%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN343+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:07:23 PM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 6 unt; 2 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 23 ~; 14 |; 6 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 3-3 aty)
% Number of variables : 30 ( 0 sgn 23 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0,X1,X2] :
! [X3] :
( ( ( big_f(X0,X1)
=> big_f(X3,X0) )
=> big_f(X0,X0) )
=> ( big_f(X0,X0)
& big_f(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_16_2) ).
fof(f2,negated_conjecture,
~ ? [X0,X1,X2] :
! [X3] :
( ( ( big_f(X0,X1)
=> big_f(X3,X0) )
=> big_f(X0,X0) )
=> ( big_f(X0,X0)
& big_f(X1,X2) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X0,X1,X2] :
? [X3] :
( ( ~ big_f(X0,X0)
| ~ big_f(X1,X2) )
& ( big_f(X0,X0)
| ( ~ big_f(X3,X0)
& big_f(X0,X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0,X1,X2] :
( ( ~ big_f(X0,X0)
| ~ big_f(X1,X2) )
& ( big_f(X0,X0)
| ( ~ big_f(sK0(X0,X1,X2),X0)
& big_f(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f3]) ).
fof(f5,plain,
! [X0,X1] :
( big_f(X0,X0)
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
! [X2,X0,X1] :
( ~ big_f(X0,X0)
| ~ big_f(X1,X2) ),
inference(cnf_transformation,[],[f4]) ).
fof(f9,definition,
( spl1_1
<=> ! [X2,X1] : ~ big_f(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f10,plain,
( ! [X2,X1] : ~ big_f(X1,X2)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f12,definition,
( spl1_2
<=> ! [X0] : ~ big_f(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f13,plain,
( ! [X0] : ~ big_f(X0,X0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f14,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f7,f12,f9]) ).
fof(f15,plain,
( ! [X0,X1] : big_f(X0,X1)
| ~ spl1_1 ),
inference(forward_subsumption_resolution,[],[f5,f10]) ).
fof(f16,plain,
( $false
| ~ spl1_1 ),
inference(forward_subsumption_resolution,[],[f15,f10]) ).
fof(f17,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f16]) ).
fof(f18,plain,
( ! [X0,X1] : big_f(X0,X1)
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f5,f13]) ).
fof(f19,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f18,f13]) ).
fof(f20,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f19]) ).
cnf(s5,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f14]) ).
cnf(s8,plain,
~ spl1_1,
inference(sat_conversion,[],[f17]) ).
cnf(s14,plain,
~ spl1_2,
inference(sat_conversion,[],[f20]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s5,s14,s8]) ).
fof(f21,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN343+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n014.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 15:45:46 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.27 % (1879755)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (1879775)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3694997706:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (1879775) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1879755-1879775"...
% 0.20/0.27 % (1879775)...printing done.
% 0.20/0.27 % (1879774)% WARNING: option uhcvi not known.
% 0.20/0.27 % (1879775)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (1879775)------------------------------
% 0.20/0.27 % (1879775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (1879775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (1879775)CaDiCaL version: 2.1.3
% 0.20/0.27 % (1879775)Termination reason: Refutation
% 0.20/0.27 % (1879775)Time elapsed: 0.001 s
% 0.20/0.27 % (1879775)Peak memory usage: 12 MB
% 0.20/0.27 % (1879755)Success in time 0.039 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------