TSTP Solution File: SEU165+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU165+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 : n020.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 18:32:16 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 133 ( 6 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 145 ( 59 ~; 55 |; 24 &)
% ( 5 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 104 ( 84 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,plain,
$false,
inference(subsumption_resolution,[],[f95,f60]) ).
fof(f60,plain,
in(sK2,sK3),
inference(subsumption_resolution,[],[f59,f52]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,X0))
| in(X3,X0) ),
inference(backward_demodulation,[],[f47,f36]) ).
fof(f36,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X0)) ),
inference(definition_unfolding,[],[f38,f34]) ).
fof(f34,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f38,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(ordered_pair(X1,X3),cartesian_product2(X2,X0)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X1,X3),cartesian_product2(X2,X0))
| ~ in(X1,X2)
| ~ in(X3,X0) )
& ( ( in(X1,X2)
& in(X3,X0) )
| ~ in(ordered_pair(X1,X3),cartesian_product2(X2,X0)) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0,X3,X1,X2] :
( ( in(ordered_pair(X3,X2),cartesian_product2(X1,X0))
| ~ in(X3,X1)
| ~ in(X2,X0) )
& ( ( in(X3,X1)
& in(X2,X0) )
| ~ in(ordered_pair(X3,X2),cartesian_product2(X1,X0)) ) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X3,X1,X2] :
( ( in(ordered_pair(X3,X2),cartesian_product2(X1,X0))
| ~ in(X3,X1)
| ~ in(X2,X0) )
& ( ( in(X3,X1)
& in(X2,X0) )
| ~ in(ordered_pair(X3,X2),cartesian_product2(X1,X0)) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X3,X1,X2] :
( in(ordered_pair(X3,X2),cartesian_product2(X1,X0))
<=> ( in(X3,X1)
& in(X2,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3,X2,X1,X0] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
fof(f59,plain,
( in(unordered_pair(singleton(sK4),unordered_pair(sK4,sK2)),cartesian_product2(sK5,sK3))
| in(sK2,sK3) ),
inference(forward_demodulation,[],[f51,f36]) ).
fof(f51,plain,
( in(unordered_pair(unordered_pair(sK4,sK2),singleton(sK4)),cartesian_product2(sK5,sK3))
| in(sK2,sK3) ),
inference(definition_unfolding,[],[f42,f34]) ).
fof(f42,plain,
( in(sK2,sK3)
| in(ordered_pair(sK4,sK2),cartesian_product2(sK5,sK3)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( ~ in(sK4,sK5)
| ~ in(sK2,sK3)
| ~ in(ordered_pair(sK4,sK2),cartesian_product2(sK5,sK3)) )
& ( ( in(sK4,sK5)
& in(sK2,sK3) )
| in(ordered_pair(sK4,sK2),cartesian_product2(sK5,sK3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f30,f31]) ).
fof(f31,plain,
( ? [X0,X1,X2,X3] :
( ( ~ in(X2,X3)
| ~ in(X0,X1)
| ~ in(ordered_pair(X2,X0),cartesian_product2(X3,X1)) )
& ( ( in(X2,X3)
& in(X0,X1) )
| in(ordered_pair(X2,X0),cartesian_product2(X3,X1)) ) )
=> ( ( ~ in(sK4,sK5)
| ~ in(sK2,sK3)
| ~ in(ordered_pair(sK4,sK2),cartesian_product2(sK5,sK3)) )
& ( ( in(sK4,sK5)
& in(sK2,sK3) )
| in(ordered_pair(sK4,sK2),cartesian_product2(sK5,sK3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1,X2,X3] :
( ( ~ in(X2,X3)
| ~ in(X0,X1)
| ~ in(ordered_pair(X2,X0),cartesian_product2(X3,X1)) )
& ( ( in(X2,X3)
& in(X0,X1) )
| in(ordered_pair(X2,X0),cartesian_product2(X3,X1)) ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
? [X3,X0,X1,X2] :
( ( ~ in(X1,X2)
| ~ in(X3,X0)
| ~ in(ordered_pair(X1,X3),cartesian_product2(X2,X0)) )
& ( ( in(X1,X2)
& in(X3,X0) )
| in(ordered_pair(X1,X3),cartesian_product2(X2,X0)) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
? [X3,X0,X1,X2] :
( ( ~ in(X1,X2)
| ~ in(X3,X0)
| ~ in(ordered_pair(X1,X3),cartesian_product2(X2,X0)) )
& ( ( in(X1,X2)
& in(X3,X0) )
| in(ordered_pair(X1,X3),cartesian_product2(X2,X0)) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
? [X3,X0,X1,X2] :
( in(ordered_pair(X1,X3),cartesian_product2(X2,X0))
<~> ( in(X1,X2)
& in(X3,X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X3,X0,X1,X2] :
( ( in(X1,X2)
& in(X3,X0) )
<=> in(ordered_pair(X1,X3),cartesian_product2(X2,X0)) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X3,X0,X2,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X3,X0,X2,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f95,plain,
~ in(sK2,sK3),
inference(subsumption_resolution,[],[f87,f62]) ).
fof(f62,plain,
in(sK4,sK5),
inference(subsumption_resolution,[],[f61,f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,X0))
| in(X1,X2) ),
inference(forward_demodulation,[],[f46,f36]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X0)) ),
inference(definition_unfolding,[],[f39,f34]) ).
fof(f39,plain,
! [X2,X3,X0,X1] :
( in(X1,X2)
| ~ in(ordered_pair(X1,X3),cartesian_product2(X2,X0)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f61,plain,
( in(sK4,sK5)
| in(unordered_pair(singleton(sK4),unordered_pair(sK4,sK2)),cartesian_product2(sK5,sK3)) ),
inference(forward_demodulation,[],[f50,f36]) ).
fof(f50,plain,
( in(sK4,sK5)
| in(unordered_pair(unordered_pair(sK4,sK2),singleton(sK4)),cartesian_product2(sK5,sK3)) ),
inference(definition_unfolding,[],[f43,f34]) ).
fof(f43,plain,
( in(sK4,sK5)
| in(ordered_pair(sK4,sK2),cartesian_product2(sK5,sK3)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f87,plain,
( ~ in(sK4,sK5)
| ~ in(sK2,sK3) ),
inference(resolution,[],[f77,f58]) ).
fof(f58,plain,
~ in(unordered_pair(singleton(sK4),unordered_pair(sK2,sK4)),cartesian_product2(sK5,sK3)),
inference(forward_demodulation,[],[f57,f36]) ).
fof(f57,plain,
~ in(unordered_pair(singleton(sK4),unordered_pair(sK4,sK2)),cartesian_product2(sK5,sK3)),
inference(subsumption_resolution,[],[f56,f54]) ).
fof(f56,plain,
( ~ in(unordered_pair(singleton(sK4),unordered_pair(sK4,sK2)),cartesian_product2(sK5,sK3))
| ~ in(sK4,sK5) ),
inference(subsumption_resolution,[],[f55,f52]) ).
fof(f55,plain,
( ~ in(sK4,sK5)
| ~ in(sK2,sK3)
| ~ in(unordered_pair(singleton(sK4),unordered_pair(sK4,sK2)),cartesian_product2(sK5,sK3)) ),
inference(forward_demodulation,[],[f49,f36]) ).
fof(f49,plain,
( ~ in(sK2,sK3)
| ~ in(sK4,sK5)
| ~ in(unordered_pair(unordered_pair(sK4,sK2),singleton(sK4)),cartesian_product2(sK5,sK3)) ),
inference(definition_unfolding,[],[f44,f34]) ).
fof(f44,plain,
( ~ in(sK4,sK5)
| ~ in(sK2,sK3)
| ~ in(ordered_pair(sK4,sK2),cartesian_product2(sK5,sK3)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(superposition,[],[f63,f36]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,X0))
| ~ in(X3,X0)
| ~ in(X1,X2) ),
inference(forward_demodulation,[],[f45,f36]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X0))
| ~ in(X1,X2)
| ~ in(X3,X0) ),
inference(definition_unfolding,[],[f40,f34]) ).
fof(f40,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X1,X3),cartesian_product2(X2,X0))
| ~ in(X1,X2)
| ~ in(X3,X0) ),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU165+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.13/0.34 % Computer : n020.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 14:46:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (5249)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)
% 0.20/0.50 % (5243)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 (2999ds/191324Mi)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.50 TRYING [3]
% 0.20/0.51 % (5254)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (5265)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)
% 0.20/0.51 % (5251)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 % (5251)Instruction limit reached!
% 0.20/0.51 % (5251)------------------------------
% 0.20/0.51 % (5251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (5251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (5251)Termination reason: Unknown
% 0.20/0.51 % (5251)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (5251)Memory used [KB]: 5373
% 0.20/0.51 % (5251)Time elapsed: 0.107 s
% 0.20/0.51 % (5251)Instructions burned: 2 (million)
% 0.20/0.51 % (5251)------------------------------
% 0.20/0.51 % (5251)------------------------------
% 0.20/0.51 % (5248)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (5258)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)
% 0.20/0.51 % (5266)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)
% 0.20/0.51 % (5264)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (5264)First to succeed.
% 0.20/0.52 % (5257)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)
% 0.20/0.52 % (5264)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (5264)------------------------------
% 0.20/0.52 % (5264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (5264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (5264)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (5264)Memory used [KB]: 5500
% 0.20/0.52 % (5264)Time elapsed: 0.112 s
% 0.20/0.52 % (5264)Instructions burned: 4 (million)
% 0.20/0.52 % (5264)------------------------------
% 0.20/0.52 % (5264)------------------------------
% 0.20/0.52 % (5242)Success in time 0.167 s
%------------------------------------------------------------------------------