TSTP Solution File: SEU167+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU167+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 09:27:33 EDT 2024
% Result : Theorem 13.53s 2.31s
% Output : Refutation 13.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 46 ( 17 ~; 9 |; 15 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 33 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f131404,plain,
$false,
inference(unit_resulting_resolution,[],[f274,f127518,f325]) ).
fof(f325,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ( subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
& subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) )
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> ( subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
& subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_zfmisc_1) ).
fof(f127518,plain,
~ subset(cartesian_product2(sK14,sK16),cartesian_product2(sK14,sK17)),
inference(unit_resulting_resolution,[],[f275,f127236,f330]) ).
fof(f330,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| subset(X0,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f127236,plain,
! [X0] : subset(cartesian_product2(sK14,X0),cartesian_product2(sK15,X0)),
inference(unit_resulting_resolution,[],[f273,f324]) ).
fof(f324,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f273,plain,
subset(sK14,sK15),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ~ subset(cartesian_product2(sK14,sK16),cartesian_product2(sK15,sK17))
& subset(sK16,sK17)
& subset(sK14,sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f107,f173]) ).
fof(f173,plain,
( ? [X0,X1,X2,X3] :
( ~ subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
& subset(X2,X3)
& subset(X0,X1) )
=> ( ~ subset(cartesian_product2(sK14,sK16),cartesian_product2(sK15,sK17))
& subset(sK16,sK17)
& subset(sK14,sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
? [X0,X1,X2,X3] :
( ~ subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
& subset(X2,X3)
& subset(X0,X1) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
? [X0,X1,X2,X3] :
( ~ subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
& subset(X2,X3)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
inference(negated_conjecture,[],[f54]) ).
fof(f54,conjecture,
! [X0,X1,X2,X3] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(f275,plain,
~ subset(cartesian_product2(sK14,sK16),cartesian_product2(sK15,sK17)),
inference(cnf_transformation,[],[f174]) ).
fof(f274,plain,
subset(sK16,sK17),
inference(cnf_transformation,[],[f174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU167+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:04:36 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (3246)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (3249)WARNING: value z3 for option sas not known
% 0.15/0.38 % (3251)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)
% 0.15/0.38 % (3250)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (3252)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)
% 0.15/0.38 % (3253)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)
% 0.15/0.38 % (3248)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (3247)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (3249)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)
% 0.23/0.40 TRYING [1]
% 0.23/0.40 TRYING [2]
% 0.23/0.41 TRYING [3]
% 0.23/0.43 TRYING [1]
% 0.23/0.44 TRYING [2]
% 0.23/0.46 TRYING [4]
% 0.23/0.51 TRYING [3]
% 1.34/0.63 TRYING [5]
% 2.34/0.69 TRYING [4]
% 5.36/1.13 TRYING [6]
% 5.62/1.21 TRYING [5]
% 7.71/1.49 TRYING [1]
% 7.71/1.49 TRYING [2]
% 7.71/1.49 TRYING [3]
% 7.71/1.50 TRYING [4]
% 8.28/1.56 TRYING [5]
% 10.59/1.90 TRYING [6]
% 13.53/2.31 % (3253)First to succeed.
% 13.53/2.31 % (3253)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3246"
% 13.53/2.31 % (3253)Refutation found. Thanks to Tanya!
% 13.53/2.31 % SZS status Theorem for theBenchmark
% 13.53/2.31 % SZS output start Proof for theBenchmark
% See solution above
% 13.53/2.31 % (3253)------------------------------
% 13.53/2.31 % (3253)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 13.53/2.31 % (3253)Termination reason: Refutation
% 13.53/2.31
% 13.53/2.31 % (3253)Memory used [KB]: 34876
% 13.53/2.31 % (3253)Time elapsed: 1.934 s
% 13.53/2.31 % (3253)Instructions burned: 5482 (million)
% 13.53/2.31 % (3246)Success in time 1.937 s
%------------------------------------------------------------------------------