TSTP Solution File: NUM533+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n022.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 18:05:40 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 135 ( 53 ~; 51 |; 24 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 34 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f197,plain,
$false,
inference(subsumption_resolution,[],[f196,f44]) ).
fof(f44,plain,
aSet0(xA),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( aSet0(xC)
& aSet0(xB)
& aSet0(xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__522) ).
fof(f196,plain,
~ aSet0(xA),
inference(subsumption_resolution,[],[f195,f48]) ).
fof(f48,plain,
~ aSubsetOf0(xA,xC),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( aSubsetOf0(xB,xC)
& ~ aSubsetOf0(xA,xC)
& aSubsetOf0(xA,xB) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
( ~ aSubsetOf0(xA,xC)
& aSubsetOf0(xA,xB)
& aSubsetOf0(xB,xC) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ( ( aSubsetOf0(xA,xB)
& aSubsetOf0(xB,xC) )
=> aSubsetOf0(xA,xC) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
( ( aSubsetOf0(xA,xB)
& aSubsetOf0(xB,xC) )
=> aSubsetOf0(xA,xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f195,plain,
( aSubsetOf0(xA,xC)
| ~ aSet0(xA) ),
inference(subsumption_resolution,[],[f194,f46]) ).
fof(f46,plain,
aSet0(xC),
inference(cnf_transformation,[],[f14]) ).
fof(f194,plain,
( ~ aSet0(xC)
| aSubsetOf0(xA,xC)
| ~ aSet0(xA) ),
inference(duplicate_literal_removal,[],[f190]) ).
fof(f190,plain,
( aSubsetOf0(xA,xC)
| ~ aSet0(xA)
| ~ aSet0(xC)
| ~ aSet0(xC)
| aSubsetOf0(xA,xC) ),
inference(resolution,[],[f57,f186]) ).
fof(f186,plain,
! [X0] :
( aElementOf0(sK1(X0,xA),xC)
| ~ aSet0(X0)
| aSubsetOf0(xA,X0) ),
inference(resolution,[],[f156,f93]) ).
fof(f93,plain,
! [X1] :
( ~ aElementOf0(X1,xB)
| aElementOf0(X1,xC) ),
inference(subsumption_resolution,[],[f89,f46]) ).
fof(f89,plain,
! [X1] :
( aElementOf0(X1,xC)
| ~ aSet0(xC)
| ~ aElementOf0(X1,xB) ),
inference(resolution,[],[f55,f49]) ).
fof(f49,plain,
aSubsetOf0(xB,xC),
inference(cnf_transformation,[],[f27]) ).
fof(f55,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK1(X0,X1),X0)
& aElementOf0(sK1(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f40,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK1(X0,X1),X0)
& aElementOf0(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f156,plain,
! [X1] :
( aElementOf0(sK1(X1,xA),xB)
| aSubsetOf0(xA,X1)
| ~ aSet0(X1) ),
inference(subsumption_resolution,[],[f154,f44]) ).
fof(f154,plain,
! [X1] :
( aElementOf0(sK1(X1,xA),xB)
| ~ aSet0(xA)
| aSubsetOf0(xA,X1)
| ~ aSet0(X1) ),
inference(resolution,[],[f56,f92]) ).
fof(f92,plain,
! [X0] :
( ~ aElementOf0(X0,xA)
| aElementOf0(X0,xB) ),
inference(subsumption_resolution,[],[f88,f45]) ).
fof(f45,plain,
aSet0(xB),
inference(cnf_transformation,[],[f14]) ).
fof(f88,plain,
! [X0] :
( ~ aSet0(xB)
| ~ aElementOf0(X0,xA)
| aElementOf0(X0,xB) ),
inference(resolution,[],[f55,f47]) ).
fof(f47,plain,
aSubsetOf0(xA,xB),
inference(cnf_transformation,[],[f27]) ).
fof(f56,plain,
! [X0,X1] :
( aElementOf0(sK1(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f57,plain,
! [X0,X1] :
( ~ aElementOf0(sK1(X0,X1),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 07:01:11 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (11500)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.49 % (11492)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (11490)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)
% 0.20/0.50 % (11489)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)
% 0.20/0.50 % (11500)First to succeed.
% 0.20/0.50 % (11489)Refutation not found, incomplete strategy% (11489)------------------------------
% 0.20/0.50 % (11489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (11489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (11489)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (11489)Memory used [KB]: 5373
% 0.20/0.50 % (11489)Time elapsed: 0.100 s
% 0.20/0.50 % (11489)Instructions burned: 2 (million)
% 0.20/0.50 % (11489)------------------------------
% 0.20/0.50 % (11489)------------------------------
% 0.20/0.50 % (11492)Also succeeded, but the first one will report.
% 0.20/0.50 % (11500)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (11500)------------------------------
% 0.20/0.50 % (11500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (11500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (11500)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (11500)Memory used [KB]: 5500
% 0.20/0.50 % (11500)Time elapsed: 0.099 s
% 0.20/0.50 % (11500)Instructions burned: 4 (million)
% 0.20/0.50 % (11500)------------------------------
% 0.20/0.50 % (11500)------------------------------
% 0.20/0.50 % (11485)Success in time 0.152 s
%------------------------------------------------------------------------------