TSTP Solution File: GRP197-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP197-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 00:17:42 EDT 2023
% Result : Timeout 286.49s 286.42s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 23 unt; 3 typ; 0 def)
% Number of atoms : 73 ( 72 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
multiply: ( $i * $i ) > $i ).
tff(decl_23,type,
b: $i ).
tff(decl_24,type,
a: $i ).
cnf(left_cancellation,axiom,
( X2 = X3
| multiply(X1,X2) != multiply(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP008-1.ax',left_cancellation) ).
cnf(condition,hypothesis,
multiply(X1,multiply(X1,multiply(X1,multiply(X2,X2)))) = multiply(X2,multiply(X1,multiply(X1,multiply(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
cnf(associativity_of_multiply,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP008-0.ax',associativity_of_multiply) ).
cnf(prove_this,negated_conjecture,
multiply(b,multiply(b,multiply(a,multiply(a,a)))) != multiply(a,multiply(b,multiply(a,multiply(a,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_4,axiom,
( X2 = X3
| multiply(X1,X2) != multiply(X1,X3) ),
left_cancellation ).
cnf(c_0_5,hypothesis,
multiply(X1,multiply(X1,multiply(X1,multiply(X2,X2)))) = multiply(X2,multiply(X1,multiply(X1,multiply(X2,X1)))),
condition ).
cnf(c_0_6,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity_of_multiply ).
cnf(c_0_7,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,X3)))
| multiply(X2,X1) != multiply(X3,multiply(X2,multiply(X2,multiply(X3,X2)))) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,hypothesis,
multiply(X1,multiply(X1,multiply(X1,multiply(X2,multiply(X2,X3))))) = multiply(X2,multiply(X1,multiply(X1,multiply(X2,multiply(X1,X3))))),
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_6,c_0_5]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]) ).
cnf(c_0_9,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X4,multiply(X3,X4)))))
| multiply(X2,X1) != multiply(X3,multiply(X4,multiply(X2,multiply(X2,multiply(X3,multiply(X4,X2)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_6]),c_0_6]),c_0_6]) ).
cnf(c_0_10,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X2,X4))))
| multiply(X3,X1) != multiply(X2,multiply(X2,multiply(X2,multiply(X3,multiply(X3,X4))))) ),
inference(spm,[status(thm)],[c_0_4,c_0_8]) ).
cnf(c_0_11,hypothesis,
multiply(X1,multiply(X1,multiply(X1,multiply(X2,multiply(X3,multiply(X2,X3)))))) = multiply(X2,multiply(X3,multiply(X1,multiply(X1,multiply(X2,multiply(X3,X1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_5]),c_0_6]),c_0_6]) ).
cnf(c_0_12,hypothesis,
multiply(X1,multiply(X2,multiply(X2,multiply(X2,multiply(X1,X2))))) = multiply(X2,multiply(X2,multiply(X2,multiply(X1,multiply(X2,X1))))),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_13,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X2,multiply(X3,X3)))))
| multiply(X3,X1) != multiply(X3,multiply(X3,multiply(X2,multiply(X2,multiply(X3,multiply(X3,X2)))))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(X2,X3))))))
| multiply(X3,X1) != multiply(X2,multiply(X2,multiply(X3,multiply(X3,multiply(X3,multiply(X2,multiply(X3,X2))))))) ),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_15,hypothesis,
multiply(X1,multiply(X2,multiply(X2,multiply(X2,multiply(X1,multiply(X2,X3)))))) = multiply(X2,multiply(X2,multiply(X2,multiply(X1,multiply(X2,multiply(X1,X3)))))),
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_6,c_0_12]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]) ).
cnf(c_0_16,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X2,X3))))
| multiply(X2,X1) != multiply(X3,multiply(X2,multiply(X2,multiply(X2,multiply(X3,X2))))) ),
inference(spm,[status(thm)],[c_0_4,c_0_12]) ).
cnf(c_0_17,hypothesis,
multiply(X1,multiply(X2,multiply(X2,multiply(X1,multiply(X1,X2))))) = multiply(X2,multiply(X2,multiply(X1,multiply(X2,multiply(X1,X1))))),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_18,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(X2,X3))))))
| multiply(X3,X1) != multiply(X2,multiply(X3,multiply(X3,multiply(X3,multiply(X2,multiply(X3,multiply(X2,X2))))))) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X4,multiply(X2,multiply(X3,X4))))))
| multiply(X2,X1) != multiply(X3,multiply(X4,multiply(X2,multiply(X2,multiply(X2,multiply(X3,multiply(X4,X2))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_6]),c_0_6]),c_0_6]) ).
cnf(c_0_20,hypothesis,
multiply(X1,multiply(X2,multiply(X2,multiply(X1,multiply(X1,multiply(X2,X3)))))) = multiply(X2,multiply(X2,multiply(X1,multiply(X2,multiply(X1,multiply(X1,X3)))))),
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_6,c_0_17]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]) ).
cnf(c_0_21,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(X2,X3))))))
| multiply(X3,X1) != multiply(X3,multiply(X3,multiply(X3,multiply(X2,multiply(X3,multiply(X2,multiply(X2,X2))))))) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_22,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X3,multiply(X2,multiply(X3,X3))))))
| multiply(X2,X1) != multiply(X3,multiply(X3,multiply(X3,multiply(X2,multiply(X2,multiply(X3,multiply(X2,X2))))))) ),
inference(spm,[status(thm)],[c_0_19,c_0_8]) ).
cnf(c_0_23,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X3,multiply(X2,X4)))))
| multiply(X3,X1) != multiply(X2,multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(X3,X4)))))) ),
inference(spm,[status(thm)],[c_0_4,c_0_20]) ).
cnf(c_0_24,hypothesis,
multiply(X1,multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X2,X2)))))) = multiply(X2,multiply(X2,multiply(X1,multiply(X2,multiply(X1,multiply(X2,X1)))))),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_25,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X3,multiply(X2,multiply(X3,X3))))))
| multiply(X2,X1) != multiply(X2,multiply(X3,multiply(X3,multiply(X2,multiply(X3,multiply(X3,multiply(X2,X2))))))) ),
inference(spm,[status(thm)],[c_0_22,c_0_8]) ).
cnf(c_0_26,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X3,multiply(X2,X3)))))
| multiply(X3,X1) != multiply(X3,multiply(X3,multiply(X2,multiply(X3,multiply(X2,multiply(X3,X2)))))) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
( X1 = X2
| multiply(X3,multiply(X4,X1)) != multiply(X3,multiply(X4,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_6]),c_0_6]) ).
cnf(c_0_28,hypothesis,
multiply(X1,multiply(X1,multiply(X2,multiply(X1,multiply(X1,multiply(X2,X2)))))) = multiply(X2,multiply(X2,multiply(X1,multiply(X1,multiply(X2,multiply(X1,X1)))))),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_29,hypothesis,
multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,X2))))) = multiply(X2,multiply(X2,multiply(X1,multiply(X1,multiply(X2,X1))))),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( X1 = X2
| multiply(X3,multiply(X4,multiply(X5,X1))) != multiply(X3,multiply(X4,multiply(X5,X2))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_6]),c_0_6]) ).
cnf(c_0_31,hypothesis,
( X1 = multiply(X2,multiply(X3,multiply(X2,multiply(X2,multiply(X3,X3)))))
| multiply(X2,X1) != multiply(X3,multiply(X3,multiply(X2,multiply(X2,multiply(X3,multiply(X2,X2)))))) ),
inference(spm,[status(thm)],[c_0_4,c_0_28]) ).
cnf(c_0_32,hypothesis,
multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,multiply(X2,X3)))))) = multiply(X2,multiply(X2,multiply(X1,multiply(X1,multiply(X2,multiply(X1,X3)))))),
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_6,c_0_29]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]) ).
cnf(c_0_33,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,X3)))
| multiply(X4,multiply(X5,multiply(X2,X1))) != multiply(X4,multiply(X5,multiply(X3,multiply(X2,multiply(X2,multiply(X3,X2)))))) ),
inference(spm,[status(thm)],[c_0_30,c_0_5]) ).
cnf(c_0_34,hypothesis,
( X1 = multiply(X2,multiply(X3,multiply(X2,multiply(X2,multiply(X3,X3)))))
| multiply(X2,X1) != multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(X2,multiply(X3,X2)))))) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X2,multiply(X2,X3)))))
| multiply(X3,X1) != multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(X2,multiply(X3,X2)))))) ),
inference(spm,[status(thm)],[c_0_10,c_0_29]) ).
cnf(c_0_36,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,X3)))
| multiply(X2,multiply(X3,multiply(X2,X1))) != multiply(X3,multiply(X3,multiply(X2,multiply(X3,multiply(X2,multiply(X2,X2)))))) ),
inference(spm,[status(thm)],[c_0_33,c_0_20]) ).
cnf(c_0_37,hypothesis,
multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,X2))))) = multiply(X2,multiply(X1,multiply(X2,multiply(X2,multiply(X1,X1))))),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_38,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X2,multiply(X2,X3)))))
| multiply(X3,X1) != multiply(X3,multiply(X3,multiply(X2,multiply(X2,multiply(X3,multiply(X2,X2)))))) ),
inference(spm,[status(thm)],[c_0_35,c_0_32]) ).
cnf(c_0_39,hypothesis,
multiply(X1,multiply(X1,multiply(X2,X2))) = multiply(X2,multiply(X2,multiply(X1,X1))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_24]) ).
cnf(c_0_40,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X3,X4))))
| multiply(X2,X1) != multiply(X3,multiply(X2,multiply(X2,multiply(X3,multiply(X2,X4))))) ),
inference(spm,[status(thm)],[c_0_4,c_0_8]) ).
cnf(c_0_41,hypothesis,
multiply(X1,multiply(X2,multiply(X2,multiply(X1,multiply(X2,X2))))) = multiply(X2,multiply(X2,multiply(X1,multiply(X2,multiply(X2,X1))))),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_42,negated_conjecture,
multiply(b,multiply(b,multiply(a,multiply(a,a)))) != multiply(a,multiply(b,multiply(a,multiply(a,b)))),
prove_this ).
cnf(c_0_43,hypothesis,
multiply(X1,multiply(X1,multiply(X2,multiply(X2,X3)))) = multiply(X2,multiply(X2,multiply(X1,multiply(X1,X3)))),
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_6,c_0_39]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]) ).
cnf(c_0_44,hypothesis,
( X1 = multiply(X2,multiply(X2,multiply(X3,multiply(X3,X2))))
| multiply(X2,X1) != multiply(X2,multiply(X2,multiply(X3,multiply(X2,multiply(X2,X3))))) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
multiply(a,multiply(b,multiply(a,multiply(a,b)))) != multiply(a,multiply(a,multiply(b,multiply(b,a)))),
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,hypothesis,
multiply(X1,multiply(X2,multiply(X1,multiply(X1,X2)))) = multiply(X1,multiply(X1,multiply(X2,multiply(X2,X1)))),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_47,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP197-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n014.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 19:53:15 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 286.49/286.42 % Version : CSE_E---1.5
% 286.49/286.42 % Problem : theBenchmark.p
% 286.49/286.42 % Proof found
% 286.49/286.42 % SZS status Theorem for theBenchmark.p
% 286.49/286.42 % SZS output start Proof
% See solution above
% 286.49/286.42 % Total time : 285.818000 s
% 286.49/286.42 % SZS output end Proof
% 286.49/286.42 % Total time : 285.830000 s
%------------------------------------------------------------------------------