%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN731+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 02:18:10 PM UTC 2026
% Result : Theorem 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 0 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 23 ( 15 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
( ! [X1] :
? [X2] : p(X0,X1,X2)
=> ? [X3] : p(X3,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2150) ).
fof(f2,negated_conjecture,
~ ? [X0] :
( ! [X1] :
? [X2] : p(X0,X1,X2)
=> ? [X3] : p(X3,X3,X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X0] :
( ! [X3] : ~ p(X3,X3,X0)
& ! [X1] :
? [X2] : p(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0] :
( ! [X1] : ~ p(X1,X1,X0)
& ! [X2] :
? [X3] : p(X0,X2,X3) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
! [X0] :
( ! [X1] : ~ p(X1,X1,X0)
& ! [X2] : p(X0,X2,sK0(X0,X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X2))],[f4]) ).
fof(f6,plain,
! [X2,X0] : p(X0,X2,sK0(X0,X2)),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X0,X1] : ~ p(X0,X0,X1),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f7,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN731+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n020.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 16:51:05 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
% 0.18/0.27 % (302069)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (302074)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3481965190_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.27 % TRYING [1]
% 0.18/0.27 % TRYING [2]
% 0.18/0.27 % (302074) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-302069-302074"...
% 0.18/0.27 % (302074)...printing done.
% 0.18/0.27 % (302074)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Theorem for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.27 % (302074)------------------------------
% 0.18/0.27 % (302074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (302074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (302074)CaDiCaL version: 2.1.3
% 0.18/0.27 % (302074)Termination reason: Refutation
% 0.18/0.27 % (302074)Time elapsed: 0.001 s
% 0.18/0.27 % (302074)Peak memory usage: 11 MB
% 0.18/0.27 % (302069)Success in time 0.036 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------