TSTP Solution File: SET603+4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET603+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 : n003.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 18:25:03 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 15 unt; 0 def)
% Number of atoms : 113 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 118 ( 50 ~; 39 |; 18 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 71 ( 66 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f354,plain,
$false,
inference(subsumption_resolution,[],[f352,f122]) ).
fof(f122,plain,
~ subset(sK0,sF4),
inference(subsumption_resolution,[],[f121,f120]) ).
fof(f120,plain,
subset(sF4,sK0),
inference(duplicate_literal_removal,[],[f119]) ).
fof(f119,plain,
( subset(sF4,sK0)
| subset(sF4,sK0) ),
inference(resolution,[],[f106,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f52,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) ) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ( ! [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,
! [X1,X0] :
( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f106,plain,
! [X18] :
( member(sK3(sF4,X18),sK0)
| subset(sF4,X18) ),
inference(resolution,[],[f80,f96]) ).
fof(f96,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sK0) ),
inference(superposition,[],[f70,f91]) ).
fof(f91,plain,
sF4 = difference(sK0,empty_set),
introduced(function_definition,[]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| member(X2,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( ( member(X2,X1)
& ~ member(X2,X0) )
| ~ member(X2,difference(X1,X0)) )
& ( member(X2,difference(X1,X0))
| ~ member(X2,X1)
| member(X2,X0) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X2,X1,X0] :
( ( ( member(X0,X1)
& ~ member(X0,X2) )
| ~ member(X0,difference(X1,X2)) )
& ( member(X0,difference(X1,X2))
| ~ member(X0,X1)
| member(X0,X2) ) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X2,X1,X0] :
( ( ( member(X0,X1)
& ~ member(X0,X2) )
| ~ member(X0,difference(X1,X2)) )
& ( member(X0,difference(X1,X2))
| ~ member(X0,X1)
| member(X0,X2) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X2,X1,X0] :
( ( member(X0,X1)
& ~ member(X0,X2) )
<=> member(X0,difference(X1,X2)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X3,X0] :
( member(X1,difference(X3,X0))
<=> ( member(X1,X3)
& ~ member(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
fof(f80,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f121,plain,
( ~ subset(sF4,sK0)
| ~ subset(sK0,sF4) ),
inference(resolution,[],[f66,f92]) ).
fof(f92,plain,
~ equal_set(sF4,sK0),
inference(definition_folding,[],[f60,f91]) ).
fof(f60,plain,
~ equal_set(difference(sK0,empty_set),sK0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
~ equal_set(difference(sK0,empty_set),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f31]) ).
fof(f31,plain,
( ? [X0] : ~ equal_set(difference(X0,empty_set),X0)
=> ~ equal_set(difference(sK0,empty_set),sK0) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0] : ~ equal_set(difference(X0,empty_set),X0),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X0] : equal_set(difference(X0,empty_set),X0),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X3] : equal_set(difference(X3,empty_set),X3),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X3] : equal_set(difference(X3,empty_set),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI30) ).
fof(f66,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,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/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f352,plain,
subset(sK0,sF4),
inference(duplicate_literal_removal,[],[f351]) ).
fof(f351,plain,
( subset(sK0,sF4)
| subset(sK0,sF4) ),
inference(resolution,[],[f171,f80]) ).
fof(f171,plain,
! [X3] :
( ~ member(sK3(X3,sF4),sK0)
| subset(X3,sF4) ),
inference(resolution,[],[f163,f79]) ).
fof(f163,plain,
! [X0] :
( member(X0,sF4)
| ~ member(X0,sK0) ),
inference(subsumption_resolution,[],[f162,f67]) ).
fof(f67,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
fof(f162,plain,
! [X0] :
( ~ member(X0,sK0)
| member(X0,empty_set)
| member(X0,sF4) ),
inference(superposition,[],[f68,f91]) ).
fof(f68,plain,
! [X2,X0,X1] :
( member(X2,difference(X1,X0))
| ~ member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : SET603+4 : TPTP v8.1.0. Released v2.2.0.
% 0.05/0.13 % 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 : n003.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 14:04:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (8473)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)
% 0.19/0.50 % (8472)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)
% 0.19/0.50 % (8478)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (8494)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)
% 0.19/0.51 % (8486)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 % (8484)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 % (8474)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)
% 0.19/0.51 % (8486)First to succeed.
% 0.19/0.52 % (8475)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (8500)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)
% 0.19/0.52 % (8488)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 % (8471)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)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (8497)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)
% 0.19/0.52 % (8478)Instruction limit reached!
% 0.19/0.52 % (8478)------------------------------
% 0.19/0.52 % (8478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8476)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)
% 0.19/0.52 TRYING [3]
% 0.19/0.53 % (8492)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (8486)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (8486)------------------------------
% 0.19/0.53 % (8486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8486)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (8486)Memory used [KB]: 1279
% 0.19/0.53 % (8486)Time elapsed: 0.124 s
% 0.19/0.53 % (8486)Instructions burned: 14 (million)
% 0.19/0.53 % (8486)------------------------------
% 0.19/0.53 % (8486)------------------------------
% 0.19/0.53 % (8470)Success in time 0.181 s
%------------------------------------------------------------------------------