TSTP Solution File: SYN070+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN070+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 : n017.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 12:08:47 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 70 ( 4 unt; 0 def)
% Number of atoms : 232 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 273 ( 111 ~; 106 |; 32 &)
% ( 13 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 14 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 68 ( 58 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88,plain,
$false,
inference(avatar_sat_refutation,[],[f41,f49,f57,f58,f59,f63,f67,f77,f79,f85,f87]) ).
fof(f87,plain,
( ~ spl5_2
| ~ spl5_10 ),
inference(avatar_contradiction_clause,[],[f86]) ).
fof(f86,plain,
( $false
| ~ spl5_2
| ~ spl5_10 ),
inference(resolution,[],[f84,f40]) ).
fof(f40,plain,
( ! [X1] : ~ big_g(X1)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl5_2
<=> ! [X1] : ~ big_g(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f84,plain,
( big_g(sK1)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl5_10
<=> big_g(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f85,plain,
( ~ spl5_8
| spl5_10
| spl5_6
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f80,f75,f55,f82,f71]) ).
fof(f71,plain,
( spl5_8
<=> big_f(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f55,plain,
( spl5_6
<=> ! [X2] :
( big_g(X2)
| ~ big_f(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f75,plain,
( spl5_9
<=> ! [X0] :
( ~ big_h(X0,sK1)
| big_g(X0)
| ~ big_f(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f80,plain,
( ! [X0] :
( big_g(X0)
| ~ big_f(X0)
| big_g(sK1)
| ~ big_f(sK1) )
| ~ spl5_9 ),
inference(resolution,[],[f76,f26]) ).
fof(f26,plain,
! [X0,X1] :
( big_h(X1,X0)
| big_g(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( big_g(X0)
| ( ~ big_g(X1)
& big_h(X1,X0)
& big_f(X1) )
| ~ big_f(X0) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( big_g(X0)
| ( ~ big_g(X1)
& big_h(X1,X0)
& big_f(X1) )
| ~ big_f(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( ( ( big_h(X1,X0)
& big_f(X1) )
=> big_g(X1) )
& big_f(X0) )
=> big_g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_1) ).
fof(f76,plain,
( ! [X0] :
( ~ big_h(X0,sK1)
| big_g(X0)
| ~ big_f(X0) )
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,plain,
( ~ spl5_4
| spl5_8 ),
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f78,plain,
( $false
| ~ spl5_4
| spl5_8 ),
inference(resolution,[],[f73,f48]) ).
fof(f48,plain,
( ! [X1] : big_f(X1)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl5_4
<=> ! [X1] : big_f(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f73,plain,
( ~ big_f(sK1)
| spl5_8 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f77,plain,
( ~ spl5_8
| spl5_9
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f69,f65,f75,f71]) ).
fof(f65,plain,
( spl5_7
<=> ! [X1] :
( big_j(sK1,X1)
| ~ big_f(X1)
| big_g(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f69,plain,
( ! [X0] :
( ~ big_h(X0,sK1)
| ~ big_f(sK1)
| ~ big_f(X0)
| big_g(X0) )
| ~ spl5_7 ),
inference(duplicate_literal_removal,[],[f68]) ).
fof(f68,plain,
( ! [X0] :
( ~ big_h(X0,sK1)
| ~ big_f(sK1)
| ~ big_f(X0)
| ~ big_f(X0)
| big_g(X0) )
| ~ spl5_7 ),
inference(resolution,[],[f24,f66]) ).
fof(f66,plain,
( ! [X1] :
( big_j(sK1,X1)
| ~ big_f(X1)
| big_g(X1) )
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f24,plain,
! [X0,X1] :
( ~ big_j(X1,X0)
| ~ big_h(X0,X1)
| ~ big_f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ big_j(X1,X0)
| ~ big_h(X0,X1)
| ~ big_f(X1)
| ~ big_f(X0) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ~ big_j(X1,X0)
| ~ big_h(X0,X1)
| ~ big_f(X1)
| ~ big_f(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ( big_h(X0,X1)
& big_f(X1)
& big_f(X0) )
=> ~ big_j(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_3) ).
fof(f67,plain,
( ~ spl5_5
| spl5_7 ),
inference(avatar_split_clause,[],[f29,f65,f51]) ).
fof(f51,plain,
( spl5_5
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f29,plain,
! [X1] :
( big_j(sK1,X1)
| big_g(X1)
| ~ big_f(X1)
| ~ sP2 ),
inference(general_splitting,[],[f23,f28_D]) ).
fof(f28,plain,
! [X2] :
( big_g(X2)
| ~ big_f(X2)
| sP2 ),
inference(cnf_transformation,[],[f28_D]) ).
fof(f28_D,plain,
( ! [X2] :
( big_g(X2)
| ~ big_f(X2) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f23,plain,
! [X2,X1] :
( big_j(sK1,X1)
| big_g(X1)
| ~ big_f(X1)
| big_g(X2)
| ~ big_f(X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( ! [X1] :
( big_j(sK1,X1)
| big_g(X1)
| ~ big_f(X1) )
& ~ big_g(sK1)
& big_f(sK1) )
| ! [X2] :
( big_g(X2)
| ~ big_f(X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f16,f17]) ).
fof(f17,plain,
( ? [X0] :
( ! [X1] :
( big_j(X0,X1)
| big_g(X1)
| ~ big_f(X1) )
& ~ big_g(X0)
& big_f(X0) )
=> ( ! [X1] :
( big_j(sK1,X1)
| big_g(X1)
| ~ big_f(X1) )
& ~ big_g(sK1)
& big_f(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X0] :
( ! [X1] :
( big_j(X0,X1)
| big_g(X1)
| ~ big_f(X1) )
& ~ big_g(X0)
& big_f(X0) )
| ! [X2] :
( big_g(X2)
| ~ big_f(X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ? [X1] :
( ! [X2] :
( big_j(X1,X2)
| big_g(X2)
| ~ big_f(X2) )
& ~ big_g(X1)
& big_f(X1) )
| ! [X0] :
( big_g(X0)
| ~ big_f(X0) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( ? [X1] :
( ! [X2] :
( big_j(X1,X2)
| big_g(X2)
| ~ big_f(X2) )
& ~ big_g(X1)
& big_f(X1) )
| ! [X0] :
( big_g(X0)
| ~ big_f(X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
( ? [X0] :
( ~ big_g(X0)
& big_f(X0) )
=> ? [X1] :
( ! [X2] :
( ( ~ big_g(X2)
& big_f(X2) )
=> big_j(X1,X2) )
& ~ big_g(X1)
& big_f(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
( ? [X0] :
( ~ big_g(X0)
& big_f(X0) )
=> ? [X2] :
( ! [X1] :
( ( ~ big_g(X1)
& big_f(X1) )
=> big_j(X2,X1) )
& ~ big_g(X2)
& big_f(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_2) ).
fof(f63,plain,
~ spl5_6,
inference(avatar_contradiction_clause,[],[f62]) ).
fof(f62,plain,
( $false
| ~ spl5_6 ),
inference(resolution,[],[f60,f19]) ).
fof(f19,plain,
big_f(sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ~ big_g(sK0)
& big_f(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f14]) ).
fof(f14,plain,
( ? [X0] :
( ~ big_g(X0)
& big_f(X0) )
=> ( ~ big_g(sK0)
& big_f(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0] :
( ~ big_g(X0)
& big_f(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0] :
( big_f(X0)
=> big_g(X0) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0] :
( big_f(X0)
=> big_g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46) ).
fof(f60,plain,
( ~ big_f(sK0)
| ~ spl5_6 ),
inference(resolution,[],[f56,f20]) ).
fof(f20,plain,
~ big_g(sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f56,plain,
( ! [X2] :
( big_g(X2)
| ~ big_f(X2) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f59,plain,
( spl5_3
| spl5_6 ),
inference(avatar_split_clause,[],[f32,f55,f43]) ).
fof(f43,plain,
( spl5_3
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f32,plain,
! [X0] :
( big_g(X0)
| ~ big_f(X0)
| sP4 ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,plain,
( ! [X0] :
( big_g(X0)
| ~ big_f(X0) )
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f58,plain,
( spl5_1
| spl5_6 ),
inference(avatar_split_clause,[],[f30,f55,f35]) ).
fof(f35,plain,
( spl5_1
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f30,plain,
! [X0] :
( big_g(X0)
| ~ big_f(X0)
| sP3 ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X0] :
( big_g(X0)
| ~ big_f(X0) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f57,plain,
( spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f28,f55,f51]) ).
fof(f49,plain,
( ~ spl5_3
| spl5_4 ),
inference(avatar_split_clause,[],[f33,f47,f43]) ).
fof(f33,plain,
! [X1] :
( big_f(X1)
| ~ sP4 ),
inference(general_splitting,[],[f25,f32_D]) ).
fof(f25,plain,
! [X0,X1] :
( big_g(X0)
| big_f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f41,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f31,f39,f35]) ).
fof(f31,plain,
! [X1] :
( ~ big_g(X1)
| ~ sP3 ),
inference(general_splitting,[],[f27,f30_D]) ).
fof(f27,plain,
! [X0,X1] :
( big_g(X0)
| ~ big_g(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN070+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 17:22:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (30331)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (30334)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)
% 0.14/0.36 % (30334)First to succeed.
% 0.14/0.36 % (30334)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30331"
% 0.14/0.36 % (30334)Refutation found. Thanks to Tanya!
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36 % (30334)------------------------------
% 0.14/0.36 % (30334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (30334)Termination reason: Refutation
% 0.14/0.36
% 0.14/0.36 % (30334)Memory used [KB]: 775
% 0.14/0.36 % (30334)Time elapsed: 0.003 s
% 0.14/0.36 % (30334)Instructions burned: 4 (million)
% 0.14/0.36 % (30331)Success in time 0.002 s
%------------------------------------------------------------------------------