TSTP Solution File: SEU162+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU162+3 : 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 : n024.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 18:32:15 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 9 unt; 0 def)
% Number of atoms : 104 ( 39 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 97 ( 42 ~; 37 |; 7 &)
% ( 5 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 47 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f93,plain,
$false,
inference(subsumption_resolution,[],[f92,f87]) ).
fof(f87,plain,
in(sK3,sK2),
inference(trivial_inequality_removal,[],[f80]) ).
fof(f80,plain,
( sK2 != sK2
| in(sK3,sK2) ),
inference(backward_demodulation,[],[f45,f79]) ).
fof(f79,plain,
sF5 = sK2,
inference(backward_demodulation,[],[f44,f77]) ).
fof(f77,plain,
set_difference(sK2,sF4) = sK2,
inference(resolution,[],[f76,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ disjoint(X1,X0)
| set_difference(X1,X0) = X1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( set_difference(X1,X0) = X1
| ~ disjoint(X1,X0) )
& ( disjoint(X1,X0)
| set_difference(X1,X0) != X1 ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( set_difference(X1,X0) = X1
<=> disjoint(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( disjoint(X0,X1)
<=> set_difference(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_xboole_1) ).
fof(f76,plain,
disjoint(sK2,sF4),
inference(subsumption_resolution,[],[f74,f53]) ).
fof(f53,plain,
( sF5 != sK2
| disjoint(sK2,sF4) ),
inference(superposition,[],[f34,f44]) ).
fof(f34,plain,
! [X0,X1] :
( set_difference(X1,X0) != X1
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f74,plain,
( sF5 = sK2
| disjoint(sK2,sF4) ),
inference(resolution,[],[f72,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( disjoint(X0,X1)
| ~ disjoint(X1,X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X1,X0] :
( disjoint(X1,X0)
=> disjoint(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f72,plain,
( disjoint(sF4,sK2)
| sF5 = sK2 ),
inference(trivial_inequality_removal,[],[f71]) ).
fof(f71,plain,
( sF4 != sF4
| sF5 = sK2
| disjoint(sF4,sK2) ),
inference(superposition,[],[f34,f70]) ).
fof(f70,plain,
( sF4 = set_difference(sF4,sK2)
| sF5 = sK2 ),
inference(forward_demodulation,[],[f67,f43]) ).
fof(f43,plain,
singleton(sK3) = sF4,
introduced(function_definition,[]) ).
fof(f67,plain,
( singleton(sK3) = set_difference(singleton(sK3),sK2)
| sF5 = sK2 ),
inference(resolution,[],[f54,f46]) ).
fof(f46,plain,
( ~ in(sK3,sK2)
| sF5 = sK2 ),
inference(definition_folding,[],[f41,f44,f43]) ).
fof(f41,plain,
( ~ in(sK3,sK2)
| set_difference(sK2,singleton(sK3)) = sK2 ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( in(sK3,sK2)
| set_difference(sK2,singleton(sK3)) != sK2 )
& ( ~ in(sK3,sK2)
| set_difference(sK2,singleton(sK3)) = sK2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f30,f31]) ).
fof(f31,plain,
( ? [X0,X1] :
( ( in(X1,X0)
| set_difference(X0,singleton(X1)) != X0 )
& ( ~ in(X1,X0)
| set_difference(X0,singleton(X1)) = X0 ) )
=> ( ( in(sK3,sK2)
| set_difference(sK2,singleton(sK3)) != sK2 )
& ( ~ in(sK3,sK2)
| set_difference(sK2,singleton(sK3)) = sK2 ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1] :
( ( in(X1,X0)
| set_difference(X0,singleton(X1)) != X0 )
& ( ~ in(X1,X0)
| set_difference(X0,singleton(X1)) = X0 ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
? [X1,X0] :
( ( in(X0,X1)
| set_difference(X1,singleton(X0)) != X1 )
& ( ~ in(X0,X1)
| set_difference(X1,singleton(X0)) = X1 ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
? [X1,X0] :
( set_difference(X1,singleton(X0)) = X1
<~> ~ in(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
~ ! [X1,X0] :
( set_difference(X1,singleton(X0)) = X1
<=> ~ in(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X1,X0] :
( ~ in(X1,X0)
<=> set_difference(X0,singleton(X1)) = X0 ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X1,X0] :
( ~ in(X1,X0)
<=> set_difference(X0,singleton(X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(f54,plain,
! [X0,X1] :
( in(X0,X1)
| singleton(X0) = set_difference(singleton(X0),X1) ),
inference(resolution,[],[f35,f40]) ).
fof(f40,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( in(X0,X1)
| disjoint(singleton(X0),X1) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
( in(X1,X0)
| disjoint(singleton(X1),X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ~ in(X1,X0)
=> disjoint(singleton(X1),X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_zfmisc_1) ).
fof(f44,plain,
set_difference(sK2,sF4) = sF5,
introduced(function_definition,[]) ).
fof(f45,plain,
( in(sK3,sK2)
| sF5 != sK2 ),
inference(definition_folding,[],[f42,f44,f43]) ).
fof(f42,plain,
( in(sK3,sK2)
| set_difference(sK2,singleton(sK3)) != sK2 ),
inference(cnf_transformation,[],[f32]) ).
fof(f92,plain,
~ in(sK3,sK2),
inference(resolution,[],[f78,f49]) ).
fof(f49,plain,
! [X0] :
( ~ disjoint(sF4,X0)
| ~ in(sK3,X0) ),
inference(superposition,[],[f39,f43]) ).
fof(f39,plain,
! [X0,X1] :
( ~ disjoint(singleton(X1),X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ disjoint(singleton(X1),X0)
| ~ in(X1,X0) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ~ disjoint(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
~ ( disjoint(singleton(X0),X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l25_zfmisc_1) ).
fof(f78,plain,
disjoint(sF4,sK2),
inference(resolution,[],[f76,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU162+3 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:46:34 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.50 % (4504)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)
% 0.20/0.51 % (4491)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)
% 0.20/0.52 % (4515)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)
% 0.20/0.52 % (4496)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (4495)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.52 TRYING [4]
% 0.20/0.52 % (4514)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (4507)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (4503)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)
% 0.20/0.52 % (4504)First to succeed.
% 0.20/0.53 % (4498)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 (2999ds/51Mi)
% 0.20/0.53 % (4491)Also succeeded, but the first one will report.
% 0.20/0.53 % (4504)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (4504)------------------------------
% 0.20/0.53 % (4504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (4504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (4504)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (4504)Memory used [KB]: 895
% 0.20/0.53 % (4504)Time elapsed: 0.121 s
% 0.20/0.53 % (4504)Instructions burned: 2 (million)
% 0.20/0.53 % (4504)------------------------------
% 0.20/0.53 % (4504)------------------------------
% 0.20/0.53 % (4488)Success in time 0.17 s
%------------------------------------------------------------------------------