TSTP Solution File: SEU189+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU189+2 : 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 : n017.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 18:32:25 EDT 2022
% Result : Theorem 1.42s 0.55s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 3 unt; 0 def)
% Number of atoms : 141 ( 43 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 150 ( 61 ~; 58 |; 18 &)
% ( 4 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 25 ( 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1193,plain,
$false,
inference(avatar_sat_refutation,[],[f982,f983,f1176,f1192]) ).
fof(f1192,plain,
( ~ spl53_1
| spl53_2 ),
inference(avatar_contradiction_clause,[],[f1191]) ).
fof(f1191,plain,
( $false
| ~ spl53_1
| spl53_2 ),
inference(subsumption_resolution,[],[f1188,f981]) ).
fof(f981,plain,
( empty_set != relation_dom(sK49)
| spl53_2 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f979,plain,
( spl53_2
<=> empty_set = relation_dom(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).
fof(f1188,plain,
( empty_set = relation_dom(sK49)
| ~ spl53_1 ),
inference(resolution,[],[f1183,f1004]) ).
fof(f1004,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(X0) ),
inference(resolution,[],[f826,f593]) ).
fof(f593,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ~ empty(X0)
| ( empty(relation_dom(X0))
& relation(relation_dom(X0)) ) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( empty(X0)
=> ( empty(relation_dom(X0))
& relation(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f826,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f161]) ).
fof(f161,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f1183,plain,
( empty(sK49)
| ~ spl53_1 ),
inference(subsumption_resolution,[],[f1182,f822]) ).
fof(f822,plain,
relation(sK49),
inference(cnf_transformation,[],[f554]) ).
fof(f554,plain,
( relation(sK49)
& ( empty_set != relation_dom(sK49)
| empty_set != relation_rng(sK49) )
& ( empty_set = relation_dom(sK49)
| empty_set = relation_rng(sK49) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f552,f553]) ).
fof(f553,plain,
( ? [X0] :
( relation(X0)
& ( empty_set != relation_dom(X0)
| empty_set != relation_rng(X0) )
& ( empty_set = relation_dom(X0)
| empty_set = relation_rng(X0) ) )
=> ( relation(sK49)
& ( empty_set != relation_dom(sK49)
| empty_set != relation_rng(sK49) )
& ( empty_set = relation_dom(sK49)
| empty_set = relation_rng(sK49) ) ) ),
introduced(choice_axiom,[]) ).
fof(f552,plain,
? [X0] :
( relation(X0)
& ( empty_set != relation_dom(X0)
| empty_set != relation_rng(X0) )
& ( empty_set = relation_dom(X0)
| empty_set = relation_rng(X0) ) ),
inference(flattening,[],[f551]) ).
fof(f551,plain,
? [X0] :
( relation(X0)
& ( empty_set != relation_dom(X0)
| empty_set != relation_rng(X0) )
& ( empty_set = relation_dom(X0)
| empty_set = relation_rng(X0) ) ),
inference(nnf_transformation,[],[f334]) ).
fof(f334,plain,
? [X0] :
( relation(X0)
& ( empty_set = relation_rng(X0)
<~> empty_set = relation_dom(X0) ) ),
inference(ennf_transformation,[],[f158]) ).
fof(f158,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( empty_set = relation_dom(X0)
<=> empty_set = relation_rng(X0) ) ),
inference(negated_conjecture,[],[f157]) ).
fof(f157,conjecture,
! [X0] :
( relation(X0)
=> ( empty_set = relation_dom(X0)
<=> empty_set = relation_rng(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_relat_1) ).
fof(f1182,plain,
( empty(sK49)
| ~ relation(sK49)
| ~ spl53_1 ),
inference(subsumption_resolution,[],[f1181,f705]) ).
fof(f705,plain,
empty(empty_set),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f1181,plain,
( empty(sK49)
| ~ empty(empty_set)
| ~ relation(sK49)
| ~ spl53_1 ),
inference(superposition,[],[f824,f976]) ).
fof(f976,plain,
( empty_set = relation_rng(sK49)
| ~ spl53_1 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f975,plain,
( spl53_1
<=> empty_set = relation_rng(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_1])]) ).
fof(f824,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f364,plain,
! [X0] :
( empty(X0)
| ~ empty(relation_rng(X0))
| ~ relation(X0) ),
inference(flattening,[],[f363]) ).
fof(f363,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f1176,plain,
( spl53_1
| ~ spl53_2 ),
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1175,plain,
( $false
| spl53_1
| ~ spl53_2 ),
inference(subsumption_resolution,[],[f1173,f977]) ).
fof(f977,plain,
( empty_set != relation_rng(sK49)
| spl53_1 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f1173,plain,
( empty_set = relation_rng(sK49)
| ~ spl53_2 ),
inference(resolution,[],[f1167,f1005]) ).
fof(f1005,plain,
! [X1] :
( ~ empty(X1)
| empty_set = relation_rng(X1) ),
inference(resolution,[],[f826,f759]) ).
fof(f759,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ( relation(relation_rng(X0))
& empty(relation_rng(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_rng(X0))
& empty(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_relat_1) ).
fof(f1167,plain,
( empty(sK49)
| ~ spl53_2 ),
inference(subsumption_resolution,[],[f1166,f822]) ).
fof(f1166,plain,
( ~ relation(sK49)
| empty(sK49)
| ~ spl53_2 ),
inference(subsumption_resolution,[],[f1164,f705]) ).
fof(f1164,plain,
( empty(sK49)
| ~ empty(empty_set)
| ~ relation(sK49)
| ~ spl53_2 ),
inference(superposition,[],[f809,f980]) ).
fof(f980,plain,
( empty_set = relation_dom(sK49)
| ~ spl53_2 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f809,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f983,plain,
( spl53_1
| spl53_2 ),
inference(avatar_split_clause,[],[f820,f979,f975]) ).
fof(f820,plain,
( empty_set = relation_dom(sK49)
| empty_set = relation_rng(sK49) ),
inference(cnf_transformation,[],[f554]) ).
fof(f982,plain,
( ~ spl53_1
| ~ spl53_2 ),
inference(avatar_split_clause,[],[f821,f979,f975]) ).
fof(f821,plain,
( empty_set != relation_dom(sK49)
| empty_set != relation_rng(sK49) ),
inference(cnf_transformation,[],[f554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU189+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % 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 : n017.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:12:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.48 % (10688)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 % (10706)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.50 % (10697)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)
% 0.20/0.51 % (10710)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (10693)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)
% 1.24/0.52 % (10701)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.24/0.52 % (10714)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.24/0.52 % (10698)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.24/0.52 % (10713)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.24/0.53 % (10694)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)
% 1.24/0.53 % (10704)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)
% 1.24/0.53 % (10715)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)
% 1.42/0.54 % (10695)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.54 % (10700)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.54 % (10690)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)
% 1.42/0.54 % (10699)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)
% 1.42/0.54 % (10696)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.54 % (10696)Instruction limit reached!
% 1.42/0.54 % (10696)------------------------------
% 1.42/0.54 % (10696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (10696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (10696)Termination reason: Unknown
% 1.42/0.54 % (10696)Termination phase: Preprocessing 3
% 1.42/0.54
% 1.42/0.54 % (10696)Memory used [KB]: 1151
% 1.42/0.54 % (10696)Time elapsed: 0.003 s
% 1.42/0.54 % (10696)Instructions burned: 3 (million)
% 1.42/0.54 % (10696)------------------------------
% 1.42/0.54 % (10696)------------------------------
% 1.42/0.54 % (10703)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)
% 1.42/0.54 % (10693)First to succeed.
% 1.42/0.54 % (10716)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.42/0.55 % (10693)Refutation found. Thanks to Tanya!
% 1.42/0.55 % SZS status Theorem for theBenchmark
% 1.42/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.55 % (10693)------------------------------
% 1.42/0.55 % (10693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (10693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (10693)Termination reason: Refutation
% 1.42/0.55
% 1.42/0.55 % (10693)Memory used [KB]: 6140
% 1.42/0.55 % (10693)Time elapsed: 0.125 s
% 1.42/0.55 % (10693)Instructions burned: 24 (million)
% 1.42/0.55 % (10693)------------------------------
% 1.42/0.55 % (10693)------------------------------
% 1.42/0.55 % (10684)Success in time 0.191 s
%------------------------------------------------------------------------------