%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO617-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 02:32:14 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 64 ( 11 unt; 3 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 179 ( 93 ~; 83 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a1)
| eq(f(X0),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X0,X1] :
( ~ le(s(X0),X1)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f6,axiom,
! [X0,X1] :
( ~ le(s(X0),X1)
| ~ eq(f(X1),a1)
| ~ eq(f(X0),a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f7,axiom,
! [X0,X1] :
( ~ le(s(X0),X1)
| ~ eq(f(X1),a2)
| ~ eq(f(X0),a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f8,plain,
! [X0,X1] : le(X0,max(X0,X1)),
inference(resolution,[],[f2,f1]) ).
fof(f9,plain,
! [X2,X0,X1] : le(X0,max(max(X0,X1),X2)),
inference(resolution,[],[f8,f2]) ).
fof(f10,plain,
! [X0,X1] : le(X0,max(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f11,plain,
! [X2,X0,X1] : le(X0,max(max(X1,X0),X2)),
inference(resolution,[],[f3,f8]) ).
fof(f13,plain,
! [X2,X0,X1] : le(X0,max(X1,max(X0,X2))),
inference(resolution,[],[f10,f2]) ).
fof(f16,plain,
! [X0] :
( ~ eq(f(s(X0)),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[],[f5,f1]) ).
fof(f18,plain,
! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a0)
| ~ eq(f(X1),a0) ),
inference(resolution,[],[f5,f10]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ eq(f(max(max(s(X0),X1),X2)),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[],[f5,f9]) ).
fof(f24,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a1)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f6,f8]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ eq(f(max(max(X0,s(X1)),X2)),a1)
| ~ eq(f(X1),a1) ),
inference(resolution,[],[f6,f11]) ).
fof(f33,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a2)
| ~ eq(f(X0),a2) ),
inference(resolution,[],[f7,f8]) ).
fof(f34,plain,
! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a2)
| ~ eq(f(X1),a2) ),
inference(resolution,[],[f7,f10]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ eq(f(max(X0,max(s(X1),X2))),a2)
| ~ eq(f(X1),a2) ),
inference(resolution,[],[f13,f7]) ).
fof(f69,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a1)
| ~ eq(f(X0),a2)
| eq(f(max(s(X0),X1)),a0) ),
inference(resolution,[],[f33,f4]) ).
fof(f75,plain,
! [X0,X1] :
( eq(f(max(X1,s(X0))),a1)
| ~ eq(f(X0),a2)
| eq(f(max(X1,s(X0))),a0) ),
inference(resolution,[],[f34,f4]) ).
fof(f135,plain,
! [X2,X0,X1] :
( eq(f(max(X1,max(s(X0),X2))),a1)
| ~ eq(f(X0),a2)
| eq(f(max(X1,max(s(X0),X2))),a0) ),
inference(resolution,[],[f40,f4]) ).
fof(f169,plain,
! [X2,X0,X1] :
( eq(f(max(max(X1,s(X2)),s(X0))),a0)
| ~ eq(f(X0),a2)
| ~ eq(f(X2),a1) ),
inference(resolution,[],[f75,f27]) ).
fof(f326,definition,
( spl0_1
<=> ! [X1] : ~ eq(f(X1),a0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f327,plain,
( ! [X1] : ~ eq(f(X1),a0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f358,definition,
( spl0_4
<=> ! [X0] : ~ eq(f(X0),a2) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f359,plain,
( ! [X0] : ~ eq(f(X0),a2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f362,definition,
( spl0_5
<=> ! [X1] : ~ eq(f(X1),a1) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f363,plain,
( ! [X1] : ~ eq(f(X1),a1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f369,plain,
( ! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a2) )
| ~ spl0_5 ),
inference(resolution,[],[f363,f69]) ).
fof(f395,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a2)
| ~ eq(f(X1),a0) )
| ~ spl0_5 ),
inference(resolution,[],[f369,f18]) ).
fof(f408,plain,
( spl0_1
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f395,f362,f358,f326]) ).
fof(f409,plain,
! [X2,X0,X1] :
( ~ eq(f(X0),a2)
| ~ eq(f(X1),a1)
| ~ eq(f(X2),a0) ),
inference(resolution,[],[f169,f19]) ).
fof(f416,plain,
( ! [X0] : ~ eq(f(X0),a2)
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f327,f369]) ).
fof(f425,plain,
( spl0_4
| ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f416,f362,f326,f358]) ).
fof(f439,plain,
( ! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_4 ),
inference(resolution,[],[f359,f4]) ).
fof(f440,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f439,f363]) ).
fof(f456,plain,
( ! [X0] : ~ eq(f(X0),a0)
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f440,f16]) ).
fof(f499,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f456,f440]) ).
fof(f500,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f514,plain,
( ! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a1) )
| ~ spl0_4 ),
inference(resolution,[],[f439,f24]) ).
fof(f529,plain,
! [X2,X0,X1] :
( ~ eq(f(X0),a2)
| eq(f(max(s(X1),max(s(X0),X2))),a0)
| ~ eq(f(X1),a1) ),
inference(resolution,[],[f135,f24]) ).
fof(f548,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a1)
| ~ eq(f(X1),a0) )
| ~ spl0_4 ),
inference(resolution,[],[f514,f18]) ).
fof(f561,plain,
( spl0_1
| spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f548,f358,f362,f326]) ).
fof(f564,plain,
( ! [X0] : ~ eq(f(X0),a1)
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f327,f514]) ).
fof(f573,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f564,f358,f326,f362]) ).
fof(f613,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a2)
| ~ eq(f(X1),a1) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f529,f327]) ).
fof(f659,plain,
( spl0_5
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f613,f326,f358,f362]) ).
fof(f671,plain,
( spl0_1
| spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f409,f358,f362,f326]) ).
cnf(s17,plain,
( spl0_1
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f408]) ).
cnf(s18,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f425]) ).
cnf(s35,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f500]) ).
cnf(s42,plain,
( spl0_1
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f561]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f573]) ).
cnf(s90,plain,
( ~ spl0_1
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f659]) ).
cnf(s102,plain,
( spl0_1
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f671]) ).
cnf(s103,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s42,s35]) ).
cnf(s104,plain,
( spl0_4
| spl0_1 ),
inference(rat,[],[s17,s102]) ).
cnf(s105,plain,
spl0_1,
inference(rat,[],[s104,s103]) ).
cnf(s106,plain,
~ spl0_4,
inference(rat,[],[s43,s35,s105]) ).
cnf(s107,plain,
spl0_5,
inference(rat,[],[s90,s105,s106]) ).
cnf(s108,plain,
$false,
inference(rat,[],[s18,s105,s107,s106]) ).
fof(f672,plain,
$false,
inference(avatar_sat_refutation,[],[s108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO617-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 17:56:30 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.30 % (3297781)Will run a generic schedule for satisfiability detection.
% 0.20/0.30 % (3297786)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1940155800_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.30 % TRYING [1]
% 0.20/0.30 % TRYING [2]
% 0.20/0.30 % TRYING [3]
% 0.20/0.30 % (3297787)% WARNING: option uhcvi not known.
% 0.20/0.30 % TRYING [4]
% 0.20/0.30 % TRYING [5]
% 0.20/0.30 % (3297787)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1583213046:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.30 % (3297788)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=116773877:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.30 % (3297789)dis+10_1_sil=32000:sp=arity:random_seed=1514100316:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.30 % (3297790)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2397692036:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.30 % (3297791)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3285300455:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.30 % (3297792)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=356822449:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.30 % TRYING [6]
% 0.20/0.30 % (3297790) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3297781-3297790"...
% 0.20/0.30 % (3297790)...printing done.
% 0.20/0.30 % (3297790)Refutation found. Thanks to Tanya!
% 0.20/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.30 % (3297790)------------------------------
% 0.20/0.30 % (3297790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (3297790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (3297790)CaDiCaL version: 2.1.3
% 0.20/0.30 % (3297790)Termination reason: Refutation
% 0.20/0.30 % (3297790)Time elapsed: 0.015 s
% 0.20/0.30 % (3297790)Peak memory usage: 12 MB
% 0.20/0.30 % (3297790)Instructions burned: 24 (million)
% 0.20/0.30 % (3297781)Success in time 0.062 s
% 0.20/0.30 % Vampire exiting
%------------------------------------------------------------------------------