TSTP Solution File: SEU019+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU019+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 : n015.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 18:31:45 EDT 2022
% Result : Theorem 0.11s 0.41s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 64 ( 24 unt; 0 def)
% Number of atoms : 232 ( 84 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 281 ( 113 ~; 110 |; 42 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 80 ( 68 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f416,plain,
$false,
inference(subsumption_resolution,[],[f415,f167]) ).
fof(f167,plain,
relation(sF13),
inference(superposition,[],[f123,f152]) ).
fof(f152,plain,
sF13 = identity_relation(sK9),
introduced(function_definition,[]) ).
fof(f123,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( function(identity_relation(X0))
& relation(identity_relation(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f415,plain,
~ relation(sF13),
inference(subsumption_resolution,[],[f414,f166]) ).
fof(f166,plain,
function(sF13),
inference(superposition,[],[f124,f152]) ).
fof(f124,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f414,plain,
( ~ function(sF13)
| ~ relation(sF13) ),
inference(subsumption_resolution,[],[f413,f153]) ).
fof(f153,plain,
~ one_to_one(sF13),
inference(definition_folding,[],[f132,f152]) ).
fof(f132,plain,
~ one_to_one(identity_relation(sK9)),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
~ one_to_one(identity_relation(sK9)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f60,f89]) ).
fof(f89,plain,
( ? [X0] : ~ one_to_one(identity_relation(X0))
=> ~ one_to_one(identity_relation(sK9)) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
? [X0] : ~ one_to_one(identity_relation(X0)),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X0] : one_to_one(identity_relation(X0)),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X0] : one_to_one(identity_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_funct_1) ).
fof(f413,plain,
( one_to_one(sF13)
| ~ relation(sF13)
| ~ function(sF13) ),
inference(trivial_inequality_removal,[],[f411]) ).
fof(f411,plain,
( ~ function(sF13)
| one_to_one(sF13)
| ~ relation(sF13)
| sK10(sF13) != sK10(sF13) ),
inference(superposition,[],[f135,f359]) ).
fof(f359,plain,
sK10(sF13) = sK11(sF13),
inference(backward_demodulation,[],[f344,f358]) ).
fof(f358,plain,
apply(sF13,sK10(sF13)) = sK10(sF13),
inference(forward_demodulation,[],[f354,f152]) ).
fof(f354,plain,
apply(identity_relation(sK9),sK10(sF13)) = sK10(sF13),
inference(resolution,[],[f258,f157]) ).
fof(f157,plain,
! [X3,X0] :
( ~ in(X3,X0)
| apply(identity_relation(X0),X3) = X3 ),
inference(subsumption_resolution,[],[f156,f123]) ).
fof(f156,plain,
! [X3,X0] :
( ~ in(X3,X0)
| apply(identity_relation(X0),X3) = X3
| ~ relation(identity_relation(X0)) ),
inference(subsumption_resolution,[],[f151,f124]) ).
fof(f151,plain,
! [X3,X0] :
( ~ function(identity_relation(X0))
| ~ relation(identity_relation(X0))
| ~ in(X3,X0)
| apply(identity_relation(X0),X3) = X3 ),
inference(equality_resolution,[],[f107]) ).
fof(f107,plain,
! [X3,X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X0)
| apply(X1,X3) = X3
| identity_relation(X0) != X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ( ( identity_relation(X0) = X1
| relation_dom(X1) != X0
| ( in(sK1(X0,X1),X0)
& apply(X1,sK1(X0,X1)) != sK1(X0,X1) ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( ~ in(X3,X0)
| apply(X1,X3) = X3 ) )
| identity_relation(X0) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f70,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 )
=> ( in(sK1(X0,X1),X0)
& apply(X1,sK1(X0,X1)) != sK1(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ( ( identity_relation(X0) = X1
| relation_dom(X1) != X0
| ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( ~ in(X3,X0)
| apply(X1,X3) = X3 ) )
| identity_relation(X0) != X1 ) ) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ~ function(X0)
| ~ relation(X0)
| ( ( identity_relation(X1) = X0
| relation_dom(X0) != X1
| ? [X2] :
( in(X2,X1)
& apply(X0,X2) != X2 ) )
& ( ( relation_dom(X0) = X1
& ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 ) )
| identity_relation(X1) != X0 ) ) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ~ function(X0)
| ~ relation(X0)
| ( ( identity_relation(X1) = X0
| relation_dom(X0) != X1
| ? [X2] :
( in(X2,X1)
& apply(X0,X2) != X2 ) )
& ( ( relation_dom(X0) = X1
& ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 ) )
| identity_relation(X1) != X0 ) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( ~ function(X0)
| ~ relation(X0)
| ( identity_relation(X1) = X0
<=> ( relation_dom(X0) = X1
& ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 ) ) ) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ( identity_relation(X1) = X0
<=> ( relation_dom(X0) = X1
& ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( ( function(X0)
& relation(X0) )
=> ( ( ! [X2] :
( in(X2,X1)
=> apply(X0,X2) = X2 )
& relation_dom(X0) = X1 )
<=> identity_relation(X1) = X0 ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& relation_dom(X1) = X0 )
<=> identity_relation(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f258,plain,
in(sK10(sF13),sK9),
inference(subsumption_resolution,[],[f257,f153]) ).
fof(f257,plain,
( one_to_one(sF13)
| in(sK10(sF13),sK9) ),
inference(subsumption_resolution,[],[f256,f167]) ).
fof(f256,plain,
( in(sK10(sF13),sK9)
| ~ relation(sF13)
| one_to_one(sF13) ),
inference(subsumption_resolution,[],[f255,f166]) ).
fof(f255,plain,
( in(sK10(sF13),sK9)
| ~ function(sF13)
| ~ relation(sF13)
| one_to_one(sF13) ),
inference(superposition,[],[f136,f185]) ).
fof(f185,plain,
relation_dom(sF13) = sK9,
inference(superposition,[],[f155,f152]) ).
fof(f155,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(subsumption_resolution,[],[f154,f123]) ).
fof(f154,plain,
! [X0] :
( ~ relation(identity_relation(X0))
| relation_dom(identity_relation(X0)) = X0 ),
inference(subsumption_resolution,[],[f150,f124]) ).
fof(f150,plain,
! [X0] :
( ~ function(identity_relation(X0))
| relation_dom(identity_relation(X0)) = X0
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| relation_dom(X1) = X0
| identity_relation(X0) != X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f136,plain,
! [X0] :
( in(sK10(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ function(X0)
| ( ( ! [X1,X2] :
( ~ in(X1,relation_dom(X0))
| X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ( in(sK10(X0),relation_dom(X0))
& sK11(X0) != sK10(X0)
& apply(X0,sK10(X0)) = apply(X0,sK11(X0))
& in(sK11(X0),relation_dom(X0)) ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f92,f93]) ).
fof(f93,plain,
! [X0] :
( ? [X3,X4] :
( in(X3,relation_dom(X0))
& X3 != X4
& apply(X0,X3) = apply(X0,X4)
& in(X4,relation_dom(X0)) )
=> ( in(sK10(X0),relation_dom(X0))
& sK11(X0) != sK10(X0)
& apply(X0,sK10(X0)) = apply(X0,sK11(X0))
& in(sK11(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ~ function(X0)
| ( ( ! [X1,X2] :
( ~ in(X1,relation_dom(X0))
| X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ? [X3,X4] :
( in(X3,relation_dom(X0))
& X3 != X4
& apply(X0,X3) = apply(X0,X4)
& in(X4,relation_dom(X0)) ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ~ function(X0)
| ( ( ! [X2,X1] :
( ~ in(X2,relation_dom(X0))
| X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ? [X2,X1] :
( in(X2,relation_dom(X0))
& X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X1,relation_dom(X0)) ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ~ function(X0)
| ( ! [X2,X1] :
( ~ in(X2,relation_dom(X0))
| X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0)) )
<=> one_to_one(X0) )
| ~ relation(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X2,X1] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X2,X1] :
( ( in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f344,plain,
apply(sF13,sK10(sF13)) = sK11(sF13),
inference(backward_demodulation,[],[f296,f343]) ).
fof(f343,plain,
sK11(sF13) = apply(sF13,sK11(sF13)),
inference(forward_demodulation,[],[f339,f152]) ).
fof(f339,plain,
sK11(sF13) = apply(identity_relation(sK9),sK11(sF13)),
inference(resolution,[],[f249,f157]) ).
fof(f249,plain,
in(sK11(sF13),sK9),
inference(subsumption_resolution,[],[f248,f166]) ).
fof(f248,plain,
( in(sK11(sF13),sK9)
| ~ function(sF13) ),
inference(subsumption_resolution,[],[f247,f153]) ).
fof(f247,plain,
( one_to_one(sF13)
| ~ function(sF13)
| in(sK11(sF13),sK9) ),
inference(subsumption_resolution,[],[f244,f167]) ).
fof(f244,plain,
( ~ relation(sF13)
| one_to_one(sF13)
| ~ function(sF13)
| in(sK11(sF13),sK9) ),
inference(superposition,[],[f133,f185]) ).
fof(f133,plain,
! [X0] :
( in(sK11(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f296,plain,
apply(sF13,sK10(sF13)) = apply(sF13,sK11(sF13)),
inference(subsumption_resolution,[],[f295,f153]) ).
fof(f295,plain,
( apply(sF13,sK10(sF13)) = apply(sF13,sK11(sF13))
| one_to_one(sF13) ),
inference(subsumption_resolution,[],[f267,f166]) ).
fof(f267,plain,
( ~ function(sF13)
| one_to_one(sF13)
| apply(sF13,sK10(sF13)) = apply(sF13,sK11(sF13)) ),
inference(resolution,[],[f134,f167]) ).
fof(f134,plain,
! [X0] :
( ~ relation(X0)
| apply(X0,sK10(X0)) = apply(X0,sK11(X0))
| ~ function(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f135,plain,
! [X0] :
( sK11(X0) != sK10(X0)
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU019+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.26 % Computer : n015.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Aug 30 14:46:35 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/0.36 % (6936)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.11/0.38 % (6947)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.11/0.38 % (6928)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 (3000ds/48Mi)
% 0.11/0.38 % (6939)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 (3000ds/99Mi)
% 0.11/0.39 % (6947)First to succeed.
% 0.11/0.39 % (6931)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.11/0.39 % (6931)Instruction limit reached!
% 0.11/0.39 % (6931)------------------------------
% 0.11/0.39 % (6931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.40 % (6946)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 (3000ds/467Mi)
% 0.11/0.40 % (6944)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.11/0.40 % (6937)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)
% 0.11/0.40 % (6926)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.11/0.40 % (6923)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)
% 0.11/0.40 % (6940)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.11/0.40 % (6927)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.11/0.40 % (6938)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)
% 0.11/0.41 % (6932)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)
% 0.11/0.41 % (6924)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)
% 0.11/0.41 % (6931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.41 % (6931)Termination reason: Unknown
% 0.11/0.41 % (6931)Termination phase: Saturation
% 0.11/0.41
% 0.11/0.41 % (6931)Memory used [KB]: 1023
% 0.11/0.41 % (6931)Time elapsed: 0.003 s
% 0.11/0.41 % (6931)Instructions burned: 3 (million)
% 0.11/0.41 % (6931)------------------------------
% 0.11/0.41 % (6931)------------------------------
% 0.11/0.41 TRYING [1]
% 0.11/0.41 % (6924)Refutation not found, incomplete strategy% (6924)------------------------------
% 0.11/0.41 % (6924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.41 % (6924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.41 % (6924)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.41
% 0.11/0.41 % (6924)Memory used [KB]: 5500
% 0.11/0.41 % (6924)Time elapsed: 0.099 s
% 0.11/0.41 % (6924)Instructions burned: 3 (million)
% 0.11/0.41 % (6924)------------------------------
% 0.11/0.41 % (6924)------------------------------
% 0.11/0.41 TRYING [2]
% 0.11/0.41 TRYING [1]
% 0.11/0.41 TRYING [3]
% 0.11/0.41 % (6947)Refutation found. Thanks to Tanya!
% 0.11/0.41 % SZS status Theorem for theBenchmark
% 0.11/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.41 % (6947)------------------------------
% 0.11/0.41 % (6947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.41 % (6947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.41 % (6947)Termination reason: Refutation
% 0.11/0.41
% 0.11/0.41 % (6947)Memory used [KB]: 5628
% 0.11/0.41 % (6947)Time elapsed: 0.088 s
% 0.11/0.41 % (6947)Instructions burned: 8 (million)
% 0.11/0.41 % (6947)------------------------------
% 0.11/0.41 % (6947)------------------------------
% 0.11/0.41 % (6921)Success in time 0.143 s
%------------------------------------------------------------------------------