TSTP Solution File: GRP062-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP062-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n008.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 : Thu Aug 31 00:15:26 EDT 2023
% Result : Unsatisfiable 0.74s 0.87s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 11
% Syntax : Number of formulae : 87 ( 74 unt; 9 typ; 0 def)
% Number of atoms : 84 ( 83 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 143 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
inverse: $i > $i ).
tff(decl_23,type,
multiply: ( $i * $i ) > $i ).
tff(decl_24,type,
a1: $i ).
tff(decl_25,type,
b1: $i ).
tff(decl_26,type,
b2: $i ).
tff(decl_27,type,
a2: $i ).
tff(decl_28,type,
a3: $i ).
tff(decl_29,type,
b3: $i ).
tff(decl_30,type,
c3: $i ).
cnf(single_axiom,axiom,
inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(X1,X2))))))) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_0_2,axiom,
inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(X1,X2))))))) = X4,
single_axiom ).
cnf(c_0_3,plain,
inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X4,X1)))),multiply(multiply(X5,inverse(X5)),X3)))) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(multiply(multiply(X3,inverse(X3)),X4),multiply(multiply(X5,inverse(X5)),X6)))) = multiply(multiply(X7,inverse(X7)),inverse(multiply(X2,multiply(X4,X6)))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_5,plain,
inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X4)))),multiply(multiply(multiply(X5,inverse(X5)),X2),multiply(multiply(X6,inverse(X6)),X3)))) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_6,plain,
multiply(a1,inverse(a1)) = multiply(X1,inverse(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_4]),c_0_3]) ).
cnf(c_0_7,plain,
multiply(multiply(a1,inverse(a1)),inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X2)))) = X3,
inference(rw,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_8,plain,
multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_9,plain,
multiply(multiply(a1,inverse(a1)),inverse(multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),multiply(X3,inverse(X3))))) = X2,
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
inverse(multiply(X1,multiply(inverse(X1),X2))) = inverse(multiply(X3,multiply(inverse(X3),X2))),
inference(spm,[status(thm)],[c_0_2,c_0_9]) ).
cnf(c_0_11,plain,
multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X3,X4))),multiply(X2,X3)))) = X4,
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
inverse(multiply(X1,multiply(inverse(X1),inverse(inverse(X2))))) = inverse(multiply(X2,multiply(X3,inverse(X3)))),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
cnf(c_0_13,plain,
multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(a1,inverse(a1)))),multiply(X2,X3)))) = inverse(X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_14,plain,
multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(a1,inverse(a1)))),multiply(a1,inverse(a1))))) = inverse(inverse(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_12]) ).
cnf(c_0_15,plain,
inverse(multiply(inverse(X1),multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(inverse(X4),X2))))))) = X1,
inference(spm,[status(thm)],[c_0_3,c_0_9]) ).
cnf(c_0_16,plain,
multiply(multiply(a1,inverse(a1)),inverse(multiply(inverse(multiply(X1,multiply(a1,inverse(a1)))),multiply(X2,inverse(X2))))) = inverse(inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_12]),c_0_12]) ).
cnf(c_0_17,plain,
inverse(multiply(inverse(a1),multiply(inverse(inverse(X1)),multiply(multiply(X2,inverse(X2)),inverse(multiply(X1,multiply(a1,inverse(a1)))))))) = a1,
inference(spm,[status(thm)],[c_0_3,c_0_14]) ).
cnf(c_0_18,plain,
multiply(X1,inverse(X1)) = multiply(multiply(X2,multiply(inverse(X2),X3)),inverse(multiply(X4,multiply(inverse(X4),X3)))),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_19,plain,
inverse(multiply(inverse(X1),multiply(inverse(inverse(inverse(multiply(X2,multiply(a1,inverse(a1)))))),inverse(inverse(X2))))) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
inverse(multiply(inverse(a1),multiply(inverse(inverse(inverse(multiply(X1,multiply(a1,inverse(a1)))))),inverse(inverse(X1))))) = a1,
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_21,plain,
multiply(multiply(inverse(X1),multiply(inverse(inverse(inverse(multiply(X2,multiply(a1,inverse(a1)))))),inverse(inverse(X2)))),X1) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_18]) ).
cnf(c_0_22,plain,
inverse(multiply(inverse(a1),multiply(inverse(inverse(inverse(multiply(multiply(inverse(a1),multiply(inverse(inverse(inverse(multiply(X1,multiply(a1,inverse(a1)))))),inverse(inverse(X1)))),multiply(a1,inverse(a1)))))),inverse(a1)))) = a1,
inference(spm,[status(thm)],[c_0_20,c_0_20]) ).
cnf(c_0_23,plain,
multiply(X1,multiply(inverse(X1),X2)) = multiply(X3,multiply(inverse(X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_10]),c_0_15]) ).
cnf(c_0_24,plain,
inverse(multiply(inverse(X1),multiply(inverse(inverse(inverse(multiply(a1,inverse(a1))))),inverse(multiply(a1,inverse(a1)))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_21]),c_0_19]) ).
cnf(c_0_25,plain,
inverse(multiply(inverse(a1),multiply(inverse(inverse(inverse(multiply(multiply(inverse(a1),multiply(inverse(inverse(inverse(multiply(a1,inverse(a1))))),inverse(multiply(a1,inverse(a1))))),multiply(a1,inverse(a1)))))),inverse(a1)))) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_21]),c_0_19]) ).
cnf(c_0_26,plain,
multiply(X1,multiply(inverse(X1),inverse(inverse(X2)))) = multiply(X2,multiply(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_18]) ).
cnf(c_0_27,plain,
inverse(multiply(X1,multiply(inverse(X1),inverse(multiply(a1,inverse(a1)))))) = inverse(multiply(a1,inverse(a1))),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_28,plain,
multiply(multiply(a1,inverse(a1)),inverse(multiply(inverse(multiply(X1,multiply(X2,inverse(X2)))),multiply(X1,X3)))) = inverse(X3),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_29,plain,
inverse(inverse(multiply(inverse(a1),multiply(inverse(inverse(inverse(multiply(a1,inverse(a1))))),inverse(multiply(a1,inverse(a1))))))) = inverse(a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_25]),c_0_26]),c_0_14]) ).
cnf(c_0_30,plain,
multiply(X1,multiply(inverse(X1),inverse(multiply(a1,inverse(a1))))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_27]),c_0_15]) ).
cnf(c_0_31,plain,
multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X3,inverse(X3)))),multiply(X2,X4)))) = inverse(X4),
inference(spm,[status(thm)],[c_0_28,c_0_8]) ).
cnf(c_0_32,plain,
inverse(multiply(X1,multiply(X2,multiply(multiply(multiply(X3,multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(multiply(X6,multiply(X3,X4)))))),X6),inverse(multiply(X7,multiply(X1,X2))))))) = X7,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_33,plain,
inverse(multiply(inverse(a1),multiply(inverse(inverse(inverse(multiply(a1,inverse(a1))))),inverse(multiply(a1,inverse(a1)))))) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_29]),c_0_15]) ).
cnf(c_0_34,plain,
multiply(inverse(X1),inverse(multiply(a1,inverse(a1)))) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_30]),c_0_31]) ).
cnf(c_0_35,plain,
inverse(multiply(multiply(multiply(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(X1,X2)))))),X4),inverse(multiply(X5,multiply(X6,X7)))),multiply(multiply(multiply(X8,inverse(X8)),X5),multiply(multiply(X9,inverse(X9)),X6)))) = X7,
inference(spm,[status(thm)],[c_0_3,c_0_32]) ).
cnf(c_0_36,plain,
multiply(multiply(inverse(a1),multiply(inverse(inverse(inverse(multiply(a1,inverse(a1))))),inverse(multiply(a1,inverse(a1))))),a1) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_33]),c_0_18]) ).
cnf(c_0_37,plain,
multiply(X1,inverse(multiply(a1,inverse(a1)))) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
multiply(multiply(inverse(a1),inverse(inverse(inverse(multiply(a1,inverse(a1)))))),a1) = multiply(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,plain,
multiply(multiply(X1,inverse(X1)),inverse(multiply(a1,inverse(a1)))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_21]),c_0_4]),c_0_21]),c_0_8]) ).
cnf(c_0_40,plain,
inverse(multiply(inverse(a1),inverse(inverse(inverse(multiply(a1,inverse(a1))))))) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_38]),c_0_31]) ).
cnf(c_0_41,plain,
inverse(multiply(inverse(X1),multiply(inverse(multiply(a1,inverse(a1))),multiply(a1,inverse(a1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_24]),c_0_39]) ).
cnf(c_0_42,plain,
inverse(multiply(a1,inverse(inverse(inverse(multiply(a1,inverse(a1))))))) = multiply(inverse(a1),inverse(inverse(inverse(multiply(a1,inverse(a1)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_40]),c_0_34]) ).
cnf(c_0_43,plain,
inverse(multiply(a1,multiply(inverse(multiply(a1,inverse(a1))),multiply(a1,inverse(a1))))) = multiply(inverse(a1),inverse(inverse(inverse(multiply(a1,inverse(a1)))))),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_44,plain,
multiply(multiply(a1,inverse(inverse(inverse(multiply(a1,inverse(a1)))))),multiply(inverse(a1),inverse(inverse(inverse(multiply(a1,inverse(a1))))))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_42]),c_0_18]) ).
cnf(c_0_45,plain,
multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))) = multiply(X2,inverse(X2)),
inference(spm,[status(thm)],[c_0_39,c_0_8]) ).
cnf(c_0_46,plain,
multiply(multiply(a1,multiply(inverse(multiply(a1,inverse(a1))),multiply(a1,inverse(a1)))),multiply(inverse(a1),inverse(inverse(inverse(multiply(a1,inverse(a1))))))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_43]),c_0_18]) ).
cnf(c_0_47,plain,
inverse(multiply(inverse(a1),multiply(inverse(inverse(inverse(multiply(a1,inverse(a1))))),multiply(a1,inverse(a1))))) = multiply(a1,inverse(inverse(inverse(multiply(a1,inverse(a1)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_44]),c_0_45]) ).
cnf(c_0_48,plain,
multiply(multiply(a1,inverse(a1)),inverse(multiply(inverse(multiply(X1,multiply(X2,inverse(X2)))),multiply(a1,inverse(a1))))) = inverse(inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_12]),c_0_12]) ).
cnf(c_0_49,plain,
inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X4)))),multiply(multiply(multiply(X5,inverse(X5)),X2),multiply(multiply(multiply(X6,multiply(X7,multiply(multiply(X8,inverse(X8)),inverse(multiply(X9,multiply(X6,X7)))))),X9),X3)))) = X4,
inference(spm,[status(thm)],[c_0_32,c_0_3]) ).
cnf(c_0_50,plain,
multiply(a1,multiply(inverse(multiply(a1,inverse(a1))),multiply(a1,inverse(a1)))) = multiply(a1,inverse(inverse(inverse(multiply(a1,inverse(a1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_46]),c_0_45]),c_0_47]) ).
cnf(c_0_51,plain,
inverse(multiply(inverse(a1),multiply(inverse(inverse(inverse(multiply(X1,multiply(X2,inverse(X2)))))),inverse(inverse(X1))))) = a1,
inference(spm,[status(thm)],[c_0_17,c_0_48]) ).
cnf(c_0_52,plain,
multiply(inverse(multiply(a1,inverse(a1))),multiply(a1,inverse(a1))) = inverse(inverse(inverse(multiply(a1,inverse(a1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_49]) ).
cnf(c_0_53,plain,
multiply(X1,inverse(multiply(X2,inverse(X2)))) = X1,
inference(spm,[status(thm)],[c_0_37,c_0_8]) ).
cnf(c_0_54,plain,
inverse(multiply(inverse(a1),multiply(inverse(inverse(inverse(inverse(inverse(inverse(multiply(a1,inverse(a1)))))))),inverse(inverse(inverse(multiply(a1,inverse(a1)))))))) = a1,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(a1,inverse(a1))))))) = X1,
inference(spm,[status(thm)],[c_0_24,c_0_53]) ).
cnf(c_0_56,plain,
multiply(inverse(a1),multiply(inverse(inverse(inverse(inverse(inverse(inverse(multiply(a1,inverse(a1)))))))),inverse(inverse(inverse(multiply(a1,inverse(a1))))))) = multiply(inverse(a1),inverse(inverse(inverse(multiply(a1,inverse(a1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_54]),c_0_34]),c_0_42]) ).
cnf(c_0_57,plain,
inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(X2,inverse(X2))))))) = X1,
inference(spm,[status(thm)],[c_0_55,c_0_8]) ).
cnf(c_0_58,plain,
inverse(inverse(inverse(inverse(inverse(multiply(a1,inverse(a1))))))) = inverse(inverse(inverse(inverse(multiply(a1,inverse(a1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_56]),c_0_31]),c_0_57]) ).
cnf(c_0_59,plain,
inverse(inverse(inverse(inverse(multiply(a1,inverse(a1)))))) = inverse(inverse(inverse(multiply(a1,inverse(a1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_58]),c_0_15]) ).
cnf(c_0_60,plain,
inverse(inverse(inverse(multiply(a1,inverse(a1))))) = inverse(inverse(multiply(a1,inverse(a1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_59]),c_0_15]) ).
cnf(c_0_61,plain,
inverse(inverse(multiply(a1,inverse(a1)))) = inverse(multiply(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_60]),c_0_15]) ).
cnf(c_0_62,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_61]),c_0_52]),c_0_61]),c_0_61]),c_0_61]),c_0_61]),c_0_61]),c_0_61]),c_0_53]),c_0_37]) ).
cnf(c_0_63,plain,
inverse(multiply(a1,inverse(a1))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,plain,
multiply(X1,multiply(a1,inverse(a1))) = X1,
inference(spm,[status(thm)],[c_0_53,c_0_63]) ).
cnf(c_0_65,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_66,plain,
multiply(inverse(X1),X1) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_62]),c_0_18]) ).
cnf(c_0_67,plain,
multiply(multiply(X1,inverse(X1)),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_62]),c_0_64]),c_0_64]),c_0_62]) ).
cnf(c_0_68,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)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_66]),c_0_66])]) ).
cnf(c_0_69,plain,
inverse(multiply(X1,inverse(multiply(X2,X1)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_67]),c_0_67]),c_0_67]) ).
cnf(c_0_70,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_62]),c_0_64]) ).
cnf(c_0_71,plain,
multiply(X1,multiply(X2,inverse(X2))) = X1,
inference(spm,[status(thm)],[c_0_64,c_0_8]) ).
cnf(c_0_72,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_68,c_0_8]) ).
cnf(c_0_73,plain,
multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_69]),c_0_70]),c_0_67]),c_0_71]) ).
cnf(c_0_74,plain,
inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X2))) = X3,
inference(rw,[status(thm)],[c_0_11,c_0_67]) ).
cnf(c_0_75,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_67])]) ).
cnf(c_0_76,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_62]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP062-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 20:55:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 0.74/0.87 % Version : CSE_E---1.5
% 0.74/0.87 % Problem : theBenchmark.p
% 0.74/0.87 % Proof found
% 0.74/0.87 % SZS status Theorem for theBenchmark.p
% 0.74/0.87 % SZS output start Proof
% See solution above
% 0.74/0.88 % Total time : 0.301000 s
% 0.74/0.88 % SZS output end Proof
% 0.74/0.88 % Total time : 0.304000 s
%------------------------------------------------------------------------------