TSTP Solution File: SEU252+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU252+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 : n019.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 09:30:26 EDT 2024
% Result : Theorem 1.26s 0.53s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 5 unt; 0 def)
% Number of atoms : 188 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 233 ( 95 ~; 89 |; 32 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 106 ( 97 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5547,plain,
$false,
inference(subsumption_resolution,[],[f5546,f95]) ).
fof(f95,plain,
reflexive(sK1),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ~ reflexive(relation_restriction(sK1,sK0))
& reflexive(sK1)
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f52,f72]) ).
fof(f72,plain,
( ? [X0,X1] :
( ~ reflexive(relation_restriction(X1,X0))
& reflexive(X1)
& relation(X1) )
=> ( ~ reflexive(relation_restriction(sK1,sK0))
& reflexive(sK1)
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1] :
( ~ reflexive(relation_restriction(X1,X0))
& reflexive(X1)
& relation(X1) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
? [X0,X1] :
( ~ reflexive(relation_restriction(X1,X0))
& reflexive(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( reflexive(X1)
=> reflexive(relation_restriction(X1,X0)) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
! [X0,X1] :
( relation(X1)
=> ( reflexive(X1)
=> reflexive(relation_restriction(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_wellord1) ).
fof(f5546,plain,
~ reflexive(sK1),
inference(subsumption_resolution,[],[f5538,f94]) ).
fof(f94,plain,
relation(sK1),
inference(cnf_transformation,[],[f73]) ).
fof(f5538,plain,
( ~ relation(sK1)
| ~ reflexive(sK1) ),
inference(resolution,[],[f5535,f96]) ).
fof(f96,plain,
~ reflexive(relation_restriction(sK1,sK0)),
inference(cnf_transformation,[],[f73]) ).
fof(f5535,plain,
! [X0,X1] :
( reflexive(relation_restriction(X0,X1))
| ~ relation(X0)
| ~ reflexive(X0) ),
inference(subsumption_resolution,[],[f5534,f319]) ).
fof(f319,plain,
! [X0,X1] :
( in(sK2(relation_restriction(X0,X1)),relation_field(X0))
| ~ relation(X0)
| reflexive(relation_restriction(X0,X1)) ),
inference(subsumption_resolution,[],[f317,f119]) ).
fof(f119,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_wellord1) ).
fof(f317,plain,
! [X0,X1] :
( in(sK2(relation_restriction(X0,X1)),relation_field(X0))
| ~ relation(X0)
| reflexive(relation_restriction(X0,X1))
| ~ relation(relation_restriction(X0,X1)) ),
inference(resolution,[],[f125,f102]) ).
fof(f102,plain,
! [X0] :
( in(sK2(X0),relation_field(X0))
| reflexive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( ( reflexive(X0)
| ( ~ in(ordered_pair(sK2(X0),sK2(X0)),X0)
& in(sK2(X0),relation_field(X0)) ) )
& ( ! [X2] :
( in(ordered_pair(X2,X2),X0)
| ~ in(X2,relation_field(X0)) )
| ~ reflexive(X0) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f75,f76]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
( ~ in(ordered_pair(X1,X1),X0)
& in(X1,relation_field(X0)) )
=> ( ~ in(ordered_pair(sK2(X0),sK2(X0)),X0)
& in(sK2(X0),relation_field(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ( ( reflexive(X0)
| ? [X1] :
( ~ in(ordered_pair(X1,X1),X0)
& in(X1,relation_field(X0)) ) )
& ( ! [X2] :
( in(ordered_pair(X2,X2),X0)
| ~ in(X2,relation_field(X0)) )
| ~ reflexive(X0) ) )
| ~ relation(X0) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( ( reflexive(X0)
| ? [X1] :
( ~ in(ordered_pair(X1,X1),X0)
& in(X1,relation_field(X0)) ) )
& ( ! [X1] :
( in(ordered_pair(X1,X1),X0)
| ~ in(X1,relation_field(X0)) )
| ~ reflexive(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( reflexive(X0)
<=> ! [X1] :
( in(ordered_pair(X1,X1),X0)
| ~ in(X1,relation_field(X0)) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( relation(X0)
=> ( reflexive(X0)
<=> ! [X1] :
( in(X1,relation_field(X0))
=> in(ordered_pair(X1,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_wellord1) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,relation_field(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( in(X0,X1)
& in(X0,relation_field(X2)) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( in(X0,X1)
& in(X0,relation_field(X2)) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,X1)
& in(X0,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_wellord1) ).
fof(f5534,plain,
! [X0,X1] :
( ~ relation(X0)
| reflexive(relation_restriction(X0,X1))
| ~ in(sK2(relation_restriction(X0,X1)),relation_field(X0))
| ~ reflexive(X0) ),
inference(duplicate_literal_removal,[],[f5529]) ).
fof(f5529,plain,
! [X0,X1] :
( ~ relation(X0)
| reflexive(relation_restriction(X0,X1))
| ~ in(sK2(relation_restriction(X0,X1)),relation_field(X0))
| ~ reflexive(X0)
| ~ relation(X0) ),
inference(resolution,[],[f1509,f101]) ).
fof(f101,plain,
! [X2,X0] :
( in(ordered_pair(X2,X2),X0)
| ~ in(X2,relation_field(X0))
| ~ reflexive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f1509,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK2(relation_restriction(X0,X1)),sK2(relation_restriction(X0,X1))),X0)
| ~ relation(X0)
| reflexive(relation_restriction(X0,X1)) ),
inference(subsumption_resolution,[],[f1508,f119]) ).
fof(f1508,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK2(relation_restriction(X0,X1)),sK2(relation_restriction(X0,X1))),X0)
| ~ relation(X0)
| reflexive(relation_restriction(X0,X1))
| ~ relation(relation_restriction(X0,X1)) ),
inference(subsumption_resolution,[],[f1507,f282]) ).
fof(f282,plain,
! [X0,X1] :
( in(sK2(relation_restriction(X0,X1)),X1)
| ~ relation(X0)
| reflexive(relation_restriction(X0,X1)) ),
inference(subsumption_resolution,[],[f280,f119]) ).
fof(f280,plain,
! [X0,X1] :
( in(sK2(relation_restriction(X0,X1)),X1)
| ~ relation(X0)
| reflexive(relation_restriction(X0,X1))
| ~ relation(relation_restriction(X0,X1)) ),
inference(resolution,[],[f126,f102]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f1507,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK2(relation_restriction(X0,X1)),sK2(relation_restriction(X0,X1))),X0)
| ~ relation(X0)
| ~ in(sK2(relation_restriction(X0,X1)),X1)
| reflexive(relation_restriction(X0,X1))
| ~ relation(relation_restriction(X0,X1)) ),
inference(duplicate_literal_removal,[],[f1497]) ).
fof(f1497,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK2(relation_restriction(X0,X1)),sK2(relation_restriction(X0,X1))),X0)
| ~ relation(X0)
| ~ in(sK2(relation_restriction(X0,X1)),X1)
| ~ in(sK2(relation_restriction(X0,X1)),X1)
| reflexive(relation_restriction(X0,X1))
| ~ relation(relation_restriction(X0,X1)) ),
inference(resolution,[],[f445,f103]) ).
fof(f103,plain,
! [X0] :
( ~ in(ordered_pair(sK2(X0),sK2(X0)),X0)
| reflexive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f445,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),relation_restriction(X2,X3))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2)
| ~ in(X1,X3)
| ~ in(X0,X3) ),
inference(resolution,[],[f129,f132]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) )
& ( ( in(X1,X3)
& in(X0,X2) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) )
& ( ( in(X1,X3)
& in(X0,X2) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X1))
| in(X0,relation_restriction(X2,X1))
| ~ in(X0,X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2) )
& ( ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2) )
& ( ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_wellord1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU252+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 10:57:14 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (32570)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (32574)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (32573)WARNING: value z3 for option sas not known
% 0.14/0.38 % (32571)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (32572)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (32575)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)
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (32576)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)
% 0.14/0.38 % (32577)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)
% 0.14/0.38 % (32573)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)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [2]
% 0.20/0.40 TRYING [3]
% 0.20/0.41 TRYING [1]
% 0.20/0.41 TRYING [2]
% 0.20/0.42 TRYING [3]
% 0.20/0.43 TRYING [4]
% 0.20/0.43 TRYING [4]
% 0.20/0.45 TRYING [5]
% 0.20/0.50 TRYING [5]
% 0.20/0.51 TRYING [5]
% 0.20/0.52 % (32573)First to succeed.
% 0.20/0.52 % (32573)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32570"
% 1.26/0.53 % (32573)Refutation found. Thanks to Tanya!
% 1.26/0.53 % SZS status Theorem for theBenchmark
% 1.26/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.53 % (32573)------------------------------
% 1.26/0.53 % (32573)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.26/0.53 % (32573)Termination reason: Refutation
% 1.26/0.53
% 1.26/0.53 % (32573)Memory used [KB]: 3315
% 1.26/0.53 % (32573)Time elapsed: 0.148 s
% 1.26/0.53 % (32573)Instructions burned: 341 (million)
% 1.26/0.53 % (32570)Success in time 0.155 s
%------------------------------------------------------------------------------