TSTP Solution File: SET019+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET019+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 : n009.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 18:23:10 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 45 ( 15 ~; 7 |; 16 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 24 ( 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f205,plain,
$false,
inference(subsumption_resolution,[],[f204,f90]) ).
fof(f90,plain,
~ equal_set(sK4,sK3),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( subset(sK3,sK4)
& subset(sK4,sK3)
& ~ equal_set(sK4,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f29,f61]) ).
fof(f61,plain,
( ? [X0,X1] :
( subset(X0,X1)
& subset(X1,X0)
& ~ equal_set(X1,X0) )
=> ( subset(sK3,sK4)
& subset(sK4,sK3)
& ~ equal_set(sK4,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0,X1] :
( subset(X0,X1)
& subset(X1,X0)
& ~ equal_set(X1,X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
? [X1,X0] :
( ~ equal_set(X1,X0)
& subset(X0,X1)
& subset(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI02) ).
fof(f204,plain,
equal_set(sK4,sK3),
inference(subsumption_resolution,[],[f202,f92]) ).
fof(f92,plain,
subset(sK3,sK4),
inference(cnf_transformation,[],[f62]) ).
fof(f202,plain,
( ~ subset(sK3,sK4)
| equal_set(sK4,sK3) ),
inference(resolution,[],[f88,f91]) ).
fof(f91,plain,
subset(sK4,sK3),
inference(cnf_transformation,[],[f62]) ).
fof(f88,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_set(X1,X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( equal_set(X1,X0)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET019+4 : 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
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 12:52:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.50 % (25436)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51 % (25427)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (25446)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)
% 0.18/0.51 % (25424)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)
% 0.18/0.51 % (25452)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)
% 0.18/0.51 % (25436)First to succeed.
% 0.18/0.52 % (25444)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.52 % (25436)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (25436)------------------------------
% 0.18/0.52 % (25436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (25436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (25436)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (25436)Memory used [KB]: 5500
% 0.18/0.52 % (25436)Time elapsed: 0.113 s
% 0.18/0.52 % (25436)Instructions burned: 5 (million)
% 0.18/0.52 % (25436)------------------------------
% 0.18/0.52 % (25436)------------------------------
% 0.18/0.52 % (25422)Success in time 0.177 s
%------------------------------------------------------------------------------