TSTP Solution File: GRP058-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP058-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 17:37:38 EDT 2023
% Result : Unsatisfiable 14.33s 2.25s
% Output : CNFRefutation 14.33s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X1,inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X2))),X1)))) = X4,
file('/export/starexec/sandbox2/tmp/tmp.wtuKM8KS6a/E---3.1_22371.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/sandbox2/tmp/tmp.wtuKM8KS6a/E---3.1_22371.p',prove_these_axioms) ).
cnf(c_0_2,axiom,
multiply(X1,inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X2))),X1)))) = X4,
single_axiom ).
cnf(c_0_3,plain,
multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X4))),multiply(X5,inverse(X5))),multiply(X3,X1)))) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X4,X1)))) = multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,X4))),multiply(X6,inverse(X6))),
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,inverse(multiply(multiply(X4,multiply(X5,inverse(X5))),multiply(X2,X3))))))) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_4]) ).
cnf(c_0_6,plain,
multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_3]) ).
cnf(c_0_7,plain,
multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_6]),c_0_2]) ).
cnf(c_0_8,plain,
multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X2))),X5))),multiply(multiply(multiply(X6,inverse(X6)),inverse(X4)),X1)))) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_9,plain,
multiply(X1,inverse(multiply(inverse(X2),multiply(multiply(X3,inverse(X3)),X1)))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_10,plain,
multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X1))),X4)) = X4,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X2,inverse(X2)),X3)) = X3,
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_12,plain,
multiply(inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,X6)))))),inverse(multiply(X6,X3))) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_13,plain,
multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(X3)),multiply(X4,inverse(X4))),multiply(X5,X1)))) = inverse(multiply(multiply(a1,inverse(multiply(multiply(X6,multiply(a1,inverse(a1))),multiply(X3,a1)))),multiply(X6,X5))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_4]) ).
cnf(c_0_14,plain,
multiply(inverse(multiply(X1,inverse(X1))),inverse(multiply(inverse(X2),multiply(X3,inverse(X3))))) = X2,
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_15,plain,
multiply(inverse(multiply(X1,inverse(X1))),multiply(X2,inverse(X2))) = inverse(multiply(X3,inverse(X3))),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_16,plain,
multiply(X1,inverse(multiply(inverse(multiply(X2,X3)),multiply(multiply(multiply(X4,inverse(X4)),inverse(X5)),X1)))) = inverse(multiply(X6,multiply(multiply(multiply(X7,inverse(X7)),inverse(multiply(X3,X6))),multiply(multiply(X8,inverse(X8)),inverse(multiply(X5,X2)))))),
inference(spm,[status(thm)],[c_0_2,c_0_12]) ).
cnf(c_0_17,plain,
inverse(multiply(multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(multiply(X1,X2),a1)))),multiply(a1,X1))) = X2,
inference(rw,[status(thm)],[c_0_3,c_0_13]) ).
cnf(c_0_18,plain,
multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(multiply(a1,inverse(a1))))) = multiply(X2,inverse(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_19,plain,
multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(multiply(a1,inverse(multiply(multiply(X4,multiply(a1,inverse(a1))),multiply(X2,a1)))),X1)))) = multiply(X4,multiply(X5,inverse(X5))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_4]) ).
cnf(c_0_20,plain,
multiply(multiply(a1,inverse(multiply(inverse(multiply(X1,X2)),multiply(multiply(multiply(a1,inverse(a1)),inverse(X3)),a1)))),inverse(multiply(X1,X2))) = X3,
inference(rw,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_21,plain,
inverse(multiply(multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(multiply(a1,inverse(a1)),a1)))),multiply(a1,X1))) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_18]) ).
cnf(c_0_22,plain,
inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(a1,inverse(a1))))) = inverse(multiply(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_23,plain,
multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(a1,inverse(a1))))) = multiply(X1,multiply(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_19]),c_0_15]) ).
cnf(c_0_24,plain,
multiply(multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(multiply(a1,inverse(a1)),a1)))),multiply(a1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_20]) ).
cnf(c_0_25,plain,
multiply(multiply(a1,inverse(multiply(X1,multiply(multiply(multiply(a1,inverse(a1)),inverse(X2)),a1)))),X1) = X2,
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_26,plain,
inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(a1,inverse(a1)))),inverse(multiply(a1,inverse(a1))))) = inverse(multiply(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_22]),c_0_15]) ).
cnf(c_0_27,plain,
multiply(multiply(X1,inverse(X1)),inverse(multiply(a1,inverse(a1)))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_23]),c_0_11]) ).
cnf(c_0_28,plain,
multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),multiply(X5,X2)))),multiply(X6,X1)))) = multiply(a1,inverse(multiply(multiply(a1,inverse(multiply(multiply(X3,multiply(a1,inverse(a1))),multiply(X5,a1)))),multiply(X6,a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_4]),c_0_4]),c_0_4]) ).
cnf(c_0_29,plain,
multiply(multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(multiply(a1,inverse(a1)),a1)))),multiply(X1,inverse(X1))) = inverse(a1),
inference(spm,[status(thm)],[c_0_24,c_0_7]) ).
cnf(c_0_30,plain,
multiply(multiply(a1,inverse(multiply(X1,multiply(multiply(a1,inverse(a1)),a1)))),X1) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_27]),c_0_27]) ).
cnf(c_0_31,plain,
multiply(a1,inverse(multiply(multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(multiply(a1,inverse(a1)),a1)))),multiply(X1,a1)))) = multiply(inverse(X1),inverse(inverse(a1))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),multiply(X5,X2)))),multiply(X3,X1)))) = X5,
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_33,plain,
inverse(multiply(a1,inverse(multiply(X1,multiply(multiply(a1,inverse(a1)),a1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_30]),c_0_24]) ).
cnf(c_0_34,plain,
multiply(inverse(multiply(a1,inverse(multiply(a1,multiply(multiply(a1,inverse(a1)),a1))))),inverse(inverse(a1))) = multiply(a1,inverse(inverse(a1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_30]),c_0_24]) ).
cnf(c_0_35,plain,
multiply(X1,multiply(a1,inverse(multiply(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),multiply(X1,a1))))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_13]),c_0_13]),c_0_32]) ).
cnf(c_0_36,plain,
multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(multiply(a1,inverse(a1)),a1)))) = inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),
inference(spm,[status(thm)],[c_0_33,c_0_31]) ).
cnf(c_0_37,plain,
inverse(multiply(a1,inverse(multiply(a1,multiply(multiply(a1,inverse(a1)),a1))))) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_34]),c_0_2]) ).
cnf(c_0_38,plain,
multiply(multiply(a1,inverse(multiply(a1,multiply(multiply(a1,inverse(a1)),a1)))),multiply(a1,inverse(multiply(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),multiply(a1,inverse(a1)))))) = multiply(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_35,c_0_30]) ).
cnf(c_0_39,plain,
multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),multiply(a1,X1)) = X1,
inference(rw,[status(thm)],[c_0_24,c_0_36]) ).
cnf(c_0_40,plain,
inverse(multiply(a1,inverse(multiply(a1,multiply(multiply(X1,inverse(X1)),a1))))) = a1,
inference(spm,[status(thm)],[c_0_37,c_0_7]) ).
cnf(c_0_41,plain,
multiply(a1,inverse(multiply(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),multiply(a1,inverse(a1))))) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_38]),c_0_36]),c_0_39]),c_0_40]) ).
cnf(c_0_42,plain,
multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),multiply(X1,inverse(X1))) = inverse(a1),
inference(rw,[status(thm)],[c_0_29,c_0_36]) ).
cnf(c_0_43,plain,
multiply(X1,inverse(multiply(multiply(a1,inverse(multiply(multiply(X2,multiply(a1,inverse(a1))),multiply(X3,a1)))),multiply(multiply(X4,inverse(X4)),X1)))) = multiply(a1,inverse(multiply(multiply(X5,multiply(a1,inverse(a1))),multiply(inverse(multiply(multiply(X2,multiply(X6,inverse(X6))),multiply(X3,X5))),a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_4]),c_0_4]),c_0_4]) ).
cnf(c_0_44,plain,
inverse(multiply(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),multiply(a1,inverse(a1)))) = multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),a1),
inference(spm,[status(thm)],[c_0_39,c_0_41]) ).
cnf(c_0_45,plain,
multiply(a1,inverse(multiply(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),multiply(a1,a1)))) = inverse(a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_35]),c_0_42]) ).
cnf(c_0_46,plain,
multiply(X1,inverse(multiply(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X4,inverse(X4))),multiply(multiply(X5,multiply(X6,inverse(X6))),X1)))) = multiply(multiply(a1,inverse(multiply(multiply(X2,multiply(a1,inverse(a1))),multiply(X5,a1)))),multiply(X7,inverse(X7))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_4]),c_0_4]) ).
cnf(c_0_47,plain,
multiply(a1,inverse(multiply(multiply(inverse(a1),multiply(a1,inverse(a1))),multiply(multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),a1),a1)))) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_9]) ).
cnf(c_0_48,plain,
multiply(a1,multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),a1)) = a1,
inference(rw,[status(thm)],[c_0_41,c_0_44]) ).
cnf(c_0_49,plain,
multiply(inverse(X1),inverse(multiply(multiply(a1,inverse(multiply(multiply(X1,multiply(a1,inverse(a1))),multiply(X2,a1)))),multiply(a1,inverse(a1))))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_4]),c_0_46]) ).
cnf(c_0_50,plain,
inverse(multiply(multiply(inverse(a1),multiply(a1,inverse(a1))),multiply(multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),a1),a1))) = multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),a1),
inference(spm,[status(thm)],[c_0_39,c_0_47]) ).
cnf(c_0_51,plain,
multiply(a1,multiply(inverse(multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(a1)))),a1)) = a1,
inference(spm,[status(thm)],[c_0_48,c_0_7]) ).
cnf(c_0_52,plain,
multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),a1) = multiply(inverse(inverse(a1)),inverse(multiply(a1,multiply(a1,inverse(a1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_53,plain,
multiply(a1,multiply(inverse(inverse(a1)),inverse(multiply(a1,multiply(a1,inverse(a1)))))) = a1,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_54,plain,
multiply(a1,multiply(inverse(inverse(a1)),inverse(multiply(a1,multiply(X1,inverse(X1)))))) = a1,
inference(spm,[status(thm)],[c_0_53,c_0_7]) ).
cnf(c_0_55,plain,
multiply(X1,inverse(multiply(X2,multiply(X3,X1)))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,multiply(X3,multiply(X5,inverse(X5)))))),
inference(spm,[status(thm)],[c_0_32,c_0_2]) ).
cnf(c_0_56,plain,
multiply(a1,multiply(a1,inverse(multiply(a1,multiply(inverse(a1),a1))))) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_55]) ).
cnf(c_0_57,plain,
inverse(multiply(multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(a1,a1)))),multiply(a1,a1))) = multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),a1),
inference(spm,[status(thm)],[c_0_17,c_0_48]) ).
cnf(c_0_58,plain,
inverse(multiply(a1,inverse(multiply(X1,multiply(multiply(X2,inverse(X2)),a1))))) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_7]) ).
cnf(c_0_59,plain,
multiply(a1,inverse(multiply(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),multiply(X1,a1)))) = inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_35]),c_0_36]),c_0_39]) ).
cnf(c_0_60,plain,
multiply(inverse(inverse(a1)),inverse(multiply(a1,multiply(a1,inverse(a1))))) = multiply(a1,inverse(multiply(a1,multiply(inverse(a1),a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_56]),c_0_57]),c_0_52]) ).
cnf(c_0_61,plain,
multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(inverse(a1),a1)))) = multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_35]),c_0_19]),c_0_4]) ).
cnf(c_0_62,plain,
inverse(inverse(multiply(X1,inverse(X1)))) = multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,plain,
multiply(multiply(a1,inverse(multiply(a1,inverse(a1)))),multiply(a1,inverse(multiply(multiply(multiply(a1,inverse(a1)),a1),multiply(multiply(a1,inverse(a1)),a1))))) = multiply(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_30,c_0_30]) ).
cnf(c_0_64,plain,
multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(multiply(X2,inverse(X2))))) = multiply(X3,inverse(X3)),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_65,plain,
inverse(multiply(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),a1))) = multiply(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_39,c_0_35]) ).
cnf(c_0_66,plain,
multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),a1) = multiply(a1,inverse(multiply(a1,multiply(inverse(a1),a1)))),
inference(rw,[status(thm)],[c_0_52,c_0_60]) ).
cnf(c_0_67,plain,
multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(inverse(a1),a1)))) = inverse(inverse(multiply(a1,inverse(a1)))),
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,plain,
multiply(a1,inverse(multiply(multiply(multiply(a1,inverse(a1)),a1),multiply(multiply(a1,inverse(a1)),a1)))) = inverse(multiply(a1,inverse(multiply(a1,inverse(a1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_63]),c_0_24]) ).
cnf(c_0_69,plain,
multiply(multiply(multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(a1,a1)))),multiply(a1,a1)),multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),a1)) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_57]),c_0_64]) ).
cnf(c_0_70,plain,
multiply(multiply(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),multiply(a1,inverse(a1))),multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),a1)) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_44]),c_0_64]) ).
cnf(c_0_71,plain,
inverse(multiply(inverse(inverse(multiply(a1,inverse(a1)))),multiply(a1,inverse(multiply(a1,multiply(inverse(a1),a1)))))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_62]) ).
cnf(c_0_72,plain,
multiply(X1,inverse(multiply(inverse(inverse(multiply(a1,inverse(a1)))),multiply(a1,X1)))) = inverse(a1),
inference(spm,[status(thm)],[c_0_32,c_0_67]) ).
cnf(c_0_73,plain,
multiply(inverse(multiply(a1,inverse(multiply(a1,inverse(a1))))),multiply(multiply(a1,inverse(a1)),a1)) = multiply(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_30,c_0_68]) ).
cnf(c_0_74,plain,
multiply(inverse(X1),inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X4,inverse(X4))))) = multiply(a1,inverse(multiply(multiply(X2,multiply(a1,inverse(a1))),multiply(X1,a1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_7]),c_0_4]) ).
cnf(c_0_75,plain,
multiply(multiply(multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(a1,a1)))),multiply(a1,a1)),multiply(inverse(inverse(a1)),inverse(multiply(a1,multiply(a1,inverse(a1)))))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[c_0_69,c_0_52]) ).
cnf(c_0_76,plain,
multiply(multiply(inverse(inverse(multiply(a1,inverse(a1)))),multiply(a1,inverse(a1))),multiply(a1,inverse(multiply(a1,multiply(inverse(a1),a1))))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_62]),c_0_52]),c_0_60]) ).
cnf(c_0_77,plain,
multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),multiply(a1,inverse(a1))) = inverse(a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_71]),c_0_55]),c_0_72]) ).
cnf(c_0_78,plain,
inverse(inverse(multiply(a1,inverse(multiply(a1,inverse(a1)))))) = multiply(multiply(a1,inverse(a1)),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_73]),c_0_24]) ).
cnf(c_0_79,plain,
multiply(a1,inverse(multiply(inverse(multiply(a1,inverse(a1))),multiply(X1,a1)))) = multiply(inverse(X1),inverse(inverse(multiply(a1,inverse(a1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_11]),c_0_15]),c_0_15]) ).
cnf(c_0_80,plain,
multiply(inverse(multiply(multiply(a1,inverse(a1)),inverse(X1))),inverse(inverse(multiply(a1,inverse(a1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_59]),c_0_62]) ).
cnf(c_0_81,plain,
multiply(multiply(multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(a1,a1)))),multiply(a1,a1)),multiply(a1,inverse(multiply(a1,multiply(inverse(a1),a1))))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[c_0_75,c_0_60]) ).
cnf(c_0_82,plain,
multiply(a1,inverse(multiply(multiply(inverse(inverse(multiply(a1,inverse(a1)))),multiply(a1,inverse(a1))),multiply(a1,a1)))) = multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),inverse(multiply(a1,inverse(a1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_76]),c_0_55]) ).
cnf(c_0_83,plain,
multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(a1))) = multiply(a1,multiply(inverse(a1),a1)),
inference(spm,[status(thm)],[c_0_14,c_0_77]) ).
cnf(c_0_84,plain,
multiply(inverse(a1),multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(a1)))),a1)) = inverse(a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_44]),c_0_4]),c_0_45]) ).
cnf(c_0_85,plain,
inverse(inverse(multiply(a1,inverse(multiply(X1,inverse(X1)))))) = multiply(multiply(X1,inverse(X1)),a1),
inference(spm,[status(thm)],[c_0_78,c_0_7]) ).
cnf(c_0_86,plain,
multiply(X1,inverse(multiply(a1,inverse(a1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_79]),c_0_80]) ).
cnf(c_0_87,plain,
multiply(a1,inverse(multiply(multiply(multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(a1,a1)))),multiply(a1,a1)),multiply(a1,a1)))) = multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),inverse(multiply(a1,inverse(a1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_81]),c_0_55]) ).
cnf(c_0_88,plain,
multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),inverse(multiply(a1,inverse(a1))))) = inverse(multiply(multiply(inverse(inverse(multiply(a1,inverse(a1)))),multiply(a1,inverse(a1))),multiply(a1,a1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_82]),c_0_83]) ).
cnf(c_0_89,plain,
multiply(inverse(a1),multiply(inverse(inverse(a1)),inverse(multiply(a1,multiply(a1,inverse(a1)))))) = inverse(a1),
inference(rw,[status(thm)],[c_0_84,c_0_52]) ).
cnf(c_0_90,plain,
multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),a1) = multiply(a1,inverse(multiply(a1,multiply(inverse(a1),a1)))),
inference(spm,[status(thm)],[c_0_66,c_0_83]) ).
cnf(c_0_91,plain,
multiply(multiply(a1,inverse(a1)),a1) = inverse(inverse(a1)),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,plain,
inverse(multiply(multiply(multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(a1,a1)))),multiply(a1,a1)),multiply(a1,a1))) = inverse(multiply(multiply(inverse(inverse(multiply(a1,inverse(a1)))),multiply(a1,inverse(a1))),multiply(a1,a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_87]),c_0_83]),c_0_88]) ).
cnf(c_0_93,plain,
multiply(inverse(a1),multiply(a1,inverse(multiply(a1,multiply(inverse(a1),a1))))) = inverse(a1),
inference(rw,[status(thm)],[c_0_89,c_0_60]) ).
cnf(c_0_94,plain,
inverse(multiply(multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(multiply(a1,inverse(multiply(a1,multiply(inverse(a1),a1)))),a1)))),multiply(a1,inverse(multiply(a1,multiply(inverse(a1),a1)))))) = a1,
inference(spm,[status(thm)],[c_0_17,c_0_90]) ).
cnf(c_0_95,plain,
multiply(a1,multiply(inverse(a1),a1)) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_91]),c_0_83]) ).
cnf(c_0_96,plain,
multiply(multiply(a1,inverse(multiply(multiply(a1,multiply(a1,inverse(a1))),multiply(a1,a1)))),multiply(a1,a1)) = multiply(inverse(inverse(multiply(a1,inverse(a1)))),multiply(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_92]),c_0_2]) ).
cnf(c_0_97,plain,
inverse(multiply(inverse(inverse(multiply(a1,inverse(a1)))),multiply(a1,inverse(a1)))) = multiply(a1,inverse(multiply(a1,multiply(inverse(a1),a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_93]),c_0_61]),c_0_62]) ).
cnf(c_0_98,plain,
inverse(inverse(a1)) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_24]) ).
cnf(c_0_99,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_95]),c_0_96]),c_0_97]),c_0_95]) ).
cnf(c_0_100,plain,
inverse(multiply(multiply(inverse(a1),multiply(a1,inverse(a1))),multiply(multiply(a1,inverse(multiply(a1,multiply(inverse(a1),a1)))),a1))) = multiply(a1,inverse(multiply(a1,multiply(inverse(a1),a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_52]),c_0_52]),c_0_60]),c_0_60]) ).
cnf(c_0_101,plain,
multiply(inverse(a1),multiply(a1,inverse(a1))) = inverse(a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_98]),c_0_83]),c_0_95]),c_0_99]) ).
cnf(c_0_102,plain,
multiply(a1,multiply(a1,inverse(a1))) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_98]),c_0_98]),c_0_95]) ).
cnf(c_0_103,plain,
multiply(X1,inverse(multiply(multiply(X2,inverse(X2)),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,inverse(multiply(multiply(X5,multiply(X6,inverse(X6))),multiply(X7,X4)))))),X1)))) = multiply(multiply(X8,inverse(X8)),inverse(multiply(X5,X7))),
inference(spm,[status(thm)],[c_0_2,c_0_4]) ).
cnf(c_0_104,plain,
multiply(inverse(inverse(multiply(a1,inverse(a1)))),multiply(a1,multiply(a1,inverse(a1)))) = multiply(inverse(inverse(a1)),inverse(inverse(multiply(a1,inverse(a1))))),
inference(spm,[status(thm)],[c_0_80,c_0_72]) ).
cnf(c_0_105,plain,
multiply(X1,inverse(multiply(X2,inverse(X2)))) = X1,
inference(spm,[status(thm)],[c_0_86,c_0_7]) ).
cnf(c_0_106,plain,
inverse(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_100,c_0_101]),c_0_99]),c_0_102]),c_0_91]),c_0_98]),c_0_99]),c_0_99]),c_0_102]) ).
cnf(c_0_107,plain,
multiply(multiply(X1,inverse(X1)),multiply(a1,inverse(a1))) = inverse(inverse(multiply(a1,inverse(a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_71]),c_0_103]),c_0_71]),c_0_62]) ).
cnf(c_0_108,plain,
multiply(multiply(a1,inverse(a1)),inverse(multiply(inverse(inverse(a1)),inverse(inverse(multiply(a1,inverse(a1))))))) = inverse(a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_104]),c_0_55]),c_0_72]) ).
cnf(c_0_109,plain,
multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(multiply(X4,inverse(multiply(multiply(X5,multiply(X6,inverse(X6))),multiply(X2,X4)))),X1)))) = multiply(X5,multiply(X7,inverse(X7))),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_110,plain,
multiply(X1,multiply(a1,inverse(a1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_106]),c_0_106]),c_0_106]) ).
cnf(c_0_111,plain,
multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X4,inverse(multiply(multiply(X5,multiply(X6,inverse(X6))),multiply(X7,X4))))))) = multiply(a1,inverse(multiply(multiply(X2,multiply(a1,inverse(a1))),multiply(multiply(multiply(X8,inverse(X8)),inverse(multiply(X5,X7))),a1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_4]),c_0_4]) ).
cnf(c_0_112,plain,
multiply(multiply(a1,inverse(a1)),inverse(a1)) = inverse(a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_106]),c_0_98]),c_0_106]),c_0_102]) ).
cnf(c_0_113,plain,
multiply(X1,multiply(X2,inverse(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_110]),c_0_2]) ).
cnf(c_0_114,plain,
multiply(multiply(a1,inverse(X1)),X1) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_112]),c_0_99]),c_0_113]) ).
cnf(c_0_115,plain,
multiply(multiply(X1,inverse(X1)),a1) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_105]),c_0_98]) ).
cnf(c_0_116,plain,
multiply(X1,inverse(multiply(inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X4,X5))),multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(a1,inverse(multiply(multiply(X2,multiply(a1,inverse(a1))),multiply(X4,a1)))))),X1)))) = X5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_4]),c_0_4]) ).
cnf(c_0_117,plain,
multiply(X1,multiply(inverse(X1),a1)) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_9]),c_0_115]) ).
cnf(c_0_118,plain,
multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))) = multiply(X2,inverse(X2)),
inference(spm,[status(thm)],[c_0_27,c_0_7]) ).
cnf(c_0_119,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_113]),c_0_110]),c_0_118]),c_0_9]) ).
cnf(c_0_120,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)) ),
prove_these_axioms ).
cnf(c_0_121,plain,
multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(X3,inverse(multiply(multiply(X4,multiply(X5,inverse(X5))),multiply(X2,X3)))))),multiply(multiply(multiply(X6,inverse(X6)),inverse(X4)),X1)))) = multiply(X7,inverse(X7)),
inference(spm,[status(thm)],[c_0_2,c_0_5]) ).
cnf(c_0_122,plain,
inverse(inverse(X1)) = X1,
inference(spm,[status(thm)],[c_0_113,c_0_119]) ).
cnf(c_0_123,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(b1),b1) != multiply(a1,inverse(a1))
| multiply(multiply(inverse(b2),b2),a2) != a2 ),
inference(rw,[status(thm)],[c_0_120,c_0_99]) ).
cnf(c_0_124,plain,
multiply(inverse(X1),X1) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_121]) ).
cnf(c_0_125,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a1,inverse(a1)),a2) != a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124]),c_0_124])]) ).
cnf(c_0_126,plain,
multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),multiply(a1,X1)) = X1,
inference(spm,[status(thm)],[c_0_39,c_0_83]) ).
cnf(c_0_127,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_119,c_0_122]) ).
cnf(c_0_128,plain,
multiply(X1,multiply(inverse(X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_113,c_0_122]) ).
cnf(c_0_129,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(X1,inverse(X1)),a2) != a2 ),
inference(spm,[status(thm)],[c_0_125,c_0_7]) ).
cnf(c_0_130,plain,
inverse(multiply(inverse(inverse(multiply(a1,inverse(a1)))),multiply(X1,a1))) = multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_59]),c_0_107]) ).
cnf(c_0_131,plain,
multiply(a1,multiply(X1,inverse(X1))) = a1,
inference(spm,[status(thm)],[c_0_102,c_0_7]) ).
cnf(c_0_132,plain,
multiply(a1,inverse(multiply(X1,a1))) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_58]),c_0_115]) ).
cnf(c_0_133,plain,
multiply(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3)))),inverse(multiply(X3,multiply(X4,inverse(X4))))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_134,plain,
multiply(multiply(X1,inverse(X1)),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_127]),c_0_113]),c_0_128]),c_0_122]) ).
cnf(c_0_135,negated_conjecture,
( multiply(multiply(multiply(multiply(a1,inverse(a1)),multiply(X1,a1)),multiply(inverse(a1),inverse(X1))),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_122]),c_0_124]),c_0_131]) ).
cnf(c_0_136,plain,
multiply(inverse(a1),inverse(X1)) = inverse(multiply(X1,a1)),
inference(spm,[status(thm)],[c_0_127,c_0_132]) ).
cnf(c_0_137,plain,
multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_134]),c_0_122]),c_0_105]) ).
cnf(c_0_138,negated_conjecture,
( multiply(multiply(multiply(multiply(X1,inverse(X1)),multiply(X2,a1)),multiply(inverse(a1),inverse(X2))),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(spm,[status(thm)],[c_0_135,c_0_7]) ).
cnf(c_0_139,plain,
multiply(multiply(a1,inverse(a1)),X1) = 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_14,c_0_136]),c_0_124]),c_0_106]),c_0_106]),c_0_113]),c_0_122]) ).
cnf(c_0_140,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(spm,[status(thm)],[c_0_127,c_0_137]) ).
cnf(c_0_141,plain,
multiply(X1,inverse(multiply(X2,multiply(X3,X1)))) = inverse(multiply(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_113]),c_0_113]),c_0_134]) ).
cnf(c_0_142,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_115]),c_0_86]),c_0_139])]) ).
cnf(c_0_143,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_122]),c_0_122]) ).
cnf(c_0_144,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP058-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Oct 3 02:37:39 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.wtuKM8KS6a/E---3.1_22371.p
% 14.33/2.25 # Version: 3.1pre001
% 14.33/2.25 # Preprocessing class: FSSSSMSSSSSNFFN.
% 14.33/2.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.33/2.25 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 14.33/2.25 # Starting new_bool_3 with 300s (1) cores
% 14.33/2.25 # Starting new_bool_1 with 300s (1) cores
% 14.33/2.25 # Starting sh5l with 300s (1) cores
% 14.33/2.25 # new_bool_1 with pid 22451 completed with status 0
% 14.33/2.25 # Result found by new_bool_1
% 14.33/2.25 # Preprocessing class: FSSSSMSSSSSNFFN.
% 14.33/2.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.33/2.25 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 14.33/2.25 # Starting new_bool_3 with 300s (1) cores
% 14.33/2.25 # Starting new_bool_1 with 300s (1) cores
% 14.33/2.25 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 14.33/2.25 # Search class: FUHPF-FFSF21-DFFFFFNN
% 14.33/2.25 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 14.33/2.25 # Starting G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A with 181s (1) cores
% 14.33/2.25 # G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A with pid 22456 completed with status 0
% 14.33/2.25 # Result found by G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A
% 14.33/2.25 # Preprocessing class: FSSSSMSSSSSNFFN.
% 14.33/2.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.33/2.25 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 14.33/2.25 # Starting new_bool_3 with 300s (1) cores
% 14.33/2.25 # Starting new_bool_1 with 300s (1) cores
% 14.33/2.25 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 14.33/2.25 # Search class: FUHPF-FFSF21-DFFFFFNN
% 14.33/2.25 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 14.33/2.25 # Starting G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A with 181s (1) cores
% 14.33/2.25 # Preprocessing time : 0.001 s
% 14.33/2.25 # Presaturation interreduction done
% 14.33/2.25
% 14.33/2.25 # Proof found!
% 14.33/2.25 # SZS status Unsatisfiable
% 14.33/2.25 # SZS output start CNFRefutation
% See solution above
% 14.33/2.26 # Parsed axioms : 2
% 14.33/2.26 # Removed by relevancy pruning/SinE : 0
% 14.33/2.26 # Initial clauses : 2
% 14.33/2.26 # Removed in clause preprocessing : 0
% 14.33/2.26 # Initial clauses in saturation : 2
% 14.33/2.26 # Processed clauses : 1484
% 14.33/2.26 # ...of these trivial : 225
% 14.33/2.26 # ...subsumed : 935
% 14.33/2.26 # ...remaining for further processing : 324
% 14.33/2.26 # Other redundant clauses eliminated : 0
% 14.33/2.26 # Clauses deleted for lack of memory : 0
% 14.33/2.26 # Backward-subsumed : 12
% 14.33/2.26 # Backward-rewritten : 286
% 14.33/2.26 # Generated clauses : 44852
% 14.33/2.26 # ...of the previous two non-redundant : 40344
% 14.33/2.26 # ...aggressively subsumed : 0
% 14.33/2.26 # Contextual simplify-reflections : 0
% 14.33/2.26 # Paramodulations : 44852
% 14.33/2.26 # Factorizations : 0
% 14.33/2.26 # NegExts : 0
% 14.33/2.26 # Equation resolutions : 0
% 14.33/2.26 # Total rewrite steps : 47698
% 14.33/2.26 # Propositional unsat checks : 0
% 14.33/2.26 # Propositional check models : 0
% 14.33/2.26 # Propositional check unsatisfiable : 0
% 14.33/2.26 # Propositional clauses : 0
% 14.33/2.26 # Propositional clauses after purity: 0
% 14.33/2.26 # Propositional unsat core size : 0
% 14.33/2.26 # Propositional preprocessing time : 0.000
% 14.33/2.26 # Propositional encoding time : 0.000
% 14.33/2.26 # Propositional solver time : 0.000
% 14.33/2.26 # Success case prop preproc time : 0.000
% 14.33/2.26 # Success case prop encoding time : 0.000
% 14.33/2.26 # Success case prop solver time : 0.000
% 14.33/2.26 # Current number of processed clauses : 24
% 14.33/2.26 # Positive orientable unit clauses : 23
% 14.33/2.26 # Positive unorientable unit clauses: 1
% 14.33/2.26 # Negative unit clauses : 0
% 14.33/2.26 # Non-unit-clauses : 0
% 14.33/2.26 # Current number of unprocessed clauses: 37928
% 14.33/2.26 # ...number of literals in the above : 37928
% 14.33/2.26 # Current number of archived formulas : 0
% 14.33/2.26 # Current number of archived clauses : 300
% 14.33/2.26 # Clause-clause subsumption calls (NU) : 280
% 14.33/2.26 # Rec. Clause-clause subsumption calls : 280
% 14.33/2.26 # Non-unit clause-clause subsumptions : 193
% 14.33/2.26 # Unit Clause-clause subsumption calls : 369
% 14.33/2.26 # Rewrite failures with RHS unbound : 0
% 14.33/2.26 # BW rewrite match attempts : 4603
% 14.33/2.26 # BW rewrite match successes : 396
% 14.33/2.26 # Condensation attempts : 0
% 14.33/2.26 # Condensation successes : 0
% 14.33/2.26 # Termbank termtop insertions : 1711771
% 14.33/2.26
% 14.33/2.26 # -------------------------------------------------
% 14.33/2.26 # User time : 1.745 s
% 14.33/2.26 # System time : 0.049 s
% 14.33/2.26 # Total time : 1.794 s
% 14.33/2.26 # Maximum resident set size: 1644 pages
% 14.33/2.26
% 14.33/2.26 # -------------------------------------------------
% 14.33/2.26 # User time : 1.745 s
% 14.33/2.26 # System time : 0.051 s
% 14.33/2.26 # Total time : 1.797 s
% 14.33/2.26 # Maximum resident set size: 1672 pages
% 14.33/2.26 % E---3.1 exiting
% 14.33/2.26 % E---3.1 exiting
%------------------------------------------------------------------------------