TSTP Solution File: SYO691-1.000 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0.
% 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 : Thu Jul 21 17:25:01 EDT 2022
% Result : Unsatisfiable 0.21s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n024.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 : Fri Jul 8 18:58:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.35 % SZS status Unsatisfiable
% 0.21/0.35 % SZS output begin IncompleteProof
% 0.21/0.35 cnf(c0, axiom,
% 0.21/0.35 ~seq(succ(succ(succ(zero))),X0,X0)).
% 0.21/0.35 cnf(c1, plain,
% 0.21/0.35 ~seq(succ(succ(succ(zero))),X0,X0),
% 0.21/0.35 inference(start, [], [c0])).
% 0.21/0.35
% 0.21/0.35 cnf(c2, axiom,
% 0.21/0.35 seq(succ(X1),X2,X3) | ~step(X4,X3) | ~seq(X1,X2,X4)).
% 0.21/0.35 cnf(a0, assumption,
% 0.21/0.35 succ(succ(succ(zero))) = succ(X1)).
% 0.21/0.35 cnf(a1, assumption,
% 0.21/0.35 X0 = X2).
% 0.21/0.35 cnf(a2, assumption,
% 0.21/0.35 X0 = X3).
% 0.21/0.35 cnf(c3, plain,
% 0.21/0.35 $false,
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.21/0.35 cnf(c4, plain,
% 0.21/0.35 ~step(X4,X3) | ~seq(X1,X2,X4),
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.21/0.35
% 0.21/0.35 cnf(c5, axiom,
% 0.21/0.35 step(f(X5,X6),f(X5,X7)) | ~step(X6,X7)).
% 0.21/0.35 cnf(a3, assumption,
% 0.21/0.35 X4 = f(X5,X6)).
% 0.21/0.35 cnf(a4, assumption,
% 0.21/0.35 X3 = f(X5,X7)).
% 0.21/0.35 cnf(c6, plain,
% 0.21/0.35 ~seq(X1,X2,X4),
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])).
% 0.21/0.35 cnf(c7, plain,
% 0.21/0.35 ~step(X6,X7),
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])).
% 0.21/0.35
% 0.21/0.35 cnf(c8, axiom,
% 0.21/0.35 step(X8,X9) | ~top(X8,X9)).
% 0.21/0.35 cnf(a5, assumption,
% 0.21/0.35 X6 = X8).
% 0.21/0.35 cnf(a6, assumption,
% 0.21/0.35 X7 = X9).
% 0.21/0.35 cnf(c9, plain,
% 0.21/0.35 $false,
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c8])).
% 0.21/0.35 cnf(c10, plain,
% 0.21/0.35 ~top(X8,X9),
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c8])).
% 0.21/0.35
% 0.21/0.35 cnf(c11, axiom,
% 0.21/0.35 top(f(f(X10,X11),f(X12,a)),f(f(X12,f(X11,a)),X10))).
% 0.21/0.35 cnf(a7, assumption,
% 0.21/0.35 X8 = f(f(X10,X11),f(X12,a))).
% 0.21/0.35 cnf(a8, assumption,
% 0.21/0.35 X9 = f(f(X12,f(X11,a)),X10)).
% 0.21/0.35 cnf(c12, plain,
% 0.21/0.35 $false,
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c11])).
% 0.21/0.35 cnf(c13, plain,
% 0.21/0.35 $false,
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c11])).
% 0.21/0.35
% 0.21/0.35 cnf(c14, axiom,
% 0.21/0.35 seq(succ(X13),X14,X15) | ~step(X16,X15) | ~seq(X13,X14,X16)).
% 0.21/0.35 cnf(a9, assumption,
% 0.21/0.35 X1 = succ(X13)).
% 0.21/0.35 cnf(a10, assumption,
% 0.21/0.35 X2 = X14).
% 0.21/0.35 cnf(a11, assumption,
% 0.21/0.35 X4 = X15).
% 0.21/0.35 cnf(c15, plain,
% 0.21/0.35 $false,
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c14])).
% 0.21/0.35 cnf(c16, plain,
% 0.21/0.35 ~step(X16,X15) | ~seq(X13,X14,X16),
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c14])).
% 0.21/0.35
% 0.21/0.35 cnf(c17, axiom,
% 0.21/0.35 step(f(X17,X18),f(X19,X18)) | ~step(X17,X19)).
% 0.21/0.35 cnf(a12, assumption,
% 0.21/0.35 X16 = f(X17,X18)).
% 0.21/0.35 cnf(a13, assumption,
% 0.21/0.35 X15 = f(X19,X18)).
% 0.21/0.35 cnf(c18, plain,
% 0.21/0.35 ~seq(X13,X14,X16),
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a12, a13])], [c16, c17])).
% 0.21/0.35 cnf(c19, plain,
% 0.21/0.35 ~step(X17,X19),
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a12, a13])], [c16, c17])).
% 0.21/0.35
% 0.21/0.35 cnf(c20, axiom,
% 0.21/0.35 step(X20,X21) | ~top(X20,X21)).
% 0.21/0.35 cnf(a14, assumption,
% 0.21/0.35 X17 = X20).
% 0.21/0.35 cnf(a15, assumption,
% 0.21/0.35 X19 = X21).
% 0.21/0.35 cnf(c21, plain,
% 0.21/0.35 $false,
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a14, a15])], [c19, c20])).
% 0.21/0.35 cnf(c22, plain,
% 0.21/0.35 ~top(X20,X21),
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a14, a15])], [c19, c20])).
% 0.21/0.35
% 0.21/0.35 cnf(c23, axiom,
% 0.21/0.35 top(f(f(X22,X23),f(X24,a)),f(f(X24,f(X23,a)),X22))).
% 0.21/0.35 cnf(a16, assumption,
% 0.21/0.35 X20 = f(f(X22,X23),f(X24,a))).
% 0.21/0.35 cnf(a17, assumption,
% 0.21/0.35 X21 = f(f(X24,f(X23,a)),X22)).
% 0.21/0.35 cnf(c24, plain,
% 0.21/0.35 $false,
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a16, a17])], [c22, c23])).
% 0.21/0.35 cnf(c25, plain,
% 0.21/0.35 $false,
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a16, a17])], [c22, c23])).
% 0.21/0.35
% 0.21/0.35 cnf(c26, axiom,
% 0.21/0.35 seq(succ(X25),X26,X27) | ~step(X28,X27) | ~seq(X25,X26,X28)).
% 0.21/0.35 cnf(a18, assumption,
% 0.21/0.35 X13 = succ(X25)).
% 0.21/0.35 cnf(a19, assumption,
% 0.21/0.35 X14 = X26).
% 0.21/0.35 cnf(a20, assumption,
% 0.21/0.35 X16 = X27).
% 0.21/0.35 cnf(c27, plain,
% 0.21/0.35 $false,
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c26])).
% 0.21/0.35 cnf(c28, plain,
% 0.21/0.35 ~step(X28,X27) | ~seq(X25,X26,X28),
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c26])).
% 0.21/0.35
% 0.21/0.35 cnf(c29, axiom,
% 0.21/0.35 step(X29,X30) | ~top(X29,X30)).
% 0.21/0.35 cnf(a21, assumption,
% 0.21/0.35 X28 = X29).
% 0.21/0.35 cnf(a22, assumption,
% 0.21/0.35 X27 = X30).
% 0.21/0.35 cnf(c30, plain,
% 0.21/0.35 ~seq(X25,X26,X28),
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a21, a22])], [c28, c29])).
% 0.21/0.35 cnf(c31, plain,
% 0.21/0.35 ~top(X29,X30),
% 0.21/0.35 inference(strict_predicate_extension, [assumptions([a21, a22])], [c28, c29])).
% 0.21/0.36
% 0.21/0.36 cnf(c32, axiom,
% 0.21/0.36 top(f(f(X31,X32),f(X33,a)),f(f(X33,f(X32,a)),X31))).
% 0.21/0.36 cnf(a23, assumption,
% 0.21/0.36 X29 = f(f(X31,X32),f(X33,a))).
% 0.21/0.36 cnf(a24, assumption,
% 0.21/0.36 X30 = f(f(X33,f(X32,a)),X31)).
% 0.21/0.36 cnf(c33, plain,
% 0.21/0.36 $false,
% 0.21/0.36 inference(strict_predicate_extension, [assumptions([a23, a24])], [c31, c32])).
% 0.21/0.36 cnf(c34, plain,
% 0.21/0.36 $false,
% 0.21/0.36 inference(strict_predicate_extension, [assumptions([a23, a24])], [c31, c32])).
% 0.21/0.36
% 0.21/0.36 cnf(c35, axiom,
% 0.21/0.36 seq(zero,X34,X34)).
% 0.21/0.36 cnf(a25, assumption,
% 0.21/0.36 X25 = zero).
% 0.21/0.36 cnf(a26, assumption,
% 0.21/0.36 X26 = X34).
% 0.21/0.36 cnf(a27, assumption,
% 0.21/0.36 X28 = X34).
% 0.21/0.36 cnf(c36, plain,
% 0.21/0.36 $false,
% 0.21/0.36 inference(strict_predicate_extension, [assumptions([a25, a26, a27])], [c30, c35])).
% 0.21/0.36 cnf(c37, plain,
% 0.21/0.36 $false,
% 0.21/0.36 inference(strict_predicate_extension, [assumptions([a25, a26, a27])], [c30, c35])).
% 0.21/0.36
% 0.21/0.36 cnf(c38, plain,
% 0.21/0.36 $false,
% 0.21/0.36 inference(constraint_solving, [
% 0.21/0.36 bind(X0, f(X5,X7)),
% 0.21/0.36 bind(X1, succ(succ(zero))),
% 0.21/0.36 bind(X2, f(X5,X7)),
% 0.21/0.36 bind(X3, f(X5,X7)),
% 0.21/0.36 bind(X4, f(X5,X6)),
% 0.21/0.36 bind(X5, f(f(X24,f(X23,a)),X22)),
% 0.21/0.36 bind(X6, f(f(X10,X11),f(X12,a))),
% 0.21/0.36 bind(X7, f(f(X12,f(X11,a)),X10)),
% 0.21/0.36 bind(X8, f(f(X10,X11),f(X12,a))),
% 0.21/0.36 bind(X9, f(f(X12,f(X11,a)),X10)),
% 0.21/0.36 bind(X10, a),
% 0.21/0.36 bind(X11, a),
% 0.21/0.36 bind(X12, f(X10,X11)),
% 0.21/0.36 bind(X13, succ(zero)),
% 0.21/0.36 bind(X14, f(X5,X7)),
% 0.21/0.36 bind(X15, f(X5,X6)),
% 0.21/0.36 bind(X16, f(X17,X18)),
% 0.21/0.36 bind(X17, f(f(X22,X23),f(X24,a))),
% 0.21/0.36 bind(X18, f(f(X10,X11),f(X12,a))),
% 0.21/0.36 bind(X19, f(f(X24,f(X23,a)),X22)),
% 0.21/0.36 bind(X20, f(f(X22,X23),f(X24,a))),
% 0.21/0.36 bind(X21, f(f(X24,f(X23,a)),X22)),
% 0.21/0.36 bind(X22, f(X10,X11)),
% 0.21/0.36 bind(X23, f(X10,X11)),
% 0.21/0.36 bind(X24, f(X10,X11)),
% 0.21/0.36 bind(X25, zero),
% 0.21/0.36 bind(X26, f(X5,X7)),
% 0.21/0.36 bind(X27, f(X17,X18)),
% 0.21/0.36 bind(X28, f(f(X31,X32),f(X33,a))),
% 0.21/0.36 bind(X29, f(f(X31,X32),f(X33,a))),
% 0.21/0.36 bind(X30, f(X17,X18)),
% 0.21/0.36 bind(X31, f(f(X10,X11),f(X12,a))),
% 0.21/0.36 bind(X32, f(X10,X11)),
% 0.21/0.36 bind(X33, f(X22,X23)),
% 0.21/0.36 bind(X34, f(X5,X7))
% 0.21/0.36 ],
% 0.21/0.36 [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])).
% 0.21/0.36
% 0.21/0.36 % SZS output end IncompleteProof
%------------------------------------------------------------------------------