%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO019^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 : Wed Sep 30 08:46:17 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 120 ( 49 equ)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 83 ( 38 ~; 23 |; 16 &)
% ( 5 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 110 ( 70 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] :
( ( (X1)
& (X0) )
<=> ~ ( ~ (X1)
| ~ (X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f2,negated_conjecture,
~ ! [X0: $o,X1: $o] :
( ( (X1)
& (X0) )
<=> ~ ( ~ (X1)
| ~ (X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $o,X1: $o] :
( ( (X1)
& (X0) )
<=> ~ ( ~ (X1)
| ~ (X0) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ! [X0: $o,X1: $o] :
( ( ( $true = (X1) )
& ( $true = (X0) ) )
<=> ~ ( ( $true != (X1) )
| ( $true != (X0) ) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
~ ! [X0: $o,X1: $o] :
( ( ( $true = (X1) )
& ( $true = (X0) ) )
<=> ~ ( ( $true != (X1) )
| ( $true != (X0) ) ) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
? [X0: $o,X1: $o] :
( ( ( $true = (X1) )
& ( $true = (X0) ) )
<~> ( ( $true = (X1) )
& ( $true = (X0) ) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
? [X0: $o,X1: $o] :
( ( ( $true != (X1) )
| ( $true != (X0) )
| ( $true != (X1) )
| ( $true != (X0) ) )
& ( ( ( $true = (X1) )
& ( $true = (X0) ) )
| ( ( $true = (X1) )
& ( $true = (X0) ) ) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f8,plain,
? [X0: $o,X1: $o] :
( ( ( $true != (X1) )
| ( $true != (X0) )
| ( $true != (X1) )
| ( $true != (X0) ) )
& ( ( ( $true = (X1) )
& ( $true = (X0) ) )
| ( ( $true = (X1) )
& ( $true = (X0) ) ) ) ),
inference(flattening,[],[f7]) ).
tff(f9,plain,
( ( ( $true != sK1 )
| ( $true != sK0 )
| ( $true != sK1 )
| ( $true != sK0 ) )
& ( ( ( $true = sK1 )
& ( $true = sK0 ) )
| ( ( $true = sK1 )
& ( $true = sK0 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8]) ).
tff(f10,plain,
( ( $true = sK0 )
| ( $true = sK0 ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f13,plain,
( ( $true = sK1 )
| ( $true = sK1 ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f14,plain,
( ( $true != sK1 )
| ( $true != sK0 )
| ( $true != sK1 )
| ( $true != sK0 ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f17,plain,
$true = sK0,
inference(duplicate_literal_removal,[],[f10]) ).
tff(f18,plain,
$true = sK1,
inference(duplicate_literal_removal,[],[f13]) ).
tff(f19,plain,
( ( $true != sK1 )
| ( $true != sK0 ) ),
inference(duplicate_literal_removal,[],[f14]) ).
tff(f20,plain,
$true != sK0,
inference(forward_subsumption_resolution,[],[f19,f18]) ).
tff(f21,plain,
$false,
inference(forward_subsumption_resolution,[],[f20,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO019^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 16:22:37 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.28 % (995717)Detected formulas, will run a generic FOF schedule.
% 0.21/0.28 % (995722)lrs+1011_1_sp=occurrence:random_seed=3904386128:st=6:sd=4:ss=included_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28 % (995722) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-995717-995722"...
% 0.21/0.28 % (995722)...printing done.
% 0.21/0.28 % (995722)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (995722)------------------------------
% 0.21/0.28 % (995722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (995722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (995722)CaDiCaL version: 2.1.3
% 0.21/0.28 % (995722)Termination reason: Refutation
% 0.21/0.28 % (995722)Time elapsed: 0.001 s
% 0.21/0.28 % (995722)Peak memory usage: 11 MB
% 0.21/0.28 % (995717)Success in time 0.03 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------