TSTP Solution File: SET643+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET643+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Sun May 5 09:14:47 EDT 2024
% Result : Theorem 0.14s 0.32s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 80 ( 36 ~; 23 |; 10 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 21 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f174,plain,
$false,
inference(resolution,[],[f173,f94]) ).
fof(f94,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(f173,plain,
~ ilf_type(sK4,set_type),
inference(resolution,[],[f172,f94]) ).
fof(f172,plain,
( ~ ilf_type(sK5,set_type)
| ~ ilf_type(sK4,set_type) ),
inference(resolution,[],[f171,f94]) ).
fof(f171,plain,
( ~ ilf_type(cross_product(sK4,sK5),set_type)
| ~ ilf_type(sK4,set_type)
| ~ ilf_type(sK5,set_type) ),
inference(duplicate_literal_removal,[],[f168]) ).
fof(f168,plain,
( ~ ilf_type(sK5,set_type)
| ~ ilf_type(sK4,set_type)
| ~ ilf_type(cross_product(sK4,sK5),set_type)
| ~ ilf_type(cross_product(sK4,sK5),set_type) ),
inference(resolution,[],[f167,f95]) ).
fof(f95,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).
fof(f167,plain,
( ~ subset(cross_product(sK4,sK5),cross_product(sK4,sK5))
| ~ ilf_type(sK5,set_type)
| ~ ilf_type(sK4,set_type)
| ~ ilf_type(cross_product(sK4,sK5),set_type) ),
inference(resolution,[],[f124,f93]) ).
fof(f93,plain,
~ ilf_type(cross_product(sK4,sK5),relation_type(sK4,sK5)),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ~ ilf_type(cross_product(sK4,sK5),relation_type(sK4,sK5))
& ilf_type(sK5,set_type)
& ilf_type(sK4,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f23,f56,f55]) ).
fof(f55,plain,
( ? [X0] :
( ? [X1] :
( ~ ilf_type(cross_product(X0,X1),relation_type(X0,X1))
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ~ ilf_type(cross_product(sK4,X1),relation_type(sK4,X1))
& ilf_type(X1,set_type) )
& ilf_type(sK4,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X1] :
( ~ ilf_type(cross_product(sK4,X1),relation_type(sK4,X1))
& ilf_type(X1,set_type) )
=> ( ~ ilf_type(cross_product(sK4,sK5),relation_type(sK4,sK5))
& ilf_type(sK5,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0] :
( ? [X1] :
( ~ ilf_type(cross_product(X0,X1),relation_type(X0,X1))
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [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',prove_relset_1_5) ).
fof(f124,plain,
! [X2,X0,X1] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X0,cross_product(X1,X2))
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET643+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n011.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 16:31:23 EDT 2024
% 0.14/0.29 % CPUTime :
% 0.14/0.30 % (26613)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.31 % (26618)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.31 % (26616)WARNING: value z3 for option sas not known
% 0.14/0.31 % (26614)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.31 % (26615)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.31 % (26620)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.31 % (26619)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.31 % (26617)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.31 % (26616)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.32 % (26619)First to succeed.
% 0.14/0.32 % (26619)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26613"
% 0.14/0.32 % (26619)Refutation found. Thanks to Tanya!
% 0.14/0.32 % SZS status Theorem for theBenchmark
% 0.14/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.32 % (26619)------------------------------
% 0.14/0.32 % (26619)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.32 % (26619)Termination reason: Refutation
% 0.14/0.32
% 0.14/0.32 % (26619)Memory used [KB]: 926
% 0.14/0.32 % (26619)Time elapsed: 0.006 s
% 0.14/0.32 % (26619)Instructions burned: 8 (million)
% 0.14/0.32 % (26613)Success in time 0.021 s
%------------------------------------------------------------------------------