TSTP Solution File: SET900+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% 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 18:26:02 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 77 ( 61 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 95 ( 44 ~; 25 |; 24 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 32 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,plain,
$false,
inference(subsumption_resolution,[],[f62,f33]) ).
fof(f33,plain,
sK4 != sF5,
inference(definition_folding,[],[f30,f32]) ).
fof(f32,plain,
singleton(sK3) = sF5,
introduced(function_definition,[]) ).
fof(f30,plain,
sK4 != singleton(sK3),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( ! [X2] :
( sK3 = X2
| ~ in(X2,sK4) )
& sK4 != singleton(sK3)
& empty_set != sK4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f20,f21]) ).
fof(f21,plain,
( ? [X0,X1] :
( ! [X2] :
( X0 = X2
| ~ in(X2,X1) )
& singleton(X0) != X1
& empty_set != X1 )
=> ( ! [X2] :
( sK3 = X2
| ~ in(X2,sK4) )
& sK4 != singleton(sK3)
& empty_set != sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0,X1] :
( ! [X2] :
( X0 = X2
| ~ in(X2,X1) )
& singleton(X0) != X1
& empty_set != X1 ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
? [X1,X0] :
( ! [X2] :
( X1 = X2
| ~ in(X2,X0) )
& singleton(X1) != X0
& empty_set != X0 ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0,X1] :
~ ( singleton(X1) != X0
& empty_set != X0
& ! [X2] :
~ ( X1 != X2
& in(X2,X0) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0,X1] :
~ ( singleton(X1) != X0
& empty_set != X0
& ! [X2] :
~ ( X1 != X2
& in(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_zfmisc_1) ).
fof(f62,plain,
sK4 = sF5,
inference(backward_demodulation,[],[f32,f61]) ).
fof(f61,plain,
sK4 = singleton(sK3),
inference(equality_resolution,[],[f41]) ).
fof(f41,plain,
! [X1] :
( sK3 != X1
| singleton(X1) = sK4 ),
inference(subsumption_resolution,[],[f40,f29]) ).
fof(f29,plain,
empty_set != sK4,
inference(cnf_transformation,[],[f22]) ).
fof(f40,plain,
! [X1] :
( singleton(X1) = sK4
| sK3 != X1
| empty_set = sK4 ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f38,plain,
! [X1] :
( sK3 != X1
| empty_set = sK4
| singleton(X1) = sK4
| singleton(X1) = sK4 ),
inference(superposition,[],[f25,f36]) ).
fof(f36,plain,
! [X0] :
( sK0(X0,sK4) = sK3
| singleton(X0) = sK4 ),
inference(subsumption_resolution,[],[f34,f29]) ).
fof(f34,plain,
! [X0] :
( sK0(X0,sK4) = sK3
| singleton(X0) = sK4
| empty_set = sK4 ),
inference(resolution,[],[f26,f31]) ).
fof(f31,plain,
! [X2] :
( ~ in(X2,sK4)
| sK3 = X2 ),
inference(cnf_transformation,[],[f22]) ).
fof(f26,plain,
! [X0,X1] :
( in(sK0(X0,X1),X1)
| empty_set = X1
| singleton(X0) = X1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( in(sK0(X0,X1),X1)
& sK0(X0,X1) != X0 )
| singleton(X0) = X1
| empty_set = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f13,f14]) ).
fof(f14,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& X0 != X2 )
=> ( in(sK0(X0,X1),X1)
& sK0(X0,X1) != X0 ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& X0 != X2 )
| singleton(X0) = X1
| empty_set = X1 ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( ? [X2] :
( in(X2,X0)
& X1 != X2 )
| singleton(X1) = X0
| empty_set = X0 ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
~ ( empty_set != X0
& ! [X2] :
~ ( in(X2,X0)
& X1 != X2 )
& singleton(X1) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_zfmisc_1) ).
fof(f25,plain,
! [X0,X1] :
( sK0(X0,X1) != X0
| singleton(X0) = X1
| empty_set = X1 ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:27:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (30905)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.49 % (30925)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 (3000ds/467Mi)
% 0.19/0.49 % (30915)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)
% 0.19/0.49 % (30926)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.49 % (30913)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.49 % (30908)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.49 % (30901)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)
% 0.19/0.49 % (30914)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.49 % (30926)First to succeed.
% 0.19/0.49 % (30932)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 (3000ds/355Mi)
% 0.19/0.49 % (30905)Also succeeded, but the first one will report.
% 0.19/0.50 % (30926)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (30926)------------------------------
% 0.19/0.50 % (30926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (30926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (30926)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (30926)Memory used [KB]: 5373
% 0.19/0.50 % (30926)Time elapsed: 0.078 s
% 0.19/0.50 % (30926)Instructions burned: 2 (million)
% 0.19/0.50 % (30926)------------------------------
% 0.19/0.50 % (30926)------------------------------
% 0.19/0.50 % (30898)Success in time 0.156 s
%------------------------------------------------------------------------------