0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -Xss128m -Xmx4g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar %s -t %d -p --atp cvc4=/export/starexec/sandbox/solver/bin/externals/cvc4 --atp e=/export/starexec/sandbox/solver/bin/externals/eprover --atp iprover=/export/starexec/sandbox/solver/bin/externals/iprover 0.03/0.24 % Computer : n183.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 06:56:41 CDT 2018 0.03/0.24 % CPUTime : 2.61/1.49 % [INFO] Running in sequential loop mode. 3.34/1.72 % [CONFIG] Using configuration: timeout(300) with strategy 3.55/1.80 % [INFO] iprover registered as external prover. 3.55/1.80 % [INFO] e registered as external prover. 3.55/1.80 % [INFO] cvc4 registered as external prover. 3.55/1.80 % [INFO] Parsing finished. Scanning for conjecture ... 3.96/1.87 % [INFO] Found a conjecture and 200 axioms. Running axiom selection ... 4.22/1.97 % [INFO] Axiom selection finished. Selected 92 axioms (removed 108 axioms). 4.80/2.17 % [INFO] Type checking passed. Searching for refutation ... 9.88/3.82 % [INFO] Killing All external provers ... 10.01/3.83 % Time passed: 3498ms 10.01/3.83 % Effective reasoning time: 2332ms 10.01/3.83 % Solved by strategy 10.01/3.83 % Axioms used in derivation (92): aSatz8_8, aSatz3_4, aSatz2_13, aSatz7_2, aSatz2_3, aSatz6_16b, aSatz4_11d, aSatz3_1, aSatz10_2a, aSatz5_2, aExtCol2, aSatz6_15d, aA1, aext1, aSatz8_3, aSatz8_12b, aA5, aExtPerp2, aperp1, aSatz6_18, aExtPerp, aSatz8_7, aSatz7_3b, aSatz3_3, aSatz8_16b, aSatz3_5b, aSatz8_14a, aSatz4_11c, d_Defn4_10, aSatz5_1, aExtPerp6, aSatz4_19, aSatz8_21, aSatz8_18a, aLemma9_13b, aSatz3_5a, aSatz2_1, aSatz6_25, aSatz8_15, aA2, aSatz4_11b, aSatz10_2b, aSatz8_21a, aSatz2_5, aSatz3_6b, aExtPerp3, aA3, aSatz3_2, aLemma9_13g, aA6, aSatz3_6a, aNarbouxLemma1, aSatz8_22, aSatz6_17a, aSatz8_14b, aSatz4_3, d_Defn7_1, aExtPerp5, aSatz4_18, aSatz2_2, aSatz7_20, aSatz7_22, aSatz7_21, aSatz4_12b, aSatz2_15, aSatz4_11a, aSatz8_6, aSatz2_4, aSatz6_16a, aSatz3_7a, aSatz8_2, aSatz7_17, aSatz8_18, aSatz6_21, aSatz8_13b, aSatz8_12a, aSatz6_17b, aSatz7_4b, aSatz2_11, aSatz8_9, aSatz2_14, aSatz4_11e, aSatz4_12, aSatz8_24, aExtPerp4, aSatz8_16a, aSatz4_17, aSatz5_3, aSatz8_5, aSatz2_8, aSatz3_7b, aSatz7_3a 10.01/3.83 % No. of inferences in proof: 188 10.01/3.83 % No. of processed clauses: 1 10.01/3.83 % No. of generated clauses: 0 10.01/3.83 % No. of forward subsumed clauses: 0 10.01/3.83 % No. of backward subsumed clauses: 0 10.01/3.83 % No. of ground rewrite rules in store: 0 10.01/3.83 % No. of non-ground rewrite rules in store: 0 10.01/3.83 % No. of positive (non-rewrite) units in store: 0 10.01/3.83 % No. of negative (non-rewrite) units in store: 1 10.01/3.83 % No. of choice functions detected: 0 10.01/3.83 % No. of choice instantiations: 0 10.01/3.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3498 ms resp. 2332 ms w/o parsing 10.23/3.96 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 10.23/3.96 thf(reflect_type, type, reflect: ($i > ($i > ($i > $i)))). 10.23/3.96 thf(s_t_type, type, s_t: ($i > ($i > ($i > $o)))). 10.23/3.96 thf(s_e_type, type, s_e: ($i > ($i > ($i > ($i > $o))))). 10.23/3.96 thf(s_m_type, type, s_m: ($i > ($i > ($i > $o)))). 10.23/3.96 thf(s_col_type, type, s_col: ($i > ($i > ($i > $o)))). 10.23/3.96 thf(perpAt_type, type, perpAt: ($i > ($i > ($i > ($i > ($i > $o)))))). 10.23/3.96 thf(s_r_type, type, s_r: ($i > ($i > ($i > $o)))). 10.23/3.96 thf(perp_type, type, perp: ($i > ($i > ($i > ($i > $o))))). 10.23/3.96 thf(midpoint_type, type, midpoint: ($i > ($i > $i))). 10.23/3.96 thf(xa_type, type, xa: $i). 10.23/3.96 thf(xb_type, type, xb: $i). 10.23/3.96 thf(xp_type, type, xp: $i). 10.23/3.96 thf(xq_type, type, xq: $i). 10.23/3.96 thf(xc_type, type, xc: $i). 10.23/3.96 thf(xd_type, type, xd: $i). 10.23/3.96 thf(erect21a_type, type, erect21a: ($i > ($i > ($i > $i)))). 10.23/3.96 thf(erectAux21a_type, type, erectAux21a: ($i > ($i > ($i > $i)))). 10.23/3.96 thf(foot_type, type, foot: ($i > ($i > ($i > $i)))). 10.23/3.96 thf(pointOffLine_type, type, pointOffLine: ($i > ($i > $i))). 10.23/3.96 thf(erect_type, type, erect: ($i > ($i > ($i > $i)))). 10.23/3.96 thf(erectAux_type, type, erectAux: ($i > ($i > ($i > $i)))). 10.23/3.96 thf(80,axiom,((! [A:$i,B:$i]: (s_col @ A @ B @ A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_12b)). 10.23/3.96 thf(352,plain,((! [A:$i,B:$i]: (s_col @ A @ B @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[80])). 10.23/3.96 thf(8,axiom,((! [A:$i,B:$i,C:$i]: ((~ (s_t @ A @ B @ C) | (s_m @ A @ B @ C) | ~ (s_e @ B @ A @ B @ C)) & ((s_e @ B @ A @ B @ C) | ~ (s_m @ A @ B @ C)) & (~ (s_m @ A @ B @ C) | (s_t @ A @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn7_1)). 10.23/3.96 thf(115,plain,((! [A:$i,B:$i,C:$i]: ((~ (s_t @ A @ B @ C) | (s_m @ A @ B @ C) | ~ (s_e @ B @ A @ B @ C)) & ((s_e @ B @ A @ B @ C) | ~ (s_m @ A @ B @ C)) & (~ (s_m @ A @ B @ C) | (s_t @ A @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 10.23/3.96 thf(69,axiom,((! [A:$i,B:$i,C:$i]: (((perp @ A @ B @ (erect21a @ A @ B @ C) @ A) | (s_col @ A @ B @ C) | (B = A)) & ((B = A) | (s_col @ A @ B @ C) | (s_t @ C @ (erectAux21a @ A @ B @ C) @ (erect21a @ A @ B @ C))) & ((A = B) | (s_col @ A @ B @ (erectAux21a @ A @ B @ C)) | (s_col @ A @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_21a)). 10.23/3.96 thf(308,plain,((! [A:$i,B:$i,C:$i]: (((perp @ A @ B @ (erect21a @ A @ B @ C) @ A) | (s_col @ A @ B @ C) | (B = A)) & ((B = A) | (s_col @ A @ B @ C) | (s_t @ C @ (erectAux21a @ A @ B @ C) @ (erect21a @ A @ B @ C))) & ((A = B) | (s_col @ A @ B @ (erectAux21a @ A @ B @ C)) | (s_col @ A @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[69])). 10.23/3.96 thf(34,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ B @ C @ D) | (s_t @ A @ B @ D) | (B = C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_7b)). 10.23/3.96 thf(202,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ B @ C @ D) | (s_t @ A @ B @ D) | (B = C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])). 10.23/3.96 thf(87,axiom,((! [A:$i,B:$i,C:$i]: ((s_col @ C @ A @ B) | ~ (s_col @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11b)). 10.23/3.96 thf(384,plain,((! [A:$i,B:$i,C:$i]: ((s_col @ C @ A @ B) | ~ (s_col @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[87])). 10.23/3.96 thf(52,axiom,((! [A:$i,B:$i]: ((s_m @ A @ B @ A) | (A != B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_3b)). 10.23/3.96 thf(257,plain,((! [A:$i,B:$i]: ((s_m @ A @ B @ A) | ~ (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])). 10.23/3.96 thf(6,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (~ (s_m @ A @ F @ D) | ~ (s_m @ C @ G @ E) | (s_t @ F @ B @ G) | ~ (s_e @ B @ C @ B @ E) | ~ (s_e @ B @ A @ B @ D) | ~ (s_t @ D @ B @ E) | ~ (s_t @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22)). 10.23/3.96 thf(110,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (~ (s_m @ A @ F @ D) | ~ (s_m @ C @ G @ E) | (s_t @ F @ B @ G) | ~ (s_e @ B @ C @ B @ E) | ~ (s_e @ B @ A @ B @ D) | ~ (s_t @ D @ B @ E) | ~ (s_t @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 10.23/3.96 thf(32,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_m @ A @ B @ C) | (D = B) | ~ (s_m @ A @ D @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_17)). 10.23/3.96 thf(196,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_m @ A @ B @ C) | (D = B) | ~ (s_m @ A @ D @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])). 10.23/3.96 thf(30,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((B = A) | ~ (s_t @ A @ B @ C) | (s_t @ A @ D @ C) | (s_t @ A @ C @ D) | ~ (s_t @ A @ B @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_1)). 10.23/3.96 thf(189,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((B = A) | ~ (s_t @ A @ B @ C) | (s_t @ A @ D @ C) | (s_t @ A @ C @ D) | ~ (s_t @ A @ B @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])). 10.23/3.96 thf(19,axiom,((! [A:$i,B:$i]: (s_e @ A @ A @ B @ B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_8)). 10.23/3.96 thf(152,plain,((! [A:$i,B:$i]: (s_e @ A @ A @ B @ B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])). 10.23/3.96 thf(62,axiom,((~ (s_col @ xa @ xb @ xp) | (xp = xq) | (xa = xb) | (perp @ xc @ xd @ xp @ xq) | ~ (perp @ xc @ xd @ xa @ xb) | ~ (s_col @ xa @ xb @ xq))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp6)). 10.23/3.96 thf(289,plain,((~ (s_col @ xa @ xb @ xp) | (xp = xq) | (xa = xb) | (perp @ xc @ xd @ xp @ xq) | ~ (perp @ xc @ xd @ xa @ xb) | ~ (s_col @ xa @ xb @ xq))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[62])). 10.23/3.96 thf(53,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (s_col @ A @ B @ C) | (s_col @ A @ B @ D) | ~ (s_col @ A @ B @ E) | ~ (s_m @ C @ D @ E) | (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLemma9_13b)). 10.23/3.96 thf(261,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (s_col @ A @ B @ C) | (s_col @ A @ B @ D) | ~ (s_col @ A @ B @ E) | ~ (s_m @ C @ D @ E) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[53])). 10.23/3.96 thf(38,axiom,((! [A:$i,B:$i,C:$i]: ((s_r @ C @ B @ A) | ~ (s_r @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_2)). 10.23/3.96 thf(216,plain,((! [A:$i,B:$i,C:$i]: ((s_r @ C @ B @ A) | ~ (s_r @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])). 10.23/3.96 thf(71,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (s_col @ A @ B @ E) | ~ (s_col @ C @ D @ E) | (perpAt @ A @ B @ E @ C @ D) | ~ (perp @ A @ B @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_14b)). 10.23/3.96 thf(321,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (s_col @ A @ B @ E) | ~ (s_col @ C @ D @ E) | (perpAt @ A @ B @ E @ C @ D) | ~ (perp @ A @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[71])). 10.23/3.96 thf(50,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ A @ C @ D) | (s_t @ B @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_6a)). 10.23/3.96 thf(253,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ A @ C @ D) | (s_t @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])). 10.23/3.96 thf(79,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (s_col @ C @ D @ E) | (s_col @ A @ B @ E) | ~ (s_col @ C @ D @ B) | ~ (s_col @ C @ D @ A) | (C = D) | (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_18)). 10.23/3.96 thf(348,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (s_col @ C @ D @ E) | (s_col @ A @ B @ E) | ~ (s_col @ C @ D @ B) | ~ (s_col @ C @ D @ A) | (C = D) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[79])). 10.23/3.96 thf(12,axiom,((! [A:$i,B:$i]: (s_e @ A @ B @ A @ B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_1)). 10.23/3.96 thf(132,plain,((! [A:$i,B:$i]: (s_e @ A @ B @ A @ B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 10.23/3.96 thf(92,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((A = C) | (B = C) | (D = C) | ~ (perp @ B @ A @ A @ C) | ~ (s_col @ A @ C @ D) | (perp @ B @ A @ A @ D) | (A = D) | (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp3)). 10.23/3.96 thf(396,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((A = C) | (B = C) | (D = C) | ~ (perp @ B @ A @ A @ C) | ~ (s_col @ A @ C @ D) | (perp @ B @ A @ A @ D) | (A = D) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[92])). 10.23/3.96 thf(47,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((B = A) | ~ (s_t @ C @ A @ B) | (s_t @ D @ C @ B) | (s_t @ C @ D @ B) | ~ (s_t @ D @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_16a)). 10.23/3.96 thf(243,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((B = A) | ~ (s_t @ C @ A @ B) | (s_t @ D @ C @ B) | (s_t @ C @ D @ B) | ~ (s_t @ D @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[47])). 10.23/3.96 thf(54,axiom,((! [A:$i,B:$i]: ((A = B) | ~ (s_t @ A @ B @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA6)). 10.23/3.96 thf(265,plain,((! [A:$i,B:$i]: ((A = B) | ~ (s_t @ A @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[54])). 10.23/3.96 thf(35,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((C = B) | (s_t @ A @ C @ D) | ~ (s_t @ B @ C @ D) | ~ (s_t @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_7a)). 10.23/3.96 thf(206,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((C = B) | (s_t @ A @ C @ D) | ~ (s_t @ B @ C @ D) | ~ (s_t @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])). 10.23/3.96 thf(63,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_col @ A @ B @ C) | ~ (s_col @ A @ B @ D) | (A = B) | (s_col @ A @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aext1)). 10.23/3.96 thf(292,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_col @ A @ B @ C) | ~ (s_col @ A @ B @ D) | (A = B) | (s_col @ A @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[63])). 10.23/3.96 thf(43,axiom,((! [A:$i,B:$i]: (s_r @ A @ B @ B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_5)). 10.23/3.96 thf(233,plain,((! [A:$i,B:$i]: (s_r @ A @ B @ B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])). 10.23/3.96 thf(75,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((A = B) | ~ (s_col @ A @ B @ C) | ~ (s_col @ A @ B @ D) | (s_col @ A @ C @ D) | (C = A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_16b)). 10.23/3.96 thf(334,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((A = B) | ~ (s_col @ A @ B @ C) | ~ (s_col @ A @ B @ D) | (s_col @ A @ C @ D) | (C = A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[75])). 10.23/3.96 thf(22,axiom,((! [A:$i,B:$i,C:$i]: (~ (s_e @ A @ C @ A @ B) | (B = C) | ~ (s_t @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNarbouxLemma1)). 10.23/3.96 thf(160,plain,((! [A:$i,B:$i,C:$i]: (~ (s_e @ A @ C @ A @ B) | (B = C) | ~ (s_t @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])). 10.23/3.96 thf(90,axiom,((! [A:$i,B:$i]: (s_m @ A @ (midpoint @ A @ B) @ B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_22)). 10.23/3.96 thf(392,plain,((! [A:$i,B:$i]: (s_m @ A @ (midpoint @ A @ B) @ B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[90])). 10.23/3.96 thf(65,axiom,((! [A:$i,B:$i]: (s_col @ A @ A @ B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_12)). 10.23/3.96 thf(297,plain,((! [A:$i,B:$i]: (s_col @ A @ A @ B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[65])). 10.23/3.96 thf(31,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((C = D) | ~ (s_m @ A @ B @ D) | ~ (s_m @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_4b)). 10.23/3.96 thf(192,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((C = D) | ~ (s_m @ A @ B @ D) | ~ (s_m @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])). 10.23/3.96 thf(94,axiom,((! [A:$i,B:$i,C:$i]: ((((reflect @ A @ B @ C) = C) | (perp @ A @ B @ C @ (reflect @ A @ B @ C)) | (A = B)) & ((B = A) | (s_col @ A @ B @ (midpoint @ C @ (reflect @ A @ B @ C))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_2a)). 10.23/3.96 thf(407,plain,((! [A:$i,B:$i,C:$i]: ((((reflect @ A @ B @ C) = C) | (perp @ A @ B @ C @ (reflect @ A @ B @ C)) | (A = B)) & ((B = A) | (s_col @ A @ B @ (midpoint @ C @ (reflect @ A @ B @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[94])). 10.23/3.96 thf(58,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((B = A) | (D = C) | (s_col @ C @ D @ E) | ~ (perpAt @ A @ B @ C @ E @ C) | ~ (perpAt @ A @ B @ C @ D @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLemma9_13g)). 10.23/3.96 thf(275,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((B = A) | (D = C) | (s_col @ C @ D @ E) | ~ (perpAt @ A @ B @ C @ E @ C) | ~ (perpAt @ A @ B @ C @ D @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[58])). 10.23/3.96 thf(73,axiom,((! [A:$i,B:$i,C:$i]: ((s_col @ B @ C @ A) | ~ (s_col @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11a)). 10.23/3.96 thf(329,plain,((! [A:$i,B:$i,C:$i]: ((s_col @ B @ C @ A) | ~ (s_col @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[73])). 10.23/3.96 thf(72,axiom,((! [A:$i,B:$i,C:$i]: (((s_col @ A @ B @ (foot @ A @ B @ C)) | (s_col @ A @ B @ C)) & ((s_col @ A @ B @ C) | (perp @ A @ B @ C @ (foot @ A @ B @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_18)). 10.23/3.96 thf(324,plain,((! [A:$i,B:$i,C:$i]: (((s_col @ A @ B @ (foot @ A @ B @ C)) | (s_col @ A @ B @ C)) & ((s_col @ A @ B @ C) | (perp @ A @ B @ C @ (foot @ A @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[72])). 10.23/3.96 thf(61,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_col @ A @ B @ C) | ~ (perp @ A @ B @ D @ C) | (perpAt @ A @ B @ C @ D @ C) | (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_15)). 10.23/3.96 thf(285,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_col @ A @ B @ C) | ~ (perp @ A @ B @ D @ C) | (perpAt @ A @ B @ C @ D @ C) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[61])). 10.23/3.96 thf(21,axiom,((! [A:$i,B:$i,C:$i]: (~ (s_e @ A @ B @ C @ C) | (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_13)). 10.23/3.96 thf(156,plain,((! [A:$i,B:$i,C:$i]: (~ (s_e @ A @ B @ C @ C) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])). 10.23/3.96 thf(89,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (s_col @ A @ B @ D) | (A = B) | (perp @ C @ D @ E @ F) | ~ (perp @ A @ B @ E @ F) | (D = C) | ~ (s_col @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp5)). 10.23/3.96 thf(388,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (s_col @ A @ B @ D) | (A = B) | (perp @ C @ D @ E @ F) | ~ (perp @ A @ B @ E @ F) | (D = C) | ~ (s_col @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[89])). 10.23/3.96 thf(25,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (s_e @ A @ B @ C @ D) | ~ (s_e @ B @ C @ D @ A) | (s_m @ A @ E @ C) | ~ (s_col @ B @ E @ D) | ~ (s_col @ A @ E @ C) | (D = B) | (s_col @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_21)). 10.23/3.96 thf(169,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (s_e @ A @ B @ C @ D) | ~ (s_e @ B @ C @ D @ A) | (s_m @ A @ E @ C) | ~ (s_col @ B @ E @ D) | ~ (s_col @ A @ E @ C) | (D = B) | (s_col @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])). 10.23/3.96 thf(26,axiom,((! [A:$i,B:$i]: (~ (s_m @ A @ B @ A) | (B = A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_3a)). 10.23/3.96 thf(173,plain,((! [A:$i,B:$i]: (~ (s_m @ A @ B @ A) | (B = A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])). 10.23/3.96 thf(11,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (s_t @ D @ E @ F) | ~ (s_e @ B @ C @ E @ F) | (s_e @ A @ B @ D @ E) | ~ (s_e @ A @ C @ D @ F) | ~ (s_t @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_3)). 10.23/3.96 thf(129,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (s_t @ D @ E @ F) | ~ (s_e @ B @ C @ E @ F) | (s_e @ A @ B @ D @ E) | ~ (s_e @ A @ C @ D @ F) | ~ (s_t @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 10.23/3.96 thf(84,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((B = A) | (C = D) | (s_r @ E @ C @ D) | ~ (perp @ A @ B @ E @ C) | ~ (s_col @ A @ B @ D) | ~ (s_col @ A @ B @ C)) & (~ (s_col @ A @ B @ E) | ~ (perp @ A @ B @ E @ C) | (D = C) | ~ (s_col @ A @ B @ D) | ~ (s_col @ A @ B @ C) | (A = B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_16a)). 10.23/3.96 thf(371,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((B = A) | (C = D) | (s_r @ E @ C @ D) | ~ (perp @ A @ B @ E @ C) | ~ (s_col @ A @ B @ D) | ~ (s_col @ A @ B @ C)) & (~ (s_col @ A @ B @ E) | ~ (perp @ A @ B @ E @ C) | (D = C) | ~ (s_col @ A @ B @ D) | ~ (s_col @ A @ B @ C) | (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[84])). 10.23/3.96 thf(13,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((s_e @ B @ A @ D @ C) | ~ (s_e @ A @ B @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_14)). 10.23/3.96 thf(134,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((s_e @ B @ A @ D @ C) | ~ (s_e @ A @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 10.23/3.96 thf(45,axiom,((! [A:$i,B:$i,C:$i]: ((s_t @ C @ B @ A) | ~ (s_t @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_2)). 10.23/3.96 thf(237,plain,((! [A:$i,B:$i,C:$i]: ((s_t @ C @ B @ A) | ~ (s_t @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[45])). 10.23/3.96 thf(4,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_t @ A @ B @ C) | ~ (s_e @ A @ B @ A @ D) | ~ (s_e @ C @ B @ C @ D) | (D = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_19)). 10.23/3.96 thf(105,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_t @ A @ B @ C) | ~ (s_e @ A @ B @ A @ D) | ~ (s_e @ C @ B @ C @ D) | (D = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 10.23/3.96 thf(59,axiom,((! [A:$i,B:$i]: (~ (s_r @ A @ B @ A) | (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_8)). 10.23/3.96 thf(279,plain,((! [A:$i,B:$i]: (~ (s_r @ A @ B @ A) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[59])). 10.23/3.96 thf(27,axiom,((! [A:$i,B:$i]: (s_t @ A @ A @ B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_3)). 10.23/3.96 thf(176,plain,((! [A:$i,B:$i]: (s_t @ A @ A @ B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])). 10.23/3.96 thf(86,axiom,((! [A:$i,B:$i,C:$i]: (~ (s_col @ A @ B @ C) | (s_col @ A @ C @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11e)). 10.23/3.96 thf(382,plain,((! [A:$i,B:$i,C:$i]: (~ (s_col @ A @ B @ C) | (s_col @ A @ C @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[86])). 10.23/3.96 thf(29,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (perpAt @ A @ B @ C @ D @ E) | (perpAt @ D @ E @ C @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_12a)). 10.23/3.96 thf(187,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (perpAt @ A @ B @ C @ D @ E) | (perpAt @ D @ E @ C @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])). 10.23/3.96 thf(7,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((s_e @ B @ A @ C @ D) | ~ (s_e @ A @ B @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_4)). 10.23/3.96 thf(113,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((s_e @ B @ A @ C @ D) | ~ (s_e @ A @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 10.23/3.96 thf(42,axiom,((! [A:$i,B:$i,C:$i]: (~ (s_r @ A @ B @ C) | ~ (s_col @ A @ B @ C) | (A = B) | (B = C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_9)). 10.23/3.96 thf(230,plain,((! [A:$i,B:$i,C:$i]: (~ (s_r @ A @ B @ C) | ~ (s_col @ A @ B @ C) | (A = B) | (B = C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[42])). 10.23/3.96 thf(70,axiom,((! [A:$i,B:$i,C:$i]: ((A = B) | (s_col @ B @ A @ C) | ~ (s_col @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_17b)). 10.23/3.96 thf(318,plain,((! [A:$i,B:$i,C:$i]: ((A = B) | (s_col @ B @ A @ C) | ~ (s_col @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[70])). 10.23/3.96 thf(67,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (perp @ A @ B @ C @ D) | (perp @ A @ B @ D @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp4)). 10.23/3.96 thf(303,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (perp @ A @ B @ C @ D) | (perp @ A @ B @ D @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[67])). 10.23/3.96 thf(56,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ A @ D @ C) | (s_t @ A @ B @ D) | (s_t @ A @ D @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_3)). 10.23/3.96 thf(271,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ A @ D @ C) | (s_t @ A @ B @ D) | (s_t @ A @ D @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])). 10.23/3.96 thf(83,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (s_col @ A @ B @ C) | (D = C) | (perp @ A @ B @ E @ C) | (s_col @ A @ B @ E) | ~ (s_r @ E @ C @ D) | ~ (s_col @ A @ B @ D) | (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_16b)). 10.23/3.96 thf(367,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (~ (s_col @ A @ B @ C) | (D = C) | (perp @ A @ B @ E @ C) | (s_col @ A @ B @ E) | ~ (s_r @ E @ C @ D) | ~ (s_col @ A @ B @ D) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[83])). 10.23/3.96 thf(3,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ D @ E @ F) | ~ (s_e @ B @ C @ D @ E) | (s_e @ A @ C @ D @ F) | ~ (s_e @ A @ B @ E @ F)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_15)). 10.23/3.96 thf(103,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ D @ E @ F) | ~ (s_e @ B @ C @ D @ E) | (s_e @ A @ C @ D @ F) | ~ (s_e @ A @ B @ E @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 10.23/3.96 thf(15,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (s_e @ A @ B @ D @ E) | (s_e @ A @ C @ D @ F) | ~ (s_e @ B @ C @ E @ F) | ~ (s_t @ D @ E @ F) | ~ (s_t @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_11)). 10.23/3.96 thf(140,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (s_e @ A @ B @ D @ E) | (s_e @ A @ C @ D @ F) | ~ (s_e @ B @ C @ E @ F) | ~ (s_t @ D @ E @ F) | ~ (s_t @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])). 10.23/3.96 thf(5,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (s_e @ A @ B @ C @ D) | ~ (s_e @ A @ B @ E @ F) | (s_e @ C @ D @ E @ F)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA2)). 10.23/3.96 thf(108,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (s_e @ A @ B @ C @ D) | ~ (s_e @ A @ B @ E @ F) | (s_e @ C @ D @ E @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 10.23/3.96 thf(91,axiom,((! [A:$i,B:$i,C:$i]: (~ (s_col @ A @ B @ C) | (s_col @ C @ B @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11c)). 10.23/3.96 thf(394,plain,((! [A:$i,B:$i,C:$i]: (~ (s_col @ A @ B @ C) | (s_col @ C @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[91])). 10.23/3.96 thf(66,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((s_col @ A @ B @ C) | ~ (perp @ A @ B @ C @ D) | (E = D) | ~ (perp @ A @ B @ C @ E) | ~ (s_col @ A @ B @ E) | ~ (s_col @ A @ B @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_18a)). 10.23/3.96 thf(299,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((s_col @ A @ B @ C) | ~ (perp @ A @ B @ C @ D) | (E = D) | ~ (perp @ A @ B @ C @ E) | ~ (s_col @ A @ B @ E) | ~ (s_col @ A @ B @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[66])). 10.23/3.96 thf(41,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((C = B) | ~ (s_t @ A @ C @ D) | ~ (s_r @ D @ B @ C) | ~ (s_r @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_6)). 10.23/3.96 thf(226,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((C = B) | ~ (s_t @ A @ C @ D) | ~ (s_r @ D @ B @ C) | ~ (s_r @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])). 10.23/3.96 thf(24,axiom,((! [A:$i,B:$i]: (s_e @ A @ B @ B @ A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA1)). 10.23/3.96 thf(167,plain,((! [A:$i,B:$i]: (s_e @ A @ B @ B @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])). 10.23/3.96 thf(51,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ B @ D @ C) | (s_t @ A @ D @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_5b)). 10.23/3.96 thf(255,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ B @ D @ C) | (s_t @ A @ D @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[51])). 10.23/3.96 thf(77,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((D = C) | ~ (s_col @ A @ B @ C) | (s_col @ A @ B @ E) | ~ (s_col @ C @ D @ E) | ~ (s_col @ A @ B @ D) | (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtCol2)). 10.23/3.96 thf(342,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((D = C) | ~ (s_col @ A @ B @ C) | (s_col @ A @ B @ E) | ~ (s_col @ C @ D @ E) | ~ (s_col @ A @ B @ D) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[77])). 10.23/3.96 thf(64,axiom,((! [A:$i,B:$i,C:$i]: ((s_col @ B @ A @ C) | ~ (s_col @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11d)). 10.23/3.96 thf(295,plain,((! [A:$i,B:$i,C:$i]: ((s_col @ B @ A @ C) | ~ (s_col @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[64])). 10.23/3.96 thf(60,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((s_t @ A @ B @ D) | ~ (s_t @ B @ D @ C) | ~ (s_t @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_5a)). 10.23/3.96 thf(282,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((s_t @ A @ B @ D) | ~ (s_t @ B @ D @ C) | ~ (s_t @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[60])). 10.23/3.96 thf(18,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_e @ A @ B @ C @ D) | (s_e @ C @ D @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_2)). 10.23/3.96 thf(150,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_e @ A @ B @ C @ D) | (s_e @ C @ D @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])). 10.23/3.96 thf(1,conjecture,((! [A:$i,B:$i,C:$i,D:$i]: ((D != (reflect @ A @ B @ C)) | (C = (reflect @ A @ B @ D)) | (B = A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_4)). 10.23/3.96 thf(2,negated_conjecture,((~ (! [A:$i,B:$i,C:$i,D:$i]: ((D != (reflect @ A @ B @ C)) | (C = (reflect @ A @ B @ D)) | (B = A))))),inference(neg_conjecture,[status(cth)],[1])). 10.23/3.96 thf(95,plain,((~ (! [A:$i,B:$i,C:$i,D:$i]: (~ (D = (reflect @ A @ B @ C)) | (C = (reflect @ A @ B @ D)) | (B = A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 10.23/3.96 thf(33,axiom,((! [A:$i,B:$i,C:$i]: (~ (s_r @ A @ B @ C) | ~ (s_r @ A @ C @ B) | (B = C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_7)). 10.23/3.96 thf(199,plain,((! [A:$i,B:$i,C:$i]: (~ (s_r @ A @ B @ C) | ~ (s_r @ A @ C @ B) | (B = C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])). 10.23/3.96 thf(74,axiom,((! [A:$i,B:$i]: (~ (s_col @ A @ B @ (pointOffLine @ A @ B)) | (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_25)). 10.23/3.96 thf(331,plain,((! [A:$i,B:$i]: (~ (s_col @ A @ B @ (pointOffLine @ A @ B)) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[74])). 10.23/3.96 thf(76,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (~ (s_col @ C @ D @ E) | ~ (s_col @ A @ B @ F) | (F = E) | ~ (s_col @ A @ B @ G) | (s_col @ C @ D @ G) | ~ (s_col @ C @ D @ F) | ~ (s_col @ A @ B @ E) | (D = C) | (B = A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_21)). 10.23/3.96 thf(338,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (~ (s_col @ C @ D @ E) | ~ (s_col @ A @ B @ F) | (F = E) | ~ (s_col @ A @ B @ G) | (s_col @ C @ D @ G) | ~ (s_col @ C @ D @ F) | ~ (s_col @ A @ B @ E) | (D = C) | (B = A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[76])). 10.23/3.96 thf(20,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((s_e @ A @ B @ D @ C) | ~ (s_e @ A @ B @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_5)). 10.23/3.96 thf(154,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((s_e @ A @ B @ D @ C) | ~ (s_e @ A @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])). 10.23/3.96 thf(88,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (perp @ A @ B @ C @ D) | (perp @ B @ A @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aperp1)). 10.23/3.96 thf(386,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (perp @ A @ B @ C @ D) | (perp @ B @ A @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[88])). 10.23/3.96 thf(16,axiom,((! [A:$i,B:$i,C:$i]: (~ (s_col @ A @ B @ C) | (C = A) | (s_m @ A @ B @ C) | ~ (s_e @ B @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_20)). 10.23/3.96 thf(143,plain,((! [A:$i,B:$i,C:$i]: (~ (s_col @ A @ B @ C) | (C = A) | (s_m @ A @ B @ C) | ~ (s_e @ B @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])). 10.23/3.96 thf(49,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (perp @ A @ B @ B @ C) | ~ (perp @ D @ C @ B @ C) | ~ (s_col @ B @ C @ E) | ~ (s_t @ C @ F @ D) | ~ (s_e @ B @ A @ C @ F) | (s_m @ A @ (midpoint @ B @ C) @ F) | ~ (s_t @ A @ E @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_24)). 10.23/3.96 thf(250,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (perp @ A @ B @ B @ C) | ~ (perp @ D @ C @ B @ C) | ~ (s_col @ B @ C @ E) | ~ (s_t @ C @ F @ D) | ~ (s_e @ B @ A @ C @ F) | (s_m @ A @ (midpoint @ B @ C) @ F) | ~ (s_t @ A @ E @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[49])). 10.23/3.96 thf(39,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((s_r @ D @ B @ C) | ~ (s_col @ B @ A @ D) | (B = A) | ~ (s_r @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_3)). 10.23/3.96 thf(218,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((s_r @ D @ B @ C) | ~ (s_col @ B @ A @ D) | (B = A) | ~ (s_r @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])). 10.23/3.96 thf(85,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (s_col @ A @ B @ D) | (perp @ A @ B @ E @ F) | ~ (perp @ C @ D @ E @ F) | (A = B) | (D = C) | ~ (s_col @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp2)). 10.23/3.96 thf(378,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (s_col @ A @ B @ D) | (perp @ A @ B @ E @ F) | ~ (perp @ C @ D @ E @ F) | (A = B) | (D = C) | ~ (s_col @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[85])). 10.23/3.96 thf(44,axiom,((! [A:$i,B:$i,C:$i]: ((s_m @ C @ B @ A) | ~ (s_m @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_2)). 10.23/3.96 thf(235,plain,((! [A:$i,B:$i,C:$i]: ((s_m @ C @ B @ A) | ~ (s_m @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[44])). 10.23/3.96 thf(48,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (~ (s_col @ A @ B @ C) | (D = C) | (A = B) | (perpAt @ A @ B @ E @ F @ G) | ~ (perpAt @ C @ D @ E @ F @ G) | ~ (s_col @ A @ B @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp)). 10.23/3.96 thf(246,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (~ (s_col @ A @ B @ C) | (D = C) | (A = B) | (perpAt @ A @ B @ E @ F @ G) | ~ (perpAt @ C @ D @ E @ F @ G) | ~ (s_col @ A @ B @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])). 10.23/3.96 thf(78,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((perp @ C @ D @ A @ B) | ~ (perp @ A @ B @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_12b)). 10.23/3.96 thf(346,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((perp @ C @ D @ A @ B) | ~ (perp @ A @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[78])). 10.23/3.96 thf(37,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ A @ C @ D) | (s_t @ A @ B @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_6b)). 10.23/3.96 thf(214,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ A @ C @ D) | (s_t @ A @ B @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[37])). 10.23/3.96 thf(17,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (~ (s_e @ B @ E @ D @ F) | ~ (s_e @ B @ G @ D @ H) | ~ (s_t @ A @ B @ E) | ~ (s_t @ C @ D @ F) | (A = B) | (s_e @ E @ G @ F @ H) | ~ (s_e @ A @ G @ C @ H) | ~ (s_e @ A @ B @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA5)). 10.23/3.96 thf(146,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (~ (s_e @ B @ E @ D @ F) | ~ (s_e @ B @ G @ D @ H) | ~ (s_t @ A @ B @ E) | ~ (s_t @ C @ D @ F) | (A = B) | (s_e @ E @ G @ F @ H) | ~ (s_e @ A @ G @ C @ H) | ~ (s_e @ A @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])). 10.23/3.96 thf(57,axiom,((! [A:$i,B:$i]: (s_t @ A @ B @ B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_1)). 10.23/3.96 thf(273,plain,((! [A:$i,B:$i]: (s_t @ A @ B @ B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[57])). 10.23/3.96 thf(68,axiom,((! [A:$i,B:$i]: ((A = B) | (s_col @ A @ B @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_17a)). 10.23/3.96 thf(305,plain,((! [A:$i,B:$i]: ((A = B) | (s_col @ A @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[68])). 10.23/3.96 thf(36,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((A = B) | (A = C) | ~ (s_t @ B @ A @ C) | (s_col @ D @ A @ B) | (A != D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_15d)). 10.23/3.96 thf(210,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((A = B) | (A = C) | ~ (s_t @ B @ A @ C) | (s_col @ D @ A @ B) | ~ (A = D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])). 10.23/3.96 thf(46,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: ((B = A) | (D = C) | (F = E) | (G = E) | (perpAt @ A @ B @ E @ C @ D) | ~ (s_r @ F @ E @ G) | ~ (s_col @ C @ D @ G) | ~ (s_col @ A @ B @ F) | ~ (s_col @ A @ B @ E) | ~ (s_col @ C @ D @ E)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_13b)). 10.23/3.96 thf(239,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: ((B = A) | (D = C) | (F = E) | (G = E) | (perpAt @ A @ B @ E @ C @ D) | ~ (s_r @ F @ E @ G) | ~ (s_col @ C @ D @ G) | ~ (s_col @ A @ B @ F) | ~ (s_col @ A @ B @ E) | ~ (s_col @ C @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[46])). 10.23/3.96 thf(10,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((s_e @ A @ B @ E @ F) | ~ (s_e @ C @ D @ E @ F) | ~ (s_e @ A @ B @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_3)). 10.23/3.96 thf(126,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((s_e @ A @ B @ E @ F) | ~ (s_e @ C @ D @ E @ F) | ~ (s_e @ A @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 10.23/3.96 thf(14,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((s_e @ C @ D @ C @ E) | ~ (s_e @ B @ D @ B @ E) | ~ (s_e @ A @ D @ A @ E) | ~ (s_col @ A @ B @ C) | (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_17)). 10.23/3.96 thf(136,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: ((s_e @ C @ D @ C @ E) | ~ (s_e @ B @ D @ B @ E) | ~ (s_e @ A @ D @ A @ E) | ~ (s_col @ A @ B @ C) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 10.23/3.96 thf(55,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((A = B) | ~ (s_t @ A @ B @ C) | (s_t @ B @ D @ C) | (s_t @ B @ C @ D) | ~ (s_t @ A @ B @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_2)). 10.23/3.96 thf(268,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((A = B) | ~ (s_t @ A @ B @ C) | (s_t @ B @ D @ C) | (s_t @ B @ C @ D) | ~ (s_t @ A @ B @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[55])). 10.23/3.96 thf(93,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((A = B) | ~ (s_col @ A @ B @ (midpoint @ C @ D)) | ((reflect @ A @ B @ C) = D) | ~ (perp @ A @ B @ C @ D)) & ((D = (reflect @ A @ B @ C)) | (D != C) | ~ (s_col @ A @ B @ (midpoint @ C @ D)) | (B = A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_2b)). 10.23/3.96 thf(400,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((A = B) | ~ (s_col @ A @ B @ (midpoint @ C @ D)) | ((reflect @ A @ B @ C) = D) | ~ (perp @ A @ B @ C @ D)) & ((D = (reflect @ A @ B @ C)) | ~ (D = C) | ~ (s_col @ A @ B @ (midpoint @ C @ D)) | (B = A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[93])). 10.23/3.96 thf(23,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_e @ B @ C @ B @ D) | (D = C) | ~ (s_e @ A @ C @ A @ D) | ~ (s_col @ A @ B @ C) | (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_18)). 10.23/3.96 thf(163,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (s_e @ B @ C @ B @ D) | (D = C) | ~ (s_e @ A @ C @ A @ D) | ~ (s_col @ A @ B @ C) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])). 10.23/3.96 thf(28,axiom,((! [A:$i,B:$i,C:$i]: ((~ (s_col @ A @ B @ C) | (s_t @ B @ C @ A) | (s_t @ C @ A @ B) | (s_t @ A @ B @ C)) & ((s_col @ A @ B @ C) | ~ (s_t @ A @ B @ C)) & ((s_col @ A @ B @ C) | ~ (s_t @ C @ A @ B)) & (~ (s_t @ B @ C @ A) | (s_col @ A @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_10)). 10.23/3.96 thf(178,plain,((! [A:$i,B:$i,C:$i]: ((~ (s_col @ A @ B @ C) | (s_t @ B @ C @ A) | (s_t @ C @ A @ B) | (s_t @ A @ B @ C)) & ((s_col @ A @ B @ C) | ~ (s_t @ A @ B @ C)) & ((s_col @ A @ B @ C) | ~ (s_t @ C @ A @ B)) & (~ (s_t @ B @ C @ A) | (s_col @ A @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])). 10.23/3.96 thf(9,axiom,((! [A:$i,B:$i,C:$i]: (~ (s_e @ A @ B @ C @ C) | (B = A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA3)). 10.23/3.96 thf(122,plain,((! [A:$i,B:$i,C:$i]: (~ (s_e @ A @ B @ C @ C) | (B = A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 10.23/3.96 thf(81,axiom,((! [A:$i,B:$i,C:$i]: (((perp @ A @ B @ (erect @ A @ B @ C) @ A) | (B = A)) & ((s_t @ C @ (erectAux @ A @ B @ C) @ (erect @ A @ B @ C)) | (B = A)) & ((s_col @ A @ B @ (erectAux @ A @ B @ C)) | (A = B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_21)). 10.23/3.96 thf(354,plain,((! [A:$i,B:$i,C:$i]: (((perp @ A @ B @ (erect @ A @ B @ C) @ A) | (B = A)) & ((s_t @ C @ (erectAux @ A @ B @ C) @ (erect @ A @ B @ C)) | (B = A)) & ((s_col @ A @ B @ (erectAux @ A @ B @ C)) | (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[81])). 10.23/3.96 thf(40,axiom,((! [A:$i,B:$i,C:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ B @ A @ C) | (B = A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_4)). 10.23/3.96 thf(222,plain,((! [A:$i,B:$i,C:$i]: (~ (s_t @ A @ B @ C) | ~ (s_t @ B @ A @ C) | (B = A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])). 10.23/3.96 thf(82,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (~ (perp @ A @ B @ C @ D) | ~ (s_col @ A @ B @ D) | ~ (s_col @ A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_14a)). 10.23/3.96 thf(364,plain,((! [A:$i,B:$i,C:$i,D:$i]: (~ (perp @ A @ B @ C @ D) | ~ (s_col @ A @ B @ D) | ~ (s_col @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[82])). 10.23/3.96 thf(414,plain,($false),inference(e,[status(thm)],[352,115,308,202,384,257,110,196,189,152,289,261,216,321,253,348,132,396,243,265,206,292,233,334,160,392,297,192,407,275,329,324,285,156,388,169,173,129,371,134,237,105,279,176,382,187,113,230,318,303,271,367,103,140,108,394,299,226,167,255,342,295,282,150,95,199,331,338,154,386,143,250,218,378,235,246,346,214,146,273,305,210,239,126,136,268,400,163,178,122,354,222,364])). 10.23/3.96 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 10.23/3.96 % [INFO] Killing All external provers ... 10.30/4.01 EOF