%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO021_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 02:29:34 PM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 120 ( 51 equ)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 79 ( 37 ~; 23 |; 16 &)
% ( 2 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 111 ( 71 fml; 40 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 4 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 16 ( 10 !; 6 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $o ).
tff(func_def_3,type,
sK1: $o ).
tff(f1,conjecture,
! [X0: $o,X1: $o] :
( (X0)
& ( (X1)
= ( ~ ( ~ (X0)
| ~ (X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f2,negated_conjecture,
~ ! [X0: $o,X1: $o] :
( (X0)
& ( (X1)
= ( ~ ( ~ (X0)
| ~ (X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $o,X1: $o] :
( (X0)
& ( (X1)
= ( ~ ( ~ (X0)
| ~ (X1) ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ! [X0: $o,X1: $o] :
( ( ( $true = (X0) )
& ( $true = (X1) ) )
<=> ~ ( ( $true != (X0) )
| ( $true != (X1) ) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
~ ! [X0: $o,X1: $o] :
( ( ( $true = (X0) )
& ( $true = (X1) ) )
<=> ~ ( ( $true != (X0) )
| ( $true != (X1) ) ) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
? [X0: $o,X1: $o] :
( ( ( $true = (X0) )
& ( $true = (X1) ) )
<~> ( ( $true = (X0) )
& ( $true = (X1) ) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
? [X0: $o,X1: $o] :
( ( ( $true != (X0) )
| ( $true != (X1) )
| ( $true != (X0) )
| ( $true != (X1) ) )
& ( ( ( $true = (X0) )
& ( $true = (X1) ) )
| ( ( $true = (X0) )
& ( $true = (X1) ) ) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f8,plain,
? [X0: $o,X1: $o] :
( ( ( $true != (X0) )
| ( $true != (X1) )
| ( $true != (X0) )
| ( $true != (X1) ) )
& ( ( ( $true = (X0) )
& ( $true = (X1) ) )
| ( ( $true = (X0) )
& ( $true = (X1) ) ) ) ),
inference(flattening,[],[f7]) ).
tff(f9,plain,
( ( ( $true != sK0 )
| ( $true != sK1 )
| ( $true != sK0 )
| ( $true != sK1 ) )
& ( ( ( $true = sK0 )
& ( $true = sK1 ) )
| ( ( $true = sK0 )
& ( $true = sK1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8]) ).
tff(f10,plain,
( ( $true = sK1 )
| ( $true = sK1 ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f13,plain,
( ( $true = sK0 )
| ( $true = sK0 ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f14,plain,
( ( $true != sK0 )
| ( $true != sK1 )
| ( $true != sK0 )
| ( $true != sK1 ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f17,plain,
$true = sK1,
inference(duplicate_literal_removal,[],[f10]) ).
tff(f18,plain,
$true = sK0,
inference(duplicate_literal_removal,[],[f13]) ).
tff(f19,plain,
( ( $true != sK0 )
| ( $true != sK1 ) ),
inference(duplicate_literal_removal,[],[f14]) ).
tff(f22,plain,
$false,
inference(global_subsumption,[],[f19,f18,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO021_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n011.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 17:21:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.25 % (3547100)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (3547108)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1099102639:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.08/0.25 % (3547108) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3547100-3547108"...
% 0.08/0.25 % (3547108)...printing done.
% 0.08/0.25 % (3547108)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (3547108)------------------------------
% 0.08/0.25 % (3547108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (3547108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (3547108)CaDiCaL version: 2.1.3
% 0.08/0.25 % (3547108)Termination reason: Refutation
% 0.08/0.25 % (3547108)Time elapsed: 0.001 s
% 0.08/0.25 % (3547108)Peak memory usage: 11 MB
% 0.08/0.25 % (3547100)Success in time 0.015 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------