0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : prover9 -casc 180 -f /export/starexec/sandbox2/benchmark/theBenchmark.p 0.09/0.36 % Computer : n025.cluster.edu 0.09/0.36 % Model : x86_64 x86_64 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.36 % Memory : 8046.5625MB 0.09/0.36 % OS : Linux 6.8.0-71-generic 0.02/0.36 % CPULimit : 1440 0.02/0.36 % WCLimit : 180 0.02/0.36 % DateTime : Mon Jul 27 09:53:43 UTC 2026 0.02/0.36 % CPUTime : 0.02/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13. 0.02/0.36 % Process 2499222 was started by sandbox2 on n025, 0.02/0.36 % Mon Jul 27 09:53:43 2026 0.02/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 180 -f /export/starexec/sandbox2/benchmark/theBenchmark.p". 0.02/0.37 0.02/0.37 % From the command line: assign(max_seconds, 180). 15.95/2.53 15.95/2.53 % Assigning unary symbol n kb_weight 0 and highest precedence (7). 15.95/2.53 15.95/2.53 % SZS status Theorem for theBenchmark 15.95/2.53 15.95/2.53 % Proof 1 at 1.39 (+ 0.59) seconds. 15.95/2.53 % Length of proof is 55. 15.95/2.53 % Level of proof is 29. 15.95/2.53 % Maximum clause weight is 116.000. 15.95/2.53 % Given clauses 416. 15.95/2.53 15.95/2.53 % SZS output start CNFRefutation for theBenchmark 15.95/2.53 fof(condensed_detachment, axiom, ! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)), file('theBenchmark.p',condensed_detachment)). 15.95/2.53 fof(f2, axiom, ! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O] : is_a_theorem(implies(implies(implies(implies(implies(A,implies(B,A)),implies(implies(C,implies(D,implies(E,D))),F)),F),implies(implies(implies(implies(implies(implies(implies(G,H),implies(implies(H,I),implies(G,I))),implies(implies(implies(n(J),J),J),K)),K),implies(implies(L,implies(n(L),M)),N)),N),O)),O)), file('theBenchmark.p',f2)). 15.95/2.53 fof(f3, conjecture, is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))), file('theBenchmark.p',f3)). 15.95/2.53 fof(f3_neg, negated_conjecture, ~(is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), inference(assume_negation, [status(cth)], [f3])). 15.95/2.53 cnf(c_4, plain, is_a_theorem(A) | ~is_a_theorem(B) | ~is_a_theorem(implies(B,A)), inference(clausify, [status(thm)], [condensed_detachment])). 15.95/2.53 cnf(c_5, plain, is_a_theorem(implies(implies(implies(implies(implies(A,implies(B,A)),implies(implies(C,implies(D,implies(E,D))),F)),F),implies(implies(implies(implies(implies(implies(implies(V6,V7),implies(implies(V7,V8),implies(V6,V8))),implies(implies(implies(n(V9),V9),V9),V10)),V10),implies(implies(V11,implies(n(V11),V12)),V13)),V13),V14)),V14)), inference(clausify, [status(thm)], [f2])). 15.95/2.53 cnf(c_6, negated_conjecture, ~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))), inference(clausify, [status(thm)], [f3_neg])). 15.95/2.53 cnf(c_12307, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(implies(implies(implies(B,implies(C,B)),implies(implies(D,implies(E,implies(F,E))),V6)),V6),implies(implies(implies(implies(implies(implies(implies(V7,V8),implies(implies(V8,V9),implies(V7,V9))),implies(implies(implies(n(V10),V10),V10),V11)),V11),implies(implies(V12,implies(n(V12),V13)),V14)),V14),V15)),V15),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_5])). 15.95/2.53 cnf(c_7, plain, is_a_theorem(implies(A,implies(B,A))), 15.95/2.53 inference(resolve, [status(thm)], [c_12307, c_5])). 15.95/2.53 cnf(c_12308, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,B)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_7])). 15.95/2.53 cnf(c_8, plain, is_a_theorem(implies(A,implies(B,implies(C,B)))), 15.95/2.53 inference(resolve, [status(thm)], [c_12308, c_7])). 15.95/2.53 cnf(c_12309, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,B)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_7])). 15.95/2.53 cnf(c_9, plain, is_a_theorem(implies(implies(implies(A,implies(B,A)),implies(implies(C,implies(D,implies(E,D))),F)),F)), 15.95/2.53 inference(resolve, [status(thm)], [c_12309, c_5])). 15.95/2.53 cnf(c_12310, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,implies(D,C))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_8])). 15.95/2.53 cnf(c_10, plain, is_a_theorem(implies(A,implies(B,implies(C,implies(D,C))))), 15.95/2.53 inference(resolve, [status(thm)], [c_12310, c_7])). 15.95/2.53 cnf(c_12311, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,implies(D,C))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_8])). 15.95/2.53 cnf(c_11, plain, is_a_theorem(implies(A,implies(implies(implies(implies(implies(implies(B,C),implies(implies(C,D),implies(B,D))),implies(implies(implies(n(E),E),E),F)),F),implies(implies(V6,implies(n(V6),V7)),V8)),V8))), 15.95/2.53 inference(resolve, [status(thm)], [c_12311, c_5])). 15.95/2.53 cnf(c_12312, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,implies(D,implies(E,D)))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_10])). 15.95/2.53 cnf(c_12, plain, is_a_theorem(implies(A,implies(B,implies(C,implies(D,implies(E,D)))))), 15.95/2.53 inference(resolve, [status(thm)], [c_12312, c_7])). 15.95/2.53 cnf(c_12313, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,implies(D,implies(E,implies(F,E))))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_12])). 15.95/2.53 cnf(c_13, plain, is_a_theorem(implies(A,implies(B,implies(C,implies(D,implies(E,implies(F,E))))))), 15.95/2.53 inference(resolve, [status(thm)], [c_12313, c_7])). 15.95/2.53 cnf(c_12314, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,implies(D,implies(E,implies(F,implies(V6,F)))))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_13])). 15.95/2.53 cnf(c_14, plain, is_a_theorem(implies(A,implies(B,implies(C,implies(D,implies(E,implies(F,implies(V6,F)))))))), 15.95/2.53 inference(resolve, [status(thm)], [c_12314, c_7])). 15.95/2.53 cnf(c_12315, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(implies(B,implies(C,B)),implies(implies(D,implies(E,implies(F,E))),V6)),V6),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_9])). 15.95/2.53 cnf(c_15, plain, is_a_theorem(implies(A,implies(implies(implies(B,implies(C,B)),implies(implies(D,implies(E,implies(F,E))),V6)),V6))), 15.95/2.53 inference(resolve, [status(thm)], [c_12315, c_7])). 15.95/2.53 cnf(c_12316, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,implies(D,implies(E,implies(F,implies(V6,implies(V7,V6))))))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_14])). 15.95/2.53 cnf(c_17, plain, is_a_theorem(implies(implies(implies(implies(implies(implies(A,B),implies(implies(B,C),implies(A,C))),implies(implies(implies(n(D),D),D),E)),E),implies(implies(F,implies(n(F),V6)),V7)),V7)), 15.95/2.53 inference(resolve, [status(thm)], [c_12316, c_11])). 15.95/2.53 cnf(c_12317, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(implies(implies(implies(implies(implies(C,D),implies(implies(D,E),implies(C,E))),implies(implies(implies(n(F),F),F),V6)),V6),implies(implies(V7,implies(n(V7),V8)),V9)),V9)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_11])). 15.95/2.53 cnf(c_18, plain, is_a_theorem(implies(A,implies(B,implies(n(B),C)))), 15.95/2.53 inference(resolve, [status(thm)], [c_12317, c_9])). 15.95/2.53 cnf(c_12318, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,implies(n(C),D))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_18])). 15.95/2.53 cnf(c_20, plain, is_a_theorem(implies(A,implies(n(A),B))), 15.95/2.53 inference(resolve, [status(thm)], [c_12318, c_18])). 15.95/2.53 cnf(c_12319, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(implies(implies(C,implies(D,C)),implies(implies(E,implies(F,implies(V6,F))),V7)),V7)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_15])). 15.95/2.53 cnf(c_43, plain, is_a_theorem(implies(A,implies(implies(n(B),B),B))), 15.95/2.53 inference(resolve, [status(thm)], [c_12319, c_5])). 15.95/2.53 cnf(c_12320, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(implies(n(C),C),C)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_43])). 15.95/2.53 cnf(c_44, plain, is_a_theorem(implies(implies(n(A),A),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_12320, c_43])). 15.95/2.53 cnf(c_12321, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,B)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_7])). 15.95/2.53 cnf(c_70, plain, is_a_theorem(implies(implies(implies(implies(A,B),implies(implies(B,C),implies(A,C))),implies(implies(implies(n(D),D),D),E)),E)), 15.95/2.53 inference(resolve, [status(thm)], [c_12321, c_17])). 15.95/2.53 cnf(c_12322, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,B)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_7])). 15.95/2.53 cnf(c_115, plain, is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))), 15.95/2.53 inference(resolve, [status(thm)], [c_12322, c_70])). 15.95/2.53 cnf(c_12323, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(B,C),implies(implies(C,D),implies(B,D))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_115])). 15.95/2.53 cnf(c_119, plain, is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))), 15.95/2.53 inference(resolve, [status(thm)], [c_12323, c_115])). 15.95/2.53 cnf(c_12324, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(n(B),C)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_20])). 15.95/2.53 cnf(c_142, plain, is_a_theorem(implies(implies(implies(n(A),B),C),implies(A,C))), 15.95/2.53 inference(resolve, [status(thm)], [c_12324, c_115])). 15.95/2.53 cnf(c_12325, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,B)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_7])). 15.95/2.53 cnf(c_153, plain, is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))), 15.95/2.53 inference(resolve, [status(thm)], [c_12325, c_115])). 15.95/2.53 cnf(c_12326, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(B,C),implies(implies(C,D),implies(B,D))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_115])). 15.95/2.53 cnf(c_157, plain, is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))), 15.95/2.53 inference(resolve, [status(thm)], [c_12326, c_153])). 15.95/2.53 cnf(c_12327, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(n(B),B),B),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_44])). 15.95/2.53 cnf(c_159, plain, is_a_theorem(implies(A,A)), 15.95/2.53 inference(resolve, [status(thm)], [c_12327, c_153])). 15.95/2.53 cnf(c_12328, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(implies(B,C),D),implies(C,D)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_153])). 15.95/2.53 cnf(c_165, plain, is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,A),B),C))), 15.95/2.53 inference(resolve, [status(thm)], [c_12328, c_115])). 15.95/2.53 cnf(c_12329, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,B),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_159])). 15.95/2.53 cnf(c_169, plain, is_a_theorem(implies(A,implies(B,B))), 15.95/2.53 inference(resolve, [status(thm)], [c_12329, c_7])). 15.95/2.53 cnf(c_12330, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,C)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_169])). 15.95/2.53 cnf(c_173, plain, is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))), 15.95/2.53 inference(resolve, [status(thm)], [c_12330, c_115])). 15.95/2.53 cnf(c_12331, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(implies(B,C),implies(D,C))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_157])). 15.95/2.53 cnf(c_243, plain, is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(A,D))), 15.95/2.53 inference(resolve, [status(thm)], [c_12331, c_115])). 15.95/2.53 cnf(c_12332, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(implies(B,B),C),implies(D,C)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_173])). 15.95/2.53 cnf(c_251, plain, is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,D),B),C))), 15.95/2.53 inference(resolve, [status(thm)], [c_12332, c_115])). 15.95/2.53 cnf(c_12333, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(n(B),B),B),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_44])). 15.95/2.53 cnf(c_698, plain, is_a_theorem(implies(implies(implies(A,n(B)),B),B)), 15.95/2.53 inference(resolve, [status(thm)], [c_12333, c_165])). 15.95/2.53 cnf(c_12334, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(implies(n(B),C),D),implies(B,D)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_142])). 15.95/2.53 cnf(c_831, plain, is_a_theorem(implies(n(A),implies(A,implies(B,C)))), 15.95/2.53 inference(resolve, [status(thm)], [c_12334, c_243])). 15.95/2.53 cnf(c_12335, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(n(B),implies(B,implies(C,D))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_831])). 15.95/2.53 cnf(c_856, plain, is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(n(A),D))), 15.95/2.53 inference(resolve, [status(thm)], [c_12335, c_115])). 15.95/2.53 cnf(c_12336, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(implies(B,n(C)),C),C),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_698])). 15.95/2.53 cnf(c_1229, plain, is_a_theorem(implies(implies(implies(A,A),B),B)), 15.95/2.53 inference(resolve, [status(thm)], [c_12336, c_251])). 15.95/2.53 cnf(c_12337, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(implies(B,B),C),C),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_1229])). 15.95/2.53 cnf(c_1265, plain, is_a_theorem(implies(implies(A,B),implies(implies(implies(C,C),A),B))), 15.95/2.53 inference(resolve, [status(thm)], [c_12337, c_115])). 15.95/2.53 cnf(c_12338, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(B,C),implies(implies(C,D),implies(B,D))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_115])). 15.95/2.53 cnf(c_1391, plain, is_a_theorem(implies(implies(implies(A,A),implies(B,C)),implies(implies(C,D),implies(B,D)))), 15.95/2.53 inference(resolve, [status(thm)], [c_12338, c_1265])). 15.95/2.53 cnf(c_12339, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(implies(implies(B,C),implies(D,C)),E),implies(B,E)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_243])). 15.95/2.53 cnf(c_3317, plain, is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,implies(D,C))))), 15.95/2.53 inference(resolve, [status(thm)], [c_12339, c_119])). 15.95/2.53 cnf(c_12340, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(B,implies(C,D)),implies(C,implies(B,implies(E,D)))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_3317])). 15.95/2.53 cnf(c_3703, plain, is_a_theorem(implies(implies(A,implies(n(B),B)),implies(C,implies(A,B)))), 15.95/2.53 inference(resolve, [status(thm)], [c_12340, c_70])). 15.95/2.53 cnf(c_12341, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(B,implies(n(C),C)),implies(D,implies(B,C))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_3703])). 15.95/2.53 cnf(c_4021, plain, is_a_theorem(implies(n(A),implies(B,implies(A,C)))), 15.95/2.53 inference(resolve, [status(thm)], [c_12341, c_856])). 15.95/2.53 cnf(c_12342, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(B,implies(n(C),C)),implies(D,implies(B,C))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_3703])). 15.95/2.53 cnf(c_4027, plain, is_a_theorem(implies(A,implies(B,implies(implies(A,C),C)))), 15.95/2.53 inference(resolve, [status(thm)], [c_12342, c_243])). 15.95/2.53 cnf(c_12343, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(n(B),implies(C,implies(B,D))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_4021])). 15.95/2.53 cnf(c_4040, plain, is_a_theorem(implies(A,implies(n(B),implies(B,C)))), 15.95/2.53 inference(resolve, [status(thm)], [c_12343, c_3703])). 15.95/2.53 cnf(c_12344, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(n(C),implies(C,D))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_4040])). 15.95/2.53 cnf(c_4071, plain, is_a_theorem(implies(implies(implies(A,B),C),implies(n(A),C))), 15.95/2.53 inference(resolve, [status(thm)], [c_12344, c_1391])). 15.95/2.53 cnf(c_12345, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(implies(B,C),D),implies(n(B),D)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_4071])). 15.95/2.53 cnf(c_4126, plain, is_a_theorem(implies(n(implies(A,B)),implies(n(A),C))), 15.95/2.53 inference(resolve, [status(thm)], [c_12345, c_4071])). 15.95/2.53 cnf(c_12346, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(implies(B,C),D),implies(n(B),D)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_4071])). 15.95/2.53 cnf(c_4173, plain, is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))), 15.95/2.53 inference(resolve, [status(thm)], [c_12346, c_3703])). 15.95/2.53 cnf(c_12347, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(n(implies(B,C)),implies(n(B),D)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_4126])). 15.95/2.53 cnf(c_4258, plain, is_a_theorem(implies(A,implies(n(implies(B,C)),B))), 15.95/2.53 inference(resolve, [status(thm)], [c_12347, c_3703])). 15.95/2.53 cnf(c_12348, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(n(implies(C,D)),C)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_4258])). 15.95/2.53 cnf(c_4558, plain, is_a_theorem(implies(n(implies(A,B)),implies(C,implies(D,A)))), 15.95/2.53 inference(resolve, [status(thm)], [c_12348, c_3317])). 15.95/2.53 cnf(c_12349, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(n(implies(B,C)),implies(D,implies(E,B))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_4558])). 15.95/2.53 cnf(c_4975, plain, is_a_theorem(implies(implies(implies(A,B),A),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_12349, c_4173])). 15.95/2.53 cnf(c_12350, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(implies(B,C),B),B),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_4975])). 15.95/2.53 cnf(c_5015, plain, is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))), 15.95/2.53 inference(resolve, [status(thm)], [c_12350, c_119])). 15.95/2.53 cnf(c_12351, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(C,implies(implies(B,D),D))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_4027])). 15.95/2.53 cnf(c_5054, plain, is_a_theorem(implies(A,implies(implies(A,B),B))), 15.95/2.53 inference(resolve, [status(thm)], [c_12351, c_5015])). 15.95/2.53 cnf(c_12352, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(B,implies(implies(B,C),C)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_5054])). 15.95/2.53 cnf(c_5332, plain, is_a_theorem(implies(implies(implies(implies(A,B),B),C),implies(A,C))), 15.95/2.53 inference(resolve, [status(thm)], [c_12352, c_115])). 15.95/2.53 cnf(c_12353, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(implies(implies(B,C),C),D),implies(B,D)),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_5332])). 15.95/2.53 cnf(c_11874, plain, is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))), 15.95/2.53 inference(resolve, [status(thm)], [c_12353, c_119])). 15.95/2.53 cnf(c_12354, plain, is_a_theorem(A) | ~is_a_theorem(implies(implies(implies(B,implies(C,D)),implies(C,implies(B,D))),A)), 15.95/2.53 inference(resolve, [status(thm)], [c_4, c_11874])). 15.95/2.53 cnf(c_12305, plain, is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,implies(A,C)),D))), 15.95/2.53 inference(resolve, [status(thm)], [c_12354, c_115])). 15.95/2.53 cnf(c_12306, plain, $false, 15.95/2.53 inference(resolve, [status(thm)], [c_12305, c_6])). 15.95/2.53 % SZS output end CNFRefutation for theBenchmark 15.95/2.53 EOF