%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN687-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 02:17:53 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 7 unt; 1 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 12 ~; 21 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_19) ).
fof(f40,negated_conjecture,
! [X0] : ~ p4(f5(X0,f7(c38,X0)),f5(f9(c39,X0),f7(c38,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_40) ).
fof(f55,negated_conjecture,
! [X2,X0,X1] :
( p35(f12(c37,f14(f16(f18(c40,X0),X2),X1)),X1)
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_55) ).
fof(f56,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(f5(X0,f14(f16(f18(c40,X0),X2),X1)),f5(X2,f14(f16(f18(c40,X0),X2),X1)))
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_56) ).
fof(f57,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p35(f12(X0,X2),f30(f32(c45,X0),X1))
| p4(f5(f26(f28(c46,X0),X1),X3),f5(f9(X1,f26(f28(c46,X0),X1)),X3))
| ~ p34(c36,X0)
| p4(f5(f26(f28(c46,X0),X1),X2),f5(f26(f28(c47,X0),X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_57) ).
fof(f58,negated_conjecture,
! [X2,X0,X1] :
( ~ p34(c36,X0)
| p4(f5(f26(f28(c46,X0),X1),X2),f5(f9(X1,f26(f28(c46,X0),X1)),X2))
| ~ p4(f5(f9(X1,f26(f28(c46,X0),X1)),f30(f32(c45,X0),X1)),f5(f9(X1,f26(f28(c47,X0),X1)),f30(f32(c45,X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_58) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))
| ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),X0),f14(f16(f18(c40,X2),X3),f30(f32(c45,c37),X0))),f5(f26(f28(c47,c37),X0),f14(f16(f18(c40,X2),X3),f30(f32(c45,c37),X0))))
| p4(f5(f9(c39,X2),f30(f32(c45,c37),X0)),f5(f9(c39,X3),f30(f32(c45,c37),X0))) ),
inference(resolution,[],[f57,f55]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))
| p4(f5(f26(f28(c46,c37),X0),f14(f16(f18(c40,X2),X3),f30(f32(c45,c37),X0))),f5(f26(f28(c47,c37),X0),f14(f16(f18(c40,X2),X3),f30(f32(c45,c37),X0))))
| p4(f5(f9(c39,X2),f30(f32(c45,c37),X0)),f5(f9(c39,X3),f30(f32(c45,c37),X0))) ),
inference(forward_subsumption_resolution,[],[f113,f19]) ).
fof(f116,plain,
! [X0,X1] :
( ~ p4(f5(f9(X0,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(X0,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))
| p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1)) ),
inference(resolution,[],[f58,f19]) ).
fof(f121,plain,
! [X0,X1] :
( p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))
| p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))
| p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0))) ),
inference(resolution,[],[f114,f56]) ).
fof(f123,plain,
! [X0,X1] :
( p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))
| p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0))) ),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f127,plain,
! [X0,X1] :
( p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0))
| p4(f5(f26(f28(c46,c37),c39),X1),f5(f9(c39,f26(f28(c46,c37),c39)),X1)) ),
inference(resolution,[],[f123,f116]) ).
fof(f130,definition,
( spl0_1
<=> ! [X1] : p4(f5(f26(f28(c46,c37),c39),X1),f5(f9(c39,f26(f28(c46,c37),c39)),X1)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f131,plain,
( ! [X1] : p4(f5(f26(f28(c46,c37),c39),X1),f5(f9(c39,f26(f28(c46,c37),c39)),X1))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f132,plain,
( spl0_1
| spl0_1 ),
inference(avatar_split_clause,[],[f127,f130,f130]) ).
fof(f135,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f131,f40]) ).
fof(f139,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f135]) ).
cnf(s1,plain,
( spl0_1
| spl0_1 ),
inference(sat_conversion,[],[f132]) ).
cnf(s2,plain,
spl0_1,
inference(rat,[],[s1]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f139]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s3]) ).
fof(f148,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN687-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n013.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 16:45:22 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.07/0.25 % (1318554)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (1318565)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2326889058:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.25 % (1318562)% WARNING: option uhcvi not known.
% 0.07/0.25 % (1318560)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3552560656_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.25 % (1318563)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3491251894:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.25 % (1318564)dis+10_1_sil=32000:sp=arity:random_seed=3284392226:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.25 % (1318567)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2904300155:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.25 % (1318566)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3362488925:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.25 % (1318562)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2740523801:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.25 % (1318566) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1318554-1318566"...
% 0.07/0.25 % (1318566)...printing done.
% 0.07/0.25 % (1318566)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (1318566)------------------------------
% 0.07/0.25 % (1318566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (1318566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (1318566)CaDiCaL version: 2.1.3
% 0.07/0.25 % (1318566)Termination reason: Refutation
% 0.07/0.25 % (1318566)Time elapsed: 0.004 s
% 0.07/0.25 % (1318566)Peak memory usage: 12 MB
% 0.07/0.25 % (1318566)Instructions burned: 5 (million)
% 0.07/0.25 % (1318554)Success in time 0.031 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------