TSTP Solution File: SEU125+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU125+1 : 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 : n005.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 18:32:01 EDT 2022
% Result : Theorem 1.29s 0.53s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 12 unt; 0 def)
% Number of atoms : 158 ( 13 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 182 ( 64 ~; 62 |; 46 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 87 ( 68 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f138,plain,
$false,
inference(subsumption_resolution,[],[f136,f106]) ).
fof(f106,plain,
~ in(sK2(set_union2(sK4,sK6),sK5),sK5),
inference(resolution,[],[f65,f88]) ).
fof(f88,plain,
~ subset(set_union2(sK4,sK6),sK5),
inference(backward_demodulation,[],[f73,f55]) ).
fof(f55,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f73,plain,
~ subset(set_union2(sK6,sK4),sK5),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( subset(sK4,sK5)
& ~ subset(set_union2(sK6,sK4),sK5)
& subset(sK6,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f49,f50]) ).
fof(f50,plain,
( ? [X0,X1,X2] :
( subset(X0,X1)
& ~ subset(set_union2(X2,X0),X1)
& subset(X2,X1) )
=> ( subset(sK4,sK5)
& ~ subset(set_union2(sK6,sK4),sK5)
& subset(sK6,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0,X1,X2] :
( subset(X0,X1)
& ~ subset(set_union2(X2,X0),X1)
& subset(X2,X1) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
? [X2,X1,X0] :
( subset(X2,X1)
& ~ subset(set_union2(X0,X2),X1)
& subset(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
? [X1,X2,X0] :
( ~ subset(set_union2(X0,X2),X1)
& subset(X0,X1)
& subset(X2,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X1,X2,X0] :
( ( subset(X0,X1)
& subset(X2,X1) )
=> subset(set_union2(X0,X2),X1) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X1,X2,X0] :
( ( subset(X0,X1)
& subset(X2,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(f65,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f42,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X3] :
( ~ in(X3,X1)
& in(X3,X0) )
=> ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( ~ in(X3,X1)
& in(X3,X0) ) ) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f136,plain,
in(sK2(set_union2(sK4,sK6),sK5),sK5),
inference(resolution,[],[f135,f120]) ).
fof(f120,plain,
! [X1] :
( ~ in(X1,sK4)
| in(X1,sK5) ),
inference(resolution,[],[f66,f74]) ).
fof(f74,plain,
subset(sK4,sK5),
inference(cnf_transformation,[],[f51]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| in(X2,X1)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f135,plain,
in(sK2(set_union2(sK4,sK6),sK5),sK4),
inference(subsumption_resolution,[],[f133,f106]) ).
fof(f133,plain,
( in(sK2(set_union2(sK4,sK6),sK5),sK5)
| in(sK2(set_union2(sK4,sK6),sK5),sK4) ),
inference(resolution,[],[f124,f119]) ).
fof(f119,plain,
! [X0] :
( ~ in(X0,sK6)
| in(X0,sK5) ),
inference(resolution,[],[f66,f72]) ).
fof(f72,plain,
subset(sK6,sK5),
inference(cnf_transformation,[],[f51]) ).
fof(f124,plain,
( in(sK2(set_union2(sK4,sK6),sK5),sK6)
| in(sK2(set_union2(sK4,sK6),sK5),sK4) ),
inference(resolution,[],[f79,f104]) ).
fof(f104,plain,
in(sK2(set_union2(sK4,sK6),sK5),set_union2(sK4,sK6)),
inference(resolution,[],[f64,f88]) ).
fof(f64,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f79,plain,
! [X2,X1,X4] :
( ~ in(X4,set_union2(X1,X2))
| in(X4,X2)
| in(X4,X1) ),
inference(equality_resolution,[],[f58]) ).
fof(f58,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| in(X4,X1)
| ~ in(X4,X0)
| set_union2(X1,X2) != X0 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( set_union2(X1,X2) = X0
| ( ( ( ~ in(sK1(X0,X1,X2),X2)
& ~ in(sK1(X0,X1,X2),X1) )
| ~ in(sK1(X0,X1,X2),X0) )
& ( in(sK1(X0,X1,X2),X2)
| in(sK1(X0,X1,X2),X1)
| in(sK1(X0,X1,X2),X0) ) ) )
& ( ! [X4] :
( ( in(X4,X0)
| ( ~ in(X4,X2)
& ~ in(X4,X1) ) )
& ( in(X4,X2)
| in(X4,X1)
| ~ in(X4,X0) ) )
| set_union2(X1,X2) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f38,f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ in(X3,X2)
& ~ in(X3,X1) )
| ~ in(X3,X0) )
& ( in(X3,X2)
| in(X3,X1)
| in(X3,X0) ) )
=> ( ( ( ~ in(sK1(X0,X1,X2),X2)
& ~ in(sK1(X0,X1,X2),X1) )
| ~ in(sK1(X0,X1,X2),X0) )
& ( in(sK1(X0,X1,X2),X2)
| in(sK1(X0,X1,X2),X1)
| in(sK1(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( set_union2(X1,X2) = X0
| ? [X3] :
( ( ( ~ in(X3,X2)
& ~ in(X3,X1) )
| ~ in(X3,X0) )
& ( in(X3,X2)
| in(X3,X1)
| in(X3,X0) ) ) )
& ( ! [X4] :
( ( in(X4,X0)
| ( ~ in(X4,X2)
& ~ in(X4,X1) ) )
& ( in(X4,X2)
| in(X4,X1)
| ~ in(X4,X0) ) )
| set_union2(X1,X2) != X0 ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU125+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.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 14:40:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (28585)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (28581)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)
% 0.19/0.50 % (28587)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 % (28595)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)
% 0.19/0.50 % (28597)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)
% 0.19/0.51 % (28589)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (28601)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)
% 0.19/0.51 % (28603)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 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (28593)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 TRYING [3]
% 0.19/0.52 TRYING [4]
% 1.29/0.52 % (28603)First to succeed.
% 1.29/0.52 TRYING [4]
% 1.29/0.52 % (28589)Instruction limit reached!
% 1.29/0.52 % (28589)------------------------------
% 1.29/0.52 % (28589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (28589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (28589)Termination reason: Unknown
% 1.29/0.52 % (28589)Termination phase: Property scanning
% 1.29/0.52
% 1.29/0.52 % (28589)Memory used [KB]: 895
% 1.29/0.52 % (28589)Time elapsed: 0.003 s
% 1.29/0.52 % (28589)Instructions burned: 2 (million)
% 1.29/0.52 % (28589)------------------------------
% 1.29/0.52 % (28589)------------------------------
% 1.29/0.52 % (28586)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)
% 1.29/0.52 % (28582)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)
% 1.29/0.52 % (28584)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)
% 1.29/0.52 % (28588)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 % (28582)Refutation not found, incomplete strategy% (28582)------------------------------
% 1.29/0.52 % (28582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (28582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (28582)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.52
% 1.29/0.52 % (28582)Memory used [KB]: 5500
% 1.29/0.52 % (28582)Time elapsed: 0.115 s
% 1.29/0.52 % (28582)Instructions burned: 3 (million)
% 1.29/0.52 % (28582)------------------------------
% 1.29/0.52 % (28582)------------------------------
% 1.29/0.52 % (28609)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.29/0.53 TRYING [5]
% 1.29/0.53 % (28603)Refutation found. Thanks to Tanya!
% 1.29/0.53 % SZS status Theorem for theBenchmark
% 1.29/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.53 % (28603)------------------------------
% 1.29/0.53 % (28603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.53 % (28603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.53 % (28603)Termination reason: Refutation
% 1.29/0.53
% 1.29/0.53 % (28603)Memory used [KB]: 1023
% 1.29/0.53 % (28603)Time elapsed: 0.121 s
% 1.29/0.53 % (28603)Instructions burned: 5 (million)
% 1.29/0.53 % (28603)------------------------------
% 1.29/0.53 % (28603)------------------------------
% 1.29/0.53 % (28580)Success in time 0.179 s
%------------------------------------------------------------------------------