%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO038-1.003.003 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 02:29:37 PM UTC 2026
% Result : Unsatisfiable 0.33s 0.44s
% Output : Refutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 22 unt; 2 def)
% Number of atoms : 64 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 47 ( 26 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : f(X0,one) = s(one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
! [X0] : f(one,s(X0)) = s(s(f(one,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
! [X0,X1] : f(s(X0),s(X1)) = f(X0,f(s(X0),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
d(one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
! [X0] :
( d(s(X0))
| ~ d(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,negated_conjecture,
~ d(f(s(s(one)),s(s(one)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f16,plain,
f(one,s(one)) = s(s(s(one))),
inference(superposition,[],[f2,f1]) ).
fof(f18,plain,
! [X0] :
( ~ d(s(f(one,X0)))
| d(f(one,s(X0))) ),
inference(superposition,[],[f5,f2]) ).
fof(f30,plain,
! [X0] : f(s(X0),s(one)) = f(X0,s(one)),
inference(superposition,[],[f3,f1]) ).
fof(f34,plain,
! [X0] : f(s(X0),s(s(one))) = f(X0,f(X0,s(one))),
inference(superposition,[],[f3,f30]) ).
fof(f49,plain,
! [X0] : f(s(s(X0)),s(s(one))) = f(s(X0),f(X0,s(one))),
inference(superposition,[],[f34,f30]) ).
fof(f50,plain,
! [X0] : f(s(X0),s(s(s(one)))) = f(X0,f(X0,f(X0,s(one)))),
inference(superposition,[],[f3,f34]) ).
fof(f101,plain,
~ d(f(s(one),f(one,s(one)))),
inference(superposition,[],[f6,f49]) ).
fof(f104,plain,
~ d(f(s(one),s(s(s(one))))),
inference(forward_demodulation,[],[f101,f16]) ).
fof(f120,plain,
f(one,f(one,s(s(s(one))))) = f(s(one),s(s(s(one)))),
inference(superposition,[],[f50,f16]) ).
fof(f154,plain,
! [X0] :
( d(f(one,s(X0)))
| ~ d(f(one,X0)) ),
inference(resolution,[],[f18,f5]) ).
fof(f201,plain,
! [X0] :
( ~ d(f(one,s(f(one,X0))))
| d(f(one,f(one,s(X0)))) ),
inference(superposition,[],[f154,f2]) ).
fof(f203,plain,
( d(s(s(s(one))))
| ~ d(f(one,one)) ),
inference(superposition,[],[f154,f16]) ).
fof(f206,plain,
( ~ d(s(one))
| d(s(s(s(one)))) ),
inference(forward_demodulation,[],[f203,f1]) ).
fof(f217,definition,
( spl0_6
<=> d(s(s(s(one)))) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f219,plain,
( d(s(s(s(one))))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f221,definition,
( spl0_7
<=> d(s(one)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f223,plain,
( ~ d(s(one))
| spl0_7 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f224,plain,
( spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f206,f221,f217]) ).
fof(f262,plain,
! [X0] :
( d(f(one,f(one,s(X0))))
| ~ d(f(one,f(one,X0))) ),
inference(resolution,[],[f201,f154]) ).
fof(f300,plain,
( d(f(one,s(s(s(one)))))
| ~ d(f(one,f(one,one))) ),
inference(superposition,[],[f262,f16]) ).
fof(f385,plain,
( d(f(s(one),s(s(s(one)))))
| ~ d(f(one,f(one,s(s(one))))) ),
inference(superposition,[],[f262,f120]) ).
fof(f390,plain,
~ d(f(one,f(one,s(s(one))))),
inference(forward_subsumption_resolution,[],[f385,f104]) ).
fof(f395,plain,
~ d(f(one,f(one,s(one)))),
inference(resolution,[],[f390,f262]) ).
fof(f396,plain,
~ d(f(one,s(s(s(one))))),
inference(forward_demodulation,[],[f395,f16]) ).
fof(f400,plain,
( ~ d(f(one,s(one)))
| d(f(one,s(s(s(one))))) ),
inference(forward_demodulation,[],[f300,f1]) ).
fof(f401,plain,
( ~ d(s(s(s(one))))
| d(f(one,s(s(s(one))))) ),
inference(forward_demodulation,[],[f400,f16]) ).
fof(f402,plain,
( d(f(one,s(s(s(one)))))
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f401,f219]) ).
fof(f403,plain,
( $false
| ~ spl0_6 ),
inference(global_subsumption,[],[f402,f396]) ).
fof(f404,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f408,plain,
( ~ d(one)
| spl0_7 ),
inference(resolution,[],[f223,f5]) ).
fof(f409,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f408,f4]) ).
fof(f410,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f409]) ).
cnf(s143,plain,
( spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f224]) ).
cnf(s255,plain,
~ spl0_6,
inference(sat_conversion,[],[f404]) ).
cnf(s265,plain,
spl0_7,
inference(sat_conversion,[],[f410]) ).
cnf(s267,plain,
$false,
inference(rat,[],[s143,s265,s255]) ).
fof(f411,plain,
$false,
inference(avatar_sat_refutation,[],[s267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYO038-1.003.003 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.29 % Computer : n002.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8046.5625MB
% 0.11/0.29 % OS : Linux 6.8.0-71-generic
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Mon Sep 28 17:24:38 UTC 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.29/0.35 Running first-order model finding
% 0.29/0.35 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
% 0.33/0.44 % (534181)Will run a generic schedule for satisfiability detection.
% 0.33/0.44 % (534189)dis+10_1_sil=32000:sp=arity:random_seed=3671076968:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.33/0.44 % (534187)% WARNING: option uhcvi not known.
% 0.33/0.44 % (534188)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2869000128:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.33/0.44 % (534187)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1428939727:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.33/0.44 % (534186)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4134184583_2999 on theBenchmark for (2999ds/0Mi)
% 0.33/0.44 % (534190)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4185160206:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.33/0.44 % (534191)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=152434064:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.33/0.44 % TRYING [1]
% 0.33/0.44 % TRYING [2]
% 0.33/0.44 % TRYING [3]
% 0.33/0.44 % TRYING [4]
% 0.33/0.44 % TRYING [5]
% 0.33/0.44 % (534188) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-534181-534188"...
% 0.33/0.44 % TRYING [6]
% 0.33/0.44 % (534188)...printing done.
% 0.33/0.44 % (534189) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-534181-534189"...
% 0.33/0.44 % (534188)Refutation found. Thanks to Tanya!
% 0.33/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.33/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.33/0.44 % (534188)------------------------------
% 0.33/0.44 % (534188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.44 % (534188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.44 % (534188)CaDiCaL version: 2.1.3
% 0.33/0.44 % (534188)Termination reason: Refutation
% 0.33/0.44 % (534188)Time elapsed: 0.023 s
% 0.33/0.44 % (534188)Peak memory usage: 12 MB
% 0.33/0.44 % (534188)Instructions burned: 21 (million)
% 0.33/0.44 % (534181)Success in time 0.072 s
% 0.33/0.44 % Vampire exiting
%------------------------------------------------------------------------------