TSTP Solution File: SYN319+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n011.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 : Sat Sep 2 14:25:26 EDT 2023
% Result : Theorem 0.23s 0.43s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 6 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 143 ( 49 ~; 36 |; 39 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% Number of variables : 41 (; 31 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,plain,
$false,
inference(avatar_sat_refutation,[],[f26,f30,f34,f36]) ).
fof(f36,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f35]) ).
fof(f35,plain,
( $false
| ~ spl3_3 ),
inference(resolution,[],[f32,f29]) ).
fof(f29,plain,
( ! [X1] : big_f(X1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl3_3
<=> ! [X1] : big_f(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f32,plain,
! [X2,X3] : ~ big_f(sK1(X2,X3)),
inference(resolution,[],[f18,f11]) ).
fof(f11,plain,
! [X0] :
( big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( ( ( ~ big_h(sK1(X0,X1))
& ( big_g(sK1(X0,X1))
| big_f(sK1(X0,X1)) )
& big_h(X1) )
| ~ big_h(sK1(X0,X1)) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(sK0(X0,X1))
& big_g(X0) )
| ( ~ big_g(sK0(X0,X1))
& big_f(X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5]) ).
fof(f5,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ( ~ big_h(X3)
& ( big_g(X3)
| big_f(X3) )
& big_h(X1) )
| ~ big_h(X3) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(X2)
& big_g(X0) )
| ( ~ big_g(X2)
& big_f(X1) ) ) )
=> ( ( ( ~ big_h(sK1(X0,X1))
& ( big_g(sK1(X0,X1))
| big_f(sK1(X0,X1)) )
& big_h(X1) )
| ~ big_h(sK1(X0,X1)) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(sK0(X0,X1))
& big_g(X0) )
| ( ~ big_g(sK0(X0,X1))
& big_f(X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
! [X0,X1] :
? [X2,X3] :
( ( ( ~ big_h(X3)
& ( big_g(X3)
| big_f(X3) )
& big_h(X1) )
| ~ big_h(X3) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(X2)
& big_g(X0) )
| ( ~ big_g(X2)
& big_f(X1) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
! [X0,X1] :
? [X2,X3] :
( ( ( ~ big_h(X3)
& ( big_g(X3)
| big_f(X3) )
& big_h(X1) )
| ~ big_h(X3) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(X2)
& big_g(X0) )
| ( ~ big_g(X2)
& big_f(X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
! [X2,X3] :
( ( ( big_f(X1)
=> big_g(X2) )
=> ( ~ big_f(X2)
& big_g(X0) ) )
=> ( ( ( big_g(X0)
| big_f(X0) )
=> big_h(X0) )
=> ( ( big_h(X1)
=> ( ( big_g(X3)
| big_f(X3) )
=> big_h(X3) ) )
& big_h(X3) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0,X1] :
! [X2,X3] :
( ( ( big_f(X1)
=> big_g(X2) )
=> ( ~ big_f(X2)
& big_g(X0) ) )
=> ( ( ( big_g(X0)
| big_f(X0) )
=> big_h(X0) )
=> ( ( big_h(X1)
=> ( ( big_g(X3)
| big_f(X3) )
=> big_h(X3) ) )
& big_h(X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bpzeHFiI50/Vampire---4.8_10724',church_46_2_5) ).
fof(f18,plain,
! [X0,X1] : ~ big_h(sK1(X0,X1)),
inference(duplicate_literal_removal,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ big_h(sK1(X0,X1))
| ~ big_h(sK1(X0,X1)) ),
inference(cnf_transformation,[],[f6]) ).
fof(f34,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f33]) ).
fof(f33,plain,
( $false
| ~ spl3_2 ),
inference(resolution,[],[f31,f25]) ).
fof(f25,plain,
( ! [X0] : big_g(X0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl3_2
<=> ! [X0] : big_g(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f31,plain,
! [X0,X1] : ~ big_g(sK1(X0,X1)),
inference(resolution,[],[f18,f12]) ).
fof(f12,plain,
! [X0] :
( big_h(X0)
| ~ big_g(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
( ~ spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f17,f28,f20]) ).
fof(f20,plain,
( spl3_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f17,plain,
! [X1] :
( big_f(X1)
| ~ sP2 ),
inference(general_splitting,[],[f7,f16_D]) ).
fof(f16,plain,
! [X0] :
( big_g(X0)
| sP2 ),
inference(cnf_transformation,[],[f16_D]) ).
fof(f16_D,plain,
( ! [X0] : big_g(X0)
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f7,plain,
! [X0,X1] :
( big_g(X0)
| big_f(X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f26,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f16,f24,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n011.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 : Wed Aug 30 15:56:27 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.42 % (10991)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (11015)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.23/0.43 % (11016)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.43 TRYING [1]
% 0.23/0.43 % (11017)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 Vampire---4 for (476ds/0Mi)
% 0.23/0.43 % (11018)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43 TRYING [2]
% 0.23/0.43 % (11019)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.23/0.43 % (11020)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.23/0.43 TRYING [3]
% 0.23/0.43 % (11021)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.23/0.43 TRYING [1,1]
% 0.23/0.43 TRYING [2,1]
% 0.23/0.43 TRYING [1,1]
% 0.23/0.43 TRYING [4]
% 0.23/0.43 TRYING [2,1]
% 0.23/0.43 TRYING [3,1]
% 0.23/0.43 % (11017)First to succeed.
% 0.23/0.43 TRYING [1]
% 0.23/0.43 TRYING [3,1]
% 0.23/0.43 TRYING [2]
% 0.23/0.43 TRYING [3]
% 0.23/0.43 TRYING [4,1]
% 0.23/0.43 TRYING [4,1]
% 0.23/0.43 % (11019)Also succeeded, but the first one will report.
% 0.23/0.43 TRYING [5]
% 0.23/0.43 TRYING [4]
% 0.23/0.43 % (11020)Also succeeded, but the first one will report.
% 0.23/0.43 % (11017)Refutation found. Thanks to Tanya!
% 0.23/0.43 % SZS status Theorem for Vampire---4
% 0.23/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.43 % (11017)------------------------------
% 0.23/0.43 % (11017)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43 % (11017)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43 % (11017)Termination reason: Refutation
% 0.23/0.43
% 0.23/0.43 % (11017)Memory used [KB]: 5373
% 0.23/0.43 % (11017)Time elapsed: 0.004 s
% 0.23/0.43 % (11017)------------------------------
% 0.23/0.43 % (11017)------------------------------
% 0.23/0.43 % (10991)Success in time 0.062 s
% 0.23/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------