleq: ($i > ($i > $o))). 25.97/9.04 thf(v0_type, type, v0: $i). 25.97/9.04 thf(vf_type, type, vf: ($i > ($i > $i))). 25.97/9.04 thf(vd1232_type, type, vd1232: $i). 25.97/9.04 thf(vg_type, type, vg: ($i > ($i > ($i > $i)))). 25.97/9.04 thf(vd1234_type, type, vd1234: $i). 25.97/9.04 thf(vd1200_type, type, vd1200: $i). 25.97/9.04 thf(rgeq_type, type, rgeq: ($i > ($i > $o))). 25.97/9.04 thf(rless_type, type, rless: ($i > ($i > $o))). 25.97/9.04 thf(vtriangle_type, type, vtriangle: ($i > ($i > ($i > $i)))). 25.97/9.04 thf(rtriangle_type, type, rtriangle: ($i > $o)). 25.97/9.04 thf(vskolem1120_type, type, vskolem1120: ($i > ($i > ($i > ($i > ($i > ($i > ($i > ($i > $i))))))))). 25.97/9.04 thf(vd1186_type, type, vd1186: $i). 25.97/9.04 thf(vd14_type, type, vd14: $i). 25.97/9.04 thf(vd1178_type, type, vd1178: $i). 25.97/9.04 thf(vd1179_type, type, vd1179: $i). 25.97/9.04 thf(vd1180_type, type, vd1180: $i). 25.97/9.04 thf(46,axiom,((! [A:$i,B:$i]: ((rcenter @ A @ B) => (rinside @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))')). 25.97/9.04 thf(479,plain,((! [A:$i,B:$i]: ((rcenter @ A @ B) => (rinside @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[46])). 25.97/9.04 thf(147,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((E = D) & (ron @ C @ D) & (ron @ B @ D) & (ron @ A @ D) & ? [F:$i]: ((B = F) & (rpoint @ F)) & ? [F:$i]: ((F = A) & (rpoint @ F)) & ? [F:$i]: ((C = F) & (rpoint @ F)) & (B != A) & (C != A) & (C != B) & (rline @ E)) => ((rR @ C @ A @ B) | (rR @ A @ B @ C) | (rR @ B @ A @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))')). 25.97/9.04 thf(1105,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((E = D) & (ron @ C @ D) & (ron @ B @ D) & (ron @ A @ D) & ? [F:$i]: ((B = F) & (rpoint @ F)) & ? [F:$i]: ((F = A) & (rpoint @ F)) & ? [F:$i]: ((C = F) & (rpoint @ F)) & ~ (B = A) & ~ (C = A) & ~ (C = B) & (rline @ E)) => ((rR @ C @ A @ B) | (rR @ A @ B @ C) | (rR @ B @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[147])). 25.97/9.04 thf(56,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((rless @ (vplus @ A @ E) @ (vplus @ C @ E)) <= ((F = E) & (rreal @ F) & (rreal @ D) & (rreal @ B) & (B = A) & (C = D) & (rless @ A @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))')). 25.97/9.04 thf(518,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((rless @ (vplus @ A @ E) @ (vplus @ C @ E)) | ~ ((F = E) & (rreal @ F) & (rreal @ D) & (rreal @ B) & (B = A) & (C = D) & (rless @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])). 25.97/9.04 thf(91,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((? [E:$i]: ((D != E) & (E != A) & (rpoint @ E) & (B != E) & (C != E))) <= (? [E:$i]: ((E = D) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (E = C)) & ? [E:$i]: ((rpoint @ E) & (E = A)) & ? [E:$i]: ((rpoint @ E) & (B = E)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(13), 0), imp(cond(axiom(13), 0)))')). 25.97/9.04 thf(777,plain,((! [A:$i,B:$i,C:$i,D:$i]: (? [E:$i]: (~ (D = E) & ~ (E = A) & (rpoint @ E) & ~ (B = E) & ~ (C = E)) | ~ (? [E:$i]: ((E = D) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (E = C)) & ? [E:$i]: ((rpoint @ E) & (E = A)) & ? [E:$i]: ((rpoint @ E) & (B = E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[91])). 25.97/9.04 thf(148,axiom,((~ (ron @ vd1187 @ vd1197))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(270))')). 25.97/9.04 thf(1110,plain,((~ (ron @ vd1187 @ vd1197))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[148])). 25.97/9.04 thf(47,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((D != E) & ~ (rS @ E @ G @ B) & (ron @ D @ C) & (ron @ D @ A) & ? [H:$i]: ((rpoint @ H) & (G = H)) & ? [H:$i]: ((H = F) & (rpoint @ H)) & ? [H:$i]: ((D = H) & (rpoint @ H)) & ? [H:$i]: ((H = A) & (rline @ H)) & ? [H:$i]: ((H = B) & (rline @ H)) & ? [H:$i]: ((C = H) & (rline @ H)) & ? [H:$i]: ((H = E) & (rpoint @ H)) & (ron @ D @ B) & (ron @ E @ A) & (ron @ F @ B) & (ron @ G @ C) & (rS @ F @ G @ A) & ~ (ron @ G @ B)) => (rS @ E @ F @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(115), 0), imp(cond(axiom(115), 0)))')). 25.97/9.04 thf(481,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: ((~ (D = E) & ~ (rS @ E @ G @ B) & (ron @ D @ C) & (ron @ D @ A) & ? [H:$i]: ((rpoint @ H) & (G = H)) & ? [H:$i]: ((H = F) & (rpoint @ H)) & ? [H:$i]: ((D = H) & (rpoint @ H)) & ? [H:$i]: ((H = A) & (rline @ H)) & ? [H:$i]: ((H = B) & (rline @ H)) & ? [H:$i]: ((C = H) & (rline @ H)) & ? [H:$i]: ((H = E) & (rpoint @ H)) & (ron @ D @ B) & (ron @ E @ A) & (ron @ F @ B) & (ron @ G @ C) & (rS @ F @ G @ A) & ~ (ron @ G @ B)) => (rS @ E @ F @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[47])). 25.97/9.04 thf(57,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((rline @ H) & (rcenter @ F @ B) & (C != D) & (ron @ D @ A) & ? [I:$i]: ((I = C) & (rpoint @ I)) & ? [I:$i]: ((B = I) & (rcircle @ I)) & ? [I:$i]: ((A = I) & (rcircle @ I)) & (A != B) & (rintersect @ A @ B) & ? [I:$i]: ((D = I) & (rpoint @ I)) & (ron @ C @ A) & (ron @ C @ B) & (ron @ D @ B) & (rcenter @ E @ A) & (G = H) & (ron @ E @ G) & (ron @ F @ G)) => (~ (rS @ C @ D @ G))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(125), 0), imp(cond(axiom(125), 0)))')). 25.97/9.04 thf(523,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((rline @ H) & (rcenter @ F @ B) & ~ (C = D) & (ron @ D @ A) & ? [I:$i]: ((I = C) & (rpoint @ I)) & ? [I:$i]: ((B = I) & (rcircle @ I)) & ? [I:$i]: ((A = I) & (rcircle @ I)) & ~ (A = B) & (rintersect @ A @ B) & ? [I:$i]: ((D = I) & (rpoint @ I)) & (ron @ C @ A) & (ron @ C @ B) & (ron @ D @ B) & (rcenter @ E @ A) & (G = H) & (ron @ E @ G) & (ron @ F @ G)) => (~ (rS @ C @ D @ G))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[57])). 25.97/9.04 thf(79,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((rless @ (vplus @ (vangle @ A @ B @ C) @ (vangle @ B @ C @ D)) @ (vplus @ vperp @ vperp)) & (ron @ C @ H) & (ron @ C @ G) & (ron @ A @ F) & ? [I:$i]: ((rline @ I) & (I = G)) & ? [I:$i]: ((rline @ I) & (I = F)) & ? [I:$i]: ((rpoint @ I) & (A = I)) & ? [I:$i]: ((I = B) & (rpoint @ I)) & ? [I:$i]: ((rpoint @ I) & (I = C)) & ? [I:$i]: ((rpoint @ I) & (D = I)) & ? [I:$i]: ((rpoint @ I) & (E = I)) & ? [I:$i]: ((H = I) & (rline @ I)) & (ron @ B @ F) & (ron @ B @ G) & (ron @ D @ H) & (C != B) & (rS @ A @ D @ G)) => ((rintersect @ F @ G) & (((ron @ E @ F) & (ron @ E @ G)) => (rS @ E @ A @ G)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(196), 0), imp(cond(axiom(196), 0)))')). 25.97/9.04 thf(683,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((rless @ (vplus @ (vangle @ A @ B @ C) @ (vangle @ B @ C @ D)) @ (vplus @ vperp @ vperp)) & (ron @ C @ H) & (ron @ C @ G) & (ron @ A @ F) & ? [I:$i]: ((rline @ I) & (I = G)) & ? [I:$i]: ((rline @ I) & (I = F)) & ? [I:$i]: ((rpoint @ I) & (A = I)) & ? [I:$i]: ((I = B) & (rpoint @ I)) & ? [I:$i]: ((rpoint @ I) & (I = C)) & ? [I:$i]: ((rpoint @ I) & (D = I)) & ? [I:$i]: ((rpoint @ I) & (E = I)) & ? [I:$i]: ((H = I) & (rline @ I)) & (ron @ B @ F) & (ron @ B @ G) & (ron @ D @ H) & ~ (C = B) & (rS @ A @ D @ G)) => ((rintersect @ F @ G) & (((ron @ E @ F) & (ron @ E @ G)) => (rS @ E @ A @ G)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[79])). 25.97/9.04 thf(111,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((rS @ A @ B @ D) <= ((rS @ A @ C @ D) & (rline @ E) & ? [F:$i]: ((C = F) & (rpoint @ F)) & ? [F:$i]: ((F = B) & (rpoint @ F)) & ? [F:$i]: ((F = A) & (rpoint @ F)) & (E = D) & (rR @ B @ A @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(105), 0), imp(cond(axiom(105), 0)))')). 25.97/9.04 thf(873,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((rS @ A @ B @ D) | ~ ((rS @ A @ C @ D) & (rline @ E) & ? [F:$i]: ((C = F) & (rpoint @ F)) & ? [F:$i]: ((F = B) & (rpoint @ F)) & ? [F:$i]: ((F = A) & (rpoint @ F)) & (E = D) & (rR @ B @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[111])). 25.97/9.04 thf(42,axiom,((! [A:$i,B:$i]: ((rcenter @ A @ B) => (? [C:$i,D:$i]: ((D = B) & (rcircle @ D) & (rpoint @ C) & (A = C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))')). 25.97/9.04 thf(449,plain,((! [A:$i,B:$i]: ((rcenter @ A @ B) => (? [C:$i,D:$i]: ((D = B) & (rcircle @ D) & (rpoint @ C) & (A = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[42])). 25.97/9.04 thf(32,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((? [E:$i]: ((D != E) & (E != C) & (rpoint @ E) & (ron @ E @ A))) <= (? [E:$i]: ((rpoint @ E) & (E = C)) & (A = B) & (rcircle @ B) & ? [E:$i]: ((E = D) & (rpoint @ E)) & (ron @ C @ A) & (ron @ D @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(45), 0), imp(cond(axiom(45), 0)))')). 25.97/9.04 thf(379,plain,((! [A:$i,B:$i,C:$i,D:$i]: (? [E:$i]: (~ (D = E) & ~ (E = C) & (rpoint @ E) & (ron @ E @ A)) | ~ (? [E:$i]: ((rpoint @ E) & (E = C)) & (A = B) & (rcircle @ B) & ? [E:$i]: ((E = D) & (rpoint @ E)) & (ron @ C @ A) & (ron @ D @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])). 25.97/9.04 thf(112,axiom,(((vd1199 != vd1185) => ((rR @ vd1185 @ vd1199 @ vd1186) | (rR @ vd1199 @ vd1185 @ vd1186)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(271), 3), 0)')). 25.97/9.04 thf(878,plain,(((~ (vd1199 = vd1185)) => ((rR @ vd1185 @ vd1199 @ vd1186) | (rR @ vd1199 @ vd1185 @ vd1186)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[112])). 25.97/9.04 thf(40,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((vf @ C @ (vskolem1052 @ A @ B @ C @ D)) = (vf @ A @ C)) <= ((A != C) & (rpoint @ D) & (rpoint @ B) & (A = B) & (C = D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 1)')). 25.97/9.04 thf(440,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((vf @ C @ (vskolem1052 @ A @ B @ C @ D)) = (vf @ A @ C)) | ~ (~ (A = C) & (rpoint @ D) & (rpoint @ B) & (A = B) & (C = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])). 25.97/9.04 thf(143,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((? [G:$i]: ((G != F) & (rR @ G @ C @ D) & (rpoint @ G) & (G != E))) <= ((rR @ F @ C @ D) & (rR @ E @ C @ D) & (ron @ E @ A) & (ron @ C @ A) & ? [G:$i]: ((rpoint @ G) & (F = G)) & ? [G:$i]: ((rpoint @ G) & (G = E)) & (B = A) & (rline @ B) & ? [G:$i]: ((C = G) & (rpoint @ G)) & ? [G:$i]: ((G = D) & (rpoint @ G)) & (ron @ D @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(27), 0), imp(cond(axiom(27), 0)))')). 25.97/9.04 thf(1078,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (? [G:$i]: (~ (G = F) & (rR @ G @ C @ D) & (rpoint @ G) & ~ (G = E)) | ~ ((rR @ F @ C @ D) & (rR @ E @ C @ D) & (ron @ E @ A) & (ron @ C @ A) & ? [G:$i]: ((rpoint @ G) & (F = G)) & ? [G:$i]: ((rpoint @ G) & (G = E)) & (B = A) & (rline @ B) & ? [G:$i]: ((C = G) & (rpoint @ G)) & ? [G:$i]: ((G = D) & (rpoint @ G)) & (ron @ D @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[143])). 25.97/9.04 thf(52,axiom,((! [A:$i,B:$i,C:$i]: (((A != B) & ? [D:$i]: ((A = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (B = D)) & ? [D:$i]: ((C = D) & (rpoint @ D)) & (A != C)) => ((vangle @ C @ B @ A) = (vangle @ A @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))')). 25.97/9.04 thf(500,plain,((! [A:$i,B:$i,C:$i]: ((~ (A = B) & ? [D:$i]: ((A = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (B = D)) & ? [D:$i]: ((C = D) & (rpoint @ D)) & ~ (A = C)) => ((vangle @ C @ B @ A) = (vangle @ A @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])). 25.97/9.04 thf(45,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((rpoint @ C) & (C = A))) => ((v0 = (vf @ A @ B)) <=> (A = B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))')). 25.97/9.04 thf(472,plain,((! [A:$i,B:$i]: ((? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((rpoint @ C) & (C = A))) => (((v0 = (vf @ A @ B)) => (A = B)) & ((A = B) => (v0 = (vf @ A @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[45])). 25.97/9.04 thf(86,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((vg @ D @ E @ F) = (vg @ A @ B @ C)) <= (((vangle @ C @ A @ B) = (vangle @ F @ D @ E)) & ((vf @ E @ F) = (vf @ B @ C)) & ? [G:$i]: ((E = G) & (rpoint @ G)) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (A = G)) & ? [G:$i]: ((rpoint @ G) & (C = G)) & ? [G:$i]: ((rpoint @ G) & (D = G)) & ? [G:$i]: ((F = G) & (rpoint @ G)) & ((vf @ A @ B) = (vf @ D @ E)) & ((vf @ C @ A) = (vf @ F @ D)) & ((vangle @ D @ E @ F) = (vangle @ A @ B @ C)) & ((vangle @ E @ F @ D) = (vangle @ B @ C @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(178), 0), imp(cond(axiom(178), 0)))')). 25.97/9.04 thf(747,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((vg @ D @ E @ F) = (vg @ A @ B @ C)) | ~ (((vangle @ C @ A @ B) = (vangle @ F @ D @ E)) & ((vf @ E @ F) = (vf @ B @ C)) & ? [G:$i]: ((E = G) & (rpoint @ G)) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (A = G)) & ? [G:$i]: ((rpoint @ G) & (C = G)) & ? [G:$i]: ((rpoint @ G) & (D = G)) & ? [G:$i]: ((F = G) & (rpoint @ G)) & ((vf @ A @ B) = (vf @ D @ E)) & ((vf @ C @ A) = (vf @ F @ D)) & ((vangle @ D @ E @ F) = (vangle @ A @ B @ C)) & ((vangle @ E @ F @ D) = (vangle @ B @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[86])). 25.97/9.04 thf(35,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rline @ D) & (B = A) & (rline @ B) & (D = C) & (rintersect @ A @ C)) => (? [E:$i]: ((ron @ E @ C) & (rpoint @ E) & (ron @ E @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(55), 0), imp(cond(axiom(55), 0)))')). 25.97/9.04 thf(404,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rline @ D) & (B = A) & (rline @ B) & (D = C) & (rintersect @ A @ C)) => (? [E:$i]: ((ron @ E @ C) & (rpoint @ E) & (ron @ E @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])). 25.97/9.04 thf(126,axiom,((rS @ vd1187 @ vd1201 @ vd1197)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(295, 1236, 0)')). 25.97/9.04 thf(973,plain,((rS @ vd1187 @ vd1201 @ vd1197)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[126])). 25.97/9.04 thf(60,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rless @ A @ C) & (B = A) & (rreal @ B) & (rreal @ D) & (C = D)) => (~ (rless @ C @ A) | (A = C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))')). 25.97/9.04 thf(565,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rless @ A @ C) & (B = A) & (rreal @ B) & (rreal @ D) & (C = D)) => (~ (rless @ C @ A) | (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[60])). 25.97/9.04 thf(61,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: ((rpoint @ (vskolem1120 @ A @ B @ C @ D @ E @ F @ G @ H)) <= ((rpoint @ H) & (rpoint @ F) & (C = D) & (rpoint @ D) & (B = A) & (rpoint @ B) & (F = E) & (H = G) & (C != A) & (G != E) & (rless @ (vf @ E @ G) @ (vf @ A @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)')). 25.97/9.04 thf(570,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: ((rpoint @ (vskolem1120 @ A @ B @ C @ D @ E @ F @ G @ H)) | ~ ((rpoint @ H) & (rpoint @ F) & (C = D) & (rpoint @ D) & (B = A) & (rpoint @ B) & (F = E) & (H = G) & ~ (C = A) & ~ (G = E) & (rless @ (vf @ E @ G) @ (vf @ A @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[61])). 25.97/9.04 thf(53,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((rgeq @ (vg @ A @ C @ E) @ v0) <= ((rpoint @ F) & (rpoint @ D) & (B = A) & (rpoint @ B) & (C = D) & (F = E))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(174), 0), imp(cond(axiom(174), 0)))')). 25.97/9.04 thf(504,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((rgeq @ (vg @ A @ C @ E) @ v0) | ~ ((rpoint @ F) & (rpoint @ D) & (B = A) & (rpoint @ B) & (C = D) & (F = E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[53])). 25.97/9.04 thf(81,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((? [E:$i]: ((ron @ E @ C) & (rpoint @ E) & (ron @ E @ A))) <= ((rintersect @ C @ A) & (D = C) & (rline @ D) & (rcircle @ B) & (B = A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(57), 0), imp(cond(axiom(57), 0)))')). 25.97/9.04 thf(702,plain,((! [A:$i,B:$i,C:$i,D:$i]: (? [E:$i]: ((ron @ E @ C) & (rpoint @ E) & (ron @ E @ A)) | ~ ((rintersect @ C @ A) & (D = C) & (rline @ D) & (rcircle @ B) & (B = A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[81])). 25.97/9.04 thf(87,axiom,((! [A:$i,B:$i]: (((rreal @ B) & (B = A)) => (~ (rless @ A @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))')). 25.97/9.04 thf(751,plain,((! [A:$i,B:$i]: (((rreal @ B) & (B = A)) => (~ (rless @ A @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[87])). 25.97/9.04 thf(152,axiom,((? [A:$i]: ((rpoint @ A) & (A = vd1201)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))')). 25.97/9.04 thf(1132,plain,((? [A:$i]: ((rpoint @ A) & (A = vd1201)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[152])). 25.97/9.04 thf(110,axiom,(((~ (rR @ vd1185 @ vd1199 @ vd1186)) <= (vd1199 != vd1185))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(271), 3), 1)')). 25.97/9.04 thf(870,plain,((~ (rR @ vd1185 @ vd1199 @ vd1186) | (vd1199 = vd1185))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[110])). 25.97/9.04 thf(113,axiom,(((vf @ vd1199 @ vd1200) = (vf @ vd1185 @ vd1186))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(273, 1215, 0)')). 25.97/9.04 thf(881,plain,(((vf @ vd1199 @ vd1200) = (vf @ vd1185 @ vd1186))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[113])). 25.97/9.04 thf(150,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((G = F) & (rcircle @ G) & ? [H:$i]: ((C = H) & (rpoint @ H)) & ? [H:$i]: ((rpoint @ H) & (H = B)) & ? [H:$i]: ((A = H) & (rpoint @ H)) & (rline @ E) & (E = D) & ((ron @ A @ F) | (rinside @ A @ F)) & ((rinside @ B @ F) | (ron @ B @ F)) & (rR @ C @ A @ B)) => (rinside @ C @ F)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(121), 0), imp(cond(axiom(121), 0)))')). 25.97/9.04 thf(1115,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((G = F) & (rcircle @ G) & ? [H:$i]: ((C = H) & (rpoint @ H)) & ? [H:$i]: ((rpoint @ H) & (H = B)) & ? [H:$i]: ((A = H) & (rpoint @ H)) & (rline @ E) & (E = D) & ((ron @ A @ F) | (rinside @ A @ F)) & ((rinside @ B @ F) | (ron @ B @ F)) & (rR @ C @ A @ B)) => (rinside @ C @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[150])). 25.97/9.04 thf(24,axiom,((! [A:$i,B:$i,C:$i]: ((? [D:$i]: ((C = D) & (rpoint @ D)) & ? [D:$i]: ((B = D) & (rpoint @ D)) & ? [D:$i]: ((D = A) & (rpoint @ D))) => (? [D:$i]: ((rpoint @ D) & (D != A) & (B != D) & (D != C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(11), 0), imp(cond(axiom(11), 0)))')). 25.97/9.04 thf(325,plain,((! [A:$i,B:$i,C:$i]: ((? [D:$i]: ((C = D) & (rpoint @ D)) & ? [D:$i]: ((B = D) & (rpoint @ D)) & ? [D:$i]: ((D = A) & (rpoint @ D))) => (? [D:$i]: ((rpoint @ D) & ~ (D = A) & ~ (B = D) & ~ (D = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])). 25.97/9.04 thf(18,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: ((? [I:$i]: ((E != I) & (rpoint @ I) & (rS @ I @ C @ A) & (I != C) & (I != G))) <= ((rS @ G @ C @ A) & (rS @ E @ C @ A) & ~ (ron @ C @ A) & (rpoint @ D) & (rline @ B) & (A = B) & (rpoint @ F) & (rpoint @ H) & (G = H) & (F = E) & (C = D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(37), 0), imp(cond(axiom(37), 0)))')). 25.97/9.04 thf(289,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (? [I:$i]: (~ (E = I) & (rpoint @ I) & (rS @ I @ C @ A) & ~ (I = C) & ~ (I = G)) | ~ ((rS @ G @ C @ A) & (rS @ E @ C @ A) & ~ (ron @ C @ A) & (rpoint @ D) & (rline @ B) & (A = B) & (rpoint @ F) & (rpoint @ H) & (G = H) & (F = E) & (C = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])). 25.97/9.04 thf(51,axiom,((! [A:$i,B:$i]: (((rline @ B) & (B = A)) => (? [C:$i]: ((ron @ C @ A) & (rpoint @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(15), 0), imp(cond(axiom(15), 0)))')). 25.97/9.04 thf(492,plain,((! [A:$i,B:$i]: (((rline @ B) & (B = A)) => (? [C:$i]: ((ron @ C @ A) & (rpoint @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[51])). 25.97/9.04 thf(4,axiom,((! [A:$i,B:$i]: ((! [C:$i,D:$i]: (((C = D) & (C != B) & (rpoint @ D) & (A != C)) => (rpoint @ (vskolem1078 @ C @ D @ A @ B)))) <= (? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((C = A) & (rpoint @ C)) & (A != B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 1)')). 25.97/9.04 thf(164,plain,((! [A:$i,B:$i]: (! [C:$i,D:$i]: (((C = D) & ~ (C = B) & (rpoint @ D) & ~ (A = C)) => (rpoint @ (vskolem1078 @ C @ D @ A @ B))) | ~ (? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((C = A) & (rpoint @ C)) & ~ (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 25.97/9.04 thf(88,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((rless @ C @ E) & (rless @ A @ C) & (F = E) & (rreal @ F) & (C = D) & (A = B) & (rreal @ B) & (rreal @ D)) => (rless @ A @ E)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))')). 25.97/9.04 thf(756,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((rless @ C @ E) & (rless @ A @ C) & (F = E) & (rreal @ F) & (C = D) & (A = B) & (rreal @ B) & (rreal @ D)) => (rless @ A @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[88])). 25.97/9.04 thf(23,axiom,((! [A:$i,B:$i]: ((! [C:$i,D:$i]: (((rpoint @ D) & (A != C) & (C != B) & (D = C)) => ((vf @ C @ (vskolem1078 @ C @ D @ A @ B)) = (vf @ A @ B)))) <= (? [C:$i]: ((A = C) & (rpoint @ C)) & ? [C:$i]: ((rpoint @ C) & (B = C)) & (B != A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 0)')). 25.97/9.04 thf(321,plain,((! [A:$i,B:$i]: (! [C:$i,D:$i]: (((rpoint @ D) & ~ (A = C) & ~ (C = B) & (D = C)) => ((vf @ C @ (vskolem1078 @ C @ D @ A @ B)) = (vf @ A @ B))) | ~ (? [C:$i]: ((A = C) & (rpoint @ C)) & ? [C:$i]: ((rpoint @ C) & (B = C)) & ~ (B = A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])). 25.97/9.04 thf(153,axiom,(((vangle @ vd1200 @ vd1199 @ vd1201) = (vangle @ vd1179 @ vd1178 @ vd1180))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(plural(271)), 1206, 0)')). 25.97/9.04 thf(1136,plain,(((vangle @ vd1200 @ vd1199 @ vd1201) = (vangle @ vd1179 @ vd1178 @ vd1180))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[153])). 25.97/9.04 thf(14,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((A = C) & (rpoint @ C)) & ? [C:$i]: ((rpoint @ C) & (B = C)) & (A != B)) => (? [C:$i]: ((rline @ C) & (ron @ A @ C) & (ron @ B @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))')). 25.97/9.04 thf(238,plain,((! [A:$i,B:$i]: ((? [C:$i]: ((A = C) & (rpoint @ C)) & ? [C:$i]: ((rpoint @ C) & (B = C)) & ~ (A = B)) => (? [C:$i]: ((rline @ C) & (ron @ A @ C) & (ron @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 25.97/9.04 thf(119,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((ron @ G @ C) & (rpoint @ H) & (ron @ E @ C) & (rinside @ E @ A) & (D = C) & (A = B) & (rcircle @ B) & (rline @ D) & (rpoint @ F) & (E = F) & (G = H) & (G != E)) => (? [I:$i]: ((ron @ I @ A) & (rpoint @ I) & (ron @ I @ C) & (rR @ E @ I @ G)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(63), 0), imp(cond(axiom(63), 0)))')). 25.97/9.04 thf(937,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((ron @ G @ C) & (rpoint @ H) & (ron @ E @ C) & (rinside @ E @ A) & (D = C) & (A = B) & (rcircle @ B) & (rline @ D) & (rpoint @ F) & (E = F) & (G = H) & ~ (G = E)) => (? [I:$i]: ((ron @ I @ A) & (rpoint @ I) & (ron @ I @ C) & (rR @ E @ I @ G)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[119])). 25.97/9.04 thf(27,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((A != C) & (rpoint @ C))) <= ((rpoint @ B) & (B = A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(7), 0), imp(cond(axiom(7), 0)))')). 25.97/9.04 thf(348,plain,((! [A:$i,B:$i]: (? [C:$i]: (~ (A = C) & (rpoint @ C)) | ~ ((rpoint @ B) & (B = A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])). 25.97/9.04 thf(62,axiom,((? [A:$i]: ((vd1200 = A) & (rpoint @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(271)))')). 25.97/9.04 thf(574,plain,((? [A:$i]: ((vd1200 = A) & (rpoint @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[62])). 25.97/9.04 thf(94,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((rintersect @ E @ C) <= ((rinside @ A @ C) & (E = F) & (D = C) & (B = A) & (rpoint @ B) & (rcircle @ D) & (rline @ F) & (ron @ A @ E))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(131), 0), imp(cond(axiom(131), 0)))')). 25.97/9.04 thf(806,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((rintersect @ E @ C) | ~ ((rinside @ A @ C) & (E = F) & (D = C) & (B = A) & (rpoint @ B) & (rcircle @ D) & (rline @ F) & (ron @ A @ E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[94])). 25.97/9.04 thf(125,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((ron @ C @ A) & ? [E:$i]: ((rpoint @ E) & (D = E)) & ? [E:$i]: ((rpoint @ E) & (E = C)) & (A = B) & (rline @ B) & (ron @ D @ A) & (D != C)) => (? [E:$i]: ((rpoint @ E) & (rR @ D @ C @ E)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(29), 0), imp(cond(axiom(29), 0)))')). 25.97/9.04 thf(966,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((ron @ C @ A) & ? [E:$i]: ((rpoint @ E) & (D = E)) & ? [E:$i]: ((rpoint @ E) & (E = C)) & (A = B) & (rline @ B) & (ron @ D @ A) & ~ (D = C)) => (? [E:$i]: ((rpoint @ E) & (rR @ D @ C @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[125])). 25.97/9.04 thf(118,axiom,((((vangle @ vd1179 @ vd1178 @ vd1180) = (vangle @ vd1186 @ vd1185 @ vd1187)) & ((vf @ vd1178 @ vd1180) = (vf @ vd1185 @ vd1187)) & ((vf @ vd1178 @ vd1179) = (vf @ vd1185 @ vd1186)) & ? [A:$i]: ((rpoint @ A) & (vd1186 = A)) & (vd1180 != vd1179) & (vd1178 != vd1179) & ? [A:$i]: ((rpoint @ A) & (A = vd1179)) & ? [A:$i]: ((vd1178 = A) & (rpoint @ A)) & ? [A:$i]: ((A = vd1180) & (rpoint @ A)) & (vd1180 != vd1178) & ? [A:$i]: ((A = vd1185) & (rpoint @ A)) & ? [A:$i]: ((A = vd1187) & (rpoint @ A)) & ~ (? [A:$i]: ((rline @ A) & (ron @ vd1185 @ A) & (ron @ vd1186 @ A) & (ron @ vd1187 @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))')). 25.97/9.04 thf(905,plain,((((vangle @ vd1179 @ vd1178 @ vd1180) = (vangle @ vd1186 @ vd1185 @ vd1187)) & ((vf @ vd1178 @ vd1180) = (vf @ vd1185 @ vd1187)) & ((vf @ vd1178 @ vd1179) = (vf @ vd1185 @ vd1186)) & ? [A:$i]: ((rpoint @ A) & (vd1186 = A)) & ~ (vd1180 = vd1179) & ~ (vd1178 = vd1179) & ? [A:$i]: ((rpoint @ A) & (A = vd1179)) & ? [A:$i]: ((vd1178 = A) & (rpoint @ A)) & ? [A:$i]: ((A = vd1180) & (rpoint @ A)) & ~ (vd1180 = vd1178) & ? [A:$i]: ((A = vd1185) & (rpoint @ A)) & ? [A:$i]: ((A = vd1187) & (rpoint @ A)) & ~ (? [A:$i]: ((rline @ A) & (ron @ vd1185 @ A) & (ron @ vd1186 @ A) & (ron @ vd1187 @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[118])). 25.97/9.04 thf(34,axiom,((! [A:$i,B:$i,C:$i]: ((? [D:$i]: ((rpoint @ D) & (D = B)) & ? [D:$i]: ((A = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (C = D))) => (? [D:$i]: ((rreal @ D) & ((vg @ A @ B @ C) = D)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(198), 0), imp(cond(axiom(198), 0)))')). 25.97/9.04 thf(397,plain,((! [A:$i,B:$i,C:$i]: ((? [D:$i]: ((rpoint @ D) & (D = B)) & ? [D:$i]: ((A = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (C = D))) => (? [D:$i]: ((rreal @ D) & ((vg @ A @ B @ C) = D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])). 25.97/9.04 thf(139,axiom,((~ (rR @ vd1185 @ vd1201 @ vd1187))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(316)')). 25.97/9.04 thf(1072,plain,((~ (rR @ vd1185 @ vd1201 @ vd1187))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[139])). 25.97/9.04 thf(20,axiom,((vd684 = v0)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)')). 25.97/9.04 thf(307,plain,((vd684 = v0)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])). 25.97/9.04 thf(140,axiom,((ron @ vd1201 @ vd1232)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(315)), 0)')). 25.97/9.04 thf(1074,plain,((ron @ vd1201 @ vd1232)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[140])). 25.97/9.04 thf(15,axiom,((! [A:$i,B:$i,C:$i]: ((? [D:$i]: ((D = A) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (B = D)) & ? [D:$i]: ((rpoint @ D) & (C = D))) => ((rleq @ (vangle @ A @ B @ C) @ (vplus @ vperp @ vperp)) & (rleq @ v0 @ (vangle @ A @ B @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(170), 0), imp(cond(axiom(170), 0)))')). 25.97/9.04 thf(248,plain,((! [A:$i,B:$i,C:$i]: ((? [D:$i]: ((D = A) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (B = D)) & ? [D:$i]: ((rpoint @ D) & (C = D))) => ((rleq @ (vangle @ A @ B @ C) @ (vplus @ vperp @ vperp)) & (rleq @ v0 @ (vangle @ A @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])). 25.97/9.04 thf(39,axiom,((rline @ vd1234)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(294, 0)')). 25.97/9.04 thf(439,plain,((rline @ vd1234)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])). 25.97/9.04 thf(77,axiom,((! [A:$i,B:$i]: (((vf @ B @ A) = (vf @ A @ B)) <= (? [C:$i]: ((A = C) & (rpoint @ C)) & ? [C:$i]: ((C = B) & (rpoint @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))')). 25.97/9.04 thf(678,plain,((! [A:$i,B:$i]: (((vf @ B @ A) = (vf @ A @ B)) | ~ (? [C:$i]: ((A = C) & (rpoint @ C)) & ? [C:$i]: ((C = B) & (rpoint @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[77])). 25.97/9.04 thf(92,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((rS @ A @ C @ D) & (rline @ E) & ? [F:$i]: ((F = B) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((F = C) & (rpoint @ F)) & (E = D) & (rS @ A @ B @ D)) => (rS @ B @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))')). 25.97/9.04 thf(793,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((rS @ A @ C @ D) & (rline @ E) & ? [F:$i]: ((F = B) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((F = C) & (rpoint @ F)) & (E = D) & (rS @ A @ B @ D)) => (rS @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[92])). 25.97/9.04 thf(89,axiom,(((vf @ vd1178 @ vd1179) = (vf @ vd1199 @ vd1200))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(conjunct2(plural(271))))), 1209, 0)')). 25.97/9.04 thf(761,plain,(((vf @ vd1178 @ vd1179) = (vf @ vd1199 @ vd1200))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[89])). 25.97/9.04 thf(93,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((((vf @ C @ A) = (vf @ C @ E)) <=> (ron @ A @ D)) <= ((ron @ E @ D) & (F = E) & (rpoint @ B) & (B = A) & (rcenter @ C @ D) & (rpoint @ F))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))')). 25.97/9.04 thf(798,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((((vf @ C @ A) = (vf @ C @ E)) => (ron @ A @ D)) & ((ron @ A @ D) => ((vf @ C @ A) = (vf @ C @ E)))) | ~ ((ron @ E @ D) & (F = E) & (rpoint @ B) & (B = A) & (rcenter @ C @ D) & (rpoint @ F))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[93])). 25.97/9.04 thf(135,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((rS @ B @ C @ D) <= ((ron @ A @ D) & (rline @ E) & ? [F:$i]: ((B = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (F = A)) & ? [F:$i]: ((F = C) & (rpoint @ F)) & (E = D) & (rR @ B @ A @ C) & ~ (ron @ B @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(107), 0), imp(cond(axiom(107), 0)))')). 25.97/9.04 thf(1057,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((rS @ B @ C @ D) | ~ ((ron @ A @ D) & (rline @ E) & ? [F:$i]: ((B = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (F = A)) & ? [F:$i]: ((F = C) & (rpoint @ F)) & (E = D) & (rR @ B @ A @ C) & ~ (ron @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[135])). 25.97/9.04 thf(158,axiom,(((vangle @ vd1178 @ vd1180 @ vd1179) = (vangle @ vd1199 @ vd1201 @ vd1200))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(plural(271))), 1207, 0)')). 25.97/9.04 thf(1163,plain,(((vangle @ vd1178 @ vd1180 @ vd1179) = (vangle @ vd1199 @ vd1201 @ vd1200))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[158])). 25.97/9.04 thf(144,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: ((~ (rR @ A @ C @ E) & ~ (rR @ A @ B @ D) & (A != E) & (A != D) & (ron @ D @ F) & (ron @ B @ F) & ? [H:$i]: ((rline @ H) & (F = H)) & ? [H:$i]: ((rpoint @ H) & (E = H)) & ? [H:$i]: ((H = D) & (rpoint @ H)) & ? [H:$i]: ((rpoint @ H) & (H = C)) & ? [H:$i]: ((rpoint @ H) & (B = H)) & ? [H:$i]: ((rpoint @ H) & (H = A)) & ? [H:$i]: ((H = G) & (rline @ H)) & (ron @ A @ F) & (ron @ C @ G) & (ron @ E @ G) & (B != A) & (C != A)) => ((vangle @ D @ A @ E) = (vangle @ B @ A @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))')). 25.97/9.04 thf(1091,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: ((~ (rR @ A @ C @ E) & ~ (rR @ A @ B @ D) & ~ (A = E) & ~ (A = D) & (ron @ D @ F) & (ron @ B @ F) & ? [H:$i]: ((rline @ H) & (F = H)) & ? [H:$i]: ((rpoint @ H) & (E = H)) & ? [H:$i]: ((H = D) & (rpoint @ H)) & ? [H:$i]: ((rpoint @ H) & (H = C)) & ? [H:$i]: ((rpoint @ H) & (B = H)) & ? [H:$i]: ((rpoint @ H) & (H = A)) & ? [H:$i]: ((H = G) & (rline @ H)) & (ron @ A @ F) & (ron @ C @ G) & (ron @ E @ G) & ~ (B = A) & ~ (C = A)) => ((vangle @ D @ A @ E) = (vangle @ B @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[144])). 25.97/9.04 thf(100,axiom,((vd1199 = vd1185)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(291, 1230, 0)')). 25.97/9.04 thf(825,plain,((vd1199 = vd1185)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[100])). 25.97/9.04 thf(1,conjecture,(((rR @ vd1187 @ vd1185 @ vd1201) | (rR @ vd1201 @ vd1185 @ vd1187))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','dis(321)')). 25.97/9.04 thf(2,negated_conjecture,((~ ((rR @ vd1187 @ vd1185 @ vd1201) | (rR @ vd1201 @ vd1185 @ vd1187)))),inference(neg_conjecture,[status(cth)],[1])). 25.97/9.04 thf(160,plain,((~ ((rR @ vd1187 @ vd1185 @ vd1201) | (rR @ vd1201 @ vd1185 @ vd1187)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 25.97/9.04 thf(33,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((~ (ron @ B @ D) & ~ (ron @ A @ D) & (D = E) & ? [F:$i]: ((C = F) & (rpoint @ F)) & ? [F:$i]: ((A = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (F = B)) & (rline @ E) & ~ (ron @ C @ D) & ~ (rS @ A @ B @ D)) => ((rS @ B @ C @ D) | (rS @ A @ C @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(103), 0), imp(cond(axiom(103), 0)))')). 25.97/9.04 thf(392,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((~ (ron @ B @ D) & ~ (ron @ A @ D) & (D = E) & ? [F:$i]: ((C = F) & (rpoint @ F)) & ? [F:$i]: ((A = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (F = B)) & (rline @ E) & ~ (ron @ C @ D) & ~ (rS @ A @ B @ D)) => ((rS @ B @ C @ D) | (rS @ A @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])). 25.97/9.04 thf(106,axiom,(((vd1199 != vd1185) => ((rR @ vd1185 @ vd1199 @ vd1186) | (rR @ vd1199 @ vd1185 @ vd1186)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(271), 3), 3)')). 25.97/9.04 thf(852,plain,(((~ (vd1199 = vd1185)) => ((rR @ vd1185 @ vd1199 @ vd1186) | (rR @ vd1199 @ vd1185 @ vd1186)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[106])). 25.97/9.04 thf(78,axiom,((ron @ vd1199 @ vd1197)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(272, 0)')). 25.97/9.04 thf(682,plain,((ron @ vd1199 @ vd1197)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[78])). 25.97/9.04 thf(127,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((~ (ron @ D @ E) & (rR @ C @ A @ B) & (E = F) & ? [G:$i]: ((D = G) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (A = G)) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((C = G) & (rpoint @ G)) & (rline @ F)) => (((vangle @ D @ C @ B) = (vangle @ A @ C @ D)) <=> ((vangle @ A @ C @ D) = vperp))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(192), 0), imp(cond(axiom(192), 0)))')). 25.97/9.04 thf(974,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((~ (ron @ D @ E) & (rR @ C @ A @ B) & (E = F) & ? [G:$i]: ((D = G) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (A = G)) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((C = G) & (rpoint @ G)) & (rline @ F)) => ((((vangle @ D @ C @ B) = (vangle @ A @ C @ D)) => ((vangle @ A @ C @ D) = vperp)) & (((vangle @ A @ C @ D) = vperp) => ((vangle @ D @ C @ B) = (vangle @ A @ C @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[127])). 25.97/9.04 thf(13,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((? [E:$i]: (rintersect @ E @ C)) <= (((rinside @ B @ C) | (ron @ B @ C)) & ? [E:$i]: ((rcircle @ E) & (E = D)) & ? [E:$i]: ((E = C) & (rcircle @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((E = A) & (rpoint @ E)) & ((ron @ A @ C) | (rinside @ A @ C)) & ~ (? [E:$i]: (rS @ A @ B @ E)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(129), 0), imp(cond(axiom(129), 0)))')). 25.97/9.04 thf(224,plain,((! [A:$i,B:$i,C:$i,D:$i]: (? [E:$i]: (rintersect @ E @ C) | ~ (((rinside @ B @ C) | (ron @ B @ C)) & ? [E:$i]: ((rcircle @ E) & (E = D)) & ? [E:$i]: ((E = C) & (rcircle @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((E = A) & (rpoint @ E)) & ((ron @ A @ C) | (rinside @ A @ C)) & ~ (? [E:$i]: (rS @ A @ B @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 25.97/9.04 thf(63,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((A = C) & (rpoint @ C)) & (A != B)) => (? [C:$i]: ((rcenter @ A @ C) & (rcircle @ C) & (ron @ B @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))')). 25.97/9.04 thf(578,plain,((! [A:$i,B:$i]: ((? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((A = C) & (rpoint @ C)) & ~ (A = B)) => (? [C:$i]: ((rcenter @ A @ C) & (rcircle @ C) & (ron @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[63])). 25.97/9.04 thf(155,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((D = E) & (ron @ B @ D) & (ron @ A @ D) & ? [F:$i]: ((rpoint @ F) & (B = F)) & ? [F:$i]: ((F = A) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (C = F)) & (rline @ E) & (rR @ B @ A @ C)) => (ron @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))')). 25.97/9.04 thf(1143,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((D = E) & (ron @ B @ D) & (ron @ A @ D) & ? [F:$i]: ((rpoint @ F) & (B = F)) & ? [F:$i]: ((F = A) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (C = F)) & (rline @ E) & (rR @ B @ A @ C)) => (ron @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[155])). 25.97/9.04 thf(22,axiom,((! [A:$i,B:$i]: ((rleq @ v0 @ (vf @ A @ B)) <= (? [C:$i]: ((rpoint @ C) & (A = C)) & ? [C:$i]: ((rpoint @ C) & (B = C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(164), 0), imp(cond(axiom(164), 0)))')). 25.97/9.04 thf(317,plain,((! [A:$i,B:$i]: ((rleq @ v0 @ (vf @ A @ B)) | ~ (? [C:$i]: ((rpoint @ C) & (A = C)) & ? [C:$i]: ((rpoint @ C) & (B = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])). 25.97/9.04 thf(137,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((ron @ C @ A) & ? [E:$i]: ((E = D) & (rpoint @ E)) & (rline @ B) & (A = B) & ? [E:$i]: ((rpoint @ E) & (E = C)) & (ron @ D @ A) & (D != C)) => (? [E:$i]: ((rR @ E @ C @ D) & (rpoint @ E)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(23), 0), imp(cond(axiom(23), 0)))')). 25.97/9.04 thf(1064,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((ron @ C @ A) & ? [E:$i]: ((E = D) & (rpoint @ E)) & (rline @ B) & (A = B) & ? [E:$i]: ((rpoint @ E) & (E = C)) & (ron @ D @ A) & ~ (D = C)) => (? [E:$i]: ((rR @ E @ C @ D) & (rpoint @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[137])). 25.97/9.04 thf(145,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((rline @ E) & ? [F:$i]: ((F = A) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (B = F)) & ? [F:$i]: ((rpoint @ F) & (C = F)) & (E = D) & (rR @ B @ A @ C) & (ron @ B @ D)) => (~ (rS @ A @ C @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))')). 25.97/9.05 thf(1096,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((rline @ E) & ? [F:$i]: ((F = A) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (B = F)) & ? [F:$i]: ((rpoint @ F) & (C = F)) & (E = D) & (rR @ B @ A @ C) & (ron @ B @ D)) => (~ (rS @ A @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[145])). 25.97/9.05 thf(154,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((ron @ B @ F) & (rinside @ A @ F) & (ron @ C @ D) & (F = G) & (rcircle @ G) & (E = D) & (rline @ E) & ? [H:$i]: ((rpoint @ H) & (H = B)) & ? [H:$i]: ((rpoint @ H) & (A = H)) & ? [H:$i]: ((rpoint @ H) & (C = H)) & (ron @ A @ D) & (ron @ B @ D) & (ron @ C @ F) & (B != C)) => (rR @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))')). 25.97/9.05 thf(1138,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((ron @ B @ F) & (rinside @ A @ F) & (ron @ C @ D) & (F = G) & (rcircle @ G) & (E = D) & (rline @ E) & ? [H:$i]: ((rpoint @ H) & (H = B)) & ? [H:$i]: ((rpoint @ H) & (A = H)) & ? [H:$i]: ((rpoint @ H) & (C = H)) & (ron @ A @ D) & (ron @ B @ D) & (ron @ C @ F) & ~ (B = C)) => (rR @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[154])). 25.97/9.05 thf(28,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: ((~ (rS @ E @ G @ B)) <= ((rS @ E @ F @ C) & (rS @ F @ G @ A) & ? [H:$i]: ((G = H) & (rpoint @ H)) & ? [H:$i]: ((F = H) & (rpoint @ H)) & ? [H:$i]: ((H = C) & (rline @ H)) & ? [H:$i]: ((B = H) & (rline @ H)) & ? [H:$i]: ((rline @ H) & (A = H)) & ? [H:$i]: ((rpoint @ H) & (H = D)) & ? [H:$i]: ((rpoint @ H) & (E = H)) & (ron @ D @ A) & (ron @ D @ B) & (ron @ D @ C) & (ron @ E @ A) & (ron @ F @ C) & (ron @ G @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(113), 0), imp(cond(axiom(113), 0)))')). 25.97/9.05 thf(356,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (~ (rS @ E @ G @ B) | ~ ((rS @ E @ F @ C) & (rS @ F @ G @ A) & ? [H:$i]: ((G = H) & (rpoint @ H)) & ? [H:$i]: ((F = H) & (rpoint @ H)) & ? [H:$i]: ((H = C) & (rline @ H)) & ? [H:$i]: ((B = H) & (rline @ H)) & ? [H:$i]: ((rline @ H) & (A = H)) & ? [H:$i]: ((rpoint @ H) & (H = D)) & ? [H:$i]: ((rpoint @ H) & (E = H)) & (ron @ D @ A) & (ron @ D @ B) & (ron @ D @ C) & (ron @ E @ A) & (ron @ F @ C) & (ron @ G @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])). 25.97/9.05 thf(37,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((rS @ B @ A @ C) <= ((rS @ A @ B @ C) & (D = C) & ? [E:$i]: ((rpoint @ E) & (E = A)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & (rline @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))')). 25.97/9.05 thf(420,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((rS @ B @ A @ C) | ~ ((rS @ A @ B @ C) & (D = C) & ? [E:$i]: ((rpoint @ E) & (E = A)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & (rline @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[37])). 25.97/9.05 thf(117,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rR @ B @ A @ C) & ? [E:$i]: ((rpoint @ E) & (E = C)) & ? [E:$i]: ((rpoint @ E) & (B = E)) & ? [E:$i]: ((rpoint @ E) & (E = A)) & ? [E:$i]: ((E = D) & (rpoint @ E)) & (rR @ C @ B @ D)) => (rR @ B @ A @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))')). 25.97/9.05 thf(901,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rR @ B @ A @ C) & ? [E:$i]: ((rpoint @ E) & (E = C)) & ? [E:$i]: ((rpoint @ E) & (B = E)) & ? [E:$i]: ((rpoint @ E) & (E = A)) & ? [E:$i]: ((E = D) & (rpoint @ E)) & (rR @ C @ B @ D)) => (rR @ B @ A @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[117])). 25.97/9.05 thf(141,axiom,((rS @ vd1201 @ vd1187 @ vd1197)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)')). 25.97/9.05 thf(1075,plain,((rS @ vd1201 @ vd1187 @ vd1197)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[141])). 25.97/9.05 thf(71,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (ron @ B @ D) & (rinside @ A @ D) & (ron @ A @ C) & ? [E:$i]: ((E = D) & (rcircle @ E)) & ? [E:$i]: ((C = E) & (rcircle @ E)) & ? [E:$i]: ((E = A) & (rpoint @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ((rinside @ B @ C) | (ron @ B @ C)) & ~ (rinside @ B @ D)) => (rintersect @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(133), 0), imp(cond(axiom(133), 0)))')). 25.97/9.05 thf(637,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (ron @ B @ D) & (rinside @ A @ D) & (ron @ A @ C) & ? [E:$i]: ((E = D) & (rcircle @ E)) & ? [E:$i]: ((C = E) & (rcircle @ E)) & ? [E:$i]: ((E = A) & (rpoint @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ((rinside @ B @ C) | (ron @ B @ C)) & ~ (rinside @ B @ D)) => (rintersect @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[71])). 25.97/9.05 thf(69,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (ron @ C @ A) & (A = B) & (rline @ B) & (rpoint @ D) & (D = C)) => (? [E:$i]: ((rS @ E @ C @ A) & (rpoint @ E) & (E != C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(33), 0), imp(cond(axiom(33), 0)))')). 25.97/9.05 thf(622,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (ron @ C @ A) & (A = B) & (rline @ B) & (rpoint @ D) & (D = C)) => (? [E:$i]: ((rS @ E @ C @ A) & (rpoint @ E) & ~ (E = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[69])). 25.97/9.05 thf(103,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((? [G:$i]: ((rR @ D @ C @ G) & (rpoint @ G) & (E != G))) <= ((E = F) & (rR @ D @ C @ E) & (ron @ D @ A) & ? [G:$i]: ((rpoint @ G) & (D = G)) & ? [G:$i]: ((rpoint @ G) & (G = C)) & (A = B) & (rline @ B) & (ron @ C @ A) & (rpoint @ F))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(31), 0), imp(cond(axiom(31), 0)))')). 25.97/9.05 thf(837,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (? [G:$i]: ((rR @ D @ C @ G) & (rpoint @ G) & ~ (E = G)) | ~ ((E = F) & (rR @ D @ C @ E) & (ron @ D @ A) & ? [G:$i]: ((rpoint @ G) & (D = G)) & ? [G:$i]: ((rpoint @ G) & (G = C)) & (A = B) & (rline @ B) & (ron @ C @ A) & (rpoint @ F))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[103])). 25.97/9.05 thf(43,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((ron @ B @ D) & (ron @ A @ D) & (A != B) & (rline @ E) & ? [F:$i]: ((rpoint @ F) & (C = F)) & ? [F:$i]: ((B = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (F = A)) & (D = E)) => ((ron @ C @ D) <=> ((vg @ A @ B @ C) = v0))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))')). 25.97/9.05 thf(457,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((ron @ B @ D) & (ron @ A @ D) & ~ (A = B) & (rline @ E) & ? [F:$i]: ((rpoint @ F) & (C = F)) & ? [F:$i]: ((B = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (F = A)) & (D = E)) => (((ron @ C @ D) => ((vg @ A @ B @ C) = v0)) & (((vg @ A @ B @ C) = v0) => (ron @ C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])). 25.97/9.05 thf(129,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((~ (rR @ A @ C @ E) & (ron @ E @ G)) <=> (v0 = (vangle @ C @ A @ E))) <= ((F = E) & (rpoint @ F) & (D = C) & (rpoint @ D) & (B = A) & (rpoint @ B) & (rline @ H) & (H = G) & (C != A) & (E != A) & (ron @ A @ G) & (ron @ C @ G))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))')). 25.97/9.05 thf(984,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: ((((~ (rR @ A @ C @ E) & (ron @ E @ G)) => (v0 = (vangle @ C @ A @ E))) & ((v0 = (vangle @ C @ A @ E)) => (~ (rR @ A @ C @ E) & (ron @ E @ G)))) | ~ ((F = E) & (rpoint @ F) & (D = C) & (rpoint @ D) & (B = A) & (rpoint @ B) & (rline @ H) & (H = G) & ~ (C = A) & ~ (E = A) & (ron @ A @ G) & (ron @ C @ G))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[129])). 25.97/9.05 thf(133,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i,I:$i,J:$i,K:$i,L:$i,M:$i,N:$i,O:$i,P:$i,Q:$i,R:$i]: (((rline @ R) & ? [S:$i]: ((P = S) & (rpoint @ S)) & ? [S:$i]: ((rpoint @ S) & (O = S)) & ? [S:$i]: ((rpoint @ S) & (S = K)) & ? [S:$i]: ((J = S) & (rpoint @ S)) & ? [S:$i]: ((H = S) & (rpoint @ S)) & ? [S:$i]: ((rpoint @ S) & (S = F)) & ? [S:$i]: ((rpoint @ S) & (S = E)) & (A != B) & ? [S:$i]: ((rpoint @ S) & (A = S)) & ? [S:$i]: ((B = S) & (rpoint @ S)) & ? [S:$i]: ((C = S) & (rpoint @ S)) & (A != C) & (C != B) & ? [S:$i]: ((D = S) & (rpoint @ S)) & ? [S:$i]: ((G = S) & (rpoint @ S)) & ? [S:$i]: ((rpoint @ S) & (I = S)) & ? [S:$i]: ((rpoint @ S) & (L = S)) & ? [S:$i]: ((rpoint @ S) & (S = M)) & ? [S:$i]: ((S = N) & (rpoint @ S)) & (ron @ D @ Q) & (ron @ E @ Q) & ~ (ron @ F @ Q) & ! [S:$i,T:$i,U:$i]: (((rS @ U @ F @ Q) & ((vf @ A @ C) = (vf @ S @ U)) & ((vangle @ B @ A @ C) = (vangle @ T @ S @ U)) & (rpoint @ U) & (rpoint @ S) & (rpoint @ T) & (D = S) & ((vangle @ U @ T @ S) = (vangle @ C @ B @ A)) & ((vangle @ S @ U @ T) = (vangle @ A @ C @ B)) & ((vf @ A @ B) = (vf @ S @ T)) & ((vf @ B @ C) = (vf @ T @ U)) & (ron @ T @ Q) & ~ (rR @ D @ T @ E)) => (((vangle @ N @ O @ P) = (vangle @ K @ L @ M)) & ((vf @ G @ H) = (vf @ I @ J)))) & (Q = R)) => (((vf @ I @ J) = (vf @ G @ H)) & ((vangle @ N @ O @ P) = (vangle @ K @ L @ M)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(204), 0), imp(cond(axiom(204), 0)))')). 25.97/9.05 thf(1002,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i,I:$i,J:$i,K:$i,L:$i,M:$i,N:$i,O:$i,P:$i,Q:$i,R:$i]: (((rline @ R) & ? [S:$i]: ((P = S) & (rpoint @ S)) & ? [S:$i]: ((rpoint @ S) & (O = S)) & ? [S:$i]: ((rpoint @ S) & (S = K)) & ? [S:$i]: ((J = S) & (rpoint @ S)) & ? [S:$i]: ((H = S) & (rpoint @ S)) & ? [S:$i]: ((rpoint @ S) & (S = F)) & ? [S:$i]: ((rpoint @ S) & (S = E)) & ~ (A = B) & ? [S:$i]: ((rpoint @ S) & (A = S)) & ? [S:$i]: ((B = S) & (rpoint @ S)) & ? [S:$i]: ((C = S) & (rpoint @ S)) & ~ (A = C) & ~ (C = B) & ? [S:$i]: ((D = S) & (rpoint @ S)) & ? [S:$i]: ((G = S) & (rpoint @ S)) & ? [S:$i]: ((rpoint @ S) & (I = S)) & ? [S:$i]: ((rpoint @ S) & (L = S)) & ? [S:$i]: ((rpoint @ S) & (S = M)) & ? [S:$i]: ((S = N) & (rpoint @ S)) & (ron @ D @ Q) & (ron @ E @ Q) & ~ (ron @ F @ Q) & ! [S:$i,T:$i,U:$i]: (((rS @ U @ F @ Q) & ((vf @ A @ C) = (vf @ S @ U)) & ((vangle @ B @ A @ C) = (vangle @ T @ S @ U)) & (rpoint @ U) & (rpoint @ S) & (rpoint @ T) & (D = S) & ((vangle @ U @ T @ S) = (vangle @ C @ B @ A)) & ((vangle @ S @ U @ T) = (vangle @ A @ C @ B)) & ((vf @ A @ B) = (vf @ S @ T)) & ((vf @ B @ C) = (vf @ T @ U)) & (ron @ T @ Q) & ~ (rR @ D @ T @ E)) => (((vangle @ N @ O @ P) = (vangle @ K @ L @ M)) & ((vf @ G @ H) = (vf @ I @ J)))) & (Q = R)) => (((vf @ I @ J) = (vf @ G @ H)) & ((vangle @ N @ O @ P) = (vangle @ K @ L @ M)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[133])). 25.97/9.05 thf(26,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((E = F) & (rline @ F) & (rline @ D) & ? [G:$i]: ((B = G) & (rpoint @ G)) & ? [G:$i]: ((G = A) & (rpoint @ G)) & ~ (rS @ A @ B @ C) & (ron @ A @ E) & (ron @ B @ E) & (C = D)) => (rintersect @ C @ E)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(127), 0), imp(cond(axiom(127), 0)))')). 25.97/9.05 thf(343,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((E = F) & (rline @ F) & (rline @ D) & ? [G:$i]: ((B = G) & (rpoint @ G)) & ? [G:$i]: ((G = A) & (rpoint @ G)) & ~ (rS @ A @ B @ C) & (ron @ A @ E) & (ron @ B @ E) & (C = D)) => (rintersect @ C @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])). 25.97/9.05 thf(17,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((rcircle @ C) & (C = A)) & ? [C:$i]: ((C = B) & (rcircle @ C)) & (rintersect @ A @ B)) => (? [C:$i,D:$i]: ((D != C) & (ron @ D @ B) & (ron @ D @ A) & (rpoint @ D) & (ron @ C @ A) & (rpoint @ C) & (ron @ C @ B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))')). 25.97/9.05 thf(266,plain,((! [A:$i,B:$i]: ((? [C:$i]: ((rcircle @ C) & (C = A)) & ? [C:$i]: ((C = B) & (rcircle @ C)) & (rintersect @ A @ B)) => (? [C:$i,D:$i]: (~ (D = C) & (ron @ D @ B) & (ron @ D @ A) & (rpoint @ D) & (ron @ C @ A) & (rpoint @ C) & (ron @ C @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])). 25.97/9.05 thf(70,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((vf @ A @ (vskolem1120 @ A @ B @ C @ D @ E @ F @ G @ H)) = (vf @ E @ G)) <= ((G != E) & (G = H) & (rpoint @ D) & (rpoint @ B) & (A = B) & (C = D) & (rpoint @ F) & (F = E) & (rpoint @ H) & (C != A) & (rless @ (vf @ E @ G) @ (vf @ A @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)')). 25.97/9.05 thf(633,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((vf @ A @ (vskolem1120 @ A @ B @ C @ D @ E @ F @ G @ H)) = (vf @ E @ G)) | ~ (~ (G = E) & (G = H) & (rpoint @ D) & (rpoint @ B) & (A = B) & (C = D) & (rpoint @ F) & (F = E) & (rpoint @ H) & ~ (C = A) & (rless @ (vf @ E @ G) @ (vf @ A @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[70])). 25.97/9.05 thf(29,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((ron @ E @ C) & (rcenter @ F @ B) & (rcenter @ E @ A) & (rintersect @ A @ B) & (rline @ D) & ? [H:$i]: ((H = A) & (rcircle @ H)) & ? [H:$i]: ((rcircle @ H) & (H = B)) & (D = C) & (ron @ F @ C) & ~ (ron @ G @ C)) => (? [H:$i]: ((rpoint @ H) & (ron @ H @ A) & (ron @ H @ B) & (rS @ H @ G @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(69), 0), imp(cond(axiom(69), 0)))')). 25.97/9.05 thf(360,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((ron @ E @ C) & (rcenter @ F @ B) & (rcenter @ E @ A) & (rintersect @ A @ B) & (rline @ D) & ? [H:$i]: ((H = A) & (rcircle @ H)) & ? [H:$i]: ((rcircle @ H) & (H = B)) & (D = C) & (ron @ F @ C) & ~ (ron @ G @ C)) => (? [H:$i]: ((rpoint @ H) & (ron @ H @ A) & (ron @ H @ B) & (rS @ H @ G @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])). 25.97/9.05 thf(10,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((A = C) & (rpoint @ C))) => (? [C:$i]: ((C != B) & (A != C) & (rpoint @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(9), 0), imp(cond(axiom(9), 0)))')). 25.97/9.05 thf(205,plain,((! [A:$i,B:$i]: ((? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((A = C) & (rpoint @ C))) => (? [C:$i]: (~ (C = B) & ~ (A = C) & (rpoint @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 25.97/9.05 thf(138,axiom,((ron @ vd1187 @ vd1232)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)')). 25.97/9.05 thf(1071,plain,((ron @ vd1187 @ vd1232)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[138])). 25.97/9.05 thf(121,axiom,((ron @ vd1185 @ vd1234)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(294)), 0)')). 25.97/9.05 thf(953,plain,((ron @ vd1185 @ vd1234)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[121])). 25.97/9.05 thf(124,axiom,((ron @ vd1185 @ vd1197)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s3(plural(274)), 0)')). 25.97/9.05 thf(965,plain,((ron @ vd1185 @ vd1197)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[124])). 25.97/9.05 thf(68,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((D = C) & (rpoint @ D) & (rpoint @ B) & (B = A) & (A != C)) => ((vf @ (vskolem1052 @ A @ B @ C @ D) @ A) = (vf @ C @ (vskolem1052 @ A @ B @ C @ D)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 0)')). 25.97/9.05 thf(618,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((D = C) & (rpoint @ D) & (rpoint @ B) & (B = A) & ~ (A = C)) => ((vf @ (vskolem1052 @ A @ B @ C @ D) @ A) = (vf @ C @ (vskolem1052 @ A @ B @ C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[68])). 25.97/9.05 thf(38,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((ron @ C @ A) & (rpoint @ F) & (C = D) & (rline @ B) & (B = A) & (rpoint @ D) & (E = F) & (ron @ E @ A)) => (? [G:$i]: ((E != G) & (ron @ G @ A) & (rpoint @ G) & (C != G)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(19), 0), imp(cond(axiom(19), 0)))')). 25.97/9.05 thf(425,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((ron @ C @ A) & (rpoint @ F) & (C = D) & (rline @ B) & (B = A) & (rpoint @ D) & (E = F) & (ron @ E @ A)) => (? [G:$i]: (~ (E = G) & (ron @ G @ A) & (rpoint @ G) & ~ (C = G)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])). 25.97/9.05 thf(55,axiom,((! [A:$i,B:$i]: (((B = A) & (rreal @ B)) => (A = (vplus @ A @ v0))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))')). 25.97/9.05 thf(513,plain,((! [A:$i,B:$i]: (((B = A) & (rreal @ B)) => (A = (vplus @ A @ v0))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[55])). 25.97/9.05 thf(99,axiom,((ron @ vd1185 @ vd1197)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)')). 25.97/9.05 thf(824,plain,((ron @ vd1185 @ vd1197)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[99])). 25.97/9.05 thf(8,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((? [F:$i]: ((D != F) & (C != F) & (rpoint @ F) & (ron @ F @ A))) <= ((ron @ E @ A) & (ron @ C @ A) & ? [F:$i]: ((rpoint @ F) & (F = E)) & ? [F:$i]: ((D = F) & (rpoint @ F)) & (B = A) & (rline @ B) & ? [F:$i]: ((rpoint @ F) & (F = C)) & (ron @ D @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(21), 0), imp(cond(axiom(21), 0)))')). 25.97/9.05 thf(180,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (? [F:$i]: (~ (D = F) & ~ (C = F) & (rpoint @ F) & (ron @ F @ A)) | ~ ((ron @ E @ A) & (ron @ C @ A) & ? [F:$i]: ((rpoint @ F) & (F = E)) & ? [F:$i]: ((D = F) & (rpoint @ F)) & (B = A) & (rline @ B) & ? [F:$i]: ((rpoint @ F) & (F = C)) & (ron @ D @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 25.97/9.05 thf(41,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rreal @ D) & (rreal @ B) & (A = B) & (C = D)) => ((vplus @ A @ C) = (vplus @ C @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))')). 25.97/9.05 thf(444,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rreal @ D) & (rreal @ B) & (A = B) & (C = D)) => ((vplus @ A @ C) = (vplus @ C @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])). 25.97/9.05 thf(84,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((E != F) & ~ (ron @ D @ E) & (ron @ B @ E) & ? [G:$i]: ((G = F) & (rline @ G)) & ? [G:$i]: ((rpoint @ G) & (C = G)) & ? [G:$i]: ((B = G) & (rpoint @ G)) & ? [G:$i]: ((A = G) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (D = G)) & ? [G:$i]: ((G = E) & (rline @ G)) & (ron @ A @ E) & (ron @ A @ F) & (ron @ C @ F) & (B != A) & (C != A) & ~ (ron @ D @ F)) => (((vplus @ (vangle @ B @ A @ D) @ (vangle @ D @ A @ C)) = (vangle @ B @ A @ C)) <=> ((rS @ C @ D @ E) & (rS @ B @ D @ F)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))')). 25.97/9.05 thf(733,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((~ (E = F) & ~ (ron @ D @ E) & (ron @ B @ E) & ? [G:$i]: ((G = F) & (rline @ G)) & ? [G:$i]: ((rpoint @ G) & (C = G)) & ? [G:$i]: ((B = G) & (rpoint @ G)) & ? [G:$i]: ((A = G) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (D = G)) & ? [G:$i]: ((G = E) & (rline @ G)) & (ron @ A @ E) & (ron @ A @ F) & (ron @ C @ F) & ~ (B = A) & ~ (C = A) & ~ (ron @ D @ F)) => ((((vplus @ (vangle @ B @ A @ D) @ (vangle @ D @ A @ C)) = (vangle @ B @ A @ C)) => ((rS @ C @ D @ E) & (rS @ B @ D @ F))) & (((rS @ C @ D @ E) & (rS @ B @ D @ F)) => ((vplus @ (vangle @ B @ A @ D) @ (vangle @ D @ A @ C)) = (vangle @ B @ A @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[84])). 25.97/9.05 thf(7,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((C != A) & (rpoint @ D) & (rpoint @ B) & (B = A) & (D = C)) => (rpoint @ (vskolem1052 @ A @ B @ C @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 2)')). 25.97/9.05 thf(176,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (C = A) & (rpoint @ D) & (rpoint @ B) & (B = A) & (D = C)) => (rpoint @ (vskolem1052 @ A @ B @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 25.97/9.05 thf(85,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((ron @ B @ D) & (ron @ B @ C) & (ron @ A @ C) & (B != A) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((rline @ E) & (E = C)) & ? [E:$i]: ((rline @ E) & (E = D)) & (ron @ A @ D)) => (C = D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))')). 25.97/9.05 thf(743,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((ron @ B @ D) & (ron @ B @ C) & (ron @ A @ C) & ~ (B = A) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((rline @ E) & (E = C)) & ? [E:$i]: ((rline @ E) & (E = D)) & (ron @ A @ D)) => (C = D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[85])). 25.97/9.05 thf(82,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: ((? [H:$i]: (~ (rS @ H @ G @ C) & (rpoint @ H) & (ron @ H @ A) & (ron @ H @ B))) <= (~ (ron @ G @ C) & (ron @ F @ C) & (rintersect @ A @ B) & ? [H:$i]: ((B = H) & (rcircle @ H)) & ? [H:$i]: ((rcircle @ H) & (A = H)) & (rline @ D) & (C = D) & (rcenter @ E @ A) & (rcenter @ F @ B) & (ron @ E @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(71), 0), imp(cond(axiom(71), 0)))')). 25.97/9.05 thf(713,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (? [H:$i]: (~ (rS @ H @ G @ C) & (rpoint @ H) & (ron @ H @ A) & (ron @ H @ B)) | ~ (~ (ron @ G @ C) & (ron @ F @ C) & (rintersect @ A @ B) & ? [H:$i]: ((B = H) & (rcircle @ H)) & ? [H:$i]: ((rcircle @ H) & (A = H)) & (rline @ D) & (C = D) & (rcenter @ E @ A) & (rcenter @ F @ B) & (ron @ E @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[82])). 25.97/9.05 thf(116,axiom,((ron @ vd1201 @ vd1234)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(294)), 0)')). 25.97/9.05 thf(900,plain,((ron @ vd1201 @ vd1234)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[116])). 25.97/9.05 thf(6,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((D = C) <= ((B = A) & (rcircle @ B) & (rcenter @ C @ A) & (rcenter @ D @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(75), 0), imp(cond(axiom(75), 0)))')). 25.97/9.05 thf(172,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((D = C) | ~ ((B = A) & (rcircle @ B) & (rcenter @ C @ A) & (rcenter @ D @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 25.97/9.05 thf(54,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((C = A) & (rpoint @ C)) & ? [C:$i]: ((rpoint @ C) & (B = C))) => ((vg @ A @ A @ B) = v0)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))')). 25.97/9.05 thf(509,plain,((! [A:$i,B:$i]: ((? [C:$i]: ((C = A) & (rpoint @ C)) & ? [C:$i]: ((rpoint @ C) & (B = C))) => ((vg @ A @ A @ B) = v0)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[54])). 25.97/9.05 thf(108,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((ron @ B @ D) <= ((E = D) & (rR @ B @ A @ C) & (rline @ E) & ? [F:$i]: ((F = B) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((rpoint @ F) & (F = C)) & (ron @ A @ D) & (ron @ C @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))')). 25.97/9.05 thf(863,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((ron @ B @ D) | ~ ((E = D) & (rR @ B @ A @ C) & (rline @ E) & ? [F:$i]: ((F = B) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((rpoint @ F) & (F = C)) & (ron @ A @ D) & (ron @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[108])). 25.97/9.05 thf(95,axiom,((vd1200 = vd1186)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)')). 25.97/9.05 thf(811,plain,((vd1200 = vd1186)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[95])). 25.97/9.05 thf(66,axiom,((rpoint @ vd14)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(5), 0)')). 25.97/9.05 thf(594,plain,((rpoint @ vd14)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[66])). 25.97/9.05 thf(157,axiom,((ron @ vd1185 @ vd1232)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)')). 25.97/9.05 thf(1162,plain,((ron @ vd1185 @ vd1232)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[157])). 25.97/9.05 thf(83,axiom,((! [A:$i,B:$i,C:$i]: ((((vg @ A @ B @ C) = (vg @ C @ A @ B)) & ((vg @ A @ C @ B) = (vg @ A @ B @ C))) <= (? [D:$i]: ((D = C) & (rpoint @ D)) & ? [D:$i]: ((D = A) & (rpoint @ D)) & ? [D:$i]: ((B = D) & (rpoint @ D)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))')). 25.97/9.05 thf(726,plain,((! [A:$i,B:$i,C:$i]: ((((vg @ A @ B @ C) = (vg @ C @ A @ B)) & ((vg @ A @ C @ B) = (vg @ A @ B @ C))) | ~ (? [D:$i]: ((D = C) & (rpoint @ D)) & ? [D:$i]: ((D = A) & (rpoint @ D)) & ? [D:$i]: ((B = D) & (rpoint @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[83])). 25.97/9.05 thf(104,axiom,((~ (rR @ vd1186 @ vd1199 @ vd1185))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))')). 25.97/9.05 thf(848,plain,((~ (rR @ vd1186 @ vd1199 @ vd1185))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[104])). 25.97/9.05 thf(149,axiom,(((vd1199 != vd1185) => (~ (rR @ vd1199 @ vd1185 @ vd1186)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(271), 3), 2)')). 25.97/9.05 thf(1112,plain,(((~ (vd1199 = vd1185)) => (~ (rR @ vd1199 @ vd1185 @ vd1186)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[149])). 25.97/9.05 thf(101,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((~ (ron @ B @ D) & ~ (ron @ B @ D)) <= (((rinside @ A @ D) | (ron @ A @ D)) & (D = E) & ? [F:$i]: ((F = B) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((C = F) & (rpoint @ F)) & (rcircle @ E) & ~ (rinside @ C @ D) & (rR @ C @ A @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))')). 25.97/9.05 thf(827,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (ron @ B @ D) | ~ (((rinside @ A @ D) | (ron @ A @ D)) & (D = E) & ? [F:$i]: ((F = B) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((C = F) & (rpoint @ F)) & (rcircle @ E) & ~ (rinside @ C @ D) & (rR @ C @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[101])). 25.97/9.05 thf(109,axiom,(((vangle @ vd1180 @ vd1179 @ vd1178) = (vangle @ vd1201 @ vd1200 @ vd1199))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(plural(271)))), 1208, 0)')). 25.97/9.05 thf(868,plain,(((vangle @ vd1180 @ vd1179 @ vd1178) = (vangle @ vd1201 @ vd1200 @ vd1199))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[109])). 25.97/9.05 thf(114,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((rR @ D @ A @ C) <= ((rR @ D @ A @ B) & (rR @ B @ A @ C) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (B = E)) & ? [E:$i]: ((C = E) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (D = E)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))')). 25.97/9.05 thf(883,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((rR @ D @ A @ C) | ~ ((rR @ D @ A @ B) & (rR @ B @ A @ C) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (B = E)) & ? [E:$i]: ((C = E) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (D = E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[114])). 25.97/9.05 thf(12,axiom,((ron @ vd1199 @ vd1197)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(comma_conjunct2(plural(271)))), 0)')). 25.97/9.05 thf(223,plain,((ron @ vd1199 @ vd1197)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 25.97/9.05 thf(19,axiom,((ron @ vd1199 @ vd1197)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(274)), 0)')). 25.97/9.05 thf(306,plain,((ron @ vd1199 @ vd1197)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])). 25.97/9.05 thf(132,axiom,(((~ (rS @ vd1200 @ vd1187 @ vd1234)) <= (~ (ron @ vd1201 @ vd1232)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(271), 9), 1)')). 25.97/9.05 thf(1000,plain,((~ (rS @ vd1200 @ vd1187 @ vd1234) | (ron @ vd1201 @ vd1232))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[132])). 25.97/9.05 thf(142,axiom,(((vf @ vd1178 @ vd1180) = (vf @ vd1199 @ vd1201))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1211, 0)')). 25.97/9.05 thf(1076,plain,(((vf @ vd1178 @ vd1180) = (vf @ vd1199 @ vd1201))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[142])). 25.97/9.05 thf(65,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((D = C) & (A = B) & (rreal @ B) & (rreal @ D)) => ((rless @ A @ C) | (A = C) | (rless @ C @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))')). 25.97/9.05 thf(589,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((D = C) & (A = B) & (rreal @ B) & (rreal @ D)) => ((rless @ A @ C) | (A = C) | (rless @ C @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[65])). 25.97/9.05 thf(16,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((A = B) & (rline @ B) & (rpoint @ D) & (D = C) & (ron @ C @ A)) => (? [E:$i]: ((E != C) & (rpoint @ E) & (ron @ E @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(17), 0), imp(cond(axiom(17), 0)))')). 25.97/9.05 thf(255,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((A = B) & (rline @ B) & (rpoint @ D) & (D = C) & (ron @ C @ A)) => (? [E:$i]: (~ (E = C) & (rpoint @ E) & (ron @ E @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])). 25.97/9.05 thf(73,axiom,((? [A:$i]: ((vd1199 = A) & (rpoint @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(271)))')). 25.97/9.05 thf(648,plain,((? [A:$i]: ((vd1199 = A) & (rpoint @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[73])). 25.97/9.05 thf(49,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((D = E) <= (((vf @ C @ B) = (vf @ C @ A)) & (ron @ A @ D) & ? [F:$i]: ((B = F) & (rpoint @ F)) & ? [F:$i]: ((F = A) & (rpoint @ F)) & (rcenter @ C @ D) & (rcenter @ C @ E) & (ron @ B @ E))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))')). 25.97/9.05 thf(487,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((D = E) | ~ (((vf @ C @ B) = (vf @ C @ A)) & (ron @ A @ D) & ? [F:$i]: ((B = F) & (rpoint @ F)) & ? [F:$i]: ((F = A) & (rpoint @ F)) & (rcenter @ C @ D) & (rcenter @ C @ E) & (ron @ B @ E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[49])). 25.97/9.05 thf(9,axiom,((! [A:$i,B:$i]: (((B = A) & (rcircle @ B)) => (? [C:$i]: (~ (ron @ C @ A) & (rpoint @ C) & ~ (rinside @ C @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(49), 0), imp(cond(axiom(49), 0)))')). 25.97/9.05 thf(194,plain,((! [A:$i,B:$i]: (((B = A) & (rcircle @ B)) => (? [C:$i]: (~ (ron @ C @ A) & (rpoint @ C) & ~ (rinside @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 25.97/9.05 thf(107,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((F = E) & (C != B) & (C != A) & (B != A) & ? [G:$i]: ((G = D) & (rpoint @ G)) & ? [G:$i]: ((C = G) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (G = A)) & ? [G:$i]: ((B = G) & (rpoint @ G)) & (A != D) & (D != B) & (D != C) & (rline @ F) & ~ (ron @ D @ E)) => (((vplus @ (vg @ A @ C @ D) @ (vg @ D @ C @ B)) = (vg @ A @ D @ B)) <=> (rR @ C @ A @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))')). 25.97/9.05 thf(855,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((F = E) & ~ (C = B) & ~ (C = A) & ~ (B = A) & ? [G:$i]: ((G = D) & (rpoint @ G)) & ? [G:$i]: ((C = G) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (G = A)) & ? [G:$i]: ((B = G) & (rpoint @ G)) & ~ (A = D) & ~ (D = B) & ~ (D = C) & (rline @ F) & ~ (ron @ D @ E)) => ((((vplus @ (vg @ A @ C @ D) @ (vg @ D @ C @ B)) = (vg @ A @ D @ B)) => (rR @ C @ A @ B)) & ((rR @ C @ A @ B) => ((vplus @ (vg @ A @ C @ D) @ (vg @ D @ C @ B)) = (vg @ A @ D @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[107])). 25.97/9.05 thf(115,axiom,((! [A:$i,B:$i,C:$i]: (((C != A) & (rR @ B @ C @ A) & (A != B) & ~ (rR @ A @ B @ C)) <= ((rR @ B @ A @ C) & ? [D:$i]: ((A = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (B = D)) & ? [D:$i]: ((rpoint @ D) & (C = D)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))')). 25.97/9.05 thf(887,plain,((! [A:$i,B:$i,C:$i]: ((~ (C = A) & (rR @ B @ C @ A) & ~ (A = B) & ~ (rR @ A @ B @ C)) | ~ ((rR @ B @ A @ C) & ? [D:$i]: ((A = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (B = D)) & ? [D:$i]: ((rpoint @ D) & (C = D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[115])). 25.97/9.05 thf(122,axiom,((ron @ vd1201 @ vd1232)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(313, 0)')). 25.97/9.05 thf(954,plain,((ron @ vd1201 @ vd1232)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[122])). 25.97/9.05 thf(25,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rinside @ A @ C) & (rpoint @ B) & (A = B) & (rcircle @ D) & (C = D)) => (~ (ron @ A @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))')). 25.97/9.05 thf(338,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rinside @ A @ C) & (rpoint @ B) & (A = B) & (rcircle @ D) & (C = D)) => (~ (ron @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])). 25.97/9.05 thf(120,axiom,(((~ (ron @ vd1201 @ vd1232)) => (~ (rS @ vd1186 @ vd1201 @ vd1232)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(271), 9), 2)')). 25.97/9.05 thf(951,plain,(((~ (ron @ vd1201 @ vd1232)) => (~ (rS @ vd1186 @ vd1201 @ vd1232)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[120])). 25.97/9.05 thf(134,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((rR @ B @ A @ C) <= ((ron @ B @ D) & ~ (rS @ A @ C @ D) & (ron @ C @ E) & (ron @ A @ E) & (E != D) & ? [F:$i]: ((F = E) & (rline @ F)) & (A != B) & ? [F:$i]: ((F = A) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (B = F)) & ? [F:$i]: ((C = F) & (rpoint @ F)) & (C != A) & (B != C) & ? [F:$i]: ((F = D) & (rline @ F)) & (ron @ B @ E))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(111), 0), imp(cond(axiom(111), 0)))')). 25.97/9.05 thf(1052,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((rR @ B @ A @ C) | ~ ((ron @ B @ D) & ~ (rS @ A @ C @ D) & (ron @ C @ E) & (ron @ A @ E) & ~ (E = D) & ? [F:$i]: ((F = E) & (rline @ F)) & ~ (A = B) & ? [F:$i]: ((F = A) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (B = F)) & ? [F:$i]: ((C = F) & (rpoint @ F)) & ~ (C = A) & ~ (B = C) & ? [F:$i]: ((F = D) & (rline @ F)) & (ron @ B @ E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[134])). 25.97/9.05 thf(67,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((? [E:$i,F:$i]: ((E != F) & (rpoint @ F) & (ron @ E @ A) & (rpoint @ E) & (ron @ E @ C) & (ron @ F @ C) & (ron @ F @ A))) <= ((C = D) & (rcircle @ B) & (A = B) & (rline @ D) & (rintersect @ C @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(59), 0), imp(cond(axiom(59), 0)))')). 25.97/9.05 thf(595,plain,((! [A:$i,B:$i,C:$i,D:$i]: (? [E:$i,F:$i]: (~ (E = F) & (rpoint @ F) & (ron @ E @ A) & (rpoint @ E) & (ron @ E @ C) & (ron @ F @ C) & (ron @ F @ A)) | ~ ((C = D) & (rcircle @ B) & (A = B) & (rline @ D) & (rintersect @ C @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[67])). 25.97/9.05 thf(44,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((rpoint @ C) & (C = A))) => (? [C:$i]: ((C = (vf @ A @ B)) & (rreal @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))')). 25.97/9.05 thf(465,plain,((! [A:$i,B:$i]: ((? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((rpoint @ C) & (C = A))) => (? [C:$i]: ((C = (vf @ A @ B)) & (rreal @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[44])). 25.97/9.05 thf(64,axiom,((ron @ vd1186 @ vd1197)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)')). 25.97/9.05 thf(588,plain,((ron @ vd1186 @ vd1197)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[64])). 25.97/9.05 thf(96,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rS @ A @ B @ C) & (C = D) & (rline @ D) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E))) => (~ (ron @ A @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))')). 25.97/9.05 thf(813,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rS @ A @ B @ C) & (C = D) & (rline @ D) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E))) => (~ (ron @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[96])). 25.97/9.05 thf(136,axiom,((~ (rR @ vd1185 @ vd1201 @ vd1187))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(319))')). 25.97/9.05 thf(1062,plain,((~ (rR @ vd1185 @ vd1201 @ vd1187))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[136])). 25.97/9.05 thf(146,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (rR @ B @ C @ D)) <= (? [E:$i]: ((E = C) & (rpoint @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (A = E)) & ? [E:$i]: ((rpoint @ E) & (E = D)) & (rR @ B @ A @ C) & (rR @ B @ A @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))')). 25.97/9.05 thf(1101,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (rR @ B @ C @ D) | ~ (? [E:$i]: ((E = C) & (rpoint @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (A = E)) & ? [E:$i]: ((rpoint @ E) & (E = D)) & (rR @ B @ A @ C) & (rR @ B @ A @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[146])). 25.97/9.05 thf(74,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rless @ (vf @ C @ A) @ (vf @ C @ B)) <=> (rinside @ A @ D)) <= ((ron @ B @ D) & (rcenter @ C @ D) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))')). 25.97/9.05 thf(652,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((((rless @ (vf @ C @ A) @ (vf @ C @ B)) => (rinside @ A @ D)) & ((rinside @ A @ D) => (rless @ (vf @ C @ A) @ (vf @ C @ B)))) | ~ ((ron @ B @ D) & (rcenter @ C @ D) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[74])). 25.97/9.05 thf(130,axiom,((! [A:$i,B:$i,C:$i]: (((vf @ A @ C) = (vplus @ (vf @ A @ B) @ (vf @ B @ C))) <= ((rR @ B @ A @ C) & ? [D:$i]: ((rpoint @ D) & (D = A)) & ? [D:$i]: ((rpoint @ D) & (D = B)) & ? [D:$i]: ((C = D) & (rpoint @ D)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))')). 25.97/9.05 thf(995,plain,((! [A:$i,B:$i,C:$i]: (((vf @ A @ C) = (vplus @ (vf @ A @ B) @ (vf @ B @ C))) | ~ ((rR @ B @ A @ C) & ? [D:$i]: ((rpoint @ D) & (D = A)) & ? [D:$i]: ((rpoint @ D) & (D = B)) & ? [D:$i]: ((C = D) & (rpoint @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[130])). 25.97/9.05 thf(31,axiom,((rline @ vd1232)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(293, 0)')). 25.97/9.05 thf(378,plain,((rline @ vd1232)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])). 25.97/9.05 thf(76,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((D = C) & (A = B) & (rcircle @ B) & (rcircle @ D) & (rintersect @ A @ C)) => (? [E:$i]: ((ron @ E @ C) & (ron @ E @ A) & (rpoint @ E)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(65), 0), imp(cond(axiom(65), 0)))')). 25.97/9.05 thf(667,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((D = C) & (A = B) & (rcircle @ B) & (rcircle @ D) & (rintersect @ A @ C)) => (? [E:$i]: ((ron @ E @ C) & (ron @ E @ A) & (rpoint @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[76])). 25.97/9.05 thf(90,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((D = C) & (E = F) & (rS @ E @ C @ A) & (rpoint @ F) & (B = A) & (rline @ B) & (rpoint @ D) & ~ (ron @ C @ A)) => (? [G:$i]: ((G != C) & (rS @ G @ C @ A) & (rpoint @ G) & (G != E)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(35), 0), imp(cond(axiom(35), 0)))')). 25.97/9.05 thf(763,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((D = C) & (E = F) & (rS @ E @ C @ A) & (rpoint @ F) & (B = A) & (rline @ B) & (rpoint @ D) & ~ (ron @ C @ A)) => (? [G:$i]: (~ (G = C) & (rS @ G @ C @ A) & (rpoint @ G) & ~ (G = E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[90])). 25.97/9.05 thf(59,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((((vtriangle @ A @ B @ C) = D) & (rtriangle @ D)) => ((B != C) & (A != C) & ? [E:$i]: ((rpoint @ E) & (C = E)) & ? [E:$i]: ((rpoint @ E) & (E = B)) & ? [E:$i]: ((rpoint @ E) & (A = E)) & (A != B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(3), 0), imp(cond(axiom(3), 0)))')). 25.97/9.05 thf(536,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((((vtriangle @ A @ B @ C) = D) & (rtriangle @ D)) => (~ (B = C) & ~ (A = C) & ? [E:$i]: ((rpoint @ E) & (C = E)) & ? [E:$i]: ((rpoint @ E) & (E = B)) & ? [E:$i]: ((rpoint @ E) & (A = E)) & ~ (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[59])). 25.97/9.05 thf(131,axiom,((ron @ vd1187 @ vd1232)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s3(plural(315)), 0)')). 25.97/9.05 thf(999,plain,((ron @ vd1187 @ vd1232)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[131])). 25.97/9.05 thf(5,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((rS @ G @ H @ B) & (rS @ E @ F @ C) & (ron @ G @ C) & (ron @ F @ B) & (ron @ E @ A) & (ron @ D @ A) & ? [I:$i]: ((I = E) & (rpoint @ I)) & ? [I:$i]: ((A = I) & (rline @ I)) & ? [I:$i]: ((rline @ I) & (B = I)) & ? [I:$i]: ((rline @ I) & (I = C)) & ? [I:$i]: ((rpoint @ I) & (I = D)) & ? [I:$i]: ((F = I) & (rpoint @ I)) & ? [I:$i]: ((rpoint @ I) & (I = G)) & (ron @ D @ B) & (ron @ D @ C) & (rS @ F @ G @ A) & (rS @ F @ H @ C)) => (rS @ F @ H @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(117), 0), imp(cond(axiom(117), 0)))')). 25.97/9.05 thf(168,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((rS @ G @ H @ B) & (rS @ E @ F @ C) & (ron @ G @ C) & (ron @ F @ B) & (ron @ E @ A) & (ron @ D @ A) & ? [I:$i]: ((I = E) & (rpoint @ I)) & ? [I:$i]: ((A = I) & (rline @ I)) & ? [I:$i]: ((rline @ I) & (B = I)) & ? [I:$i]: ((rline @ I) & (I = C)) & ? [I:$i]: ((rpoint @ I) & (I = D)) & ? [I:$i]: ((F = I) & (rpoint @ I)) & ? [I:$i]: ((rpoint @ I) & (I = G)) & (ron @ D @ B) & (ron @ D @ C) & (rS @ F @ G @ A) & (rS @ F @ H @ C)) => (rS @ F @ H @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 25.97/9.05 thf(102,axiom,(((vangle @ vd1200 @ vd1199 @ vd1201) = (vangle @ vd1186 @ vd1185 @ vd1187))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(292, 1231, 0)')). 25.97/9.05 thf(835,plain,(((vangle @ vd1200 @ vd1199 @ vd1201) = (vangle @ vd1186 @ vd1185 @ vd1187))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[102])). 25.97/9.05 thf(97,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((rpoint @ F) & (D = C) & (rpoint @ B) & (B = A) & (rpoint @ D) & (F = E) & (rpoint @ H) & (G = H) & (C != A) & (G != E) & (rless @ (vf @ E @ G) @ (vf @ A @ C))) => (rR @ (vskolem1120 @ A @ B @ C @ D @ E @ F @ G @ H) @ A @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)')). 25.97/9.05 thf(818,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((rpoint @ F) & (D = C) & (rpoint @ B) & (B = A) & (rpoint @ D) & (F = E) & (rpoint @ H) & (G = H) & ~ (C = A) & ~ (G = E) & (rless @ (vf @ E @ G) @ (vf @ A @ C))) => (rR @ (vskolem1120 @ A @ B @ C @ D @ E @ F @ G @ H) @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[97])). 25.97/9.05 thf(156,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: ((~ (ron @ G @ A) & ~ (rinside @ G @ A) & (ron @ E @ C) & (rpoint @ F) & (C = D) & (rline @ D) & (B = A) & (rcircle @ B) & (F = E) & (rinside @ E @ A) & (rpoint @ H) & (G = H) & (ron @ G @ C)) => (? [I:$i]: ((ron @ I @ C) & (rpoint @ I) & (ron @ I @ A) & (rR @ I @ E @ G)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))')). 25.97/9.05 thf(1148,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: ((~ (ron @ G @ A) & ~ (rinside @ G @ A) & (ron @ E @ C) & (rpoint @ F) & (C = D) & (rline @ D) & (B = A) & (rcircle @ B) & (F = E) & (rinside @ E @ A) & (rpoint @ H) & (G = H) & (ron @ G @ C)) => (? [I:$i]: ((ron @ I @ C) & (rpoint @ I) & (ron @ I @ A) & (rR @ I @ E @ G)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[156])). 25.97/9.05 thf(30,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((C = A) <= (((vplus @ C @ E) = (vplus @ A @ E)) & (F = E) & (rreal @ F) & (rreal @ D) & (rreal @ B) & (B = A) & (C = D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(156, 0), 0)')). 25.97/9.05 thf(373,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((C = A) | ~ (((vplus @ C @ E) = (vplus @ A @ E)) & (F = E) & (rreal @ F) & (rreal @ D) & (rreal @ B) & (B = A) & (C = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])). 25.97/9.05 thf(159,axiom,((ron @ vd1185 @ vd1232)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(315)), 0)')). 25.97/9.05 thf(1165,plain,((ron @ vd1185 @ vd1232)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[159])). 25.97/9.05 thf(123,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((rR @ E @ C @ D) & ? [F:$i]: ((rpoint @ F) & (F = D)) & ? [F:$i]: ((C = F) & (rpoint @ F)) & (rline @ B) & (B = A) & ? [F:$i]: ((rpoint @ F) & (E = F)) & (ron @ C @ A) & (ron @ D @ A)) => (? [F:$i]: ((F != E) & (rpoint @ F) & (rR @ F @ C @ D)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(25), 0), imp(cond(axiom(25), 0)))')). 25.97/9.05 thf(955,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((rR @ E @ C @ D) & ? [F:$i]: ((rpoint @ F) & (F = D)) & ? [F:$i]: ((C = F) & (rpoint @ F)) & (rline @ B) & (B = A) & ? [F:$i]: ((rpoint @ F) & (E = F)) & (ron @ C @ A) & (ron @ D @ A)) => (? [F:$i]: (~ (F = E) & (rpoint @ F) & (rR @ F @ C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[123])). 25.97/9.05 thf(36,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((rS @ A @ A @ C) <= ((C = D) & (rpoint @ B) & (A = B) & (rline @ D) & ~ (ron @ A @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(95), 0), imp(cond(axiom(95), 0)))')). 25.97/9.05 thf(415,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((rS @ A @ A @ C) | ~ ((C = D) & (rpoint @ B) & (A = B) & (rline @ D) & ~ (ron @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])). 25.97/9.05 thf(151,axiom,((vd1187 != vd1201)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(320, 1251, 0)')). 25.97/9.05 thf(1129,plain,((~ (vd1187 = vd1201))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[151])). 25.97/9.05 thf(58,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((D = C) & (A = B) & (rreal @ B) & (rreal @ D)) => (? [E:$i]: ((rreal @ E) & ((vplus @ A @ C) = E)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))')). 25.97/9.05 thf(528,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((D = C) & (A = B) & (rreal @ B) & (rreal @ D)) => (? [E:$i]: ((rreal @ E) & ((vplus @ A @ C) = E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[58])). 25.97/9.05 thf(72,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((ron @ B @ D) & (rinside @ B @ C) & ? [E:$i]: ((rpoint @ E) & (E = A)) & ? [E:$i]: ((rpoint @ E) & (E = B)) & (ron @ A @ C) & (rinside @ A @ D)) => (rintersect @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))')). 25.97/9.05 thf(644,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((ron @ B @ D) & (rinside @ B @ C) & ? [E:$i]: ((rpoint @ E) & (E = A)) & ? [E:$i]: ((rpoint @ E) & (E = B)) & (ron @ A @ C) & (rinside @ A @ D)) => (rintersect @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[72])). 25.97/9.05 thf(98,axiom,(((vf @ vd1200 @ vd1201) = (vf @ vd1179 @ vd1180))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1210, 0)')). 25.97/9.05 thf(822,plain,(((vf @ vd1200 @ vd1201) = (vf @ vd1179 @ vd1180))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[98])). 25.97/9.05 thf(3,axiom,((rreal @ vd684)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 1)')). 25.97/9.05 thf(163,plain,((rreal @ vd684)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 25.97/9.05 thf(105,axiom,(((~ (ron @ vd1201 @ vd1232)) => ((rS @ vd1200 @ vd1187 @ vd1234) | (rS @ vd1186 @ vd1201 @ vd1232)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(271), 9), 0)')). 25.97/9.05 thf(850,plain,(((~ (ron @ vd1201 @ vd1232)) => ((rS @ vd1200 @ vd1187 @ vd1234) | (rS @ vd1186 @ vd1201 @ vd1232)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[105])). 25.97/9.05 thf(128,axiom,(((vf @ vd1185 @ vd1187) = (vf @ vd1199 @ vd1201))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(314, 1247, 0)')). 25.97/9.05 thf(982,plain,(((vf @ vd1185 @ vd1187) = (vf @ vd1199 @ vd1201))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[128])). 25.97/9.05 thf(80,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((? [E:$i]: ((ron @ E @ A) & (rpoint @ E) & (C != E))) <= ((C = D) & (B = A) & (rcircle @ B) & (rpoint @ D) & (ron @ C @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(43), 0), imp(cond(axiom(43), 0)))')). 25.97/9.05 thf(691,plain,((! [A:$i,B:$i,C:$i,D:$i]: (? [E:$i]: ((ron @ E @ A) & (rpoint @ E) & ~ (C = E)) | ~ ((C = D) & (B = A) & (rcircle @ B) & (rpoint @ D) & (ron @ C @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[80])). 25.97/9.05 thf(48,axiom,((ron @ vd1200 @ vd1197)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(274)), 0)')). 25.97/9.05 thf(486,plain,((ron @ vd1200 @ vd1197)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])). 25.97/9.05 thf(21,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((? [E:$i]: (~ (rS @ E @ C @ A) & (rpoint @ E))) <= ((C = D) & (rline @ B) & (B = A) & (rpoint @ D) & ~ (ron @ C @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(39), 0), imp(cond(axiom(39), 0)))')). 25.97/9.05 thf(309,plain,((! [A:$i,B:$i,C:$i,D:$i]: (? [E:$i]: (~ (rS @ E @ C @ A) & (rpoint @ E)) | ~ ((C = D) & (rline @ B) & (B = A) & (rpoint @ D) & ~ (ron @ C @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])). 25.97/9.05 thf(75,axiom,((! [A:$i,B:$i]: (((A = B) & (rcircle @ B)) => (? [C:$i]: ((ron @ C @ A) & (rpoint @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(41), 0), imp(cond(axiom(41), 0)))')). 25.97/9.05 thf(659,plain,((! [A:$i,B:$i]: (((A = B) & (rcircle @ B)) => (? [C:$i]: ((ron @ C @ A) & (rpoint @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[75])). 25.97/9.05 thf(11,axiom,((! [A:$i,B:$i]: (((rcircle @ B) & (B = A)) => (? [C:$i]: ((rinside @ C @ A) & (rpoint @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(47), 0), imp(cond(axiom(47), 0)))')). 25.97/9.05 thf(215,plain,((! [A:$i,B:$i]: (((rcircle @ B) & (B = A)) => (? [C:$i]: ((rinside @ C @ A) & (rpoint @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 25.97/9.05 thf(50,axiom,((rline @ vd1197)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(269, 0)')). 25.97/9.05 thf(491,plain,((rline @ vd1197)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])). 25.97/9.05 thf(2274,plain,($false),inference(e,[status(thm)],[479,1105,518,777,1110,481,523,683,873,449,379,878,440,1078,500,472,747,404,973,565,570,504,702,751,1132,870,881,1115,325,289,492,164,756,321,1136,238,937,348,574,806,966,905,397,1072,307,1074,248,439,678,793,761,798,1057,1163,1091,825,160,392,852,682,974,224,578,1143,317,1064,1096,1138,356,420,901,1075,637,622,837,457,984,1002,343,266,633,360,205,1071,953,965,618,425,513,824,180,444,733,176,743,713,900,172,509,863,811,594,1162,726,848,1112,827,868,883,223,306,1000,1076,589,255,648,487,194,855,887,954,338,951,1052,595,465,588,813,1062,1101,652,995,378,667,763,536,999,168,835,818,1148,373,1165,955,415,1129,528,644,822,163,850,982,691,486,309,659,215,491])). 25.97/9.05 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 25.97/9.05 % [INFO] Killing All external provers ... 26.10/9.17 EOF