TSTP Solution File: SYN058+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN058+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 12:08:41 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 71 ( 23 ~; 15 |; 20 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 36 ( 22 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,plain,
$false,
inference(resolution,[],[f32,f29]) ).
fof(f29,plain,
big_s(sK1),
inference(resolution,[],[f28,f25]) ).
fof(f25,plain,
( ~ big_q(sK2)
| big_s(sK1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( big_s(sK1)
& big_q(sK1) )
| ~ big_q(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f16,f18,f17]) ).
fof(f17,plain,
( ? [X0] :
( big_s(X0)
& big_q(X0) )
=> ( big_s(sK1)
& big_q(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X1] : ~ big_q(X1)
=> ~ big_q(sK2) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X0] :
( big_s(X0)
& big_q(X0) )
| ? [X1] : ~ big_q(X1) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
( ? [X1] :
( big_s(X1)
& big_q(X1) )
| ? [X0] : ~ big_q(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
( ! [X0] : big_q(X0)
=> ? [X1] :
( big_s(X1)
& big_q(X1) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,plain,
( ! [X0] :
( big_r(X0)
| big_q(X0) )
=> ? [X1] :
( big_s(X1)
& big_q(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
( ! [X0] :
( big_r(X0)
| big_q(X0) )
=> ? [X2] :
( big_s(X2)
& big_q(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel28_2) ).
fof(f28,plain,
! [X0] : big_q(X0),
inference(resolution,[],[f27,f21]) ).
fof(f21,plain,
big_p(sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ~ big_g(sK0)
& big_f(sK0)
& big_p(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f14]) ).
fof(f14,plain,
( ? [X0] :
( ~ big_g(X0)
& big_f(X0)
& big_p(X0) )
=> ( ~ big_g(sK0)
& big_f(sK0)
& big_p(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0] :
( ~ big_g(X0)
& big_f(X0)
& big_p(X0) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
? [X0] :
( ~ big_g(X0)
& big_f(X0)
& big_p(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0] :
( ( big_f(X0)
& big_p(X0) )
=> big_g(X0) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0] :
( ( big_f(X0)
& big_p(X0) )
=> big_g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel28) ).
fof(f27,plain,
! [X0,X1] :
( ~ big_p(X0)
| big_q(X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ! [X1] : big_q(X1)
| ~ big_p(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( big_p(X0)
=> ! [X1] : big_q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel28_1) ).
fof(f32,plain,
! [X0] : ~ big_s(X0),
inference(subsumption_resolution,[],[f31,f23]) ).
fof(f23,plain,
~ big_g(sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f31,plain,
! [X0] :
( big_g(sK0)
| ~ big_s(X0) ),
inference(resolution,[],[f26,f22]) ).
fof(f22,plain,
big_f(sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
! [X0,X1] :
( ~ big_f(X0)
| big_g(X0)
| ~ big_s(X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ! [X0] :
( big_g(X0)
| ~ big_f(X0) )
| ! [X1] : ~ big_s(X1) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
( ! [X1] :
( big_g(X1)
| ~ big_f(X1) )
| ! [X0] : ~ big_s(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
( ? [X0] : big_s(X0)
=> ! [X1] :
( big_f(X1)
=> big_g(X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( ? [X0] : big_s(X0)
=> ! [X2] :
( big_f(X2)
=> big_g(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel28_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN058+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 17:44:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (1149)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (1150)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % (1151)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (1153)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (1155)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (1152)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)
% 0.13/0.36 % (1154)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (1156)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)
% 0.13/0.36 Detected minimum model sizes of [1]
% 0.13/0.36 Detected minimum model sizes of [1,1,1]
% 0.13/0.36 Detected minimum model sizes of [1,1,1]
% 0.13/0.36 Detected maximum model sizes of [1,1,1]
% 0.13/0.36 Detected maximum model sizes of [1,1,1]
% 0.13/0.36 Detected maximum model sizes of [3]
% 0.13/0.36 TRYING [1,1,1]
% 0.13/0.36 TRYING [1,1,1]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 Cannot enumerate next child to try in an incomplete setup
% 0.13/0.36 Cannot enumerate next child to try in an incomplete setup
% 0.13/0.36 Detected minimum model sizes of [1]
% 0.13/0.36 Detected maximum model sizes of [3]
% 0.13/0.36 % (1151)Refutation not found, incomplete strategy% (1151)------------------------------
% 0.13/0.36 % (1151)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 TRYING [2]
% 0.13/0.36 % (1151)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.36
% 0.13/0.36 % (1151)Memory used [KB]: 727
% 0.13/0.36 % (1151)Time elapsed: 0.003 s
% 0.13/0.36 % (1154)First to succeed.
% 0.13/0.36 % (1151)Instructions burned: 2 (million)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 % (1150)Also succeeded, but the first one will report.
% 0.13/0.36 % (1153)Refutation not found, incomplete strategy% (1153)------------------------------
% 0.13/0.36 % (1153)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (1153)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.36
% 0.13/0.36 TRYING [2]
% 0.13/0.36 % (1153)Memory used [KB]: 727
% 0.13/0.36 % (1153)Time elapsed: 0.003 s
% 0.13/0.36 % (1153)Instructions burned: 2 (million)
% 0.13/0.36 % (1156)Also succeeded, but the first one will report.
% 0.13/0.36 % (1155)Also succeeded, but the first one will report.
% 0.13/0.36 % (1151)------------------------------
% 0.13/0.36 % (1151)------------------------------
% 0.13/0.36 % (1152)Also succeeded, but the first one will report.
% 0.13/0.36 % (1153)------------------------------
% 0.13/0.36 % (1153)------------------------------
% 0.13/0.36 % (1154)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1149"
% 0.13/0.36 % (1154)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 % (1154)------------------------------
% 0.13/0.36 % (1154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (1154)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (1154)Memory used [KB]: 733
% 0.13/0.36 % (1154)Time elapsed: 0.003 s
% 0.13/0.36 % (1154)Instructions burned: 2 (million)
% 0.13/0.36 % (1149)Success in time 0.006 s
%------------------------------------------------------------------------------