TSTP Solution File: SET604+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET604+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 : n017.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 : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 26 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 5 |; 2 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,plain,
$false,
inference(trivial_inequality_removal,[],[f47]) ).
fof(f47,plain,
empty_set != empty_set,
inference(superposition,[],[f42,f45]) ).
fof(f45,plain,
! [X0] : empty_set = difference(empty_set,X0),
inference(resolution,[],[f41,f39]) ).
fof(f39,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_subset) ).
fof(f41,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| empty_set = difference(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( empty_set = difference(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| empty_set != difference(X0,X1) ) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ( empty_set = difference(X1,X0)
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| empty_set != difference(X1,X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( empty_set = difference(X1,X0)
<=> subset(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( empty_set = difference(X0,X1)
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_empty_set) ).
fof(f42,plain,
empty_set != difference(empty_set,sK1),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
empty_set != difference(empty_set,sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f13,f26]) ).
fof(f26,plain,
( ? [X0] : empty_set != difference(empty_set,X0)
=> empty_set != difference(empty_set,sK1) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0] : empty_set != difference(empty_set,X0),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0] : empty_set = difference(empty_set,X0),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0] : empty_set = difference(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_no_difference_with_empty_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % 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 : n017.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 13:28:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (27648)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 (3000ds/37Mi)
% 0.21/0.53 % (27649)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 % (27660)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)
% 0.21/0.53 % (27668)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 % (27663)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.21/0.53 % (27653)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 % (27648)First to succeed.
% 0.21/0.53 % (27654)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.53 % (27664)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.21/0.53 % (27647)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)
% 0.21/0.53 % (27655)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53 % (27650)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.54 % (27674)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.21/0.54 % (27648)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 % (27648)------------------------------
% 0.21/0.54 % (27648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (27648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (27648)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (27648)Memory used [KB]: 895
% 0.21/0.54 % (27648)Time elapsed: 0.125 s
% 0.21/0.54 % (27648)Instructions burned: 2 (million)
% 0.21/0.54 % (27648)------------------------------
% 0.21/0.54 % (27648)------------------------------
% 0.21/0.54 % (27645)Success in time 0.183 s
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