0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -Xss128m -Xmx4g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar %s -t %d -p --atp cvc4=/export/starexec/sandbox2/solver/bin/externals/cvc4 --atp e=/export/starexec/sandbox2/solver/bin/externals/eprover --atp iprover=/export/starexec/sandbox2/solver/bin/externals/iprover 0.03/0.23 % Computer : n124.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 04:38:55 CDT 2018 0.03/0.23 % CPUTime : 3.59/1.80 % [INFO] Running in sequential loop mode. 4.20/2.03 % [CONFIG] Using configuration: timeout(300) with strategy 4.58/2.13 % [INFO] iprover registered as external prover. 4.58/2.13 % [INFO] e registered as external prover. 4.58/2.13 % [INFO] cvc4 registered as external prover. 4.58/2.14 % [INFO] Parsing finished. Scanning for conjecture ... 4.58/2.20 % [INFO] Found a conjecture and 125 axioms. Running axiom selection ... 5.23/2.30 % [INFO] Axiom selection finished. Selected 125 axioms (removed 0 axioms). 6.06/2.67 % [INFO] Type checking passed. Searching for refutation ... 17.84/6.73 % [INFO] Killing All external provers ... 17.84/6.73 % Time passed: 6397ms 17.84/6.73 % Effective reasoning time: 4921ms 17.84/6.73 % Solved by strategy 17.84/6.73 % Axioms used in derivation (125): qu(cond(axiom(41), 0), imp(cond(axiom(41), 0))), ass(cond(proof(385), 0), 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))), qu(cond(axiom(164), 0), imp(cond(axiom(164), 0))), qu(cond(axiom(202), 0), imp(cond(axiom(202), 0))), pred(383, 8), 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))), ass(cond(goal(264), 0), 2), qe(s3(plural(383))), qu(cond(axiom(133), 0), imp(cond(axiom(133), 0))), qu(cond(axiom(21), 0), imp(cond(axiom(21), 0))), qu(cond(axiom(151), 0), imp(cond(axiom(151), 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))), qu(cond(axiom(190), 0), imp(cond(axiom(190), 0))), qu(cond(axiom(53), 0), imp(cond(axiom(53), 0))), qu(cond(axiom(89), 0), imp(cond(axiom(89), 0))), ass(cond(goal(264), 0), 1), ass(cond(goal(340), 0), 0), qu(cond(axiom(107), 0), imp(cond(axiom(107), 0))), ass(cond(proof(385), 0), 1), 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))), 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))), ass(cond(goal(340), 0), 1), qu(cond(axiom(59), 0), imp(cond(axiom(59), 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))), qu(cond(axiom(109), 0), imp(cond(axiom(109), 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))), pred(383, 7), ass(cond(156, 0), 0), qu(cond(axiom(184), 0), imp(cond(axiom(184), 0))), holds(383, 1356, 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))), 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))), qu(cond(axiom(174), 0), imp(cond(axiom(174), 0))), qu(cond(axiom(61), 0), imp(cond(axiom(61), 0))), qu(cond(axiom(9), 0), imp(cond(axiom(9), 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))), qu(cond(axiom(123), 0), imp(cond(axiom(123), 0))), qu(cond(axiom(25), 0), imp(cond(axiom(25), 0))), qe(s2(plural(383))), 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))), ass(cond(goal(264), 0), 0), qu(cond(axiom(63), 0), imp(cond(axiom(63), 0))), qu(cond(axiom(192), 0), imp(cond(axiom(192), 0))), ass(cond(goal(219), 0), 0), pred(axiom(137), 1), ass(cond(proof(385), 0), 2), 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))), qu(cond(axiom(73), 0), imp(cond(axiom(73), 0))), pred(383, 9), qu(cond(axiom(15), 0), imp(cond(axiom(15), 0))), qu(cond(axiom(85), 0), imp(cond(axiom(85), 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))), 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))), 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))), qe(s1(plural(383))), 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))), 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))), qu(cond(axiom(198), 0), imp(cond(axiom(198), 0))) 17.84/6.73 % No. of inferences in proof: 254 17.84/6.73 % No. of processed clauses: 1 17.84/6.73 % No. of generated clauses: 0 17.84/6.73 % No. of forward subsumed clauses: 0 17.84/6.73 % No. of backward subsumed clauses: 0 17.84/6.73 % No. of ground rewrite rules in store: 1 17.84/6.73 % No. of non-ground rewrite rules in store: 0 17.84/6.73 % No. of positive (non-rewrite) units in store: 0 17.84/6.73 % No. of negative (non-rewrite) units in store: 0 17.84/6.74 % No. of choice functions detected: 0 17.84/6.74 % No. of choice instantiations: 0 17.84/6.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6397 ms resp. 4921 ms w/o parsing 18.05/6.97 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 18.05/6.97 thf(vd1352_type, type, vd1352: $i). 18.05/6.97 thf(vd1353_type, type, vd1353: $i). 18.05/6.97 thf(vf_type, type, vf: ($i > ($i > $i))). 18.05/6.97 thf(vd1354_type, type, vd1354: $i). 18.05/6.97 thf(ron_type, type, ron: ($i > ($i > $o))). 18.05/6.97 thf(rpoint_type, type, rpoint: ($i > $o)). 18.05/6.97 thf(rintersect_type, type, rintersect: ($i > ($i > $o))). 18.05/6.97 thf(rcircle_type, type, rcircle: ($i > $o)). 18.05/6.97 thf(rline_type, type, rline: ($i > $o)). 18.05/6.97 thf(rless_type, type, rless: ($i > ($i > $o))). 18.05/6.97 thf(rreal_type, type, rreal: ($i > $o)). 18.05/6.97 thf(rcenter_type, type, rcenter: ($i > ($i > $o))). 18.05/6.97 thf(rS_type, type, rS: ($i > ($i > ($i > $o)))). 18.05/6.97 thf(vg_type, type, vg: ($i > ($i > ($i > $i)))). 18.05/6.97 thf(v0_type, type, v0: $i). 18.05/6.97 thf(rgeq_type, type, rgeq: ($i > ($i > $o))). 18.05/6.97 thf(vd684_type, type, vd684: $i). 18.05/6.97 thf(vangle_type, type, vangle: ($i > ($i > ($i > $i)))). 18.05/6.97 thf(rleq_type, type, rleq: ($i > ($i > $o))). 18.05/6.97 thf(vperp_type, type, vperp: $i). 18.05/6.97 thf(vplus_type, type, vplus: ($i > ($i > $i))). 18.05/6.97 thf(rR_type, type, rR: ($i > ($i > ($i > $o)))). 18.05/6.97 thf(vskolem1078_type, type, vskolem1078: ($i > ($i > ($i > ($i > $i))))). 18.05/6.97 thf(rinside_type, type, rinside: ($i > ($i > $o))). 18.05/6.97 thf(vskolem1052_type, type, vskolem1052: ($i > ($i > ($i > ($i > $i))))). 18.05/6.97 thf(vd14_type, type, vd14: $i). 18.05/6.97 thf(vtriangle_type, type, vtriangle: ($i > ($i > ($i > $i)))). 18.05/6.97 thf(rtriangle_type, type, rtriangle: ($i > $o)). 18.05/6.97 thf(vskolem1120_type, type, vskolem1120: ($i > ($i > ($i > ($i > ($i > ($i > ($i > ($i > $i))))))))). 18.05/6.97 thf(121,axiom,((! [A:$i,B:$i,C:$i]: ((! [D:$i,E:$i,F:$i,G:$i]: (((E = D) & (rpoint @ E) & (rR @ B @ A @ D) & (rpoint @ G) & (rR @ C @ A @ F) & (G = F)) => ((vangle @ B @ C @ F) = (vangle @ C @ B @ D)))) <= ((A != C) & (B != A) & ? [D:$i]: ((rpoint @ D) & (B = D)) & ? [D:$i]: ((rpoint @ D) & (A = D)) & ? [D:$i]: ((D = C) & (rpoint @ D)) & (B != C) & ((vf @ A @ B) = (vf @ A @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(340), 0), 0)')). 18.05/6.97 thf(1024,plain,((! [A:$i,B:$i,C:$i]: (! [D:$i,E:$i,F:$i,G:$i]: (((E = D) & (rpoint @ E) & (rR @ B @ A @ D) & (rpoint @ G) & (rR @ C @ A @ F) & (G = F)) => ((vangle @ B @ C @ F) = (vangle @ C @ B @ D))) | ~ (~ (A = C) & ~ (B = A) & ? [D:$i]: ((rpoint @ D) & (B = D)) & ? [D:$i]: ((rpoint @ D) & (A = D)) & ? [D:$i]: ((D = C) & (rpoint @ D)) & ~ (B = C) & ((vf @ A @ B) = (vf @ A @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[121])). 18.05/6.97 thf(93,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((? [E:$i]: ((D != E) & (E != C) & (rpoint @ E) & (A != E) & (E != B))) <= (? [E:$i]: ((rpoint @ E) & (E = D)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((E = C) & (rpoint @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(13), 0), imp(cond(axiom(13), 0)))')). 18.05/6.97 thf(846,plain,((! [A:$i,B:$i,C:$i,D:$i]: (? [E:$i]: (~ (D = E) & ~ (E = C) & (rpoint @ E) & ~ (A = E) & ~ (E = B)) | ~ (? [E:$i]: ((rpoint @ E) & (E = D)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((E = C) & (rpoint @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[93])). 18.05/6.97 thf(54,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((rS @ B @ A @ C) <= ((C = D) & (rline @ D) & ? [E:$i]: ((rpoint @ E) & (E = B)) & ? [E:$i]: ((E = A) & (rpoint @ E)) & (rS @ A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))')). 18.05/6.97 thf(555,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((rS @ B @ A @ C) | ~ ((C = D) & (rline @ D) & ? [E:$i]: ((rpoint @ E) & (E = B)) & ? [E:$i]: ((E = A) & (rpoint @ E)) & (rS @ A @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[54])). 18.05/6.97 thf(19,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (ron @ C @ A) & (rpoint @ D) & (A = B) & (rline @ B) & (C = D)) => (? [E:$i]: ((rpoint @ E) & ~ (rS @ E @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(39), 0), imp(cond(axiom(39), 0)))')). 18.05/6.97 thf(276,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (ron @ C @ A) & (rpoint @ D) & (A = B) & (rline @ B) & (C = D)) => (? [E:$i]: ((rpoint @ E) & ~ (rS @ E @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])). 18.05/6.97 thf(98,axiom,(((vangle @ vd1352 @ vd1353 @ vd1354) = (vangle @ vd1352 @ vd1354 @ vd1353))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(383, 1356, 0)')). 18.05/6.97 thf(898,plain,(((vangle @ vd1352 @ vd1353 @ vd1354) = (vangle @ vd1352 @ vd1354 @ vd1353))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[98])). 18.05/6.97 thf(87,axiom,((! [A:$i,B:$i,C:$i]: ((? [D:$i]: (((vg @ A @ B @ C) = D) & (rreal @ D))) <= (? [D:$i]: ((rpoint @ D) & (C = D)) & ? [D:$i]: ((D = A) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (D = B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(198), 0), imp(cond(axiom(198), 0)))')). 18.05/6.97 thf(782,plain,((! [A:$i,B:$i,C:$i]: (? [D:$i]: (((vg @ A @ B @ C) = D) & (rreal @ D)) | ~ (? [D:$i]: ((rpoint @ D) & (C = D)) & ? [D:$i]: ((D = A) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (D = B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[87])). 18.05/6.97 thf(48,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((rpoint @ (vskolem1052 @ A @ B @ C @ D)) <= ((C = D) & (A != C) & (B = A) & (rpoint @ B) & (rpoint @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 2)')). 18.05/6.97 thf(504,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((rpoint @ (vskolem1052 @ A @ B @ C @ D)) | ~ ((C = D) & ~ (A = C) & (B = A) & (rpoint @ B) & (rpoint @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])). 18.05/6.97 thf(90,axiom,((! [A:$i,B:$i]: (((rcircle @ B) & (B = A)) => (? [C:$i]: (~ (rinside @ C @ A) & (rpoint @ C) & ~ (ron @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(49), 0), imp(cond(axiom(49), 0)))')). 18.05/6.97 thf(817,plain,((! [A:$i,B:$i]: (((rcircle @ B) & (B = A)) => (? [C:$i]: (~ (rinside @ C @ A) & (rpoint @ C) & ~ (ron @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[90])). 18.05/6.97 thf(20,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((((vangle @ B @ A @ C) = (vplus @ (vangle @ B @ A @ D) @ (vangle @ D @ A @ C))) <=> ((rS @ B @ D @ F) & (rS @ C @ D @ E))) <= (~ (ron @ D @ E) & (ron @ C @ F) & (ron @ B @ E) & ? [G:$i]: ((A = G) & (rpoint @ G)) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (G = C)) & ? [G:$i]: ((rpoint @ G) & (G = D)) & ? [G:$i]: ((G = E) & (rline @ G)) & ? [G:$i]: ((rline @ G) & (G = F)) & (ron @ A @ E) & (ron @ A @ F) & (B != A) & (A != C) & ~ (ron @ D @ F) & (F != E))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))')). 18.05/6.97 thf(284,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((((vangle @ B @ A @ C) = (vplus @ (vangle @ B @ A @ D) @ (vangle @ D @ A @ C))) => ((rS @ B @ D @ F) & (rS @ C @ D @ E))) & (((rS @ B @ D @ F) & (rS @ C @ D @ E)) => ((vangle @ B @ A @ C) = (vplus @ (vangle @ B @ A @ D) @ (vangle @ D @ A @ C))))) | ~ (~ (ron @ D @ E) & (ron @ C @ F) & (ron @ B @ E) & ? [G:$i]: ((A = G) & (rpoint @ G)) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (G = C)) & ? [G:$i]: ((rpoint @ G) & (G = D)) & ? [G:$i]: ((G = E) & (rline @ G)) & ? [G:$i]: ((rline @ G) & (G = F)) & (ron @ A @ E) & (ron @ A @ F) & ~ (B = A) & ~ (A = C) & ~ (ron @ D @ F) & ~ (F = E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])). 18.05/6.97 thf(85,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rinside @ A @ D) & (rinside @ B @ C) & (ron @ A @ C) & ? [E:$i]: ((rpoint @ E) & (B = E)) & ? [E:$i]: ((A = E) & (rpoint @ E)) & (ron @ B @ D)) => (rintersect @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))')). 18.05/6.97 thf(770,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rinside @ A @ D) & (rinside @ B @ C) & (ron @ A @ C) & ? [E:$i]: ((rpoint @ E) & (B = E)) & ? [E:$i]: ((A = E) & (rpoint @ E)) & (ron @ B @ D)) => (rintersect @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[85])). 18.05/6.97 thf(4,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rintersect @ A @ C) & (A = B) & (rcircle @ B) & (rcircle @ D) & (D = C)) => (? [E:$i]: ((rpoint @ E) & (ron @ E @ A) & (ron @ E @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(65), 0), imp(cond(axiom(65), 0)))')). 18.05/6.97 thf(152,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rintersect @ A @ C) & (A = B) & (rcircle @ B) & (rcircle @ D) & (D = C)) => (? [E:$i]: ((rpoint @ E) & (ron @ E @ A) & (ron @ E @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 18.05/6.97 thf(23,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((~ (ron @ D @ E) & (E = F) & (rline @ F) & (D != C) & (B != D) & (A != B) & ? [G:$i]: ((C = G) & (rpoint @ G)) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (G = A)) & ? [G:$i]: ((rpoint @ G) & (G = D)) & (A != C) & (D != A) & (C != B)) => ((rR @ C @ A @ B) <=> ((vplus @ (vg @ A @ C @ D) @ (vg @ D @ C @ B)) = (vg @ A @ D @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))')). 18.05/6.97 thf(316,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((~ (ron @ D @ E) & (E = F) & (rline @ F) & ~ (D = C) & ~ (B = D) & ~ (A = B) & ? [G:$i]: ((C = G) & (rpoint @ G)) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (G = A)) & ? [G:$i]: ((rpoint @ G) & (G = D)) & ~ (A = C) & ~ (D = A) & ~ (C = B)) => (((rR @ C @ A @ B) => ((vplus @ (vg @ A @ C @ D) @ (vg @ D @ C @ B)) = (vg @ A @ D @ B))) & (((vplus @ (vg @ A @ C @ D) @ (vg @ D @ C @ B)) = (vg @ A @ D @ B)) => (rR @ C @ A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])). 18.05/6.97 thf(10,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((C = D) & (rline @ B) & (B = A) & (rpoint @ D) & ~ (ron @ C @ A)) => (? [E:$i]: ((E != C) & (rpoint @ E) & (rS @ E @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(33), 0), imp(cond(axiom(33), 0)))')). 18.05/6.97 thf(216,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((C = D) & (rline @ B) & (B = A) & (rpoint @ D) & ~ (ron @ C @ A)) => (? [E:$i]: (~ (E = C) & (rpoint @ E) & (rS @ E @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 18.05/6.97 thf(45,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (ron @ A @ C)) <= ((rinside @ A @ C) & (C = D) & (A = B) & (rpoint @ B) & (rcircle @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))')). 18.05/6.97 thf(475,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (ron @ A @ C) | ~ ((rinside @ A @ C) & (C = D) & (A = B) & (rpoint @ B) & (rcircle @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[45])). 18.05/6.97 thf(88,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((ron @ G @ C) & (G = H) & (rinside @ E @ A) & (rpoint @ F) & (D = C) & (A = B) & (rcircle @ B) & (rline @ D) & (E = F) & (ron @ E @ C) & (rpoint @ H) & ~ (rinside @ G @ A) & ~ (ron @ G @ A)) => (? [I:$i]: ((rR @ I @ E @ G) & (ron @ I @ C) & (rpoint @ I) & (ron @ I @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))')). 18.05/6.97 thf(789,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((ron @ G @ C) & (G = H) & (rinside @ E @ A) & (rpoint @ F) & (D = C) & (A = B) & (rcircle @ B) & (rline @ D) & (E = F) & (ron @ E @ C) & (rpoint @ H) & ~ (rinside @ G @ A) & ~ (ron @ G @ A)) => (? [I:$i]: ((rR @ I @ E @ G) & (ron @ I @ C) & (rpoint @ I) & (ron @ I @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[88])). 18.05/6.97 thf(125,axiom,((vd1352 != vd1354)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 8)')). 18.05/6.97 thf(1040,plain,((~ (vd1352 = vd1354))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[125])). 18.05/6.97 thf(67,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((rR @ D @ A @ C) <= (? [E:$i]: ((rpoint @ E) & (D = E)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((E = A) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (C = E)) & (rR @ B @ A @ C) & (rR @ D @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))')). 18.05/6.97 thf(623,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((rR @ D @ A @ C) | ~ (? [E:$i]: ((rpoint @ E) & (D = E)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((E = A) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (C = E)) & (rR @ B @ A @ C) & (rR @ D @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[67])). 18.05/6.97 thf(9,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((~ (rS @ A @ B @ D) & ~ (ron @ C @ D) & (rline @ E) & ? [F:$i]: ((A = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (F = B)) & ? [F:$i]: ((rpoint @ F) & (C = F)) & (D = E) & ~ (ron @ A @ D) & ~ (ron @ B @ D)) => ((rS @ B @ C @ D) | (rS @ A @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(103), 0), imp(cond(axiom(103), 0)))')). 18.05/6.97 thf(211,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((~ (rS @ A @ B @ D) & ~ (ron @ C @ D) & (rline @ E) & ? [F:$i]: ((A = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (F = B)) & ? [F:$i]: ((rpoint @ F) & (C = F)) & (D = E) & ~ (ron @ A @ D) & ~ (ron @ B @ D)) => ((rS @ B @ C @ D) | (rS @ A @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 18.05/6.97 thf(120,axiom,((! [A:$i,B:$i,C:$i]: ((((vangle @ A @ C @ B) = (vangle @ A @ B @ C)) & (C != B) & (A != B) & ? [D:$i]: ((C = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (D = A)) & ? [D:$i]: ((rpoint @ D) & (D = B)) & (C != A)) => (((vf @ A @ B) != (vf @ A @ C)) => (~ (rless @ (vf @ A @ C) @ (vf @ A @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 2)')). 18.05/6.97 thf(1020,plain,((! [A:$i,B:$i,C:$i]: ((((vangle @ A @ C @ B) = (vangle @ A @ B @ C)) & ~ (C = B) & ~ (A = B) & ? [D:$i]: ((C = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (D = A)) & ? [D:$i]: ((rpoint @ D) & (D = B)) & ~ (C = A)) => ((~ ((vf @ A @ B) = (vf @ A @ C))) => (~ (rless @ (vf @ A @ C) @ (vf @ A @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[120])). 18.05/6.97 thf(28,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((ron @ F @ G) & (ron @ E @ G) & (rcenter @ E @ A) & ? [I:$i]: ((A = I) & (rcircle @ I)) & ? [I:$i]: ((I = B) & (rcircle @ I)) & (B != A) & (rintersect @ A @ B) & ? [I:$i]: ((I = C) & (rpoint @ I)) & ? [I:$i]: ((rpoint @ I) & (D = I)) & (ron @ C @ A) & (ron @ C @ B) & (ron @ D @ A) & (ron @ D @ B) & (D != C) & (rcenter @ F @ B) & (rline @ H) & (G = H)) => (~ (rS @ C @ D @ G))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(125), 0), imp(cond(axiom(125), 0)))')). 18.05/6.97 thf(348,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((ron @ F @ G) & (ron @ E @ G) & (rcenter @ E @ A) & ? [I:$i]: ((A = I) & (rcircle @ I)) & ? [I:$i]: ((I = B) & (rcircle @ I)) & ~ (B = A) & (rintersect @ A @ B) & ? [I:$i]: ((I = C) & (rpoint @ I)) & ? [I:$i]: ((rpoint @ I) & (D = I)) & (ron @ C @ A) & (ron @ C @ B) & (ron @ D @ A) & (ron @ D @ B) & ~ (D = C) & (rcenter @ F @ B) & (rline @ H) & (G = H)) => (~ (rS @ C @ D @ G))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])). 18.05/6.97 thf(29,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (ron @ A @ C)) <= ((rS @ A @ B @ C) & (D = C) & ? [E:$i]: ((rpoint @ E) & (E = A)) & ? [E:$i]: ((rpoint @ E) & (B = E)) & (rline @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))')). 18.05/6.97 thf(353,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (ron @ A @ C) | ~ ((rS @ A @ B @ C) & (D = C) & ? [E:$i]: ((rpoint @ E) & (E = A)) & ? [E:$i]: ((rpoint @ E) & (B = E)) & (rline @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])). 18.05/6.97 thf(46,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rintersect @ C @ A) & (rcircle @ B) & (B = A) & (rline @ D) & (C = D)) => (? [E:$i]: ((rpoint @ E) & (ron @ E @ C) & (ron @ E @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(57), 0), imp(cond(axiom(57), 0)))')). 18.05/6.97 thf(480,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rintersect @ C @ A) & (rcircle @ B) & (B = A) & (rline @ D) & (C = D)) => (? [E:$i]: ((rpoint @ E) & (ron @ E @ C) & (ron @ E @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[46])). 18.05/6.97 thf(84,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((ron @ B @ D) & (ron @ B @ C) & (ron @ A @ D) & ? [E:$i]: ((rline @ E) & (E = D)) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & (A != B) & ? [E:$i]: ((rline @ E) & (C = E)) & (ron @ A @ C)) => (C = D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))')). 18.05/6.97 thf(766,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((ron @ B @ D) & (ron @ B @ C) & (ron @ A @ D) & ? [E:$i]: ((rline @ E) & (E = D)) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ~ (A = B) & ? [E:$i]: ((rline @ E) & (C = E)) & (ron @ A @ C)) => (C = D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[84])). 18.05/6.97 thf(86,axiom,((! [A:$i,B:$i]: (((rcircle @ B) & (B = A)) => (? [C:$i]: ((rpoint @ C) & (ron @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(41), 0), imp(cond(axiom(41), 0)))')). 18.05/6.97 thf(774,plain,((! [A:$i,B:$i]: (((rcircle @ B) & (B = A)) => (? [C:$i]: ((rpoint @ C) & (ron @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[86])). 18.05/6.97 thf(115,axiom,((? [A:$i]: ((A = vd1352) & (rpoint @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(383)))')). 18.05/6.97 thf(988,plain,((? [A:$i]: ((A = vd1352) & (rpoint @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[115])). 18.05/6.97 thf(51,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((? [E:$i]: ((rpoint @ E) & (rR @ D @ C @ E))) <= ((D != C) & (ron @ C @ A) & ? [E:$i]: ((rpoint @ E) & (E = C)) & (B = A) & (rline @ B) & ? [E:$i]: ((D = E) & (rpoint @ E)) & (ron @ D @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(29), 0), imp(cond(axiom(29), 0)))')). 18.05/6.97 thf(527,plain,((! [A:$i,B:$i,C:$i,D:$i]: (? [E:$i]: ((rpoint @ E) & (rR @ D @ C @ E)) | ~ (~ (D = C) & (ron @ C @ A) & ? [E:$i]: ((rpoint @ E) & (E = C)) & (B = A) & (rline @ B) & ? [E:$i]: ((D = E) & (rpoint @ E)) & (ron @ D @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[51])). 18.05/6.97 thf(13,axiom,((! [A:$i,B:$i,C:$i]: (((rleq @ v0 @ (vangle @ A @ B @ C)) & (rleq @ (vangle @ A @ B @ C) @ (vplus @ vperp @ vperp))) <= (? [D:$i]: ((D = A) & (rpoint @ D)) & ? [D:$i]: ((D = B) & (rpoint @ D)) & ? [D:$i]: ((D = C) & (rpoint @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(170), 0), imp(cond(axiom(170), 0)))')). 18.05/6.97 thf(233,plain,((! [A:$i,B:$i,C:$i]: (((rleq @ v0 @ (vangle @ A @ B @ C)) & (rleq @ (vangle @ A @ B @ C) @ (vplus @ vperp @ vperp))) | ~ (? [D:$i]: ((D = A) & (rpoint @ D)) & ? [D:$i]: ((D = B) & (rpoint @ D)) & ? [D:$i]: ((D = C) & (rpoint @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 18.05/6.97 thf(104,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rless @ (vf @ C @ A) @ (vf @ C @ B)) <=> (rinside @ A @ D)) <= (? [E:$i]: ((rpoint @ E) & (E = B)) & ? [E:$i]: ((A = E) & (rpoint @ E)) & (rcenter @ C @ D) & (ron @ B @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))')). 18.05/6.97 thf(920,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((((rless @ (vf @ C @ A) @ (vf @ C @ B)) => (rinside @ A @ D)) & ((rinside @ A @ D) => (rless @ (vf @ C @ A) @ (vf @ C @ B)))) | ~ (? [E:$i]: ((rpoint @ E) & (E = B)) & ? [E:$i]: ((A = E) & (rpoint @ E)) & (rcenter @ C @ D) & (ron @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[104])). 18.05/6.97 thf(52,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rintersect @ A @ C) & (A = B) & (rline @ B) & (rline @ D) & (C = D)) => (? [E:$i]: ((ron @ E @ C) & (ron @ E @ A) & (rpoint @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(55), 0), imp(cond(axiom(55), 0)))')). 18.05/6.97 thf(534,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rintersect @ A @ C) & (A = B) & (rline @ B) & (rline @ D) & (C = D)) => (? [E:$i]: ((ron @ E @ C) & (ron @ E @ A) & (rpoint @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])). 18.05/6.97 thf(26,axiom,((! [A:$i,B:$i]: (((B != A) & ? [C:$i]: ((C = A) & (rpoint @ C)) & ? [C:$i]: ((B = C) & (rpoint @ C))) => (! [C:$i,D:$i]: (((C = D) & (rpoint @ D) & (C != A) & (C != B)) => (rpoint @ (vskolem1078 @ C @ D @ A @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 1)')). 18.05/6.97 thf(334,plain,((! [A:$i,B:$i]: ((~ (B = A) & ? [C:$i]: ((C = A) & (rpoint @ C)) & ? [C:$i]: ((B = C) & (rpoint @ C))) => (! [C:$i,D:$i]: (((C = D) & (rpoint @ D) & ~ (C = A) & ~ (C = B)) => (rpoint @ (vskolem1078 @ C @ D @ A @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])). 18.05/6.97 thf(97,axiom,((! [A:$i,B:$i,C:$i]: ((((rless @ (vf @ A @ B) @ (vf @ A @ C)) | (rless @ (vf @ A @ C) @ (vf @ A @ B))) <= ((vf @ A @ B) != (vf @ A @ C))) <= ((A != C) & (A != B) & ? [D:$i]: ((B = D) & (rpoint @ D)) & ? [D:$i]: ((A = D) & (rpoint @ D)) & ? [D:$i]: ((C = D) & (rpoint @ D)) & (C != B) & ((vangle @ A @ B @ C) = (vangle @ A @ C @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 0)')). 18.05/6.97 thf(894,plain,((! [A:$i,B:$i,C:$i]: ((rless @ (vf @ A @ B) @ (vf @ A @ C)) | (rless @ (vf @ A @ C) @ (vf @ A @ B)) | ((vf @ A @ B) = (vf @ A @ C)) | ~ (~ (A = C) & ~ (A = B) & ? [D:$i]: ((B = D) & (rpoint @ D)) & ? [D:$i]: ((A = D) & (rpoint @ D)) & ? [D:$i]: ((C = D) & (rpoint @ D)) & ~ (C = B) & ((vangle @ A @ B @ C) = (vangle @ A @ C @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[97])). 18.05/6.97 thf(94,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((rR @ F @ C @ D) & (ron @ D @ A) & (ron @ C @ A) & ? [G:$i]: ((E = G) & (rpoint @ G)) & (rline @ B) & (B = A) & ? [G:$i]: ((C = G) & (rpoint @ G)) & ? [G:$i]: ((D = G) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (F = G)) & (ron @ E @ A) & (rR @ E @ C @ D)) => (? [G:$i]: ((E != G) & (rR @ G @ C @ D) & (rpoint @ G) & (F != G)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(27), 0), imp(cond(axiom(27), 0)))')). 18.05/6.97 thf(862,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((rR @ F @ C @ D) & (ron @ D @ A) & (ron @ C @ A) & ? [G:$i]: ((E = G) & (rpoint @ G)) & (rline @ B) & (B = A) & ? [G:$i]: ((C = G) & (rpoint @ G)) & ? [G:$i]: ((D = G) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (F = G)) & (ron @ E @ A) & (rR @ E @ C @ D)) => (? [G:$i]: (~ (E = G) & (rR @ G @ C @ D) & (rpoint @ G) & ~ (F = G)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[94])). 18.05/6.97 thf(103,axiom,((! [A:$i,B:$i,C:$i]: (((rR @ B @ A @ C) & ? [D:$i]: ((rpoint @ D) & (A = D)) & ? [D:$i]: ((B = D) & (rpoint @ D)) & ? [D:$i]: ((C = D) & (rpoint @ D))) => ((vf @ A @ C) = (vplus @ (vf @ A @ B) @ (vf @ B @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))')). 18.05/6.97 thf(916,plain,((! [A:$i,B:$i,C:$i]: (((rR @ B @ A @ C) & ? [D:$i]: ((rpoint @ D) & (A = D)) & ? [D:$i]: ((B = D) & (rpoint @ D)) & ? [D:$i]: ((C = D) & (rpoint @ D))) => ((vf @ A @ C) = (vplus @ (vf @ A @ B) @ (vf @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[103])). 18.05/6.97 thf(43,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((D = C) <= ((rcenter @ C @ A) & (B = A) & (rcircle @ B) & (rcenter @ D @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(75), 0), imp(cond(axiom(75), 0)))')). 18.05/6.97 thf(467,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((D = C) | ~ ((rcenter @ C @ A) & (B = A) & (rcircle @ B) & (rcenter @ D @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])). 18.05/6.97 thf(25,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((rR @ A @ B @ C) | (rR @ C @ A @ B) | (rR @ B @ A @ C)) <= ((ron @ A @ D) & (rline @ E) & (C != B) & (A != C) & ? [F:$i]: ((A = F) & (rpoint @ F)) & ? [F:$i]: ((F = B) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (C = F)) & (A != B) & (ron @ B @ D) & (ron @ C @ D) & (D = E))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))')). 18.05/6.97 thf(329,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((rR @ A @ B @ C) | (rR @ C @ A @ B) | (rR @ B @ A @ C) | ~ ((ron @ A @ D) & (rline @ E) & ~ (C = B) & ~ (A = C) & ? [F:$i]: ((A = F) & (rpoint @ F)) & ? [F:$i]: ((F = B) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (C = F)) & ~ (A = B) & (ron @ B @ D) & (ron @ C @ D) & (D = E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])). 18.05/6.97 thf(50,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((ron @ F @ B) & (ron @ D @ C) & (ron @ D @ A) & ? [H:$i]: ((rpoint @ H) & (H = G)) & ? [H:$i]: ((F = H) & (rpoint @ H)) & ? [H:$i]: ((rpoint @ H) & (H = D)) & ? [H:$i]: ((C = H) & (rline @ H)) & ? [H:$i]: ((H = A) & (rline @ H)) & ? [H:$i]: ((rline @ H) & (H = B)) & ? [H:$i]: ((rpoint @ H) & (H = E)) & (ron @ D @ B) & (ron @ E @ A) & (ron @ G @ C) & (rS @ F @ G @ A) & ~ (rS @ E @ G @ B) & ~ (ron @ G @ B) & (D != E)) => (rS @ E @ F @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(115), 0), imp(cond(axiom(115), 0)))')). 18.05/6.97 thf(522,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((ron @ F @ B) & (ron @ D @ C) & (ron @ D @ A) & ? [H:$i]: ((rpoint @ H) & (H = G)) & ? [H:$i]: ((F = H) & (rpoint @ H)) & ? [H:$i]: ((rpoint @ H) & (H = D)) & ? [H:$i]: ((C = H) & (rline @ H)) & ? [H:$i]: ((H = A) & (rline @ H)) & ? [H:$i]: ((rline @ H) & (H = B)) & ? [H:$i]: ((rpoint @ H) & (H = E)) & (ron @ D @ B) & (ron @ E @ A) & (ron @ G @ C) & (rS @ F @ G @ A) & ~ (rS @ E @ G @ B) & ~ (ron @ G @ B) & ~ (D = E)) => (rS @ E @ F @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])). 18.05/6.97 thf(96,axiom,((! [A:$i,B:$i]: (((vplus @ A @ v0) = A) <= ((B = A) & (rreal @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))')). 18.05/6.97 thf(889,plain,((! [A:$i,B:$i]: (((vplus @ A @ v0) = A) | ~ ((B = A) & (rreal @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[96])). 18.05/6.97 thf(42,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((? [E:$i]: ((E != C) & (ron @ E @ A) & (rpoint @ E))) <= ((ron @ C @ A) & (B = A) & (rline @ B) & (rpoint @ D) & (C = D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(17), 0), imp(cond(axiom(17), 0)))')). 18.05/6.97 thf(456,plain,((! [A:$i,B:$i,C:$i,D:$i]: (? [E:$i]: (~ (E = C) & (ron @ E @ A) & (rpoint @ E)) | ~ ((ron @ C @ A) & (B = A) & (rline @ B) & (rpoint @ D) & (C = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[42])). 18.05/6.97 thf(24,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((A = C) <= (((vplus @ C @ E) = (vplus @ A @ E)) & (E = F) & (rreal @ F) & (C = D) & (rreal @ D) & (rreal @ B) & (A = B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(156, 0), 0)')). 18.05/6.97 thf(324,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((A = C) | ~ (((vplus @ C @ E) = (vplus @ A @ E)) & (E = F) & (rreal @ F) & (C = D) & (rreal @ D) & (rreal @ B) & (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])). 18.05/6.97 thf(108,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((rreal @ C) & (C = (vf @ A @ B)))) <= (? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((rpoint @ C) & (C = A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))')). 18.05/6.97 thf(948,plain,((! [A:$i,B:$i]: (? [C:$i]: ((rreal @ C) & (C = (vf @ A @ B))) | ~ (? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((rpoint @ C) & (C = A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[108])). 18.05/6.97 thf(64,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((vplus @ A @ C) = (vplus @ C @ A)) <= ((rreal @ B) & (A = B) & (rreal @ D) & (C = D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))')). 18.05/6.97 thf(615,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((vplus @ A @ C) = (vplus @ C @ A)) | ~ ((rreal @ B) & (A = B) & (rreal @ D) & (C = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[64])). 18.05/6.97 thf(113,axiom,((! [A:$i,B:$i,C:$i]: ((((vangle @ A @ B @ C) = (vangle @ A @ C @ B)) & (C != A) & (A != B) & ? [D:$i]: ((C = D) & (rpoint @ D)) & ? [D:$i]: ((A = D) & (rpoint @ D)) & ? [D:$i]: ((B = D) & (rpoint @ D)) & (C != B)) => (((vf @ A @ C) != (vf @ A @ B)) => (~ (rless @ (vf @ A @ B) @ (vf @ A @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 1)')). 18.05/6.97 thf(980,plain,((! [A:$i,B:$i,C:$i]: ((((vangle @ A @ B @ C) = (vangle @ A @ C @ B)) & ~ (C = A) & ~ (A = B) & ? [D:$i]: ((C = D) & (rpoint @ D)) & ? [D:$i]: ((A = D) & (rpoint @ D)) & ? [D:$i]: ((B = D) & (rpoint @ D)) & ~ (C = B)) => ((~ ((vf @ A @ C) = (vf @ A @ B))) => (~ (rless @ (vf @ A @ B) @ (vf @ A @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[113])). 18.05/6.97 thf(61,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((ron @ A @ C) & (rline @ C) & (ron @ B @ C))) <= ((B != A) & ? [C:$i]: ((rpoint @ C) & (B = C)) & ? [C:$i]: ((A = C) & (rpoint @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))')). 18.05/6.97 thf(593,plain,((! [A:$i,B:$i]: (? [C:$i]: ((ron @ A @ C) & (rline @ C) & (ron @ B @ C)) | ~ (~ (B = A) & ? [C:$i]: ((rpoint @ C) & (B = C)) & ? [C:$i]: ((A = C) & (rpoint @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[61])). 18.05/6.97 thf(63,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((ron @ A @ E) & (rinside @ A @ C) & (F = E) & (rline @ F) & (C = D) & (B = A) & (rpoint @ B) & (rcircle @ D)) => (rintersect @ E @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(131), 0), imp(cond(axiom(131), 0)))')). 18.05/6.97 thf(610,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((ron @ A @ E) & (rinside @ A @ C) & (F = E) & (rline @ F) & (C = D) & (B = A) & (rpoint @ B) & (rcircle @ D)) => (rintersect @ E @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[63])). 18.05/6.97 thf(44,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (rR @ B @ C @ D)) <= ((rR @ B @ A @ C) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (A = E)) & ? [E:$i]: ((rpoint @ E) & (C = E)) & ? [E:$i]: ((rpoint @ E) & (D = E)) & (rR @ B @ A @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))')). 18.05/6.97 thf(471,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (rR @ B @ C @ D) | ~ ((rR @ B @ A @ C) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (A = E)) & ? [E:$i]: ((rpoint @ E) & (C = E)) & ? [E:$i]: ((rpoint @ E) & (D = E)) & (rR @ B @ A @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[44])). 18.05/6.97 thf(71,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: ((((ron @ A @ F) | (rinside @ A @ F)) & (rcircle @ G) & (D = E) & (rline @ E) & ? [H:$i]: ((A = H) & (rpoint @ H)) & ? [H:$i]: ((rpoint @ H) & (B = H)) & ? [H:$i]: ((H = C) & (rpoint @ H)) & (F = G) & ((ron @ B @ F) | (rinside @ B @ F)) & (rR @ C @ A @ B)) => (rinside @ C @ F)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(121), 0), imp(cond(axiom(121), 0)))')). 18.05/6.97 thf(642,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: ((((ron @ A @ F) | (rinside @ A @ F)) & (rcircle @ G) & (D = E) & (rline @ E) & ? [H:$i]: ((A = H) & (rpoint @ H)) & ? [H:$i]: ((rpoint @ H) & (B = H)) & ? [H:$i]: ((H = C) & (rpoint @ H)) & (F = G) & ((ron @ B @ F) | (rinside @ B @ F)) & (rR @ C @ A @ B)) => (rinside @ C @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[71])). 18.05/6.97 thf(70,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((rless @ A @ E) <= ((rless @ C @ E) & (E = F) & (rreal @ B) & (A = B) & (rreal @ D) & (C = D) & (rreal @ F) & (rless @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))')). 18.05/6.97 thf(637,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((rless @ A @ E) | ~ ((rless @ C @ E) & (E = F) & (rreal @ B) & (A = B) & (rreal @ D) & (C = D) & (rreal @ F) & (rless @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[70])). 18.05/6.97 thf(114,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((rpoint @ C) & (B = C)) & ? [C:$i]: ((A = C) & (rpoint @ C))) => ((vf @ A @ B) = (vf @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))')). 18.05/6.97 thf(984,plain,((! [A:$i,B:$i]: ((? [C:$i]: ((rpoint @ C) & (B = C)) & ? [C:$i]: ((A = C) & (rpoint @ C))) => ((vf @ A @ B) = (vf @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[114])). 18.05/6.97 thf(102,axiom,((! [A:$i,B:$i,C:$i]: ((! [D:$i,E:$i,F:$i,G:$i]: (((E = D) & (G = F) & (rR @ C @ A @ F) & (rR @ B @ A @ D) & (rpoint @ E) & (rpoint @ G)) => ((vangle @ A @ C @ B) = (vangle @ A @ B @ C)))) <= ((B != C) & ? [D:$i]: ((A = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (D = B)) & ? [D:$i]: ((rpoint @ D) & (D = C)) & (B != A) & (A != C) & ((vf @ A @ B) = (vf @ A @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(340), 0), 1)')). 18.05/6.97 thf(911,plain,((! [A:$i,B:$i,C:$i]: (! [D:$i,E:$i,F:$i,G:$i]: (((E = D) & (G = F) & (rR @ C @ A @ F) & (rR @ B @ A @ D) & (rpoint @ E) & (rpoint @ G)) => ((vangle @ A @ C @ B) = (vangle @ A @ B @ C))) | ~ (~ (B = C) & ? [D:$i]: ((A = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (D = B)) & ? [D:$i]: ((rpoint @ D) & (D = C)) & ~ (B = A) & ~ (A = C) & ((vf @ A @ B) = (vf @ A @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[102])). 18.05/6.97 thf(1,conjecture,(((vf @ vd1352 @ vd1353) = (vf @ vd1352 @ vd1354))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(384, 1360, 0)')). 18.05/6.97 thf(2,negated_conjecture,((~ ((vf @ vd1352 @ vd1353) = (vf @ vd1352 @ vd1354)))),inference(neg_conjecture,[status(cth)],[1])). 18.05/6.97 thf(128,plain,((~ ((vf @ vd1352 @ vd1353) = (vf @ vd1352 @ vd1354)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 18.05/6.97 thf(49,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((? [F:$i]: ((C != F) & (ron @ F @ A) & (rpoint @ F) & (D != F))) <= ((ron @ D @ A) & (ron @ C @ A) & ? [F:$i]: ((F = C) & (rpoint @ F)) & (rline @ B) & (B = A) & ? [F:$i]: ((D = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (E = F)) & (ron @ E @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(21), 0), imp(cond(axiom(21), 0)))')). 18.05/6.97 thf(508,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (? [F:$i]: (~ (C = F) & (ron @ F @ A) & (rpoint @ F) & ~ (D = F)) | ~ ((ron @ D @ A) & (ron @ C @ A) & ? [F:$i]: ((F = C) & (rpoint @ F)) & (rline @ B) & (B = A) & ? [F:$i]: ((D = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (E = F)) & (ron @ E @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[49])). 18.05/6.97 thf(22,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((rS @ A @ B @ D) <= ((rS @ A @ C @ D) & (rR @ B @ A @ C) & (D = E) & (rline @ E) & ? [F:$i]: ((rpoint @ F) & (F = C)) & ? [F:$i]: ((A = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (B = F)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(105), 0), imp(cond(axiom(105), 0)))')). 18.05/6.97 thf(311,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((rS @ A @ B @ D) | ~ ((rS @ A @ C @ D) & (rR @ B @ A @ C) & (D = E) & (rline @ E) & ? [F:$i]: ((rpoint @ F) & (F = C)) & ? [F:$i]: ((A = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (B = F)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])). 18.05/6.97 thf(34,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((ron @ C @ D) <=> ((vg @ A @ B @ C) = v0)) <= ((ron @ A @ D) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((B = F) & (rpoint @ F)) & ? [F:$i]: ((C = F) & (rpoint @ F)) & (rline @ E) & (E = D) & (B != A) & (ron @ B @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))')). 18.05/6.97 thf(398,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((((ron @ C @ D) => ((vg @ A @ B @ C) = v0)) & (((vg @ A @ B @ C) = v0) => (ron @ C @ D))) | ~ ((ron @ A @ D) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((B = F) & (rpoint @ F)) & ? [F:$i]: ((C = F) & (rpoint @ F)) & (rline @ E) & (E = D) & ~ (B = A) & (ron @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])). 18.05/6.97 thf(77,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((A != E) & (A != D) & (A != B) & (ron @ C @ G) & (ron @ D @ F) & ? [H:$i]: ((H = G) & (rline @ H)) & ? [H:$i]: ((rpoint @ H) & (H = D)) & ? [H:$i]: ((rpoint @ H) & (H = C)) & ? [H:$i]: ((A = H) & (rpoint @ H)) & ? [H:$i]: ((B = H) & (rpoint @ H)) & ? [H:$i]: ((E = H) & (rpoint @ H)) & ? [H:$i]: ((rline @ H) & (F = H)) & (ron @ A @ F) & (ron @ B @ F) & (ron @ E @ G) & (C != A) & ~ (rR @ A @ B @ D) & ~ (rR @ A @ C @ E)) => ((vangle @ D @ A @ E) = (vangle @ B @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))')). 18.05/6.97 thf(689,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: ((~ (A = E) & ~ (A = D) & ~ (A = B) & (ron @ C @ G) & (ron @ D @ F) & ? [H:$i]: ((H = G) & (rline @ H)) & ? [H:$i]: ((rpoint @ H) & (H = D)) & ? [H:$i]: ((rpoint @ H) & (H = C)) & ? [H:$i]: ((A = H) & (rpoint @ H)) & ? [H:$i]: ((B = H) & (rpoint @ H)) & ? [H:$i]: ((E = H) & (rpoint @ H)) & ? [H:$i]: ((rline @ H) & (F = H)) & (ron @ A @ F) & (ron @ B @ F) & (ron @ E @ G) & ~ (C = A) & ~ (rR @ A @ B @ D) & ~ (rR @ A @ C @ E)) => ((vangle @ D @ A @ E) = (vangle @ B @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[77])). 18.05/6.97 thf(100,axiom,((vd1354 != vd1353)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 9)')). 18.05/6.97 thf(904,plain,((~ (vd1354 = vd1353))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[100])). 18.05/6.97 thf(119,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((~ (? [G:$i]: ((ron @ F @ G) & (ron @ E @ G) & (ron @ D @ G) & (rline @ G))) & ((vangle @ B @ A @ C) = (vangle @ E @ D @ F)) & ((vf @ D @ F) = (vf @ A @ C)) & ((vf @ D @ E) = (vf @ A @ B)) & ? [G:$i]: ((F = G) & (rpoint @ G)) & ? [G:$i]: ((G = E) & (rpoint @ G)) & (C != B) & (A != C) & (B != A) & ? [G:$i]: ((G = C) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (A = G)) & ? [G:$i]: ((rpoint @ G) & (G = B)) & ? [G:$i]: ((rpoint @ G) & (D = G))) => ((vangle @ A @ B @ C) = (vangle @ D @ E @ F))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(264), 0), 1)')). 18.05/6.97 thf(1007,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((~ (? [G:$i]: ((ron @ F @ G) & (ron @ E @ G) & (ron @ D @ G) & (rline @ G))) & ((vangle @ B @ A @ C) = (vangle @ E @ D @ F)) & ((vf @ D @ F) = (vf @ A @ C)) & ((vf @ D @ E) = (vf @ A @ B)) & ? [G:$i]: ((F = G) & (rpoint @ G)) & ? [G:$i]: ((G = E) & (rpoint @ G)) & ~ (C = B) & ~ (A = C) & ~ (B = A) & ? [G:$i]: ((G = C) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (A = G)) & ? [G:$i]: ((rpoint @ G) & (G = B)) & ? [G:$i]: ((rpoint @ G) & (D = G))) => ((vangle @ A @ B @ C) = (vangle @ D @ E @ F))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[119])). 18.05/6.97 thf(78,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((rintersect @ C @ E) <= ((ron @ B @ E) & (rline @ F) & ? [G:$i]: ((rpoint @ G) & (A = G)) & ? [G:$i]: ((rpoint @ G) & (B = G)) & (rline @ D) & ~ (rS @ A @ B @ C) & (ron @ A @ E) & (E = F) & (D = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(127), 0), imp(cond(axiom(127), 0)))')). 18.05/6.97 thf(694,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((rintersect @ C @ E) | ~ ((ron @ B @ E) & (rline @ F) & ? [G:$i]: ((rpoint @ G) & (A = G)) & ? [G:$i]: ((rpoint @ G) & (B = G)) & (rline @ D) & ~ (rS @ A @ B @ C) & (ron @ A @ E) & (E = F) & (D = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[78])). 18.05/6.97 thf(7,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((ron @ F @ C) & (rcenter @ F @ B) & (rintersect @ A @ B) & (C = D) & (rline @ D) & ? [H:$i]: ((rcircle @ H) & (A = H)) & ? [H:$i]: ((B = H) & (rcircle @ H)) & (rcenter @ E @ A) & (ron @ E @ C) & ~ (ron @ G @ C)) => (? [H:$i]: ((rS @ H @ G @ C) & (ron @ H @ B) & (rpoint @ H) & (ron @ H @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(69), 0), imp(cond(axiom(69), 0)))')). 18.05/6.97 thf(191,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((ron @ F @ C) & (rcenter @ F @ B) & (rintersect @ A @ B) & (C = D) & (rline @ D) & ? [H:$i]: ((rcircle @ H) & (A = H)) & ? [H:$i]: ((B = H) & (rcircle @ H)) & (rcenter @ E @ A) & (ron @ E @ C) & ~ (ron @ G @ C)) => (? [H:$i]: ((rS @ H @ G @ C) & (ron @ H @ B) & (rpoint @ H) & (ron @ H @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 18.05/6.97 thf(95,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((? [G:$i]: ((E != G) & (ron @ G @ A) & (rpoint @ G) & (C != G))) <= ((ron @ E @ A) & (ron @ C @ A) & (rpoint @ F) & (C = D) & (B = A) & (rline @ B) & (rpoint @ D) & (F = E))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(19), 0), imp(cond(axiom(19), 0)))')). 18.05/6.97 thf(875,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (? [G:$i]: (~ (E = G) & (ron @ G @ A) & (rpoint @ G) & ~ (C = G)) | ~ ((ron @ E @ A) & (ron @ C @ A) & (rpoint @ F) & (C = D) & (B = A) & (rline @ B) & (rpoint @ D) & (F = E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[95])). 18.05/6.97 thf(8,axiom,((! [A:$i,B:$i,C:$i]: ((? [D:$i]: ((D = A) & (rpoint @ D)) & ? [D:$i]: ((B = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (C = D))) => (((vg @ A @ B @ C) = (vg @ C @ A @ B)) & ((vg @ A @ B @ C) = (vg @ A @ C @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))')). 18.05/6.97 thf(204,plain,((! [A:$i,B:$i,C:$i]: ((? [D:$i]: ((D = A) & (rpoint @ D)) & ? [D:$i]: ((B = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (C = D))) => (((vg @ A @ B @ C) = (vg @ C @ A @ B)) & ((vg @ A @ B @ C) = (vg @ A @ C @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 18.05/6.97 thf(53,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((? [F:$i]: ((F = E) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (F = D)) & (rline @ B) & (A = B) & ? [F:$i]: ((C = F) & (rpoint @ F)) & (ron @ C @ A) & (ron @ D @ A) & (rR @ E @ C @ D)) => (? [F:$i]: ((rpoint @ F) & (rR @ F @ C @ D) & (E != F)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(25), 0), imp(cond(axiom(25), 0)))')). 18.05/6.97 thf(545,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((? [F:$i]: ((F = E) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (F = D)) & (rline @ B) & (A = B) & ? [F:$i]: ((C = F) & (rpoint @ F)) & (ron @ C @ A) & (ron @ D @ A) & (rR @ E @ C @ D)) => (? [F:$i]: ((rpoint @ F) & (rR @ F @ C @ D) & ~ (E = F)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[53])). 18.05/6.97 thf(99,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((((vf @ C @ B) = (vf @ C @ A)) & (ron @ B @ E) & (rcenter @ C @ E) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((rpoint @ F) & (B = F)) & (rcenter @ C @ D) & (ron @ A @ D)) => (E = D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))')). 18.05/6.97 thf(900,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((((vf @ C @ B) = (vf @ C @ A)) & (ron @ B @ E) & (rcenter @ C @ E) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((rpoint @ F) & (B = F)) & (rcenter @ C @ D) & (ron @ A @ D)) => (E = D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[99])). 18.05/6.97 thf(35,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rreal @ B) & (A = B) & (rreal @ D) & (D = C)) => (? [E:$i]: (((vplus @ A @ C) = E) & (rreal @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))')). 18.05/6.97 thf(406,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rreal @ B) & (A = B) & (rreal @ D) & (D = C)) => (? [E:$i]: (((vplus @ A @ C) = E) & (rreal @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])). 18.05/6.97 thf(32,axiom,((! [A:$i,B:$i,C:$i]: ((? [D:$i]: ((D != C) & (D != B) & (D != A) & (rpoint @ D))) <= (? [D:$i]: ((rpoint @ D) & (D = C)) & ? [D:$i]: ((rpoint @ D) & (B = D)) & ? [D:$i]: ((A = D) & (rpoint @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(11), 0), imp(cond(axiom(11), 0)))')). 18.05/6.97 thf(377,plain,((! [A:$i,B:$i,C:$i]: (? [D:$i]: (~ (D = C) & ~ (D = B) & ~ (D = A) & (rpoint @ D)) | ~ (? [D:$i]: ((rpoint @ D) & (D = C)) & ? [D:$i]: ((rpoint @ D) & (B = D)) & ? [D:$i]: ((A = D) & (rpoint @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])). 18.05/6.97 thf(117,axiom,((! [A:$i,B:$i]: ((rleq @ v0 @ (vf @ A @ B)) <= (? [C:$i]: ((B = C) & (rpoint @ C)) & ? [C:$i]: ((A = C) & (rpoint @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(164), 0), imp(cond(axiom(164), 0)))')). 18.05/6.97 thf(996,plain,((! [A:$i,B:$i]: ((rleq @ v0 @ (vf @ A @ B)) | ~ (? [C:$i]: ((B = C) & (rpoint @ C)) & ? [C:$i]: ((A = C) & (rpoint @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[117])). 18.05/6.97 thf(15,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rless @ C @ A) | (C = A) | (rless @ A @ C)) <= ((D = C) & (B = A) & (rreal @ B) & (rreal @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))')). 18.05/6.97 thf(245,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((rless @ C @ A) | (C = A) | (rless @ A @ C) | ~ ((D = C) & (B = A) & (rreal @ B) & (rreal @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])). 18.05/6.97 thf(126,axiom,((! [A:$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:$i]: (((R = Q) & ! [S:$i,T:$i,U:$i]: ((((vf @ G @ H) = (vf @ I @ J)) & ((vangle @ N @ O @ P) = (vangle @ K @ L @ M))) <= (~ (rR @ D @ T @ E) & ((vf @ A @ C) = (vf @ S @ U)) & ((vangle @ A @ C @ B) = (vangle @ S @ U @ T)) & ((vangle @ T @ S @ U) = (vangle @ B @ A @ C)) & ((vangle @ C @ B @ A) = (vangle @ U @ T @ S)) & (rpoint @ S) & (rpoint @ T) & (rpoint @ U) & (S = D) & ((vf @ A @ B) = (vf @ S @ T)) & ((vf @ T @ U) = (vf @ B @ C)) & (ron @ T @ Q) & (rS @ U @ F @ Q))) & ~ (ron @ F @ Q) & (ron @ E @ Q) & ? [S:$i]: ((N = S) & (rpoint @ S)) & ? [S:$i]: ((S = J) & (rpoint @ S)) & ? [S:$i]: ((rpoint @ S) & (S = H)) & ? [S:$i]: ((E = S) & (rpoint @ S)) & ? [S:$i]: ((rpoint @ S) & (S = D)) & (C != B) & ? [S:$i]: ((rpoint @ S) & (S = A)) & ? [S:$i]: ((rpoint @ S) & (B = S)) & ? [S:$i]: ((rpoint @ S) & (C = S)) & (B != A) & (A != C) & ? [S:$i]: ((F = S) & (rpoint @ S)) & ? [S:$i]: ((rpoint @ S) & (S = G)) & ? [S:$i]: ((rpoint @ S) & (I = S)) & ? [S:$i]: ((rpoint @ S) & (K = S)) & ? [S:$i]: ((rpoint @ S) & (L = S)) & ? [S:$i]: ((M = S) & (rpoint @ S)) & ? [S:$i]: ((O = S) & (rpoint @ S)) & ? [S:$i]: ((S = P) & (rpoint @ S)) & (rline @ R) & (ron @ D @ Q)) => (((vangle @ N @ O @ P) = (vangle @ K @ L @ M)) & ((vf @ I @ J) = (vf @ G @ H)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(204), 0), imp(cond(axiom(204), 0)))')). 18.05/6.97 thf(1043,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]: (((R = Q) & ! [S:$i,T:$i,U:$i]: ((((vf @ G @ H) = (vf @ I @ J)) & ((vangle @ N @ O @ P) = (vangle @ K @ L @ M))) | ~ (~ (rR @ D @ T @ E) & ((vf @ A @ C) = (vf @ S @ U)) & ((vangle @ A @ C @ B) = (vangle @ S @ U @ T)) & ((vangle @ T @ S @ U) = (vangle @ B @ A @ C)) & ((vangle @ C @ B @ A) = (vangle @ U @ T @ S)) & (rpoint @ S) & (rpoint @ T) & (rpoint @ U) & (S = D) & ((vf @ A @ B) = (vf @ S @ T)) & ((vf @ T @ U) = (vf @ B @ C)) & (ron @ T @ Q) & (rS @ U @ F @ Q))) & ~ (ron @ F @ Q) & (ron @ E @ Q) & ? [S:$i]: ((N = S) & (rpoint @ S)) & ? [S:$i]: ((S = J) & (rpoint @ S)) & ? [S:$i]: ((rpoint @ S) & (S = H)) & ? [S:$i]: ((E = S) & (rpoint @ S)) & ? [S:$i]: ((rpoint @ S) & (S = D)) & ~ (C = B) & ? [S:$i]: ((rpoint @ S) & (S = A)) & ? [S:$i]: ((rpoint @ S) & (B = S)) & ? [S:$i]: ((rpoint @ S) & (C = S)) & ~ (B = A) & ~ (A = C) & ? [S:$i]: ((F = S) & (rpoint @ S)) & ? [S:$i]: ((rpoint @ S) & (S = G)) & ? [S:$i]: ((rpoint @ S) & (I = S)) & ? [S:$i]: ((rpoint @ S) & (K = S)) & ? [S:$i]: ((rpoint @ S) & (L = S)) & ? [S:$i]: ((M = S) & (rpoint @ S)) & ? [S:$i]: ((O = S) & (rpoint @ S)) & ? [S:$i]: ((S = P) & (rpoint @ S)) & (rline @ R) & (ron @ D @ Q)) => (((vangle @ N @ O @ P) = (vangle @ K @ L @ M)) & ((vf @ I @ J) = (vf @ G @ H)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[126])). 18.05/6.97 thf(18,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((E = D) & (ron @ B @ D) & (ron @ A @ D) & (rR @ B @ A @ C) & ? [F:$i]: ((rpoint @ F) & (B = F)) & ? [F:$i]: ((F = A) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (C = F)) & (rline @ E)) => (ron @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))')). 18.05/6.97 thf(271,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((E = D) & (ron @ B @ D) & (ron @ A @ D) & (rR @ B @ A @ C) & ? [F:$i]: ((rpoint @ F) & (B = F)) & ? [F:$i]: ((F = A) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (C = F)) & (rline @ E)) => (ron @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])). 18.05/6.97 thf(66,axiom,((! [A:$i,B:$i]: ((rinside @ A @ B) <= (rcenter @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))')). 18.05/6.97 thf(621,plain,((! [A:$i,B:$i]: ((rinside @ A @ B) | ~ (rcenter @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[66])). 18.05/6.97 thf(14,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((rS @ A @ A @ C) <= ((C = D) & (B = A) & (rpoint @ B) & (rline @ D) & ~ (ron @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(95), 0), imp(cond(axiom(95), 0)))')). 18.05/6.97 thf(240,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((rS @ A @ A @ C) | ~ ((C = D) & (B = A) & (rpoint @ B) & (rline @ D) & ~ (ron @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 18.05/6.97 thf(122,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((C = D) & (A = B) & (rpoint @ B) & (rpoint @ D) & (A != C)) => ((vf @ (vskolem1052 @ A @ B @ C @ D) @ A) = (vf @ C @ (vskolem1052 @ A @ B @ C @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 0)')). 18.05/6.97 thf(1029,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((C = D) & (A = B) & (rpoint @ B) & (rpoint @ D) & ~ (A = C)) => ((vf @ (vskolem1052 @ A @ B @ C @ D) @ A) = (vf @ C @ (vskolem1052 @ A @ B @ C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[122])). 18.05/6.97 thf(75,axiom,((! [A:$i,B:$i]: (((rcircle @ B) & (A = B)) => (? [C:$i]: ((rinside @ C @ A) & (rpoint @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(47), 0), imp(cond(axiom(47), 0)))')). 18.05/6.97 thf(668,plain,((! [A:$i,B:$i]: (((rcircle @ B) & (A = B)) => (? [C:$i]: ((rinside @ C @ A) & (rpoint @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[75])). 18.05/6.97 thf(3,axiom,((! [A:$i,B:$i]: ((? [C:$i,D:$i]: ((D != C) & (ron @ D @ A) & (ron @ C @ B) & (ron @ C @ A) & (rpoint @ C) & (rpoint @ D) & (ron @ D @ B))) <= ((rintersect @ A @ B) & ? [C:$i]: ((B = C) & (rcircle @ C)) & ? [C:$i]: ((C = A) & (rcircle @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))')). 18.05/6.97 thf(130,plain,((! [A:$i,B:$i]: (? [C:$i,D:$i]: (~ (D = C) & (ron @ D @ A) & (ron @ C @ B) & (ron @ C @ A) & (rpoint @ C) & (rpoint @ D) & (ron @ D @ B)) | ~ ((rintersect @ A @ B) & ? [C:$i]: ((B = C) & (rcircle @ C)) & ? [C:$i]: ((C = A) & (rcircle @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 18.05/6.97 thf(110,axiom,((? [A:$i]: ((rpoint @ A) & (vd1353 = A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(383)))')). 18.05/6.97 thf(959,plain,((? [A:$i]: ((rpoint @ A) & (vd1353 = A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[110])). 18.05/6.97 thf(118,axiom,((! [A:$i,B:$i]: (((A = B) <=> (v0 = (vf @ A @ B))) <= (? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((C = A) & (rpoint @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))')). 18.05/6.97 thf(1000,plain,((! [A:$i,B:$i]: ((((A = B) => (v0 = (vf @ A @ B))) & ((v0 = (vf @ A @ B)) => (A = B))) | ~ (? [C:$i]: ((C = B) & (rpoint @ C)) & ? [C:$i]: ((C = A) & (rpoint @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[118])). 18.05/6.97 thf(40,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((rpoint @ C) & (C != A))) <= ((rpoint @ B) & (B = A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(7), 0), imp(cond(axiom(7), 0)))')). 18.05/6.97 thf(438,plain,((! [A:$i,B:$i]: (? [C:$i]: ((rpoint @ C) & ~ (C = A)) | ~ ((rpoint @ B) & (B = A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])). 18.05/6.97 thf(39,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((D != C) & (ron @ D @ A) & ? [E:$i]: ((C = E) & (rpoint @ E)) & (A = B) & (rline @ B) & ? [E:$i]: ((rpoint @ E) & (D = E)) & (ron @ C @ A)) => (? [E:$i]: ((rpoint @ E) & (rR @ E @ C @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(23), 0), imp(cond(axiom(23), 0)))')). 18.05/6.97 thf(431,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (D = C) & (ron @ D @ A) & ? [E:$i]: ((C = E) & (rpoint @ E)) & (A = B) & (rline @ B) & ? [E:$i]: ((rpoint @ E) & (D = E)) & (ron @ C @ A)) => (? [E:$i]: ((rpoint @ E) & (rR @ E @ C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])). 18.05/6.97 thf(73,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((rS @ A @ C @ D) & ? [F:$i]: ((C = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((F = B) & (rpoint @ F)) & (rline @ E) & (E = D) & (rS @ A @ B @ D)) => (rS @ B @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))')). 18.05/6.97 thf(658,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((rS @ A @ C @ D) & ? [F:$i]: ((C = F) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((F = B) & (rpoint @ F)) & (rline @ E) & (E = D) & (rS @ A @ B @ D)) => (rS @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[73])). 18.05/6.97 thf(38,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((E = D) & (rline @ E) & ? [F:$i]: ((F = C) & (rpoint @ F)) & ? [F:$i]: ((A = F) & (rpoint @ F)) & ? [F:$i]: ((B = F) & (rpoint @ F)) & (rR @ B @ A @ C) & (ron @ A @ D) & ~ (ron @ B @ D)) => (rS @ B @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(107), 0), imp(cond(axiom(107), 0)))')). 18.05/6.97 thf(426,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((E = D) & (rline @ E) & ? [F:$i]: ((F = C) & (rpoint @ F)) & ? [F:$i]: ((A = F) & (rpoint @ F)) & ? [F:$i]: ((B = F) & (rpoint @ F)) & (rR @ B @ A @ C) & (ron @ A @ D) & ~ (ron @ B @ D)) => (rS @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])). 18.05/6.97 thf(107,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((rless @ (vf @ E @ G) @ (vf @ A @ C)) & (G != E) & (C != A) & (rpoint @ F) & (D = C) & (A = B) & (rpoint @ B) & (rpoint @ D) & (F = E) & (rpoint @ H) & (G = H)) => ((vf @ A @ (vskolem1120 @ A @ B @ C @ D @ E @ F @ G @ H)) = (vf @ E @ G))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)')). 18.05/6.97 thf(944,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((rless @ (vf @ E @ G) @ (vf @ A @ C)) & ~ (G = E) & ~ (C = A) & (rpoint @ F) & (D = C) & (A = B) & (rpoint @ B) & (rpoint @ D) & (F = E) & (rpoint @ H) & (G = H)) => ((vf @ A @ (vskolem1120 @ A @ B @ C @ D @ E @ F @ G @ H)) = (vf @ E @ G))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[107])). 18.05/6.97 thf(74,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((rless @ A @ C) & (rreal @ F) & (C = D) & (A = B) & (rreal @ B) & (rreal @ D) & (E = F)) => (rless @ (vplus @ A @ E) @ (vplus @ C @ E))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))')). 18.05/6.97 thf(663,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((rless @ A @ C) & (rreal @ F) & (C = D) & (A = B) & (rreal @ B) & (rreal @ D) & (E = F)) => (rless @ (vplus @ A @ E) @ (vplus @ C @ E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[74])). 18.05/6.97 thf(105,axiom,((? [A:$i]: ((rpoint @ A) & (vd1354 = A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(383)))')). 18.05/6.97 thf(927,plain,((? [A:$i]: ((rpoint @ A) & (vd1354 = A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[105])). 18.05/6.97 thf(36,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((rS @ F @ G @ A) & (ron @ G @ C) & (ron @ F @ C) & (ron @ D @ A) & ? [H:$i]: ((H = G) & (rpoint @ H)) & ? [H:$i]: ((rpoint @ H) & (H = E)) & ? [H:$i]: ((rline @ H) & (H = C)) & ? [H:$i]: ((H = B) & (rline @ H)) & ? [H:$i]: ((rline @ H) & (A = H)) & ? [H:$i]: ((D = H) & (rpoint @ H)) & ? [H:$i]: ((F = H) & (rpoint @ H)) & (ron @ D @ B) & (ron @ D @ C) & (ron @ E @ A) & (rS @ E @ F @ C)) => (~ (rS @ E @ G @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(113), 0), imp(cond(axiom(113), 0)))')). 18.05/6.97 thf(414,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((rS @ F @ G @ A) & (ron @ G @ C) & (ron @ F @ C) & (ron @ D @ A) & ? [H:$i]: ((H = G) & (rpoint @ H)) & ? [H:$i]: ((rpoint @ H) & (H = E)) & ? [H:$i]: ((rline @ H) & (H = C)) & ? [H:$i]: ((H = B) & (rline @ H)) & ? [H:$i]: ((rline @ H) & (A = H)) & ? [H:$i]: ((D = H) & (rpoint @ H)) & ? [H:$i]: ((F = H) & (rpoint @ H)) & (ron @ D @ B) & (ron @ D @ C) & (ron @ E @ A) & (rS @ E @ F @ C)) => (~ (rS @ E @ G @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])). 18.05/6.97 thf(81,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((ron @ B @ D) <= ((ron @ A @ D) & (rR @ B @ A @ C) & ? [F:$i]: ((rpoint @ F) & (C = F)) & ? [F:$i]: ((rpoint @ F) & (F = B)) & ? [F:$i]: ((A = F) & (rpoint @ F)) & (rline @ E) & (ron @ C @ D) & (D = E))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))')). 18.05/6.97 thf(739,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((ron @ B @ D) | ~ ((ron @ A @ D) & (rR @ B @ A @ C) & ? [F:$i]: ((rpoint @ F) & (C = F)) & ? [F:$i]: ((rpoint @ F) & (F = B)) & ? [F:$i]: ((A = F) & (rpoint @ F)) & (rline @ E) & (ron @ C @ D) & (D = E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[81])). 18.05/6.97 thf(60,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((~ (ron @ B @ D) & ~ (ron @ B @ D)) <= ((rR @ C @ A @ B) & ~ (rinside @ C @ D) & (rcircle @ E) & ? [F:$i]: ((rpoint @ F) & (F = C)) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((B = F) & (rpoint @ F)) & (E = D) & ((rinside @ A @ D) | (ron @ A @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))')). 18.05/6.97 thf(585,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (ron @ B @ D) | ~ ((rR @ C @ A @ B) & ~ (rinside @ C @ D) & (rcircle @ E) & ? [F:$i]: ((rpoint @ F) & (F = C)) & ? [F:$i]: ((rpoint @ F) & (A = F)) & ? [F:$i]: ((B = F) & (rpoint @ F)) & (E = D) & ((rinside @ A @ D) | (ron @ A @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[60])). 18.05/6.97 thf(27,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((ron @ B @ C) & (rcircle @ C) & (rcenter @ A @ C))) <= ((B != A) & ? [C:$i]: ((rpoint @ C) & (C = B)) & ? [C:$i]: ((C = A) & (rpoint @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))')). 18.05/6.97 thf(338,plain,((! [A:$i,B:$i]: (? [C:$i]: ((ron @ B @ C) & (rcircle @ C) & (rcenter @ A @ C)) | ~ (~ (B = A) & ? [C:$i]: ((rpoint @ C) & (C = B)) & ? [C:$i]: ((C = A) & (rpoint @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])). 18.05/6.97 thf(58,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rless @ A @ C) & (C = D) & (rreal @ D) & (rreal @ B) & (A = B)) => (~ (rless @ C @ A) | (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))')). 18.05/6.97 thf(576,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rless @ A @ C) & (C = D) & (rreal @ D) & (rreal @ B) & (A = B)) => (~ (rless @ C @ A) | (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[58])). 18.05/6.97 thf(101,axiom,((! [A:$i,B:$i]: ((! [C:$i,D:$i]: (((vf @ A @ B) = (vf @ C @ (vskolem1078 @ C @ D @ A @ B))) <= ((rpoint @ D) & (A != C) & (B != C) & (D = C)))) <= ((B != A) & ? [C:$i]: ((rpoint @ C) & (A = C)) & ? [C:$i]: ((rpoint @ C) & (B = C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 0)')). 18.05/6.97 thf(907,plain,((! [A:$i,B:$i]: (! [C:$i,D:$i]: (((vf @ A @ B) = (vf @ C @ (vskolem1078 @ C @ D @ A @ B))) | ~ ((rpoint @ D) & ~ (A = C) & ~ (B = C) & (D = C))) | ~ (~ (B = A) & ? [C:$i]: ((rpoint @ C) & (A = C)) & ? [C:$i]: ((rpoint @ C) & (B = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[101])). 18.05/6.97 thf(82,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((ron @ C @ A) & (rpoint @ D) & (rcircle @ B) & (A = B) & (D = C)) => (? [E:$i]: ((E != C) & (ron @ E @ A) & (rpoint @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(43), 0), imp(cond(axiom(43), 0)))')). 18.05/6.97 thf(744,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((ron @ C @ A) & (rpoint @ D) & (rcircle @ B) & (A = B) & (D = C)) => (? [E:$i]: (~ (E = C) & (ron @ E @ A) & (rpoint @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[82])). 18.05/6.97 thf(72,axiom,((v0 = vd684)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)')). 18.05/6.97 thf(656,plain,((v0 = vd684)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[72])). 18.05/6.97 thf(41,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((rpoint @ C) & (C = A)) & ? [C:$i]: ((B = C) & (rpoint @ C))) => (? [C:$i]: ((A != C) & (rpoint @ C) & (B != C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(9), 0), imp(cond(axiom(9), 0)))')). 18.05/6.97 thf(446,plain,((! [A:$i,B:$i]: ((? [C:$i]: ((rpoint @ C) & (C = A)) & ? [C:$i]: ((B = C) & (rpoint @ C))) => (? [C:$i]: (~ (A = C) & (rpoint @ C) & ~ (B = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])). 18.05/6.97 thf(16,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((rpoint @ C) & (ron @ C @ A))) <= ((A = B) & (rline @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(15), 0), imp(cond(axiom(15), 0)))')). 18.05/6.97 thf(250,plain,((! [A:$i,B:$i]: (? [C:$i]: ((rpoint @ C) & (ron @ C @ A)) | ~ ((A = B) & (rline @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])). 18.05/6.97 thf(68,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((D = E) & ? [F:$i]: ((F = C) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (F = B)) & ? [F:$i]: ((F = A) & (rpoint @ F)) & (rline @ E) & (rR @ B @ A @ C) & (ron @ B @ D)) => (~ (rS @ A @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))')). 18.05/6.97 thf(627,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((D = E) & ? [F:$i]: ((F = C) & (rpoint @ F)) & ? [F:$i]: ((rpoint @ F) & (F = B)) & ? [F:$i]: ((F = A) & (rpoint @ F)) & (rline @ E) & (rR @ B @ A @ C) & (ron @ B @ D)) => (~ (rS @ A @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[68])). 18.05/6.97 thf(31,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((? [E:$i]: ((rpoint @ E) & (B = E)) & ? [E:$i]: ((rpoint @ E) & (E = A)) & ? [E:$i]: ((C = E) & (rcircle @ E)) & ? [E:$i]: ((E = D) & (rcircle @ E)) & ((rinside @ A @ C) | (ron @ A @ C)) & ((rinside @ B @ C) | (ron @ B @ C)) & ~ (? [E:$i]: (rS @ A @ B @ E))) => (? [E:$i]: (rintersect @ E @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(129), 0), imp(cond(axiom(129), 0)))')). 18.05/6.97 thf(363,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((? [E:$i]: ((rpoint @ E) & (B = E)) & ? [E:$i]: ((rpoint @ E) & (E = A)) & ? [E:$i]: ((C = E) & (rcircle @ E)) & ? [E:$i]: ((E = D) & (rcircle @ E)) & ((rinside @ A @ C) | (ron @ A @ C)) & ((rinside @ B @ C) | (ron @ B @ C)) & ~ (? [E:$i]: (rS @ A @ B @ E))) => (? [E:$i]: (rintersect @ E @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])). 18.05/6.97 thf(106,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((~ (? [G:$i]: ((rline @ G) & (ron @ D @ G) & (ron @ E @ G) & (ron @ F @ G))) & ((vangle @ B @ A @ C) = (vangle @ E @ D @ F)) & ((vf @ D @ E) = (vf @ A @ B)) & ? [G:$i]: ((G = E) & (rpoint @ G)) & (A != B) & ? [G:$i]: ((G = A) & (rpoint @ G)) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((G = C) & (rpoint @ G)) & (A != C) & (B != C) & ? [G:$i]: ((rpoint @ G) & (D = G)) & ? [G:$i]: ((F = G) & (rpoint @ G)) & ((vf @ A @ C) = (vf @ D @ F))) => ((vangle @ D @ F @ E) = (vangle @ A @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(264), 0), 0)')). 18.05/6.97 thf(931,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((~ (? [G:$i]: ((rline @ G) & (ron @ D @ G) & (ron @ E @ G) & (ron @ F @ G))) & ((vangle @ B @ A @ C) = (vangle @ E @ D @ F)) & ((vf @ D @ E) = (vf @ A @ B)) & ? [G:$i]: ((G = E) & (rpoint @ G)) & ~ (A = B) & ? [G:$i]: ((G = A) & (rpoint @ G)) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((G = C) & (rpoint @ G)) & ~ (A = C) & ~ (B = C) & ? [G:$i]: ((rpoint @ G) & (D = G)) & ? [G:$i]: ((F = G) & (rpoint @ G)) & ((vf @ A @ C) = (vf @ D @ F))) => ((vangle @ D @ F @ E) = (vangle @ A @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[106])). 18.05/6.97 thf(59,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rR @ C @ B @ D) & (rR @ B @ A @ C) & ? [E:$i]: ((E = C) & (rpoint @ E)) & ? [E:$i]: ((E = A) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (E = B)) & ? [E:$i]: ((D = E) & (rpoint @ E))) => (rR @ B @ A @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))')). 18.05/6.97 thf(581,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rR @ C @ B @ D) & (rR @ B @ A @ C) & ? [E:$i]: ((E = C) & (rpoint @ E)) & ? [E:$i]: ((E = A) & (rpoint @ E)) & ? [E:$i]: ((rpoint @ E) & (E = B)) & ? [E:$i]: ((D = E) & (rpoint @ E))) => (rR @ B @ A @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[59])). 18.05/6.97 thf(79,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((C != B) & ? [E:$i]: ((rpoint @ E) & (A = E)) & ? [E:$i]: ((rpoint @ E) & (E = B)) & ? [E:$i]: ((E = C) & (rpoint @ E)) & (B != A) & (A != C)) <= ((D = (vtriangle @ A @ B @ C)) & (rtriangle @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(3), 0), imp(cond(axiom(3), 0)))')). 18.05/6.97 thf(699,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (C = B) & ? [E:$i]: ((rpoint @ E) & (A = E)) & ? [E:$i]: ((rpoint @ E) & (E = B)) & ? [E:$i]: ((E = C) & (rpoint @ E)) & ~ (B = A) & ~ (A = C)) | ~ ((D = (vtriangle @ A @ B @ C)) & (rtriangle @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[79])). 18.05/6.97 thf(111,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: ((rpoint @ (vskolem1120 @ A @ B @ C @ D @ E @ F @ G @ H)) <= ((rless @ (vf @ E @ G) @ (vf @ A @ C)) & (G != E) & (rpoint @ F) & (D = C) & (rpoint @ D) & (rpoint @ B) & (B = A) & (E = F) & (rpoint @ H) & (H = G) & (C != A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)')). 18.05/6.97 thf(963,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: ((rpoint @ (vskolem1120 @ A @ B @ C @ D @ E @ F @ G @ H)) | ~ ((rless @ (vf @ E @ G) @ (vf @ A @ C)) & ~ (G = E) & (rpoint @ F) & (D = C) & (rpoint @ D) & (rpoint @ B) & (B = A) & (E = F) & (rpoint @ H) & (H = G) & ~ (C = A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[111])). 18.05/6.97 thf(17,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((ron @ F @ C) & (rcenter @ E @ A) & (rintersect @ A @ B) & (rline @ D) & ? [H:$i]: ((H = B) & (rcircle @ H)) & ? [H:$i]: ((rcircle @ H) & (A = H)) & (D = C) & (rcenter @ F @ B) & (ron @ E @ C) & ~ (ron @ G @ C)) => (? [H:$i]: (~ (rS @ H @ G @ C) & (ron @ H @ A) & (rpoint @ H) & (ron @ H @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(71), 0), imp(cond(axiom(71), 0)))')). 18.05/6.97 thf(258,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((ron @ F @ C) & (rcenter @ E @ A) & (rintersect @ A @ B) & (rline @ D) & ? [H:$i]: ((H = B) & (rcircle @ H)) & ? [H:$i]: ((rcircle @ H) & (A = H)) & (D = C) & (rcenter @ F @ B) & (ron @ E @ C) & ~ (ron @ G @ C)) => (? [H:$i]: (~ (rS @ H @ G @ C) & (ron @ H @ A) & (rpoint @ H) & (ron @ H @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])). 18.05/6.97 thf(33,axiom,((! [A:$i,B:$i]: ((? [C:$i,D:$i]: ((B = D) & (rcircle @ D) & (rpoint @ C) & (A = C))) <= (rcenter @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))')). 18.05/6.97 thf(390,plain,((! [A:$i,B:$i]: (? [C:$i,D:$i]: ((B = D) & (rcircle @ D) & (rpoint @ C) & (A = C)) | ~ (rcenter @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])). 18.05/6.97 thf(6,axiom,((! [A:$i,B:$i]: ((~ (rless @ A @ A)) <= ((B = A) & (rreal @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))')). 18.05/6.97 thf(186,plain,((! [A:$i,B:$i]: (~ (rless @ A @ A) | ~ ((B = A) & (rreal @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 18.05/6.97 thf(69,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((ron @ B @ E) & ? [F:$i]: ((E = F) & (rline @ F)) & (A != B) & ? [F:$i]: ((rpoint @ F) & (F = B)) & ? [F:$i]: ((rpoint @ F) & (F = A)) & ? [F:$i]: ((rpoint @ F) & (F = C)) & (C != A) & (B != C) & ? [F:$i]: ((D = F) & (rline @ F)) & (D != E) & (ron @ A @ E) & (ron @ C @ E) & ~ (rS @ A @ C @ D) & (ron @ B @ D)) => (rR @ B @ A @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(111), 0), imp(cond(axiom(111), 0)))')). 18.05/6.97 thf(632,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((ron @ B @ E) & ? [F:$i]: ((E = F) & (rline @ F)) & ~ (A = B) & ? [F:$i]: ((rpoint @ F) & (F = B)) & ? [F:$i]: ((rpoint @ F) & (F = A)) & ? [F:$i]: ((rpoint @ F) & (F = C)) & ~ (C = A) & ~ (B = C) & ? [F:$i]: ((D = F) & (rline @ F)) & ~ (D = E) & (ron @ A @ E) & (ron @ C @ E) & ~ (rS @ A @ C @ D) & (ron @ B @ D)) => (rR @ B @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[69])). 18.05/6.97 thf(37,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((((vangle @ A @ C @ D) = vperp) <=> ((vangle @ A @ C @ D) = (vangle @ D @ C @ B))) <= (~ (ron @ D @ E) & (rR @ C @ A @ B) & (F = E) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (G = A)) & ? [G:$i]: ((C = G) & (rpoint @ G)) & ? [G:$i]: ((G = D) & (rpoint @ G)) & (rline @ F))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(192), 0), imp(cond(axiom(192), 0)))')). 18.05/6.97 thf(418,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((((vangle @ A @ C @ D) = vperp) => ((vangle @ A @ C @ D) = (vangle @ D @ C @ B))) & (((vangle @ A @ C @ D) = (vangle @ D @ C @ B)) => ((vangle @ A @ C @ D) = vperp))) | ~ (~ (ron @ D @ E) & (rR @ C @ A @ B) & (F = E) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (G = A)) & ? [G:$i]: ((C = G) & (rpoint @ G)) & ? [G:$i]: ((G = D) & (rpoint @ G)) & (rline @ F))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[37])). 18.05/6.97 thf(57,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((B != C) & (ron @ D @ H) & (ron @ C @ H) & (ron @ B @ G) & (ron @ B @ F) & (ron @ A @ F) & ? [I:$i]: ((I = H) & (rline @ I)) & ? [I:$i]: ((I = G) & (rline @ I)) & ? [I:$i]: ((I = F) & (rline @ I)) & ? [I:$i]: ((I = A) & (rpoint @ I)) & ? [I:$i]: ((rpoint @ I) & (B = I)) & ? [I:$i]: ((C = I) & (rpoint @ I)) & ? [I:$i]: ((D = I) & (rpoint @ I)) & ? [I:$i]: ((I = E) & (rpoint @ I)) & (ron @ C @ G) & (rS @ A @ D @ G) & (rless @ (vplus @ (vangle @ A @ B @ C) @ (vangle @ B @ C @ D)) @ (vplus @ vperp @ vperp))) => ((rintersect @ F @ G) & (((ron @ E @ F) & (ron @ E @ G)) => (rS @ E @ A @ G)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(196), 0), imp(cond(axiom(196), 0)))')). 18.05/6.97 thf(568,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: ((~ (B = C) & (ron @ D @ H) & (ron @ C @ H) & (ron @ B @ G) & (ron @ B @ F) & (ron @ A @ F) & ? [I:$i]: ((I = H) & (rline @ I)) & ? [I:$i]: ((I = G) & (rline @ I)) & ? [I:$i]: ((I = F) & (rline @ I)) & ? [I:$i]: ((I = A) & (rpoint @ I)) & ? [I:$i]: ((rpoint @ I) & (B = I)) & ? [I:$i]: ((C = I) & (rpoint @ I)) & ? [I:$i]: ((D = I) & (rpoint @ I)) & ? [I:$i]: ((I = E) & (rpoint @ I)) & (ron @ C @ G) & (rS @ A @ D @ G) & (rless @ (vplus @ (vangle @ A @ B @ C) @ (vangle @ B @ C @ D)) @ (vplus @ vperp @ vperp))) => ((rintersect @ F @ G) & (((ron @ E @ F) & (ron @ E @ G)) => (rS @ E @ A @ G)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[57])). 18.05/6.97 thf(92,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((C = D) & (E = F) & (rS @ E @ C @ A) & (rpoint @ F) & (B = A) & (rline @ B) & (rpoint @ D) & ~ (ron @ C @ A)) => (? [G:$i]: ((G != C) & (rS @ G @ C @ A) & (rpoint @ G) & (G != E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(35), 0), imp(cond(axiom(35), 0)))')). 18.05/6.97 thf(832,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((C = D) & (E = F) & (rS @ E @ C @ A) & (rpoint @ F) & (B = A) & (rline @ B) & (rpoint @ D) & ~ (ron @ C @ A)) => (? [G:$i]: (~ (G = C) & (rS @ G @ C @ A) & (rpoint @ G) & ~ (G = E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[92])). 18.05/6.97 thf(65,axiom,((rpoint @ vd14)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(5), 0)')). 18.05/6.97 thf(620,plain,((rpoint @ vd14)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[65])). 18.05/6.97 thf(112,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((((vangle @ B @ A @ C) = (vangle @ E @ D @ F)) & ? [G:$i]: ((G = F) & (rpoint @ G)) & (B != C) & ? [G:$i]: ((C = G) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (G = B)) & ? [G:$i]: ((rpoint @ G) & (G = A)) & (A != B) & (C != A) & ? [G:$i]: ((rpoint @ G) & (G = D)) & ? [G:$i]: ((rpoint @ G) & (G = E)) & ((vf @ D @ E) = (vf @ A @ B)) & ((vf @ D @ F) = (vf @ A @ C)) & ~ (? [G:$i]: ((ron @ F @ G) & (ron @ E @ G) & (rline @ G) & (ron @ D @ G)))) => ((vf @ B @ C) = (vf @ E @ F))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(264), 0), 2)')). 18.05/6.97 thf(967,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((((vangle @ B @ A @ C) = (vangle @ E @ D @ F)) & ? [G:$i]: ((G = F) & (rpoint @ G)) & ~ (B = C) & ? [G:$i]: ((C = G) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (G = B)) & ? [G:$i]: ((rpoint @ G) & (G = A)) & ~ (A = B) & ~ (C = A) & ? [G:$i]: ((rpoint @ G) & (G = D)) & ? [G:$i]: ((rpoint @ G) & (G = E)) & ((vf @ D @ E) = (vf @ A @ B)) & ((vf @ D @ F) = (vf @ A @ C)) & ~ (? [G:$i]: ((ron @ F @ G) & (ron @ E @ G) & (rline @ G) & (ron @ D @ G)))) => ((vf @ B @ C) = (vf @ E @ F))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[112])). 18.05/6.97 thf(62,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (rinside @ B @ D) & (rinside @ A @ D) & ((ron @ B @ C) | (rinside @ B @ C)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((rcircle @ E) & (C = E)) & ? [E:$i]: ((D = E) & (rcircle @ E)) & (ron @ A @ C) & ~ (ron @ B @ D)) => (rintersect @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(133), 0), imp(cond(axiom(133), 0)))')). 18.05/6.97 thf(603,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((~ (rinside @ B @ D) & (rinside @ A @ D) & ((ron @ B @ C) | (rinside @ B @ C)) & ? [E:$i]: ((B = E) & (rpoint @ E)) & ? [E:$i]: ((A = E) & (rpoint @ E)) & ? [E:$i]: ((rcircle @ E) & (C = E)) & ? [E:$i]: ((D = E) & (rcircle @ E)) & (ron @ A @ C) & ~ (ron @ B @ D)) => (rintersect @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[62])). 18.05/6.97 thf(56,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((rS @ G @ H @ B) & (rS @ E @ F @ C) & (ron @ G @ C) & (ron @ E @ A) & (ron @ D @ A) & ? [I:$i]: ((rpoint @ I) & (I = E)) & ? [I:$i]: ((D = I) & (rpoint @ I)) & ? [I:$i]: ((I = C) & (rline @ I)) & ? [I:$i]: ((I = B) & (rline @ I)) & ? [I:$i]: ((A = I) & (rline @ I)) & ? [I:$i]: ((rpoint @ I) & (I = F)) & ? [I:$i]: ((rpoint @ I) & (I = G)) & (ron @ D @ B) & (ron @ D @ C) & (ron @ F @ B) & (rS @ F @ G @ A) & (rS @ F @ H @ C)) => (rS @ F @ H @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(117), 0), imp(cond(axiom(117), 0)))')). 18.05/6.97 thf(564,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 @ E @ A) & (ron @ D @ A) & ? [I:$i]: ((rpoint @ I) & (I = E)) & ? [I:$i]: ((D = I) & (rpoint @ I)) & ? [I:$i]: ((I = C) & (rline @ I)) & ? [I:$i]: ((I = B) & (rline @ I)) & ? [I:$i]: ((A = I) & (rline @ I)) & ? [I:$i]: ((rpoint @ I) & (I = F)) & ? [I:$i]: ((rpoint @ I) & (I = G)) & (ron @ D @ B) & (ron @ D @ C) & (ron @ F @ B) & (rS @ F @ G @ A) & (rS @ F @ H @ C)) => (rS @ F @ H @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])). 18.05/6.97 thf(21,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((F = E) & (rS @ G @ C @ A) & (rpoint @ F) & (rline @ B) & (A = B) & (rpoint @ D) & ~ (ron @ C @ A) & (rS @ E @ C @ A) & (rpoint @ H) & (H = G) & (D = C)) => (? [I:$i]: ((I != G) & (E != I) & (C != I) & (rpoint @ I) & (rS @ I @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(37), 0), imp(cond(axiom(37), 0)))')). 18.05/6.97 thf(294,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((F = E) & (rS @ G @ C @ A) & (rpoint @ F) & (rline @ B) & (A = B) & (rpoint @ D) & ~ (ron @ C @ A) & (rS @ E @ C @ A) & (rpoint @ H) & (H = G) & (D = C)) => (? [I:$i]: (~ (I = G) & ~ (E = I) & ~ (C = I) & (rpoint @ I) & (rS @ I @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])). 18.05/6.97 thf(30,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: ((rR @ A @ B @ C) <= ((C != B) & (ron @ C @ F) & (ron @ C @ D) & (ron @ A @ D) & (F = G) & (rcircle @ G) & (rline @ E) & ? [H:$i]: ((H = C) & (rpoint @ H)) & ? [H:$i]: ((rpoint @ H) & (H = A)) & ? [H:$i]: ((rpoint @ H) & (H = B)) & (E = D) & (ron @ B @ D) & (rinside @ A @ F) & (ron @ B @ F))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))')). 18.05/6.97 thf(358,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: ((rR @ A @ B @ C) | ~ (~ (C = B) & (ron @ C @ F) & (ron @ C @ D) & (ron @ A @ D) & (F = G) & (rcircle @ G) & (rline @ E) & ? [H:$i]: ((H = C) & (rpoint @ H)) & ? [H:$i]: ((rpoint @ H) & (H = A)) & ? [H:$i]: ((rpoint @ H) & (H = B)) & (E = D) & (ron @ B @ D) & (rinside @ A @ F) & (ron @ B @ F))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])). 18.05/6.97 thf(123,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((vg @ D @ E @ F) = (vg @ A @ B @ C)) <= (((vangle @ C @ A @ B) = (vangle @ F @ D @ E)) & ((vangle @ D @ E @ F) = (vangle @ A @ B @ C)) & ((vf @ F @ D) = (vf @ C @ A)) & ? [G:$i]: ((D = G) & (rpoint @ G)) & ? [G:$i]: ((G = C) & (rpoint @ G)) & ? [G:$i]: ((A = G) & (rpoint @ G)) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (E = G)) & ? [G:$i]: ((F = G) & (rpoint @ G)) & ((vf @ A @ B) = (vf @ D @ E)) & ((vf @ B @ C) = (vf @ E @ F)) & ((vangle @ E @ F @ D) = (vangle @ B @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(178), 0), imp(cond(axiom(178), 0)))')). 18.05/6.97 thf(1033,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((vg @ D @ E @ F) = (vg @ A @ B @ C)) | ~ (((vangle @ C @ A @ B) = (vangle @ F @ D @ E)) & ((vangle @ D @ E @ F) = (vangle @ A @ B @ C)) & ((vf @ F @ D) = (vf @ C @ A)) & ? [G:$i]: ((D = G) & (rpoint @ G)) & ? [G:$i]: ((G = C) & (rpoint @ G)) & ? [G:$i]: ((A = G) & (rpoint @ G)) & ? [G:$i]: ((G = B) & (rpoint @ G)) & ? [G:$i]: ((rpoint @ G) & (E = G)) & ? [G:$i]: ((F = G) & (rpoint @ G)) & ((vf @ A @ B) = (vf @ D @ E)) & ((vf @ B @ C) = (vf @ E @ F)) & ((vangle @ E @ F @ D) = (vangle @ B @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[123])). 18.05/6.97 thf(91,axiom,((! [A:$i,B:$i]: ((v0 = (vg @ A @ A @ B)) <= (? [C:$i]: ((rpoint @ C) & (A = C)) & ? [C:$i]: ((rpoint @ C) & (C = B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))')). 18.05/6.97 thf(828,plain,((! [A:$i,B:$i]: ((v0 = (vg @ A @ A @ B)) | ~ (? [C:$i]: ((rpoint @ C) & (A = C)) & ? [C:$i]: ((rpoint @ C) & (C = B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[91])). 18.05/6.97 thf(109,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((E != G) & (C != A) & (rpoint @ H) & (C = D) & (rpoint @ D) & (rpoint @ B) & (A = B) & (rpoint @ F) & (E = F) & (G = H) & (rless @ (vf @ E @ G) @ (vf @ A @ C))) => (rR @ (vskolem1120 @ A @ B @ C @ D @ E @ F @ G @ H) @ A @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)')). 18.05/6.97 thf(955,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: ((~ (E = G) & ~ (C = A) & (rpoint @ H) & (C = D) & (rpoint @ D) & (rpoint @ B) & (A = B) & (rpoint @ F) & (E = F) & (G = H) & (rless @ (vf @ E @ G) @ (vf @ A @ C))) => (rR @ (vskolem1120 @ A @ B @ C @ D @ E @ F @ G @ H) @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[109])). 18.05/6.97 thf(127,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((ron @ E @ D) & (E = F) & (rcenter @ C @ D) & (A = B) & (rpoint @ B) & (rpoint @ F)) => ((ron @ A @ D) <=> ((vf @ C @ E) = (vf @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))')). 18.05/6.97 thf(1093,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((ron @ E @ D) & (E = F) & (rcenter @ C @ D) & (A = B) & (rpoint @ B) & (rpoint @ F)) => (((ron @ A @ D) => ((vf @ C @ E) = (vf @ C @ A))) & (((vf @ C @ E) = (vf @ C @ A)) => (ron @ A @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[127])). 18.05/6.97 thf(80,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((? [G:$i]: ((rR @ D @ C @ G) & (rpoint @ G) & (E != G))) <= ((rpoint @ F) & (ron @ D @ A) & (ron @ C @ A) & ? [G:$i]: ((rpoint @ G) & (D = G)) & ? [G:$i]: ((rpoint @ G) & (C = G)) & (rline @ B) & (B = A) & (rR @ D @ C @ E) & (E = F))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(31), 0), imp(cond(axiom(31), 0)))')). 18.05/6.97 thf(728,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (? [G:$i]: ((rR @ D @ C @ G) & (rpoint @ G) & ~ (E = G)) | ~ ((rpoint @ F) & (ron @ D @ A) & (ron @ C @ A) & ? [G:$i]: ((rpoint @ G) & (D = G)) & ? [G:$i]: ((rpoint @ G) & (C = G)) & (rline @ B) & (B = A) & (rR @ D @ C @ E) & (E = F))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[80])). 18.05/6.97 thf(116,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((D = C) & (rpoint @ D) & (rpoint @ B) & (B = A) & (C != A)) => ((vf @ C @ (vskolem1052 @ A @ B @ C @ D)) = (vf @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 1)')). 18.05/6.97 thf(992,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((D = C) & (rpoint @ D) & (rpoint @ B) & (B = A) & ~ (C = A)) => ((vf @ C @ (vskolem1052 @ A @ B @ C @ D)) = (vf @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[116])). 18.05/6.97 thf(5,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((rintersect @ C @ A) & (rcircle @ B) & (B = A) & (rline @ D) & (D = C)) => (? [E:$i,F:$i]: ((ron @ F @ C) & (rpoint @ F) & (ron @ E @ A) & (ron @ E @ C) & (rpoint @ E) & (ron @ F @ A) & (F != E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(59), 0), imp(cond(axiom(59), 0)))')). 18.05/6.97 thf(163,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((rintersect @ C @ A) & (rcircle @ B) & (B = A) & (rline @ D) & (D = C)) => (? [E:$i,F:$i]: ((ron @ F @ C) & (rpoint @ F) & (ron @ E @ A) & (ron @ E @ C) & (rpoint @ E) & (ron @ F @ A) & ~ (F = E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 18.05/6.97 thf(11,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((rgeq @ (vg @ A @ C @ E) @ v0) <= ((F = E) & (rpoint @ F) & (B = A) & (rpoint @ B) & (rpoint @ D) & (C = D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(174), 0), imp(cond(axiom(174), 0)))')). 18.05/6.97 thf(227,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((rgeq @ (vg @ A @ C @ E) @ v0) | ~ ((F = E) & (rpoint @ F) & (B = A) & (rpoint @ B) & (rpoint @ D) & (C = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 18.05/6.97 thf(89,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((G != E) & (ron @ G @ C) & (rinside @ E @ A) & (F = E) & (rpoint @ F) & (rcircle @ B) & (A = B) & (rline @ D) & (D = C) & (ron @ E @ C) & (rpoint @ H) & (H = G)) => (? [I:$i]: ((rpoint @ I) & (ron @ I @ A) & (ron @ I @ C) & (rR @ E @ I @ G)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(63), 0), imp(cond(axiom(63), 0)))')). 18.05/6.97 thf(803,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: ((~ (G = E) & (ron @ G @ C) & (rinside @ E @ A) & (F = E) & (rpoint @ F) & (rcircle @ B) & (A = B) & (rline @ D) & (D = C) & (ron @ E @ C) & (rpoint @ H) & (H = G)) => (? [I:$i]: ((rpoint @ I) & (ron @ I @ A) & (ron @ I @ C) & (rR @ E @ I @ G)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[89])). 18.05/6.97 thf(124,axiom,((vd1352 != vd1353)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 7)')). 18.05/6.97 thf(1037,plain,((~ (vd1352 = vd1353))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[124])). 18.05/6.97 thf(55,axiom,((! [A:$i,B:$i,C:$i]: (((vangle @ A @ B @ C) = (vangle @ C @ B @ A)) <= ((A != C) & ? [D:$i]: ((C = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (D = B)) & ? [D:$i]: ((rpoint @ D) & (A = D)) & (A != B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))')). 18.05/6.97 thf(560,plain,((! [A:$i,B:$i,C:$i]: (((vangle @ A @ B @ C) = (vangle @ C @ B @ A)) | ~ (~ (A = C) & ? [D:$i]: ((C = D) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (D = B)) & ? [D:$i]: ((rpoint @ D) & (A = D)) & ~ (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[55])). 18.05/6.97 thf(83,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: ((((vangle @ C @ A @ E) = v0) <=> (~ (rR @ A @ C @ E) & (ron @ E @ G))) <= ((A != E) & (C != A) & (rline @ H) & (E = F) & (rpoint @ F) & (rpoint @ D) & (rpoint @ B) & (B = A) & (C = D) & (G = H) & (ron @ A @ G) & (ron @ C @ G))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))')). 18.05/6.97 thf(755,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (((((vangle @ C @ A @ E) = v0) => (~ (rR @ A @ C @ E) & (ron @ E @ G))) & ((~ (rR @ A @ C @ E) & (ron @ E @ G)) => ((vangle @ C @ A @ E) = v0))) | ~ (~ (A = E) & ~ (C = A) & (rline @ H) & (E = F) & (rpoint @ F) & (rpoint @ D) & (rpoint @ B) & (B = A) & (C = D) & (G = H) & (ron @ A @ G) & (ron @ C @ G))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[83])). 18.05/6.97 thf(76,axiom,((! [A:$i,B:$i,C:$i]: (((rR @ B @ A @ C) & ? [D:$i]: ((D = C) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (D = A)) & ? [D:$i]: ((B = D) & (rpoint @ D))) => (~ (rR @ A @ B @ C) & (C != A) & (B != A) & (rR @ B @ C @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))')). 18.05/6.97 thf(676,plain,((! [A:$i,B:$i,C:$i]: (((rR @ B @ A @ C) & ? [D:$i]: ((D = C) & (rpoint @ D)) & ? [D:$i]: ((rpoint @ D) & (D = A)) & ? [D:$i]: ((B = D) & (rpoint @ D))) => (~ (rR @ A @ B @ C) & ~ (C = A) & ~ (B = A) & (rR @ B @ C @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[76])). 18.05/6.97 thf(47,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((? [E:$i]: ((C != E) & (ron @ E @ A) & (rpoint @ E) & (E != D))) <= (? [E:$i]: ((E = D) & (rpoint @ E)) & (rcircle @ B) & (B = A) & ? [E:$i]: ((rpoint @ E) & (E = C)) & (ron @ C @ A) & (ron @ D @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(45), 0), imp(cond(axiom(45), 0)))')). 18.05/6.97 thf(491,plain,((! [A:$i,B:$i,C:$i,D:$i]: (? [E:$i]: (~ (C = E) & (ron @ E @ A) & (rpoint @ E) & ~ (E = D)) | ~ (? [E:$i]: ((E = D) & (rpoint @ E)) & (rcircle @ B) & (B = A) & ? [E:$i]: ((rpoint @ E) & (E = C)) & (ron @ C @ A) & (ron @ D @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[47])). 18.05/6.97 thf(12,axiom,((rreal @ vd684)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 1)')). 18.05/6.97 thf(232,plain,((rreal @ vd684)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 18.05/6.97 thf(1101,plain,($false),inference(e,[status(thm)],[1024,846,555,276,898,782,504,817,284,770,152,316,216,475,789,1040,623,211,1020,348,353,480,766,774,988,527,233,920,534,334,894,862,916,467,329,522,889,456,324,948,615,980,593,610,471,642,637,984,911,128,508,311,398,689,904,1007,694,191,875,204,545,900,406,377,996,245,1043,271,621,240,1029,668,130,959,1000,438,431,658,426,944,663,927,414,739,585,338,576,907,744,656,446,250,627,363,931,581,699,963,258,390,186,632,418,568,832,620,967,603,564,294,358,1033,828,955,1093,728,992,163,227,803,1037,560,755,676,491,232])). 18.05/6.97 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 18.05/6.97 % [INFO] Killing All external provers ... 18.24/7.00 EOF