%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN331-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 02:07:20 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 2 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ f(z(X0,X1),z(X0,X1))
| f(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( f(z(X1,X0),z(X1,X0))
| f(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f7,negated_conjecture,
! [X0,X1] : ~ f(z(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f8,plain,
! [X0,X1] :
( f(X0,X1)
| f(X1,X0) ),
inference(resolution,[],[f5,f3]) ).
fof(f13,plain,
! [X0] : f(X0,X0),
inference(factoring,[],[f8]) ).
fof(f14,plain,
! [X0,X1] : f(X0,X1),
inference(resolution,[],[f13,f3]) ).
fof(f16,plain,
$false,
inference(resolution,[],[f14,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN331-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n011.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 : Mon Sep 28 15:42:45 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.21/0.27 % (3488636)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (3488645)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2344816018:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.27 % (3488645) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3488636-3488645"...
% 0.21/0.27 % (3488645)...printing done.
% 0.21/0.27 % (3488642)% WARNING: option uhcvi not known.
% 0.21/0.27 % (3488645)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (3488645)------------------------------
% 0.21/0.27 % (3488645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (3488645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (3488645)CaDiCaL version: 2.1.3
% 0.21/0.27 % (3488645)Termination reason: Refutation
% 0.21/0.27 % (3488645)Time elapsed: 0.001 s
% 0.21/0.27 % (3488645)Peak memory usage: 11 MB
% 0.21/0.27 % (3488636)Success in time 0.029 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------