TSTP Solution File: GRP084-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP084-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:37:53 EDT 2023
% Result : Unsatisfiable 80.28s 10.80s
% Output : CNFRefutation 80.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 2
% Syntax : Number of clauses : 108 ( 104 unt; 0 nHn; 6 RR)
% Number of literals : 117 ( 116 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 392 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(X6)),inverse(X4))))))),X6) = X5,
file('/export/starexec/sandbox/tmp/tmp.BLhFPiGRRm/E---3.1_11258.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))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/tmp/tmp.BLhFPiGRRm/E---3.1_11258.p',prove_these_axioms) ).
cnf(c_0_2,axiom,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(X6)),inverse(X4))))))),X6) = X5,
single_axiom ).
cnf(c_0_3,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6) = inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X10))))))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6),inverse(X6)) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(multiply(X5,inverse(X6)),inverse(inverse(X6))),inverse(X4))))))) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_6,plain,
multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,inverse(X3)),inverse(inverse(X3))),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,plain,
multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,X3),inverse(X3)),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_8,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(multiply(X5,X6),inverse(X6))))))),X4) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_9,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(multiply(X3,multiply(multiply(X4,X5),inverse(X5))),inverse(X6))),multiply(multiply(X3,X7),inverse(X7))))),X6) = X4,
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_10,plain,
multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,X6),inverse(X6))))))),X7),inverse(X7)) = multiply(X5,X4),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_11,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),multiply(multiply(X4,X5),inverse(X5))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_4]),c_0_4]) ).
cnf(c_0_12,plain,
multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),inverse(inverse(X3))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_12]),c_0_4]) ).
cnf(c_0_14,plain,
multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(X3))) = multiply(multiply(multiply(X1,X3),X4),inverse(X4)),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_15,plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),multiply(multiply(X4,X5),inverse(X5))) = X4,
inference(spm,[status(thm)],[c_0_11,c_0_11]) ).
cnf(c_0_16,plain,
multiply(X1,inverse(inverse(inverse(X1)))) = multiply(multiply(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3)))),X4),inverse(X4)),
inference(spm,[status(thm)],[c_0_7,c_0_13]) ).
cnf(c_0_17,plain,
multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(inverse(multiply(multiply(X1,X3),inverse(X3)))))) = multiply(X4,inverse(inverse(inverse(X4)))),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_18,plain,
multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))))),multiply(inverse(X3),X3))),multiply(multiply(X4,X5),inverse(X5))) = X4,
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_19,plain,
multiply(X1,inverse(inverse(inverse(X1)))) = multiply(X2,inverse(inverse(inverse(X2)))),
inference(spm,[status(thm)],[c_0_16,c_0_16]) ).
cnf(c_0_20,plain,
multiply(multiply(multiply(X1,X2),inverse(multiply(multiply(multiply(X1,X3),inverse(X3)),inverse(inverse(X2))))),inverse(inverse(X4))) = X4,
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_21,plain,
inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),X4),inverse(X4))) = multiply(X5,inverse(inverse(inverse(X5)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_11]),c_0_13]) ).
cnf(c_0_22,plain,
inverse(multiply(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))))),multiply(inverse(X3),X3))),X4),inverse(X4))) = multiply(X5,inverse(inverse(inverse(X5)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_13]) ).
cnf(c_0_23,plain,
multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(inverse(inverse(inverse(X1)))))) = multiply(multiply(multiply(X3,inverse(inverse(inverse(X3)))),X4),inverse(X4)),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_24,plain,
multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),inverse(X4)),inverse(inverse(X5))) = X5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_15]),c_0_13]) ).
cnf(c_0_25,plain,
inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))))),multiply(inverse(X3),X3))),multiply(X4,inverse(inverse(inverse(X4)))))) = multiply(X5,inverse(inverse(inverse(X5)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_11]) ).
cnf(c_0_26,plain,
inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3)))))) = multiply(multiply(multiply(X4,inverse(inverse(inverse(X4)))),X5),inverse(X5)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_11]),c_0_13]) ).
cnf(c_0_27,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),multiply(multiply(X4,inverse(inverse(inverse(X4)))),inverse(inverse(inverse(inverse(X5)))))) = X5,
inference(spm,[status(thm)],[c_0_11,c_0_19]) ).
cnf(c_0_28,plain,
multiply(multiply(multiply(inverse(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2))),X3),inverse(X3)),inverse(inverse(X4))) = X4,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)))))) = multiply(multiply(multiply(X3,inverse(inverse(inverse(X3)))),X4),inverse(X4)),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_30,plain,
multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(inverse(inverse(X4)))))) = X4,
inference(spm,[status(thm)],[c_0_27,c_0_25]) ).
cnf(c_0_31,plain,
inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)))))) = inverse(inverse(inverse(inverse(multiply(inverse(multiply(X3,inverse(inverse(inverse(X3))))),multiply(inverse(X4),X4)))))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X3,inverse(inverse(inverse(X3))))),multiply(inverse(X4),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_30]) ).
cnf(c_0_33,plain,
multiply(multiply(X1,inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),inverse(inverse(inverse(inverse(X1))))))),inverse(inverse(X3))) = X3,
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_34,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(multiply(X5,X6),inverse(X6)),inverse(X4))))))) = X5,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_35,plain,
multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3))) = multiply(multiply(inverse(multiply(X4,inverse(inverse(inverse(X4))))),X5),inverse(X5)),
inference(spm,[status(thm)],[c_0_7,c_0_32]) ).
cnf(c_0_36,plain,
multiply(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(inverse(inverse(X2)))))))),inverse(inverse(inverse(inverse(X1))))))),inverse(inverse(X4))) = X4,
inference(spm,[status(thm)],[c_0_33,c_0_33]) ).
cnf(c_0_37,plain,
inverse(multiply(X1,inverse(inverse(inverse(X1))))) = multiply(X2,inverse(inverse(inverse(X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_34]) ).
cnf(c_0_38,plain,
multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),X4),inverse(X4)),inverse(inverse(X5))) = X5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_11]),c_0_13]) ).
cnf(c_0_39,plain,
multiply(multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(X3))),inverse(inverse(X4))) = multiply(multiply(multiply(multiply(X1,X3),X4),X5),inverse(X5)),
inference(spm,[status(thm)],[c_0_7,c_0_14]) ).
cnf(c_0_40,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(inverse(inverse(X2))))) = multiply(multiply(X2,X3),inverse(X3)),
inference(spm,[status(thm)],[c_0_7,c_0_19]) ).
cnf(c_0_41,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(X2))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_33]) ).
cnf(c_0_42,plain,
multiply(multiply(multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3),inverse(X3)),inverse(inverse(X4))) = X4,
inference(spm,[status(thm)],[c_0_38,c_0_25]) ).
cnf(c_0_43,plain,
multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(inverse(inverse(X2))))),inverse(inverse(X3))) = multiply(multiply(multiply(X2,X3),X4),inverse(X4)),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_44,plain,
multiply(multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(inverse(inverse(inverse(X1)))))),inverse(inverse(X3))) = multiply(multiply(multiply(multiply(X4,inverse(inverse(inverse(X4)))),X3),X5),inverse(X5)),
inference(spm,[status(thm)],[c_0_39,c_0_19]) ).
cnf(c_0_45,plain,
multiply(multiply(X1,X2),inverse(X2)) = inverse(inverse(X1)),
inference(rw,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)))))) = inverse(inverse(inverse(inverse(multiply(multiply(X3,inverse(inverse(inverse(X3)))),multiply(inverse(X4),X4)))))),
inference(spm,[status(thm)],[c_0_42,c_0_29]) ).
cnf(c_0_47,plain,
multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(inverse(inverse(X2))))),inverse(inverse(inverse(multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(inverse(inverse(X2))))))))) = multiply(X4,inverse(inverse(inverse(X4)))),
inference(spm,[status(thm)],[c_0_43,c_0_33]) ).
cnf(c_0_48,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2))),multiply(multiply(X3,X4),inverse(X4))) = X3,
inference(spm,[status(thm)],[c_0_15,c_0_25]) ).
cnf(c_0_49,plain,
multiply(multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X4,inverse(X3))))))),X5),inverse(X5)) = X4,
inference(spm,[status(thm)],[c_0_4,c_0_25]) ).
cnf(c_0_50,plain,
multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),inverse(multiply(X3,inverse(inverse(inverse(X3)))))) = multiply(X4,inverse(multiply(multiply(X4,X5),inverse(X5)))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_51,plain,
multiply(multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))))),multiply(inverse(X3),X3))),X4),inverse(X4)),inverse(inverse(X5))) = X5,
inference(spm,[status(thm)],[c_0_38,c_0_18]) ).
cnf(c_0_52,plain,
inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_41]),c_0_45]) ).
cnf(c_0_53,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(multiply(X3,inverse(inverse(inverse(X3)))),multiply(inverse(X4),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_46]),c_0_30]) ).
cnf(c_0_54,plain,
multiply(X1,inverse(inverse(inverse(X1)))) = inverse(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3))))),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_55,plain,
multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(inverse(X2)))),inverse(inverse(inverse(multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(inverse(X2)))))))) = multiply(X4,inverse(inverse(inverse(X4)))),
inference(spm,[status(thm)],[c_0_47,c_0_34]) ).
cnf(c_0_56,plain,
multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(multiply(inverse(multiply(inverse(multiply(X3,inverse(inverse(inverse(X3))))),multiply(inverse(X4),X4))),X5),inverse(X5)),
inference(spm,[status(thm)],[c_0_7,c_0_48]) ).
cnf(c_0_57,plain,
multiply(multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4))))))),X5),inverse(X5)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_13]) ).
cnf(c_0_58,plain,
multiply(multiply(multiply(inverse(multiply(inverse(inverse(inverse(multiply(X1,inverse(inverse(inverse(X1))))))),multiply(inverse(X2),X2))),X3),inverse(X3)),inverse(inverse(X4))) = X4,
inference(spm,[status(thm)],[c_0_51,c_0_25]) ).
cnf(c_0_59,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_52]) ).
cnf(c_0_60,plain,
multiply(X1,inverse(inverse(inverse(X1)))) = inverse(multiply(multiply(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3)))),X4),inverse(multiply(multiply(X5,inverse(inverse(inverse(X5)))),inverse(inverse(X4)))))),
inference(spm,[status(thm)],[c_0_54,c_0_16]) ).
cnf(c_0_61,plain,
multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(X2))),inverse(inverse(inverse(multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(X2))))))) = multiply(X4,inverse(inverse(inverse(X4)))),
inference(spm,[status(thm)],[c_0_55,c_0_34]) ).
cnf(c_0_62,plain,
multiply(multiply(inverse(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2))),multiply(X3,inverse(X4))),X4) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_56]),c_0_57]) ).
cnf(c_0_63,plain,
inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)))))) = inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(X3,inverse(inverse(inverse(X3))))))),multiply(inverse(X4),X4)))))),
inference(spm,[status(thm)],[c_0_58,c_0_29]) ).
cnf(c_0_64,plain,
multiply(inverse(X1),X1) = multiply(X2,inverse(inverse(inverse(X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_45]),c_0_41]),c_0_45]),c_0_41]) ).
cnf(c_0_65,plain,
multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(X2)),inverse(inverse(inverse(multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(X2)))))) = multiply(X4,inverse(inverse(inverse(X4)))),
inference(spm,[status(thm)],[c_0_61,c_0_34]) ).
cnf(c_0_66,plain,
multiply(multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),multiply(X3,inverse(X4))),X4) = X3,
inference(spm,[status(thm)],[c_0_62,c_0_32]) ).
cnf(c_0_67,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(inverse(inverse(inverse(multiply(X3,inverse(inverse(inverse(X3))))))),multiply(inverse(X4),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_63]),c_0_30]) ).
cnf(c_0_68,plain,
multiply(multiply(inverse(X1),X1),inverse(inverse(X2))) = X2,
inference(spm,[status(thm)],[c_0_41,c_0_64]) ).
cnf(c_0_69,plain,
multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(inverse(multiply(multiply(X1,X3),inverse(X3)))))) = inverse(multiply(X4,inverse(multiply(multiply(X4,X5),inverse(X5))))),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_70,plain,
multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2),inverse(inverse(inverse(multiply(multiply(X3,inverse(inverse(inverse(X3)))),X2))))) = multiply(X4,inverse(inverse(inverse(X4)))),
inference(spm,[status(thm)],[c_0_65,c_0_34]) ).
cnf(c_0_71,plain,
multiply(multiply(inverse(multiply(inverse(inverse(inverse(multiply(X1,inverse(inverse(inverse(X1))))))),multiply(inverse(X2),X2))),multiply(X3,inverse(X4))),X4) = X3,
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,plain,
multiply(inverse(multiply(inverse(X1),X1)),inverse(inverse(X2))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_59]),c_0_45]) ).
cnf(c_0_73,plain,
inverse(inverse(inverse(inverse(X1)))) = X1,
inference(spm,[status(thm)],[c_0_45,c_0_68]) ).
cnf(c_0_74,plain,
multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2),inverse(inverse(inverse(multiply(multiply(X3,inverse(inverse(inverse(X3)))),X2))))) = inverse(multiply(X4,inverse(multiply(multiply(X4,X5),inverse(X5))))),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,plain,
multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))))))),multiply(inverse(X3),X3))),multiply(X4,inverse(X5))),X5) = X4,
inference(spm,[status(thm)],[c_0_71,c_0_69]) ).
cnf(c_0_76,plain,
multiply(inverse(multiply(inverse(X1),X1)),X2) = inverse(inverse(X2)),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,plain,
inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(multiply(multiply(X4,X5),inverse(X5)),inverse(X3))))))) = X4,
inference(spm,[status(thm)],[c_0_34,c_0_25]) ).
cnf(c_0_78,plain,
multiply(inverse(X1),X1) = inverse(multiply(X2,inverse(inverse(inverse(X2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_64]),c_0_45]) ).
cnf(c_0_79,plain,
multiply(multiply(inverse(X1),X1),X2) = inverse(inverse(X2)),
inference(spm,[status(thm)],[c_0_68,c_0_73]) ).
cnf(c_0_80,plain,
multiply(inverse(inverse(multiply(X1,inverse(X2)))),X2) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_45]),c_0_73]),c_0_41]),c_0_76]) ).
cnf(c_0_81,plain,
inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),X1)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_45]),c_0_73]),c_0_79]),c_0_41]) ).
cnf(c_0_82,plain,
multiply(inverse(X1),multiply(inverse(inverse(X1)),X2)) = X2,
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_83,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_45]),c_0_73]) ).
cnf(c_0_84,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_82,c_0_34]) ).
cnf(c_0_85,plain,
multiply(multiply(multiply(multiply(X1,X2),X3),inverse(X3)),inverse(inverse(inverse(X2)))) = multiply(multiply(multiply(multiply(X1,X4),inverse(X4)),X5),inverse(X5)),
inference(spm,[status(thm)],[c_0_7,c_0_14]) ).
cnf(c_0_86,plain,
multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(rw,[status(thm)],[c_0_45,c_0_83]) ).
cnf(c_0_87,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_84,c_0_83]) ).
cnf(c_0_88,plain,
multiply(multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(multiply(multiply(multiply(multiply(X1,X3),inverse(X3)),X4),inverse(X4)))),inverse(inverse(X5))) = X5,
inference(spm,[status(thm)],[c_0_13,c_0_85]) ).
cnf(c_0_89,plain,
multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,plain,
multiply(multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(inverse(inverse(X2))))),inverse(multiply(multiply(multiply(multiply(X2,X3),inverse(X3)),X4),inverse(X4)))),inverse(inverse(X5))) = X5,
inference(spm,[status(thm)],[c_0_88,c_0_19]) ).
cnf(c_0_91,plain,
multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
inference(spm,[status(thm)],[c_0_87,c_0_89]) ).
cnf(c_0_92,plain,
multiply(multiply(X1,inverse(X1)),X2) = 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)],[inference(rw,[status(thm)],[c_0_90,c_0_41]),c_0_83]),c_0_45]),c_0_83]),c_0_45]),c_0_83]),c_0_83]) ).
cnf(c_0_93,plain,
inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
inference(spm,[status(thm)],[c_0_84,c_0_89]) ).
cnf(c_0_94,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))
| multiply(a4,b4) != multiply(b4,a4) ),
prove_these_axioms ).
cnf(c_0_95,plain,
multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(X3))) = multiply(multiply(X4,inverse(inverse(inverse(X4)))),inverse(inverse(inverse(inverse(multiply(X1,X3)))))),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_96,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(spm,[status(thm)],[c_0_87,c_0_86]) ).
cnf(c_0_97,plain,
multiply(X1,multiply(inverse(X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_84,c_0_59]) ).
cnf(c_0_98,plain,
multiply(multiply(multiply(X1,X2),X3),inverse(multiply(X2,X3))) = 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(spm,[status(thm)],[c_0_77,c_0_91]),c_0_83]),c_0_83]),c_0_45]),c_0_83]),c_0_83]),c_0_91]),c_0_92]),c_0_93]) ).
cnf(c_0_99,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| inverse(inverse(a2)) != a2 ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_94,c_0_59]),c_0_79]) ).
cnf(c_0_100,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(X4),X4))),X5)))))) = X5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_11]),c_0_13]) ).
cnf(c_0_101,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(spm,[status(thm)],[c_0_62,c_0_96]),c_0_97]),c_0_83]),c_0_83]),c_0_92]) ).
cnf(c_0_102,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_98]),c_0_83]) ).
cnf(c_0_103,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_83])]) ).
cnf(c_0_104,plain,
multiply(inverse(multiply(X1,X2)),multiply(X2,multiply(X1,X3))) = 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)],[c_0_100,c_0_41]),c_0_101]),c_0_97]),c_0_101]),c_0_102]),c_0_102]),c_0_101]),c_0_101]) ).
cnf(c_0_105,negated_conjecture,
multiply(a4,b4) != multiply(b4,a4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_102])]) ).
cnf(c_0_106,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_104]),c_0_102]),c_0_45]),c_0_83]),c_0_83]) ).
cnf(c_0_107,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP084-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 2400
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Oct 3 03:01:36 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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/tmp/tmp.BLhFPiGRRm/E---3.1_11258.p
% 80.28/10.80 # Version: 3.1pre001
% 80.28/10.80 # Preprocessing class: FSSSSMSMSSSNFFN.
% 80.28/10.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.28/10.80 # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 80.28/10.80 # Starting new_bool_3 with 300s (1) cores
% 80.28/10.80 # Starting new_bool_1 with 300s (1) cores
% 80.28/10.80 # Starting sh5l with 300s (1) cores
% 80.28/10.80 # G----_0031_C18_F1_SE_CS_SP_S0Y with pid 11484 completed with status 0
% 80.28/10.80 # Result found by G----_0031_C18_F1_SE_CS_SP_S0Y
% 80.28/10.80 # Preprocessing class: FSSSSMSMSSSNFFN.
% 80.28/10.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.28/10.80 # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 80.28/10.80 # No SInE strategy applied
% 80.28/10.80 # Search class: FUHPF-FFSF21-DFFFFFNN
% 80.28/10.80 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 80.28/10.80 # Starting G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A with 811s (1) cores
% 80.28/10.80 # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 80.28/10.80 # Starting new_bool_3 with 136s (1) cores
% 80.28/10.80 # Starting new_bool_1 with 136s (1) cores
% 80.28/10.80 # Starting sh5l with 136s (1) cores
% 80.28/10.80 # G----_0031_C18_F1_SE_CS_SP_S0Y with pid 11489 completed with status 0
% 80.28/10.80 # Result found by G----_0031_C18_F1_SE_CS_SP_S0Y
% 80.28/10.80 # Preprocessing class: FSSSSMSMSSSNFFN.
% 80.28/10.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.28/10.80 # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 80.28/10.80 # No SInE strategy applied
% 80.28/10.80 # Search class: FUHPF-FFSF21-DFFFFFNN
% 80.28/10.80 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 80.28/10.80 # Starting G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A with 811s (1) cores
% 80.28/10.80 # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 80.28/10.80 # Preprocessing time : 0.001 s
% 80.28/10.80
% 80.28/10.80 # Proof found!
% 80.28/10.80 # SZS status Unsatisfiable
% 80.28/10.80 # SZS output start CNFRefutation
% See solution above
% 80.28/10.80 # Parsed axioms : 2
% 80.28/10.80 # Removed by relevancy pruning/SinE : 0
% 80.28/10.80 # Initial clauses : 2
% 80.28/10.80 # Removed in clause preprocessing : 0
% 80.28/10.80 # Initial clauses in saturation : 2
% 80.28/10.80 # Processed clauses : 66398
% 80.28/10.80 # ...of these trivial : 2952
% 80.28/10.80 # ...subsumed : 62891
% 80.28/10.80 # ...remaining for further processing : 555
% 80.28/10.80 # Other redundant clauses eliminated : 0
% 80.28/10.80 # Clauses deleted for lack of memory : 0
% 80.28/10.80 # Backward-subsumed : 13
% 80.28/10.80 # Backward-rewritten : 519
% 80.28/10.80 # Generated clauses : 953452
% 80.28/10.80 # ...of the previous two non-redundant : 915583
% 80.28/10.80 # ...aggressively subsumed : 0
% 80.28/10.80 # Contextual simplify-reflections : 0
% 80.28/10.80 # Paramodulations : 953451
% 80.28/10.80 # Factorizations : 0
% 80.28/10.80 # NegExts : 0
% 80.28/10.80 # Equation resolutions : 0
% 80.28/10.80 # Total rewrite steps : 204299
% 80.28/10.80 # Propositional unsat checks : 0
% 80.28/10.80 # Propositional check models : 0
% 80.28/10.80 # Propositional check unsatisfiable : 0
% 80.28/10.80 # Propositional clauses : 0
% 80.28/10.80 # Propositional clauses after purity: 0
% 80.28/10.80 # Propositional unsat core size : 0
% 80.28/10.80 # Propositional preprocessing time : 0.000
% 80.28/10.80 # Propositional encoding time : 0.000
% 80.28/10.80 # Propositional solver time : 0.000
% 80.28/10.80 # Success case prop preproc time : 0.000
% 80.28/10.80 # Success case prop encoding time : 0.000
% 80.28/10.80 # Success case prop solver time : 0.000
% 80.28/10.80 # Current number of processed clauses : 22
% 80.28/10.80 # Positive orientable unit clauses : 20
% 80.28/10.80 # Positive unorientable unit clauses: 2
% 80.28/10.80 # Negative unit clauses : 0
% 80.28/10.80 # Non-unit-clauses : 0
% 80.28/10.80 # Current number of unprocessed clauses: 836597
% 80.28/10.80 # ...number of literals in the above : 836597
% 80.28/10.80 # Current number of archived formulas : 0
% 80.28/10.80 # Current number of archived clauses : 533
% 80.28/10.80 # Clause-clause subsumption calls (NU) : 0
% 80.28/10.80 # Rec. Clause-clause subsumption calls : 0
% 80.28/10.80 # Non-unit clause-clause subsumptions : 0
% 80.28/10.80 # Unit Clause-clause subsumption calls : 10745
% 80.28/10.80 # Rewrite failures with RHS unbound : 72439
% 80.28/10.80 # BW rewrite match attempts : 42502
% 80.28/10.80 # BW rewrite match successes : 1898
% 80.28/10.80 # Condensation attempts : 0
% 80.28/10.80 # Condensation successes : 0
% 80.28/10.80 # Termbank termtop insertions : 32692933
% 80.28/10.80
% 80.28/10.80 # -------------------------------------------------
% 80.28/10.80 # User time : 9.579 s
% 80.28/10.80 # System time : 0.340 s
% 80.28/10.80 # Total time : 9.919 s
% 80.28/10.80 # Maximum resident set size: 1536 pages
% 80.28/10.80
% 80.28/10.80 # -------------------------------------------------
% 80.28/10.80 # User time : 49.406 s
% 80.28/10.80 # System time : 0.559 s
% 80.28/10.80 # Total time : 49.965 s
% 80.28/10.80 # Maximum resident set size: 1676 pages
% 80.28/10.80 % E---3.1 exiting
% 80.28/10.81 % E---3.1 exiting
%------------------------------------------------------------------------------