TSTP Solution File: SEU188+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU188+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 : n029.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 18:32:24 EDT 2022
% Result : Theorem 0.17s 0.54s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 9 unt; 0 def)
% Number of atoms : 120 ( 28 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 117 ( 49 ~; 48 |; 7 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 15 ( 13 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f993,plain,
$false,
inference(avatar_sat_refutation,[],[f786,f937,f950,f952,f954,f961,f990]) ).
fof(f990,plain,
~ spl54_4,
inference(avatar_contradiction_clause,[],[f989]) ).
fof(f989,plain,
( $false
| ~ spl54_4 ),
inference(trivial_inequality_removal,[],[f987]) ).
fof(f987,plain,
( empty_set != empty_set
| ~ spl54_4 ),
inference(superposition,[],[f473,f973]) ).
fof(f973,plain,
( empty_set = sK19
| ~ spl54_4 ),
inference(resolution,[],[f819,f599]) ).
fof(f599,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(ennf_transformation,[],[f160]) ).
fof(f160,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f819,plain,
( empty(sK19)
| ~ spl54_4 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f818,plain,
( spl54_4
<=> empty(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_4])]) ).
fof(f473,plain,
empty_set != sK19,
inference(cnf_transformation,[],[f313]) ).
fof(f313,plain,
? [X0] :
( ( empty_set = relation_dom(X0)
| empty_set = relation_rng(X0) )
& empty_set != X0
& relation(X0) ),
inference(flattening,[],[f312]) ).
fof(f312,plain,
? [X0] :
( empty_set != X0
& ( empty_set = relation_dom(X0)
| empty_set = relation_rng(X0) )
& relation(X0) ),
inference(ennf_transformation,[],[f157]) ).
fof(f157,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( ( empty_set = relation_dom(X0)
| empty_set = relation_rng(X0) )
=> empty_set = X0 ) ),
inference(negated_conjecture,[],[f156]) ).
fof(f156,conjecture,
! [X0] :
( relation(X0)
=> ( ( empty_set = relation_dom(X0)
| empty_set = relation_rng(X0) )
=> empty_set = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relat_1) ).
fof(f961,plain,
( ~ spl54_7
| ~ spl54_1
| spl54_5 ),
inference(avatar_split_clause,[],[f960,f930,f779,f947]) ).
fof(f947,plain,
( spl54_7
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_7])]) ).
fof(f779,plain,
( spl54_1
<=> empty_set = sF53 ),
introduced(avatar_definition,[new_symbols(naming,[spl54_1])]) ).
fof(f930,plain,
( spl54_5
<=> empty(sF53) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_5])]) ).
fof(f960,plain,
( ~ empty(empty_set)
| ~ spl54_1
| spl54_5 ),
inference(superposition,[],[f932,f781]) ).
fof(f781,plain,
( empty_set = sF53
| ~ spl54_1 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f932,plain,
( ~ empty(sF53)
| spl54_5 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f954,plain,
spl54_7,
inference(avatar_contradiction_clause,[],[f953]) ).
fof(f953,plain,
( $false
| spl54_7 ),
inference(resolution,[],[f949,f522]) ).
fof(f522,plain,
empty(empty_set),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f949,plain,
( ~ empty(empty_set)
| spl54_7 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f952,plain,
spl54_6,
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f951,plain,
( $false
| spl54_6 ),
inference(resolution,[],[f936,f472]) ).
fof(f472,plain,
relation(sK19),
inference(cnf_transformation,[],[f313]) ).
fof(f936,plain,
( ~ relation(sK19)
| spl54_6 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f934,plain,
( spl54_6
<=> relation(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_6])]) ).
fof(f950,plain,
( ~ spl54_7
| ~ spl54_6
| spl54_4
| ~ spl54_2 ),
inference(avatar_split_clause,[],[f945,f783,f818,f934,f947]) ).
fof(f783,plain,
( spl54_2
<=> empty_set = sF52 ),
introduced(avatar_definition,[new_symbols(naming,[spl54_2])]) ).
fof(f945,plain,
( empty(sK19)
| ~ relation(sK19)
| ~ empty(empty_set)
| ~ spl54_2 ),
inference(forward_demodulation,[],[f944,f785]) ).
fof(f785,plain,
( empty_set = sF52
| ~ spl54_2 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f944,plain,
( ~ empty(sF52)
| ~ relation(sK19)
| empty(sK19) ),
inference(superposition,[],[f436,f772]) ).
fof(f772,plain,
relation_rng(sK19) = sF52,
introduced(function_definition,[]) ).
fof(f436,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( empty(X0)
| ~ relation(X0)
| ~ empty(relation_rng(X0)) ),
inference(flattening,[],[f327]) ).
fof(f327,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f937,plain,
( ~ spl54_5
| spl54_4
| ~ spl54_6 ),
inference(avatar_split_clause,[],[f928,f934,f818,f930]) ).
fof(f928,plain,
( ~ relation(sK19)
| empty(sK19)
| ~ empty(sF53) ),
inference(superposition,[],[f381,f773]) ).
fof(f773,plain,
sF53 = relation_dom(sK19),
introduced(function_definition,[]) ).
fof(f381,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f356,plain,
! [X0] :
( ~ relation(X0)
| empty(X0)
| ~ empty(relation_dom(X0)) ),
inference(flattening,[],[f355]) ).
fof(f355,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f786,plain,
( spl54_1
| spl54_2 ),
inference(avatar_split_clause,[],[f774,f783,f779]) ).
fof(f774,plain,
( empty_set = sF52
| empty_set = sF53 ),
inference(definition_folding,[],[f471,f773,f772]) ).
fof(f471,plain,
( empty_set = relation_rng(sK19)
| empty_set = relation_dom(sK19) ),
inference(cnf_transformation,[],[f313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU188+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 14:58:12 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.48 % (17494)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.48 % (17493)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)
% 0.17/0.49 % (17510)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)
% 0.17/0.49 % (17498)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)
% 0.17/0.50 % (17502)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)
% 0.17/0.50 % (17501)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)
% 0.17/0.50 % (17509)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)
% 0.17/0.50 % (17514)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)
% 0.17/0.50 % (17494)Instruction limit reached!
% 0.17/0.50 % (17494)------------------------------
% 0.17/0.50 % (17494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (17506)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.52 % (17494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (17494)Termination reason: Unknown
% 0.17/0.52 % (17494)Termination phase: Property scanning
% 0.17/0.52
% 0.17/0.52 % (17494)Memory used [KB]: 1407
% 0.17/0.52 % (17494)Time elapsed: 0.006 s
% 0.17/0.52 % (17494)Instructions burned: 8 (million)
% 0.17/0.52 % (17494)------------------------------
% 0.17/0.52 % (17494)------------------------------
% 0.17/0.53 % (17498)First to succeed.
% 0.17/0.54 % (17508)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.54 % (17507)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.54 % (17503)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)
% 0.17/0.54 % (17495)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.54 % (17495)Instruction limit reached!
% 0.17/0.54 % (17495)------------------------------
% 0.17/0.54 % (17495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (17495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (17495)Termination reason: Unknown
% 0.17/0.54 % (17495)Termination phase: Preprocessing 1
% 0.17/0.54
% 0.17/0.54 % (17495)Memory used [KB]: 1023
% 0.17/0.54 % (17495)Time elapsed: 0.002 s
% 0.17/0.54 % (17495)Instructions burned: 2 (million)
% 0.17/0.54 % (17495)------------------------------
% 0.17/0.54 % (17495)------------------------------
% 0.17/0.54 % (17497)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.54 % (17498)Refutation found. Thanks to Tanya!
% 0.17/0.54 % SZS status Theorem for theBenchmark
% 0.17/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.54 % (17498)------------------------------
% 0.17/0.54 % (17498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (17498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (17498)Termination reason: Refutation
% 0.17/0.54
% 0.17/0.54 % (17498)Memory used [KB]: 6012
% 0.17/0.54 % (17498)Time elapsed: 0.135 s
% 0.17/0.54 % (17498)Instructions burned: 22 (million)
% 0.17/0.54 % (17498)------------------------------
% 0.17/0.54 % (17498)------------------------------
% 0.17/0.54 % (17486)Success in time 0.203 s
%------------------------------------------------------------------------------