TSTP Solution File: SET603+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET603+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n018.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 18:21:34 EDT 2022
% Result : Theorem 1.31s 0.54s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 13 unt; 0 def)
% Number of atoms : 114 ( 17 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 122 ( 50 ~; 41 |; 22 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 66 ( 61 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f89,plain,
$false,
inference(subsumption_resolution,[],[f88,f75]) ).
fof(f75,plain,
~ subset(sK0,sF4),
inference(subsumption_resolution,[],[f74,f59]) ).
fof(f59,plain,
sF4 != sK0,
inference(definition_folding,[],[f40,f58]) ).
fof(f58,plain,
sF4 = difference(sK0,empty_set),
introduced(function_definition,[]) ).
fof(f40,plain,
difference(sK0,empty_set) != sK0,
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
difference(sK0,empty_set) != sK0,
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f20]) ).
fof(f20,plain,
( ? [X0] : difference(X0,empty_set) != X0
=> difference(sK0,empty_set) != sK0 ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0] : difference(X0,empty_set) != X0,
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0] : difference(X0,empty_set) = X0,
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0] : difference(X0,empty_set) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th74) ).
fof(f74,plain,
( sF4 = sK0
| ~ subset(sK0,sF4) ),
inference(resolution,[],[f73,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
fof(f73,plain,
subset(sF4,sK0),
inference(duplicate_literal_removal,[],[f72]) ).
fof(f72,plain,
( subset(sF4,sK0)
| subset(sF4,sK0) ),
inference(resolution,[],[f67,f45]) ).
fof(f45,plain,
! [X0,X1] :
( member(sK2(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( ~ member(sK2(X0,X1),X0)
& member(sK2(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) )
=> ( ~ member(sK2(X0,X1),X0)
& member(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) ) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f67,plain,
! [X0] :
( ~ member(sK2(sK0,X0),sF4)
| subset(X0,sK0) ),
inference(resolution,[],[f66,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f66,plain,
! [X0] :
( member(X0,sK0)
| ~ member(X0,sF4) ),
inference(superposition,[],[f51,f58]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ member(X1,difference(X0,X2))
| member(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( member(X1,difference(X0,X2))
| ~ member(X1,X0)
| member(X1,X2) )
& ( ( member(X1,X0)
& ~ member(X1,X2) )
| ~ member(X1,difference(X0,X2)) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) )
& ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) )
& ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
<=> ( member(X0,X2)
& ~ member(X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] :
( ( ~ member(X2,X1)
& member(X2,X0) )
<=> member(X2,difference(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f88,plain,
subset(sK0,sF4),
inference(duplicate_literal_removal,[],[f86]) ).
fof(f86,plain,
( subset(sK0,sF4)
| subset(sK0,sF4) ),
inference(resolution,[],[f85,f45]) ).
fof(f85,plain,
! [X1] :
( ~ member(sK2(sF4,X1),sK0)
| subset(X1,sF4) ),
inference(resolution,[],[f83,f46]) ).
fof(f83,plain,
! [X0] :
( member(X0,sF4)
| ~ member(X0,sK0) ),
inference(subsumption_resolution,[],[f82,f36]) ).
fof(f36,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
fof(f82,plain,
! [X0] :
( member(X0,sF4)
| member(X0,empty_set)
| ~ member(X0,sK0) ),
inference(superposition,[],[f52,f58]) ).
fof(f52,plain,
! [X2,X0,X1] :
( member(X1,difference(X0,X2))
| ~ member(X1,X0)
| member(X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET603+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n018.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 14:07:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.31/0.52 % (3621)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.31/0.52 % (3636)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.31/0.52 % (3650)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)
% 1.31/0.53 % (3626)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.31/0.53 % (3643)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.31/0.53 % (3626)Refutation not found, incomplete strategy% (3626)------------------------------
% 1.31/0.53 % (3626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (3626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (3626)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.53
% 1.31/0.53 % (3626)Memory used [KB]: 1407
% 1.31/0.53 % (3626)Time elapsed: 0.121 s
% 1.31/0.53 % (3626)Instructions burned: 2 (million)
% 1.31/0.53 % (3626)------------------------------
% 1.31/0.53 % (3626)------------------------------
% 1.31/0.53 % (3628)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)
% 1.31/0.53 % (3636)Instruction limit reached!
% 1.31/0.53 % (3636)------------------------------
% 1.31/0.53 % (3636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (3628)Refutation not found, incomplete strategy% (3628)------------------------------
% 1.31/0.53 % (3628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (3628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (3628)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.53
% 1.31/0.53 % (3628)Memory used [KB]: 5884
% 1.31/0.53 % (3628)Time elapsed: 0.110 s
% 1.31/0.53 % (3628)Instructions burned: 2 (million)
% 1.31/0.53 % (3628)------------------------------
% 1.31/0.53 % (3628)------------------------------
% 1.31/0.53 % (3622)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.31/0.53 % (3636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (3636)Termination reason: Unknown
% 1.31/0.53 % (3636)Termination phase: Saturation
% 1.31/0.53
% 1.31/0.53 % (3636)Memory used [KB]: 6012
% 1.31/0.53 % (3636)Time elapsed: 0.115 s
% 1.31/0.53 % (3636)Instructions burned: 7 (million)
% 1.31/0.53 % (3636)------------------------------
% 1.31/0.53 % (3636)------------------------------
% 1.31/0.53 % (3625)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.31/0.53 % (3622)Refutation not found, incomplete strategy% (3622)------------------------------
% 1.31/0.53 % (3622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (3622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (3622)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.53
% 1.31/0.53 % (3622)Memory used [KB]: 5884
% 1.31/0.53 % (3622)Time elapsed: 0.122 s
% 1.31/0.53 % (3622)Instructions burned: 1 (million)
% 1.31/0.53 % (3622)------------------------------
% 1.31/0.53 % (3622)------------------------------
% 1.31/0.53 % (3647)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.31/0.53 % (3644)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.31/0.53 % (3627)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)
% 1.31/0.53 % (3635)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)
% 1.31/0.53 % (3644)Refutation not found, incomplete strategy% (3644)------------------------------
% 1.31/0.53 % (3644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (3644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (3644)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.53
% 1.31/0.53 % (3644)Memory used [KB]: 1407
% 1.31/0.53 % (3644)Time elapsed: 0.121 s
% 1.31/0.53 % (3644)Instructions burned: 2 (million)
% 1.31/0.53 % (3644)------------------------------
% 1.31/0.53 % (3644)------------------------------
% 1.31/0.53 % (3623)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)
% 1.31/0.53 % (3635)Instruction limit reached!
% 1.31/0.53 % (3635)------------------------------
% 1.31/0.53 % (3635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (3635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (3635)Termination reason: Unknown
% 1.31/0.53 % (3635)Termination phase: Saturation
% 1.31/0.53
% 1.31/0.53 % (3635)Memory used [KB]: 5884
% 1.31/0.53 % (3635)Time elapsed: 0.107 s
% 1.31/0.53 % (3635)Instructions burned: 3 (million)
% 1.31/0.53 % (3635)------------------------------
% 1.31/0.53 % (3635)------------------------------
% 1.31/0.53 % (3623)Refutation not found, incomplete strategy% (3623)------------------------------
% 1.31/0.53 % (3623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (3623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (3623)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.53
% 1.31/0.53 % (3623)Memory used [KB]: 5884
% 1.31/0.53 % (3623)Time elapsed: 0.130 s
% 1.31/0.53 % (3623)------------------------------
% 1.31/0.53 % (3623)------------------------------
% 1.31/0.54 % (3624)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.54 % (3624)Refutation not found, incomplete strategy% (3624)------------------------------
% 1.31/0.54 % (3624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54 % (3624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54 % (3624)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.54
% 1.31/0.54 % (3624)Memory used [KB]: 5884
% 1.31/0.54 % (3624)Time elapsed: 0.131 s
% 1.31/0.54 % (3624)Instructions burned: 1 (million)
% 1.31/0.54 % (3624)------------------------------
% 1.31/0.54 % (3624)------------------------------
% 1.31/0.54 % (3642)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)
% 1.31/0.54 % (3621)First to succeed.
% 1.31/0.54 % (3640)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.31/0.54 % (3642)Refutation not found, incomplete strategy% (3642)------------------------------
% 1.31/0.54 % (3642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54 % (3642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54 % (3642)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.54
% 1.31/0.54 % (3642)Memory used [KB]: 5884
% 1.31/0.54 % (3642)Time elapsed: 0.135 s
% 1.31/0.54 % (3642)------------------------------
% 1.31/0.54 % (3642)------------------------------
% 1.31/0.54 % (3621)Refutation found. Thanks to Tanya!
% 1.31/0.54 % SZS status Theorem for theBenchmark
% 1.31/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.54 % (3621)------------------------------
% 1.31/0.54 % (3621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54 % (3621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54 % (3621)Termination reason: Refutation
% 1.31/0.54
% 1.31/0.54 % (3621)Memory used [KB]: 5884
% 1.31/0.54 % (3621)Time elapsed: 0.091 s
% 1.31/0.54 % (3621)Instructions burned: 2 (million)
% 1.31/0.54 % (3621)------------------------------
% 1.31/0.54 % (3621)------------------------------
% 1.31/0.54 % (3620)Success in time 0.184 s
%------------------------------------------------------------------------------