TSTP Solution File: SYN068+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN068+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 : n026.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 Apr 30 18:02:04 EDT 2024
% Result : Theorem 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 29 ~; 16 |; 23 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 35 ( 20 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,plain,
$false,
inference(subsumption_resolution,[],[f37,f32]) ).
fof(f32,plain,
sP1(sK4),
inference(resolution,[],[f27,f30]) ).
fof(f30,plain,
big_f(sK4),
inference(resolution,[],[f28,f21]) ).
fof(f21,plain,
! [X0] :
( ~ big_j(X0)
| big_f(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0] :
( big_f(X0)
| ~ big_j(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ? [X0] :
( ~ big_f(X0)
& big_j(X0) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
? [X0] :
( ~ big_f(X0)
& big_j(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel44) ).
fof(f28,plain,
big_j(sK4),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ! [X1] :
( big_h(sK4,X1)
| ~ big_g(X1) )
& big_j(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f8,f19]) ).
fof(f19,plain,
( ? [X0] :
( ! [X1] :
( big_h(X0,X1)
| ~ big_g(X1) )
& big_j(X0) )
=> ( ! [X1] :
( big_h(sK4,X1)
| ~ big_g(X1) )
& big_j(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( big_h(X0,X1)
| ~ big_g(X1) )
& big_j(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
? [X0] :
( ! [X1] :
( big_g(X1)
=> big_h(X0,X1) )
& big_j(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel44_2) ).
fof(f27,plain,
! [X0] :
( ~ big_f(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( ( sP1(X0)
& sP0(X0) )
| ~ big_f(X0) ),
inference(definition_folding,[],[f7,f10,f9]) ).
fof(f9,plain,
! [X0] :
( ? [X2] :
( big_h(X0,X2)
& big_g(X2) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X0] :
( ? [X1] :
( ~ big_h(X0,X1)
& big_g(X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f7,plain,
! [X0] :
( ( ? [X1] :
( ~ big_h(X0,X1)
& big_g(X1) )
& ? [X2] :
( big_h(X0,X2)
& big_g(X2) ) )
| ~ big_f(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
! [X0] :
( big_f(X0)
=> ( ? [X1] :
( ~ big_h(X0,X1)
& big_g(X1) )
& ? [X2] :
( big_h(X0,X2)
& big_g(X2) ) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( big_f(X0)
=> ( ? [X2] :
( ~ big_h(X0,X2)
& big_g(X2) )
& ? [X1] :
( big_h(X0,X1)
& big_g(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel44_1) ).
fof(f37,plain,
~ sP1(sK4),
inference(resolution,[],[f23,f35]) ).
fof(f35,plain,
big_h(sK4,sK2(sK4)),
inference(resolution,[],[f29,f33]) ).
fof(f33,plain,
big_g(sK2(sK4)),
inference(resolution,[],[f22,f32]) ).
fof(f22,plain,
! [X0] :
( ~ sP1(X0)
| big_g(sK2(X0)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ( ~ big_h(X0,sK2(X0))
& big_g(sK2(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f12,f13]) ).
fof(f13,plain,
! [X0] :
( ? [X1] :
( ~ big_h(X0,X1)
& big_g(X1) )
=> ( ~ big_h(X0,sK2(X0))
& big_g(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X0] :
( ? [X1] :
( ~ big_h(X0,X1)
& big_g(X1) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X1] :
( ~ big_g(X1)
| big_h(sK4,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f23,plain,
! [X0] :
( ~ big_h(X0,sK2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN068+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
% 0.15/0.34 % Computer : n026.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Apr 30 02:12:19 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % (8865)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (8866)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.36 % (8867)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.36 % (8870)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.36 % (8869)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.36 % (8868)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)
% 0.15/0.36 % (8871)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.36 % (8872)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)
% 0.15/0.36 TRYING [1]
% 0.15/0.36 Detected minimum model sizes of [1,1]
% 0.15/0.36 Detected maximum model sizes of [max,1]
% 0.15/0.36 Detected minimum model sizes of [1,1]
% 0.15/0.36 Detected maximum model sizes of [max,1]
% 0.15/0.36 % (8870)First to succeed.
% 0.15/0.36 TRYING [1,1]
% 0.15/0.36 TRYING [1,1]
% 0.15/0.36 TRYING [2]
% 0.15/0.36 TRYING [2,1]
% 0.15/0.37 TRYING [2,1]
% 0.15/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.37 % (8867)Refutation not found, incomplete strategy% (8867)------------------------------
% 0.15/0.37 % (8867)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 % (8867)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37
% 0.15/0.37 % (8867)Memory used [KB]: 724
% 0.15/0.37 % (8867)Time elapsed: 0.002 s
% 0.15/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.37 % (8867)Instructions burned: 2 (million)
% 0.15/0.37 % (8867)------------------------------
% 0.15/0.37 % (8867)------------------------------
% 0.15/0.37 % (8869)Refutation not found, incomplete strategy% (8869)------------------------------
% 0.15/0.37 % (8869)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37 % (8869)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37
% 0.15/0.37 % (8869)Memory used [KB]: 724
% 0.15/0.37 % (8869)Time elapsed: 0.002 s
% 0.15/0.37 % (8869)Instructions burned: 2 (million)
% 0.15/0.37 % (8869)------------------------------
% 0.15/0.37 % (8869)------------------------------
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (8871)Also succeeded, but the first one will report.
% 0.15/0.37 % (8866)Also succeeded, but the first one will report.
% 0.15/0.37 % (8870)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Theorem for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (8870)------------------------------
% 0.15/0.37 % (8870)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37 % (8870)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (8870)Memory used [KB]: 734
% 0.15/0.37 % (8870)Time elapsed: 0.002 s
% 0.15/0.37 % (8870)Instructions burned: 3 (million)
% 0.15/0.37 % (8870)------------------------------
% 0.15/0.37 % (8870)------------------------------
% 0.15/0.37 % (8865)Success in time 0.017 s
% 0.15/0.38 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.15/0.38 8865 Aborted by signal SIGABRT on /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % (8865)------------------------------
% 0.15/0.38 % (8865)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (8865)Termination reason: Unknown
% 0.15/0.38 % (8865)Termination phase: Unknown
% 0.15/0.38
% 0.15/0.38 % (8865)Memory used [KB]: 406
% 0.15/0.38 % (8865)Time elapsed: 0.029 s
% 0.15/0.38 % (8865)Instructions burned: 41 (million)
% 0.15/0.38 % (8865)------------------------------
% 0.15/0.38 % (8865)------------------------------
% 0.15/0.38 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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%------------------------------------------------------------------------------