TSTP Solution File: SEU160+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU160+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 : n026.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 18:32:14 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 8 unt; 0 def)
% Number of atoms : 133 ( 66 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 138 ( 52 ~; 60 |; 16 &)
% ( 8 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 33 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f561,plain,
$false,
inference(avatar_sat_refutation,[],[f526,f531,f536,f539,f560]) ).
fof(f560,plain,
( spl23_1
| ~ spl23_3 ),
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f559,plain,
( $false
| spl23_1
| ~ spl23_3 ),
inference(subsumption_resolution,[],[f521,f555]) ).
fof(f555,plain,
( ! [X1] : subset(sK20,unordered_pair(X1,X1))
| ~ spl23_3 ),
inference(backward_demodulation,[],[f490,f529]) ).
fof(f529,plain,
( empty_set = sK20
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f528,plain,
( spl23_3
<=> empty_set = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f490,plain,
! [X1] : subset(empty_set,unordered_pair(X1,X1)),
inference(equality_resolution,[],[f438]) ).
fof(f438,plain,
! [X0,X1] :
( subset(X0,unordered_pair(X1,X1))
| empty_set != X0 ),
inference(definition_unfolding,[],[f311,f348]) ).
fof(f348,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f311,plain,
! [X0,X1] :
( subset(X0,singleton(X1))
| empty_set != X0 ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( ( empty_set = X0
| singleton(X1) = X0
| ~ subset(X0,singleton(X1)) )
& ( subset(X0,singleton(X1))
| ( empty_set != X0
& singleton(X1) != X0 ) ) ),
inference(rectify,[],[f197]) ).
fof(f197,plain,
! [X1,X0] :
( ( empty_set = X1
| singleton(X0) = X1
| ~ subset(X1,singleton(X0)) )
& ( subset(X1,singleton(X0))
| ( empty_set != X1
& singleton(X0) != X1 ) ) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X1,X0] :
( ( empty_set = X1
| singleton(X0) = X1
| ~ subset(X1,singleton(X0)) )
& ( subset(X1,singleton(X0))
| ( empty_set != X1
& singleton(X0) != X1 ) ) ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X1,X0] :
( ( empty_set = X1
| singleton(X0) = X1 )
<=> subset(X1,singleton(X0)) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X1,X0] :
( ( singleton(X1) = X0
| empty_set = X0 )
<=> subset(X0,singleton(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_zfmisc_1) ).
fof(f521,plain,
( ~ subset(sK20,unordered_pair(sK19,sK19))
| spl23_1 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f519,plain,
( spl23_1
<=> subset(sK20,unordered_pair(sK19,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f539,plain,
( spl23_1
| ~ spl23_2 ),
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f538,plain,
( $false
| spl23_1
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f537,f389]) ).
fof(f389,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X1] : subset(X1,X1),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X1,X0] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f537,plain,
( ~ subset(sK20,sK20)
| spl23_1
| ~ spl23_2 ),
inference(forward_demodulation,[],[f521,f524]) ).
fof(f524,plain,
( unordered_pair(sK19,sK19) = sK20
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f523,plain,
( spl23_2
<=> unordered_pair(sK19,sK19) = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f536,plain,
( spl23_2
| spl23_3 ),
inference(avatar_split_clause,[],[f535,f528,f523]) ).
fof(f535,plain,
( empty_set = sK20
| unordered_pair(sK19,sK19) = sK20 ),
inference(subsumption_resolution,[],[f469,f437]) ).
fof(f437,plain,
! [X0,X1] :
( ~ subset(X0,unordered_pair(X1,X1))
| unordered_pair(X1,X1) = X0
| empty_set = X0 ),
inference(definition_unfolding,[],[f312,f348,f348]) ).
fof(f312,plain,
! [X0,X1] :
( empty_set = X0
| singleton(X1) = X0
| ~ subset(X0,singleton(X1)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f469,plain,
( subset(sK20,unordered_pair(sK19,sK19))
| unordered_pair(sK19,sK19) = sK20
| empty_set = sK20 ),
inference(definition_unfolding,[],[f402,f348,f348]) ).
fof(f402,plain,
( subset(sK20,singleton(sK19))
| sK20 = singleton(sK19)
| empty_set = sK20 ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
( ( ~ subset(sK20,singleton(sK19))
| ( sK20 != singleton(sK19)
& empty_set != sK20 ) )
& ( subset(sK20,singleton(sK19))
| sK20 = singleton(sK19)
| empty_set = sK20 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f269,f270]) ).
fof(f270,plain,
( ? [X0,X1] :
( ( ~ subset(X1,singleton(X0))
| ( singleton(X0) != X1
& empty_set != X1 ) )
& ( subset(X1,singleton(X0))
| singleton(X0) = X1
| empty_set = X1 ) )
=> ( ( ~ subset(sK20,singleton(sK19))
| ( sK20 != singleton(sK19)
& empty_set != sK20 ) )
& ( subset(sK20,singleton(sK19))
| sK20 = singleton(sK19)
| empty_set = sK20 ) ) ),
introduced(choice_axiom,[]) ).
fof(f269,plain,
? [X0,X1] :
( ( ~ subset(X1,singleton(X0))
| ( singleton(X0) != X1
& empty_set != X1 ) )
& ( subset(X1,singleton(X0))
| singleton(X0) = X1
| empty_set = X1 ) ),
inference(flattening,[],[f268]) ).
fof(f268,plain,
? [X0,X1] :
( ( ~ subset(X1,singleton(X0))
| ( singleton(X0) != X1
& empty_set != X1 ) )
& ( subset(X1,singleton(X0))
| singleton(X0) = X1
| empty_set = X1 ) ),
inference(nnf_transformation,[],[f166]) ).
fof(f166,plain,
? [X0,X1] :
( ( singleton(X0) = X1
| empty_set = X1 )
<~> subset(X1,singleton(X0)) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
~ ! [X0,X1] :
( ( singleton(X0) = X1
| empty_set = X1 )
<=> subset(X1,singleton(X0)) ),
inference(rectify,[],[f71]) ).
fof(f71,negated_conjecture,
~ ! [X1,X0] :
( ( empty_set = X0
| singleton(X1) = X0 )
<=> subset(X0,singleton(X1)) ),
inference(negated_conjecture,[],[f70]) ).
fof(f70,conjecture,
! [X1,X0] :
( ( empty_set = X0
| singleton(X1) = X0 )
<=> subset(X0,singleton(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(f531,plain,
( ~ spl23_3
| ~ spl23_1 ),
inference(avatar_split_clause,[],[f468,f519,f528]) ).
fof(f468,plain,
( ~ subset(sK20,unordered_pair(sK19,sK19))
| empty_set != sK20 ),
inference(definition_unfolding,[],[f403,f348]) ).
fof(f403,plain,
( ~ subset(sK20,singleton(sK19))
| empty_set != sK20 ),
inference(cnf_transformation,[],[f271]) ).
fof(f526,plain,
( ~ spl23_1
| ~ spl23_2 ),
inference(avatar_split_clause,[],[f467,f523,f519]) ).
fof(f467,plain,
( unordered_pair(sK19,sK19) != sK20
| ~ subset(sK20,unordered_pair(sK19,sK19)) ),
inference(definition_unfolding,[],[f404,f348,f348]) ).
fof(f404,plain,
( ~ subset(sK20,singleton(sK19))
| sK20 != singleton(sK19) ),
inference(cnf_transformation,[],[f271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU160+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.33 % Computer : n026.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:57:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (31314)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 % (31331)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 % (31323)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 % (31315)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (31310)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)
% 0.20/0.51 % (31315)Instruction limit reached!
% 0.20/0.51 % (31315)------------------------------
% 0.20/0.51 % (31315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (31315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (31315)Termination reason: Unknown
% 0.20/0.51 % (31315)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (31315)Memory used [KB]: 5628
% 0.20/0.51 % (31315)Time elapsed: 0.005 s
% 0.20/0.51 % (31315)Instructions burned: 7 (million)
% 0.20/0.51 % (31315)------------------------------
% 0.20/0.51 % (31315)------------------------------
% 0.20/0.52 % (31322)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 % (31309)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)
% 0.20/0.52 % (31312)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (31313)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)
% 0.20/0.53 % (31330)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)
% 0.20/0.53 % (31331)First to succeed.
% 0.20/0.53 % (31328)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)
% 0.20/0.53 % (31327)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)
% 0.20/0.53 % (31308)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)
% 0.20/0.53 % (31333)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (31337)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (31317)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)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (31320)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (31319)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 % (31318)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (31331)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (31331)------------------------------
% 0.20/0.53 % (31331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (31331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (31331)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (31331)Memory used [KB]: 5756
% 0.20/0.53 % (31331)Time elapsed: 0.017 s
% 0.20/0.53 % (31331)Instructions burned: 12 (million)
% 0.20/0.53 % (31331)------------------------------
% 0.20/0.53 % (31331)------------------------------
% 0.20/0.53 % (31307)Success in time 0.186 s
%------------------------------------------------------------------------------