TSTP Solution File: SYN056+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN056+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 : n010.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 08:33:55 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 8 unt; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 145 ( 56 ~; 55 |; 18 &)
% ( 6 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 56 ( 42 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,plain,
$false,
inference(subsumption_resolution,[],[f69,f60]) ).
fof(f60,plain,
big_r(sK1),
inference(resolution,[],[f57,f47]) ).
fof(f47,plain,
big_p(sK1),
inference(duplicate_literal_removal,[],[f46]) ).
fof(f46,plain,
( big_p(sK1)
| big_p(sK1) ),
inference(resolution,[],[f44,f30]) ).
fof(f30,plain,
( big_p(sK2)
| big_p(sK1) ),
inference(resolution,[],[f25,f20]) ).
fof(f20,plain,
( big_q(sK0)
| big_p(sK1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( ( ~ big_s(sK0)
& big_q(sK0) )
| ( ~ big_r(sK1)
& big_p(sK1) ) )
& ( ! [X2] :
( big_s(X2)
| ~ big_q(X2) )
| ! [X3] :
( big_r(X3)
| ~ big_p(X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11,f10]) ).
fof(f10,plain,
( ? [X0] :
( ~ big_s(X0)
& big_q(X0) )
=> ( ~ big_s(sK0)
& big_q(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ? [X1] :
( ~ big_r(X1)
& big_p(X1) )
=> ( ~ big_r(sK1)
& big_p(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ( ? [X0] :
( ~ big_s(X0)
& big_q(X0) )
| ? [X1] :
( ~ big_r(X1)
& big_p(X1) ) )
& ( ! [X2] :
( big_s(X2)
| ~ big_q(X2) )
| ! [X3] :
( big_r(X3)
| ~ big_p(X3) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
( ( ? [X1] :
( ~ big_s(X1)
& big_q(X1) )
| ? [X0] :
( ~ big_r(X0)
& big_p(X0) ) )
& ( ! [X1] :
( big_s(X1)
| ~ big_q(X1) )
| ! [X0] :
( big_r(X0)
| ~ big_p(X0) ) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
( ! [X0] :
( big_r(X0)
| ~ big_p(X0) )
<~> ! [X1] :
( big_s(X1)
| ~ big_q(X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( ! [X0] :
( big_p(X0)
=> big_r(X0) )
<=> ! [X1] :
( big_q(X1)
=> big_s(X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( ! [X0] :
( big_p(X0)
=> big_r(X0) )
<=> ! [X1] :
( big_q(X1)
=> big_s(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel26) ).
fof(f25,plain,
! [X1] :
( ~ big_q(X1)
| big_p(sK2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( big_p(sK2)
| ! [X1] : ~ big_q(X1) )
& ( big_q(sK3)
| ! [X3] : ~ big_p(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f14,f16,f15]) ).
fof(f15,plain,
( ? [X0] : big_p(X0)
=> big_p(sK2) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X2] : big_q(X2)
=> big_q(sK3) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ( ? [X0] : big_p(X0)
| ! [X1] : ~ big_q(X1) )
& ( ? [X2] : big_q(X2)
| ! [X3] : ~ big_p(X3) ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
( ( ? [X0] : big_p(X0)
| ! [X1] : ~ big_q(X1) )
& ( ? [X1] : big_q(X1)
| ! [X0] : ~ big_p(X0) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ? [X0] : big_p(X0)
<=> ? [X1] : big_q(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel26_1) ).
fof(f44,plain,
! [X0] :
( ~ big_p(X0)
| big_p(sK1) ),
inference(subsumption_resolution,[],[f42,f22]) ).
fof(f22,plain,
( ~ big_s(sK0)
| big_p(sK1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f42,plain,
! [X0] :
( big_s(sK0)
| ~ big_p(X0)
| big_p(sK1) ),
inference(resolution,[],[f41,f20]) ).
fof(f41,plain,
! [X0,X1] :
( ~ big_q(X1)
| big_s(X1)
| ~ big_p(X0) ),
inference(subsumption_resolution,[],[f26,f19]) ).
fof(f19,plain,
! [X2,X3] :
( ~ big_q(X2)
| big_s(X2)
| big_r(X3)
| ~ big_p(X3) ),
inference(cnf_transformation,[],[f12]) ).
fof(f26,plain,
! [X0,X1] :
( big_s(X1)
| ~ big_r(X0)
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( ( big_r(X0)
| ~ big_s(X1) )
& ( big_s(X1)
| ~ big_r(X0) ) )
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( ( big_r(X0)
<=> big_s(X1) )
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( ( big_r(X0)
<=> big_s(X1) )
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ( big_q(X1)
& big_p(X0) )
=> ( big_r(X0)
<=> big_s(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel26_2) ).
fof(f57,plain,
! [X0] :
( ~ big_p(X0)
| big_r(X0) ),
inference(resolution,[],[f55,f34]) ).
fof(f34,plain,
big_q(sK3),
inference(subsumption_resolution,[],[f31,f24]) ).
fof(f24,plain,
! [X3] :
( ~ big_p(X3)
| big_q(sK3) ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
( big_p(sK1)
| big_q(sK3) ),
inference(resolution,[],[f30,f24]) ).
fof(f55,plain,
! [X0,X1] :
( ~ big_q(X1)
| big_r(X0)
| ~ big_p(X0) ),
inference(subsumption_resolution,[],[f27,f19]) ).
fof(f27,plain,
! [X0,X1] :
( big_r(X0)
| ~ big_s(X1)
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f69,plain,
~ big_r(sK1),
inference(resolution,[],[f66,f23]) ).
fof(f23,plain,
( ~ big_s(sK0)
| ~ big_r(sK1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f66,plain,
big_s(sK0),
inference(resolution,[],[f63,f35]) ).
fof(f35,plain,
big_p(sK2),
inference(resolution,[],[f34,f25]) ).
fof(f63,plain,
! [X0] :
( ~ big_p(X0)
| big_s(sK0) ),
inference(resolution,[],[f61,f41]) ).
fof(f61,plain,
big_q(sK0),
inference(resolution,[],[f60,f21]) ).
fof(f21,plain,
( ~ big_r(sK1)
| big_q(sK0) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN056+1 : TPTP v8.2.0. Released v2.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 14:48:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (14704)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (14707)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)
% 0.15/0.38 % (14705)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (14706)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (14708)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (14709)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39 % (14710)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39 % (14711)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)
% 0.15/0.39 Detected minimum model sizes of [1]
% 0.15/0.39 Detected maximum model sizes of [4]
% 0.15/0.39 Detected minimum model sizes of [1,1]
% 0.15/0.39 Detected minimum model sizes of [1,1]
% 0.15/0.39 Detected maximum model sizes of [2,2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 Detected maximum model sizes of [2,2]
% 0.15/0.39 TRYING [1,1]
% 0.15/0.39 TRYING [1,1]
% 0.15/0.39 Detected minimum model sizes of [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 Detected maximum model sizes of [4]
% 0.15/0.39 TRYING [2,1]
% 0.15/0.39 TRYING [2,1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2,2]
% 0.15/0.39 % (14705)Also succeeded, but the first one will report.
% 0.15/0.39 % (14709)First to succeed.
% 0.15/0.39 TRYING [2,2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.39 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.39 % (14706)Refutation not found, incomplete strategy% (14706)------------------------------
% 0.15/0.39 % (14706)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (14708)Refutation not found, incomplete strategy% (14708)------------------------------
% 0.15/0.39 % (14708)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (14706)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39
% 0.15/0.39 % (14706)Memory used [KB]: 729
% 0.15/0.39 % (14706)Time elapsed: 0.004 s
% 0.15/0.39 % (14706)Instructions burned: 3 (million)
% 0.15/0.39 % (14708)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39 % (14710)Also succeeded, but the first one will report.
% 0.15/0.39
% 0.15/0.39 % (14711)Also succeeded, but the first one will report.
% 0.15/0.39 % (14708)Memory used [KB]: 729
% 0.15/0.39 % (14708)Time elapsed: 0.004 s
% 0.15/0.39 % (14708)Instructions burned: 3 (million)
% 0.15/0.39 % (14707)Also succeeded, but the first one will report.
% 0.15/0.39 % (14706)------------------------------
% 0.15/0.39 % (14706)------------------------------
% 0.15/0.39 % (14709)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14704"
% 0.15/0.39 % (14708)------------------------------
% 0.15/0.39 % (14708)------------------------------
% 0.15/0.39 % (14709)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (14709)------------------------------
% 0.15/0.39 % (14709)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (14709)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (14709)Memory used [KB]: 749
% 0.15/0.39 % (14709)Time elapsed: 0.004 s
% 0.15/0.39 % (14709)Instructions burned: 4 (million)
% 0.15/0.39 % (14704)Success in time 0.007 s
%------------------------------------------------------------------------------