TSTP Solution File: SYN347+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN347+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 : Sun May 5 12:09:48 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 1 unt; 0 def)
% Number of atoms : 197 ( 0 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 256 ( 100 ~; 104 |; 36 &)
% ( 12 <=>; 2 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 69 ( 51 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,plain,
$false,
inference(avatar_sat_refutation,[],[f23,f27,f34,f46,f58,f79]) ).
fof(f79,plain,
( ~ spl3_1
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| ~ spl3_1
| ~ spl3_5 ),
inference(resolution,[],[f66,f64]) ).
fof(f64,plain,
( ~ big_f(sK0,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(factoring,[],[f47]) ).
fof(f47,plain,
( ! [X0] :
( ~ big_f(X0,sK2(X0,sK1))
| ~ big_f(sK0,sK2(X0,sK1)) )
| ~ spl3_1 ),
inference(resolution,[],[f18,f14]) ).
fof(f14,plain,
! [X2,X3] :
( ~ big_f(sK1,sK2(X2,X3))
| ~ big_f(sK0,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X2,X3] :
( ( ~ big_f(sK1,sK2(X2,X3))
| ~ big_f(sK0,sK2(X2,X3)) )
& ( big_f(sK1,sK2(X2,X3))
| big_f(sK0,sK2(X2,X3)) )
& ( ~ big_f(sK0,sK1)
| ( ( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) )
& ( big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) ) ) )
& ( big_f(sK0,sK1)
| ( ( big_f(X2,sK2(X2,X3))
| ~ big_f(X3,sK2(X2,X3)) )
& ( big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5,f7,f6]) ).
fof(f6,plain,
( ? [X0,X1] :
! [X2,X3] :
? [X4] :
( ( ~ big_f(X1,X4)
| ~ big_f(X0,X4) )
& ( big_f(X1,X4)
| big_f(X0,X4) )
& ( ~ big_f(X0,X1)
| ( ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X3,X4)
| big_f(X2,X4) ) ) )
& ( big_f(X0,X1)
| ( ( big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( big_f(X3,X4)
| ~ big_f(X2,X4) ) ) ) )
=> ! [X3,X2] :
? [X4] :
( ( ~ big_f(sK1,X4)
| ~ big_f(sK0,X4) )
& ( big_f(sK1,X4)
| big_f(sK0,X4) )
& ( ~ big_f(sK0,sK1)
| ( ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X3,X4)
| big_f(X2,X4) ) ) )
& ( big_f(sK0,sK1)
| ( ( big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( big_f(X3,X4)
| ~ big_f(X2,X4) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
! [X2,X3] :
( ? [X4] :
( ( ~ big_f(sK1,X4)
| ~ big_f(sK0,X4) )
& ( big_f(sK1,X4)
| big_f(sK0,X4) )
& ( ~ big_f(sK0,sK1)
| ( ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X3,X4)
| big_f(X2,X4) ) ) )
& ( big_f(sK0,sK1)
| ( ( big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( big_f(X3,X4)
| ~ big_f(X2,X4) ) ) ) )
=> ( ( ~ big_f(sK1,sK2(X2,X3))
| ~ big_f(sK0,sK2(X2,X3)) )
& ( big_f(sK1,sK2(X2,X3))
| big_f(sK0,sK2(X2,X3)) )
& ( ~ big_f(sK0,sK1)
| ( ( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) )
& ( big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) ) ) )
& ( big_f(sK0,sK1)
| ( ( big_f(X2,sK2(X2,X3))
| ~ big_f(X3,sK2(X2,X3)) )
& ( big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
? [X0,X1] :
! [X2,X3] :
? [X4] :
( ( ~ big_f(X1,X4)
| ~ big_f(X0,X4) )
& ( big_f(X1,X4)
| big_f(X0,X4) )
& ( ~ big_f(X0,X1)
| ( ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X3,X4)
| big_f(X2,X4) ) ) )
& ( big_f(X0,X1)
| ( ( big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( big_f(X3,X4)
| ~ big_f(X2,X4) ) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
? [X0,X1] :
! [X2,X3] :
? [X4] :
( ( ~ big_f(X1,X4)
| ~ big_f(X0,X4) )
& ( big_f(X1,X4)
| big_f(X0,X4) )
& ( ~ big_f(X0,X1)
| ( ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X3,X4)
| big_f(X2,X4) ) ) )
& ( big_f(X0,X1)
| ( ( big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( big_f(X3,X4)
| ~ big_f(X2,X4) ) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
? [X0,X1] :
! [X2,X3] :
? [X4] :
( ( big_f(X0,X4)
<~> big_f(X1,X4) )
& ( ( big_f(X2,X4)
<=> big_f(X3,X4) )
<~> big_f(X0,X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
! [X4] :
( ( big_f(X0,X4)
<=> big_f(X1,X4) )
| ( ( big_f(X2,X4)
<=> big_f(X3,X4) )
<=> big_f(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
? [X2,X3] :
! [X4] :
( ( big_f(X0,X4)
<=> big_f(X1,X4) )
| ( ( big_f(X2,X4)
<=> big_f(X3,X4) )
<=> big_f(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_17_3) ).
fof(f18,plain,
( ! [X2,X3] :
( big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl3_1
<=> ! [X2,X3] :
( big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f66,plain,
( big_f(sK0,sK2(sK0,sK1))
| ~ spl3_1
| ~ spl3_5 ),
inference(resolution,[],[f65,f13]) ).
fof(f13,plain,
! [X2,X3] :
( big_f(sK1,sK2(X2,X3))
| big_f(sK0,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f65,plain,
( ~ big_f(sK1,sK2(sK0,sK1))
| ~ spl3_1
| ~ spl3_5 ),
inference(resolution,[],[f64,f57]) ).
fof(f57,plain,
( ! [X2,X3] :
( big_f(X2,sK2(X2,X3))
| ~ big_f(X3,sK2(X2,X3)) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl3_5
<=> ! [X2,X3] :
( big_f(X2,sK2(X2,X3))
| ~ big_f(X3,sK2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f58,plain,
( spl3_5
| spl3_2 ),
inference(avatar_split_clause,[],[f10,f20,f56]) ).
fof(f20,plain,
( spl3_2
<=> big_f(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f10,plain,
! [X2,X3] :
( big_f(sK0,sK1)
| big_f(X2,sK2(X2,X3))
| ~ big_f(X3,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f46,plain,
( ~ spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f45]) ).
fof(f45,plain,
( $false
| ~ spl3_3
| ~ spl3_4 ),
inference(resolution,[],[f42,f30]) ).
fof(f30,plain,
( ~ big_f(sK0,sK2(sK1,sK1))
| ~ spl3_3 ),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f29,plain,
( ~ big_f(sK0,sK2(sK1,sK1))
| ~ big_f(sK0,sK2(sK1,sK1))
| ~ spl3_3 ),
inference(resolution,[],[f28,f14]) ).
fof(f28,plain,
( ! [X0] :
( big_f(X0,sK2(X0,sK1))
| ~ big_f(sK0,sK2(X0,sK1)) )
| ~ spl3_3 ),
inference(resolution,[],[f26,f14]) ).
fof(f26,plain,
( ! [X2,X3] :
( big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl3_3
<=> ! [X2,X3] :
( big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f42,plain,
( big_f(sK0,sK2(sK1,sK1))
| ~ spl3_4 ),
inference(resolution,[],[f41,f13]) ).
fof(f41,plain,
( ! [X0] : ~ big_f(X0,sK2(X0,X0))
| ~ spl3_4 ),
inference(factoring,[],[f33]) ).
fof(f33,plain,
( ! [X2,X3] :
( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl3_4
<=> ! [X2,X3] :
( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f34,plain,
( spl3_4
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f12,f20,f32]) ).
fof(f12,plain,
! [X2,X3] :
( ~ big_f(sK0,sK1)
| ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
( spl3_3
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f11,f20,f25]) ).
fof(f11,plain,
! [X2,X3] :
( ~ big_f(sK0,sK1)
| big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f23,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f9,f20,f17]) ).
fof(f9,plain,
! [X2,X3] :
( big_f(sK0,sK1)
| big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN347+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
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 17:22:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (22377)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (22379)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (22381)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (22380)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)
% 0.14/0.38 % (22378)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (22383)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (22382)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (22384)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (22380)First to succeed.
% 0.14/0.38 % (22383)Also succeeded, but the first one will report.
% 0.14/0.38 % (22382)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (22380)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22377"
% 0.14/0.38 % (22380)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (22380)------------------------------
% 0.14/0.38 % (22380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (22380)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (22380)Memory used [KB]: 767
% 0.14/0.38 % (22380)Time elapsed: 0.005 s
% 0.14/0.38 % (22380)Instructions burned: 5 (million)
% 0.14/0.38 % (22377)Success in time 0.008 s
%------------------------------------------------------------------------------