TSTP Solution File: GRP413-1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRP413-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 : Sat May 4 07:51:28 EDT 2024
% Result : Unsatisfiable 110.26s 14.32s
% Output : CNFRefutation 110.26s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X1,inverse(X2))),X3))),X2))) = X3,
file('/export/starexec/sandbox2/tmp/tmp.tYiogRWEXA/E---3.1_6800.p',single_axiom) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/tmp/tmp.tYiogRWEXA/E---3.1_6800.p',prove_these_axioms_2) ).
cnf(c_0_2,axiom,
multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X1,inverse(X2))),X3))),X2))) = X3,
single_axiom ).
cnf(c_0_3,plain,
multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2))) = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X4))),X3))),X4)),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),multiply(inverse(multiply(X2,inverse(X3))),X4)))),X1)) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2)))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_6,plain,
inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X3)))),X1)) = X3,
inference(spm,[status(thm)],[c_0_4,c_0_4]) ).
cnf(c_0_7,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,X2)))) = multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X4))),X3))),X4),
inference(spm,[status(thm)],[c_0_5,c_0_2]) ).
cnf(c_0_9,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_10,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),X3),X2)))) = multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X3)))),X4),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_11,plain,
multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(X3,X1)))))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_8]) ).
cnf(c_0_12,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),X3),X2)))) = multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),X3),b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_13,plain,
inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),X3),X2))))) = X3,
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_14,plain,
multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(multiply(X2,X3)))),inverse(multiply(inverse(multiply(multiply(inverse(X3),X3),inverse(multiply(X1,inverse(multiply(X2,X3)))))),X2))) = inverse(multiply(X1,inverse(X3))),
inference(spm,[status(thm)],[c_0_11,c_0_11]) ).
cnf(c_0_15,plain,
multiply(multiply(inverse(multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),X1),b2)))),multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),X1),b2)))),inverse(multiply(inverse(multiply(X2,inverse(multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),X1),b2)))))),multiply(X2,X1)))) = inverse(multiply(b2,inverse(b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_16,plain,
multiply(multiply(inverse(inverse(multiply(b2,inverse(b2)))),inverse(multiply(b2,inverse(b2)))),inverse(multiply(inverse(multiply(multiply(inverse(multiply(X1,X2)),multiply(X1,X2)),inverse(inverse(multiply(b2,inverse(b2)))))),inverse(multiply(X1,inverse(multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),X2),b2))))))))) = inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),X2),b2)))),multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),X2),b2)))),inverse(multiply(X1,X2)))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
multiply(multiply(inverse(inverse(multiply(b2,inverse(b2)))),inverse(multiply(b2,inverse(b2)))),inverse(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(b2,inverse(b2))),X2)))),multiply(X1,inverse(multiply(inverse(multiply(b2,inverse(b2))),X2)))),inverse(inverse(multiply(b2,inverse(b2)))))),inverse(multiply(X1,inverse(X2)))))) = inverse(multiply(multiply(inverse(X2),X2),inverse(multiply(X1,inverse(multiply(inverse(multiply(b2,inverse(b2))),X2)))))),
inference(spm,[status(thm)],[c_0_16,c_0_2]) ).
cnf(c_0_18,plain,
multiply(multiply(inverse(inverse(multiply(b2,inverse(b2)))),inverse(multiply(b2,inverse(b2)))),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(b2,inverse(b2)))))),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(X1,b2))))))))) = inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X1,b2)))),multiply(b2,inverse(multiply(X1,b2)))),inverse(X1))),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_19,plain,
multiply(inverse(multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),X4))),X2)))),multiply(X1,X5)) = multiply(inverse(X4),multiply(X3,X5)),
inference(spm,[status(thm)],[c_0_9,c_0_2]) ).
cnf(c_0_20,plain,
multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X1,b2)))),multiply(b2,inverse(multiply(X1,b2)))),inverse(X1))),inverse(multiply(b2,inverse(b2)))))) = inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(X1,b2)))))),
inference(spm,[status(thm)],[c_0_2,c_0_18]) ).
cnf(c_0_21,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(X2,b2)))))),X2)))),multiply(X1,X3)) = multiply(inverse(inverse(multiply(b2,inverse(b2)))),multiply(multiply(inverse(multiply(b2,inverse(multiply(X2,b2)))),multiply(b2,inverse(multiply(X2,b2)))),X3)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(X5,X4))))))) = multiply(inverse(multiply(multiply(inverse(X4),X4),X2)),X5),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_23,plain,
multiply(multiply(inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))),inverse(multiply(inverse(multiply(multiply(inverse(inverse(multiply(b2,inverse(b2)))),inverse(multiply(b2,inverse(b2)))),inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))))),inverse(multiply(b2,inverse(b2)))))) = inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14]) ).
cnf(c_0_24,plain,
multiply(X1,multiply(inverse(multiply(b2,inverse(b2))),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X4,X3))))))) = multiply(inverse(multiply(multiply(inverse(X3),X3),multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),X1),b2))))),X4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_12]),c_0_13]) ).
cnf(c_0_25,plain,
multiply(multiply(inverse(inverse(multiply(b2,inverse(b2)))),inverse(multiply(b2,inverse(b2)))),inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2)))))),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))))) = inverse(multiply(b2,inverse(b2))),
inference(spm,[status(thm)],[c_0_2,c_0_23]) ).
cnf(c_0_26,plain,
multiply(inverse(multiply(multiply(inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))),multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),X1),b2))))),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))))) = multiply(X1,multiply(inverse(multiply(b2,inverse(b2))),inverse(multiply(inverse(multiply(multiply(inverse(inverse(multiply(b2,inverse(b2)))),inverse(multiply(b2,inverse(b2)))),inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))))),inverse(multiply(b2,inverse(b2))))))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,plain,
multiply(inverse(multiply(multiply(inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))),multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))))) = multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(b2,b2)))),multiply(b2,inverse(multiply(b2,b2)))),inverse(b2))),inverse(multiply(b2,inverse(b2))))),multiply(inverse(multiply(b2,inverse(b2))),inverse(multiply(inverse(multiply(multiply(inverse(inverse(multiply(b2,inverse(b2)))),inverse(multiply(b2,inverse(b2)))),inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))))),inverse(multiply(b2,inverse(b2))))))),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_28,plain,
multiply(inverse(multiply(multiply(inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))),X1)),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))))) = multiply(inverse(multiply(b2,X1)),multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(inverse(multiply(b2,inverse(b2)))),inverse(multiply(b2,inverse(b2)))),inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))))),inverse(multiply(b2,inverse(b2))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_2]),c_0_9]) ).
cnf(c_0_29,plain,
multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(b2,b2)))),multiply(b2,inverse(multiply(b2,b2)))),inverse(b2))),inverse(multiply(b2,inverse(b2))))),multiply(inverse(multiply(b2,inverse(b2))),inverse(multiply(inverse(multiply(multiply(inverse(inverse(multiply(b2,inverse(b2)))),inverse(multiply(b2,inverse(b2)))),inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))))),inverse(multiply(b2,inverse(b2))))))) = multiply(inverse(multiply(b2,multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))),multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(inverse(multiply(b2,inverse(b2)))),inverse(multiply(b2,inverse(b2)))),inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2))))))))),inverse(multiply(b2,inverse(b2))))))),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,plain,
multiply(multiply(inverse(multiply(X1,X2)),multiply(X1,X2)),inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X2))))))) = inverse(multiply(X1,X5)),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_31,plain,
inverse(multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(b2,b2)))),multiply(b2,inverse(multiply(b2,b2)))),inverse(b2))),inverse(multiply(b2,inverse(b2))))) = inverse(multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_29]),c_0_30]) ).
cnf(c_0_32,plain,
multiply(multiply(inverse(multiply(b2,inverse(multiply(b2,inverse(b2))))),multiply(b2,inverse(multiply(b2,inverse(b2))))),inverse(multiply(inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(inverse(b2),b2))))))),b2))) = inverse(multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(inverse(b2)))),inverse(inverse(b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_20]),c_0_9]) ).
cnf(c_0_33,plain,
multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(b2,b2)))),multiply(b2,inverse(multiply(b2,b2)))),inverse(b2))),inverse(multiply(b2,inverse(b2)))) = multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_31]),c_0_5]) ).
cnf(c_0_34,plain,
multiply(multiply(inverse(multiply(X1,inverse(multiply(b2,inverse(b2))))),multiply(X1,inverse(multiply(b2,inverse(b2))))),inverse(multiply(inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(inverse(b2),b2))))))),b2))) = inverse(multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(inverse(b2)))),inverse(inverse(b2)))),
inference(spm,[status(thm)],[c_0_32,c_0_9]) ).
cnf(c_0_35,plain,
multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(b2,b2)))),multiply(X1,inverse(multiply(b2,b2)))),inverse(b2))),inverse(multiply(b2,inverse(b2)))) = multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2)))),
inference(spm,[status(thm)],[c_0_33,c_0_9]) ).
cnf(c_0_36,plain,
multiply(multiply(inverse(multiply(b2,multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))),multiply(b2,multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))),inverse(multiply(inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(inverse(b2),b2))))))),b2))) = inverse(multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(inverse(b2)))),inverse(inverse(b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_9]) ).
cnf(c_0_37,plain,
multiply(multiply(inverse(inverse(multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(inverse(b2)))),inverse(inverse(b2))))),inverse(multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(inverse(b2)))),inverse(inverse(b2))))),inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(inverse(multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(inverse(b2)))),inverse(inverse(b2))))))),inverse(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))))))))) = inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(b2,inverse(b2))))),multiply(b2,inverse(multiply(b2,inverse(b2))))),inverse(b2))),
inference(spm,[status(thm)],[c_0_14,c_0_32]) ).
cnf(c_0_38,plain,
multiply(multiply(inverse(X1),X1),inverse(multiply(X2,multiply(multiply(multiply(inverse(inverse(X1)),inverse(X1)),inverse(multiply(inverse(multiply(X3,inverse(inverse(X1)))),multiply(X3,X2)))),inverse(multiply(X4,X1)))))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_10]),c_0_13]) ).
cnf(c_0_39,plain,
inverse(multiply(multiply(inverse(multiply(b2,multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))),multiply(b2,multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))),inverse(b2))) = inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(b2,inverse(b2))))),multiply(b2,inverse(multiply(b2,inverse(b2))))),inverse(b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_36]),c_0_37]) ).
cnf(c_0_40,plain,
multiply(inverse(multiply(b2,multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))),multiply(b2,multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))) = multiply(inverse(multiply(b2,inverse(multiply(b2,inverse(b2))))),multiply(b2,inverse(multiply(b2,inverse(b2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_38]) ).
cnf(c_0_41,plain,
multiply(inverse(multiply(X1,multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))),multiply(X1,multiply(b2,inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))))) = multiply(inverse(multiply(b2,inverse(multiply(b2,inverse(b2))))),multiply(b2,inverse(multiply(b2,inverse(b2))))),
inference(spm,[status(thm)],[c_0_9,c_0_40]) ).
cnf(c_0_42,plain,
multiply(X1,multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),X1),X3))))) = multiply(inverse(multiply(b2,inverse(multiply(b2,inverse(b2))))),multiply(b2,inverse(multiply(b2,inverse(b2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_10]),c_0_13]) ).
cnf(c_0_43,plain,
multiply(multiply(inverse(multiply(X1,inverse(multiply(b2,b2)))),multiply(X1,inverse(multiply(b2,b2)))),inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2))) = inverse(multiply(b2,inverse(b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_35]),c_0_11]) ).
cnf(c_0_44,plain,
multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(b2,b2)))))),multiply(X1,inverse(multiply(inverse(multiply(b2,inverse(b2))),multiply(X2,inverse(multiply(b2,b2))))))) = multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(b2,b2)))))),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_35]),c_0_11]) ).
cnf(c_0_45,plain,
multiply(inverse(multiply(b2,inverse(multiply(b2,inverse(b2))))),multiply(b2,inverse(multiply(b2,inverse(b2))))) = multiply(inverse(multiply(b2,b2)),multiply(b2,b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_9]) ).
cnf(c_0_46,plain,
multiply(X1,multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),X1),X3))))) = multiply(inverse(multiply(b2,b2)),multiply(b2,b2)),
inference(rw,[status(thm)],[c_0_42,c_0_45]) ).
cnf(c_0_47,plain,
multiply(inverse(multiply(b2,b2)),multiply(b2,b2)) = multiply(inverse(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_46]),c_0_2]),c_0_2]) ).
cnf(c_0_48,plain,
multiply(inverse(b2),b2) = multiply(inverse(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_47]),c_0_47]),c_0_2]),c_0_11]) ).
cnf(c_0_49,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_48,c_0_48]) ).
cnf(c_0_50,plain,
multiply(multiply(multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,inverse(b2))),inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2)))),multiply(b2,inverse(b2))) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_45]),c_0_5]) ).
cnf(c_0_51,plain,
multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(inverse(X3),X3)))))) = inverse(X1),
inference(spm,[status(thm)],[c_0_11,c_0_49]) ).
cnf(c_0_52,plain,
multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X1),X1))),multiply(b2,inverse(b2))) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_49]),c_0_47]),c_0_48]) ).
cnf(c_0_53,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X1),X1))) = inverse(multiply(inverse(X2),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_49]),c_0_49]) ).
cnf(c_0_54,plain,
multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X2),X2))),inverse(multiply(X3,X1)))))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_49]),c_0_49]) ).
cnf(c_0_55,plain,
multiply(inverse(multiply(inverse(b2),b2)),multiply(b2,inverse(b2))) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_49]),c_0_5]) ).
cnf(c_0_57,plain,
multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))),multiply(b2,inverse(b2))) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_47]),c_0_47]) ).
cnf(c_0_58,plain,
multiply(X1,multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),X1),X3))))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_59,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(inverse(multiply(b2,inverse(b2)))),multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(b2,inverse(b2))))))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_47]),c_0_48]),c_0_53]) ).
cnf(c_0_60,plain,
multiply(inverse(multiply(inverse(X1),X1)),b2) = b2,
inference(spm,[status(thm)],[c_0_56,c_0_53]) ).
cnf(c_0_61,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X3),X2)),multiply(inverse(X4),X4)),
inference(spm,[status(thm)],[c_0_9,c_0_49]) ).
cnf(c_0_62,plain,
multiply(multiply(multiply(inverse(inverse(X1)),inverse(X1)),inverse(multiply(inverse(multiply(X2,inverse(inverse(X1)))),multiply(X2,X3)))),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(X3,X4))),X1))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_10]),c_0_13]) ).
cnf(c_0_63,plain,
multiply(inverse(multiply(X1,multiply(b2,inverse(b2)))),multiply(X1,X2)) = multiply(inverse(multiply(b2,inverse(b2))),multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))),X2)),
inference(spm,[status(thm)],[c_0_9,c_0_57]) ).
cnf(c_0_64,plain,
multiply(inverse(multiply(b2,multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(b2,inverse(b2)))))),multiply(b2,inverse(multiply(b2,inverse(b2))))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_49]),c_0_61]) ).
cnf(c_0_65,plain,
multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(inverse(X3)))),multiply(X2,X4)))),inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(X4,X5))),X3))) = X5,
inference(spm,[status(thm)],[c_0_62,c_0_49]) ).
cnf(c_0_66,plain,
multiply(inverse(multiply(b2,multiply(b2,inverse(b2)))),multiply(b2,multiply(b2,multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(b2,inverse(b2))))))) = multiply(inverse(multiply(b2,multiply(b2,inverse(b2)))),multiply(b2,multiply(b2,inverse(multiply(b2,inverse(b2)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_63]),c_0_61]) ).
cnf(c_0_67,plain,
multiply(b2,multiply(b2,multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(b2,inverse(b2)))))) = multiply(b2,multiply(b2,inverse(multiply(b2,inverse(b2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_65]) ).
cnf(c_0_68,plain,
multiply(b2,multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(b2,inverse(b2))))) = multiply(b2,inverse(multiply(b2,inverse(b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_67]),c_0_65]) ).
cnf(c_0_69,plain,
multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),X3))),X1) = multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X2,inverse(X4))),X3))),X4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_2]),c_0_5]) ).
cnf(c_0_70,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X2,inverse(multiply(X3,X1)))))),X3))) = inverse(multiply(X2,inverse(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_47]),c_0_47]) ).
cnf(c_0_71,plain,
multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(b2,inverse(b2)))) = inverse(multiply(b2,inverse(b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_68]),c_0_65]) ).
cnf(c_0_72,plain,
multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X1),X1))),inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X3))),X2))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_49]),c_0_49]) ).
cnf(c_0_73,plain,
multiply(X1,inverse(multiply(multiply(multiply(inverse(multiply(X2,X3)),multiply(X2,X3)),inverse(multiply(inverse(multiply(X1,inverse(multiply(X4,X3)))),X5))),multiply(X4,X3)))) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_9]) ).
cnf(c_0_74,plain,
multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),X3))),X1) = multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X2,inverse(X5))),X3))),X5),
inference(spm,[status(thm)],[c_0_69,c_0_49]) ).
cnf(c_0_75,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(inverse(multiply(b2,inverse(b2)))))),b2))) = inverse(multiply(inverse(multiply(inverse(b2),b2)),inverse(inverse(b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_47]),c_0_48]) ).
cnf(c_0_76,plain,
multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X2))),X1))) = X2,
inference(rw,[status(thm)],[c_0_72,c_0_53]) ).
cnf(c_0_77,plain,
multiply(X1,inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X1,inverse(X4))),X2))),X4)))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_2]),c_0_48]) ).
cnf(c_0_78,plain,
multiply(inverse(multiply(inverse(multiply(inverse(b2),b2)),inverse(inverse(b2)))),inverse(multiply(b2,inverse(b2)))) = multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,inverse(multiply(b2,b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_8]) ).
cnf(c_0_79,plain,
multiply(inverse(multiply(inverse(b2),b2)),inverse(b2)) = inverse(b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_53]),c_0_60]) ).
cnf(c_0_80,plain,
multiply(X1,inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(X1,X2)),X3))),multiply(inverse(multiply(X4,inverse(X5))),multiply(X4,inverse(multiply(multiply(multiply(inverse(X5),X5),X2),X5))))))) = X3,
inference(spm,[status(thm)],[c_0_77,c_0_10]) ).
cnf(c_0_81,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(b2),b2)),inverse(inverse(b2)))),inverse(inverse(b2)))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_78]),c_0_47]),c_0_48]),c_0_11]),c_0_53]) ).
cnf(c_0_82,plain,
multiply(inverse(multiply(inverse(X1),X1)),inverse(b2)) = inverse(b2),
inference(spm,[status(thm)],[c_0_79,c_0_49]) ).
cnf(c_0_83,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(b2,inverse(b2)))) = multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))),X2)),multiply(b2,inverse(b2))),
inference(spm,[status(thm)],[c_0_9,c_0_57]) ).
cnf(c_0_84,plain,
multiply(inverse(multiply(inverse(b2),b2)),inverse(inverse(b2))) = inverse(inverse(b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_53]),c_0_5]),c_0_82]) ).
cnf(c_0_85,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X2),X3)),
inference(spm,[status(thm)],[c_0_9,c_0_49]) ).
cnf(c_0_86,plain,
multiply(inverse(multiply(b2,inverse(inverse(b2)))),multiply(b2,multiply(b2,inverse(b2)))) = multiply(inverse(inverse(inverse(b2))),multiply(b2,inverse(b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_81]),c_0_53]),c_0_84]),c_0_85]),c_0_84]) ).
cnf(c_0_87,plain,
multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(inverse(inverse(b2))),multiply(b2,inverse(b2))))),inverse(b2)))) = multiply(b2,multiply(b2,inverse(b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_86]),c_0_5]) ).
cnf(c_0_88,plain,
inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(inverse(inverse(b2))),multiply(b2,inverse(b2))))),inverse(b2))) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_87]),c_0_65]) ).
cnf(c_0_89,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X4)),X2)))) = X4,
inference(spm,[status(thm)],[c_0_5,c_0_49]) ).
cnf(c_0_90,plain,
inverse(multiply(multiply(b2,inverse(b2)),multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(inverse(inverse(b2))),multiply(b2,inverse(b2))))),inverse(b2)))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_88]),c_0_53]) ).
cnf(c_0_91,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(fof_simplification,[status(thm)],[prove_these_axioms_2]) ).
cnf(c_0_92,plain,
multiply(multiply(b2,inverse(b2)),multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(inverse(inverse(b2))),multiply(b2,inverse(b2))))),inverse(b2))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_89]) ).
cnf(c_0_93,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
c_0_91 ).
cnf(c_0_94,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(b2,inverse(b2))),multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(b2),b2)))))) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_92]),c_0_88]),c_0_92]),c_0_88]),c_0_53]) ).
cnf(c_0_95,plain,
multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X4,X3)))))) = X4,
inference(spm,[status(thm)],[c_0_11,c_0_49]) ).
cnf(c_0_96,negated_conjecture,
multiply(multiply(inverse(X1),X1),a2) != a2,
inference(spm,[status(thm)],[c_0_93,c_0_48]) ).
cnf(c_0_97,plain,
multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(b2),b2))) = multiply(b2,inverse(multiply(multiply(b2,inverse(b2)),b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_94]),c_0_95]) ).
cnf(c_0_98,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),X3),X2)))) = multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X5,inverse(X6))),multiply(X5,X3)))),X6),
inference(spm,[status(thm)],[c_0_10,c_0_49]) ).
cnf(c_0_99,negated_conjecture,
multiply(multiply(multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2))),multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X4))),X3))),X4)),a2) != a2,
inference(spm,[status(thm)],[c_0_96,c_0_3]) ).
cnf(c_0_100,plain,
multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X1,inverse(X3))),X4))),X3))) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_49]) ).
cnf(c_0_101,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(multiply(multiply(b2,inverse(b2)),b2)))))),inverse(b2)))) = inverse(inverse(b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_97]),c_0_82]) ).
cnf(c_0_102,plain,
multiply(inverse(multiply(inverse(X1),X1)),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_53]),c_0_89]) ).
cnf(c_0_103,negated_conjecture,
multiply(multiply(inverse(X1),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),X1)),a2) != a2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_49]),c_0_2]) ).
cnf(c_0_104,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(inverse(b2)),multiply(b2,inverse(multiply(multiply(b2,inverse(b2)),b2)))))) = inverse(b2),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,plain,
multiply(b2,inverse(multiply(multiply(b2,inverse(b2)),b2))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[c_0_97,c_0_102]) ).
cnf(c_0_106,negated_conjecture,
multiply(multiply(inverse(X1),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))),X1)),a2) != a2,
inference(spm,[status(thm)],[c_0_103,c_0_49]) ).
cnf(c_0_107,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(inverse(b2)),inverse(multiply(inverse(b2),b2))))) = inverse(b2),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_108,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3),
inference(rw,[status(thm)],[c_0_85,c_0_102]) ).
cnf(c_0_109,negated_conjecture,
multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X2))),X1))),X2),a2) != a2,
inference(spm,[status(thm)],[c_0_106,c_0_62]) ).
cnf(c_0_110,plain,
multiply(multiply(inverse(multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),multiply(b2,inverse(b2))),b2)))),multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),multiply(b2,inverse(b2))),b2)))),inverse(multiply(inverse(multiply(multiply(multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,inverse(b2))),inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2)))),inverse(multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),multiply(b2,inverse(b2))),b2)))))),multiply(b2,inverse(b2))))) = inverse(multiply(b2,inverse(b2))),
inference(spm,[status(thm)],[c_0_15,c_0_50]) ).
cnf(c_0_111,plain,
inverse(multiply(inverse(inverse(b2)),inverse(multiply(inverse(b2),b2)))) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_107]),c_0_108]),c_0_49]),c_0_53]),c_0_107]) ).
cnf(c_0_112,negated_conjecture,
multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),X1))),inverse(X1)),a2) != a2,
inference(spm,[status(thm)],[c_0_109,c_0_49]) ).
cnf(c_0_113,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))),inverse(multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),multiply(b2,inverse(b2))),b2)))))),multiply(b2,inverse(b2))))) = inverse(multiply(b2,inverse(b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_47]),c_0_47]),c_0_47]),c_0_47]),c_0_47]) ).
cnf(c_0_114,plain,
multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(multiply(multiply(multiply(inverse(multiply(X4,X3)),multiply(X4,X3)),inverse(X5)),multiply(X2,X3))))) = X5,
inference(spm,[status(thm)],[c_0_5,c_0_9]) ).
cnf(c_0_115,plain,
multiply(multiply(inverse(b2),b2),inverse(b2)) = inverse(b2),
inference(rw,[status(thm)],[c_0_107,c_0_111]) ).
cnf(c_0_116,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(multiply(multiply(multiply(inverse(multiply(X4,X3)),multiply(X4,X3)),X5),multiply(X2,X3)))))) = X5,
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_117,negated_conjecture,
multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),X3))),inverse(X3)),a2) != a2,
inference(spm,[status(thm)],[c_0_112,c_0_49]) ).
cnf(c_0_118,plain,
inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))),inverse(multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),multiply(b2,inverse(b2))),b2)))))) = multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(b2))))),inverse(multiply(b2,inverse(b2)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_113]),c_0_47]),c_0_48]) ).
cnf(c_0_119,plain,
multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(X1,inverse(inverse(multiply(X2,X3))))),multiply(X1,X4)))),inverse(multiply(X2,X3)))),X5) = multiply(X4,X5),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_62]),c_0_49]) ).
cnf(c_0_120,plain,
inverse(multiply(inverse(b2),b2)) = multiply(inverse(b2),b2),
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_54,c_0_115]),c_0_47]),c_0_48]),c_0_53]),c_0_102]),c_0_47]),c_0_48]),c_0_53]) ).
cnf(c_0_121,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(inverse(inverse(inverse(b2)))),multiply(inverse(multiply(inverse(b2),b2)),inverse(inverse(inverse(b2))))))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_84]),c_0_47]),c_0_48]),c_0_53]) ).
cnf(c_0_122,plain,
inverse(multiply(inverse(X1),multiply(X2,inverse(multiply(multiply(multiply(inverse(b2),b2),X3),multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X2,inverse(X4))),X1))),X4)))))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_2]),c_0_49]) ).
cnf(c_0_123,negated_conjecture,
multiply(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,inverse(b2))))),inverse(multiply(b2,inverse(b2))))))),inverse(inverse(multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),multiply(b2,inverse(b2))),b2)))))),a2) != a2,
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_124,plain,
multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(X1,X2)))),X3) = multiply(inverse(inverse(multiply(X1,X2))),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_49]),c_0_53]),c_0_120]) ).
cnf(c_0_125,plain,
multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2)) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_102]),c_0_49]),c_0_120]),c_0_120]) ).
cnf(c_0_126,plain,
inverse(multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(b2),b2),X2),X1)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_49]),c_0_56]),c_0_108]) ).
cnf(c_0_127,negated_conjecture,
multiply(multiply(multiply(inverse(b2),b2),inverse(inverse(multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),multiply(b2,inverse(b2))),b2)))))),a2) != a2,
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_123,c_0_124]),c_0_124]),c_0_47]),c_0_48]),c_0_120]),c_0_120]) ).
cnf(c_0_128,plain,
multiply(multiply(inverse(b2),b2),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_125]),c_0_102]),c_0_102]) ).
cnf(c_0_129,plain,
inverse(multiply(inverse(X1),X1)) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_53]),c_0_102]),c_0_49]),c_0_120]) ).
cnf(c_0_130,negated_conjecture,
$false,
inference(cn,[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_127,c_0_128]),c_0_128]),c_0_105]),c_0_129]),c_0_129]),c_0_129]),c_0_128])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GRP413-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n016.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 16:07:07 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.16/0.40 Running first-order theorem proving
% 0.16/0.40 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.tYiogRWEXA/E---3.1_6800.p
% 110.26/14.32 # Version: 3.1.0
% 110.26/14.32 # Preprocessing class: FSSSSMSSSSSNFFN.
% 110.26/14.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 110.26/14.32 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 110.26/14.32 # Starting new_bool_3 with 300s (1) cores
% 110.26/14.32 # Starting new_bool_1 with 300s (1) cores
% 110.26/14.32 # Starting sh5l with 300s (1) cores
% 110.26/14.32 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 6881 completed with status 0
% 110.26/14.32 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 110.26/14.32 # Preprocessing class: FSSSSMSSSSSNFFN.
% 110.26/14.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 110.26/14.32 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 110.26/14.32 # No SInE strategy applied
% 110.26/14.32 # Search class: FUUPF-FFSF21-DFFFFFNN
% 110.26/14.32 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 110.26/14.32 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 110.26/14.32 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 110.26/14.32 # Starting new_bool_3 with 136s (1) cores
% 110.26/14.32 # Starting new_bool_1 with 136s (1) cores
% 110.26/14.32 # Starting sh5l with 136s (1) cores
% 110.26/14.32 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 6887 completed with status 0
% 110.26/14.32 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 110.26/14.32 # Preprocessing class: FSSSSMSSSSSNFFN.
% 110.26/14.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 110.26/14.32 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 110.26/14.32 # No SInE strategy applied
% 110.26/14.32 # Search class: FUUPF-FFSF21-DFFFFFNN
% 110.26/14.32 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 110.26/14.32 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 110.26/14.32 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 110.26/14.32 # Preprocessing time : 0.001 s
% 110.26/14.32
% 110.26/14.32 # Proof found!
% 110.26/14.32 # SZS status Unsatisfiable
% 110.26/14.32 # SZS output start CNFRefutation
% See solution above
% 110.26/14.32 # Parsed axioms : 2
% 110.26/14.32 # Removed by relevancy pruning/SinE : 0
% 110.26/14.32 # Initial clauses : 2
% 110.26/14.32 # Removed in clause preprocessing : 0
% 110.26/14.32 # Initial clauses in saturation : 2
% 110.26/14.32 # Processed clauses : 7838
% 110.26/14.32 # ...of these trivial : 667
% 110.26/14.32 # ...subsumed : 5562
% 110.26/14.32 # ...remaining for further processing : 1609
% 110.26/14.32 # Other redundant clauses eliminated : 0
% 110.26/14.32 # Clauses deleted for lack of memory : 0
% 110.26/14.32 # Backward-subsumed : 34
% 110.26/14.32 # Backward-rewritten : 830
% 110.26/14.32 # Generated clauses : 461734
% 110.26/14.32 # ...of the previous two non-redundant : 436689
% 110.26/14.32 # ...aggressively subsumed : 0
% 110.26/14.32 # Contextual simplify-reflections : 0
% 110.26/14.32 # Paramodulations : 461734
% 110.26/14.32 # Factorizations : 0
% 110.26/14.32 # NegExts : 0
% 110.26/14.32 # Equation resolutions : 0
% 110.26/14.32 # Disequality decompositions : 0
% 110.26/14.32 # Total rewrite steps : 216989
% 110.26/14.32 # ...of those cached : 182480
% 110.26/14.32 # Propositional unsat checks : 0
% 110.26/14.32 # Propositional check models : 0
% 110.26/14.32 # Propositional check unsatisfiable : 0
% 110.26/14.32 # Propositional clauses : 0
% 110.26/14.32 # Propositional clauses after purity: 0
% 110.26/14.32 # Propositional unsat core size : 0
% 110.26/14.32 # Propositional preprocessing time : 0.000
% 110.26/14.32 # Propositional encoding time : 0.000
% 110.26/14.32 # Propositional solver time : 0.000
% 110.26/14.32 # Success case prop preproc time : 0.000
% 110.26/14.32 # Success case prop encoding time : 0.000
% 110.26/14.32 # Success case prop solver time : 0.000
% 110.26/14.32 # Current number of processed clauses : 745
% 110.26/14.32 # Positive orientable unit clauses : 80
% 110.26/14.32 # Positive unorientable unit clauses: 11
% 110.26/14.32 # Negative unit clauses : 654
% 110.26/14.32 # Non-unit-clauses : 0
% 110.26/14.32 # Current number of unprocessed clauses: 421678
% 110.26/14.32 # ...number of literals in the above : 421678
% 110.26/14.32 # Current number of archived formulas : 0
% 110.26/14.32 # Current number of archived clauses : 864
% 110.26/14.32 # Clause-clause subsumption calls (NU) : 0
% 110.26/14.32 # Rec. Clause-clause subsumption calls : 0
% 110.26/14.32 # Non-unit clause-clause subsumptions : 0
% 110.26/14.32 # Unit Clause-clause subsumption calls : 157081
% 110.26/14.32 # Rewrite failures with RHS unbound : 0
% 110.26/14.32 # BW rewrite match attempts : 111580
% 110.26/14.32 # BW rewrite match successes : 2036
% 110.26/14.32 # Condensation attempts : 0
% 110.26/14.32 # Condensation successes : 0
% 110.26/14.32 # Termbank termtop insertions : 29070115
% 110.26/14.32 # Search garbage collected termcells : 2
% 110.26/14.32
% 110.26/14.32 # -------------------------------------------------
% 110.26/14.32 # User time : 13.344 s
% 110.26/14.32 # System time : 0.441 s
% 110.26/14.32 # Total time : 13.785 s
% 110.26/14.32 # Maximum resident set size: 1604 pages
% 110.26/14.32
% 110.26/14.32 # -------------------------------------------------
% 110.26/14.32 # User time : 68.082 s
% 110.26/14.32 # System time : 0.820 s
% 110.26/14.32 # Total time : 68.902 s
% 110.26/14.32 # Maximum resident set size: 1748 pages
% 110.26/14.32 % E---3.1 exiting
% 110.26/14.33 % E exiting
%------------------------------------------------------------------------------