%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 02:17:35 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_2) ).
fof(f4,negated_conjecture,
p4(f5(c7,c10,c9),c9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
fof(f5,negated_conjecture,
~ p4(f5(c7,c10,c8),c8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_5) ).
fof(f6,negated_conjecture,
! [X0] : p4(f5(c7,X0,c8),f5(c7,X0,c9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_6) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(X2,X0)
| p4(X0,X1)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_8) ).
fof(f12,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(f5(c7,f6(X0,X2,X1),X2),f5(c7,f6(X0,X2,X1),X1))
| ~ p4(f5(c7,X0,X2),X2)
| p4(f5(c7,X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_12) ).
fof(f16,plain,
! [X0,X1] :
( ~ p4(f5(c7,X0,c8),X1)
| p4(f5(c7,X0,c9),X1) ),
inference(resolution,[],[f8,f6]) ).
fof(f28,plain,
! [X0] : p4(f5(c7,X0,c9),f5(c7,X0,c8)),
inference(resolution,[],[f16,f2]) ).
fof(f30,plain,
! [X0] :
( ~ p4(f5(c7,X0,c9),c9)
| p4(f5(c7,X0,c8),c8) ),
inference(resolution,[],[f28,f12]) ).
fof(f64,plain,
p4(f5(c7,c10,c8),c8),
inference(resolution,[],[f30,f4]) ).
fof(f65,plain,
$false,
inference(forward_subsumption_resolution,[],[f64,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n002.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 16:31:07 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.18/0.27 % (498713)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (498729)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=341886652:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.27 % (498729) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-498713-498729"...
% 0.18/0.27 % (498729)...printing done.
% 0.18/0.27 % (498729)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.27 % (498729)------------------------------
% 0.18/0.27 % (498729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (498729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (498729)CaDiCaL version: 2.1.3
% 0.18/0.27 % (498729)Termination reason: Refutation
% 0.18/0.27 % (498729)Time elapsed: 0.001 s
% 0.18/0.27 % (498729)Peak memory usage: 11 MB
% 0.18/0.27 % (498729)Instructions burned: 2 (million)
% 0.18/0.27 % (498713)Success in time 0.034 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------