TSTP Solution File: GRP506-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP506-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 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 : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:21:01 EDT 2023
% Result : Unsatisfiable 280.73s 281.88s
% Output : CNFRefutation 280.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 6
% Syntax : Number of formulae : 118 ( 114 unt; 4 typ; 0 def)
% Number of atoms : 114 ( 113 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 19 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 398 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
multiply: ( $i * $i ) > $i ).
tff(decl_23,type,
inverse: $i > $i ).
tff(decl_24,type,
b2: $i ).
tff(decl_25,type,
a2: $i ).
cnf(single_axiom,axiom,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(X6)),inverse(X4))))))),X6) = X5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_0_2,axiom,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(X6)),inverse(X4))))))),X6) = X5,
single_axiom ).
cnf(c_0_3,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6) = inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X10))))))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6),inverse(X6)) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6),X7),inverse(X7)) = multiply(X5,inverse(inverse(X6))),
inference(spm,[status(thm)],[c_0_4,c_0_3]) ).
cnf(c_0_6,plain,
multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,inverse(X3)),inverse(inverse(X3))),
inference(spm,[status(thm)],[c_0_5,c_0_2]) ).
cnf(c_0_7,plain,
multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,X3),inverse(X3)),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_8,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(multiply(X5,X6),inverse(X6))))))),X4) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_9,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(multiply(X7,inverse(inverse(multiply(multiply(X8,inverse(X9)),inverse(X10))))),inverse(X6))))))),X10)),X7))),X9) = X8,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_10,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(multiply(X3,multiply(multiply(X4,X5),inverse(X5))),inverse(X6))),multiply(multiply(X3,X7),inverse(X7))))),X6) = X4,
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,plain,
multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(X3))) = multiply(multiply(multiply(X1,X3),X4),inverse(X4)),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_12,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6) = inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(multiply(X9,inverse(b2))))))),multiply(multiply(X5,inverse(inverse(X6))),inverse(X10))),X10)),X9))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_9]),c_0_3]) ).
cnf(c_0_13,plain,
multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,X6),inverse(X6))))))),X7),inverse(X7)) = multiply(X5,X4),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_14,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),multiply(multiply(X4,X5),inverse(X5))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_4]),c_0_4]) ).
cnf(c_0_15,plain,
multiply(multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(X3))),inverse(inverse(X4))) = multiply(multiply(multiply(multiply(X1,X3),X4),X5),inverse(X5)),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_16,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(multiply(X3,inverse(b2))))))),multiply(X4,inverse(X5))),X5)),X3))),X6) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(multiply(X4,inverse(b2))))))),X6),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_9]),c_0_3]),c_0_3]),c_0_12]) ).
cnf(c_0_17,plain,
multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(multiply(X1,inverse(b2))))))),X2),X3),X4),inverse(X4)) = multiply(multiply(X1,inverse(inverse(X2))),inverse(inverse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_4]),c_0_16]) ).
cnf(c_0_19,plain,
multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),inverse(inverse(X3))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_17]),c_0_4]) ).
cnf(c_0_20,plain,
multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(inverse(inverse(X1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_4]) ).
cnf(c_0_21,plain,
multiply(X1,inverse(inverse(inverse(X1)))) = multiply(X2,inverse(inverse(inverse(X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_19]),c_0_4]) ).
cnf(c_0_22,plain,
multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(X3))) = multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(multiply(X1,X3)))))),
inference(rw,[status(thm)],[c_0_11,c_0_20]) ).
cnf(c_0_23,plain,
multiply(X1,inverse(inverse(inverse(X1)))) = inverse(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3))))),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_24,plain,
multiply(multiply(X1,inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),inverse(inverse(inverse(inverse(X1))))))),inverse(inverse(X3))) = X3,
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_25,plain,
multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),inverse(multiply(X3,inverse(inverse(inverse(X3)))))) = multiply(X4,inverse(multiply(multiply(X4,X5),inverse(X5)))),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_26,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(multiply(X4,X5))))))) = multiply(X4,X5),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_7]),c_0_22]) ).
cnf(c_0_27,plain,
inverse(multiply(X1,inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),inverse(inverse(inverse(inverse(X1)))))))) = multiply(b2,inverse(inverse(inverse(b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_23]) ).
cnf(c_0_28,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),multiply(b2,inverse(inverse(inverse(b2))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_25]),c_0_27]) ).
cnf(c_0_29,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),multiply(X4,inverse(inverse(inverse(X4))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(spm,[status(thm)],[c_0_28,c_0_21]) ).
cnf(c_0_30,plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),multiply(multiply(X4,X5),inverse(X5))) = X4,
inference(spm,[status(thm)],[c_0_14,c_0_14]) ).
cnf(c_0_31,plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),multiply(b2,inverse(inverse(inverse(b2))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(spm,[status(thm)],[c_0_28,c_0_14]) ).
cnf(c_0_32,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(multiply(multiply(X5,X4),X6),inverse(X6))))))) = X5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_11]),c_0_2]) ).
cnf(c_0_33,plain,
multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))))),multiply(inverse(X3),X3))),multiply(X4,inverse(inverse(inverse(X4))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(X1))),X1)),multiply(X2,inverse(inverse(inverse(X2)))))),multiply(inverse(X3),X3))),multiply(multiply(X4,X5),inverse(X5))) = X4,
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_35,plain,
multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))))),multiply(inverse(X3),X3))),multiply(b2,inverse(inverse(inverse(b2))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(spm,[status(thm)],[c_0_31,c_0_14]) ).
cnf(c_0_36,plain,
inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(multiply(X3,X2))))))))))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_23]),c_0_20]) ).
cnf(c_0_37,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X2))))))))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_25]),c_0_22]) ).
cnf(c_0_38,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(multiply(X1,inverse(b2))))))),inverse(X1)) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_16]),c_0_25]),c_0_4]),c_0_16]) ).
cnf(c_0_39,plain,
multiply(inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(X1),X1))),multiply(multiply(X2,X3),inverse(X3))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_23]) ).
cnf(c_0_40,plain,
inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(inverse(inverse(X2)))))),multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2))))))) = X2,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(multiply(X2,inverse(b2)))))))))))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_38]),c_0_19]) ).
cnf(c_0_42,plain,
multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),multiply(multiply(X3,X4),inverse(X4))) = X3,
inference(spm,[status(thm)],[c_0_39,c_0_21]) ).
cnf(c_0_43,plain,
inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(multiply(X1,inverse(b2))))))) = inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(X1),multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2))))))),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(X7,inverse(X6))))))),X8)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(multiply(X7,inverse(b2))))))),inverse(multiply(multiply(X9,inverse(X10)),inverse(X8))))))),X10) = X9,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_2]),c_0_3]) ).
cnf(c_0_45,plain,
multiply(multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),multiply(b2,inverse(inverse(inverse(b2))))),inverse(inverse(X3))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_42]),c_0_23]) ).
cnf(c_0_46,plain,
multiply(inverse(multiply(inverse(multiply(b2,inverse(inverse(inverse(b2))))),multiply(inverse(X1),X1))),multiply(multiply(X2,X3),inverse(X3))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_33]),c_0_23]) ).
cnf(c_0_47,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6) = inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(X9),multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2))))))),X10)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X12)),multiply(X12,X11))),multiply(inverse(multiply(X13,X14)),multiply(X13,inverse(multiply(X9,inverse(X14))))))),inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X10))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_3]),c_0_43]) ).
cnf(c_0_48,plain,
multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4)))))))))))) = X5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_3]),c_0_20]) ).
cnf(c_0_49,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(X3),multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2))))))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X6,X5))),multiply(inverse(multiply(X7,X8)),multiply(X7,inverse(multiply(X3,inverse(X8))))))),inverse(multiply(X9,inverse(X4))))))),X10) = multiply(inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(X9),multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2))))))),X10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_3]),c_0_43]),c_0_3]),c_0_43]) ).
cnf(c_0_50,plain,
multiply(multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),multiply(X3,inverse(inverse(inverse(X3))))),inverse(inverse(X4))) = X4,
inference(spm,[status(thm)],[c_0_45,c_0_21]) ).
cnf(c_0_51,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2))),multiply(multiply(X3,X4),inverse(X4))) = X3,
inference(spm,[status(thm)],[c_0_46,c_0_21]) ).
cnf(c_0_52,plain,
multiply(inverse(multiply(inverse(inverse(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))))),multiply(inverse(X3),X3))),multiply(b2,inverse(inverse(inverse(b2))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(spm,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_53,plain,
multiply(inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2))))))),inverse(inverse(X2))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_47]),c_0_20]),c_0_48]),c_0_49]) ).
cnf(c_0_54,plain,
multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),multiply(X3,inverse(inverse(inverse(X3))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_50]),c_0_29]) ).
cnf(c_0_55,plain,
multiply(inverse(multiply(inverse(inverse(multiply(X1,inverse(inverse(inverse(X1)))))),multiply(inverse(X2),X2))),multiply(multiply(X3,X4),inverse(X4))) = X3,
inference(spm,[status(thm)],[c_0_14,c_0_51]) ).
cnf(c_0_56,plain,
multiply(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X1,inverse(inverse(inverse(X1))))))))),multiply(inverse(X2),X2))),multiply(b2,inverse(inverse(inverse(b2))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(spm,[status(thm)],[c_0_52,c_0_51]) ).
cnf(c_0_57,plain,
inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2))))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_53]),c_0_54]) ).
cnf(c_0_58,plain,
multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3)))))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_42]),c_0_19]) ).
cnf(c_0_59,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(X1,X2),inverse(X2))),multiply(inverse(X3),multiply(X1,X3)))),multiply(inverse(X4),X4))),multiply(multiply(X5,X6),inverse(X6))) = X5,
inference(spm,[status(thm)],[c_0_14,c_0_7]) ).
cnf(c_0_60,plain,
multiply(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X1,inverse(inverse(inverse(X1))))))))),multiply(inverse(X2),X2))),multiply(X3,inverse(inverse(inverse(X3))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(spm,[status(thm)],[c_0_33,c_0_55]) ).
cnf(c_0_61,plain,
multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X1,inverse(inverse(inverse(X1))))))))),multiply(inverse(X2),X2)))))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_56]),c_0_25]),c_0_20]) ).
cnf(c_0_62,plain,
inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(multiply(X2,inverse(inverse(inverse(X2))))),multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2))))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(spm,[status(thm)],[c_0_57,c_0_21]) ).
cnf(c_0_63,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(inverse(inverse(multiply(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(X3),X3))),X4)))))) = X4,
inference(spm,[status(thm)],[c_0_58,c_0_21]) ).
cnf(c_0_64,plain,
multiply(inverse(multiply(multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),multiply(inverse(X1),X1))),multiply(multiply(X2,X3),inverse(X3))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_20]),c_0_61]),c_0_23]),c_0_62]) ).
cnf(c_0_65,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2))),X3) = multiply(inverse(multiply(multiply(X4,inverse(inverse(inverse(X4)))),multiply(inverse(X5),X5))),X3),
inference(spm,[status(thm)],[c_0_51,c_0_63]) ).
cnf(c_0_66,plain,
multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(inverse(inverse(X4)))))) = X4,
inference(spm,[status(thm)],[c_0_42,c_0_21]) ).
cnf(c_0_67,plain,
multiply(inverse(multiply(multiply(b2,inverse(multiply(multiply(b2,X1),inverse(X1)))),multiply(inverse(X2),X2))),multiply(multiply(X3,X4),inverse(X4))) = X3,
inference(spm,[status(thm)],[c_0_64,c_0_7]) ).
cnf(c_0_68,plain,
multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2))),X3)))))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_51]),c_0_19]) ).
cnf(c_0_69,plain,
inverse(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2))) = inverse(multiply(multiply(X3,inverse(inverse(inverse(X3)))),multiply(inverse(X4),X4))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_65]),c_0_2]) ).
cnf(c_0_70,plain,
multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(multiply(X1,inverse(b2)))))) = multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(X1),multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_43]),c_0_66]) ).
cnf(c_0_71,plain,
multiply(inverse(multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),multiply(inverse(X3),X3))),multiply(multiply(X4,X5),inverse(X5))) = X4,
inference(spm,[status(thm)],[c_0_67,c_0_17]) ).
cnf(c_0_72,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(inverse(inverse(X2))))),multiply(inverse(X3),X3))),X4)))))) = X4,
inference(spm,[status(thm)],[c_0_68,c_0_21]) ).
cnf(c_0_73,plain,
multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2)) = multiply(multiply(X3,inverse(inverse(inverse(X3)))),multiply(inverse(X4),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_69]),c_0_19]) ).
cnf(c_0_74,plain,
multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(X1),multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))))))))))) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_70]) ).
cnf(c_0_75,plain,
multiply(inverse(multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),multiply(inverse(X3),X3))),X4) = multiply(inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2))),X4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_76,plain,
multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),multiply(inverse(X3),X3)) = multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_74]) ).
cnf(c_0_77,plain,
multiply(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2)),inverse(multiply(inverse(X1),X1))) = multiply(b2,inverse(inverse(inverse(b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_76]),c_0_20]),c_0_23]),c_0_21]) ).
cnf(c_0_78,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),multiply(multiply(X4,inverse(inverse(inverse(X4)))),inverse(inverse(inverse(inverse(X5)))))) = X5,
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_79,plain,
multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))) = multiply(b2,inverse(inverse(inverse(b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_77]),c_0_54]) ).
cnf(c_0_80,plain,
multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),multiply(b2,inverse(inverse(inverse(b2))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_42]),c_0_25]),c_0_23]) ).
cnf(c_0_81,plain,
multiply(inverse(multiply(inverse(inverse(inverse(multiply(X1,inverse(inverse(inverse(X1))))))),multiply(inverse(X2),X2))),multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(inverse(inverse(X4)))))) = X4,
inference(spm,[status(thm)],[c_0_78,c_0_55]) ).
cnf(c_0_82,plain,
multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(X1))) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_79]) ).
cnf(c_0_83,plain,
multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3) = multiply(inverse(multiply(multiply(X4,inverse(inverse(inverse(X4)))),multiply(inverse(X5),X5))),X3),
inference(spm,[status(thm)],[c_0_42,c_0_63]) ).
cnf(c_0_84,plain,
multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)))))))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_80]),c_0_25]),c_0_20]) ).
cnf(c_0_85,plain,
multiply(inverse(multiply(inverse(inverse(inverse(multiply(X1,inverse(inverse(inverse(X1))))))),multiply(inverse(X2),X2))),X3) = multiply(inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2))),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_72]),c_0_73]) ).
cnf(c_0_86,plain,
multiply(multiply(X1,X2),inverse(X2)) = inverse(inverse(X1)),
inference(spm,[status(thm)],[c_0_20,c_0_82]) ).
cnf(c_0_87,plain,
inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))) = inverse(multiply(multiply(X3,inverse(inverse(inverse(X3)))),multiply(inverse(X4),X4))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_83]),c_0_2]) ).
cnf(c_0_88,plain,
inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)))))) = multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(multiply(b2,inverse(inverse(inverse(b2))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_84]),c_0_20]),c_0_19]) ).
cnf(c_0_89,plain,
multiply(inverse(inverse(inverse(multiply(X1,inverse(inverse(inverse(X1))))))),multiply(inverse(X2),X2)) = multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_85]),c_0_74]) ).
cnf(c_0_90,plain,
inverse(inverse(multiply(X1,X2))) = multiply(inverse(inverse(X1)),inverse(inverse(X2))),
inference(spm,[status(thm)],[c_0_86,c_0_86]) ).
cnf(c_0_91,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(multiply(X3,inverse(inverse(inverse(X3)))),multiply(inverse(X4),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_87]),c_0_19]) ).
cnf(c_0_92,plain,
inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2))) = multiply(b2,inverse(inverse(inverse(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_85]),c_0_20]),c_0_88]),c_0_82]),c_0_21]),c_0_89]),c_0_90]),c_0_90]),c_0_21]),c_0_90]),c_0_91]) ).
cnf(c_0_93,plain,
multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2)) = multiply(b2,inverse(inverse(inverse(b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_92]),c_0_25]),c_0_79]) ).
cnf(c_0_94,plain,
multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(multiply(inverse(X1),X1))) = multiply(b2,inverse(inverse(inverse(b2)))),
inference(rw,[status(thm)],[c_0_77,c_0_93]) ).
cnf(c_0_95,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,inverse(X4))),multiply(X5,inverse(multiply(multiply(X5,X6),inverse(X6))))))),X4) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_14]),c_0_14]) ).
cnf(c_0_96,plain,
multiply(inverse(X1),X1) = multiply(b2,inverse(inverse(inverse(b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_94]),c_0_82]),c_0_90]),c_0_21]) ).
cnf(c_0_97,plain,
inverse(multiply(X1,inverse(inverse(inverse(X1))))) = multiply(b2,inverse(inverse(inverse(b2)))),
inference(spm,[status(thm)],[c_0_27,c_0_82]) ).
cnf(c_0_98,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(multiply(X5,X6),inverse(X6)),inverse(X4))))))) = X5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_2]) ).
cnf(c_0_99,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
prove_these_axioms_2 ).
cnf(c_0_100,plain,
multiply(multiply(b2,inverse(inverse(inverse(b2)))),X1) = inverse(inverse(inverse(inverse(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_86]) ).
cnf(c_0_101,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(X2))) = X2,
inference(spm,[status(thm)],[c_0_24,c_0_82]) ).
cnf(c_0_102,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(multiply(X3,X4),inverse(X4))),multiply(X5,inverse(multiply(multiply(X5,X6),inverse(X6))))))) = X3,
inference(spm,[status(thm)],[c_0_98,c_0_17]) ).
cnf(c_0_103,negated_conjecture,
multiply(multiply(b2,inverse(inverse(inverse(b2)))),a2) != a2,
inference(rw,[status(thm)],[c_0_99,c_0_96]) ).
cnf(c_0_104,plain,
inverse(inverse(inverse(inverse(inverse(inverse(X1)))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_100]),c_0_90]),c_0_21]),c_0_101]) ).
cnf(c_0_105,plain,
inverse(multiply(inverse(inverse(multiply(X1,inverse(inverse(inverse(X1)))))),multiply(inverse(multiply(multiply(X2,X3),inverse(X3))),multiply(X4,inverse(multiply(multiply(X4,X5),inverse(X5))))))) = X2,
inference(spm,[status(thm)],[c_0_102,c_0_51]) ).
cnf(c_0_106,negated_conjecture,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),a2) != a2,
inference(spm,[status(thm)],[c_0_103,c_0_21]) ).
cnf(c_0_107,plain,
inverse(inverse(inverse(inverse(inverse(X1))))) = inverse(inverse(inverse(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_96]),c_0_100]) ).
cnf(c_0_108,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2) = inverse(inverse(inverse(inverse(X2)))),
inference(spm,[status(thm)],[c_0_100,c_0_21]) ).
cnf(c_0_109,plain,
multiply(inverse(inverse(inverse(X1))),X1) = multiply(b2,inverse(inverse(inverse(b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_104]),c_0_23]) ).
cnf(c_0_110,plain,
inverse(multiply(inverse(X1),multiply(b2,inverse(inverse(inverse(b2)))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_104]),c_0_90]),c_0_21]),c_0_86]),c_0_100]),c_0_90]),c_0_90]),c_0_90]),c_0_90]),c_0_104]),c_0_86]),c_0_90]),c_0_104]),c_0_97]),c_0_97]) ).
cnf(c_0_111,negated_conjecture,
inverse(inverse(inverse(inverse(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_100]),c_0_90]),c_0_21]),c_0_97]),c_0_97]),c_0_97]),c_0_97]),c_0_97]),c_0_100]) ).
cnf(c_0_112,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_107]),c_0_90]),c_0_21]),c_0_86]),c_0_108]),c_0_90]),c_0_107]),c_0_90]),c_0_90]),c_0_90]),c_0_104]),c_0_107]),c_0_90]),c_0_107]),c_0_90]),c_0_90]),c_0_90]),c_0_107]),c_0_86]),c_0_104]),c_0_109]),c_0_110]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112]),c_0_112])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP506-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:58:43 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.64/0.66 start to proof: theBenchmark
% 280.73/281.88 % Version : CSE_E---1.5
% 280.73/281.88 % Problem : theBenchmark.p
% 280.73/281.88 % Proof found
% 280.73/281.88 % SZS status Theorem for theBenchmark.p
% 280.73/281.88 % SZS output start Proof
% See solution above
% 280.86/281.89 % Total time : 280.012000 s
% 280.86/281.89 % SZS output end Proof
% 280.86/281.89 % Total time : 280.025000 s
%------------------------------------------------------------------------------