TSTP Solution File: SET027+4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET027+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_sat --cores 0 -t %d %s
% Computer : n006.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 18:23:15 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 26 ~; 16 |; 23 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 38 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,plain,
$false,
inference(subsumption_resolution,[],[f106,f80]) ).
fof(f80,plain,
~ subset(sK2,sK3),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( subset(sK4,sK3)
& subset(sK2,sK4)
& ~ subset(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f50,f51]) ).
fof(f51,plain,
( ? [X0,X1,X2] :
( subset(X2,X1)
& subset(X0,X2)
& ~ subset(X0,X1) )
=> ( subset(sK4,sK3)
& subset(sK2,sK4)
& ~ subset(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1,X2] :
( subset(X2,X1)
& subset(X0,X2)
& ~ subset(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
? [X2,X1,X0] :
( subset(X0,X1)
& subset(X2,X0)
& ~ subset(X2,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X1,X0,X2] :
( ~ subset(X2,X1)
& subset(X0,X1)
& subset(X2,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
~ ! [X1,X0,X2] :
( ( subset(X0,X1)
& subset(X2,X0) )
=> subset(X2,X1) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X1,X5,X0] :
( ( subset(X1,X5)
& subset(X0,X1) )
=> subset(X0,X5) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X1,X5,X0] :
( ( subset(X1,X5)
& subset(X0,X1) )
=> subset(X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI03) ).
fof(f106,plain,
subset(sK2,sK3),
inference(resolution,[],[f101,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( member(sK1(X0,X1),X1)
& ~ member(sK1(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f37,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) )
=> ( member(sK1(X0,X1),X1)
& ~ member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) ) ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,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(f101,plain,
member(sK1(sK3,sK2),sK3),
inference(resolution,[],[f96,f82]) ).
fof(f82,plain,
subset(sK4,sK3),
inference(cnf_transformation,[],[f52]) ).
fof(f96,plain,
! [X0] :
( ~ subset(sK4,X0)
| member(sK1(sK3,sK2),X0) ),
inference(resolution,[],[f94,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| ~ subset(X1,X0)
| member(X2,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f94,plain,
member(sK1(sK3,sK2),sK4),
inference(resolution,[],[f93,f81]) ).
fof(f81,plain,
subset(sK2,sK4),
inference(cnf_transformation,[],[f52]) ).
fof(f93,plain,
! [X0] :
( ~ subset(sK2,X0)
| member(sK1(sK3,sK2),X0) ),
inference(resolution,[],[f92,f69]) ).
fof(f92,plain,
member(sK1(sK3,sK2),sK2),
inference(resolution,[],[f68,f80]) ).
fof(f68,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET027+4 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 12:56:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (29832)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 % (29833)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)
% 0.19/0.51 % (29845)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 % (29849)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 % (29846)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (29841)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (29833)Refutation not found, incomplete strategy% (29833)------------------------------
% 0.19/0.51 % (29833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (29840)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (29850)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 % (29833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (29833)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (29833)Memory used [KB]: 5500
% 0.19/0.52 % (29833)Time elapsed: 0.110 s
% 0.19/0.52 % (29833)Instructions burned: 3 (million)
% 0.19/0.52 % (29833)------------------------------
% 0.19/0.52 % (29833)------------------------------
% 0.19/0.52 % (29856)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (29856)First to succeed.
% 0.19/0.52 % (29840)Instruction limit reached!
% 0.19/0.52 % (29840)------------------------------
% 0.19/0.52 % (29840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (29840)Termination reason: Unknown
% 0.19/0.52 % (29840)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (29840)Memory used [KB]: 5373
% 0.19/0.52 % (29840)Time elapsed: 0.003 s
% 0.19/0.52 % (29840)Instructions burned: 3 (million)
% 0.19/0.52 % (29840)------------------------------
% 0.19/0.52 % (29840)------------------------------
% 0.19/0.52 % (29856)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (29856)------------------------------
% 0.19/0.52 % (29856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (29856)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (29856)Memory used [KB]: 5500
% 0.19/0.52 % (29856)Time elapsed: 0.071 s
% 0.19/0.52 % (29856)Instructions burned: 2 (million)
% 0.19/0.52 % (29856)------------------------------
% 0.19/0.52 % (29856)------------------------------
% 0.19/0.52 % (29829)Success in time 0.171 s
%------------------------------------------------------------------------------