%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN328-1 : 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 02:07:19 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 4 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 25 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( ~ f(y(X0))
| g(y(X0))
| ~ f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0] :
( f(y(X0))
| f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0] :
( ~ g(y(X0))
| f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0] :
( ~ f(y(X0))
| h(y(X0))
| ~ g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X0] :
( f(y(X0))
| g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
! [X0] :
( ~ h(y(X0))
| g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f8,negated_conjecture,
! [X0] :
( ~ g(y(X0))
| h(y(X0))
| ~ h(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f9,negated_conjecture,
! [X0] :
( ~ f(y(X0))
| g(y(X0))
| h(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f10,negated_conjecture,
! [X0] :
( ~ h(y(X0))
| h(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f11,negated_conjecture,
! [X0] :
( ~ f(z(X0))
| ~ g(z(X0))
| ~ h(z(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f12,plain,
! [X0] :
( g(y(X0))
| ~ f(X0)
| g(X0) ),
inference(resolution,[],[f1,f5]) ).
fof(f23,plain,
! [X0] :
( h(y(X0))
| ~ h(X0)
| ~ f(X0)
| g(X0) ),
inference(resolution,[],[f8,f12]) ).
fof(f24,plain,
! [X0] :
( ~ h(X0)
| ~ f(X0)
| g(X0) ),
inference(forward_subsumption_resolution,[],[f23,f6]) ).
fof(f28,plain,
! [X0] :
( g(y(X0))
| h(X0)
| g(X0) ),
inference(resolution,[],[f9,f5]) ).
fof(f29,plain,
! [X0] :
( g(y(X0))
| h(X0)
| f(X0) ),
inference(resolution,[],[f9,f2]) ).
fof(f30,plain,
! [X0] :
( h(X0)
| f(X0) ),
inference(forward_subsumption_resolution,[],[f29,f3]) ).
fof(f31,plain,
! [X0] :
( f(y(X0))
| h(X0) ),
inference(resolution,[],[f30,f10]) ).
fof(f34,plain,
! [X0] :
( ~ h(z(X0))
| ~ f(z(X0)) ),
inference(forward_subsumption_resolution,[],[f11,f24]) ).
fof(f36,plain,
! [X0] :
( h(X0)
| h(y(X0))
| ~ g(X0) ),
inference(resolution,[],[f31,f4]) ).
fof(f40,plain,
! [X0] :
( ~ g(X0)
| h(X0) ),
inference(forward_subsumption_resolution,[],[f36,f10]) ).
fof(f42,plain,
! [X0] :
( h(y(X0))
| ~ f(X0)
| g(X0) ),
inference(resolution,[],[f40,f12]) ).
fof(f43,plain,
! [X0] :
( ~ f(X0)
| g(X0) ),
inference(forward_subsumption_resolution,[],[f42,f6]) ).
fof(f44,plain,
! [X0] :
( g(y(X0))
| h(X0) ),
inference(forward_subsumption_resolution,[],[f28,f40]) ).
fof(f47,plain,
! [X0] :
( g(y(X0))
| f(X0) ),
inference(resolution,[],[f43,f2]) ).
fof(f48,plain,
! [X0] : f(X0),
inference(forward_subsumption_resolution,[],[f47,f3]) ).
fof(f51,plain,
! [X0] :
( h(X0)
| h(y(X0)) ),
inference(resolution,[],[f44,f40]) ).
fof(f53,plain,
! [X0] : h(X0),
inference(forward_subsumption_resolution,[],[f51,f10]) ).
fof(f57,plain,
! [X0] : ~ f(z(X0)),
inference(resolution,[],[f53,f34]) ).
fof(f67,plain,
$false,
inference(forward_subsumption_resolution,[],[f57,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:43:38 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.21/0.27 % (1874272)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (1874286)dis+10_1_sil=32000:sp=arity:random_seed=4017761899:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.27 % (1874286) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1874272-1874286"...
% 0.21/0.27 % (1874286)...printing done.
% 0.21/0.27 % (1874286)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 % (1874286)------------------------------
% 0.21/0.27 % (1874286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (1874286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (1874286)CaDiCaL version: 2.1.3
% 0.21/0.27 % (1874286)Termination reason: Refutation
% 0.21/0.27 % (1874286)Time elapsed: 0.001 s
% 0.21/0.27 % (1874286)Peak memory usage: 11 MB
% 0.21/0.27 % (1874286)Instructions burned: 1 (million)
% 0.21/0.27 % (1874272)Success in time 0.03 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------