TSTP Solution File: SEU230+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU230+3 : 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 : 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 18:32:42 EDT 2022
% Result : Theorem 1.60s 0.58s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 140 ( 40 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 179 ( 67 ~; 68 |; 35 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-3 aty)
% Number of variables : 67 ( 58 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f247,plain,
$false,
inference(subsumption_resolution,[],[f240,f163]) ).
fof(f163,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f162]) ).
fof(f162,plain,
! [X3,X0] :
( in(X3,X0)
| singleton(X3) != X0 ),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X3,X0,X1] :
( in(X3,X0)
| X1 != X3
| singleton(X1) != X0 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( singleton(X1) = X0
| ( ( ~ in(sK11(X0,X1),X0)
| sK11(X0,X1) != X1 )
& ( in(sK11(X0,X1),X0)
| sK11(X0,X1) = X1 ) ) )
& ( ! [X3] :
( ( X1 = X3
| ~ in(X3,X0) )
& ( in(X3,X0)
| X1 != X3 ) )
| singleton(X1) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f96,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X0)
| X1 != X2 )
& ( in(X2,X0)
| X1 = X2 ) )
=> ( ( ~ in(sK11(X0,X1),X0)
| sK11(X0,X1) != X1 )
& ( in(sK11(X0,X1),X0)
| sK11(X0,X1) = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0,X1] :
( ( singleton(X1) = X0
| ? [X2] :
( ( ~ in(X2,X0)
| X1 != X2 )
& ( in(X2,X0)
| X1 = X2 ) ) )
& ( ! [X3] :
( ( X1 = X3
| ~ in(X3,X0) )
& ( in(X3,X0)
| X1 != X3 ) )
| singleton(X1) != X0 ) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X1,X0] :
( ( singleton(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| X0 != X2 )
& ( in(X2,X1)
| X0 = X2 ) ) )
& ( ! [X2] :
( ( X0 = X2
| ~ in(X2,X1) )
& ( in(X2,X1)
| X0 != X2 ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( singleton(X0) = X1
<=> ! [X2] :
( X0 = X2
<=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f240,plain,
~ in(sK4,singleton(sK4)),
inference(resolution,[],[f165,f160]) ).
fof(f160,plain,
~ in(sK4,set_union2(sK4,singleton(sK4))),
inference(definition_unfolding,[],[f121,f116]) ).
fof(f116,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(f121,plain,
~ in(sK4,succ(sK4)),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
~ in(sK4,succ(sK4)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f64,f76]) ).
fof(f76,plain,
( ? [X0] : ~ in(X0,succ(X0))
=> ~ in(sK4,succ(sK4)) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
? [X0] : ~ in(X0,succ(X0)),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X0] : in(X0,succ(X0)),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_ordinal1) ).
fof(f165,plain,
! [X3,X0,X1] :
( in(X3,set_union2(X1,X0))
| ~ in(X3,X0) ),
inference(equality_resolution,[],[f156]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( in(X3,X2)
| ~ in(X3,X0)
| set_union2(X1,X0) != X2 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X1,X0) != X2 )
& ( set_union2(X1,X0) = X2
| ( ( ( ~ in(sK13(X0,X1,X2),X1)
& ~ in(sK13(X0,X1,X2),X0) )
| ~ in(sK13(X0,X1,X2),X2) )
& ( in(sK13(X0,X1,X2),X1)
| in(sK13(X0,X1,X2),X0)
| in(sK13(X0,X1,X2),X2) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f103,f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ( ~ in(X4,X1)
& ~ in(X4,X0) )
| ~ in(X4,X2) )
& ( in(X4,X1)
| in(X4,X0)
| in(X4,X2) ) )
=> ( ( ( ~ in(sK13(X0,X1,X2),X1)
& ~ in(sK13(X0,X1,X2),X0) )
| ~ in(sK13(X0,X1,X2),X2) )
& ( in(sK13(X0,X1,X2),X1)
| in(sK13(X0,X1,X2),X0)
| in(sK13(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X1,X0) != X2 )
& ( set_union2(X1,X0) = X2
| ? [X4] :
( ( ( ~ in(X4,X1)
& ~ in(X4,X0) )
| ~ in(X4,X2) )
& ( in(X4,X1)
| in(X4,X0)
| in(X4,X2) ) ) ) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ( ! [X3] :
( ( in(X3,X1)
| ( ~ in(X3,X0)
& ~ in(X3,X2) ) )
& ( in(X3,X0)
| in(X3,X2)
| ~ in(X3,X1) ) )
| set_union2(X0,X2) != X1 )
& ( set_union2(X0,X2) = X1
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X2) )
| ~ in(X3,X1) )
& ( in(X3,X0)
| in(X3,X2)
| in(X3,X1) ) ) ) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ( ! [X3] :
( ( in(X3,X1)
| ( ~ in(X3,X0)
& ~ in(X3,X2) ) )
& ( in(X3,X0)
| in(X3,X2)
| ~ in(X3,X1) ) )
| set_union2(X0,X2) != X1 )
& ( set_union2(X0,X2) = X1
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X2) )
| ~ in(X3,X1) )
& ( in(X3,X0)
| in(X3,X2)
| in(X3,X1) ) ) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ! [X3] :
( in(X3,X1)
<=> ( in(X3,X0)
| in(X3,X2) ) )
<=> set_union2(X0,X2) = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2,X1] :
( ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) )
<=> set_union2(X0,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SEU230+3 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 14:55:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.60/0.56 % (27841)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.60/0.56 % (27831)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.60/0.56 % (27832)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.60/0.56 % (27833)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.60/0.56 TRYING [1]
% 1.60/0.56 % (27838)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.60/0.56 % (27839)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 (2999ds/68Mi)
% 1.60/0.56 TRYING [2]
% 1.60/0.56 % (27832)First to succeed.
% 1.60/0.56 TRYING [3]
% 1.60/0.56 % (27840)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 (2999ds/75Mi)
% 1.60/0.56 % (27847)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 (2999ds/498Mi)
% 1.60/0.56 % (27849)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.60/0.56 % (27848)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.60/0.56 % (27833)Instruction limit reached!
% 1.60/0.56 % (27833)------------------------------
% 1.60/0.56 % (27833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (27833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (27833)Termination reason: Unknown
% 1.60/0.56 % (27833)Termination phase: Blocked clause elimination
% 1.60/0.56
% 1.60/0.56 % (27833)Memory used [KB]: 895
% 1.60/0.56 % (27833)Time elapsed: 0.005 s
% 1.60/0.56 % (27833)Instructions burned: 3 (million)
% 1.60/0.56 % (27833)------------------------------
% 1.60/0.56 % (27833)------------------------------
% 1.60/0.57 % (27846)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.60/0.57 % (27854)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.60/0.58 TRYING [4]
% 1.60/0.58 % (27832)Refutation found. Thanks to Tanya!
% 1.60/0.58 % SZS status Theorem for theBenchmark
% 1.60/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.58 % (27832)------------------------------
% 1.60/0.58 % (27832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.58 % (27832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.58 % (27832)Termination reason: Refutation
% 1.60/0.58
% 1.60/0.58 % (27832)Memory used [KB]: 5500
% 1.60/0.58 % (27832)Time elapsed: 0.143 s
% 1.60/0.58 % (27832)Instructions burned: 6 (million)
% 1.60/0.58 % (27832)------------------------------
% 1.60/0.58 % (27832)------------------------------
% 1.60/0.58 % (27824)Success in time 0.227 s
%------------------------------------------------------------------------------