%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN012-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 02:06:26 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.24s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 4 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( big_g(X1,g(X0,X1))
| ~ big_f(X0,g(X0,X1))
| ~ big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( ~ big_g(X1,g(X0,X1))
| big_f(X0,g(X0,X1))
| ~ big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( big_g(g(X0,X1),g(X0,X1))
| ~ big_f(g(X0,X1),g(X0,X1))
| ~ big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( big_f(g(X0,X1),g(X0,X1))
| big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( ~ big_g(g(X0,X1),g(X0,X1))
| big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( big_g(g(X0,X1),g(X0,X1))
| big_g(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ big_g(g(X0,X1),g(X0,X1))
| ~ big_g(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,plain,
! [X0,X1] :
( big_g(X0,X1)
| big_f(X0,X1) ),
inference(resolution,[],[f6,f5]) ).
fof(f10,plain,
! [X0,X1] :
( ~ big_g(X0,X1)
| big_f(g(X0,X1),g(X0,X1)) ),
inference(resolution,[],[f8,f7]) ).
fof(f12,plain,
! [X0,X1] :
( big_g(X0,X1)
| big_f(g(g(X0,X1),g(X0,X1)),g(g(X0,X1),g(X0,X1))) ),
inference(resolution,[],[f10,f6]) ).
fof(f16,plain,
! [X0,X1] :
( big_f(X0,g(X0,X1))
| big_f(X1,g(X0,X1))
| ~ big_f(X0,X1) ),
inference(resolution,[],[f2,f8]) ).
fof(f18,plain,
! [X0] :
( big_f(X0,g(X0,X0))
| ~ big_f(X0,X0) ),
inference(factoring,[],[f16]) ).
fof(f19,plain,
! [X0,X1] :
( ~ big_f(g(X0,X1),g(X0,X1))
| ~ big_f(X0,X1)
| ~ big_g(X0,X1) ),
inference(resolution,[],[f3,f7]) ).
fof(f21,plain,
! [X0,X1] :
( ~ big_f(g(X0,X1),g(X0,X1))
| ~ big_f(X0,X1)
| big_f(g(g(X0,X1),g(X0,X1)),g(g(X0,X1),g(X0,X1))) ),
inference(resolution,[],[f3,f10]) ).
fof(f22,plain,
! [X0,X1] :
( big_f(g(g(X0,X1),g(X0,X1)),g(g(X0,X1),g(X0,X1)))
| ~ big_f(X0,X1) ),
inference(forward_subsumption_resolution,[],[f21,f4]) ).
fof(f23,plain,
! [X0,X1] :
( ~ big_g(X0,X1)
| ~ big_f(X0,X1) ),
inference(forward_subsumption_resolution,[],[f19,f10]) ).
fof(f27,plain,
! [X0,X1] :
( ~ big_f(X0,g(X1,X0))
| ~ big_f(X1,g(X1,X0))
| ~ big_f(X1,X0) ),
inference(resolution,[],[f23,f1]) ).
fof(f38,plain,
! [X0] :
( ~ big_f(X0,g(X0,X0))
| ~ big_f(X0,X0)
| ~ big_f(X0,X0) ),
inference(resolution,[],[f27,f18]) ).
fof(f39,plain,
! [X0] :
( ~ big_f(X0,g(X0,X0))
| ~ big_f(X0,X0) ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f43,plain,
! [X0] : ~ big_f(X0,X0),
inference(forward_subsumption_resolution,[],[f39,f18]) ).
fof(f46,plain,
! [X0,X1] :
( big_f(g(g(g(X0,X1),g(X0,X1)),g(g(X0,X1),g(X0,X1))),g(g(g(X0,X1),g(X0,X1)),g(g(X0,X1),g(X0,X1))))
| big_f(X0,X1) ),
inference(resolution,[],[f12,f5]) ).
fof(f51,plain,
! [X0,X1] : big_f(X0,X1),
inference(forward_subsumption_resolution,[],[f46,f43]) ).
fof(f55,plain,
! [X0,X1] : ~ big_f(X0,X1),
inference(resolution,[],[f22,f43]) ).
fof(f56,plain,
$false,
inference(forward_subsumption_resolution,[],[f55,f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN012-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n003.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 15:21:57 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 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
% 0.07/0.24 % (1693937)Will run a generic schedule for satisfiability detection.
% 0.07/0.24 % (1693946)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1759172442:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.24 % (1693946) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1693937-1693946"...
% 0.07/0.24 % (1693946)...printing done.
% 0.07/0.24 % (1693946)Refutation found. Thanks to Tanya!
% 0.07/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.24 % (1693946)------------------------------
% 0.07/0.24 % (1693946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.24 % (1693946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.24 % (1693946)CaDiCaL version: 2.1.3
% 0.07/0.24 % (1693946)Termination reason: Refutation
% 0.07/0.24 % (1693946)Time elapsed: 0.001 s
% 0.07/0.24 % (1693946)Peak memory usage: 11 MB
% 0.07/0.24 % (1693946)Instructions burned: 2 (million)
% 0.07/0.24 % (1693937)Success in time 0.026 s
% 0.07/0.24 % Vampire exiting
%------------------------------------------------------------------------------