TSTP Solution File: SEU264+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU264+1 : 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 : n023.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 09:30:29 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 7 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 37 ~; 28 |; 13 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 69 ( 57 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f89,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f76,f88]) ).
fof(f88,plain,
spl8_2,
inference(avatar_contradiction_clause,[],[f86]) ).
fof(f86,plain,
( $false
| spl8_2 ),
inference(resolution,[],[f84,f41]) ).
fof(f41,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ~ relation_of2_as_subset(sK3,sK2,sK1)
& subset(sK0,sK1)
& relation_of2_as_subset(sK3,sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f23,f30]) ).
fof(f30,plain,
( ? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(X0,X1)
& relation_of2_as_subset(X3,X2,X0) )
=> ( ~ relation_of2_as_subset(sK3,sK2,sK1)
& subset(sK0,sK1)
& relation_of2_as_subset(sK3,sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(X0,X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(X0,X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f84,plain,
( ~ subset(sK0,sK1)
| spl8_2 ),
inference(resolution,[],[f80,f40]) ).
fof(f40,plain,
relation_of2_as_subset(sK3,sK2,sK0),
inference(cnf_transformation,[],[f31]) ).
fof(f80,plain,
( ! [X0,X1] :
( ~ relation_of2_as_subset(sK3,X1,X0)
| ~ subset(X0,sK1) )
| spl8_2 ),
inference(resolution,[],[f78,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( subset(relation_rng(X2),X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f78,plain,
( ! [X0] :
( ~ subset(relation_rng(sK3),X0)
| ~ subset(X0,sK1) )
| spl8_2 ),
inference(resolution,[],[f73,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f73,plain,
( ~ subset(relation_rng(sK3),sK1)
| spl8_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl8_2
<=> subset(relation_rng(sK3),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f76,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f75,plain,
( $false
| spl8_1 ),
inference(resolution,[],[f69,f59]) ).
fof(f59,plain,
sP7(sK3,sK2),
inference(resolution,[],[f56,f40]) ).
fof(f56,plain,
! [X2,X3,X0] :
( ~ relation_of2_as_subset(X3,X2,X0)
| sP7(X3,X2) ),
inference(cnf_transformation,[],[f56_D]) ).
fof(f56_D,plain,
! [X2,X3] :
( ! [X0] : ~ relation_of2_as_subset(X3,X2,X0)
<=> ~ sP7(X3,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f69,plain,
( ~ sP7(sK3,sK2)
| spl8_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl8_1
<=> sP7(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f74,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f64,f71,f67]) ).
fof(f64,plain,
( ~ subset(relation_rng(sK3),sK1)
| ~ sP7(sK3,sK2) ),
inference(resolution,[],[f57,f42]) ).
fof(f42,plain,
~ relation_of2_as_subset(sK3,sK2,sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f57,plain,
! [X2,X3,X1] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ sP7(X3,X2) ),
inference(general_splitting,[],[f55,f56_D]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_relset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU264+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 11:38:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (710)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (714)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [3,1]
% 0.14/0.38 % (711)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (712)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (715)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (713)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38 % (716)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (717)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [4,1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (713)First to succeed.
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (716)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [3,1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (713)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-710"
% 0.14/0.38 % (715)Also succeeded, but the first one will report.
% 0.14/0.38 % (713)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (713)------------------------------
% 0.14/0.38 % (713)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (713)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (713)Memory used [KB]: 770
% 0.14/0.38 % (713)Time elapsed: 0.005 s
% 0.14/0.38 % (713)Instructions burned: 4 (million)
% 0.14/0.38 % (710)Success in time 0.02 s
%------------------------------------------------------------------------------