TSTP Solution File: SEU147+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU147+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 : n026.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 18:32:08 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 167 ( 59 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 191 ( 71 ~; 79 |; 26 &)
% ( 8 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 88 ( 79 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f110,plain,
$false,
inference(subsumption_resolution,[],[f109,f59]) ).
fof(f59,plain,
! [X2] : in(X2,singleton(X2)),
inference(equality_resolution,[],[f58]) ).
fof(f58,plain,
! [X2,X0] :
( in(X2,X0)
| singleton(X2) != X0 ),
inference(equality_resolution,[],[f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( in(X2,X0)
| X1 != X2
| singleton(X1) != X0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X2] :
( ( X1 = X2
| ~ in(X2,X0) )
& ( in(X2,X0)
| X1 != X2 ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ( ( ~ in(sK4(X0,X1),X0)
| sK4(X0,X1) != X1 )
& ( in(sK4(X0,X1),X0)
| sK4(X0,X1) = X1 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ in(X3,X0)
| X1 != X3 )
& ( in(X3,X0)
| X1 = X3 ) )
=> ( ( ~ in(sK4(X0,X1),X0)
| sK4(X0,X1) != X1 )
& ( in(sK4(X0,X1),X0)
| sK4(X0,X1) = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1] :
( ( ! [X2] :
( ( X1 = X2
| ~ in(X2,X0) )
& ( in(X2,X0)
| X1 != X2 ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| X1 != X3 )
& ( in(X3,X0)
| X1 = X3 ) ) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( ! [X2] :
( ( X1 = X2
| ~ in(X2,X0) )
& ( in(X2,X0)
| X1 != X2 ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ? [X2] :
( ( ~ in(X2,X0)
| X1 != X2 )
& ( in(X2,X0)
| X1 = X2 ) ) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ! [X2] :
( X1 = X2
<=> in(X2,X0) )
<=> 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(f109,plain,
~ in(empty_set,singleton(empty_set)),
inference(subsumption_resolution,[],[f108,f62]) ).
fof(f62,plain,
! [X0] : in(X0,powerset(X0)),
inference(resolution,[],[f55,f45]) ).
fof(f45,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f55,plain,
! [X3,X0] :
( ~ subset(X3,X0)
| in(X3,powerset(X0)) ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ( ( ~ subset(sK3(X0,X1),X0)
| ~ in(sK3(X0,X1),X1) )
& ( subset(sK3(X0,X1),X0)
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f31,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) )
=> ( ( ~ subset(sK3(X0,X1),X0)
| ~ in(sK3(X0,X1),X1) )
& ( subset(sK3(X0,X1),X0)
| in(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( powerset(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f108,plain,
( ~ in(empty_set,powerset(empty_set))
| ~ in(empty_set,singleton(empty_set)) ),
inference(subsumption_resolution,[],[f105,f38]) ).
fof(f38,plain,
powerset(empty_set) != singleton(empty_set),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
powerset(empty_set) != singleton(empty_set),
inference(flattening,[],[f12]) ).
fof(f12,negated_conjecture,
powerset(empty_set) != singleton(empty_set),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_zfmisc_1) ).
fof(f105,plain,
( powerset(empty_set) = singleton(empty_set)
| ~ in(empty_set,powerset(empty_set))
| ~ in(empty_set,singleton(empty_set)) ),
inference(superposition,[],[f42,f88]) ).
fof(f88,plain,
empty_set = sK1(singleton(empty_set),powerset(empty_set)),
inference(subsumption_resolution,[],[f86,f57]) ).
fof(f57,plain,
! [X2,X1] :
( ~ in(X2,singleton(X1))
| X1 = X2 ),
inference(equality_resolution,[],[f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ in(X2,X0)
| singleton(X1) != X0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f86,plain,
( empty_set = sK1(singleton(empty_set),powerset(empty_set))
| in(sK1(singleton(empty_set),powerset(empty_set)),singleton(empty_set)) ),
inference(resolution,[],[f64,f70]) ).
fof(f70,plain,
( in(sK1(singleton(empty_set),powerset(empty_set)),powerset(empty_set))
| in(sK1(singleton(empty_set),powerset(empty_set)),singleton(empty_set)) ),
inference(extensionality_resolution,[],[f41,f38]) ).
fof(f41,plain,
! [X0,X1] :
( in(sK1(X0,X1),X1)
| in(sK1(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( ( ~ in(sK1(X0,X1),X0)
| ~ in(sK1(X0,X1),X1) )
& ( in(sK1(X0,X1),X0)
| in(sK1(X0,X1),X1) ) )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f24,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X0)
| ~ in(X2,X1) )
& ( in(X2,X0)
| in(X2,X1) ) )
=> ( ( ~ in(sK1(X0,X1),X0)
| ~ in(sK1(X0,X1),X1) )
& ( in(sK1(X0,X1),X0)
| in(sK1(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X0)
| ~ in(X2,X1) )
& ( in(X2,X0)
| in(X2,X1) ) )
| X0 = X1 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
<~> in(X2,X0) )
| X0 = X1 ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(f64,plain,
! [X0] :
( ~ in(X0,powerset(empty_set))
| empty_set = X0 ),
inference(resolution,[],[f56,f39]) ).
fof(f39,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f56,plain,
! [X3,X0] :
( subset(X3,X0)
| ~ in(X3,powerset(X0)) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,plain,
! [X3,X0,X1] :
( subset(X3,X0)
| ~ in(X3,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f42,plain,
! [X0,X1] :
( ~ in(sK1(X0,X1),X1)
| ~ in(sK1(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU147+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 15:00:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.52 % (7955)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.21/0.52 % (7947)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.21/0.52 % (7935)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.21/0.52 % (7954)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.21/0.53 % (7939)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53 % (7955)First to succeed.
% 0.21/0.53 % (7933)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.21/0.53 % (7934)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.53 % (7943)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.53 % (7940)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.21/0.53 % (7944)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.21/0.53 % (7941)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.53 % (7953)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.21/0.53 % (7941)Instruction limit reached!
% 0.21/0.53 % (7941)------------------------------
% 0.21/0.53 % (7941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (7941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (7941)Termination reason: Unknown
% 0.21/0.53 % (7941)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (7941)Memory used [KB]: 5373
% 0.21/0.53 % (7941)Time elapsed: 0.125 s
% 0.21/0.53 % (7941)Instructions burned: 2 (million)
% 0.21/0.53 % (7941)------------------------------
% 0.21/0.53 % (7941)------------------------------
% 0.21/0.53 TRYING [1]
% 0.21/0.53 % (7942)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53 TRYING [2]
% 0.21/0.53 TRYING [3]
% 0.21/0.53 % (7944)Also succeeded, but the first one will report.
% 0.21/0.53 % (7946)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.53 % (7940)Instruction limit reached!
% 0.21/0.53 % (7940)------------------------------
% 0.21/0.53 % (7940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (7940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (7940)Termination reason: Unknown
% 0.21/0.53 % (7940)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (7940)Memory used [KB]: 5500
% 0.21/0.53 % (7940)Time elapsed: 0.130 s
% 0.21/0.53 % (7940)Instructions burned: 7 (million)
% 0.21/0.53 % (7940)------------------------------
% 0.21/0.53 % (7940)------------------------------
% 0.21/0.53 % (7955)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (7955)------------------------------
% 0.21/0.53 % (7955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (7955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (7955)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (7955)Memory used [KB]: 1023
% 0.21/0.53 % (7955)Time elapsed: 0.076 s
% 0.21/0.53 % (7955)Instructions burned: 4 (million)
% 0.21/0.53 % (7955)------------------------------
% 0.21/0.53 % (7955)------------------------------
% 0.21/0.53 % (7932)Success in time 0.181 s
%------------------------------------------------------------------------------