TSTP Solution File: NUM624+3 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : NUM624+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n012.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 : Mon Jul 18 11:34:36 EDT 2022
% Result : Theorem 48.86s 6.89s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM624+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 19:18:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 48.86/6.89 % SZS status Theorem
% 48.86/6.89 % SZS output begin IncompleteProof
% 48.86/6.89 cnf(c0, axiom,
% 48.86/6.89 xp != xx).
% 48.86/6.89 cnf(c1, plain,
% 48.86/6.89 xp != xx,
% 48.86/6.89 inference(start, [], [c0])).
% 48.86/6.89
% 48.86/6.89 cnf(c2, axiom,
% 48.86/6.89 X0 = X1 | ~sdtlseqdt0(X1,X0) | ~sdtlseqdt0(X0,X1) | ~aElementOf0(X1,szNzAzT0) | ~aElementOf0(X0,szNzAzT0)).
% 48.86/6.89 cnf(a0, assumption,
% 48.86/6.89 xx = X0).
% 48.86/6.89 cnf(c3, plain,
% 48.86/6.89 $false,
% 48.86/6.89 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 48.86/6.89 cnf(c4, plain,
% 48.86/6.89 ~sdtlseqdt0(X1,X0) | ~sdtlseqdt0(X0,X1) | ~aElementOf0(X1,szNzAzT0) | ~aElementOf0(X0,szNzAzT0),
% 48.86/6.89 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 48.86/6.89 cnf(c5, plain,
% 48.86/6.89 X1 != X2 | xp != X2,
% 48.86/6.89 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 48.86/6.89
% 48.86/6.89 cnf(a1, assumption,
% 48.86/6.89 X1 = X2).
% 48.86/6.89 cnf(c6, plain,
% 48.86/6.89 xp != X2,
% 48.86/6.89 inference(reflexivity, [assumptions([a1])], [c5])).
% 48.86/6.89
% 48.86/6.89 cnf(a2, assumption,
% 48.86/6.89 xp = X2).
% 48.86/6.89 cnf(c7, plain,
% 48.86/6.89 $false,
% 48.86/6.89 inference(reflexivity, [assumptions([a2])], [c6])).
% 48.86/6.89
% 48.86/6.89 cnf(c8, axiom,
% 48.86/6.89 sdtlseqdt0(xp,X3) | ~aElementOf0(X3,xQ)).
% 48.86/6.89 cnf(a3, assumption,
% 48.86/6.89 X1 = xp).
% 48.86/6.89 cnf(a4, assumption,
% 48.86/6.89 X0 = X3).
% 48.86/6.89 cnf(c9, plain,
% 48.86/6.89 ~sdtlseqdt0(X0,X1) | ~aElementOf0(X1,szNzAzT0) | ~aElementOf0(X0,szNzAzT0),
% 48.86/6.89 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 48.86/6.89 cnf(c10, plain,
% 48.86/6.89 ~aElementOf0(X3,xQ),
% 48.86/6.89 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 48.86/6.89
% 48.86/6.89 cnf(c11, axiom,
% 48.86/6.89 aElementOf0(xx,xQ)).
% 48.86/6.89 cnf(a5, assumption,
% 48.86/6.89 X3 = xx).
% 48.86/6.89 cnf(a6, assumption,
% 48.86/6.89 xQ = xQ).
% 48.86/6.89 cnf(c12, plain,
% 48.86/6.89 $false,
% 48.86/6.89 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])).
% 48.86/6.89 cnf(c13, plain,
% 48.86/6.89 $false,
% 48.86/6.89 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])).
% 48.86/6.89
% 48.86/6.89 cnf(c14, axiom,
% 48.86/6.89 sdtlseqdt0(xx,X4) | ~aElementOf0(X4,sdtlpdtrp0(xN,xm))).
% 48.86/6.89 cnf(a7, assumption,
% 48.86/6.89 X0 = xx).
% 48.86/6.89 cnf(a8, assumption,
% 48.86/6.89 X1 = X4).
% 48.86/6.89 cnf(c15, plain,
% 48.86/6.89 ~aElementOf0(X1,szNzAzT0) | ~aElementOf0(X0,szNzAzT0),
% 48.86/6.89 inference(strict_predicate_extension, [assumptions([a7, a8])], [c9, c14])).
% 48.86/6.89 cnf(c16, plain,
% 48.86/6.89 ~aElementOf0(X4,sdtlpdtrp0(xN,xm)),
% 48.86/6.89 inference(strict_predicate_extension, [assumptions([a7, a8])], [c9, c14])).
% 48.86/6.89
% 48.86/6.89 cnf(c17, axiom,
% 48.86/6.89 aElementOf0(xp,sdtlpdtrp0(xN,xm))).
% 48.86/6.89 cnf(a9, assumption,
% 48.86/6.89 X4 = xp).
% 48.86/6.89 cnf(a10, assumption,
% 48.86/6.89 sdtlpdtrp0(xN,xm) = sdtlpdtrp0(xN,xm)).
% 48.86/6.89 cnf(c18, plain,
% 48.86/6.89 $false,
% 48.86/6.89 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])).
% 48.86/6.89 cnf(c19, plain,
% 48.86/6.89 $false,
% 48.86/6.89 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])).
% 48.86/6.89
% 48.86/6.89 cnf(c20, axiom,
% 48.86/6.89 aElementOf0(X5,szNzAzT0) | ~aElementOf0(X5,sdtlpdtrp0(xN,xm))).
% 48.86/6.89 cnf(a11, assumption,
% 48.86/6.89 X1 = X5).
% 48.86/6.89 cnf(a12, assumption,
% 48.86/6.89 szNzAzT0 = szNzAzT0).
% 48.86/6.89 cnf(c21, plain,
% 48.86/6.89 ~aElementOf0(X0,szNzAzT0),
% 48.86/6.89 inference(strict_predicate_extension, [assumptions([a11, a12])], [c15, c20])).
% 48.86/6.89 cnf(c22, plain,
% 48.86/6.89 ~aElementOf0(X5,sdtlpdtrp0(xN,xm)),
% 48.86/6.89 inference(strict_predicate_extension, [assumptions([a11, a12])], [c15, c20])).
% 48.86/6.89
% 48.86/6.89 cnf(c23, plain,
% 48.86/6.89 aElementOf0(X4,sdtlpdtrp0(xN,xm))).
% 48.86/6.89 cnf(a13, assumption,
% 48.86/6.89 X5 = X4).
% 48.86/6.89 cnf(a14, assumption,
% 48.86/6.89 sdtlpdtrp0(xN,xm) = sdtlpdtrp0(xN,xm)).
% 48.86/6.89 cnf(c24, plain,
% 48.86/6.89 $false,
% 48.86/6.89 inference(predicate_reduction, [assumptions([a13, a14])], [c22, c23])).
% 48.86/6.89
% 48.86/6.89 cnf(c25, axiom,
% 48.86/6.89 aElementOf0(xx,szNzAzT0)).
% 48.86/6.89 cnf(a15, assumption,
% 48.86/6.89 X0 = xx).
% 48.86/6.89 cnf(a16, assumption,
% 48.86/6.89 szNzAzT0 = szNzAzT0).
% 48.86/6.89 cnf(c26, plain,
% 48.86/6.89 $false,
% 48.86/6.89 inference(strict_predicate_extension, [assumptions([a15, a16])], [c21, c25])).
% 48.86/6.89 cnf(c27, plain,
% 48.86/6.89 $false,
% 48.86/6.89 inference(strict_predicate_extension, [assumptions([a15, a16])], [c21, c25])).
% 48.86/6.89
% 48.86/6.89 cnf(c28, plain,
% 48.86/6.89 $false,
% 48.86/6.89 inference(constraint_solving, [
% 48.86/6.89 bind(X0, xx),
% 48.86/6.89 bind(X1, xp),
% 48.86/6.89 bind(X2, xp),
% 48.86/6.89 bind(X3, xx),
% 48.86/6.89 bind(X4, xp),
% 48.86/6.89 bind(X5, xp)
% 48.86/6.89 ],
% 48.86/6.89 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16])).
% 48.86/6.89
% 48.86/6.89 % SZS output end IncompleteProof
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