TSTP Solution File: SEU056+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU056+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 09:26:54 EDT 2024
% Result : Theorem 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 99 ( 23 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 92 ( 32 ~; 24 |; 26 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 58 ( 49 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f709,plain,
$false,
inference(resolution,[],[f706,f162]) ).
fof(f162,plain,
~ disjoint(relation_image(sK2,sK1),relation_image(sK2,sK0)),
inference(resolution,[],[f122,f97]) ).
fof(f97,plain,
~ disjoint(relation_image(sK2,sK0),relation_image(sK2,sK1)),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ~ disjoint(relation_image(sK2,sK0),relation_image(sK2,sK1))
& one_to_one(sK2)
& disjoint(sK0,sK1)
& function(sK2)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f68]) ).
fof(f68,plain,
( ? [X0,X1,X2] :
( ~ disjoint(relation_image(X2,X0),relation_image(X2,X1))
& one_to_one(X2)
& disjoint(X0,X1)
& function(X2)
& relation(X2) )
=> ( ~ disjoint(relation_image(sK2,sK0),relation_image(sK2,sK1))
& one_to_one(sK2)
& disjoint(sK0,sK1)
& function(sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1,X2] :
( ~ disjoint(relation_image(X2,X0),relation_image(X2,X1))
& one_to_one(X2)
& disjoint(X0,X1)
& function(X2)
& relation(X2) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X0,X1,X2] :
( ~ disjoint(relation_image(X2,X0),relation_image(X2,X1))
& one_to_one(X2)
& disjoint(X0,X1)
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( one_to_one(X2)
& disjoint(X0,X1) )
=> disjoint(relation_image(X2,X0),relation_image(X2,X1)) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( one_to_one(X2)
& disjoint(X0,X1) )
=> disjoint(relation_image(X2,X0),relation_image(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t125_funct_1) ).
fof(f122,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f706,plain,
disjoint(relation_image(sK2,sK1),relation_image(sK2,sK0)),
inference(trivial_inequality_removal,[],[f705]) ).
fof(f705,plain,
( empty_set != empty_set
| disjoint(relation_image(sK2,sK1),relation_image(sK2,sK0)) ),
inference(forward_demodulation,[],[f695,f166]) ).
fof(f166,plain,
empty_set = relation_image(sK2,empty_set),
inference(resolution,[],[f110,f93]) ).
fof(f93,plain,
relation(sK2),
inference(cnf_transformation,[],[f69]) ).
fof(f110,plain,
! [X0] :
( ~ relation(X0)
| empty_set = relation_image(X0,empty_set) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( empty_set = relation_image(X0,empty_set)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( relation(X0)
=> empty_set = relation_image(X0,empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t149_relat_1) ).
fof(f695,plain,
( empty_set != relation_image(sK2,empty_set)
| disjoint(relation_image(sK2,sK1),relation_image(sK2,sK0)) ),
inference(superposition,[],[f609,f196]) ).
fof(f196,plain,
empty_set = set_intersection2(sK0,sK1),
inference(resolution,[],[f125,f95]) ).
fof(f95,plain,
disjoint(sK0,sK1),
inference(cnf_transformation,[],[f69]) ).
fof(f125,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = empty_set ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set )
& ( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_intersection2(X0,X1) = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).
fof(f609,plain,
! [X0,X1] :
( empty_set != relation_image(sK2,set_intersection2(X0,X1))
| disjoint(relation_image(sK2,X1),relation_image(sK2,X0)) ),
inference(superposition,[],[f201,f601]) ).
fof(f601,plain,
! [X0,X1] : relation_image(sK2,set_intersection2(X0,X1)) = set_intersection2(relation_image(sK2,X0),relation_image(sK2,X1)),
inference(resolution,[],[f349,f93]) ).
fof(f349,plain,
! [X0,X1] :
( ~ relation(sK2)
| relation_image(sK2,set_intersection2(X0,X1)) = set_intersection2(relation_image(sK2,X0),relation_image(sK2,X1)) ),
inference(resolution,[],[f287,f94]) ).
fof(f94,plain,
function(sK2),
inference(cnf_transformation,[],[f69]) ).
fof(f287,plain,
! [X0,X1] :
( ~ function(sK2)
| relation_image(sK2,set_intersection2(X0,X1)) = set_intersection2(relation_image(sK2,X0),relation_image(sK2,X1))
| ~ relation(sK2) ),
inference(resolution,[],[f130,f96]) ).
fof(f96,plain,
one_to_one(sK2),
inference(cnf_transformation,[],[f69]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ one_to_one(X2)
| relation_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_image(X2,X0),relation_image(X2,X1))
| ~ function(X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( relation_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_image(X2,X0),relation_image(X2,X1))
| ~ one_to_one(X2)
| ~ function(X2)
| ~ relation(X2) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( relation_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_image(X2,X0),relation_image(X2,X1))
| ~ one_to_one(X2)
| ~ function(X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( one_to_one(X2)
=> relation_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_image(X2,X0),relation_image(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t121_funct_1) ).
fof(f201,plain,
! [X0,X1] :
( set_intersection2(X1,X0) != empty_set
| disjoint(X0,X1) ),
inference(superposition,[],[f126,f119]) ).
fof(f119,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f126,plain,
! [X0,X1] :
( set_intersection2(X0,X1) != empty_set
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU056+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 11:44:57 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (23198)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (23204)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (23203)WARNING: value z3 for option sas not known
% 0.15/0.37 TRYING [3]
% 0.15/0.37 % (23201)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (23202)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (23203)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)
% 0.15/0.37 % (23205)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)
% 0.15/0.37 % (23206)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)
% 0.15/0.37 % (23207)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 TRYING [4]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.21/0.39 TRYING [5]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 % (23206)First to succeed.
% 0.21/0.39 % (23206)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23198"
% 0.21/0.40 % (23205)Also succeeded, but the first one will report.
% 0.21/0.40 % (23206)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Theorem for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (23206)------------------------------
% 0.21/0.40 % (23206)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (23206)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (23206)Memory used [KB]: 1120
% 0.21/0.40 % (23206)Time elapsed: 0.024 s
% 0.21/0.40 % (23206)Instructions burned: 35 (million)
% 0.21/0.40 % (23198)Success in time 0.039 s
%------------------------------------------------------------------------------