TSTP Solution File: SET002+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET002+4 : 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 : n014.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 18:18:16 EDT 2022
% Result : Theorem 1.33s 0.54s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 31 ~; 32 |; 13 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 76 ( 71 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f126,plain,
$false,
inference(resolution,[],[f122,f36]) ).
fof(f36,plain,
~ equal_set(union(sK1,sK1),sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
~ equal_set(union(sK1,sK1),sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f20,f28]) ).
fof(f28,plain,
( ? [X0] : ~ equal_set(union(X0,X0),X0)
=> ~ equal_set(union(sK1,sK1),sK1) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0] : ~ equal_set(union(X0,X0),X0),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0] : equal_set(union(X0,X0),X0),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0] : equal_set(union(X0,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI14) ).
fof(f122,plain,
! [X0] : equal_set(union(X0,X0),X0),
inference(resolution,[],[f119,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ subset(union(X0,X1),X1)
| equal_set(union(X0,X1),X1) ),
inference(resolution,[],[f49,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| equal_set(X0,X1)
| ~ subset(X1,X0) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f49,plain,
! [X0,X1] : subset(X0,union(X1,X0)),
inference(duplicate_literal_removal,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( subset(X0,union(X1,X0))
| subset(X0,union(X1,X0)) ),
inference(resolution,[],[f39,f31]) ).
fof(f31,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) )
| subset(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f22,f23]) ).
fof(f23,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
| subset(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) )
| subset(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
=> subset(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ member(sK0(X0,union(X1,X2)),X2)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f33,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f33,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X1] :
( ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X2,X1)) )
& ( member(X0,union(X2,X1))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X2,X1] :
( ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X2,X1)) )
& ( member(X0,union(X2,X1))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X2,X1] :
( ( member(X0,X2)
| member(X0,X1) )
<=> member(X0,union(X2,X1)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X1,X0] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f119,plain,
! [X0] : subset(union(X0,X0),X0),
inference(duplicate_literal_removal,[],[f107]) ).
fof(f107,plain,
! [X0] :
( subset(union(X0,X0),X0)
| subset(union(X0,X0),X0) ),
inference(resolution,[],[f92,f32]) ).
fof(f92,plain,
! [X0,X1] :
( member(sK0(union(X0,X0),X1),X0)
| subset(union(X0,X0),X1) ),
inference(factoring,[],[f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(sK0(union(X0,X1),X2),X1)
| member(sK0(union(X0,X1),X2),X0)
| subset(union(X0,X1),X2) ),
inference(resolution,[],[f35,f31]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET002+4 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 12:50:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.52 % (2357)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)
% 0.20/0.52 % (2346)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (2351)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)
% 0.20/0.52 % (2353)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)
% 0.20/0.52 % (2350)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)
% 0.20/0.52 % (2357)Refutation not found, incomplete strategy% (2357)------------------------------
% 0.20/0.52 % (2357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2357)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (2357)Memory used [KB]: 5884
% 0.20/0.52 % (2357)Time elapsed: 0.104 s
% 0.20/0.52 % (2357)Instructions burned: 1 (million)
% 0.20/0.52 % (2357)------------------------------
% 0.20/0.52 % (2357)------------------------------
% 0.20/0.53 % (2348)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 % (2348)Refutation not found, incomplete strategy% (2348)------------------------------
% 0.20/0.53 % (2348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2348)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (2348)Memory used [KB]: 5884
% 0.20/0.53 % (2348)Time elapsed: 0.114 s
% 0.20/0.53 % (2348)Instructions burned: 2 (million)
% 0.20/0.53 % (2348)------------------------------
% 0.20/0.53 % (2348)------------------------------
% 0.20/0.53 % (2362)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)
% 0.20/0.53 % (2355)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)
% 0.20/0.53 % (2370)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)
% 0.20/0.53 % (2370)Refutation not found, incomplete strategy% (2370)------------------------------
% 0.20/0.53 % (2370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2370)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (2370)Memory used [KB]: 1407
% 0.20/0.53 % (2370)Time elapsed: 0.077 s
% 0.20/0.53 % (2370)------------------------------
% 0.20/0.53 % (2370)------------------------------
% 0.20/0.53 % (2349)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)
% 0.20/0.54 % (2349)Refutation not found, incomplete strategy% (2349)------------------------------
% 0.20/0.54 % (2349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2349)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (2349)Memory used [KB]: 5884
% 0.20/0.54 % (2349)Time elapsed: 0.002 s
% 0.20/0.54 % (2349)Instructions burned: 1 (million)
% 0.20/0.54 % (2349)------------------------------
% 0.20/0.54 % (2349)------------------------------
% 1.33/0.54 % (2358)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.54 % (2366)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)
% 1.33/0.54 % (2363)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.54 % (2366)Refutation not found, incomplete strategy% (2366)------------------------------
% 1.33/0.54 % (2366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (2366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (2366)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.54
% 1.33/0.54 % (2366)Memory used [KB]: 5884
% 1.33/0.54 % (2366)Time elapsed: 0.128 s
% 1.33/0.54 % (2366)Instructions burned: 2 (million)
% 1.33/0.54 % (2366)------------------------------
% 1.33/0.54 % (2366)------------------------------
% 1.33/0.54 % (2358)Refutation not found, incomplete strategy% (2358)------------------------------
% 1.33/0.54 % (2358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (2358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (2358)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.54
% 1.33/0.54 % (2358)Memory used [KB]: 5884
% 1.33/0.54 % (2358)Time elapsed: 0.125 s
% 1.33/0.54 % (2358)Instructions burned: 2 (million)
% 1.33/0.54 % (2358)------------------------------
% 1.33/0.54 % (2358)------------------------------
% 1.33/0.54 % (2350)First to succeed.
% 1.33/0.54 % (2356)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)
% 1.33/0.54 % (2377)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)
% 1.33/0.54 % (2350)Refutation found. Thanks to Tanya!
% 1.33/0.54 % SZS status Theorem for theBenchmark
% 1.33/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.54 % (2350)------------------------------
% 1.33/0.54 % (2350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (2350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (2350)Termination reason: Refutation
% 1.33/0.54
% 1.33/0.54 % (2350)Memory used [KB]: 6012
% 1.33/0.54 % (2350)Time elapsed: 0.126 s
% 1.33/0.54 % (2350)Instructions burned: 3 (million)
% 1.33/0.54 % (2350)------------------------------
% 1.33/0.54 % (2350)------------------------------
% 1.33/0.54 % (2342)Success in time 0.176 s
%------------------------------------------------------------------------------