TSTP Solution File: SEU144+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU144+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 : n009.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 18:32:07 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 8 unt; 0 def)
% Number of atoms : 140 ( 37 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 155 ( 58 ~; 61 |; 23 &)
% ( 8 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 71 ( 59 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f82,plain,
$false,
inference(subsumption_resolution,[],[f80,f59]) ).
fof(f59,plain,
in(sK2,sK3),
inference(duplicate_literal_removal,[],[f58]) ).
fof(f58,plain,
( in(sK2,sK3)
| in(sK2,sK3) ),
inference(resolution,[],[f52,f43]) ).
fof(f43,plain,
in(sK2,sF4),
inference(superposition,[],[f37,f39]) ).
fof(f39,plain,
singleton(sK2) = sF4,
introduced(function_definition,[]) ).
fof(f37,plain,
! [X2] : in(X2,singleton(X2)),
inference(equality_resolution,[],[f36]) ).
fof(f36,plain,
! [X2,X0] :
( in(X2,X0)
| singleton(X2) != X0 ),
inference(equality_resolution,[],[f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( in(X2,X0)
| X1 != X2
| singleton(X1) != X0 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X0)
| X1 != X2 )
& ( X1 = X2
| ~ in(X2,X0) ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ( ( sK1(X0,X1) != X1
| ~ in(sK1(X0,X1),X0) )
& ( sK1(X0,X1) = X1
| in(sK1(X0,X1),X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f18,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X3] :
( ( X1 != X3
| ~ in(X3,X0) )
& ( X1 = X3
| in(X3,X0) ) )
=> ( ( sK1(X0,X1) != X1
| ~ in(sK1(X0,X1),X0) )
& ( sK1(X0,X1) = X1
| in(sK1(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X0)
| X1 != X2 )
& ( X1 = X2
| ~ in(X2,X0) ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ? [X3] :
( ( X1 != X3
| ~ in(X3,X0) )
& ( X1 = X3
| in(X3,X0) ) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X0)
| X1 != X2 )
& ( X1 = X2
| ~ in(X2,X0) ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ? [X2] :
( ( X1 != X2
| ~ in(X2,X0) )
& ( X1 = X2
| in(X2,X0) ) ) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> X1 = X2 )
<=> singleton(X1) = X0 ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
<=> X0 = X2 )
<=> singleton(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f52,plain,
! [X0] :
( ~ in(X0,sF4)
| in(sK2,sK3)
| in(X0,sK3) ),
inference(resolution,[],[f27,f41]) ).
fof(f41,plain,
( subset(sF4,sK3)
| in(sK2,sK3) ),
inference(definition_folding,[],[f33,f39]) ).
fof(f33,plain,
( in(sK2,sK3)
| subset(singleton(sK2),sK3) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( ~ in(sK2,sK3)
| ~ subset(singleton(sK2),sK3) )
& ( in(sK2,sK3)
| subset(singleton(sK2),sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f21,f22]) ).
fof(f22,plain,
( ? [X0,X1] :
( ( ~ in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( in(X0,X1)
| subset(singleton(X0),X1) ) )
=> ( ( ~ in(sK2,sK3)
| ~ subset(singleton(sK2),sK3) )
& ( in(sK2,sK3)
| subset(singleton(sK2),sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0,X1] :
( ( ~ in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( in(X0,X1)
| subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
? [X0,X1] :
( subset(singleton(X0),X1)
<~> in(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
<=> subset(singleton(X0),X1) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0,X1] :
( in(X0,X1)
<=> subset(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| in(X2,X1)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( in(sK0(X0,X1),X0)
& ~ in(sK0(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X0)
& ~ in(X3,X1) )
=> ( in(sK0(X0,X1),X0)
& ~ in(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( in(X3,X0)
& ~ in(X3,X1) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f80,plain,
~ in(sK2,sK3),
inference(resolution,[],[f79,f40]) ).
fof(f40,plain,
( ~ subset(sF4,sK3)
| ~ in(sK2,sK3) ),
inference(definition_folding,[],[f34,f39]) ).
fof(f34,plain,
( ~ in(sK2,sK3)
| ~ subset(singleton(sK2),sK3) ),
inference(cnf_transformation,[],[f23]) ).
fof(f79,plain,
subset(sF4,sK3),
inference(subsumption_resolution,[],[f77,f59]) ).
fof(f77,plain,
( subset(sF4,sK3)
| ~ in(sK2,sK3) ),
inference(superposition,[],[f25,f71]) ).
fof(f71,plain,
sK0(sF4,sK3) = sK2,
inference(subsumption_resolution,[],[f69,f59]) ).
fof(f69,plain,
( ~ in(sK2,sK3)
| sK0(sF4,sK3) = sK2 ),
inference(resolution,[],[f65,f40]) ).
fof(f65,plain,
! [X0] :
( subset(sF4,X0)
| sK0(sF4,X0) = sK2 ),
inference(resolution,[],[f47,f26]) ).
fof(f26,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f47,plain,
! [X0] :
( ~ in(X0,sF4)
| sK2 = X0 ),
inference(superposition,[],[f38,f39]) ).
fof(f38,plain,
! [X2,X1] :
( ~ in(X2,singleton(X1))
| X1 = X2 ),
inference(equality_resolution,[],[f30]) ).
fof(f30,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ in(X2,X0)
| singleton(X1) != X0 ),
inference(cnf_transformation,[],[f20]) ).
fof(f25,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU144+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:41:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (2399)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.47 % (2407)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.18/0.48 % (2407)First to succeed.
% 0.18/0.48 % (2407)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (2407)------------------------------
% 0.18/0.48 % (2407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (2407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (2407)Termination reason: Refutation
% 0.18/0.48
% 0.18/0.48 % (2407)Memory used [KB]: 895
% 0.18/0.48 % (2407)Time elapsed: 0.107 s
% 0.18/0.48 % (2407)Instructions burned: 2 (million)
% 0.18/0.48 % (2407)------------------------------
% 0.18/0.48 % (2407)------------------------------
% 0.18/0.48 % (2391)Success in time 0.14 s
%------------------------------------------------------------------------------