TSTP Solution File: GRP055-1 by E-SAT---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GRP055-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 20:52:31 EDT 2024
% Result : Unsatisfiable 54.13s 7.26s
% Output : CNFRefutation 54.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% 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,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
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,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_4,plain,
multiply(inverse(multiply(a1,inverse(multiply(inverse(inverse(X1)),multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),multiply(a1,a1)) = X1,
inference(rw,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,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_6,plain,
multiply(inverse(multiply(a1,X1)),multiply(a1,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_5]),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(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_8,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),multiply(X1,a1)) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_9,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),X3)),X2)) = inverse(multiply(inverse(multiply(a1,X3)),multiply(a1,multiply(X1,a1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_8]),c_0_5]) ).
cnf(c_0_10,plain,
inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(multiply(a1,multiply(X2,a1))),multiply(a1,multiply(X2,a1)))),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_11,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(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_3,c_0_3]),c_0_3]),c_0_3]),c_0_4]) ).
cnf(c_0_12,plain,
multiply(inverse(a1),a1) = multiply(inverse(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_10]),c_0_10]),c_0_8]) ).
cnf(c_0_13,plain,
inverse(multiply(inverse(multiply(X1,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X2,X4)))),multiply(X1,X5))) = multiply(inverse(X5),inverse(multiply(X3,multiply(inverse(inverse(multiply(inverse(X5),X5))),inverse(multiply(inverse(a1),a1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_10]),c_0_10]),c_0_11]) ).
cnf(c_0_14,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_12,c_0_12]) ).
cnf(c_0_15,plain,
inverse(multiply(X1,multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4))) = inverse(multiply(inverse(multiply(a1,multiply(X2,X3))),multiply(a1,X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_3]),c_0_3]),c_0_3]),c_0_5]),c_0_4]) ).
cnf(c_0_16,plain,
inverse(multiply(inverse(X1),X1)) = multiply(X2,inverse(multiply(X2,multiply(inverse(a1),a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_3]),c_0_8]),c_0_3]),c_0_8]),c_0_15]),c_0_14]),c_0_12]) ).
cnf(c_0_17,plain,
inverse(multiply(inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(X3,multiply(inverse(a1),a1)))))),multiply(X1,X2))) = multiply(inverse(X2),multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X4,X5))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_3]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_12]),c_0_12]) ).
cnf(c_0_18,plain,
inverse(multiply(inverse(multiply(inverse(a1),a1)),multiply(inverse(X1),X1))) = inverse(multiply(inverse(a1),a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_19,plain,
inverse(multiply(inverse(a1),a1)) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14]),c_0_14]),c_0_11]),c_0_14]) ).
cnf(c_0_20,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(inverse(X3),X4))) = inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))))))),multiply(a1,X4))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_5]),c_0_5]) ).
cnf(c_0_21,plain,
inverse(multiply(inverse(X1),X1)) = multiply(inverse(X1),X1),
inference(spm,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_22,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_3]),c_0_3]),c_0_3]),c_0_4]) ).
cnf(c_0_23,plain,
multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),multiply(inverse(a1),multiply(inverse(a1),a1)))))),multiply(a1,a1)) = multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(a1,X2)),multiply(a1,X3))),multiply(inverse(X5),multiply(inverse(X5),X5)))))),multiply(X4,X5)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_5]),c_0_3]),c_0_5]),c_0_21]),c_0_21]) ).
cnf(c_0_24,plain,
multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),multiply(inverse(a1),multiply(inverse(a1),a1)))))),multiply(a1,a1)) = multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3)))),multiply(inverse(X3),multiply(inverse(X3),X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_5]),c_0_3]),c_0_21]),c_0_21]) ).
cnf(c_0_25,plain,
inverse(multiply(multiply(inverse(a1),a1),multiply(inverse(X1),multiply(inverse(X1),X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_21]),c_0_12]),c_0_21]),c_0_21]) ).
cnf(c_0_26,plain,
multiply(inverse(inverse(multiply(inverse(multiply(a1,multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(a1,a1)))),multiply(inverse(a1),multiply(inverse(a1),a1))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(a1,X2)),multiply(a1,X3))),multiply(inverse(X5),multiply(inverse(X5),X5)))))),multiply(X4,X5)),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
inverse(multiply(multiply(inverse(a1),a1),multiply(inverse(X1),multiply(inverse(X2),X2)))) = X1,
inference(spm,[status(thm)],[c_0_25,c_0_14]) ).
cnf(c_0_28,plain,
multiply(inverse(inverse(multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),multiply(a1,a1)))),multiply(inverse(a1),multiply(inverse(a1),a1))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_21]),c_0_12]),c_0_14]),c_0_27]),c_0_14]) ).
cnf(c_0_29,plain,
multiply(inverse(inverse(multiply(inverse(multiply(a1,multiply(inverse(X1),X2))),multiply(a1,a1)))),multiply(inverse(a1),multiply(inverse(a1),a1))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,multiply(inverse(X1),X1)))))),multiply(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_3]),c_0_21]),c_0_24]),c_0_21]) ).
cnf(c_0_30,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(inverse(X3),multiply(inverse(X3),X3)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_5]),c_0_21]),c_0_11]) ).
cnf(c_0_31,plain,
multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,multiply(inverse(a1),a1)))))),multiply(a1,a1)) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,multiply(inverse(a1),a1)))) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_21]),c_0_21]),c_0_25]) ).
cnf(c_0_33,plain,
multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),multiply(inverse(X2),X2)),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_34,plain,
inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,multiply(inverse(X1),X1)))) = a1,
inference(spm,[status(thm)],[c_0_32,c_0_14]) ).
cnf(c_0_35,plain,
inverse(multiply(inverse(a1),multiply(inverse(a1),a1))) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_32]),c_0_21]),c_0_14]),c_0_33]) ).
cnf(c_0_36,plain,
inverse(multiply(inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,X2))),multiply(inverse(multiply(X3,X1)),X4))) = inverse(multiply(inverse(multiply(a1,multiply(X3,X2))),multiply(a1,X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_5]),c_0_5]),c_0_5]) ).
cnf(c_0_37,plain,
inverse(multiply(inverse(multiply(X1,multiply(multiply(inverse(X2),X2),X3))),multiply(X1,X2))) = multiply(inverse(X2),inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,multiply(inverse(a1),a1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_7]),c_0_21]),c_0_21]),c_0_10]),c_0_10]),c_0_21]) ).
cnf(c_0_38,plain,
inverse(multiply(inverse(a1),multiply(multiply(inverse(X1),X1),multiply(inverse(a1),a1)))) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_34]),c_0_21]),c_0_21]),c_0_33]) ).
cnf(c_0_39,plain,
inverse(multiply(inverse(a1),multiply(inverse(X1),X1))) = a1,
inference(spm,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_40,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(multiply(inverse(multiply(a1,X3)),multiply(a1,X4))),multiply(inverse(a1),a1)))))),multiply(X1,multiply(inverse(multiply(X5,X3)),multiply(X5,X4))))) = multiply(inverse(multiply(X6,inverse(multiply(inverse(X2),multiply(inverse(X7),multiply(inverse(X7),X7)))))),multiply(X6,X7)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_5]),c_0_5]),c_0_5]),c_0_36]),c_0_14]),c_0_21]),c_0_21]) ).
cnf(c_0_41,plain,
inverse(multiply(inverse(multiply(X1,a1)),multiply(X1,multiply(inverse(X2),X2)))) = a1,
inference(spm,[status(thm)],[c_0_34,c_0_7]) ).
cnf(c_0_42,plain,
inverse(multiply(a1,multiply(inverse(a1),X1))) = multiply(inverse(X1),multiply(inverse(a1),a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_14]),c_0_21]) ).
cnf(c_0_43,plain,
multiply(a1,multiply(inverse(a1),multiply(inverse(X1),X1))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_39]),c_0_33]) ).
cnf(c_0_44,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3)))))),multiply(X1,X3)) = multiply(inverse(inverse(multiply(inverse(multiply(a1,X2)),multiply(a1,a1)))),multiply(inverse(a1),multiply(inverse(a1),a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_5]),c_0_5]),c_0_5]),c_0_36]),c_0_14]),c_0_21]),c_0_40]),c_0_24]),c_0_21]) ).
cnf(c_0_45,plain,
multiply(multiply(inverse(X1),X1),a1) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_41]),c_0_21]),c_0_14]),c_0_21]),c_0_21]),c_0_14]),c_0_21]),c_0_21]),c_0_14]),c_0_21]),c_0_33]),c_0_21]),c_0_33]),c_0_39]) ).
cnf(c_0_46,plain,
multiply(multiply(inverse(X1),X1),multiply(inverse(a1),a1)) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_21]),c_0_21]) ).
cnf(c_0_47,plain,
multiply(inverse(inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,a1)))),multiply(inverse(a1),multiply(inverse(a1),a1))) = multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3)))),multiply(inverse(X3),multiply(inverse(X3),X3))),
inference(rw,[status(thm)],[c_0_24,c_0_44]) ).
cnf(c_0_48,plain,
inverse(multiply(inverse(multiply(X1,a1)),multiply(X1,X2))) = multiply(inverse(X2),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_45]),c_0_45]),c_0_46]),c_0_39]) ).
cnf(c_0_49,plain,
multiply(multiply(inverse(a1),a1),multiply(inverse(a1),multiply(inverse(a1),a1))) = multiply(inverse(a1),multiply(inverse(a1),a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_32]),c_0_14]),c_0_21]),c_0_21]),c_0_21]),c_0_14]),c_0_33]) ).
cnf(c_0_50,plain,
inverse(multiply(inverse(a1),multiply(inverse(a1),multiply(inverse(a1),a1)))) = multiply(a1,a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_45]),c_0_39]) ).
cnf(c_0_51,plain,
inverse(multiply(inverse(a1),multiply(inverse(a1),multiply(inverse(X1),X1)))) = multiply(a1,a1),
inference(spm,[status(thm)],[c_0_50,c_0_14]) ).
cnf(c_0_52,plain,
inverse(multiply(a1,multiply(inverse(a1),multiply(inverse(a1),a1)))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_39]),c_0_21]),c_0_11]),c_0_33]) ).
cnf(c_0_53,plain,
inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X2),multiply(inverse(X3),X3)))) = X2,
inference(spm,[status(thm)],[c_0_27,c_0_14]) ).
cnf(c_0_54,plain,
multiply(inverse(multiply(X1,multiply(a1,a1))),multiply(X1,a1)) = multiply(inverse(a1),multiply(inverse(a1),a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_51]),c_0_14]),c_0_21]),c_0_21]),c_0_49]) ).
cnf(c_0_55,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_56,plain,
multiply(a1,multiply(inverse(a1),multiply(inverse(a1),a1))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_52]),c_0_21]),c_0_21]),c_0_25]),c_0_12]) ).
cnf(c_0_57,plain,
multiply(inverse(a1),multiply(a1,a1)) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_53]) ).
cnf(c_0_58,plain,
multiply(multiply(inverse(a1),a1),multiply(a1,X1)) = multiply(a1,multiply(multiply(inverse(a1),a1),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_49]),c_0_55]),c_0_56]),c_0_21]),c_0_39]) ).
cnf(c_0_59,plain,
multiply(inverse(multiply(a1,a1)),a1) = inverse(a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_57]),c_0_21]),c_0_45]) ).
cnf(c_0_60,plain,
multiply(inverse(a1),multiply(inverse(a1),a1)) = inverse(a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_58]),c_0_45]),c_0_45]),c_0_59]) ).
cnf(c_0_61,plain,
inverse(inverse(a1)) = a1,
inference(spm,[status(thm)],[c_0_39,c_0_60]) ).
cnf(c_0_62,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(a1),a1))))),multiply(X1,X3)) = multiply(inverse(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X5)))),multiply(inverse(X5),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_5]),c_0_21]),c_0_21]),c_0_10]),c_0_10]),c_0_21]),c_0_46]) ).
cnf(c_0_63,plain,
inverse(multiply(a1,multiply(inverse(X1),X1))) = multiply(inverse(a1),multiply(inverse(a1),a1)),
inference(spm,[status(thm)],[c_0_42,c_0_14]) ).
cnf(c_0_64,plain,
multiply(inverse(X1),X1) = multiply(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_14,c_0_61]) ).
cnf(c_0_65,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_43,c_0_60]) ).
cnf(c_0_66,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(inverse(X3),X4)) = multiply(inverse(inverse(multiply(inverse(multiply(a1,X2)),multiply(a1,a1)))),multiply(inverse(a1),X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_5]),c_0_21]),c_0_21]),c_0_14]),c_0_21]),c_0_46]),c_0_62]) ).
cnf(c_0_67,plain,
inverse(multiply(a1,inverse(a1))) = multiply(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_21,c_0_61]) ).
cnf(c_0_68,plain,
inverse(multiply(a1,multiply(a1,inverse(a1)))) = inverse(a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_60]),c_0_64]) ).
cnf(c_0_69,plain,
multiply(inverse(a1),multiply(a1,inverse(a1))) = inverse(a1),
inference(rw,[status(thm)],[c_0_60,c_0_65]) ).
cnf(c_0_70,plain,
multiply(multiply(a1,inverse(a1)),inverse(a1)) = inverse(a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_61]),c_0_21]),c_0_44]),c_0_14]),c_0_21]),c_0_21]),c_0_60]),c_0_65]) ).
cnf(c_0_71,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),inverse(multiply(X3,multiply(inverse(multiply(X1,X4)),multiply(inverse(a1),a1)))))),multiply(inverse(multiply(X5,X2)),multiply(X5,X4)))) = multiply(inverse(inverse(multiply(inverse(multiply(a1,X3)),multiply(a1,a1)))),multiply(inverse(a1),multiply(inverse(a1),a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_14]),c_0_21]),c_0_21]),c_0_44]) ).
cnf(c_0_72,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X4,X2)),multiply(X4,X5)))) = inverse(multiply(inverse(multiply(a1,X3)),multiply(a1,multiply(X1,X5)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_7]),c_0_5]) ).
cnf(c_0_73,plain,
multiply(multiply(inverse(a1),a1),multiply(inverse(a1),X1)) = multiply(inverse(multiply(a1,a1)),multiply(a1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_31]),c_0_34]),c_0_48]),c_0_7]),c_0_21]),c_0_21]) ).
cnf(c_0_74,plain,
inverse(multiply(multiply(a1,inverse(a1)),multiply(inverse(X1),multiply(a1,inverse(a1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_64]),c_0_67]),c_0_67]),c_0_64]) ).
cnf(c_0_75,plain,
multiply(a1,multiply(a1,inverse(a1))) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_68]),c_0_64]),c_0_64]),c_0_69]),c_0_70]),c_0_61]) ).
cnf(c_0_76,plain,
inverse(multiply(inverse(multiply(a1,inverse(multiply(X1,multiply(inverse(multiply(X2,X3)),multiply(inverse(a1),a1)))))),multiply(a1,multiply(X2,X3)))) = multiply(inverse(inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,a1)))),multiply(inverse(a1),multiply(inverse(a1),a1))),
inference(rw,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(a1,inverse(a1))))))),multiply(X1,X3)) = multiply(inverse(inverse(multiply(inverse(multiply(a1,X2)),multiply(a1,a1)))),inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_60]),c_0_64]) ).
cnf(c_0_78,plain,
multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X3),multiply(a1,inverse(a1))))))),multiply(X1,X3)) = multiply(inverse(multiply(a1,inverse(multiply(X2,inverse(a1))))),multiply(a1,a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_22]),c_0_3]),c_0_22]),c_0_21]),c_0_64]),c_0_69]),c_0_21]),c_0_64]) ).
cnf(c_0_79,plain,
inverse(multiply(inverse(multiply(inverse(X1),a1)),multiply(inverse(a1),a1))) = multiply(inverse(X1),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_33]),c_0_33]) ).
cnf(c_0_80,plain,
multiply(inverse(multiply(a1,a1)),multiply(a1,multiply(a1,a1))) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_57]),c_0_45]) ).
cnf(c_0_81,plain,
inverse(multiply(inverse(multiply(a1,multiply(X1,X2))),a1)) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_74]),c_0_67]),c_0_21]),c_0_64]),c_0_74]),c_0_75]) ).
cnf(c_0_82,plain,
inverse(multiply(inverse(multiply(a1,inverse(multiply(X1,multiply(inverse(multiply(X2,X3)),multiply(a1,inverse(a1))))))),multiply(a1,multiply(X2,X3)))) = multiply(inverse(inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,a1)))),inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_60]),c_0_64]) ).
cnf(c_0_83,plain,
multiply(inverse(inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,a1)))),inverse(a1)) = multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),inverse(a1))))),multiply(a1,a1)),
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,plain,
inverse(multiply(inverse(multiply(X1,a1)),multiply(inverse(a1),a1))) = multiply(X1,a1),
inference(spm,[status(thm)],[c_0_79,c_0_53]) ).
cnf(c_0_85,plain,
multiply(inverse(multiply(X1,a1)),multiply(X1,multiply(a1,a1))) = a1,
inference(spm,[status(thm)],[c_0_7,c_0_80]) ).
cnf(c_0_86,plain,
multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_64]),c_0_64]),c_0_64]),c_0_67]),c_0_21]),c_0_64]),c_0_11]),c_0_64]) ).
cnf(c_0_87,plain,
inverse(multiply(inverse(multiply(a1,X1)),a1)) = X1,
inference(spm,[status(thm)],[c_0_81,c_0_11]) ).
cnf(c_0_88,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(inverse(multiply(X3,X4)),multiply(X3,X5)))))),multiply(inverse(multiply(inverse(multiply(a1,X4)),multiply(a1,X5))),X6))) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(a1,X2)),multiply(a1,a1)))),multiply(inverse(a1),X6))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_5]),c_0_5]),c_0_5]),c_0_5]),c_0_5]),c_0_36]),c_0_14]),c_0_21]),c_0_21]),c_0_14]),c_0_21]),c_0_33]),c_0_62]) ).
cnf(c_0_89,plain,
inverse(multiply(inverse(multiply(a1,inverse(multiply(X1,inverse(a1))))),multiply(a1,a1))) = multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),inverse(a1))))),multiply(a1,a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_78]),c_0_83]) ).
cnf(c_0_90,plain,
inverse(multiply(inverse(multiply(X1,a1)),multiply(inverse(X2),X2))) = multiply(X1,a1),
inference(spm,[status(thm)],[c_0_84,c_0_14]) ).
cnf(c_0_91,plain,
inverse(multiply(a1,multiply(inverse(multiply(a1,a1)),X1))) = multiply(inverse(X1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_85]),c_0_61]),c_0_14]),c_0_64]),c_0_67]),c_0_67]),c_0_14]),c_0_64]),c_0_67]),c_0_67]),c_0_14]),c_0_64]),c_0_67]),c_0_86]),c_0_67]),c_0_86]),c_0_69]),c_0_61]),c_0_48]) ).
cnf(c_0_92,plain,
multiply(X1,multiply(inverse(multiply(a1,X1)),multiply(a1,a1))) = a1,
inference(spm,[status(thm)],[c_0_85,c_0_87]) ).
cnf(c_0_93,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(inverse(X3),multiply(a1,inverse(a1)))) = multiply(inverse(inverse(multiply(inverse(multiply(a1,X2)),multiply(a1,a1)))),inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_60]),c_0_64]) ).
cnf(c_0_94,plain,
multiply(inverse(multiply(a1,inverse(multiply(inverse(inverse(X1)),inverse(a1))))),multiply(a1,a1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_5]),c_0_5]),c_0_5]),c_0_36]),c_0_14]),c_0_64]),c_0_67]),c_0_88]),c_0_69]),c_0_83]),c_0_89]) ).
cnf(c_0_95,plain,
multiply(multiply(a1,inverse(a1)),multiply(a1,X1)) = multiply(a1,multiply(multiply(a1,inverse(a1)),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_65]),c_0_65]) ).
cnf(c_0_96,plain,
inverse(multiply(X1,multiply(a1,inverse(a1)))) = multiply(inverse(multiply(a1,X1)),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_87]),c_0_64]) ).
cnf(c_0_97,plain,
inverse(multiply(multiply(inverse(X1),a1),a1)) = multiply(inverse(multiply(a1,a1)),X1),
inference(spm,[status(thm)],[c_0_87,c_0_91]) ).
cnf(c_0_98,plain,
multiply(inverse(multiply(a1,inverse(X1))),a1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_92]),c_0_14]),c_0_64]),c_0_93]),c_0_83]),c_0_89]),c_0_94]),c_0_21]),c_0_64]),c_0_67]),c_0_10]),c_0_10]),c_0_21]),c_0_64]),c_0_95]),c_0_70]),c_0_96]),c_0_87]) ).
cnf(c_0_99,plain,
multiply(inverse(multiply(a1,a1)),multiply(a1,inverse(X1))) = inverse(multiply(X1,a1)),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_100,plain,
inverse(inverse(multiply(X1,a1))) = multiply(inverse(inverse(X1)),a1),
inference(spm,[status(thm)],[c_0_48,c_0_99]) ).
cnf(c_0_101,plain,
inverse(multiply(inverse(a1),multiply(multiply(inverse(X1),X1),X2))) = multiply(inverse(X2),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_45]),c_0_21]),c_0_21]),c_0_10]),c_0_10]),c_0_21]),c_0_46]),c_0_39]) ).
cnf(c_0_102,plain,
multiply(inverse(inverse(inverse(multiply(a1,X1)))),a1) = inverse(X1),
inference(spm,[status(thm)],[c_0_100,c_0_87]) ).
cnf(c_0_103,plain,
inverse(multiply(a1,multiply(inverse(a1),X1))) = multiply(inverse(X1),multiply(a1,inverse(a1))),
inference(rw,[status(thm)],[c_0_42,c_0_65]) ).
cnf(c_0_104,plain,
inverse(multiply(inverse(a1),multiply(multiply(a1,inverse(a1)),X1))) = multiply(inverse(X1),a1),
inference(spm,[status(thm)],[c_0_101,c_0_61]) ).
cnf(c_0_105,plain,
inverse(multiply(inverse(a1),X1)) = multiply(inverse(X1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_96]),c_0_98]) ).
cnf(c_0_106,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X4),X4)))))),multiply(X1,X4))) = multiply(inverse(inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(X4),X3)))),multiply(a1,a1)))),multiply(inverse(a1),multiply(inverse(a1),a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_21]),c_0_21]),c_0_44]) ).
cnf(c_0_107,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X4),X4)))))),multiply(X1,X4))) = multiply(inverse(X4),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_20]),c_0_3]),c_0_3]),c_0_3]),c_0_8]),c_0_21]) ).
cnf(c_0_108,plain,
inverse(multiply(a1,inverse(multiply(X1,a1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_99]),c_0_59]),c_0_61]),c_0_98]) ).
cnf(c_0_109,plain,
multiply(inverse(multiply(multiply(a1,inverse(a1)),X1)),a1) = multiply(inverse(X1),a1),
inference(rw,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_110,plain,
multiply(inverse(inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),X2)))),multiply(a1,a1)))),multiply(inverse(a1),multiply(inverse(a1),a1))) = multiply(inverse(X1),X2),
inference(rw,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,plain,
inverse(multiply(multiply(a1,inverse(a1)),X1)) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_108]) ).
cnf(c_0_112,plain,
multiply(inverse(multiply(X1,multiply(a1,inverse(a1)))),multiply(X1,a1)) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_103]),c_0_14]),c_0_64]),c_0_67]),c_0_75]),c_0_57]) ).
cnf(c_0_113,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,multiply(multiply(inverse(X2),X2),X3))),multiply(X1,X2)))),multiply(inverse(X2),X4))) = inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,multiply(inverse(a1),a1)))))),multiply(a1,X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_7]),c_0_21]),c_0_21]),c_0_10]),c_0_10]),c_0_21]) ).
cnf(c_0_114,plain,
multiply(inverse(inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),X2)))),multiply(a1,a1)))),inverse(a1)) = multiply(inverse(X1),X2),
inference(rw,[status(thm)],[c_0_110,c_0_60]) ).
cnf(c_0_115,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(a1,X2)),multiply(a1,inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3))) = multiply(inverse(X3),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_3]),c_0_5]),c_0_3]),c_0_3]),c_0_8]) ).
cnf(c_0_116,plain,
multiply(multiply(a1,inverse(a1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_111]),c_0_11]) ).
cnf(c_0_117,plain,
inverse(multiply(inverse(a1),multiply(a1,X1))) = multiply(inverse(X1),multiply(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_112]),c_0_61]),c_0_42]),c_0_64]),c_0_67]),c_0_21]),c_0_64]),c_0_67]),c_0_10]),c_0_10]),c_0_21]),c_0_64]),c_0_95]),c_0_70]),c_0_95]),c_0_70]),c_0_67]),c_0_75]) ).
cnf(c_0_118,plain,
multiply(inverse(multiply(inverse(a1),X1)),inverse(a1)) = multiply(inverse(multiply(a1,X1)),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_113]),c_0_113]),c_0_64]),c_0_75]),c_0_93]),c_0_114]),c_0_107]) ).
cnf(c_0_119,plain,
inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_21]),c_0_64]),c_0_75]),c_0_87]),c_0_116]) ).
cnf(c_0_120,plain,
multiply(inverse(X1),multiply(a1,inverse(a1))) = multiply(inverse(multiply(a1,X1)),a1),
inference(rw,[status(thm)],[c_0_117,c_0_105]) ).
cnf(c_0_121,plain,
multiply(multiply(inverse(X1),a1),inverse(a1)) = multiply(inverse(multiply(a1,X1)),a1),
inference(rw,[status(thm)],[c_0_118,c_0_105]) ).
cnf(c_0_122,plain,
multiply(inverse(multiply(a1,X1)),a1) = inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_119]),c_0_42]),c_0_64]),c_0_120]) ).
cnf(c_0_123,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(fof_simplification,[status(thm)],[prove_these_axioms]) ).
cnf(c_0_124,plain,
multiply(inverse(X1),inverse(a1)) = inverse(multiply(a1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_102]),c_0_98]) ).
cnf(c_0_125,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[c_0_98,c_0_122]) ).
cnf(c_0_126,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
c_0_123 ).
cnf(c_0_127,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(inverse(X3),multiply(a1,inverse(a1)))) = multiply(inverse(multiply(a1,inverse(multiply(inverse(X2),inverse(a1))))),multiply(a1,a1)),
inference(rw,[status(thm)],[c_0_93,c_0_83]) ).
cnf(c_0_128,plain,
inverse(inverse(multiply(a1,X1))) = multiply(a1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_124]),c_0_61]) ).
cnf(c_0_129,plain,
multiply(inverse(multiply(a1,multiply(a1,X1))),multiply(a1,a1)) = inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_124]),c_0_124]),c_0_119]),c_0_91]),c_0_122]),c_0_125]) ).
cnf(c_0_130,plain,
multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
inference(spm,[status(thm)],[c_0_119,c_0_125]) ).
cnf(c_0_131,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2 ),
inference(sr,[status(thm)],[c_0_126,c_0_12]) ).
cnf(c_0_132,plain,
multiply(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)),inverse(X3)) = inverse(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_120]),c_0_124]),c_0_125]),c_0_122]),c_0_128]),c_0_129]) ).
cnf(c_0_133,plain,
multiply(X1,multiply(X2,inverse(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_130]),c_0_64]),c_0_120]),c_0_122]),c_0_130]),c_0_125]) ).
cnf(c_0_134,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(X3,inverse(multiply(X3,multiply(inverse(multiply(a1,inverse(multiply(inverse(X3),inverse(a1))))),multiply(a1,a1))))))))),multiply(X1,multiply(inverse(multiply(a1,inverse(multiply(inverse(X3),inverse(a1))))),multiply(a1,a1))))) = multiply(inverse(multiply(a1,inverse(multiply(inverse(X2),inverse(a1))))),multiply(a1,a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_22]),c_0_21]),c_0_64]),c_0_93]),c_0_83]),c_0_21]),c_0_64]),c_0_93]),c_0_83]),c_0_21]),c_0_64]),c_0_77]),c_0_83]) ).
cnf(c_0_135,plain,
inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_53]),c_0_64]),c_0_64]),c_0_120]),c_0_122]),c_0_116]) ).
cnf(c_0_136,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(X1),X1),a2) != a2 ),
inference(spm,[status(thm)],[c_0_131,c_0_14]) ).
cnf(c_0_137,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_125]) ).
cnf(c_0_138,plain,
multiply(multiply(X1,inverse(X2)),multiply(X2,inverse(multiply(X3,X1)))) = inverse(X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_119]),c_0_124]),c_0_124]),c_0_124]),c_0_128]),c_0_129]),c_0_135]),c_0_128]),c_0_129]),c_0_135]),c_0_133]),c_0_128]),c_0_129]) ).
cnf(c_0_139,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a1,inverse(a1)),a2) != a2 ),
inference(spm,[status(thm)],[c_0_136,c_0_61]) ).
cnf(c_0_140,plain,
multiply(multiply(X1,X2),inverse(X3)) = multiply(X1,multiply(X2,inverse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_125]),c_0_135]) ).
cnf(c_0_141,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_116])]) ).
cnf(c_0_142,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(spm,[status(thm)],[c_0_140,c_0_53]) ).
cnf(c_0_143,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP055-1 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n024.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 05:51:22 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.19/0.45 Running first-order model finding
% 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.13/7.26 # Version: 3.1.0
% 54.13/7.26 # Preprocessing class: FSSSSMSSSSSNFFN.
% 54.13/7.26 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.13/7.26 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 54.13/7.26 # Starting new_bool_3 with 300s (1) cores
% 54.13/7.26 # Starting new_bool_1 with 300s (1) cores
% 54.13/7.26 # Starting sh5l with 300s (1) cores
% 54.13/7.26 # sh5l with pid 27217 completed with status 0
% 54.13/7.26 # Result found by sh5l
% 54.13/7.26 # Preprocessing class: FSSSSMSSSSSNFFN.
% 54.13/7.26 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.13/7.26 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 54.13/7.26 # Starting new_bool_3 with 300s (1) cores
% 54.13/7.26 # Starting new_bool_1 with 300s (1) cores
% 54.13/7.26 # Starting sh5l with 300s (1) cores
% 54.13/7.26 # SinE strategy is gf500_gu_R04_F100_L20000
% 54.13/7.26 # Search class: FUHPF-FFSF21-DFFFFFNN
% 54.13/7.26 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 54.13/7.26 # Starting G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A with 181s (1) cores
% 54.13/7.26 # G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A with pid 27219 completed with status 0
% 54.13/7.26 # Result found by G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A
% 54.13/7.26 # Preprocessing class: FSSSSMSSSSSNFFN.
% 54.13/7.26 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.13/7.26 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 54.13/7.26 # Starting new_bool_3 with 300s (1) cores
% 54.13/7.26 # Starting new_bool_1 with 300s (1) cores
% 54.13/7.26 # Starting sh5l with 300s (1) cores
% 54.13/7.26 # SinE strategy is gf500_gu_R04_F100_L20000
% 54.13/7.26 # Search class: FUHPF-FFSF21-DFFFFFNN
% 54.13/7.26 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 54.13/7.26 # Starting G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A with 181s (1) cores
% 54.13/7.26 # Preprocessing time : 0.001 s
% 54.13/7.26 # Presaturation interreduction done
% 54.13/7.26
% 54.13/7.26 # Proof found!
% 54.13/7.26 # SZS status Unsatisfiable
% 54.13/7.26 # SZS output start CNFRefutation
% See solution above
% 54.13/7.26 # Parsed axioms : 2
% 54.13/7.26 # Removed by relevancy pruning/SinE : 0
% 54.13/7.26 # Initial clauses : 2
% 54.13/7.26 # Removed in clause preprocessing : 0
% 54.13/7.26 # Initial clauses in saturation : 2
% 54.13/7.26 # Processed clauses : 2957
% 54.13/7.26 # ...of these trivial : 266
% 54.13/7.26 # ...subsumed : 2173
% 54.13/7.26 # ...remaining for further processing : 518
% 54.13/7.26 # Other redundant clauses eliminated : 0
% 54.13/7.26 # Clauses deleted for lack of memory : 0
% 54.13/7.26 # Backward-subsumed : 98
% 54.13/7.26 # Backward-rewritten : 383
% 54.13/7.26 # Generated clauses : 143444
% 54.13/7.26 # ...of the previous two non-redundant : 131998
% 54.13/7.26 # ...aggressively subsumed : 0
% 54.13/7.26 # Contextual simplify-reflections : 0
% 54.13/7.26 # Paramodulations : 143443
% 54.13/7.26 # Factorizations : 0
% 54.13/7.26 # NegExts : 0
% 54.13/7.26 # Equation resolutions : 0
% 54.13/7.26 # Disequality decompositions : 0
% 54.13/7.26 # Total rewrite steps : 558309
% 54.13/7.26 # ...of those cached : 529450
% 54.13/7.26 # Propositional unsat checks : 0
% 54.13/7.26 # Propositional check models : 0
% 54.13/7.26 # Propositional check unsatisfiable : 0
% 54.13/7.26 # Propositional clauses : 0
% 54.13/7.26 # Propositional clauses after purity: 0
% 54.13/7.26 # Propositional unsat core size : 0
% 54.13/7.26 # Propositional preprocessing time : 0.000
% 54.13/7.26 # Propositional encoding time : 0.000
% 54.13/7.26 # Propositional solver time : 0.000
% 54.13/7.26 # Success case prop preproc time : 0.000
% 54.13/7.26 # Success case prop encoding time : 0.000
% 54.13/7.26 # Success case prop solver time : 0.000
% 54.13/7.26 # Current number of processed clauses : 34
% 54.13/7.26 # Positive orientable unit clauses : 31
% 54.13/7.26 # Positive unorientable unit clauses: 3
% 54.13/7.26 # Negative unit clauses : 0
% 54.13/7.26 # Non-unit-clauses : 0
% 54.13/7.26 # Current number of unprocessed clauses: 118524
% 54.13/7.26 # ...number of literals in the above : 118524
% 54.13/7.26 # Current number of archived formulas : 0
% 54.13/7.26 # Current number of archived clauses : 484
% 54.13/7.26 # Clause-clause subsumption calls (NU) : 9528
% 54.13/7.26 # Rec. Clause-clause subsumption calls : 9528
% 54.13/7.26 # Non-unit clause-clause subsumptions : 1958
% 54.13/7.26 # Unit Clause-clause subsumption calls : 1170
% 54.13/7.26 # Rewrite failures with RHS unbound : 0
% 54.13/7.26 # BW rewrite match attempts : 9671
% 54.13/7.26 # BW rewrite match successes : 646
% 54.13/7.26 # Condensation attempts : 0
% 54.13/7.26 # Condensation successes : 0
% 54.13/7.26 # Termbank termtop insertions : 10749265
% 54.13/7.26 # Search garbage collected termcells : 8
% 54.13/7.26
% 54.13/7.26 # -------------------------------------------------
% 54.13/7.26 # User time : 6.343 s
% 54.13/7.26 # System time : 0.178 s
% 54.13/7.26 # Total time : 6.521 s
% 54.13/7.26 # Maximum resident set size: 1644 pages
% 54.13/7.26
% 54.13/7.26 # -------------------------------------------------
% 54.13/7.26 # User time : 6.345 s
% 54.13/7.26 # System time : 0.179 s
% 54.13/7.26 # Total time : 6.524 s
% 54.13/7.26 # Maximum resident set size: 1752 pages
% 54.13/7.26 % E---3.1 exiting
%------------------------------------------------------------------------------