TSTP Solution File: SET954+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET954+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 : n008.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 18:26:11 EDT 2022
% Result : Theorem 1.73s 0.57s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 17 unt; 0 def)
% Number of atoms : 90 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 83 ( 37 ~; 25 |; 13 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 98 ( 86 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f79,f85]) ).
fof(f85,plain,
spl6_1,
inference(avatar_split_clause,[],[f81,f67]) ).
fof(f67,plain,
( spl6_1
<=> in(sK2,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f81,plain,
in(sK2,sK5),
inference(resolution,[],[f59,f49]) ).
fof(f49,plain,
in(unordered_pair(singleton(sK4),unordered_pair(sK2,sK4)),cartesian_product2(sK3,sK5)),
inference(forward_demodulation,[],[f47,f36]) ).
fof(f36,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f47,plain,
in(unordered_pair(singleton(sK4),unordered_pair(sK4,sK2)),cartesian_product2(sK3,sK5)),
inference(backward_demodulation,[],[f41,f36]) ).
fof(f41,plain,
in(unordered_pair(unordered_pair(sK4,sK2),singleton(sK4)),cartesian_product2(sK3,sK5)),
inference(definition_unfolding,[],[f33,f34]) ).
fof(f34,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f33,plain,
in(ordered_pair(sK4,sK2),cartesian_product2(sK3,sK5)),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( in(ordered_pair(sK4,sK2),cartesian_product2(sK3,sK5))
& ~ in(ordered_pair(sK2,sK4),cartesian_product2(sK5,sK3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f23,f24]) ).
fof(f24,plain,
( ? [X0,X1,X2,X3] :
( in(ordered_pair(X2,X0),cartesian_product2(X1,X3))
& ~ in(ordered_pair(X0,X2),cartesian_product2(X3,X1)) )
=> ( in(ordered_pair(sK4,sK2),cartesian_product2(sK3,sK5))
& ~ in(ordered_pair(sK2,sK4),cartesian_product2(sK5,sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1,X2,X3] :
( in(ordered_pair(X2,X0),cartesian_product2(X1,X3))
& ~ in(ordered_pair(X0,X2),cartesian_product2(X3,X1)) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
? [X1,X3,X2,X0] :
( in(ordered_pair(X2,X1),cartesian_product2(X3,X0))
& ~ in(ordered_pair(X1,X2),cartesian_product2(X0,X3)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
~ ! [X3,X1,X0,X2] :
( in(ordered_pair(X2,X1),cartesian_product2(X3,X0))
=> in(ordered_pair(X1,X2),cartesian_product2(X0,X3)) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X3,X1,X0,X2] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
=> in(ordered_pair(X1,X0),cartesian_product2(X3,X2)) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X3,X1,X0,X2] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
=> in(ordered_pair(X1,X0),cartesian_product2(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t107_zfmisc_1) ).
fof(f59,plain,
! [X6,X7,X4,X5] :
( ~ in(unordered_pair(singleton(X4),unordered_pair(X5,X4)),cartesian_product2(X6,X7))
| in(X5,X7) ),
inference(superposition,[],[f50,f36]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X0,X2))
| in(X1,X2) ),
inference(forward_demodulation,[],[f39,f36]) ).
fof(f39,plain,
! [X2,X3,X0,X1] :
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X0,X2)) ),
inference(definition_unfolding,[],[f28,f34]) ).
fof(f28,plain,
! [X2,X3,X0,X1] :
( in(X1,X2)
| ~ in(ordered_pair(X3,X1),cartesian_product2(X0,X2)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X3,X1),cartesian_product2(X0,X2))
| ~ in(X1,X2)
| ~ in(X3,X0) )
& ( ( in(X1,X2)
& in(X3,X0) )
| ~ in(ordered_pair(X3,X1),cartesian_product2(X0,X2)) ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X3,X0,X2] :
( ( in(ordered_pair(X2,X3),cartesian_product2(X1,X0))
| ~ in(X3,X0)
| ~ in(X2,X1) )
& ( ( in(X3,X0)
& in(X2,X1) )
| ~ in(ordered_pair(X2,X3),cartesian_product2(X1,X0)) ) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X1,X3,X0,X2] :
( ( in(ordered_pair(X2,X3),cartesian_product2(X1,X0))
| ~ in(X3,X0)
| ~ in(X2,X1) )
& ( ( in(X3,X0)
& in(X2,X1) )
| ~ in(ordered_pair(X2,X3),cartesian_product2(X1,X0)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X1,X3,X0,X2] :
( in(ordered_pair(X2,X3),cartesian_product2(X1,X0))
<=> ( in(X3,X0)
& in(X2,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X3,X2,X0,X1] :
( ( in(X0,X2)
& in(X1,X3) )
<=> in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
fof(f79,plain,
spl6_2,
inference(avatar_split_clause,[],[f75,f71]) ).
fof(f71,plain,
( spl6_2
<=> in(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f75,plain,
in(sK4,sK3),
inference(resolution,[],[f57,f49]) ).
fof(f57,plain,
! [X6,X7,X4,X5] :
( ~ in(unordered_pair(singleton(X4),unordered_pair(X5,X4)),cartesian_product2(X6,X7))
| in(X4,X6) ),
inference(superposition,[],[f46,f36]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X0,X2))
| in(X3,X0) ),
inference(backward_demodulation,[],[f40,f36]) ).
fof(f40,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X0,X2)) ),
inference(definition_unfolding,[],[f27,f34]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(ordered_pair(X3,X1),cartesian_product2(X0,X2)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f74,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f60,f71,f67]) ).
fof(f60,plain,
( ~ in(sK4,sK3)
| ~ in(sK2,sK5) ),
inference(resolution,[],[f45,f48]) ).
fof(f48,plain,
~ in(unordered_pair(singleton(sK2),unordered_pair(sK2,sK4)),cartesian_product2(sK5,sK3)),
inference(backward_demodulation,[],[f42,f36]) ).
fof(f42,plain,
~ in(unordered_pair(unordered_pair(sK2,sK4),singleton(sK2)),cartesian_product2(sK5,sK3)),
inference(definition_unfolding,[],[f32,f34]) ).
fof(f32,plain,
~ in(ordered_pair(sK2,sK4),cartesian_product2(sK5,sK3)),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X0,X2))
| ~ in(X3,X0)
| ~ in(X1,X2) ),
inference(backward_demodulation,[],[f38,f36]) ).
fof(f38,plain,
! [X2,X3,X0,X1] :
( ~ in(X1,X2)
| in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X0,X2))
| ~ in(X3,X0) ),
inference(definition_unfolding,[],[f29,f34]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X3,X1),cartesian_product2(X0,X2))
| ~ in(X1,X2)
| ~ in(X3,X0) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET954+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:35:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.53 % (24639)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)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 TRYING [3]
% 0.19/0.55 % (24650)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 TRYING [3]
% 0.19/0.55 % (24647)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)
% 1.56/0.55 % (24642)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 (2999ds/51Mi)
% 1.56/0.55 % (24655)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)
% 1.56/0.56 % (24643)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.56/0.56 % (24634)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.56/0.56 % (24634)Refutation not found, incomplete strategy% (24634)------------------------------
% 1.56/0.56 % (24634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (24634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (24634)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.56
% 1.56/0.56 % (24634)Memory used [KB]: 5373
% 1.56/0.56 % (24634)Time elapsed: 0.161 s
% 1.56/0.56 % (24634)Instructions burned: 2 (million)
% 1.56/0.56 % (24634)------------------------------
% 1.56/0.56 % (24634)------------------------------
% 1.56/0.56 % (24659)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)
% 1.56/0.56 % (24656)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)
% 1.56/0.56 % (24643)First to succeed.
% 1.56/0.57 % (24648)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)
% 1.56/0.57 % (24651)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.56/0.57 % (24635)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 (2999ds/37Mi)
% 1.73/0.57 % (24640)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.73/0.57 % (24655)Also succeeded, but the first one will report.
% 1.73/0.57 % (24643)Refutation found. Thanks to Tanya!
% 1.73/0.57 % SZS status Theorem for theBenchmark
% 1.73/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.57 % (24643)------------------------------
% 1.73/0.57 % (24643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.57 % (24643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.57 % (24643)Termination reason: Refutation
% 1.73/0.57
% 1.73/0.57 % (24643)Memory used [KB]: 5373
% 1.73/0.57 % (24643)Time elapsed: 0.156 s
% 1.73/0.57 % (24643)Instructions burned: 3 (million)
% 1.73/0.57 % (24643)------------------------------
% 1.73/0.57 % (24643)------------------------------
% 1.73/0.57 % (24632)Success in time 0.224 s
%------------------------------------------------------------------------------