%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN009-3 : 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 : n015.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 02:06:26 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( ~ t(X0,X1,X2)
| ~ p(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( ~ q(X0,X1,X2)
| ~ t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] :
( ~ r(X0,X1,X2)
| ~ t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f6,negated_conjecture,
s(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X2,X0,X1] : ~ v(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
u(c,c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( r(X0,X1,X2)
| ~ s(X1)
| ~ s(X2)
| p(X0,X1,X2)
| q(X0,X1,X2)
| ~ s(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] :
( ~ u(X0,X1,X2)
| t(X0,X1,X2)
| v(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ u(X0,X1,X2)
| t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f10,f7]) ).
fof(f12,plain,
t(c,c,c),
inference(resolution,[],[f11,f8]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ s(X0)
| ~ s(X1)
| p(X2,X0,X1)
| q(X2,X0,X1)
| ~ s(X2)
| ~ t(X2,X0,X1) ),
inference(resolution,[],[f9,f3]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ s(X0)
| ~ s(X1)
| p(X2,X0,X1)
| ~ s(X2)
| ~ t(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f14,f2]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ t(X2,X0,X1)
| ~ s(X1)
| ~ s(X2)
| ~ s(X0) ),
inference(forward_subsumption_resolution,[],[f15,f1]) ).
fof(f17,plain,
( ~ s(c)
| ~ s(c)
| ~ s(c) ),
inference(resolution,[],[f16,f12]) ).
fof(f18,plain,
~ s(c),
inference(duplicate_literal_removal,[],[f17]) ).
fof(f19,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN009-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n015.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:23:17 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.24 % (2713277)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (2713285)dis+10_1_sil=32000:sp=arity:random_seed=3598635675:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.24 % (2713285) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2713277-2713285"...
% 0.09/0.24 % (2713285)...printing done.
% 0.09/0.24 % (2713285)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (2713285)------------------------------
% 0.09/0.25 % (2713285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (2713285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (2713285)CaDiCaL version: 2.1.3
% 0.09/0.25 % (2713285)Termination reason: Refutation
% 0.09/0.25 % (2713285)Time elapsed: 0.001 s
% 0.09/0.25 % (2713285)Peak memory usage: 11 MB
% 0.09/0.25 % (2713277)Success in time 0.026 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------