TSTP Solution File: SYN059+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN059+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Tue May 21 08:33:57 EDT 2024
% Result : Theorem 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 67 ( 14 unt; 0 def)
% Number of atoms : 243 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 274 ( 98 ~; 99 |; 54 &)
% ( 6 <=>; 14 =>; 0 <=; 3 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 64 ( 46 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f82,plain,
$false,
inference(subsumption_resolution,[],[f81,f64]) ).
fof(f64,plain,
sP0,
inference(subsumption_resolution,[],[f63,f36]) ).
fof(f36,plain,
( ~ sP1
| sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( sP1
| ( ~ big_j(sK5)
& big_g(sK5) )
| ~ sP0 )
& ( ( ! [X1] :
( big_j(X1)
| ~ big_g(X1) )
& sP0 )
| ~ sP1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f19,f20]) ).
fof(f20,plain,
( ? [X0] :
( ~ big_j(X0)
& big_g(X0) )
=> ( ~ big_j(sK5)
& big_g(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ( sP1
| ? [X0] :
( ~ big_j(X0)
& big_g(X0) )
| ~ sP0 )
& ( ( ! [X1] :
( big_j(X1)
| ~ big_g(X1) )
& sP0 )
| ~ sP1 ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
( ( sP1
| ? [X0] :
( ~ big_j(X0)
& big_g(X0) )
| ~ sP0 )
& ( ( ! [X0] :
( big_j(X0)
| ~ big_g(X0) )
& sP0 )
| ~ sP1 ) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
( ( sP1
| ? [X0] :
( ~ big_j(X0)
& big_g(X0) )
| ~ sP0 )
& ( ( ! [X0] :
( big_j(X0)
| ~ big_g(X0) )
& sP0 )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( sP1
<=> ( ! [X0] :
( big_j(X0)
| ~ big_g(X0) )
& sP0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f63,plain,
( sP0
| sP1 ),
inference(resolution,[],[f62,f43]) ).
fof(f43,plain,
( sP2
| sP1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( ~ sP2
| ~ sP1 )
& ( sP2
| sP1 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( sP1
<~> sP2 ),
inference(definition_folding,[],[f8,f11,f10,f9]) ).
fof(f9,plain,
( sP0
<=> ! [X1] :
( big_h(X1)
| ~ big_f(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( sP2
<=> ! [X2,X3] :
( ( big_j(X3)
& big_h(X2) )
| ~ big_g(X3)
| ~ big_f(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f8,plain,
( ( ! [X0] :
( big_j(X0)
| ~ big_g(X0) )
& ! [X1] :
( big_h(X1)
| ~ big_f(X1) ) )
<~> ! [X2,X3] :
( ( big_j(X3)
& big_h(X2) )
| ~ big_g(X3)
| ~ big_f(X2) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
( ( ! [X0] :
( big_j(X0)
| ~ big_g(X0) )
& ! [X1] :
( big_h(X1)
| ~ big_f(X1) ) )
<~> ! [X2,X3] :
( ( big_j(X3)
& big_h(X2) )
| ~ big_g(X3)
| ~ big_f(X2) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
~ ( ( ! [X0] :
( big_g(X0)
=> big_j(X0) )
& ! [X1] :
( big_f(X1)
=> big_h(X1) ) )
<=> ! [X2,X3] :
( ( big_g(X3)
& big_f(X2) )
=> ( big_j(X3)
& big_h(X2) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( ( ! [X2] :
( big_g(X2)
=> big_j(X2) )
& ! [X0] :
( big_f(X0)
=> big_h(X0) ) )
<=> ! [X3,X1] :
( ( big_g(X1)
& big_f(X3) )
=> ( big_j(X1)
& big_h(X3) ) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( ( ! [X2] :
( big_g(X2)
=> big_j(X2) )
& ! [X0] :
( big_f(X0)
=> big_h(X0) ) )
<=> ! [X3,X1] :
( ( big_g(X1)
& big_f(X3) )
=> ( big_j(X1)
& big_h(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
fof(f62,plain,
( ~ sP2
| sP0 ),
inference(subsumption_resolution,[],[f61,f42]) ).
fof(f42,plain,
( ~ big_h(sK6)
| sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( sP0
| ( ~ big_h(sK6)
& big_f(sK6) ) )
& ( ! [X1] :
( big_h(X1)
| ~ big_f(X1) )
| ~ sP0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f23,f24]) ).
fof(f24,plain,
( ? [X0] :
( ~ big_h(X0)
& big_f(X0) )
=> ( ~ big_h(sK6)
& big_f(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ( sP0
| ? [X0] :
( ~ big_h(X0)
& big_f(X0) ) )
& ( ! [X1] :
( big_h(X1)
| ~ big_f(X1) )
| ~ sP0 ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
( ( sP0
| ? [X1] :
( ~ big_h(X1)
& big_f(X1) ) )
& ( ! [X1] :
( big_h(X1)
| ~ big_f(X1) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f61,plain,
( big_h(sK6)
| ~ sP2
| sP0 ),
inference(resolution,[],[f57,f41]) ).
fof(f41,plain,
( big_f(sK6)
| sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f57,plain,
! [X0] :
( ~ big_f(X0)
| big_h(X0)
| ~ sP2 ),
inference(resolution,[],[f31,f46]) ).
fof(f46,plain,
big_g(sK8),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
big_g(sK8),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f6,f29]) ).
fof(f29,plain,
( ? [X0] : big_g(X0)
=> big_g(sK8) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0] : big_g(X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
? [X1] : big_g(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29_2) ).
fof(f31,plain,
! [X2,X3] :
( ~ big_g(X3)
| big_h(X2)
| ~ big_f(X2)
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( sP2
| ( ( ~ big_j(sK4)
| ~ big_h(sK3) )
& big_g(sK4)
& big_f(sK3) ) )
& ( ! [X2,X3] :
( ( big_j(X3)
& big_h(X2) )
| ~ big_g(X3)
| ~ big_f(X2) )
| ~ sP2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f14,f15]) ).
fof(f15,plain,
( ? [X0,X1] :
( ( ~ big_j(X1)
| ~ big_h(X0) )
& big_g(X1)
& big_f(X0) )
=> ( ( ~ big_j(sK4)
| ~ big_h(sK3) )
& big_g(sK4)
& big_f(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ( sP2
| ? [X0,X1] :
( ( ~ big_j(X1)
| ~ big_h(X0) )
& big_g(X1)
& big_f(X0) ) )
& ( ! [X2,X3] :
( ( big_j(X3)
& big_h(X2) )
| ~ big_g(X3)
| ~ big_f(X2) )
| ~ sP2 ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
( ( sP2
| ? [X2,X3] :
( ( ~ big_j(X3)
| ~ big_h(X2) )
& big_g(X3)
& big_f(X2) ) )
& ( ! [X2,X3] :
( ( big_j(X3)
& big_h(X2) )
| ~ big_g(X3)
| ~ big_f(X2) )
| ~ sP2 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f81,plain,
~ sP0,
inference(subsumption_resolution,[],[f80,f71]) ).
fof(f71,plain,
~ sP1,
inference(resolution,[],[f68,f44]) ).
fof(f44,plain,
( ~ sP2
| ~ sP1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f68,plain,
sP2,
inference(resolution,[],[f64,f56]) ).
fof(f56,plain,
( ~ sP0
| sP2 ),
inference(subsumption_resolution,[],[f54,f52]) ).
fof(f52,plain,
( ~ big_h(sK3)
| sP2 ),
inference(duplicate_literal_removal,[],[f51]) ).
fof(f51,plain,
( sP2
| sP2
| ~ big_h(sK3) ),
inference(resolution,[],[f50,f35]) ).
fof(f35,plain,
( ~ big_j(sK4)
| sP2
| ~ big_h(sK3) ),
inference(cnf_transformation,[],[f16]) ).
fof(f50,plain,
( big_j(sK4)
| sP2 ),
inference(subsumption_resolution,[],[f49,f43]) ).
fof(f49,plain,
( big_j(sK4)
| ~ sP1
| sP2 ),
inference(resolution,[],[f37,f34]) ).
fof(f34,plain,
( big_g(sK4)
| sP2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X1] :
( ~ big_g(X1)
| big_j(X1)
| ~ sP1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f54,plain,
( big_h(sK3)
| ~ sP0
| sP2 ),
inference(resolution,[],[f40,f33]) ).
fof(f33,plain,
( big_f(sK3)
| sP2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f40,plain,
! [X1] :
( ~ big_f(X1)
| big_h(X1)
| ~ sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f80,plain,
( sP1
| ~ sP0 ),
inference(resolution,[],[f77,f39]) ).
fof(f39,plain,
( ~ big_j(sK5)
| sP1
| ~ sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f77,plain,
big_j(sK5),
inference(resolution,[],[f76,f45]) ).
fof(f45,plain,
big_f(sK7),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
big_f(sK7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f1,f27]) ).
fof(f27,plain,
( ? [X0] : big_f(X0)
=> big_f(sK7) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] : big_f(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29_1) ).
fof(f76,plain,
! [X0] :
( ~ big_f(X0)
| big_j(sK5) ),
inference(subsumption_resolution,[],[f73,f68]) ).
fof(f73,plain,
! [X0] :
( big_j(sK5)
| ~ big_f(X0)
| ~ sP2 ),
inference(resolution,[],[f72,f32]) ).
fof(f32,plain,
! [X2,X3] :
( ~ big_g(X3)
| big_j(X3)
| ~ big_f(X2)
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f72,plain,
big_g(sK5),
inference(subsumption_resolution,[],[f69,f71]) ).
fof(f69,plain,
( big_g(sK5)
| sP1 ),
inference(resolution,[],[f64,f38]) ).
fof(f38,plain,
( ~ sP0
| big_g(sK5)
| sP1 ),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SYN059+1 : TPTP v8.2.0. Released v2.0.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon May 20 15:02:52 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (19759)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (19764)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.35 % (19761)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35 % (19765)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.35 % (19763)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.35 % (19762)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)
% 0.11/0.35 % (19766)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)
% 0.11/0.35 Detected minimum model sizes of [1]
% 0.11/0.35 Detected maximum model sizes of [6]
% 0.11/0.35 Detected minimum model sizes of [1,1]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 Detected minimum model sizes of [1,1]
% 0.11/0.35 Detected maximum model sizes of [3,3]
% 0.11/0.35 Detected maximum model sizes of [3,3]
% 0.11/0.35 TRYING [1,1]
% 0.11/0.35 TRYING [1,1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [2,1]
% 0.11/0.35 TRYING [2,1]
% 0.11/0.35 % (19764)First to succeed.
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [3,1]
% 0.11/0.35 TRYING [3,1]
% 0.11/0.35 % (19765)Also succeeded, but the first one will report.
% 0.11/0.35 % (19766)Also succeeded, but the first one will report.
% 0.11/0.35 TRYING [2,2]
% 0.11/0.35 TRYING [2,2]
% 0.11/0.35 % (19760)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35 TRYING [3,2]
% 0.11/0.35 TRYING [3,2]
% 0.11/0.35 % (19762)Also succeeded, but the first one will report.
% 0.11/0.35 % (19764)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19759"
% 0.11/0.35 TRYING [3,3]
% 0.11/0.35 TRYING [3,3]
% 0.11/0.35 Cannot enumerate next child to try in an incomplete setup
% 0.11/0.35 % (19761)Refutation not found, incomplete strategy% (19761)------------------------------
% 0.11/0.35 % (19761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.35 % (19761)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.35 Detected minimum model sizes of [1]
% 0.11/0.35
% 0.11/0.35 % (19761)Memory used [KB]: 730
% 0.11/0.35 % (19761)Time elapsed: 0.004 s
% 0.11/0.35 % (19761)Instructions burned: 5 (million)
% 0.11/0.35 Detected maximum model sizes of [6]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 % (19764)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Theorem for theBenchmark
% 0.11/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (19764)------------------------------
% 0.11/0.35 % (19764)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.35 % (19764)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (19764)Memory used [KB]: 752
% 0.11/0.35 % (19764)Time elapsed: 0.003 s
% 0.11/0.35 % (19764)Instructions burned: 4 (million)
% 0.11/0.35 % (19759)Success in time 0.016 s
%------------------------------------------------------------------------------