TSTP Solution File: GRP415-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP415-1 : 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 : n003.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 00:19:17 EDT 2023
% Result : Unsatisfiable 24.83s 24.91s
% Output : CNFRefutation 24.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 42 unt; 4 typ; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 22 ( 4 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 : 139 ( 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,
a1: $i ).
tff(decl_25,type,
b1: $i ).
cnf(single_axiom,axiom,
inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1)))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(c_0_2,axiom,
inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1)))))) = X3,
single_axiom ).
cnf(c_0_3,plain,
inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3))),inverse(multiply(inverse(X1),X1)))))) = multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(X3)))),inverse(multiply(inverse(X4),X4))))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
inverse(inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,X1))),inverse(multiply(inverse(a1),a1))))))) = X1,
inference(rw,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3))),inverse(multiply(inverse(X1),X1)))))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),inverse(multiply(inverse(X4),X4)))))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_6,plain,
inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3))),inverse(multiply(inverse(X1),X1))))))) = X3,
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,plain,
inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X5))),inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(X1),X1)))))) = multiply(inverse(multiply(inverse(multiply(X6,X2)),multiply(X6,inverse(X5)))),inverse(multiply(inverse(X2),X2))),
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_3]),c_0_6]) ).
cnf(c_0_8,plain,
inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),X3)),inverse(multiply(inverse(X1),X1)))))) = multiply(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(inverse(X3))))),inverse(multiply(inverse(X2),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_3]),c_0_6]) ).
cnf(c_0_9,plain,
multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(inverse(X2),X2)))))))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_8]),c_0_3]),c_0_4]) ).
cnf(c_0_10,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X4)))),inverse(multiply(inverse(inverse(multiply(X2,X3))),inverse(multiply(X2,X3)))))) = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(X4,inverse(multiply(inverse(X3),X3)))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_3]),c_0_6]) ).
cnf(c_0_11,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(X3)))),inverse(multiply(inverse(X2),X2))),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_12,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))))))))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_10]),c_0_3]),c_0_6]) ).
cnf(c_0_13,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(X3,multiply(X2,X4))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))))))))) = inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,X4))),inverse(multiply(inverse(a1),a1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_6]),c_0_3]) ).
cnf(c_0_14,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X3))),inverse(multiply(inverse(X2),X2))),
inference(spm,[status(thm)],[c_0_11,c_0_6]) ).
cnf(c_0_15,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3)))))),multiply(X1,X5))) = inverse(multiply(X4,multiply(X3,X5))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_6]) ).
cnf(c_0_16,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_14]),c_0_6]) ).
cnf(c_0_17,plain,
inverse(multiply(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)),multiply(X4,X5))) = inverse(multiply(multiply(inverse(multiply(X6,X2)),multiply(X6,X3)),multiply(X4,X5))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_15]) ).
cnf(c_0_18,plain,
inverse(multiply(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)),X4)) = inverse(multiply(multiply(inverse(multiply(X5,X2)),multiply(X5,X3)),X4)),
inference(spm,[status(thm)],[c_0_17,c_0_9]) ).
cnf(c_0_19,plain,
inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(X4))))),X1)),inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X3,X5)),X4)),inverse(multiply(inverse(X5),X5)))))))),inverse(multiply(inverse(X1),X1)))))) = multiply(inverse(X3),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_8]),c_0_8]),c_0_9]) ).
cnf(c_0_20,plain,
inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X4))),inverse(multiply(inverse(X3),X3)))),X1)),inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,X7))),inverse(multiply(inverse(X5),X5)))))))),inverse(multiply(inverse(X1),X1)))))) = multiply(inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,X4))),inverse(multiply(inverse(a1),a1)))))),multiply(X3,inverse(X7)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X4))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X4))),inverse(multiply(inverse(X3),X3))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_3]),c_0_3]) ).
cnf(c_0_21,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_18]),c_0_12]) ).
cnf(c_0_22,plain,
inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(inverse(X2),X2))))))),X4)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(inverse(X3))))),a1)),X4)),inverse(multiply(inverse(a1),a1)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_8]),c_0_8]) ).
cnf(c_0_23,plain,
inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,a1)),multiply(X2,inverse(inverse(multiply(a1,inverse(X3))))))),X1)),X3)),inverse(multiply(inverse(X1),X1)))))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_9]),c_0_6]) ).
cnf(c_0_24,plain,
multiply(inverse(multiply(X1,multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(X4,inverse(multiply(inverse(X3),X3)))))))))),multiply(X1,X5)) = multiply(X4,multiply(inverse(multiply(X2,X3)),X5)),
inference(spm,[status(thm)],[c_0_21,c_0_12]) ).
cnf(c_0_25,plain,
inverse(multiply(inverse(multiply(inverse(a1),a1)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(a1),a1))),inverse(multiply(inverse(a1),a1)))))))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_6]) ).
cnf(c_0_26,plain,
inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X5))),inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(X2),X2))))))),multiply(inverse(multiply(inverse(multiply(X6,X1)),multiply(X6,inverse(X5)))),X7))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,X7))),inverse(multiply(inverse(a1),a1)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_3]) ).
cnf(c_0_27,plain,
multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(inverse(a1),a1))))),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(multiply(X2,inverse(multiply(inverse(a1),a1)))),X3)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),X5)),inverse(multiply(inverse(X3),X3))))))))) = multiply(inverse(multiply(X4,X2)),X5),
inference(spm,[status(thm)],[c_0_21,c_0_9]) ).
cnf(c_0_29,plain,
inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,inverse(X2)))),a1)),multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(X2)))),X4))),inverse(multiply(inverse(a1),a1)))))) = inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,X4))),inverse(multiply(inverse(a1),a1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_22]),c_0_6]) ).
cnf(c_0_30,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(a1),a1)))),multiply(X1,inverse(multiply(inverse(a1),a1))))),X2) = multiply(inverse(multiply(inverse(X3),X3)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_9]),c_0_28]) ).
cnf(c_0_31,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3))),inverse(multiply(inverse(X1),X1))))) = multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),inverse(multiply(inverse(X4),X4))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_6]),c_0_3]),c_0_6]) ).
cnf(c_0_32,plain,
inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,a1))),inverse(multiply(inverse(a1),a1)))))) = inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(a1),a1)),inverse(multiply(inverse(a1),a1)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_30]) ).
cnf(c_0_33,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X2),X2))))))))) = inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(a1,a1)),multiply(a1,X3))),inverse(multiply(inverse(a1),a1)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_10]),c_0_3]) ).
cnf(c_0_34,plain,
inverse(inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(a1),a1)),inverse(multiply(inverse(a1),a1))))))) = a1,
inference(spm,[status(thm)],[c_0_6,c_0_32]) ).
cnf(c_0_35,plain,
multiply(inverse(multiply(inverse(X1),X1)),X2) = multiply(inverse(multiply(inverse(X3),X3)),X2),
inference(spm,[status(thm)],[c_0_30,c_0_30]) ).
cnf(c_0_36,plain,
multiply(inverse(multiply(a1,a1)),multiply(a1,a1)) = multiply(inverse(a1),a1),
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_33,c_0_32]),c_0_33]),c_0_3]),c_0_6]),c_0_3]),c_0_6]) ).
cnf(c_0_37,plain,
inverse(inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(a1),a1))))))) = a1,
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
multiply(inverse(multiply(X1,a1)),multiply(X1,a1)) = multiply(inverse(a1),a1),
inference(spm,[status(thm)],[c_0_21,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
prove_these_axioms_1 ).
cnf(c_0_40,plain,
multiply(inverse(X1),X1) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_37]),c_0_38]),c_0_3]),c_0_6]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_39,c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP415-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 20:14:10 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 24.83/24.91 % Version : CSE_E---1.5
% 24.83/24.91 % Problem : theBenchmark.p
% 24.83/24.91 % Proof found
% 24.83/24.91 % SZS status Theorem for theBenchmark.p
% 24.83/24.91 % SZS output start Proof
% See solution above
% 24.83/24.92 % Total time : 24.330000 s
% 24.83/24.92 % SZS output end Proof
% 24.83/24.92 % Total time : 24.333000 s
%------------------------------------------------------------------------------