TSTP Solution File: GRP406-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP406-1 : 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 : n027.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 00:19:11 EDT 2023
% Result : Unsatisfiable 0.19s 0.71s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 22 unt; 4 typ; 0 def)
% Number of atoms : 22 ( 21 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 : 10 ( 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 : 66 ( 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,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))) = 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,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))) = X3,
single_axiom ).
cnf(c_0_3,plain,
multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X4)),X2)),multiply(inverse(X4),multiply(inverse(X4),X4)))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(X3),multiply(inverse(X2),multiply(inverse(X2),X2)))))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,inverse(multiply(inverse(X4),multiply(inverse(X5),multiply(inverse(X5),X5))))))) = multiply(inverse(multiply(inverse(multiply(X3,X5)),X2)),X4),
inference(spm,[status(thm)],[c_0_4,c_0_3]) ).
cnf(c_0_6,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(multiply(X4,X5)),X2)),multiply(inverse(multiply(X4,X5)),X3)),
inference(spm,[status(thm)],[c_0_5,c_0_2]) ).
cnf(c_0_7,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_8,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),multiply(inverse(multiply(X4,X2)),X5)) = multiply(inverse(multiply(X6,multiply(X4,X3))),multiply(X6,X5)),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_9,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X4,X2)),multiply(X4,X5))) = multiply(inverse(multiply(X6,X3)),multiply(X6,multiply(X1,X5))),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_10,plain,
multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X4))) = multiply(inverse(multiply(X5,multiply(X6,X3))),multiply(X5,multiply(X6,X4))),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(inverse(X4),multiply(inverse(X4),X4))))) = multiply(inverse(X3),multiply(inverse(X3),X3)),
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_12,plain,
multiply(inverse(multiply(X1,X2)),inverse(multiply(inverse(multiply(a1,multiply(a1,X3))),multiply(a1,multiply(a1,X3))))) = inverse(multiply(multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(inverse(X4),multiply(inverse(X4),X4)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_7]),c_0_10]) ).
cnf(c_0_13,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),multiply(inverse(X2),multiply(inverse(X2),X2)))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_2]) ).
cnf(c_0_14,plain,
multiply(inverse(multiply(a1,X1)),multiply(a1,inverse(multiply(inverse(multiply(a1,multiply(a1,a1))),multiply(a1,multiply(a1,a1)))))) = multiply(inverse(X1),multiply(inverse(X1),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_7]) ).
cnf(c_0_15,plain,
inverse(multiply(inverse(multiply(a1,multiply(a1,X1))),multiply(a1,multiply(a1,X1)))) = inverse(multiply(inverse(multiply(a1,multiply(a1,a1))),multiply(a1,multiply(a1,a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_7]),c_0_10]) ).
cnf(c_0_16,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),multiply(inverse(X4),multiply(inverse(X4),X4)))))) = multiply(inverse(multiply(X3,X2)),X5),
inference(spm,[status(thm)],[c_0_7,c_0_2]) ).
cnf(c_0_17,plain,
inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(multiply(a1,multiply(a1,a1))),multiply(a1,multiply(a1,a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_3]),c_0_16]),c_0_2]) ).
cnf(c_0_18,plain,
inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(a1),a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_17]),c_0_17]) ).
cnf(c_0_19,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
prove_these_axioms_1 ).
cnf(c_0_20,plain,
multiply(inverse(X1),X1) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_18]),c_0_4]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_19,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP406-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n027.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 : Tue Aug 29 00:27:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.71 % Version : CSE_E---1.5
% 0.19/0.71 % Problem : theBenchmark.p
% 0.19/0.71 % Proof found
% 0.19/0.71 % SZS status Theorem for theBenchmark.p
% 0.19/0.71 % SZS output start Proof
% See solution above
% 0.19/0.71 % Total time : 0.146000 s
% 0.19/0.71 % SZS output end Proof
% 0.19/0.71 % Total time : 0.148000 s
%------------------------------------------------------------------------------