%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO629-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 02:32:15 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.23s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 33 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11_03) ).
fof(f4,axiom,
! [X0] :
( 'E'(s('0'),f(X0))
| 'LE'(f(X0),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6_04) ).
fof(f5,axiom,
! [X0] : ~ 'LE'(f(X0),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7_05) ).
fof(f6,axiom,
! [X0,X1] :
( ~ 'LE'(f(X0),s('0'))
| ~ iLEQ(X0,X1)
| 'E'('0',f(X1))
| 'LE'(f(X1),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10_06) ).
fof(f7,axiom,
! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1_07) ).
fof(f10,axiom,
! [X0] : iLEQ(X0,g(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5_10) ).
fof(f11,axiom,
! [X0] : ~ 'E'(f(X0),f(g(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4_11) ).
fof(f12,axiom,
! [X0] : iLEQ(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9_12) ).
fof(f15,plain,
! [X0] :
( 'E'('0',f(g(X0)))
| 'E'('0',f(X0))
| ~ 'E'(f(X0),f(g(X0))) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f16,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| ~ 'E'(s('0'),f(X0)) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f17,plain,
! [X0,X1] :
( 'LE'(f(X1),'0')
| iLEQ(X0,X1)
| ~ 'E'('0',f(X1))
| ~ 'LE'(f(X0),s('0')) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f18,plain,
! [X0] :
( 'E'(s('0'),f(g(X0)))
| 'E'(s('0'),f(X0))
| ~ 'E'(f(X0),f(g(X0))) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f20,plain,
! [X0] : ~ iLEQ(X0,g(X0)),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f21,plain,
! [X0] : 'E'(f(X0),f(g(X0))),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f22,plain,
! [X0] : ~ iLEQ(X0,X0),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f23,plain,
! [X0,X1] :
( ~ 'LE'(f(X0),s('0'))
| ~ 'E'('0',f(X1))
| iLEQ(X0,X1) ),
inference(resolution,[],[f17,f5]) ).
fof(f24,plain,
! [X0,X1] :
( iLEQ(X1,X0)
| ~ 'E'('0',f(X0))
| ~ 'E'(s('0'),f(X1)) ),
inference(resolution,[],[f23,f16]) ).
fof(f25,plain,
! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'('0',f(X0)) ),
inference(resolution,[],[f24,f22]) ).
fof(f26,plain,
! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'('0',f(g(X0))) ),
inference(resolution,[],[f24,f20]) ).
fof(f28,plain,
! [X0] :
( 'E'(s('0'),f(X0))
| ~ 'E'(f(X0),f(g(X0)))
| ~ 'E'('0',f(g(X0))) ),
inference(resolution,[],[f18,f25]) ).
fof(f29,plain,
! [X0] :
( ~ 'E'(f(X0),f(g(X0)))
| ~ 'E'('0',f(g(X0)))
| ~ 'E'('0',f(g(X0))) ),
inference(resolution,[],[f28,f26]) ).
fof(f31,plain,
! [X0] :
( ~ 'E'(f(X0),f(g(X0)))
| ~ 'E'('0',f(g(X0))) ),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f32,plain,
! [X0] : ~ 'E'('0',f(g(X0))),
inference(resolution,[],[f31,f21]) ).
fof(f33,plain,
! [X0] :
( 'E'('0',f(X0))
| ~ 'E'(f(X0),f(g(X0))) ),
inference(resolution,[],[f32,f15]) ).
fof(f34,plain,
! [X0] : ~ 'E'(f(g(X0)),f(g(g(X0)))),
inference(resolution,[],[f33,f32]) ).
fof(f35,plain,
$false,
inference(resolution,[],[f34,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO629-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n015.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 18:01:54 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.09/0.23 % (2850747)Will run a generic schedule for satisfiability detection.
% 0.09/0.23 % (2850758)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2960196902:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.23 % (2850758) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2850747-2850758"...
% 0.09/0.23 % (2850758)...printing done.
% 0.09/0.23 % (2850758)Refutation found. Thanks to Tanya!
% 0.09/0.23 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.23 % (2850758)------------------------------
% 0.09/0.23 % (2850758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.23 % (2850758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.23 % (2850758)CaDiCaL version: 2.1.3
% 0.09/0.23 % (2850758)Termination reason: Refutation
% 0.09/0.23 % (2850758)Time elapsed: 0.001 s
% 0.09/0.23 % (2850758)Peak memory usage: 11 MB
% 0.09/0.23 % (2850758)Instructions burned: 1 (million)
% 0.09/0.23 % (2850747)Success in time 0.024 s
% 0.09/0.23 % Vampire exiting
%------------------------------------------------------------------------------