TSTP Solution File: GRP047-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP047-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sat Jul 16 10:08:45 EDT 2022
% Result : Unsatisfiable 0.19s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP047-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 12:12:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.36 % SZS status Unsatisfiable
% 0.19/0.36 % SZS output begin IncompleteProof
% 0.19/0.36 cnf(c0, axiom,
% 0.19/0.36 ~equalish(multiply(c,a),multiply(c,b))).
% 0.19/0.36 cnf(c1, plain,
% 0.19/0.36 ~equalish(multiply(c,a),multiply(c,b)),
% 0.19/0.36 inference(start, [], [c0])).
% 0.19/0.36
% 0.19/0.36 cnf(c2, axiom,
% 0.19/0.36 equalish(X0,X1) | ~product(X2,X3,X1) | ~product(X2,X3,X0)).
% 0.19/0.36 cnf(a0, assumption,
% 0.19/0.36 multiply(c,a) = X0).
% 0.19/0.36 cnf(a1, assumption,
% 0.19/0.36 multiply(c,b) = X1).
% 0.19/0.36 cnf(c3, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.19/0.36 cnf(c4, plain,
% 0.19/0.36 ~product(X2,X3,X1) | ~product(X2,X3,X0),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.19/0.36
% 0.19/0.36 cnf(c5, axiom,
% 0.19/0.36 product(X4,X5,X6) | ~product(X7,X8,X6) | ~product(X9,X5,X8) | ~product(X7,X9,X4)).
% 0.19/0.36 cnf(a2, assumption,
% 0.19/0.36 X2 = X4).
% 0.19/0.36 cnf(a3, assumption,
% 0.19/0.36 X3 = X5).
% 0.19/0.36 cnf(a4, assumption,
% 0.19/0.36 X1 = X6).
% 0.19/0.36 cnf(c6, plain,
% 0.19/0.36 ~product(X2,X3,X0),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c4, c5])).
% 0.19/0.36 cnf(c7, plain,
% 0.19/0.36 ~product(X7,X8,X6) | ~product(X9,X5,X8) | ~product(X7,X9,X4),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c4, c5])).
% 0.19/0.36
% 0.19/0.36 cnf(c8, axiom,
% 0.19/0.36 product(X10,X11,multiply(X10,X11))).
% 0.19/0.36 cnf(a5, assumption,
% 0.19/0.36 X7 = X10).
% 0.19/0.36 cnf(a6, assumption,
% 0.19/0.36 X8 = X11).
% 0.19/0.36 cnf(a7, assumption,
% 0.19/0.36 X6 = multiply(X10,X11)).
% 0.19/0.36 cnf(c9, plain,
% 0.19/0.36 ~product(X9,X5,X8) | ~product(X7,X9,X4),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c7, c8])).
% 0.19/0.36 cnf(c10, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c7, c8])).
% 0.19/0.36
% 0.19/0.36 cnf(c11, axiom,
% 0.19/0.36 product(X12,X13,X14) | ~product(X12,X13,X15) | ~equalish(X15,X14)).
% 0.19/0.36 cnf(a8, assumption,
% 0.19/0.36 X9 = X12).
% 0.19/0.36 cnf(a9, assumption,
% 0.19/0.36 X5 = X13).
% 0.19/0.36 cnf(a10, assumption,
% 0.19/0.36 X8 = X14).
% 0.19/0.36 cnf(c12, plain,
% 0.19/0.36 ~product(X7,X9,X4),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c9, c11])).
% 0.19/0.36 cnf(c13, plain,
% 0.19/0.36 ~product(X12,X13,X15) | ~equalish(X15,X14),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c9, c11])).
% 0.19/0.36
% 0.19/0.36 cnf(c14, axiom,
% 0.19/0.36 product(identity,X16,X16)).
% 0.19/0.36 cnf(a11, assumption,
% 0.19/0.36 X12 = identity).
% 0.19/0.36 cnf(a12, assumption,
% 0.19/0.36 X13 = X16).
% 0.19/0.36 cnf(a13, assumption,
% 0.19/0.36 X15 = X16).
% 0.19/0.36 cnf(c15, plain,
% 0.19/0.36 ~equalish(X15,X14),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])).
% 0.19/0.36 cnf(c16, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])).
% 0.19/0.36
% 0.19/0.36 cnf(c17, axiom,
% 0.19/0.36 equalish(a,b)).
% 0.19/0.36 cnf(a14, assumption,
% 0.19/0.36 X15 = a).
% 0.19/0.36 cnf(a15, assumption,
% 0.19/0.36 X14 = b).
% 0.19/0.36 cnf(c18, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a14, a15])], [c15, c17])).
% 0.19/0.36 cnf(c19, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a14, a15])], [c15, c17])).
% 0.19/0.36
% 0.19/0.36 cnf(c20, axiom,
% 0.19/0.36 product(X17,X18,multiply(X17,X18))).
% 0.19/0.36 cnf(a16, assumption,
% 0.19/0.36 X7 = X17).
% 0.19/0.36 cnf(a17, assumption,
% 0.19/0.36 X9 = X18).
% 0.19/0.36 cnf(a18, assumption,
% 0.19/0.36 X4 = multiply(X17,X18)).
% 0.19/0.36 cnf(c21, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c12, c20])).
% 0.19/0.36 cnf(c22, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c12, c20])).
% 0.19/0.36
% 0.19/0.36 cnf(c23, axiom,
% 0.19/0.36 product(X19,X20,X21) | ~product(X22,X23,X21) | ~product(X24,X20,X23) | ~product(X22,X24,X19)).
% 0.19/0.36 cnf(a19, assumption,
% 0.19/0.36 X2 = X19).
% 0.19/0.36 cnf(a20, assumption,
% 0.19/0.36 X3 = X20).
% 0.19/0.36 cnf(a21, assumption,
% 0.19/0.36 X0 = X21).
% 0.19/0.36 cnf(c24, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c6, c23])).
% 0.19/0.36 cnf(c25, plain,
% 0.19/0.36 ~product(X22,X23,X21) | ~product(X24,X20,X23) | ~product(X22,X24,X19),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c6, c23])).
% 0.19/0.36
% 0.19/0.36 cnf(c26, axiom,
% 0.19/0.36 product(X25,X26,multiply(X25,X26))).
% 0.19/0.36 cnf(a22, assumption,
% 0.19/0.36 X22 = X25).
% 0.19/0.36 cnf(a23, assumption,
% 0.19/0.36 X23 = X26).
% 0.19/0.36 cnf(a24, assumption,
% 0.19/0.36 X21 = multiply(X25,X26)).
% 0.19/0.36 cnf(c27, plain,
% 0.19/0.36 ~product(X24,X20,X23) | ~product(X22,X24,X19),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c25, c26])).
% 0.19/0.36 cnf(c28, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c25, c26])).
% 0.19/0.36
% 0.19/0.36 cnf(c29, plain,
% 0.19/0.36 product(X12,X13,X15)).
% 0.19/0.36 cnf(a25, assumption,
% 0.19/0.36 X24 = X12).
% 0.19/0.36 cnf(a26, assumption,
% 0.19/0.36 X20 = X13).
% 0.19/0.36 cnf(a27, assumption,
% 0.19/0.36 X23 = X15).
% 0.19/0.36 cnf(c30, plain,
% 0.19/0.36 ~product(X22,X24,X19),
% 0.19/0.36 inference(predicate_reduction, [assumptions([a25, a26, a27])], [c27, c29])).
% 0.19/0.36
% 0.19/0.36 cnf(c31, plain,
% 0.19/0.36 product(X7,X9,X4)).
% 0.19/0.36 cnf(a28, assumption,
% 0.19/0.36 X22 = X7).
% 0.19/0.36 cnf(a29, assumption,
% 0.19/0.36 X24 = X9).
% 0.19/0.36 cnf(a30, assumption,
% 0.19/0.36 X19 = X4).
% 0.19/0.36 cnf(c32, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(predicate_reduction, [assumptions([a28, a29, a30])], [c30, c31])).
% 0.19/0.36
% 0.19/0.36 cnf(c33, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(constraint_solving, [
% 0.19/0.36 bind(X0, multiply(c,a)),
% 0.19/0.36 bind(X1, multiply(c,b)),
% 0.19/0.36 bind(X2, multiply(X17,X18)),
% 0.19/0.36 bind(X3, a),
% 0.19/0.36 bind(X4, multiply(X17,X18)),
% 0.19/0.36 bind(X5, a),
% 0.19/0.36 bind(X6, multiply(c,b)),
% 0.19/0.36 bind(X7, c),
% 0.19/0.36 bind(X8, b),
% 0.19/0.36 bind(X9, identity),
% 0.19/0.36 bind(X10, c),
% 0.19/0.36 bind(X11, b),
% 0.19/0.36 bind(X12, identity),
% 0.19/0.36 bind(X13, a),
% 0.19/0.36 bind(X14, b),
% 0.19/0.36 bind(X15, a),
% 0.19/0.36 bind(X16, a),
% 0.19/0.36 bind(X17, c),
% 0.19/0.36 bind(X18, identity),
% 0.19/0.36 bind(X19, multiply(X17,X18)),
% 0.19/0.36 bind(X20, a),
% 0.19/0.36 bind(X21, multiply(c,a)),
% 0.19/0.36 bind(X22, c),
% 0.19/0.36 bind(X23, a),
% 0.19/0.36 bind(X24, identity),
% 0.19/0.36 bind(X25, c),
% 0.19/0.36 bind(X26, a)
% 0.19/0.36 ],
% 0.19/0.36 [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])).
% 0.19/0.36
% 0.19/0.36 % SZS output end IncompleteProof
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