%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO206_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 : 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 02:30:25 PM UTC 2026
% Result : Theorem 0.21s 0.26s
% Output : Refutation 0.21s
% 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 : 162 ( 69 equ)
% Maximal formula atoms : 16 ( 10 avg)
% Number of connectives : 81 ( 33 ~; 32 |; 10 &)
% ( 5 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 158 ( 98 fml; 60 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 : 15 ( 9 !; 6 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $o > $o ).
tff(f1,conjecture,
? [X0: $o] :
! [X1: $o] :
( ( (X0) = (X1) )
= ( (X1) = (X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCT265) ).
tff(f2,negated_conjecture,
~ ? [X0: $o] :
! [X1: $o] :
( ( (X0) = (X1) )
= ( (X1) = (X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $o] :
! [X1: $o] :
( ( (X0) = (X1) )
= ( (X1) = (X0) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ? [X0: $o] :
! [X1: $o] :
( ( ( $true = (X0) )
<=> ( $true = (X1) ) )
<=> ( ( $true = (X1) )
<=> ( $true = (X0) ) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
! [X0: $o] :
? [X1: $o] :
( ( ( $true = (X0) )
<=> ( $true = (X1) ) )
<~> ( ( $true = (X1) )
<=> ( $true = (X0) ) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
! [X0: $o] :
? [X1: $o] :
( ( ( ( ( $true != (X0) )
| ( $true != (X1) ) )
& ( ( $true = (X0) )
| ( $true = (X1) ) ) )
| ( ( ( $true != (X1) )
| ( $true != (X0) ) )
& ( ( $true = (X1) )
| ( $true = (X0) ) ) ) )
& ( ( ( ( $true = (X1) )
| ( $true != (X0) ) )
& ( ( $true = (X0) )
| ( $true != (X1) ) ) )
| ( ( ( $true = (X0) )
| ( $true != (X1) ) )
& ( ( $true = (X1) )
| ( $true != (X0) ) ) ) ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f7,plain,
! [X0: $o] :
( ( ( ( ( $true != (X0) )
| ( $true != sK0((X0)) ) )
& ( ( $true = (X0) )
| ( $true = sK0((X0)) ) ) )
| ( ( ( $true != sK0((X0)) )
| ( $true != (X0) ) )
& ( ( $true = sK0((X0)) )
| ( $true = (X0) ) ) ) )
& ( ( ( ( $true = sK0((X0)) )
| ( $true != (X0) ) )
& ( ( $true = (X0) )
| ( $true != sK0((X0)) ) ) )
| ( ( ( $true = (X0) )
| ( $true != sK0((X0)) ) )
& ( ( $true = sK0((X0)) )
| ( $true != (X0) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f6]) ).
tff(f10,plain,
! [X0: $o] :
( ( $true = sK0((X0)) )
| ( $true != (X0) )
| ( $true = sK0((X0)) )
| ( $true != (X0) ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f15,plain,
! [X0: $o] :
( ( $true != (X0) )
| ( $true != sK0((X0)) )
| ( $true != sK0((X0)) )
| ( $true != (X0) ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f18,plain,
( ( $true != sK0($true) )
| ( $true != sK0($true) )
| ( $true != $true ) ),
inference(equality_resolution,[],[f15]) ).
tff(f22,plain,
( ( $true = sK0($true) )
| ( $true = sK0($true) )
| ( $true != $true ) ),
inference(equality_resolution,[],[f10]) ).
tff(f25,plain,
( ( $true = sK0($true) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f22]) ).
tff(f26,plain,
$true = sK0($true),
inference(trivial_inequality_removal,[],[f25]) ).
tff(f28,plain,
( ( $true != sK0($true) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f18]) ).
tff(f29,plain,
$true != sK0($true),
inference(trivial_inequality_removal,[],[f28]) ).
tff(f30,plain,
$false,
inference(forward_subsumption_resolution,[],[f29,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO206_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 17:32:16 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.21/0.26 % (3564746)Will run a generic schedule for satisfiability detection.
% 0.21/0.26 % (3564754)dis+10_1_sil=32000:sp=arity:random_seed=483771914:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.26 % (3564754) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3564746-3564754"...
% 0.21/0.26 % (3564754)...printing done.
% 0.21/0.26 % (3564752)% WARNING: option uhcvi not known.
% 0.21/0.26 % (3564754)Refutation found. Thanks to Tanya!
% 0.21/0.26 % SZS status Theorem for theBenchmark
% 0.21/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.26 % (3564754)------------------------------
% 0.21/0.26 % (3564754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.26 % (3564754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.26 % (3564754)CaDiCaL version: 2.1.3
% 0.21/0.26 % (3564754)Termination reason: Refutation
% 0.21/0.26 % (3564754)Time elapsed: 0.001 s
% 0.21/0.26 % (3564754)Peak memory usage: 11 MB
% 0.21/0.26 % (3564754)Instructions burned: 1 (million)
% 0.21/0.26 % (3564746)Success in time 0.034 s
% 0.21/0.26 % Vampire exiting
%------------------------------------------------------------------------------