TSTP Solution File: BOO010-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : BOO010-1 : 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 : n028.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 23:43:10 EDT 2022
% Result : Unsatisfiable 34.96s 4.97s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : BOO010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.14/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 1 19:34:22 EDT 2022
% 0.14/0.34 % CPUTime :
% 34.96/4.97 % SZS status Unsatisfiable
% 34.96/4.97 % SZS output begin IncompleteProof
% 34.96/4.97 cnf(c0, axiom,
% 34.96/4.97 ~sum(x,multiply(x,y),x)).
% 34.96/4.97 cnf(c1, plain,
% 34.96/4.97 ~sum(x,multiply(x,y),x),
% 34.96/4.97 inference(start, [], [c0])).
% 34.96/4.97
% 34.96/4.97 cnf(c2, axiom,
% 34.96/4.97 sum(X0,X1,X2) | ~product(X3,X4,X2) | ~sum(X5,X6,X4) | ~product(X3,X6,X1) | ~product(X3,X5,X0)).
% 34.96/4.97 cnf(a0, assumption,
% 34.96/4.97 x = X0).
% 34.96/4.97 cnf(a1, assumption,
% 34.96/4.97 multiply(x,y) = X1).
% 34.96/4.97 cnf(a2, assumption,
% 34.96/4.97 x = X2).
% 34.96/4.97 cnf(c3, plain,
% 34.96/4.97 $false,
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 34.96/4.97 cnf(c4, plain,
% 34.96/4.97 ~product(X3,X4,X2) | ~sum(X5,X6,X4) | ~product(X3,X6,X1) | ~product(X3,X5,X0),
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 34.96/4.97
% 34.96/4.97 cnf(c5, axiom,
% 34.96/4.97 product(X7,multiplicative_identity,X7)).
% 34.96/4.97 cnf(a3, assumption,
% 34.96/4.97 X3 = X7).
% 34.96/4.97 cnf(a4, assumption,
% 34.96/4.97 X4 = multiplicative_identity).
% 34.96/4.97 cnf(a5, assumption,
% 34.96/4.97 X2 = X7).
% 34.96/4.97 cnf(c6, plain,
% 34.96/4.97 ~sum(X5,X6,X4) | ~product(X3,X6,X1) | ~product(X3,X5,X0),
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 34.96/4.97 cnf(c7, plain,
% 34.96/4.97 $false,
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 34.96/4.97
% 34.96/4.97 cnf(c8, axiom,
% 34.96/4.97 sum(X8,X9,X10) | ~product(X11,X12,X10) | ~sum(X13,X14,X11) | ~product(X14,X12,X9) | ~product(X13,X12,X8)).
% 34.96/4.97 cnf(a6, assumption,
% 34.96/4.97 X5 = X8).
% 34.96/4.97 cnf(a7, assumption,
% 34.96/4.97 X6 = X9).
% 34.96/4.97 cnf(a8, assumption,
% 34.96/4.97 X4 = X10).
% 34.96/4.97 cnf(c9, plain,
% 34.96/4.97 ~product(X3,X6,X1) | ~product(X3,X5,X0),
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])).
% 34.96/4.97 cnf(c10, plain,
% 34.96/4.97 ~product(X11,X12,X10) | ~sum(X13,X14,X11) | ~product(X14,X12,X9) | ~product(X13,X12,X8),
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])).
% 34.96/4.97
% 34.96/4.97 cnf(c11, axiom,
% 34.96/4.97 product(X15,X16,X17) | ~sum(X18,X19,X17) | ~product(X20,X21,X18) | ~sum(X21,X19,X16) | ~sum(X20,X19,X15)).
% 34.96/4.97 cnf(a9, assumption,
% 34.96/4.97 X11 = X15).
% 34.96/4.97 cnf(a10, assumption,
% 34.96/4.97 X12 = X16).
% 34.96/4.97 cnf(a11, assumption,
% 34.96/4.97 X10 = X17).
% 34.96/4.97 cnf(c12, plain,
% 34.96/4.97 ~sum(X13,X14,X11) | ~product(X14,X12,X9) | ~product(X13,X12,X8),
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 34.96/4.97 cnf(c13, plain,
% 34.96/4.97 ~sum(X18,X19,X17) | ~product(X20,X21,X18) | ~sum(X21,X19,X16) | ~sum(X20,X19,X15),
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 34.96/4.97
% 34.96/4.97 cnf(c14, axiom,
% 34.96/4.97 sum(inverse(X22),X22,multiplicative_identity)).
% 34.96/4.97 cnf(a12, assumption,
% 34.96/4.97 X18 = inverse(X22)).
% 34.96/4.97 cnf(a13, assumption,
% 34.96/4.97 X19 = X22).
% 34.96/4.97 cnf(a14, assumption,
% 34.96/4.97 X17 = multiplicative_identity).
% 34.96/4.97 cnf(c15, plain,
% 34.96/4.97 ~product(X20,X21,X18) | ~sum(X21,X19,X16) | ~sum(X20,X19,X15),
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 34.96/4.97 cnf(c16, plain,
% 34.96/4.97 $false,
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 34.96/4.97
% 34.96/4.97 cnf(c17, axiom,
% 34.96/4.97 product(multiplicative_identity,X23,X23)).
% 34.96/4.97 cnf(a15, assumption,
% 34.96/4.97 X20 = multiplicative_identity).
% 34.96/4.97 cnf(a16, assumption,
% 34.96/4.97 X21 = X23).
% 34.96/4.97 cnf(a17, assumption,
% 34.96/4.97 X18 = X23).
% 34.96/4.97 cnf(c18, plain,
% 34.96/4.97 ~sum(X21,X19,X16) | ~sum(X20,X19,X15),
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])).
% 34.96/4.97 cnf(c19, plain,
% 34.96/4.97 $false,
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])).
% 34.96/4.97
% 34.96/4.97 cnf(c20, plain,
% 34.96/4.97 sum(X18,X19,X17)).
% 34.96/4.97 cnf(a18, assumption,
% 34.96/4.97 X21 = X18).
% 34.96/4.97 cnf(a19, assumption,
% 34.96/4.97 X19 = X19).
% 34.96/4.97 cnf(a20, assumption,
% 34.96/4.97 X16 = X17).
% 34.96/4.97 cnf(c21, plain,
% 34.96/4.97 ~sum(X20,X19,X15),
% 34.96/4.97 inference(predicate_reduction, [assumptions([a18, a19, a20])], [c18, c20])).
% 34.96/4.97
% 34.96/4.97 cnf(c22, axiom,
% 34.96/4.97 sum(X24,X25,add(X24,X25))).
% 34.96/4.97 cnf(a21, assumption,
% 34.96/4.97 X20 = X24).
% 34.96/4.97 cnf(a22, assumption,
% 34.96/4.97 X19 = X25).
% 34.96/4.97 cnf(a23, assumption,
% 34.96/4.97 X15 = add(X24,X25)).
% 34.96/4.97 cnf(c23, plain,
% 34.96/4.97 $false,
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c21, c22])).
% 34.96/4.97 cnf(c24, plain,
% 34.96/4.97 $false,
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c21, c22])).
% 34.96/4.97
% 34.96/4.97 cnf(c25, plain,
% 34.96/4.97 sum(X20,X19,X15)).
% 34.96/4.97 cnf(a24, assumption,
% 34.96/4.97 X13 = X20).
% 34.96/4.97 cnf(a25, assumption,
% 34.96/4.97 X14 = X19).
% 34.96/4.97 cnf(a26, assumption,
% 34.96/4.97 X11 = X15).
% 34.96/4.97 cnf(c26, plain,
% 34.96/4.97 ~product(X14,X12,X9) | ~product(X13,X12,X8),
% 34.96/4.97 inference(predicate_reduction, [assumptions([a24, a25, a26])], [c12, c25])).
% 34.96/4.97
% 34.96/4.97 cnf(c27, axiom,
% 34.96/4.97 product(X26,multiplicative_identity,X26)).
% 34.96/4.97 cnf(a27, assumption,
% 34.96/4.97 X14 = X26).
% 34.96/4.97 cnf(a28, assumption,
% 34.96/4.97 X12 = multiplicative_identity).
% 34.96/4.97 cnf(a29, assumption,
% 34.96/4.97 X9 = X26).
% 34.96/4.97 cnf(c28, plain,
% 34.96/4.97 ~product(X13,X12,X8),
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c26, c27])).
% 34.96/4.97 cnf(c29, plain,
% 34.96/4.97 $false,
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c26, c27])).
% 34.96/4.97
% 34.96/4.97 cnf(c30, axiom,
% 34.96/4.97 product(multiplicative_identity,X27,X27)).
% 34.96/4.97 cnf(a30, assumption,
% 34.96/4.97 X13 = multiplicative_identity).
% 34.96/4.97 cnf(a31, assumption,
% 34.96/4.97 X12 = X27).
% 34.96/4.97 cnf(a32, assumption,
% 34.96/4.97 X8 = X27).
% 34.96/4.97 cnf(c31, plain,
% 34.96/4.97 $false,
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c28, c30])).
% 34.96/4.97 cnf(c32, plain,
% 34.96/4.97 $false,
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c28, c30])).
% 34.96/4.97
% 34.96/4.97 cnf(c33, axiom,
% 34.96/4.97 product(X28,X29,multiply(X28,X29))).
% 34.96/4.97 cnf(a33, assumption,
% 34.96/4.97 X3 = X28).
% 34.96/4.97 cnf(a34, assumption,
% 34.96/4.97 X6 = X29).
% 34.96/4.97 cnf(a35, assumption,
% 34.96/4.97 X1 = multiply(X28,X29)).
% 34.96/4.97 cnf(c34, plain,
% 34.96/4.97 ~product(X3,X5,X0),
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c9, c33])).
% 34.96/4.97 cnf(c35, plain,
% 34.96/4.97 $false,
% 34.96/4.97 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c9, c33])).
% 34.96/4.97
% 34.96/4.97 cnf(c36, plain,
% 34.96/4.97 product(X3,X4,X2)).
% 34.96/4.97 cnf(a36, assumption,
% 34.96/4.97 X3 = X3).
% 34.96/4.97 cnf(a37, assumption,
% 34.96/4.97 X5 = X4).
% 34.96/4.97 cnf(a38, assumption,
% 34.96/4.97 X0 = X2).
% 34.96/4.97 cnf(c37, plain,
% 34.96/4.97 $false,
% 34.96/4.97 inference(predicate_reduction, [assumptions([a36, a37, a38])], [c34, c36])).
% 34.96/4.97
% 34.96/4.97 cnf(c38, plain,
% 34.96/4.97 $false,
% 34.96/4.97 inference(constraint_solving, [
% 34.96/4.97 bind(X0, x),
% 34.96/4.97 bind(X1, multiply(x,y)),
% 34.96/4.97 bind(X2, x),
% 34.96/4.97 bind(X3, x),
% 34.96/4.97 bind(X4, multiplicative_identity),
% 34.96/4.97 bind(X5, multiplicative_identity),
% 34.96/4.97 bind(X6, y),
% 34.96/4.97 bind(X7, x),
% 34.96/4.97 bind(X8, multiplicative_identity),
% 34.96/4.97 bind(X9, y),
% 34.96/4.97 bind(X10, multiplicative_identity),
% 34.96/4.97 bind(X11, add(X24,X25)),
% 34.96/4.97 bind(X12, multiplicative_identity),
% 34.96/4.97 bind(X13, multiplicative_identity),
% 34.96/4.97 bind(X14, y),
% 34.96/4.97 bind(X15, add(X24,X25)),
% 34.96/4.97 bind(X16, multiplicative_identity),
% 34.96/4.97 bind(X17, multiplicative_identity),
% 34.96/4.97 bind(X18, inverse(X22)),
% 34.96/4.97 bind(X19, y),
% 34.96/4.97 bind(X20, multiplicative_identity),
% 34.96/4.97 bind(X21, inverse(X22)),
% 34.96/4.97 bind(X22, y),
% 34.96/4.97 bind(X23, inverse(X22)),
% 34.96/4.97 bind(X24, multiplicative_identity),
% 34.96/4.97 bind(X25, y),
% 34.96/4.97 bind(X26, y),
% 34.96/4.97 bind(X27, multiplicative_identity),
% 34.96/4.97 bind(X28, x),
% 34.96/4.97 bind(X29, y)
% 34.96/4.97 ],
% 34.96/4.97 [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, a36, a37, a38])).
% 34.96/4.97
% 34.96/4.97 % SZS output end IncompleteProof
%------------------------------------------------------------------------------