TSTP Solution File: SET676+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET676+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 : n018.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 18:25:19 EDT 2022
% Result : Theorem 1.69s 0.59s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 55 ( 24 ~; 17 |; 5 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(subsumption_resolution,[],[f155,f140]) ).
fof(f140,plain,
! [X0,X1] : ilf_type(cross_product(X0,X1),relation_type(X0,X1)),
inference(subsumption_resolution,[],[f139,f107]) ).
fof(f107,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
fof(f139,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f116,f107]) ).
fof(f116,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ilf_type(cross_product(X0,X1),relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f155,plain,
~ ilf_type(cross_product(sK11,sK11),relation_type(sK11,sK11)),
inference(resolution,[],[f152,f118]) ).
fof(f118,plain,
~ ilf_type(cross_product(sK11,sK11),identity_relation_of_type(sK11)),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ~ ilf_type(cross_product(sK11,sK11),identity_relation_of_type(sK11))
& ilf_type(sK11,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f40,f78]) ).
fof(f78,plain,
( ? [X0] :
( ~ ilf_type(cross_product(X0,X0),identity_relation_of_type(X0))
& ilf_type(X0,set_type) )
=> ( ~ ilf_type(cross_product(sK11,sK11),identity_relation_of_type(sK11))
& ilf_type(sK11,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0] :
( ~ ilf_type(cross_product(X0,X0),identity_relation_of_type(X0))
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(cross_product(X0,X0),identity_relation_of_type(X0)) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(cross_product(X0,X0),identity_relation_of_type(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_41) ).
fof(f152,plain,
! [X0,X1] :
( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0)) ),
inference(subsumption_resolution,[],[f151,f107]) ).
fof(f151,plain,
! [X0,X1] :
( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f86,f107]) ).
fof(f86,plain,
! [X0,X1] :
( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) )
& ( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,relation_type(X0,X0))
<=> ilf_type(X1,identity_relation_of_type(X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,relation_type(X0,X0))
<=> ilf_type(X1,identity_relation_of_type(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SET676+3 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:17:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.56 % (4857)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)
% 0.20/0.57 % (4873)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 (2999ds/498Mi)
% 0.20/0.58 % (4870)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.58 TRYING [1]
% 0.20/0.58 TRYING [2]
% 0.20/0.58 % (4878)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 (2999ds/177Mi)
% 0.20/0.58 % (4863)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.58 % (4873)First to succeed.
% 0.20/0.59 % (4856)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 (2999ds/48Mi)
% 0.20/0.59 % (4865)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)
% 1.69/0.59 % (4859)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.69/0.59 % (4859)Instruction limit reached!
% 1.69/0.59 % (4859)------------------------------
% 1.69/0.59 % (4859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59 % (4859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59 % (4859)Termination reason: Unknown
% 1.69/0.59 % (4859)Termination phase: Preprocessing 3
% 1.69/0.59
% 1.69/0.59 % (4859)Memory used [KB]: 895
% 1.69/0.59 % (4859)Time elapsed: 0.003 s
% 1.69/0.59 % (4859)Instructions burned: 2 (million)
% 1.69/0.59 % (4859)------------------------------
% 1.69/0.59 % (4859)------------------------------
% 1.69/0.59 TRYING [3]
% 1.69/0.59 % (4873)Refutation found. Thanks to Tanya!
% 1.69/0.59 % SZS status Theorem for theBenchmark
% 1.69/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.59 % (4873)------------------------------
% 1.69/0.59 % (4873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59 % (4873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59 % (4873)Termination reason: Refutation
% 1.69/0.59
% 1.69/0.59 % (4873)Memory used [KB]: 1023
% 1.69/0.59 % (4873)Time elapsed: 0.167 s
% 1.69/0.59 % (4873)Instructions burned: 4 (million)
% 1.69/0.59 % (4873)------------------------------
% 1.69/0.59 % (4873)------------------------------
% 1.69/0.59 % (4850)Success in time 0.239 s
%------------------------------------------------------------------------------