TSTP Solution File: SYN319+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 12:09:36 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 5 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 152 ( 51 ~; 43 |; 43 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% Number of variables : 64 ( 52 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,plain,
$false,
inference(subsumption_resolution,[],[f34,f30]) ).
fof(f30,plain,
! [X0] : big_h(X0),
inference(resolution,[],[f29,f21]) ).
fof(f21,plain,
! [X0] :
( ~ big_f(X0)
| big_h(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( sP1(sK3(X0,X1),X1)
| ~ big_h(sK3(X0,X1)) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(sK2(X0,X1))
& big_g(X0) )
| sP0(sK2(X0,X1),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f7,f12]) ).
fof(f12,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( sP1(X3,X1)
| ~ big_h(X3) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(X2)
& big_g(X0) )
| sP0(X2,X1) ) )
=> ( ( sP1(sK3(X0,X1),X1)
| ~ big_h(sK3(X0,X1)) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(sK2(X0,X1))
& big_g(X0) )
| sP0(sK2(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
! [X0,X1] :
? [X2,X3] :
( ( sP1(X3,X1)
| ~ big_h(X3) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(X2)
& big_g(X0) )
| sP0(X2,X1) ) ),
inference(definition_folding,[],[f4,f6,f5]) ).
fof(f5,plain,
! [X2,X1] :
( ( ~ big_g(X2)
& big_f(X1) )
| ~ sP0(X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f6,plain,
! [X3,X1] :
( ( ~ big_h(X3)
& ( big_g(X3)
| big_f(X3) )
& big_h(X1) )
| ~ sP1(X3,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f4,plain,
! [X0,X1] :
? [X2,X3] :
( ( ( ~ big_h(X3)
& ( big_g(X3)
| big_f(X3) )
& big_h(X1) )
| ~ big_h(X3) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(X2)
& big_g(X0) )
| ( ~ big_g(X2)
& big_f(X1) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
! [X0,X1] :
? [X2,X3] :
( ( ( ~ big_h(X3)
& ( big_g(X3)
| big_f(X3) )
& big_h(X1) )
| ~ big_h(X3) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(X2)
& big_g(X0) )
| ( ~ big_g(X2)
& big_f(X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
! [X2,X3] :
( ( ( big_f(X1)
=> big_g(X2) )
=> ( ~ big_f(X2)
& big_g(X0) ) )
=> ( ( ( big_g(X0)
| big_f(X0) )
=> big_h(X0) )
=> ( ( big_h(X1)
=> ( ( big_g(X3)
| big_f(X3) )
=> big_h(X3) ) )
& big_h(X3) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0,X1] :
! [X2,X3] :
( ( ( big_f(X1)
=> big_g(X2) )
=> ( ~ big_f(X2)
& big_g(X0) ) )
=> ( ( ( big_g(X0)
| big_f(X0) )
=> big_h(X0) )
=> ( ( big_h(X1)
=> ( ( big_g(X3)
| big_f(X3) )
=> big_h(X3) ) )
& big_h(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_2_5) ).
fof(f29,plain,
! [X0] : big_f(X0),
inference(subsumption_resolution,[],[f27,f25]) ).
fof(f25,plain,
! [X0,X1] :
( big_h(X1)
| big_f(X0) ),
inference(resolution,[],[f24,f22]) ).
fof(f22,plain,
! [X0] :
( ~ big_g(X0)
| big_h(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f24,plain,
! [X0,X1] :
( big_g(X1)
| big_f(X0) ),
inference(resolution,[],[f17,f19]) ).
fof(f19,plain,
! [X0,X1] :
( sP0(sK2(X0,X1),X1)
| big_g(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f17,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| big_f(X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ( ~ big_g(X0)
& big_f(X1) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
! [X2,X1] :
( ( ~ big_g(X2)
& big_f(X1) )
| ~ sP0(X2,X1) ),
inference(nnf_transformation,[],[f5]) ).
fof(f27,plain,
! [X2,X0,X1] :
( big_f(X0)
| ~ big_h(sK3(X1,X2)) ),
inference(resolution,[],[f26,f16]) ).
fof(f16,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ big_h(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( ( ~ big_h(X0)
& ( big_g(X0)
| big_f(X0) )
& big_h(X1) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
! [X3,X1] :
( ( ~ big_h(X3)
& ( big_g(X3)
| big_f(X3) )
& big_h(X1) )
| ~ sP1(X3,X1) ),
inference(nnf_transformation,[],[f6]) ).
fof(f26,plain,
! [X2,X0,X1] :
( sP1(sK3(X1,X2),X2)
| big_f(X0) ),
inference(resolution,[],[f25,f23]) ).
fof(f23,plain,
! [X0,X1] :
( ~ big_h(sK3(X0,X1))
| sP1(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f34,plain,
! [X0,X1] : ~ big_h(sK3(X0,X1)),
inference(resolution,[],[f32,f16]) ).
fof(f32,plain,
! [X0,X1] : sP1(sK3(X0,X1),X1),
inference(resolution,[],[f30,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 17:23:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (22721)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (22727)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [2,1]
% 0.13/0.37 TRYING [3,1]
% 0.13/0.37 TRYING [4,1]
% 0.13/0.37 TRYING [5,1]
% 0.13/0.37 % (22724)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (22725)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (22726)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)
% 0.13/0.37 % (22728)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (22729)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (22730)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2,1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (22728)First to succeed.
% 0.13/0.37 % (22729)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3,1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (22726)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [6,1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (22728)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22721"
% 0.13/0.37 TRYING [4,1]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 % (22728)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (22728)------------------------------
% 0.13/0.37 % (22728)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (22728)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (22728)Memory used [KB]: 747
% 0.13/0.37 % (22728)Time elapsed: 0.004 s
% 0.13/0.37 % (22728)Instructions burned: 3 (million)
% 0.13/0.37 % (22721)Success in time 0.018 s
%------------------------------------------------------------------------------