TSTP Solution File: SET593+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET593+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_sat --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 18:25:01 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 56 ( 8 unt; 0 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 175 ( 69 ~; 64 |; 29 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 85 ( 73 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,plain,
$false,
inference(subsumption_resolution,[],[f85,f80]) ).
fof(f80,plain,
~ member(sK3(sK0,difference(sK2,sK1)),sK0),
inference(subsumption_resolution,[],[f79,f52]) ).
fof(f52,plain,
( ~ member(sK3(sK1,difference(sK2,sK0)),sK1)
| ~ member(sK3(sK0,difference(sK2,sK1)),sK0) ),
inference(resolution,[],[f51,f36]) ).
fof(f36,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( member(sK3(X0,X1),X1)
& ~ member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f19,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) )
=> ( member(sK3(X0,X1),X1)
& ~ member(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f51,plain,
( ~ subset(difference(sK2,sK0),sK1)
| ~ member(sK3(sK0,difference(sK2,sK1)),sK0) ),
inference(resolution,[],[f36,f34]) ).
fof(f34,plain,
( ~ subset(difference(sK2,sK1),sK0)
| ~ subset(difference(sK2,sK0),sK1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( ~ subset(difference(sK2,sK0),sK1)
| ~ subset(difference(sK2,sK1),sK0) )
& subset(sK2,union(sK0,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f15,f16]) ).
fof(f16,plain,
( ? [X0,X1,X2] :
( ( ~ subset(difference(X2,X0),X1)
| ~ subset(difference(X2,X1),X0) )
& subset(X2,union(X0,X1)) )
=> ( ( ~ subset(difference(sK2,sK0),sK1)
| ~ subset(difference(sK2,sK1),sK0) )
& subset(sK2,union(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0,X1,X2] :
( ( ~ subset(difference(X2,X0),X1)
| ~ subset(difference(X2,X1),X0) )
& subset(X2,union(X0,X1)) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
? [X2,X1,X0] :
( ( ~ subset(difference(X0,X2),X1)
| ~ subset(difference(X0,X1),X2) )
& subset(X0,union(X2,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ! [X1,X0,X2] :
( subset(X0,union(X2,X1))
=> ( subset(difference(X0,X2),X1)
& subset(difference(X0,X1),X2) ) ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X2,X1] :
( subset(X0,union(X1,X2))
=> ( subset(difference(X0,X1),X2)
& subset(difference(X0,X2),X1) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X2,X1] :
( subset(X0,union(X1,X2))
=> ( subset(difference(X0,X1),X2)
& subset(difference(X0,X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th52) ).
fof(f79,plain,
( ~ member(sK3(sK0,difference(sK2,sK1)),sK0)
| member(sK3(sK1,difference(sK2,sK0)),sK1) ),
inference(subsumption_resolution,[],[f72,f64]) ).
fof(f64,plain,
( ~ member(sK3(sK1,difference(sK2,sK0)),sK0)
| ~ member(sK3(sK0,difference(sK2,sK1)),sK0) ),
inference(resolution,[],[f47,f54]) ).
fof(f54,plain,
( member(sK3(sK1,difference(sK2,sK0)),difference(sK2,sK0))
| ~ member(sK3(sK0,difference(sK2,sK1)),sK0) ),
inference(resolution,[],[f37,f51]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X1,X2))
| member(X0,X2)
| ~ member(X0,X1) )
& ( ( ~ member(X0,X2)
& member(X0,X1) )
| ~ member(X0,difference(X1,X2)) ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f72,plain,
( ~ member(sK3(sK0,difference(sK2,sK1)),sK0)
| member(sK3(sK1,difference(sK2,sK0)),sK0)
| member(sK3(sK1,difference(sK2,sK0)),sK1) ),
inference(resolution,[],[f40,f70]) ).
fof(f70,plain,
( member(sK3(sK1,difference(sK2,sK0)),union(sK0,sK1))
| ~ member(sK3(sK0,difference(sK2,sK1)),sK0) ),
inference(resolution,[],[f65,f62]) ).
fof(f62,plain,
( member(sK3(sK1,difference(sK2,sK0)),sK2)
| ~ member(sK3(sK0,difference(sK2,sK1)),sK0) ),
inference(resolution,[],[f46,f54]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f65,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,union(sK0,sK1)) ),
inference(resolution,[],[f35,f33]) ).
fof(f33,plain,
subset(sK2,union(sK0,sK1)),
inference(cnf_transformation,[],[f17]) ).
fof(f35,plain,
! [X3,X0,X1] :
( ~ subset(X1,X0)
| ~ member(X3,X1)
| member(X3,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) )
& ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X2,X0] :
( ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X1,X2,X0] :
( ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X2,X0] :
( ( member(X0,X2)
| member(X0,X1) )
<=> member(X0,union(X1,X2)) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f85,plain,
member(sK3(sK0,difference(sK2,sK1)),sK0),
inference(subsumption_resolution,[],[f84,f81]) ).
fof(f81,plain,
~ member(sK3(sK0,difference(sK2,sK1)),sK1),
inference(resolution,[],[f78,f47]) ).
fof(f78,plain,
member(sK3(sK0,difference(sK2,sK1)),difference(sK2,sK1)),
inference(subsumption_resolution,[],[f77,f63]) ).
fof(f63,plain,
( ~ member(sK3(sK1,difference(sK2,sK0)),sK0)
| member(sK3(sK0,difference(sK2,sK1)),difference(sK2,sK1)) ),
inference(resolution,[],[f47,f55]) ).
fof(f55,plain,
( member(sK3(sK1,difference(sK2,sK0)),difference(sK2,sK0))
| member(sK3(sK0,difference(sK2,sK1)),difference(sK2,sK1)) ),
inference(resolution,[],[f53,f37]) ).
fof(f53,plain,
( ~ subset(difference(sK2,sK0),sK1)
| member(sK3(sK0,difference(sK2,sK1)),difference(sK2,sK1)) ),
inference(resolution,[],[f37,f34]) ).
fof(f77,plain,
( member(sK3(sK0,difference(sK2,sK1)),difference(sK2,sK1))
| member(sK3(sK1,difference(sK2,sK0)),sK0) ),
inference(subsumption_resolution,[],[f71,f56]) ).
fof(f56,plain,
( ~ member(sK3(sK1,difference(sK2,sK0)),sK1)
| member(sK3(sK0,difference(sK2,sK1)),difference(sK2,sK1)) ),
inference(resolution,[],[f53,f36]) ).
fof(f71,plain,
( member(sK3(sK1,difference(sK2,sK0)),sK0)
| member(sK3(sK1,difference(sK2,sK0)),sK1)
| member(sK3(sK0,difference(sK2,sK1)),difference(sK2,sK1)) ),
inference(resolution,[],[f40,f69]) ).
fof(f69,plain,
( member(sK3(sK1,difference(sK2,sK0)),union(sK0,sK1))
| member(sK3(sK0,difference(sK2,sK1)),difference(sK2,sK1)) ),
inference(resolution,[],[f65,f61]) ).
fof(f61,plain,
( member(sK3(sK1,difference(sK2,sK0)),sK2)
| member(sK3(sK0,difference(sK2,sK1)),difference(sK2,sK1)) ),
inference(resolution,[],[f46,f55]) ).
fof(f84,plain,
( member(sK3(sK0,difference(sK2,sK1)),sK1)
| member(sK3(sK0,difference(sK2,sK1)),sK0) ),
inference(resolution,[],[f83,f40]) ).
fof(f83,plain,
member(sK3(sK0,difference(sK2,sK1)),union(sK0,sK1)),
inference(resolution,[],[f82,f65]) ).
fof(f82,plain,
member(sK3(sK0,difference(sK2,sK1)),sK2),
inference(resolution,[],[f78,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET593+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:01:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (17683)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)
% 0.20/0.51 % (17705)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)
% 0.20/0.51 % (17689)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)
% 0.20/0.51 % (17699)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 % (17697)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (17691)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (17688)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)
% 0.20/0.52 TRYING [4]
% 0.20/0.53 TRYING [4]
% 0.20/0.53 % (17691)Instruction limit reached!
% 0.20/0.53 % (17691)------------------------------
% 0.20/0.53 % (17691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (17706)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)
% 0.20/0.53 % (17691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (17691)Termination reason: Unknown
% 0.20/0.53 % (17691)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (17691)Memory used [KB]: 5373
% 0.20/0.53 % (17691)Time elapsed: 0.119 s
% 0.20/0.53 % (17691)Instructions burned: 3 (million)
% 0.20/0.53 % (17691)------------------------------
% 0.20/0.53 % (17691)------------------------------
% 0.20/0.53 % (17712)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (17710)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 % (17709)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)
% 0.20/0.54 % (17711)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (17705)First to succeed.
% 0.20/0.54 % (17708)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (17707)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (17686)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)
% 0.20/0.54 % (17705)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (17705)------------------------------
% 0.20/0.54 % (17705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17705)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (17705)Memory used [KB]: 895
% 0.20/0.54 % (17705)Time elapsed: 0.126 s
% 0.20/0.54 % (17705)Instructions burned: 3 (million)
% 0.20/0.54 % (17705)------------------------------
% 0.20/0.54 % (17705)------------------------------
% 0.20/0.54 % (17682)Success in time 0.18 s
%------------------------------------------------------------------------------