TSTP Solution File: SEU173+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU173+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 : 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 18:32:20 EDT 2022
% Result : Theorem 1.64s 0.79s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 5 unt; 0 def)
% Number of atoms : 147 ( 8 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 175 ( 67 ~; 59 |; 31 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 85 ( 73 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f956,plain,
$false,
inference(subsumption_resolution,[],[f955,f716]) ).
fof(f716,plain,
~ subset(sK10,sK9),
inference(resolution,[],[f614,f654]) ).
fof(f654,plain,
~ in(sK10,powerset(sK9)),
inference(resolution,[],[f639,f435]) ).
fof(f435,plain,
~ element(sK10,powerset(sK9)),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
( ~ element(sK10,powerset(sK9))
& ! [X2] :
( in(X2,sK9)
| ~ in(X2,sK10) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f281,f282]) ).
fof(f282,plain,
( ? [X0,X1] :
( ~ element(X1,powerset(X0))
& ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) ) )
=> ( ~ element(sK10,powerset(sK9))
& ! [X2] :
( in(X2,sK9)
| ~ in(X2,sK10) ) ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
? [X0,X1] :
( ~ element(X1,powerset(X0))
& ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) ) ),
inference(rectify,[],[f209]) ).
fof(f209,plain,
? [X1,X0] :
( ~ element(X0,powerset(X1))
& ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
inference(negated_conjecture,[],[f55]) ).
fof(f55,conjecture,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l71_subset_1) ).
fof(f639,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,X0) ),
inference(subsumption_resolution,[],[f378,f423]) ).
fof(f423,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(rectify,[],[f201]) ).
fof(f201,plain,
! [X1,X0] :
( ~ empty(X0)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f153]) ).
fof(f153,plain,
! [X1,X0] :
~ ( in(X1,X0)
& empty(X0) ),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X1,X0] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f378,plain,
! [X0,X1] :
( element(X1,X0)
| empty(X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( ( ( ( element(X1,X0)
| ~ empty(X1) )
& ( empty(X1)
| ~ element(X1,X0) ) )
| ~ empty(X0) )
& ( empty(X0)
| ( ( in(X1,X0)
| ~ element(X1,X0) )
& ( element(X1,X0)
| ~ in(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1] :
( ( ( element(X1,X0)
<=> empty(X1) )
| ~ empty(X0) )
& ( empty(X0)
| ( in(X1,X0)
<=> element(X1,X0) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( ( ~ empty(X0)
=> ( in(X1,X0)
<=> element(X1,X0) ) )
& ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f614,plain,
! [X3,X0] :
( in(X3,powerset(X0))
| ~ subset(X3,X0) ),
inference(equality_resolution,[],[f471]) ).
fof(f471,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f314]) ).
fof(f314,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ( ( ~ subset(sK15(X0,X1),X0)
| ~ in(sK15(X0,X1),X1) )
& ( subset(sK15(X0,X1),X0)
| in(sK15(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f312,f313]) ).
fof(f313,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) )
=> ( ( ~ subset(sK15(X0,X1),X0)
| ~ in(sK15(X0,X1),X1) )
& ( subset(sK15(X0,X1),X0)
| in(sK15(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f312,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f311]) ).
fof(f311,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( powerset(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f955,plain,
subset(sK10,sK9),
inference(duplicate_literal_removal,[],[f951]) ).
fof(f951,plain,
( subset(sK10,sK9)
| subset(sK10,sK9) ),
inference(resolution,[],[f889,f446]) ).
fof(f446,plain,
! [X0,X1] :
( ~ in(sK11(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( in(sK11(X0,X1),X1)
& ~ in(sK11(X0,X1),X0) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| in(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f291,f292]) ).
fof(f292,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) )
=> ( in(sK11(X0,X1),X1)
& ~ in(sK11(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| in(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f290]) ).
fof(f290,plain,
! [X1,X0] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f889,plain,
! [X14] :
( in(sK11(X14,sK10),sK9)
| subset(sK10,X14) ),
inference(resolution,[],[f447,f434]) ).
fof(f434,plain,
! [X2] :
( ~ in(X2,sK10)
| in(X2,sK9) ),
inference(cnf_transformation,[],[f283]) ).
fof(f447,plain,
! [X0,X1] :
( in(sK11(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU173+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % 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 14:31:31 EDT 2022
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% 0.92/0.66 % (20728)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 0.92/0.67 % (20719)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 0.92/0.67 % (20706)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.27/0.67 % (20737)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 (2998ds/355Mi)
% 1.27/0.68 % (20735)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 (2998ds/177Mi)
% 1.27/0.69 % (20725)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 (2998ds/100Mi)
% 1.27/0.69 % (20717)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.27/0.70 % (20734)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 (2998ds/68Mi)
% 1.27/0.70 % (20727)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 (2998ds/176Mi)
% 1.27/0.70 % (20709)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.48/0.70 % (20708)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.48/0.71 % (20707)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 (2998ds/37Mi)
% 1.48/0.71 % (20710)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 (2998ds/48Mi)
% 1.48/0.71 % (20733)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.48/0.71 % (20711)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.48/0.71 % (20718)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.48/0.71 % (20705)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 (2998ds/191324Mi)
% 1.48/0.71 % (20723)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.48/0.71 % (20713)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.48/0.71 % (20731)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 (2998ds/467Mi)
% 1.48/0.71 % (20736)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.48/0.71 % (20721)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 (2998ds/75Mi)
% 1.48/0.72 % (20722)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 (2998ds/99Mi)
% 1.48/0.72 % (20730)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 (2998ds/498Mi)
% 1.48/0.72 % (20720)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 (2998ds/68Mi)
% 1.48/0.72 % (20724)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.48/0.72 % (20714)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 (2998ds/51Mi)
% 1.48/0.72 % (20712)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.48/0.72 % (20732)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.64/0.73 % (20713)Instruction limit reached!
% 1.64/0.73 % (20713)------------------------------
% 1.64/0.73 % (20713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.73 % (20713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.73 % (20713)Termination reason: Unknown
% 1.64/0.73 % (20713)Termination phase: Preprocessing 3
% 1.64/0.73
% 1.64/0.73 % (20713)Memory used [KB]: 1023
% 1.64/0.73 % (20713)Time elapsed: 0.004 s
% 1.64/0.73 % (20713)Instructions burned: 3 (million)
% 1.64/0.73 % (20713)------------------------------
% 1.64/0.73 % (20713)------------------------------
% 1.64/0.74 % (20716)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.64/0.74 % (20712)Instruction limit reached!
% 1.64/0.74 % (20712)------------------------------
% 1.64/0.74 % (20712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.74 TRYING [1]
% 1.64/0.74 TRYING [1]
% 1.64/0.74 % (20706)Instruction limit reached!
% 1.64/0.74 % (20706)------------------------------
% 1.64/0.74 % (20706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.74 % (20706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.74 % (20706)Termination reason: Unknown
% 1.64/0.74 % (20706)Termination phase: Saturation
% 1.64/0.74
% 1.64/0.74 % (20706)Memory used [KB]: 6268
% 1.64/0.74 % (20706)Time elapsed: 0.139 s
% 1.64/0.74 % (20706)Instructions burned: 50 (million)
% 1.64/0.74 % (20706)------------------------------
% 1.64/0.74 % (20706)------------------------------
% 1.64/0.75 TRYING [1]
% 1.64/0.75 % (20712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.75 % (20712)Termination reason: Unknown
% 1.64/0.75 % (20712)Termination phase: Saturation
% 1.64/0.75
% 1.64/0.75 % (20712)Memory used [KB]: 5756
% 1.64/0.75 % (20712)Time elapsed: 0.009 s
% 1.64/0.75 % (20712)Instructions burned: 8 (million)
% 1.64/0.75 % (20712)------------------------------
% 1.64/0.75 % (20712)------------------------------
% 1.64/0.75 TRYING [2]
% 1.64/0.76 % (20731)First to succeed.
% 1.64/0.76 TRYING [2]
% 1.64/0.76 TRYING [2]
% 1.64/0.77 % (20707)Instruction limit reached!
% 1.64/0.77 % (20707)------------------------------
% 1.64/0.77 % (20707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.79 % (20717)Also succeeded, but the first one will report.
% 1.64/0.79 % (20707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.79 % (20707)Termination reason: Unknown
% 1.64/0.79 % (20707)Termination phase: Saturation
% 1.64/0.79
% 1.64/0.79 % (20707)Memory used [KB]: 1663
% 1.64/0.79 % (20707)Time elapsed: 0.181 s
% 1.64/0.79 % (20707)Instructions burned: 38 (million)
% 1.64/0.79 % (20707)------------------------------
% 1.64/0.79 % (20707)------------------------------
% 1.64/0.79 % (20731)Refutation found. Thanks to Tanya!
% 1.64/0.79 % SZS status Theorem for theBenchmark
% 1.64/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.79 % (20731)------------------------------
% 1.64/0.79 % (20731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.79 % (20731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.79 % (20731)Termination reason: Refutation
% 1.64/0.79
% 1.64/0.79 % (20731)Memory used [KB]: 6140
% 1.64/0.79 % (20731)Time elapsed: 0.129 s
% 1.64/0.79 % (20731)Instructions burned: 28 (million)
% 1.64/0.79 % (20731)------------------------------
% 1.64/0.79 % (20731)------------------------------
% 1.64/0.79 % (20505)Success in time 0.43 s
%------------------------------------------------------------------------------