TSTP Solution File: GRP421-1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRP421-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 20:48:46 EDT 2024
% Result : Unsatisfiable 6.94s 1.35s
% Output : CNFRefutation 6.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 2
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 8 RR)
% Number of literals : 53 ( 52 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 33 ( 4 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(c_0_2,axiom,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3))) = X2,
single_axiom ).
cnf(c_0_3,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X4,X5)),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_5,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X3))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_6,plain,
inverse(inverse(multiply(inverse(multiply(a1,inverse(multiply(X1,multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),multiply(a1,a1)))) = X1,
inference(rw,[status(thm)],[c_0_2,c_0_4]) ).
cnf(c_0_7,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_5]),c_0_2]) ).
cnf(c_0_8,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_9,plain,
inverse(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),multiply(X1,a1)))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X4),X4))))))),multiply(X1,X4))) = multiply(inverse(X4),X3),
inference(spm,[status(thm)],[c_0_3,c_0_8]) ).
cnf(c_0_11,plain,
inverse(inverse(multiply(inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(a1),a1))),X2))),multiply(X1,a1)))) = inverse(multiply(inverse(a1),inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1))))))))),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
inverse(multiply(inverse(inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3)))),X4)))),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))) = multiply(inverse(X3),inverse(multiply(inverse(X3),X3))),
inference(spm,[status(thm)],[c_0_8,c_0_8]) ).
cnf(c_0_13,plain,
inverse(inverse(multiply(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(X1),inverse(multiply(inverse(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1)))))))),a1)))),multiply(inverse(a1),inverse(multiply(inverse(a1),a1)))))))))),multiply(a1,a1)))) = inverse(multiply(inverse(a1),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_3]),c_0_10]),c_0_12]),c_0_11]) ).
cnf(c_0_14,plain,
inverse(inverse(multiply(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(X1,inverse(multiply(inverse(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1)))))))),a1)))),multiply(inverse(a1),inverse(multiply(inverse(a1),a1)))))))))),multiply(a1,a1)))) = inverse(multiply(inverse(a1),inverse(multiply(inverse(multiply(X2,inverse(multiply(X1,multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),multiply(X2,a1))))),
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_15,plain,
multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(X1),inverse(multiply(inverse(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1)))))))),a1)))),multiply(inverse(a1),inverse(multiply(inverse(a1),a1)))))))) = inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,inverse(multiply(inverse(a1),a1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_13]),c_0_7]) ).
cnf(c_0_16,plain,
inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),multiply(X1,a1))))),multiply(a1,inverse(multiply(inverse(a1),a1))))) = multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(X2,inverse(multiply(inverse(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1)))))))),a1)))),multiply(inverse(a1),inverse(multiply(inverse(a1),a1)))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_14]),c_0_7]) ).
cnf(c_0_17,plain,
multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(X1),inverse(multiply(inverse(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(X2,a1)),multiply(X2,inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1)))))))),a1)))),multiply(inverse(a1),inverse(multiply(inverse(a1),a1)))))))) = inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,inverse(multiply(inverse(a1),a1))))),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
cnf(c_0_18,plain,
multiply(inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))),multiply(X1,X3)) = multiply(X4,multiply(inverse(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X2)))),X3)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_19,plain,
inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(a1,inverse(multiply(X2,multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),multiply(a1,a1))))),multiply(X1,a1))))),multiply(a1,inverse(multiply(inverse(a1),a1))))) = inverse(multiply(inverse(multiply(a1,multiply(inverse(a1),inverse(multiply(X2,multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1)))))))))),multiply(a1,inverse(multiply(inverse(a1),a1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_4]),c_0_4]),c_0_17]) ).
cnf(c_0_20,plain,
multiply(X1,multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3)))),X4)) = multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,X3)))),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_18]) ).
cnf(c_0_21,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(a1,inverse(multiply(X2,multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),multiply(a1,a1))))),multiply(X1,a1))) = multiply(inverse(a1),inverse(multiply(X2,multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1)))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_19]),c_0_8]) ).
cnf(c_0_22,plain,
multiply(inverse(multiply(inverse(multiply(a1,inverse(multiply(X1,multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),multiply(a1,a1))),multiply(inverse(multiply(inverse(a1),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1))))))))),X2)) = multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,a1)))),X2)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3))) = multiply(inverse(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X5)))),multiply(inverse(X5),inverse(multiply(inverse(X5),X5)))),
inference(spm,[status(thm)],[c_0_4,c_0_3]) ).
cnf(c_0_24,plain,
inverse(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_4]),c_0_4]),c_0_4]),c_0_9]) ).
cnf(c_0_25,plain,
multiply(inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,a1))),multiply(inverse(inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,a1))))),multiply(a1,a1)))),X3)) = multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,a1)))),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_3]) ).
cnf(c_0_26,plain,
multiply(inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,a1))))),multiply(a1,a1)))),X4))),multiply(X1,X5)) = multiply(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,a1)))),X4))),multiply(inverse(multiply(inverse(multiply(a1,X3)),multiply(a1,a1))),X5)),
inference(spm,[status(thm)],[c_0_7,c_0_25]) ).
cnf(c_0_27,plain,
multiply(inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(multiply(a1,multiply(inverse(a1),X2))),multiply(a1,a1)))),X3))),multiply(X1,X4)) = multiply(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,a1)))),X3))),multiply(multiply(inverse(a1),X2),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_10]),c_0_10]) ).
cnf(c_0_28,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,X4))))),multiply(inverse(multiply(X3,X4)),inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X4)))))) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_29,plain,
inverse(multiply(inverse(a1),inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,a1)))),X2))),multiply(multiply(inverse(a1),X3),inverse(multiply(inverse(a1),a1))))))),multiply(X1,a1))))) = inverse(multiply(inverse(a1),multiply(inverse(a1),multiply(inverse(inverse(multiply(inverse(multiply(a1,multiply(inverse(a1),X3))),multiply(a1,a1)))),X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_27]),c_0_17]),c_0_10]) ).
cnf(c_0_30,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,a1)))),X2))),multiply(multiply(inverse(a1),X3),inverse(multiply(inverse(a1),a1))))))),multiply(X1,a1))) = multiply(inverse(a1),multiply(inverse(inverse(multiply(inverse(multiply(a1,multiply(inverse(a1),X3))),multiply(a1,a1)))),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_28]) ).
cnf(c_0_31,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X4,X2)),multiply(X4,X5))) = multiply(inverse(multiply(X6,X3)),multiply(X6,multiply(X1,X5))),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_32,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),multiply(inverse(multiply(X4,X2)),X5)) = multiply(inverse(multiply(X6,multiply(X4,X3))),multiply(X6,X5)),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_33,plain,
multiply(inverse(multiply(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,a1)))),X1))),multiply(multiply(inverse(a1),X2),inverse(multiply(inverse(a1),a1))))),multiply(inverse(multiply(inverse(a1),multiply(inverse(inverse(multiply(inverse(multiply(a1,multiply(inverse(a1),X2))),multiply(a1,a1)))),X1))),X3)) = multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,a1)))),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_30]),c_0_18]) ).
cnf(c_0_34,plain,
multiply(inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(multiply(X2,multiply(inverse(a1),X3))),multiply(X2,a1)))),X4))),multiply(X1,X5)) = multiply(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,a1)))),X4))),multiply(multiply(inverse(a1),X3),X5)),
inference(spm,[status(thm)],[c_0_27,c_0_7]) ).
cnf(c_0_35,plain,
multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X4))) = multiply(inverse(multiply(X5,multiply(X6,X3))),multiply(X5,multiply(X6,X4))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,a1)))),multiply(inverse(a1),X1))) = multiply(inverse(multiply(a1,multiply(a1,inverse(multiply(inverse(a1),a1))))),multiply(a1,multiply(a1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_7]),c_0_34]),c_0_7]),c_0_35]) ).
cnf(c_0_37,plain,
multiply(X1,multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3)))),X4)) = multiply(X5,multiply(inverse(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,X3)))),X4)),
inference(spm,[status(thm)],[c_0_18,c_0_18]) ).
cnf(c_0_38,plain,
multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(X1,a1)),multiply(X1,a1)))),multiply(inverse(a1),X2))) = multiply(inverse(multiply(a1,multiply(a1,inverse(multiply(inverse(a1),a1))))),multiply(a1,multiply(a1,X2))),
inference(spm,[status(thm)],[c_0_36,c_0_7]) ).
cnf(c_0_39,plain,
multiply(X1,multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,a1)))),multiply(inverse(a1),X3))) = multiply(inverse(multiply(a1,multiply(a1,inverse(multiply(inverse(a1),a1))))),multiply(a1,multiply(a1,X3))),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,plain,
multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(X1),inverse(multiply(inverse(inverse(multiply(a1,multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1))))),inverse(multiply(inverse(a1),inverse(multiply(inverse(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1))))),inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1)))))))))),a1)))),multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))))),a1)))),multiply(inverse(a1),inverse(multiply(inverse(a1),a1)))))))) = inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,inverse(multiply(inverse(a1),a1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_3]),c_0_12]) ).
cnf(c_0_41,plain,
multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(multiply(X1,multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X2,X3)))) = multiply(inverse(multiply(a1,multiply(a1,inverse(multiply(inverse(a1),a1))))),multiply(a1,multiply(a1,inverse(multiply(inverse(a1),a1))))),
inference(spm,[status(thm)],[c_0_39,c_0_23]) ).
cnf(c_0_42,plain,
multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(X1),inverse(multiply(inverse(inverse(multiply(X2,multiply(inverse(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1)))))))),a1)))),multiply(inverse(a1),inverse(multiply(inverse(a1),a1)))))))) = inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,inverse(multiply(inverse(a1),a1))))),
inference(spm,[status(thm)],[c_0_17,c_0_37]) ).
cnf(c_0_43,plain,
multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(X1),inverse(multiply(inverse(inverse(multiply(a1,multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1))))),inverse(multiply(inverse(a1),inverse(multiply(inverse(inverse(multiply(a1,multiply(inverse(inverse(multiply(inverse(multiply(X2,a1)),multiply(X2,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1))))),inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1)))))))))),a1)))),multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))))),a1)))),multiply(inverse(a1),inverse(multiply(inverse(a1),a1)))))))) = inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,inverse(multiply(inverse(a1),a1))))),
inference(spm,[status(thm)],[c_0_40,c_0_7]) ).
cnf(c_0_44,plain,
inverse(multiply(inverse(multiply(a1,multiply(a1,inverse(multiply(inverse(a1),a1))))),multiply(a1,multiply(a1,inverse(multiply(inverse(a1),a1)))))) = inverse(multiply(inverse(a1),a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_41]),c_0_42]),c_0_10]) ).
cnf(c_0_45,plain,
inverse(multiply(inverse(multiply(a1,multiply(inverse(multiply(a1,multiply(a1,inverse(multiply(inverse(a1),a1))))),multiply(a1,multiply(a1,inverse(multiply(inverse(a1),a1))))))),multiply(a1,inverse(multiply(inverse(a1),a1))))) = inverse(multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),multiply(a1,inverse(multiply(inverse(a1),a1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_43]) ).
cnf(c_0_46,plain,
multiply(inverse(a1),multiply(inverse(multiply(a1,multiply(a1,inverse(multiply(inverse(a1),a1))))),multiply(a1,multiply(a1,inverse(multiply(inverse(a1),a1)))))) = multiply(inverse(a1),multiply(inverse(a1),a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_45]),c_0_10]) ).
cnf(c_0_47,plain,
multiply(inverse(multiply(a1,multiply(a1,inverse(multiply(inverse(a1),a1))))),multiply(a1,multiply(a1,inverse(multiply(inverse(a1),a1))))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_46]),c_0_28]) ).
cnf(c_0_48,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(fof_simplification,[status(thm)],[prove_these_axioms_1]) ).
cnf(c_0_49,plain,
multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(multiply(X1,multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X2,X3)))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[c_0_41,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
c_0_48 ).
cnf(c_0_51,plain,
multiply(inverse(X1),X1) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_4]),c_0_24]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_50,c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP421-1 : TPTP v8.2.0. Released v2.6.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun May 19 05:57:37 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.94/1.35 # Version: 3.1.0
% 6.94/1.35 # Preprocessing class: FSSSSMSSSSSNFFN.
% 6.94/1.35 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.94/1.35 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 6.94/1.35 # Starting new_bool_3 with 300s (1) cores
% 6.94/1.35 # Starting new_bool_1 with 300s (1) cores
% 6.94/1.35 # Starting sh5l with 300s (1) cores
% 6.94/1.35 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 4746 completed with status 0
% 6.94/1.35 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 6.94/1.35 # Preprocessing class: FSSSSMSSSSSNFFN.
% 6.94/1.35 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.94/1.35 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 6.94/1.35 # No SInE strategy applied
% 6.94/1.35 # Search class: FUUPF-FFSF21-DFFFFFNN
% 6.94/1.35 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.94/1.35 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 6.94/1.35 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 6.94/1.35 # Starting new_bool_3 with 136s (1) cores
% 6.94/1.35 # Starting new_bool_1 with 136s (1) cores
% 6.94/1.35 # Starting sh5l with 136s (1) cores
% 6.94/1.35 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 4753 completed with status 0
% 6.94/1.35 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 6.94/1.35 # Preprocessing class: FSSSSMSSSSSNFFN.
% 6.94/1.35 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.94/1.35 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 6.94/1.35 # No SInE strategy applied
% 6.94/1.35 # Search class: FUUPF-FFSF21-DFFFFFNN
% 6.94/1.35 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.94/1.35 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 6.94/1.35 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 6.94/1.35 # Preprocessing time : 0.001 s
% 6.94/1.35
% 6.94/1.35 # Proof found!
% 6.94/1.35 # SZS status Unsatisfiable
% 6.94/1.35 # SZS output start CNFRefutation
% See solution above
% 6.94/1.35 # Parsed axioms : 2
% 6.94/1.35 # Removed by relevancy pruning/SinE : 0
% 6.94/1.35 # Initial clauses : 2
% 6.94/1.35 # Removed in clause preprocessing : 0
% 6.94/1.35 # Initial clauses in saturation : 2
% 6.94/1.35 # Processed clauses : 558
% 6.94/1.35 # ...of these trivial : 158
% 6.94/1.35 # ...subsumed : 302
% 6.94/1.35 # ...remaining for further processing : 98
% 6.94/1.35 # Other redundant clauses eliminated : 0
% 6.94/1.35 # Clauses deleted for lack of memory : 0
% 6.94/1.35 # Backward-subsumed : 4
% 6.94/1.35 # Backward-rewritten : 31
% 6.94/1.35 # Generated clauses : 26658
% 6.94/1.35 # ...of the previous two non-redundant : 25222
% 6.94/1.35 # ...aggressively subsumed : 0
% 6.94/1.35 # Contextual simplify-reflections : 0
% 6.94/1.35 # Paramodulations : 26657
% 6.94/1.35 # Factorizations : 0
% 6.94/1.35 # NegExts : 0
% 6.94/1.35 # Equation resolutions : 0
% 6.94/1.35 # Disequality decompositions : 0
% 6.94/1.35 # Total rewrite steps : 3970
% 6.94/1.35 # ...of those cached : 2362
% 6.94/1.35 # Propositional unsat checks : 0
% 6.94/1.35 # Propositional check models : 0
% 6.94/1.35 # Propositional check unsatisfiable : 0
% 6.94/1.35 # Propositional clauses : 0
% 6.94/1.35 # Propositional clauses after purity: 0
% 6.94/1.35 # Propositional unsat core size : 0
% 6.94/1.35 # Propositional preprocessing time : 0.000
% 6.94/1.35 # Propositional encoding time : 0.000
% 6.94/1.35 # Propositional solver time : 0.000
% 6.94/1.35 # Success case prop preproc time : 0.000
% 6.94/1.35 # Success case prop encoding time : 0.000
% 6.94/1.35 # Success case prop solver time : 0.000
% 6.94/1.35 # Current number of processed clauses : 62
% 6.94/1.35 # Positive orientable unit clauses : 33
% 6.94/1.35 # Positive unorientable unit clauses: 29
% 6.94/1.35 # Negative unit clauses : 0
% 6.94/1.35 # Non-unit-clauses : 0
% 6.94/1.35 # Current number of unprocessed clauses: 24464
% 6.94/1.35 # ...number of literals in the above : 24464
% 6.94/1.35 # Current number of archived formulas : 0
% 6.94/1.35 # Current number of archived clauses : 36
% 6.94/1.35 # Clause-clause subsumption calls (NU) : 0
% 6.94/1.35 # Rec. Clause-clause subsumption calls : 0
% 6.94/1.35 # Non-unit clause-clause subsumptions : 0
% 6.94/1.35 # Unit Clause-clause subsumption calls : 348
% 6.94/1.35 # Rewrite failures with RHS unbound : 0
% 6.94/1.35 # BW rewrite match attempts : 1448
% 6.94/1.35 # BW rewrite match successes : 97
% 6.94/1.35 # Condensation attempts : 0
% 6.94/1.35 # Condensation successes : 0
% 6.94/1.35 # Termbank termtop insertions : 1724153
% 6.94/1.35 # Search garbage collected termcells : 2
% 6.94/1.35
% 6.94/1.35 # -------------------------------------------------
% 6.94/1.35 # User time : 0.839 s
% 6.94/1.35 # System time : 0.029 s
% 6.94/1.35 # Total time : 0.868 s
% 6.94/1.35 # Maximum resident set size: 1544 pages
% 6.94/1.35
% 6.94/1.35 # -------------------------------------------------
% 6.94/1.35 # User time : 4.231 s
% 6.94/1.35 # System time : 0.081 s
% 6.94/1.35 # Total time : 4.312 s
% 6.94/1.35 # Maximum resident set size: 1688 pages
% 6.94/1.35 % E---3.1 exiting
% 6.94/1.35 % E exiting
%------------------------------------------------------------------------------