TSTP Solution File: SET838-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET838-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n020.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 : 300s
% DateTime : Wed Aug 31 18:25:49 EDT 2022
% Result : Unsatisfiable 0.23s 0.54s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 19 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1856,plain,
$false,
inference(subsumption_resolution,[],[f1853,f1740]) ).
fof(f1740,plain,
sF0 != v_xa(sF0),
inference(trivial_inequality_removal,[],[f1737]) ).
fof(f1737,plain,
( sF0 != v_xa(sF0)
| sF0 != sF0 ),
inference(superposition,[],[f1371,f1687]) ).
fof(f1687,plain,
sF3(sF0) = sF0,
inference(forward_demodulation,[],[f1686,f1362]) ).
fof(f1362,plain,
v_g(v_x) = sF0,
introduced(function_definition,[]) ).
fof(f1686,plain,
v_g(v_x) = sF3(sF0),
inference(forward_demodulation,[],[f1683,f1364]) ).
fof(f1364,plain,
v_x = sF1,
inference(definition_folding,[],[f1358,f1363,f1362]) ).
fof(f1363,plain,
v_f(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f1358,axiom,
v_x = v_f(v_g(v_x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1683,plain,
sF3(sF0) = v_g(sF1),
inference(superposition,[],[f1367,f1363]) ).
fof(f1367,plain,
! [X41] : v_g(v_f(X41)) = sF3(X41),
introduced(function_definition,[]) ).
fof(f1371,plain,
! [X41] :
( sF3(X41) != X41
| v_xa(X41) != X41 ),
inference(definition_folding,[],[f1361,f1367]) ).
fof(f1361,axiom,
! [X41] :
( v_g(v_f(X41)) != X41
| v_xa(X41) != X41 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1853,plain,
sF0 = v_xa(sF0),
inference(superposition,[],[f1850,f1752]) ).
fof(f1752,plain,
sF5(sF0) = v_xa(sF0),
inference(trivial_inequality_removal,[],[f1749]) ).
fof(f1749,plain,
( sF0 != sF0
| sF5(sF0) = v_xa(sF0) ),
inference(superposition,[],[f1370,f1687]) ).
fof(f1370,plain,
! [X41] :
( sF3(X41) != X41
| v_xa(X41) = sF5(X41) ),
inference(definition_folding,[],[f1360,f1369,f1368,f1367]) ).
fof(f1368,plain,
! [X41] : v_f(v_xa(X41)) = sF4(X41),
introduced(function_definition,[]) ).
fof(f1369,plain,
! [X41] : sF5(X41) = v_g(sF4(X41)),
introduced(function_definition,[]) ).
fof(f1360,axiom,
! [X41] :
( v_g(v_f(X41)) != X41
| v_xa(X41) = v_g(v_f(v_xa(X41))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1850,plain,
sF0 = sF5(sF0),
inference(forward_demodulation,[],[f1849,f1362]) ).
fof(f1849,plain,
v_g(v_x) = sF5(sF0),
inference(superposition,[],[f1369,f1847]) ).
fof(f1847,plain,
v_x = sF4(sF0),
inference(subsumption_resolution,[],[f1846,f1368]) ).
fof(f1846,plain,
( sF4(sF0) != v_f(v_xa(sF0))
| v_x = sF4(sF0) ),
inference(superposition,[],[f1736,f1752]) ).
fof(f1736,plain,
! [X0] :
( v_f(sF5(X0)) != sF4(X0)
| v_x = sF4(X0) ),
inference(superposition,[],[f1366,f1690]) ).
fof(f1690,plain,
! [X0] : v_f(sF5(X0)) = sF2(sF4(X0)),
inference(superposition,[],[f1365,f1369]) ).
fof(f1365,plain,
! [X41] : v_f(v_g(X41)) = sF2(X41),
introduced(function_definition,[]) ).
fof(f1366,plain,
! [X41] :
( sF2(X41) != X41
| v_x = X41 ),
inference(definition_folding,[],[f1359,f1365]) ).
fof(f1359,axiom,
! [X41] :
( v_f(v_g(X41)) != X41
| v_x = X41 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET838-1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 30 14:25:15 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.23/0.48 % (29218)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.23/0.49 % (29226)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.23/0.53 % (29218)First to succeed.
% 0.23/0.54 % (29218)Refutation found. Thanks to Tanya!
% 0.23/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.54 % (29218)------------------------------
% 0.23/0.54 % (29218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.54 % (29218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.54 % (29218)Termination reason: Refutation
% 0.23/0.54
% 0.23/0.54 % (29218)Memory used [KB]: 6908
% 0.23/0.54 % (29218)Time elapsed: 0.083 s
% 0.23/0.54 % (29218)Instructions burned: 37 (million)
% 0.23/0.54 % (29218)------------------------------
% 0.23/0.54 % (29218)------------------------------
% 0.23/0.54 % (29204)Success in time 0.167 s
%------------------------------------------------------------------------------