%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN352-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 02:07:26 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.26s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 22 ( 10 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 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 : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0,X1] :
( f(z(X0,X1),z(X0,X1))
| f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ f(X0,z(X0,X1))
| ~ f(X0,X1)
| ~ f(X1,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ f(X0,X1)
| f(X0,z(X0,X1))
| f(X1,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f22,plain,
! [X0,X1] :
( f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| f(X0,X1) ),
inference(resolution,[],[f7,f3]) ).
fof(f24,plain,
! [X0,X1] :
( f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| f(X0,X1) ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f59,plain,
! [X0,X1] :
( f(X0,X1)
| ~ f(z(X0,X1),z(X0,X1))
| ~ f(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
inference(resolution,[],[f24,f6]) ).
fof(f62,plain,
! [X0,X1] :
( f(X0,X1)
| ~ f(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f59,f3]) ).
fof(f63,plain,
! [X0,X1] : f(X0,X1),
inference(forward_subsumption_resolution,[],[f62,f24]) ).
fof(f66,plain,
! [X0,X1] :
( ~ f(X0,X1)
| ~ f(X1,z(X0,X1)) ),
inference(resolution,[],[f63,f6]) ).
fof(f72,plain,
! [X0,X1] : ~ f(X0,X1),
inference(forward_subsumption_resolution,[],[f66,f63]) ).
fof(f73,plain,
$false,
inference(forward_subsumption_resolution,[],[f72,f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN352-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n014.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 15:47:31 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.26 % (1883899)Will run a generic schedule for satisfiability detection.
% 0.20/0.26 % (1883909)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3485613538:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.26 % (1883909) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1883899-1883909"...
% 0.20/0.26 % (1883909)...printing done.
% 0.20/0.26 % (1883909)Refutation found. Thanks to Tanya!
% 0.20/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.26 % (1883909)------------------------------
% 0.20/0.26 % (1883909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.26 % (1883909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.26 % (1883909)CaDiCaL version: 2.1.3
% 0.20/0.26 % (1883909)Termination reason: Refutation
% 0.20/0.26 % (1883909)Time elapsed: 0.001 s
% 0.20/0.26 % (1883909)Peak memory usage: 11 MB
% 0.20/0.26 % (1883909)Instructions burned: 1 (million)
% 0.20/0.26 % (1883899)Success in time 0.035 s
% 0.20/0.26 % Vampire exiting
%------------------------------------------------------------------------------