TSTP Solution File: SET082+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET082+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n007.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 18:23:35 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 92 ( 44 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 92 ( 32 ~; 25 |; 27 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 31 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f678,plain,
$false,
inference(subsumption_resolution,[],[f677,f289]) ).
fof(f289,plain,
null_class != sF7,
inference(definition_folding,[],[f273,f288]) ).
fof(f288,plain,
sF7 = unordered_pair(sK5,sK5),
introduced(function_definition,[]) ).
fof(f273,plain,
null_class != unordered_pair(sK5,sK5),
inference(definition_unfolding,[],[f214,f177]) ).
fof(f177,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f214,plain,
null_class != singleton(sK5),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( null_class != singleton(sK5)
& ~ member(sK5,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f80,f132]) ).
fof(f132,plain,
( ? [X0] :
( singleton(X0) != null_class
& ~ member(X0,universal_class) )
=> ( null_class != singleton(sK5)
& ~ member(sK5,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0] :
( singleton(X0) != null_class
& ~ member(X0,universal_class) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( ~ member(X0,universal_class)
=> singleton(X0) = null_class ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] :
( ~ member(X0,universal_class)
=> singleton(X0) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_is_null_class) ).
fof(f677,plain,
null_class = sF7,
inference(subsumption_resolution,[],[f675,f213]) ).
fof(f213,plain,
~ member(sK5,universal_class),
inference(cnf_transformation,[],[f133]) ).
fof(f675,plain,
( member(sK5,universal_class)
| null_class = sF7 ),
inference(superposition,[],[f165,f667]) ).
fof(f667,plain,
sK0(sF7) = sK5,
inference(subsumption_resolution,[],[f655,f289]) ).
fof(f655,plain,
( sK0(sF7) = sK5
| null_class = sF7 ),
inference(resolution,[],[f639,f167]) ).
fof(f167,plain,
! [X0] :
( member(sK0(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( member(sK0(X0),X0)
& disjoint(sK0(X0),X0)
& member(sK0(X0),universal_class) )
| null_class = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f83,f96]) ).
fof(f96,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& disjoint(X1,X0)
& member(X1,universal_class) )
=> ( member(sK0(X0),X0)
& disjoint(sK0(X0),X0)
& member(sK0(X0),universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& disjoint(X1,X0)
& member(X1,universal_class) )
| null_class = X0 ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( null_class != X0
=> ? [X1] :
( member(X1,X0)
& disjoint(X1,X0)
& member(X1,universal_class) ) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( null_class != X0
=> ? [X2] :
( disjoint(X2,X0)
& member(X2,X0)
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity) ).
fof(f639,plain,
! [X0] :
( ~ member(X0,sF7)
| sK5 = X0 ),
inference(duplicate_literal_removal,[],[f638]) ).
fof(f638,plain,
! [X0] :
( sK5 = X0
| sK5 = X0
| ~ member(X0,sF7) ),
inference(superposition,[],[f237,f288]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ( ( ( X0 = X1
| X0 = X2 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) )
& ( member(X0,unordered_pair(X1,X2))
| ( X0 != X1
& X0 != X2 )
| ~ member(X0,universal_class) ) ),
inference(rectify,[],[f146]) ).
fof(f146,plain,
! [X0,X2,X1] :
( ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X2,X1)) )
& ( member(X0,unordered_pair(X2,X1))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) ) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0,X2,X1] :
( ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X2,X1)) )
& ( member(X0,unordered_pair(X2,X1))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X2,X1] :
( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
<=> member(X0,unordered_pair(X2,X1)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X1,X0] :
( member(X2,unordered_pair(X0,X1))
<=> ( member(X2,universal_class)
& ( X1 = X2
| X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f165,plain,
! [X0] :
( member(sK0(X0),universal_class)
| null_class = X0 ),
inference(cnf_transformation,[],[f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET082+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13 % 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 : n007.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 12:55:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (17864)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (17860)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 % (17868)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (17861)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)
% 0.20/0.50 % (17868)Instruction limit reached!
% 0.20/0.50 % (17868)------------------------------
% 0.20/0.50 % (17868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (17868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (17868)Termination reason: Unknown
% 0.20/0.50 % (17868)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (17868)Memory used [KB]: 1023
% 0.20/0.50 % (17868)Time elapsed: 0.004 s
% 0.20/0.50 % (17868)Instructions burned: 3 (million)
% 0.20/0.50 % (17868)------------------------------
% 0.20/0.50 % (17868)------------------------------
% 0.20/0.51 % (17872)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (17875)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 % (17876)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)
% 0.20/0.51 % (17890)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (17866)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)
% 0.20/0.52 % (17863)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (17869)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)
% 0.20/0.52 % (17862)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)
% 0.20/0.52 % (17865)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)
% 0.20/0.52 % (17887)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (17877)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (17867)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (17884)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)
% 0.20/0.53 % (17861)Refutation not found, incomplete strategy% (17861)------------------------------
% 0.20/0.53 % (17861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (17861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (17861)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (17861)Memory used [KB]: 5628
% 0.20/0.53 % (17861)Time elapsed: 0.128 s
% 0.20/0.53 % (17861)Instructions burned: 10 (million)
% 0.20/0.53 % (17861)------------------------------
% 0.20/0.53 % (17861)------------------------------
% 0.20/0.53 % (17879)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (17871)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)
% 0.20/0.53 % (17891)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54 % (17882)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (17880)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)
% 0.20/0.54 % (17888)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)
% 0.20/0.54 % (17889)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)
% 0.20/0.54 % (17874)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)
% 0.20/0.54 % (17870)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (17873)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (17883)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)
% 0.20/0.55 % (17867)Instruction limit reached!
% 0.20/0.55 % (17867)------------------------------
% 0.20/0.55 % (17867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17867)Termination reason: Unknown
% 0.20/0.55 % (17867)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (17867)Memory used [KB]: 5500
% 0.20/0.55 % (17867)Time elapsed: 0.127 s
% 0.20/0.55 % (17867)Instructions burned: 7 (million)
% 0.20/0.55 % (17867)------------------------------
% 0.20/0.55 % (17867)------------------------------
% 0.20/0.55 % (17881)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)
% 0.20/0.56 % (17887)First to succeed.
% 0.20/0.56 % (17887)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (17887)------------------------------
% 0.20/0.56 % (17887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (17887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (17887)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (17887)Memory used [KB]: 5756
% 0.20/0.56 % (17887)Time elapsed: 0.162 s
% 0.20/0.56 % (17887)Instructions burned: 17 (million)
% 0.20/0.56 % (17887)------------------------------
% 0.20/0.56 % (17887)------------------------------
% 0.20/0.56 % (17855)Success in time 0.207 s
%------------------------------------------------------------------------------