TSTP Solution File: SEU230+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU230+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 : n021.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 18:32:41 EDT 2022
% Result : Theorem 1.42s 0.62s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 22 unt; 0 def)
% Number of atoms : 32 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 2 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 29 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2420,plain,
$false,
inference(resolution,[],[f2419,f1309]) ).
fof(f1309,plain,
~ in(sK8,sF91),
inference(definition_folding,[],[f1080,f1308,f1307]) ).
fof(f1307,plain,
unordered_pair(sK8,sK8) = sF90,
introduced(function_definition,[]) ).
fof(f1308,plain,
sF91 = set_union2(sK8,sF90),
introduced(function_definition,[]) ).
fof(f1080,plain,
~ in(sK8,set_union2(sK8,unordered_pair(sK8,sK8))),
inference(definition_unfolding,[],[f649,f1062]) ).
fof(f1062,plain,
! [X0] : succ(X0) = set_union2(X0,unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f1004,f724]) ).
fof(f724,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f233]) ).
fof(f233,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f1004,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(f649,plain,
~ in(sK8,succ(sK8)),
inference(cnf_transformation,[],[f414]) ).
fof(f414,plain,
? [X0] : ~ in(X0,succ(X0)),
inference(ennf_transformation,[],[f144]) ).
fof(f144,negated_conjecture,
~ ! [X0] : in(X0,succ(X0)),
inference(negated_conjecture,[],[f143]) ).
fof(f143,conjecture,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_ordinal1) ).
fof(f2419,plain,
in(sK8,sF91),
inference(resolution,[],[f2411,f1784]) ).
fof(f1784,plain,
subset(sF90,sF91),
inference(superposition,[],[f1772,f1308]) ).
fof(f1772,plain,
! [X8,X7] : subset(X7,set_union2(X8,X7)),
inference(superposition,[],[f741,f1031]) ).
fof(f1031,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f741,plain,
! [X0,X1] : subset(X1,set_union2(X1,X0)),
inference(cnf_transformation,[],[f358]) ).
fof(f358,plain,
! [X0,X1] : subset(X1,set_union2(X1,X0)),
inference(rectify,[],[f242]) ).
fof(f242,axiom,
! [X1,X0] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f2411,plain,
! [X0] :
( ~ subset(sF90,X0)
| in(sK8,X0) ),
inference(superposition,[],[f779,f1307]) ).
fof(f779,plain,
! [X2,X0,X1] :
( ~ subset(unordered_pair(X0,X2),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X1,X0,X2] :
( subset(unordered_pair(X0,X2),X1)
<=> ( in(X2,X1)
& in(X0,X1) ) ),
inference(rectify,[],[f195]) ).
fof(f195,axiom,
! [X0,X2,X1] :
( subset(unordered_pair(X0,X1),X2)
<=> ( in(X0,X2)
& in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU230+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:50:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (2906)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)
% 0.19/0.50 % (2923)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)
% 0.19/0.51 % (2902)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)
% 0.19/0.51 % (2914)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)
% 0.19/0.51 % (2901)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)
% 0.19/0.51 % (2905)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)
% 0.19/0.51 % (2924)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)
% 0.19/0.51 % (2903)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)
% 1.29/0.51 % (2927)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)
% 1.29/0.52 % (2908)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.29/0.52 % (2915)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)
% 1.29/0.52 % (2918)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.29/0.52 % (2908)Instruction limit reached!
% 1.29/0.52 % (2908)------------------------------
% 1.29/0.52 % (2908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (2908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (2908)Termination reason: Unknown
% 1.29/0.52 % (2908)Termination phase: Preprocessing 1
% 1.29/0.52
% 1.29/0.52 % (2908)Memory used [KB]: 1151
% 1.29/0.52 % (2908)Time elapsed: 0.003 s
% 1.29/0.52 % (2908)Instructions burned: 3 (million)
% 1.29/0.52 % (2908)------------------------------
% 1.29/0.52 % (2908)------------------------------
% 1.29/0.52 % (2907)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.29/0.52 % (2920)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)
% 1.29/0.52 % (2900)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)
% 1.29/0.52 % (2907)Instruction limit reached!
% 1.29/0.52 % (2907)------------------------------
% 1.29/0.52 % (2907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (2907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (2907)Termination reason: Unknown
% 1.29/0.52 % (2907)Termination phase: Preprocessing 3
% 1.29/0.52
% 1.29/0.52 % (2907)Memory used [KB]: 1407
% 1.29/0.52 % (2907)Time elapsed: 0.005 s
% 1.29/0.52 % (2907)Instructions burned: 7 (million)
% 1.29/0.52 % (2907)------------------------------
% 1.29/0.52 % (2907)------------------------------
% 1.29/0.52 % (2919)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.52 % (2928)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)
% 1.29/0.53 % (2909)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)
% 1.42/0.53 % (2929)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.53 % (2916)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)
% 1.42/0.53 % (2925)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.53 % (2904)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.53 % (2930)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)
% 1.42/0.53 % (2910)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.53 % (2911)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 % (2922)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.42/0.54 % (2913)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.54 % (2921)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)
% 1.42/0.54 % (2912)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.55 % (2906)Instruction limit reached!
% 1.42/0.55 % (2906)------------------------------
% 1.42/0.55 % (2906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (2906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (2906)Termination reason: Unknown
% 1.42/0.55 % (2906)Termination phase: Finite model building preprocessing
% 1.42/0.55
% 1.42/0.55 % (2906)Memory used [KB]: 2686
% 1.42/0.55 % (2906)Time elapsed: 0.022 s
% 1.42/0.55 % (2906)Instructions burned: 51 (million)
% 1.42/0.55 % (2906)------------------------------
% 1.42/0.55 % (2906)------------------------------
% 1.42/0.56 % (2926)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.42/0.57 % (2902)Instruction limit reached!
% 1.42/0.57 % (2902)------------------------------
% 1.42/0.57 % (2902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57 % (2902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57 % (2902)Termination reason: Unknown
% 1.42/0.57 % (2902)Termination phase: Saturation
% 1.42/0.57
% 1.42/0.57 % (2902)Memory used [KB]: 2046
% 1.42/0.57 % (2902)Time elapsed: 0.024 s
% 1.42/0.57 % (2902)Instructions burned: 37 (million)
% 1.42/0.57 % (2902)------------------------------
% 1.42/0.57 % (2902)------------------------------
% 1.42/0.59 % (2914)Instruction limit reached!
% 1.42/0.59 % (2914)------------------------------
% 1.42/0.59 % (2914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.59 % (2914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.59 % (2914)Termination reason: Unknown
% 1.42/0.59 % (2914)Termination phase: Saturation
% 1.42/0.59
% 1.42/0.59 % (2914)Memory used [KB]: 7803
% 1.42/0.59 % (2914)Time elapsed: 0.050 s
% 1.42/0.59 % (2914)Instructions burned: 69 (million)
% 1.42/0.59 % (2914)------------------------------
% 1.42/0.59 % (2914)------------------------------
% 1.42/0.59 % (2905)Instruction limit reached!
% 1.42/0.59 % (2905)------------------------------
% 1.42/0.59 % (2905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.59 % (2905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.59 % (2905)Termination reason: Unknown
% 1.42/0.59 % (2905)Termination phase: Saturation
% 1.42/0.59
% 1.42/0.59 % (2905)Memory used [KB]: 6652
% 1.42/0.59 % (2905)Time elapsed: 0.205 s
% 1.42/0.59 % (2905)Instructions burned: 48 (million)
% 1.42/0.59 % (2905)------------------------------
% 1.42/0.59 % (2905)------------------------------
% 1.42/0.60 % (2901)Instruction limit reached!
% 1.42/0.60 % (2901)------------------------------
% 1.42/0.60 % (2901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.60 % (2901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.60 % (2901)Termination reason: Unknown
% 1.42/0.60 % (2901)Termination phase: Saturation
% 1.42/0.60
% 1.42/0.60 % (2901)Memory used [KB]: 6652
% 1.42/0.60 % (2901)Time elapsed: 0.179 s
% 1.42/0.60 % (2901)Instructions burned: 50 (million)
% 1.42/0.60 % (2901)------------------------------
% 1.42/0.60 % (2901)------------------------------
% 1.42/0.60 % (2918)Instruction limit reached!
% 1.42/0.60 % (2918)------------------------------
% 1.42/0.60 % (2918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.60 % (2918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.60 % (2918)Termination reason: Unknown
% 1.42/0.60 % (2918)Termination phase: Finite model building preprocessing
% 1.42/0.60
% 1.42/0.60 % (2918)Memory used [KB]: 2686
% 1.42/0.60 % (2918)Time elapsed: 0.028 s
% 1.42/0.60 % (2918)Instructions burned: 60 (million)
% 1.42/0.60 % (2918)------------------------------
% 1.42/0.60 % (2918)------------------------------
% 1.42/0.60 % (2903)Instruction limit reached!
% 1.42/0.60 % (2903)------------------------------
% 1.42/0.60 % (2903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.60 % (2903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.60 % (2903)Termination reason: Unknown
% 1.42/0.60 % (2903)Termination phase: Saturation
% 1.42/0.60
% 1.42/0.60 % (2903)Memory used [KB]: 6780
% 1.42/0.60 % (2903)Time elapsed: 0.203 s
% 1.42/0.60 % (2903)Instructions burned: 52 (million)
% 1.42/0.60 % (2903)------------------------------
% 1.42/0.60 % (2903)------------------------------
% 1.42/0.60 % (2909)Instruction limit reached!
% 1.42/0.60 % (2909)------------------------------
% 1.42/0.60 % (2909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.60 % (2909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.60 % (2909)Termination reason: Unknown
% 1.42/0.60 % (2909)Termination phase: Saturation
% 1.42/0.60
% 1.42/0.60 % (2909)Memory used [KB]: 2430
% 1.42/0.60 % (2909)Time elapsed: 0.198 s
% 1.42/0.60 % (2909)Instructions burned: 52 (million)
% 1.42/0.60 % (2909)------------------------------
% 1.42/0.60 % (2909)------------------------------
% 1.42/0.61 % (2911)First to succeed.
% 1.42/0.61 % (2915)Also succeeded, but the first one will report.
% 1.42/0.62 % (2911)Refutation found. Thanks to Tanya!
% 1.42/0.62 % SZS status Theorem for theBenchmark
% 1.42/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.62 % (2911)------------------------------
% 1.42/0.62 % (2911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.62 % (2911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.62 % (2911)Termination reason: Refutation
% 1.42/0.62
% 1.42/0.62 % (2911)Memory used [KB]: 6780
% 1.42/0.62 % (2911)Time elapsed: 0.211 s
% 1.42/0.62 % (2911)Instructions burned: 60 (million)
% 1.42/0.62 % (2911)------------------------------
% 1.42/0.62 % (2911)------------------------------
% 1.42/0.62 % (2894)Success in time 0.268 s
%------------------------------------------------------------------------------