TSTP Solution File: SYN403+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN403+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 : n031.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 : Fri Sep 1 03:39:50 EDT 2023
% Result : Theorem 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 72 ( 25 ~; 18 |; 17 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 5 (; 2 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,plain,
$false,
inference(avatar_sat_refutation,[],[f17,f22,f24,f26]) ).
fof(f26,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f25]) ).
fof(f25,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f16,f10]) ).
fof(f10,plain,
~ h(sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( ~ h(sK0)
& f(sK0)
& ( h(sK0)
| ~ g(sK0) )
& ( g(sK0)
| ~ f(sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).
fof(f5,plain,
( ? [X0] :
( ~ h(X0)
& f(X0)
& ( h(X0)
| ~ g(X0) )
& ( g(X0)
| ~ f(X0) ) )
=> ( ~ h(sK0)
& f(sK0)
& ( h(sK0)
| ~ g(sK0) )
& ( g(sK0)
| ~ f(sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
? [X0] :
( ~ h(X0)
& f(X0)
& ( h(X0)
| ~ g(X0) )
& ( g(X0)
| ~ f(X0) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
? [X0] :
( ~ h(X0)
& f(X0)
& ( h(X0)
| ~ g(X0) )
& ( g(X0)
| ~ f(X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ( g(X0)
=> h(X0) )
& ( f(X0)
=> g(X0) ) )
=> ( f(X0)
=> h(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( ( g(X0)
=> h(X0) )
& ( f(X0)
=> g(X0) ) )
=> ( f(X0)
=> h(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ul8OfbVqX5/Vampire---4.8_9624',kalish234) ).
fof(f16,plain,
( h(sK0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f15,plain,
( spl1_2
<=> h(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f24,plain,
spl1_3,
inference(avatar_contradiction_clause,[],[f23]) ).
fof(f23,plain,
( $false
| spl1_3 ),
inference(resolution,[],[f20,f9]) ).
fof(f9,plain,
f(sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f20,plain,
( ~ f(sK0)
| spl1_3 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl1_3
<=> f(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f22,plain,
( ~ spl1_3
| spl1_1 ),
inference(avatar_split_clause,[],[f7,f12,f19]) ).
fof(f12,plain,
( spl1_1
<=> g(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f7,plain,
( g(sK0)
| ~ f(sK0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f17,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f8,f15,f12]) ).
fof(f8,plain,
( h(sK0)
| ~ g(sK0) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN403+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n031.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 : Sat Aug 26 21:17:38 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_EPR_NEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ul8OfbVqX5/Vampire---4.8_9624
% 0.15/0.37 % (9774)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (9777)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.23/0.44 % (9777)First to succeed.
% 0.23/0.44 % (9777)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Theorem for Vampire---4
% 0.23/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44 % (9777)------------------------------
% 0.23/0.44 % (9777)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (9777)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (9777)Termination reason: Refutation
% 0.23/0.44
% 0.23/0.44 % (9777)Memory used [KB]: 5373
% 0.23/0.44 % (9777)Time elapsed: 0.003 s
% 0.23/0.44 % (9777)------------------------------
% 0.23/0.44 % (9777)------------------------------
% 0.23/0.44 % (9774)Success in time 0.064 s
% 0.23/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------