TSTP Solution File: GRP012-3 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP012-3 : 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 : n024.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 10:08:34 EDT 2022
% Result : Unsatisfiable 0.23s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP012-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.35 % Computer : n024.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 02:02:48 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.23/0.57 % SZS status Unsatisfiable
% 0.23/0.57 % SZS output begin IncompleteProof
% 0.23/0.57 cnf(c0, axiom,
% 0.23/0.57 inverse(multiply(a,b)) != multiply(inverse(b),inverse(a))).
% 0.23/0.57 cnf(c1, plain,
% 0.23/0.57 inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)),
% 0.23/0.57 inference(start, [], [c0])).
% 0.23/0.57
% 0.23/0.57 cnf(c2, axiom,
% 0.23/0.57 X0 = X1 | ~product(X2,X3,X1) | ~product(X2,X3,X0)).
% 0.23/0.57 cnf(a0, assumption,
% 0.23/0.57 multiply(inverse(b),inverse(a)) = X0).
% 0.23/0.57 cnf(c3, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.23/0.57 cnf(c4, plain,
% 0.23/0.57 ~product(X2,X3,X1) | ~product(X2,X3,X0),
% 0.23/0.57 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.23/0.57 cnf(c5, plain,
% 0.23/0.57 X1 != X4 | inverse(multiply(a,b)) != X4,
% 0.23/0.57 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.23/0.57
% 0.23/0.57 cnf(a1, assumption,
% 0.23/0.57 X1 = X4).
% 0.23/0.57 cnf(c6, plain,
% 0.23/0.57 inverse(multiply(a,b)) != X4,
% 0.23/0.57 inference(reflexivity, [assumptions([a1])], [c5])).
% 0.23/0.57
% 0.23/0.57 cnf(a2, assumption,
% 0.23/0.57 inverse(multiply(a,b)) = X4).
% 0.23/0.57 cnf(c7, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(reflexivity, [assumptions([a2])], [c6])).
% 0.23/0.57
% 0.23/0.57 cnf(c8, axiom,
% 0.23/0.57 product(identity,X5,X5)).
% 0.23/0.57 cnf(a3, assumption,
% 0.23/0.57 X2 = identity).
% 0.23/0.57 cnf(a4, assumption,
% 0.23/0.57 X3 = X5).
% 0.23/0.57 cnf(a5, assumption,
% 0.23/0.57 X1 = X5).
% 0.23/0.57 cnf(c9, plain,
% 0.23/0.57 ~product(X2,X3,X0),
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 0.23/0.57 cnf(c10, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 0.23/0.57
% 0.23/0.57 cnf(c11, axiom,
% 0.23/0.57 product(X6,X7,X8) | ~product(X9,X10,X8) | ~product(X11,X7,X10) | ~product(X9,X11,X6)).
% 0.23/0.57 cnf(a6, assumption,
% 0.23/0.57 X2 = X6).
% 0.23/0.57 cnf(a7, assumption,
% 0.23/0.57 X3 = X7).
% 0.23/0.57 cnf(a8, assumption,
% 0.23/0.57 X0 = X8).
% 0.23/0.57 cnf(c12, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c11])).
% 0.23/0.57 cnf(c13, plain,
% 0.23/0.57 ~product(X9,X10,X8) | ~product(X11,X7,X10) | ~product(X9,X11,X6),
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c11])).
% 0.23/0.57
% 0.23/0.57 cnf(c14, axiom,
% 0.23/0.57 product(X12,X13,multiply(X12,X13))).
% 0.23/0.57 cnf(a9, assumption,
% 0.23/0.57 X9 = X12).
% 0.23/0.57 cnf(a10, assumption,
% 0.23/0.57 X10 = X13).
% 0.23/0.57 cnf(a11, assumption,
% 0.23/0.57 X8 = multiply(X12,X13)).
% 0.23/0.57 cnf(c15, plain,
% 0.23/0.57 ~product(X11,X7,X10) | ~product(X9,X11,X6),
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c13, c14])).
% 0.23/0.57 cnf(c16, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c13, c14])).
% 0.23/0.57
% 0.23/0.57 cnf(c17, axiom,
% 0.23/0.57 product(X14,X15,X16) | ~product(X17,X18,X16) | ~product(X19,X15,X18) | ~product(X17,X19,X14)).
% 0.23/0.57 cnf(a12, assumption,
% 0.23/0.57 X11 = X14).
% 0.23/0.57 cnf(a13, assumption,
% 0.23/0.57 X7 = X15).
% 0.23/0.57 cnf(a14, assumption,
% 0.23/0.57 X10 = X16).
% 0.23/0.57 cnf(c18, plain,
% 0.23/0.57 ~product(X9,X11,X6),
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c17])).
% 0.23/0.57 cnf(c19, plain,
% 0.23/0.57 ~product(X17,X18,X16) | ~product(X19,X15,X18) | ~product(X17,X19,X14),
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c17])).
% 0.23/0.57
% 0.23/0.57 cnf(c20, axiom,
% 0.23/0.57 product(X20,identity,X20)).
% 0.23/0.57 cnf(a15, assumption,
% 0.23/0.57 X17 = X20).
% 0.23/0.57 cnf(a16, assumption,
% 0.23/0.57 X18 = identity).
% 0.23/0.57 cnf(a17, assumption,
% 0.23/0.57 X16 = X20).
% 0.23/0.57 cnf(c21, plain,
% 0.23/0.57 ~product(X19,X15,X18) | ~product(X17,X19,X14),
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c19, c20])).
% 0.23/0.57 cnf(c22, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c19, c20])).
% 0.23/0.57
% 0.23/0.57 cnf(c23, axiom,
% 0.23/0.57 product(X21,inverse(X21),identity)).
% 0.23/0.57 cnf(a18, assumption,
% 0.23/0.57 X19 = X21).
% 0.23/0.57 cnf(a19, assumption,
% 0.23/0.57 X15 = inverse(X21)).
% 0.23/0.57 cnf(a20, assumption,
% 0.23/0.57 X18 = identity).
% 0.23/0.57 cnf(c24, plain,
% 0.23/0.57 ~product(X17,X19,X14),
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c21, c23])).
% 0.23/0.57 cnf(c25, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c21, c23])).
% 0.23/0.57
% 0.23/0.57 cnf(c26, axiom,
% 0.23/0.57 product(X22,X23,X24) | ~product(X25,X26,X24) | ~product(X27,X26,X23) | ~product(X22,X27,X25)).
% 0.23/0.57 cnf(a21, assumption,
% 0.23/0.57 X17 = X22).
% 0.23/0.57 cnf(a22, assumption,
% 0.23/0.57 X19 = X23).
% 0.23/0.57 cnf(a23, assumption,
% 0.23/0.57 X14 = X24).
% 0.23/0.57 cnf(c27, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c24, c26])).
% 0.23/0.57 cnf(c28, plain,
% 0.23/0.57 ~product(X25,X26,X24) | ~product(X27,X26,X23) | ~product(X22,X27,X25),
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c24, c26])).
% 0.23/0.57
% 0.23/0.57 cnf(c29, axiom,
% 0.23/0.57 product(identity,X28,X28)).
% 0.23/0.57 cnf(a24, assumption,
% 0.23/0.57 X25 = identity).
% 0.23/0.57 cnf(a25, assumption,
% 0.23/0.57 X26 = X28).
% 0.23/0.57 cnf(a26, assumption,
% 0.23/0.57 X24 = X28).
% 0.23/0.57 cnf(c30, plain,
% 0.23/0.57 ~product(X27,X26,X23) | ~product(X22,X27,X25),
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c28, c29])).
% 0.23/0.57 cnf(c31, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c28, c29])).
% 0.23/0.57
% 0.23/0.57 cnf(c32, axiom,
% 0.23/0.57 product(X29,X30,multiply(X29,X30))).
% 0.23/0.57 cnf(a27, assumption,
% 0.23/0.57 X27 = X29).
% 0.23/0.57 cnf(a28, assumption,
% 0.23/0.57 X26 = X30).
% 0.23/0.57 cnf(a29, assumption,
% 0.23/0.57 X23 = multiply(X29,X30)).
% 0.23/0.57 cnf(c33, plain,
% 0.23/0.57 ~product(X22,X27,X25),
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c30, c32])).
% 0.23/0.57 cnf(c34, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c30, c32])).
% 0.23/0.57
% 0.23/0.57 cnf(c35, axiom,
% 0.23/0.57 product(inverse(X31),X31,identity)).
% 0.23/0.57 cnf(a30, assumption,
% 0.23/0.57 X22 = inverse(X31)).
% 0.23/0.57 cnf(a31, assumption,
% 0.23/0.57 X27 = X31).
% 0.23/0.57 cnf(a32, assumption,
% 0.23/0.57 X25 = identity).
% 0.23/0.57 cnf(c36, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c33, c35])).
% 0.23/0.57 cnf(c37, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c33, c35])).
% 0.23/0.57
% 0.23/0.57 cnf(c38, axiom,
% 0.23/0.57 product(inverse(X32),X32,identity)).
% 0.23/0.57 cnf(a33, assumption,
% 0.23/0.57 X9 = inverse(X32)).
% 0.23/0.57 cnf(a34, assumption,
% 0.23/0.57 X11 = X32).
% 0.23/0.57 cnf(a35, assumption,
% 0.23/0.57 X6 = identity).
% 0.23/0.57 cnf(c39, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c18, c38])).
% 0.23/0.57 cnf(c40, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c18, c38])).
% 0.23/0.57
% 0.23/0.57 cnf(c41, plain,
% 0.23/0.57 $false,
% 0.23/0.57 inference(constraint_solving, [
% 0.23/0.57 bind(X0, multiply(inverse(b),inverse(a))),
% 0.23/0.57 bind(X1, inverse(multiply(a,b))),
% 0.23/0.57 bind(X2, identity),
% 0.23/0.57 bind(X3, inverse(multiply(a,b))),
% 0.23/0.57 bind(X4, inverse(multiply(a,b))),
% 0.23/0.57 bind(X5, inverse(multiply(a,b))),
% 0.23/0.57 bind(X6, identity),
% 0.23/0.57 bind(X7, inverse(multiply(a,b))),
% 0.23/0.57 bind(X8, multiply(inverse(b),inverse(a))),
% 0.23/0.57 bind(X9, inverse(b)),
% 0.23/0.57 bind(X10, inverse(a)),
% 0.23/0.57 bind(X11, b),
% 0.23/0.57 bind(X12, inverse(b)),
% 0.23/0.57 bind(X13, inverse(a)),
% 0.23/0.57 bind(X14, b),
% 0.23/0.57 bind(X15, inverse(multiply(a,b))),
% 0.23/0.57 bind(X16, inverse(a)),
% 0.23/0.57 bind(X17, inverse(a)),
% 0.23/0.57 bind(X18, identity),
% 0.23/0.57 bind(X19, multiply(a,b)),
% 0.23/0.57 bind(X20, inverse(a)),
% 0.23/0.57 bind(X21, multiply(a,b)),
% 0.23/0.57 bind(X22, inverse(a)),
% 0.23/0.57 bind(X23, multiply(a,b)),
% 0.23/0.57 bind(X24, b),
% 0.23/0.57 bind(X25, identity),
% 0.23/0.57 bind(X26, b),
% 0.23/0.57 bind(X27, a),
% 0.23/0.57 bind(X28, b),
% 0.23/0.57 bind(X29, a),
% 0.23/0.57 bind(X30, b),
% 0.23/0.57 bind(X31, a),
% 0.23/0.57 bind(X32, b)
% 0.23/0.57 ],
% 0.23/0.57 [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, a33, a34, a35])).
% 0.23/0.57
% 0.23/0.57 % SZS output end IncompleteProof
%------------------------------------------------------------------------------