%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN349-1 : 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 : n019.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 02:07:25 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 21 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ f(w(X0),g(X0,X1))
| f(X0,g(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( f(w(X0),g(X0,X1))
| ~ f(X0,g(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ f(X1,g(X0,X1))
| f(g(X0,X1),X1)
| ~ f(X0,g(X0,X1))
| f(g(X0,X1),w(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( f(g(X0,X1),X1)
| f(g(X0,X1),w(X0))
| f(X1,g(X0,X1))
| f(X0,g(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f8,negated_conjecture,
! [X0,X1] :
( ~ f(g(X0,X1),w(X0))
| ~ f(g(X0,X1),X1)
| f(X1,g(X0,X1))
| f(X0,g(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( ~ f(X0,g(X0,X1))
| ~ f(g(X0,X1),X1)
| ~ f(X1,g(X0,X1))
| ~ f(g(X0,X1),w(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f12,plain,
! [X0] :
( f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0)))
| f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0))) ),
inference(resolution,[],[f3,f2]) ).
fof(f13,plain,
! [X0] :
( f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0))) ),
inference(duplicate_literal_removal,[],[f12]) ).
fof(f16,plain,
! [X0] :
( f(g(X0,w(X0)),w(X0))
| f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0))) ),
inference(factoring,[],[f5]) ).
fof(f18,plain,
! [X0] :
( f(g(X0,w(X0)),w(X0))
| f(X0,g(X0,w(X0))) ),
inference(forward_subsumption_resolution,[],[f16,f1]) ).
fof(f19,plain,
! [X0] : f(g(X0,w(X0)),w(X0)),
inference(forward_subsumption_resolution,[],[f18,f13]) ).
fof(f24,plain,
! [X0] :
( ~ f(g(X0,w(X0)),w(X0))
| f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0))) ),
inference(resolution,[],[f19,f8]) ).
fof(f26,plain,
! [X0] :
( f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0))) ),
inference(forward_subsumption_resolution,[],[f24,f19]) ).
fof(f27,plain,
! [X0] : f(X0,g(X0,w(X0))),
inference(forward_subsumption_resolution,[],[f26,f1]) ).
fof(f29,plain,
! [X0] :
( ~ f(g(X0,w(X0)),w(X0))
| ~ f(w(X0),g(X0,w(X0)))
| ~ f(g(X0,w(X0)),w(X0)) ),
inference(resolution,[],[f27,f10]) ).
fof(f32,plain,
! [X0] :
( ~ f(g(X0,w(X0)),w(X0))
| ~ f(w(X0),g(X0,w(X0))) ),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f33,plain,
! [X0] : ~ f(w(X0),g(X0,w(X0))),
inference(forward_subsumption_resolution,[],[f32,f19]) ).
fof(f34,plain,
! [X0] : ~ f(X0,g(X0,w(X0))),
inference(resolution,[],[f33,f2]) ).
fof(f35,plain,
$false,
inference(forward_subsumption_resolution,[],[f34,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN349-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n019.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 15:47:33 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.26 % (4111266)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (4111272)% WARNING: option uhcvi not known.
% 0.09/0.26 % (4111272)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3720262750:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % (4111272) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4111266-4111272"...
% 0.09/0.26 % (4111272)...printing done.
% 0.09/0.26 % (4111272)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (4111272)------------------------------
% 0.09/0.26 % (4111272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (4111272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (4111272)CaDiCaL version: 2.1.3
% 0.09/0.26 % (4111272)Termination reason: Refutation
% 0.09/0.26 % (4111272)Time elapsed: 0.001 s
% 0.09/0.26 % (4111272)Peak memory usage: 11 MB
% 0.09/0.26 % (4111272)Instructions burned: 2 (million)
% 0.09/0.26 % (4111266)Success in time 0.031 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------