%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO189_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 02:30:22 PM UTC 2026
% Result : Theorem 0.10s 0.26s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 9 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 13 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 26 ( 12 fml; 14 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 13 ( 8 !; 5 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $o > $o ).
tff(f1,conjecture,
? [X0: $o] :
! [X1: $o] :
( (X0)
=> (X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCT5) ).
tff(f2,negated_conjecture,
~ ? [X0: $o] :
! [X1: $o] :
( (X0)
=> (X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $o] :
! [X1: $o] :
( (X0)
=> (X1) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ? [X0: $o] :
! [X1: $o] :
( ( $true = (X0) )
=> ( $true = (X1) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
! [X0: $o] :
? [X1: $o] :
( ( $true != (X1) )
& ( $true = (X0) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
! [X0: $o] :
( ( $true != sK0((X0)) )
& ( $true = (X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f5]) ).
tff(f7,plain,
! [X0: $o] : ( $true = (X0) ),
inference(cnf_transformation,[],[f6]) ).
tff(f8,plain,
! [X0: $o] : ( $true != sK0((X0)) ),
inference(cnf_transformation,[],[f6]) ).
tff(f14,plain,
$true != $true,
inference(superposition,[],[f8,f7]) ).
tff(f15,plain,
$false,
inference(trivial_inequality_removal,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO189_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n013.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 17:31:06 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.26 % (1352135)Will run a generic schedule for satisfiability detection.
% 0.10/0.26 % (1352142)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3903856679:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.26 % (1352142) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1352135-1352142"...
% 0.10/0.26 % (1352142)...printing done.
% 0.10/0.26 % (1352142)Refutation found. Thanks to Tanya!
% 0.10/0.26 % SZS status Theorem for theBenchmark
% 0.10/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.26 % (1352142)------------------------------
% 0.10/0.26 % (1352142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (1352142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (1352142)CaDiCaL version: 2.1.3
% 0.10/0.26 % (1352142)Termination reason: Refutation
% 0.10/0.26 % (1352142)Time elapsed: 0.001 s
% 0.10/0.26 % (1352142)Peak memory usage: 11 MB
% 0.10/0.26 % (1352135)Success in time 0.023 s
% 0.10/0.26 % Vampire exiting
%------------------------------------------------------------------------------