TSTP Solution File: SET603+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET603+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 : n010.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 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 11 unt; 0 def)
% Number of atoms : 119 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 134 ( 58 ~; 45 |; 22 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 56 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,plain,
$false,
inference(subsumption_resolution,[],[f79,f78]) ).
fof(f78,plain,
~ member(sK0(sK1,difference(sK1,empty_set)),sK1),
inference(subsumption_resolution,[],[f77,f68]) ).
fof(f68,plain,
( member(sK0(difference(sK1,empty_set),sK1),sK1)
| ~ member(sK0(sK1,difference(sK1,empty_set)),sK1) ),
inference(resolution,[],[f65,f39]) ).
fof(f39,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( ~ member(sK0(X0,X1),X0)
& member(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) )
=> ( ~ member(sK0(X0,X1),X0)
& member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f65,plain,
( ~ subset(sK1,difference(sK1,empty_set))
| ~ member(sK0(sK1,difference(sK1,empty_set)),sK1) ),
inference(resolution,[],[f60,f40]) ).
fof(f40,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f60,plain,
( ~ subset(difference(sK1,empty_set),sK1)
| ~ subset(sK1,difference(sK1,empty_set)) ),
inference(extensionality_resolution,[],[f42,f41]) ).
fof(f41,plain,
difference(sK1,empty_set) != sK1,
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
difference(sK1,empty_set) != sK1,
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f16,f24]) ).
fof(f24,plain,
( ? [X0] : difference(X0,empty_set) != X0
=> difference(sK1,empty_set) != sK1 ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0] : difference(X0,empty_set) != X0,
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0] : difference(X0,empty_set) = X0,
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0] : difference(X0,empty_set) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th74) ).
fof(f42,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> X0 = X1 ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
fof(f77,plain,
( ~ member(sK0(sK1,difference(sK1,empty_set)),sK1)
| ~ member(sK0(difference(sK1,empty_set),sK1),sK1) ),
inference(subsumption_resolution,[],[f74,f45]) ).
fof(f45,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
fof(f74,plain,
( ~ member(sK0(difference(sK1,empty_set),sK1),sK1)
| member(sK0(difference(sK1,empty_set),sK1),empty_set)
| ~ member(sK0(sK1,difference(sK1,empty_set)),sK1) ),
inference(resolution,[],[f35,f67]) ).
fof(f67,plain,
( ~ member(sK0(difference(sK1,empty_set),sK1),difference(sK1,empty_set))
| ~ member(sK0(sK1,difference(sK1,empty_set)),sK1) ),
inference(resolution,[],[f65,f40]) ).
fof(f35,plain,
! [X2,X0,X1] :
( member(X2,difference(X1,X0))
| ~ member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,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,[],[f18]) ).
fof(f18,plain,
! [X0,X2,X1] :
( ( ( member(X1,X2)
& ~ member(X1,X0) )
| ~ member(X1,difference(X2,X0)) )
& ( member(X1,difference(X2,X0))
| ~ member(X1,X2)
| member(X1,X0) ) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X0,X2,X1] :
( ( ( member(X1,X2)
& ~ member(X1,X0) )
| ~ member(X1,difference(X2,X0)) )
& ( member(X1,difference(X2,X0))
| ~ member(X1,X2)
| member(X1,X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X2,X1] :
( ( member(X1,X2)
& ~ member(X1,X0) )
<=> member(X1,difference(X2,X0)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2,X0] :
( ( ~ member(X2,X1)
& member(X2,X0) )
<=> member(X2,difference(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f79,plain,
member(sK0(sK1,difference(sK1,empty_set)),sK1),
inference(resolution,[],[f76,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| member(X2,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f76,plain,
member(sK0(sK1,difference(sK1,empty_set)),difference(sK1,empty_set)),
inference(subsumption_resolution,[],[f75,f70]) ).
fof(f70,plain,
( member(sK0(difference(sK1,empty_set),sK1),sK1)
| member(sK0(sK1,difference(sK1,empty_set)),difference(sK1,empty_set)) ),
inference(resolution,[],[f66,f39]) ).
fof(f66,plain,
( ~ subset(sK1,difference(sK1,empty_set))
| member(sK0(sK1,difference(sK1,empty_set)),difference(sK1,empty_set)) ),
inference(resolution,[],[f60,f39]) ).
fof(f75,plain,
( ~ member(sK0(difference(sK1,empty_set),sK1),sK1)
| member(sK0(sK1,difference(sK1,empty_set)),difference(sK1,empty_set)) ),
inference(subsumption_resolution,[],[f73,f45]) ).
fof(f73,plain,
( ~ member(sK0(difference(sK1,empty_set),sK1),sK1)
| member(sK0(difference(sK1,empty_set),sK1),empty_set)
| member(sK0(sK1,difference(sK1,empty_set)),difference(sK1,empty_set)) ),
inference(resolution,[],[f35,f69]) ).
fof(f69,plain,
( ~ member(sK0(difference(sK1,empty_set),sK1),difference(sK1,empty_set))
| member(sK0(sK1,difference(sK1,empty_set)),difference(sK1,empty_set)) ),
inference(resolution,[],[f66,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET603+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n010.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 13:56:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (16228)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.51 % (16235)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.52 % (16228)Refutation not found, incomplete strategy% (16228)------------------------------
% 0.21/0.52 % (16228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (16228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (16228)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (16228)Memory used [KB]: 5373
% 0.21/0.52 % (16228)Time elapsed: 0.111 s
% 0.21/0.52 % (16228)Instructions burned: 2 (million)
% 0.21/0.52 % (16228)------------------------------
% 0.21/0.52 % (16228)------------------------------
% 0.21/0.52 % (16248)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.21/0.52 % (16247)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 (3000ds/176Mi)
% 0.21/0.52 % (16235)Instruction limit reached!
% 0.21/0.52 % (16235)------------------------------
% 0.21/0.52 % (16235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (16241)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 (3000ds/68Mi)
% 0.21/0.52 % (16235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (16235)Termination reason: Unknown
% 0.21/0.52 % (16235)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (16235)Memory used [KB]: 5373
% 0.21/0.52 % (16235)Time elapsed: 0.119 s
% 0.21/0.52 % (16235)Instructions burned: 2 (million)
% 0.21/0.52 % (16235)------------------------------
% 0.21/0.52 % (16235)------------------------------
% 0.21/0.52 % (16231)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53 % (16230)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53 % (16227)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 (3000ds/191324Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 % (16243)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 (3000ds/99Mi)
% 0.21/0.53 % (16249)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 (3000ds/498Mi)
% 0.21/0.53 % (16240)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.53 % (16232)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 (3000ds/48Mi)
% 0.21/0.53 % (16234)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.21/0.53 % (16249)First to succeed.
% 0.21/0.53 % (16254)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 (3000ds/177Mi)
% 0.21/0.54 % (16249)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (16249)------------------------------
% 0.21/0.54 % (16249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (16249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (16249)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (16249)Memory used [KB]: 895
% 0.21/0.54 % (16249)Time elapsed: 0.100 s
% 0.21/0.54 % (16249)Instructions burned: 3 (million)
% 0.21/0.54 % (16249)------------------------------
% 0.21/0.54 % (16249)------------------------------
% 0.21/0.54 % (16226)Success in time 0.182 s
%------------------------------------------------------------------------------