TSTP Solution File: SEU162+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU162+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n022.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 18:32:15 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 56 ( 3 unt; 0 def)
% Number of atoms : 124 ( 34 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 118 ( 50 ~; 50 |; 6 &)
% ( 7 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 43 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f46,f77,f87]) ).
fof(f87,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_contradiction_clause,[],[f86]) ).
fof(f86,plain,
( $false
| ~ spl4_1
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f85,f80]) ).
fof(f80,plain,
( ~ disjoint(sF2,sK1)
| ~ spl4_1 ),
inference(resolution,[],[f39,f47]) ).
fof(f47,plain,
! [X0] :
( ~ in(sK0,X0)
| ~ disjoint(sF2,X0) ),
inference(superposition,[],[f30,f33]) ).
fof(f33,plain,
sF2 = singleton(sK0),
introduced(function_definition,[]) ).
fof(f30,plain,
! [X0,X1] :
( ~ disjoint(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ disjoint(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l25_zfmisc_1) ).
fof(f39,plain,
( in(sK0,sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl4_1
<=> in(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f85,plain,
( disjoint(sF2,sK1)
| ~ spl4_2 ),
inference(resolution,[],[f78,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ disjoint(X1,X0)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ disjoint(X1,X0)
| disjoint(X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X1,X0] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f78,plain,
( disjoint(sK1,sF2)
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f61,f44]) ).
fof(f44,plain,
( sF3 = sK1
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl4_2
<=> sF3 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f61,plain,
( disjoint(sK1,sF2)
| sF3 != sK1 ),
inference(superposition,[],[f26,f34]) ).
fof(f34,plain,
sF3 = set_difference(sK1,sF2),
introduced(function_definition,[]) ).
fof(f26,plain,
! [X0,X1] :
( set_difference(X1,X0) != X1
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ( disjoint(X1,X0)
| set_difference(X1,X0) != X1 )
& ( set_difference(X1,X0) = X1
| ~ disjoint(X1,X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( disjoint(X1,X0)
<=> set_difference(X1,X0) = X1 ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( set_difference(X0,X1) = X0
<=> disjoint(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_xboole_1) ).
fof(f77,plain,
( spl4_1
| spl4_2 ),
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| spl4_1
| spl4_2 ),
inference(subsumption_resolution,[],[f75,f43]) ).
fof(f43,plain,
( sF3 != sK1
| spl4_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f75,plain,
( sF3 = sK1
| spl4_1 ),
inference(backward_demodulation,[],[f34,f73]) ).
fof(f73,plain,
( set_difference(sK1,sF2) = sK1
| spl4_1 ),
inference(resolution,[],[f72,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ disjoint(X1,X0)
| set_difference(X1,X0) = X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f72,plain,
( disjoint(sK1,sF2)
| spl4_1 ),
inference(resolution,[],[f69,f27]) ).
fof(f69,plain,
( disjoint(sF2,sK1)
| spl4_1 ),
inference(trivial_inequality_removal,[],[f68]) ).
fof(f68,plain,
( disjoint(sF2,sK1)
| sF2 != sF2
| spl4_1 ),
inference(superposition,[],[f26,f67]) ).
fof(f67,plain,
( sF2 = set_difference(sF2,sK1)
| spl4_1 ),
inference(forward_demodulation,[],[f62,f33]) ).
fof(f62,plain,
( set_difference(singleton(sK0),sK1) = singleton(sK0)
| spl4_1 ),
inference(resolution,[],[f52,f40]) ).
fof(f40,plain,
( ~ in(sK0,sK1)
| spl4_1 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f52,plain,
! [X0,X1] :
( in(X0,X1)
| singleton(X0) = set_difference(singleton(X0),X1) ),
inference(resolution,[],[f25,f32]) ).
fof(f32,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( disjoint(singleton(X1),X0)
| in(X1,X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( ~ in(X1,X0)
=> disjoint(singleton(X1),X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_zfmisc_1) ).
fof(f46,plain,
( ~ spl4_2
| spl4_1 ),
inference(avatar_split_clause,[],[f35,f38,f42]) ).
fof(f35,plain,
( in(sK0,sK1)
| sF3 != sK1 ),
inference(definition_folding,[],[f29,f34,f33]) ).
fof(f29,plain,
( in(sK0,sK1)
| set_difference(sK1,singleton(sK0)) != sK1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( in(sK0,sK1)
| set_difference(sK1,singleton(sK0)) != sK1 )
& ( ~ in(sK0,sK1)
| set_difference(sK1,singleton(sK0)) = sK1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f21,f22]) ).
fof(f22,plain,
( ? [X0,X1] :
( ( in(X0,X1)
| set_difference(X1,singleton(X0)) != X1 )
& ( ~ in(X0,X1)
| set_difference(X1,singleton(X0)) = X1 ) )
=> ( ( in(sK0,sK1)
| set_difference(sK1,singleton(sK0)) != sK1 )
& ( ~ in(sK0,sK1)
| set_difference(sK1,singleton(sK0)) = sK1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0,X1] :
( ( in(X0,X1)
| set_difference(X1,singleton(X0)) != X1 )
& ( ~ in(X0,X1)
| set_difference(X1,singleton(X0)) = X1 ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
? [X0,X1] :
( set_difference(X1,singleton(X0)) = X1
<~> ~ in(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ! [X0,X1] :
( set_difference(X1,singleton(X0)) = X1
<=> ~ in(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X1,X0] :
( set_difference(X0,singleton(X1)) = X0
<=> ~ in(X1,X0) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X1,X0] :
( set_difference(X0,singleton(X1)) = X0
<=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(f45,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f36,f42,f38]) ).
fof(f36,plain,
( sF3 = sK1
| ~ in(sK0,sK1) ),
inference(definition_folding,[],[f28,f34,f33]) ).
fof(f28,plain,
( ~ in(sK0,sK1)
| set_difference(sK1,singleton(sK0)) = sK1 ),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU162+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n022.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 : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:45:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (30003)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50 % (30027)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.50 % (30011)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.50 % (30003)First to succeed.
% 0.20/0.51 % (30003)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (30003)------------------------------
% 0.20/0.51 % (30003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (30003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (30003)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (30003)Memory used [KB]: 5373
% 0.20/0.51 % (30003)Time elapsed: 0.110 s
% 0.20/0.51 % (30003)Instructions burned: 3 (million)
% 0.20/0.51 % (30003)------------------------------
% 0.20/0.51 % (30003)------------------------------
% 0.20/0.51 % (29995)Success in time 0.156 s
%------------------------------------------------------------------------------