TSTP Solution File: SEU129+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU129+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_uns --cores 0 -t %d %s
% Computer : n023.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 18:26:47 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 15 unt; 0 def)
% Number of atoms : 91 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 33 ~; 25 |; 9 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 71 ( 62 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f410,plain,
$false,
inference(avatar_sat_refutation,[],[f249,f261,f400,f409]) ).
fof(f409,plain,
spl11_7,
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f404,plain,
( $false
| spl11_7 ),
inference(unit_resulting_resolution,[],[f145,f162,f398,f144]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ subset(X0,X2)
| subset(X1,X2)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ~ subset(X0,X2)
| subset(X1,X2)
| ~ subset(X1,X0) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X1,X2,X0] :
( ~ subset(X1,X0)
| subset(X2,X0)
| ~ subset(X2,X1) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X2,X1,X0] :
( subset(X2,X0)
| ~ subset(X2,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X2,X1,X0] :
( ( subset(X2,X1)
& subset(X1,X0) )
=> subset(X2,X0) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X2,X1,X0] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f398,plain,
( ~ subset(set_intersection2(sK2,sK3),sK2)
| spl11_7 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f397,plain,
( spl11_7
<=> subset(set_intersection2(sK2,sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f162,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X1] : subset(X1,X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X1,X0] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f145,plain,
! [X0,X1] : subset(set_intersection2(X1,X0),X1),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] : subset(set_intersection2(X1,X0),X1),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X1,X0] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f400,plain,
( ~ spl11_7
| spl11_2 ),
inference(avatar_split_clause,[],[f366,f247,f397]) ).
fof(f247,plain,
( spl11_2
<=> subset(set_intersection2(sK3,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f366,plain,
( ~ subset(set_intersection2(sK2,sK3),sK2)
| spl11_2 ),
inference(backward_demodulation,[],[f248,f178]) ).
fof(f178,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f248,plain,
( ~ subset(set_intersection2(sK3,sK2),sK2)
| spl11_2 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f261,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f252]) ).
fof(f252,plain,
( $false
| spl11_1 ),
inference(unit_resulting_resolution,[],[f132,f145,f245,f144]) ).
fof(f245,plain,
( ~ subset(set_intersection2(sK3,sK2),sK1)
| spl11_1 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl11_1
<=> subset(set_intersection2(sK3,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f132,plain,
subset(sK3,sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ~ subset(set_intersection2(sK3,sK2),set_intersection2(sK1,sK2))
& subset(sK3,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f84,f85]) ).
fof(f85,plain,
( ? [X0,X1,X2] :
( ~ subset(set_intersection2(X2,X1),set_intersection2(X0,X1))
& subset(X2,X0) )
=> ( ~ subset(set_intersection2(sK3,sK2),set_intersection2(sK1,sK2))
& subset(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0,X1,X2] :
( ~ subset(set_intersection2(X2,X1),set_intersection2(X0,X1))
& subset(X2,X0) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
? [X0,X2,X1] :
( ~ subset(set_intersection2(X1,X2),set_intersection2(X0,X2))
& subset(X1,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
~ ! [X0,X1,X2] :
( subset(X1,X0)
=> subset(set_intersection2(X1,X2),set_intersection2(X0,X2)) ),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X1,X0,X2] :
( subset(X0,X1)
=> subset(set_intersection2(X0,X2),set_intersection2(X1,X2)) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X1,X0,X2] :
( subset(X0,X1)
=> subset(set_intersection2(X0,X2),set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_xboole_1) ).
fof(f249,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f236,f247,f244]) ).
fof(f236,plain,
( ~ subset(set_intersection2(sK3,sK2),sK2)
| ~ subset(set_intersection2(sK3,sK2),sK1) ),
inference(resolution,[],[f171,f133]) ).
fof(f133,plain,
~ subset(set_intersection2(sK3,sK2),set_intersection2(sK1,sK2)),
inference(cnf_transformation,[],[f86]) ).
fof(f171,plain,
! [X2,X0,X1] :
( subset(X1,set_intersection2(X0,X2))
| ~ subset(X1,X2)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( subset(X1,set_intersection2(X0,X2))
| ~ subset(X1,X0)
| ~ subset(X1,X2) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X0,X2,X1] :
( subset(X2,set_intersection2(X0,X1))
| ~ subset(X2,X0)
| ~ subset(X2,X1) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X1,X2,X0] :
( subset(X2,set_intersection2(X0,X1))
| ~ subset(X2,X0)
| ~ subset(X2,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X2,X0] :
( ( subset(X2,X0)
& subset(X2,X1) )
=> subset(X2,set_intersection2(X0,X1)) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X1,X2,X0] :
( ( subset(X0,X2)
& subset(X0,X1) )
=> subset(X0,set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU129+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 15:02:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (10938)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (10948)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.51 % (10937)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (10938)Instruction limit reached!
% 0.20/0.51 % (10938)------------------------------
% 0.20/0.51 % (10938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (10938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (10938)Termination reason: Unknown
% 0.20/0.51 % (10938)Termination phase: SInE selection
% 0.20/0.51
% 0.20/0.51 % (10938)Memory used [KB]: 1407
% 0.20/0.51 % (10938)Time elapsed: 0.003 s
% 0.20/0.51 % (10938)Instructions burned: 2 (million)
% 0.20/0.51 % (10938)------------------------------
% 0.20/0.51 % (10938)------------------------------
% 0.20/0.51 % (10932)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51 % (10928)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.51 % (10930)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.51 % (10929)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.52 % (10948)Instruction limit reached!
% 0.20/0.52 % (10948)------------------------------
% 0.20/0.52 % (10948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (10948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (10948)Termination reason: Unknown
% 0.20/0.52 % (10948)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (10948)Memory used [KB]: 6140
% 0.20/0.52 % (10948)Time elapsed: 0.095 s
% 0.20/0.52 % (10948)Instructions burned: 9 (million)
% 0.20/0.52 % (10948)------------------------------
% 0.20/0.52 % (10948)------------------------------
% 0.20/0.52 % (10933)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (10937)Instruction limit reached!
% 0.20/0.52 % (10937)------------------------------
% 0.20/0.52 % (10937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (10937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (10937)Termination reason: Unknown
% 0.20/0.52 % (10937)Termination phase: Finite model building preprocessing
% 0.20/0.52
% 0.20/0.52 % (10937)Memory used [KB]: 1535
% 0.20/0.52 % (10937)Time elapsed: 0.005 s
% 0.20/0.52 % (10937)Instructions burned: 4 (million)
% 0.20/0.52 % (10937)------------------------------
% 0.20/0.52 % (10937)------------------------------
% 0.20/0.52 % (10934)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (10934)Instruction limit reached!
% 0.20/0.52 % (10934)------------------------------
% 0.20/0.52 % (10934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (10934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (10934)Termination reason: Unknown
% 0.20/0.52 % (10934)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (10934)Memory used [KB]: 6012
% 0.20/0.52 % (10934)Time elapsed: 0.003 s
% 0.20/0.52 % (10947)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52 % (10934)Instructions burned: 3 (million)
% 0.20/0.52 % (10934)------------------------------
% 0.20/0.52 % (10934)------------------------------
% 0.20/0.53 % (10926)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (10930)Instruction limit reached!
% 0.20/0.53 % (10930)------------------------------
% 0.20/0.53 % (10930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (10930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (10930)Termination reason: Unknown
% 0.20/0.53 % (10930)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (10930)Memory used [KB]: 6140
% 0.20/0.53 % (10930)Time elapsed: 0.096 s
% 0.20/0.53 % (10930)Instructions burned: 13 (million)
% 0.20/0.53 % (10930)------------------------------
% 0.20/0.53 % (10930)------------------------------
% 0.20/0.53 % (10922)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (10922)Instruction limit reached!
% 0.20/0.53 % (10922)------------------------------
% 0.20/0.53 % (10922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (10922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (10922)Termination reason: Unknown
% 0.20/0.53 % (10922)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (10922)Memory used [KB]: 6012
% 0.20/0.53 % (10922)Time elapsed: 0.111 s
% 0.20/0.53 % (10922)Instructions burned: 4 (million)
% 0.20/0.53 % (10922)------------------------------
% 0.20/0.53 % (10922)------------------------------
% 0.20/0.53 % (10940)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54 % (10949)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54 % (10941)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (10947)First to succeed.
% 0.20/0.55 % (10932)Also succeeded, but the first one will report.
% 0.20/0.55 % (10927)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55 % (10947)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (10947)------------------------------
% 0.20/0.55 % (10947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (10947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (10947)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (10947)Memory used [KB]: 6140
% 0.20/0.55 % (10947)Time elapsed: 0.107 s
% 0.20/0.55 % (10947)Instructions burned: 10 (million)
% 0.20/0.55 % (10947)------------------------------
% 0.20/0.55 % (10947)------------------------------
% 0.20/0.55 % (10919)Success in time 0.184 s
%------------------------------------------------------------------------------