%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN682-1 : 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 : n018.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 02:17:52 PM UTC 2026
% Result : Unsatisfiable 0.06s 0.24s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f12,negated_conjecture,
p25(c33,c36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_12) ).
fof(f14,negated_conjecture,
p25(c32,c33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_14) ).
fof(f19,negated_conjecture,
! [X0] : ~ p2(X0,f18(X0,f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_19) ).
fof(f31,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_31) ).
fof(f39,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_39) ).
fof(f51,negated_conjecture,
! [X0] :
( ~ p25(X0,c36)
| ~ p25(c32,X0)
| p2(f11(f4(X0),c34),f11(f4(c32),c34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_51) ).
fof(f76,plain,
! [X0,X1] :
( ~ p2(X1,f18(X0,f9(f17(c31))))
| ~ p2(X1,X0) ),
inference(resolution,[],[f31,f19]) ).
fof(f84,plain,
! [X0,X1] :
( p2(X1,X0)
| ~ p2(X0,X1) ),
inference(resolution,[],[f31,f7]) ).
fof(f189,plain,
( ~ p25(c32,c33)
| p2(f11(f4(c33),c34),f11(f4(c32),c34)) ),
inference(resolution,[],[f51,f12]) ).
fof(f193,plain,
p2(f11(f4(c33),c34),f11(f4(c32),c34)),
inference(forward_subsumption_resolution,[],[f189,f14]) ).
fof(f252,plain,
p2(f11(f4(c32),c34),f11(f4(c33),c34)),
inference(resolution,[],[f193,f84]) ).
fof(f264,plain,
~ p2(f11(f4(c32),c34),f11(f4(c33),c34)),
inference(resolution,[],[f76,f39]) ).
fof(f266,plain,
$false,
inference(forward_subsumption_resolution,[],[f264,f252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN682-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.16 % Computer : n018.cluster.edu
% 0.06/0.16 % Model : x86_64 x86_64
% 0.06/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.16 % Memory : 8046.5625MB
% 0.06/0.16 % OS : Linux 6.8.0-71-generic
% 0.06/0.16 % CPULimit : 300
% 0.06/0.16 % WCLimit : 300
% 0.06/0.16 % DateTime : Mon Sep 28 16:47:57 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.20 Running first-order model finding
% 0.06/0.20 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
% 0.06/0.24 % (3533874)Will run a generic schedule for satisfiability detection.
% 0.06/0.24 % (3533883)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2595180692:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.24 % (3533883) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3533874-3533883"...
% 0.06/0.24 % (3533883)...printing done.
% 0.06/0.24 % (3533883)Refutation found. Thanks to Tanya!
% 0.06/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.06/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.24 % (3533883)------------------------------
% 0.06/0.24 % (3533883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.24 % (3533883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.24 % (3533883)CaDiCaL version: 2.1.3
% 0.06/0.24 % (3533883)Termination reason: Refutation
% 0.06/0.24 % (3533883)Time elapsed: 0.004 s
% 0.06/0.24 % (3533883)Peak memory usage: 11 MB
% 0.06/0.24 % (3533883)Instructions burned: 9 (million)
% 0.06/0.24 % (3533874)Success in time 0.035 s
% 0.06/0.24 % Vampire exiting
%------------------------------------------------------------------------------