TSTP Solution File: BOO012-3 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : BOO012-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n029.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 : 600s
% DateTime : Thu Jul 14 23:43:11 EDT 2022
% Result : Unsatisfiable 234.32s 30.93s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : BOO012-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.35 % Computer : n029.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 : 600
% 0.14/0.35 % DateTime : Wed Jun 1 16:35:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 234.32/30.93 % SZS status Unsatisfiable
% 234.32/30.93 % SZS output begin IncompleteProof
% 234.32/30.93 cnf(c0, axiom,
% 234.32/30.93 x != inverse(inverse(x))).
% 234.32/30.93 cnf(c1, plain,
% 234.32/30.93 x != inverse(inverse(x)),
% 234.32/30.93 inference(start, [], [c0])).
% 234.32/30.93
% 234.32/30.93 cnf(c2, axiom,
% 234.32/30.93 X0 = X1 | ~sum(X2,X3,X1) | ~sum(X2,X3,X0)).
% 234.32/30.93 cnf(a0, assumption,
% 234.32/30.93 inverse(inverse(x)) = X1).
% 234.32/30.93 cnf(c3, plain,
% 234.32/30.93 $false,
% 234.32/30.93 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 234.32/30.93 cnf(c4, plain,
% 234.32/30.93 ~sum(X2,X3,X1) | ~sum(X2,X3,X0),
% 234.32/30.93 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 234.32/30.93 cnf(c5, plain,
% 234.32/30.93 X0 != X4 | x != X4,
% 234.32/30.93 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 234.32/30.93
% 234.32/30.93 cnf(a1, assumption,
% 234.32/30.93 X0 = X4).
% 234.32/30.93 cnf(c6, plain,
% 234.32/30.93 x != X4,
% 234.32/30.93 inference(reflexivity, [assumptions([a1])], [c5])).
% 234.32/30.93
% 234.32/30.93 cnf(a2, assumption,
% 234.32/30.93 x = X4).
% 234.32/30.93 cnf(c7, plain,
% 234.32/30.93 $false,
% 234.32/30.93 inference(reflexivity, [assumptions([a2])], [c6])).
% 234.32/30.93
% 234.32/30.93 cnf(c8, axiom,
% 234.32/30.93 sum(X5,X6,X7) | ~product(X8,X9,X7) | ~sum(X10,X11,X8) | ~product(X11,X9,X6) | ~product(X10,X9,X5)).
% 234.32/30.93 cnf(a3, assumption,
% 234.32/30.93 X2 = X5).
% 234.32/30.93 cnf(a4, assumption,
% 234.32/30.93 X3 = X6).
% 234.32/30.93 cnf(a5, assumption,
% 234.32/30.93 X1 = X7).
% 234.32/30.93 cnf(c9, plain,
% 234.32/30.93 ~sum(X2,X3,X0),
% 234.32/30.93 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 234.32/30.93 cnf(c10, plain,
% 234.32/30.93 ~product(X8,X9,X7) | ~sum(X10,X11,X8) | ~product(X11,X9,X6) | ~product(X10,X9,X5),
% 234.32/30.93 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 234.32/30.93
% 234.32/30.93 cnf(c11, axiom,
% 234.32/30.93 product(multiplicative_identity,X12,X12)).
% 234.32/30.93 cnf(a6, assumption,
% 234.32/30.93 X8 = multiplicative_identity).
% 234.32/30.93 cnf(a7, assumption,
% 234.32/30.93 X9 = X12).
% 234.32/30.93 cnf(a8, assumption,
% 234.32/30.93 X7 = X12).
% 234.32/30.93 cnf(c12, plain,
% 234.32/30.93 ~sum(X10,X11,X8) | ~product(X11,X9,X6) | ~product(X10,X9,X5),
% 234.32/30.93 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])).
% 234.32/30.93 cnf(c13, plain,
% 234.32/30.93 $false,
% 234.32/30.93 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])).
% 234.32/30.93
% 234.32/30.93 cnf(c14, axiom,
% 234.32/30.93 sum(X13,inverse(X13),multiplicative_identity)).
% 234.32/30.93 cnf(a9, assumption,
% 234.32/30.93 X10 = X13).
% 234.32/30.93 cnf(a10, assumption,
% 234.32/30.93 X11 = inverse(X13)).
% 234.32/30.93 cnf(a11, assumption,
% 234.32/30.93 X8 = multiplicative_identity).
% 234.32/30.93 cnf(c15, plain,
% 234.32/30.93 ~product(X11,X9,X6) | ~product(X10,X9,X5),
% 234.32/30.93 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c12, c14])).
% 234.32/30.93 cnf(c16, plain,
% 234.32/30.93 $false,
% 234.32/30.93 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c12, c14])).
% 234.32/30.93
% 234.32/30.93 cnf(c17, axiom,
% 234.32/30.93 product(X14,inverse(X14),additive_identity)).
% 234.32/30.93 cnf(a12, assumption,
% 234.32/30.93 X11 = X14).
% 234.32/30.93 cnf(a13, assumption,
% 234.32/30.93 X9 = inverse(X14)).
% 234.32/30.93 cnf(a14, assumption,
% 234.32/30.93 X6 = additive_identity).
% 234.32/30.93 cnf(c18, plain,
% 234.32/30.93 ~product(X10,X9,X5),
% 234.32/30.93 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c17])).
% 234.32/30.93 cnf(c19, plain,
% 234.32/30.93 $false,
% 234.32/30.93 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c17])).
% 234.32/30.93
% 234.32/30.93 cnf(c20, axiom,
% 234.32/30.93 product(X15,X16,multiply(X15,X16))).
% 234.32/30.93 cnf(a15, assumption,
% 234.32/30.93 X10 = X15).
% 234.32/30.93 cnf(a16, assumption,
% 234.32/30.93 X9 = X16).
% 234.32/30.93 cnf(a17, assumption,
% 234.32/30.93 X5 = multiply(X15,X16)).
% 234.32/30.93 cnf(c21, plain,
% 234.32/30.93 $false,
% 234.32/30.93 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c18, c20])).
% 234.32/30.93 cnf(c22, plain,
% 234.32/30.93 $false,
% 234.32/30.93 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c18, c20])).
% 234.32/30.93
% 234.32/30.93 cnf(c23, axiom,
% 234.32/30.94 sum(X17,X18,X19) | ~product(X20,X21,X19) | ~sum(X22,X23,X21) | ~product(X20,X23,X18) | ~product(X20,X22,X17)).
% 234.32/30.94 cnf(a18, assumption,
% 234.32/30.94 X2 = X17).
% 234.32/30.94 cnf(a19, assumption,
% 234.32/30.94 X3 = X18).
% 234.32/30.94 cnf(a20, assumption,
% 234.32/30.94 X0 = X19).
% 234.32/30.94 cnf(c24, plain,
% 234.32/30.94 $false,
% 234.32/30.94 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c9, c23])).
% 234.32/30.94 cnf(c25, plain,
% 234.32/30.94 ~product(X20,X21,X19) | ~sum(X22,X23,X21) | ~product(X20,X23,X18) | ~product(X20,X22,X17),
% 234.32/30.94 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c9, c23])).
% 234.32/30.94
% 234.32/30.94 cnf(c26, axiom,
% 234.32/30.94 product(X24,multiplicative_identity,X24)).
% 234.32/30.94 cnf(a21, assumption,
% 234.32/30.94 X20 = X24).
% 234.32/30.94 cnf(a22, assumption,
% 234.32/30.94 X21 = multiplicative_identity).
% 234.32/30.94 cnf(a23, assumption,
% 234.32/30.94 X19 = X24).
% 234.32/30.94 cnf(c27, plain,
% 234.32/30.94 ~sum(X22,X23,X21) | ~product(X20,X23,X18) | ~product(X20,X22,X17),
% 234.32/30.94 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c25, c26])).
% 234.32/30.94 cnf(c28, plain,
% 234.32/30.94 $false,
% 234.32/30.94 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c25, c26])).
% 234.32/30.94
% 234.32/30.94 cnf(c29, axiom,
% 234.32/30.94 sum(inverse(X25),X25,multiplicative_identity)).
% 234.32/30.94 cnf(a24, assumption,
% 234.32/30.94 X22 = inverse(X25)).
% 234.32/30.94 cnf(a25, assumption,
% 234.32/30.94 X23 = X25).
% 234.32/30.94 cnf(a26, assumption,
% 234.32/30.94 X21 = multiplicative_identity).
% 234.32/30.94 cnf(c30, plain,
% 234.32/30.94 ~product(X20,X23,X18) | ~product(X20,X22,X17),
% 234.32/30.94 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c27, c29])).
% 234.32/30.94 cnf(c31, plain,
% 234.32/30.94 $false,
% 234.32/30.94 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c27, c29])).
% 234.32/30.94
% 234.32/30.94 cnf(c32, axiom,
% 234.32/30.94 product(X26,inverse(X26),additive_identity)).
% 234.32/30.94 cnf(a27, assumption,
% 234.32/30.94 X20 = X26).
% 234.32/30.94 cnf(a28, assumption,
% 234.32/30.94 X23 = inverse(X26)).
% 234.32/30.94 cnf(a29, assumption,
% 234.32/30.94 X18 = additive_identity).
% 234.32/30.94 cnf(c33, plain,
% 234.32/30.94 ~product(X20,X22,X17),
% 234.32/30.94 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c30, c32])).
% 234.32/30.94 cnf(c34, plain,
% 234.32/30.94 $false,
% 234.32/30.94 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c30, c32])).
% 234.32/30.94
% 234.32/30.94 cnf(c35, plain,
% 234.32/30.94 product(X10,X9,X5)).
% 234.32/30.94 cnf(a30, assumption,
% 234.32/30.94 X20 = X10).
% 234.32/30.94 cnf(a31, assumption,
% 234.32/30.94 X22 = X9).
% 234.32/30.94 cnf(a32, assumption,
% 234.32/30.94 X17 = X5).
% 234.32/30.94 cnf(c36, plain,
% 234.32/30.94 $false,
% 234.32/30.94 inference(predicate_reduction, [assumptions([a30, a31, a32])], [c33, c35])).
% 234.32/30.94
% 234.32/30.94 cnf(c37, plain,
% 234.32/30.94 $false,
% 234.32/30.94 inference(constraint_solving, [
% 234.32/30.94 bind(X0, x),
% 234.32/30.94 bind(X1, inverse(inverse(x))),
% 234.32/30.94 bind(X2, multiply(X15,X16)),
% 234.32/30.94 bind(X3, additive_identity),
% 234.32/30.94 bind(X4, x),
% 234.32/30.94 bind(X5, multiply(X15,X16)),
% 234.32/30.94 bind(X6, additive_identity),
% 234.32/30.94 bind(X7, inverse(inverse(x))),
% 234.32/30.94 bind(X8, multiplicative_identity),
% 234.32/30.94 bind(X9, inverse(inverse(x))),
% 234.32/30.94 bind(X10, x),
% 234.32/30.94 bind(X11, inverse(X13)),
% 234.32/30.94 bind(X12, inverse(inverse(x))),
% 234.32/30.94 bind(X13, x),
% 234.32/30.94 bind(X14, inverse(X13)),
% 234.32/30.94 bind(X15, x),
% 234.32/30.94 bind(X16, inverse(inverse(x))),
% 234.32/30.94 bind(X17, multiply(X15,X16)),
% 234.32/30.94 bind(X18, additive_identity),
% 234.32/30.94 bind(X19, x),
% 234.32/30.94 bind(X20, x),
% 234.32/30.94 bind(X21, multiplicative_identity),
% 234.32/30.94 bind(X22, inverse(X25)),
% 234.32/30.94 bind(X23, inverse(X26)),
% 234.32/30.94 bind(X24, x),
% 234.32/30.94 bind(X25, inverse(X26)),
% 234.32/30.94 bind(X26, x)
% 234.32/30.94 ],
% 234.32/30.94 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32])).
% 234.32/30.94
% 234.32/30.94 % SZS output end IncompleteProof
%------------------------------------------------------------------------------