TSTP Solution File: SYN065+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN065+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 : n008.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 12:08:44 EDT 2024
% Result : Theorem 0.17s 0.35s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 50 ( 25 ~; 14 |; 6 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 48 ( 40 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,plain,
$false,
inference(resolution,[],[f28,f18]) ).
fof(f18,plain,
! [X1] : ~ big_h(sK1,X1),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1] : ~ big_h(sK1,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f6,f10]) ).
fof(f10,plain,
( ? [X0] :
! [X1] : ~ big_h(X0,X1)
=> ! [X1] : ~ big_h(sK1,X1) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0] :
! [X1] : ~ big_h(X0,X1),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0] :
? [X1] : big_h(X0,X1),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0] :
? [X1] : big_h(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel36) ).
fof(f28,plain,
! [X0] : big_h(X0,sK2(sK3(X0))),
inference(resolution,[],[f26,f20]) ).
fof(f20,plain,
! [X0] : big_g(X0,sK3(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] : big_g(X0,sK3(X0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f2,f14]) ).
fof(f14,plain,
! [X0] :
( ? [X1] : big_g(X0,X1)
=> big_g(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
! [X0] :
? [X1] : big_g(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel36_2) ).
fof(f26,plain,
! [X0,X1] :
( ~ big_g(X0,X1)
| big_h(X0,sK2(X1)) ),
inference(resolution,[],[f25,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ~ big_g(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( ~ big_g(X1,X0)
& ~ big_f(X1,X0) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
( ( ~ big_g(X0,X1)
& ~ big_f(X0,X1) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( ( ~ big_g(X0,X1)
& ~ big_f(X0,X1) )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f25,plain,
! [X0,X1] :
( sP0(X1,X0)
| big_h(X0,sK2(X1)) ),
inference(resolution,[],[f23,f19]) ).
fof(f19,plain,
! [X0] : big_f(X0,sK2(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] : big_f(X0,sK2(X0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f1,f12]) ).
fof(f12,plain,
! [X0] :
( ? [X1] : big_f(X0,X1)
=> big_f(X0,sK2(X0)) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
! [X0] :
? [X1] : big_f(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel36_1) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ big_f(X1,X2)
| big_h(X0,X2)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( ! [X2] :
( big_h(X0,X2)
| ( ~ big_g(X1,X2)
& ~ big_f(X1,X2) ) )
| sP0(X1,X0) ),
inference(definition_folding,[],[f7,f8]) ).
fof(f7,plain,
! [X0,X1] :
( ! [X2] :
( big_h(X0,X2)
| ( ~ big_g(X1,X2)
& ~ big_f(X1,X2) ) )
| ( ~ big_g(X0,X1)
& ~ big_f(X0,X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ( big_g(X0,X1)
| big_f(X0,X1) )
=> ! [X2] :
( ( big_g(X1,X2)
| big_f(X1,X2) )
=> big_h(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel36_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN065+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n008.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 : Fri May 3 17:59:37 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (24926)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.35 % (24932)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.17/0.35 % (24930)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.17/0.35 % (24933)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)
% 0.17/0.35 % (24928)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.35 % (24931)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.17/0.35 % (24929)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)
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [2]
% 0.17/0.35 TRYING [2]
% 0.17/0.35 TRYING [2]
% 0.17/0.35 % (24929)Also succeeded, but the first one will report.
% 0.17/0.35 % (24932)Also succeeded, but the first one will report.
% 0.17/0.35 % (24931)First to succeed.
% 0.17/0.35 TRYING [3]
% 0.17/0.35 TRYING [3]
% 0.17/0.35 TRYING [3]
% 0.17/0.35 % (24933)Also succeeded, but the first one will report.
% 0.17/0.35 % (24930)Also succeeded, but the first one will report.
% 0.17/0.35 % (24928)Also succeeded, but the first one will report.
% 0.17/0.35 % (24931)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24926"
% 0.17/0.35 % (24927)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.17/0.35 % (24931)Refutation found. Thanks to Tanya!
% 0.17/0.35 % SZS status Theorem for theBenchmark
% 0.17/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.35 % (24931)------------------------------
% 0.17/0.35 % (24931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.35 % (24931)Termination reason: Refutation
% 0.17/0.35
% 0.17/0.35 % (24931)Memory used [KB]: 745
% 0.17/0.35 % (24931)Time elapsed: 0.003 s
% 0.17/0.35 % (24931)Instructions burned: 3 (million)
% 0.17/0.35 % (24926)Success in time 0.016 s
%------------------------------------------------------------------------------