%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN690-1 : 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 : n006.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 02:17:54 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 10 unt; 3 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 37 ~; 48 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_19) ).
fof(f20,negated_conjecture,
~ p2(c38,c40),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_20) ).
fof(f21,negated_conjecture,
! [X0] : p4(f5(c40,X0),f5(f7(c39,c40),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_21) ).
fof(f22,negated_conjecture,
! [X0] : p4(f5(c38,X0),f5(f7(c39,c38),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_22) ).
fof(f57,negated_conjecture,
! [X2,X0,X1] :
( p35(f10(c37,f12(f14(f16(c41,X0),X2),X1)),X1)
| p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_57) ).
fof(f58,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(f5(X0,f12(f14(f16(c41,X0),X2),X1)),f5(X2,f12(f14(f16(c41,X0),X2),X1)))
| p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_58) ).
fof(f61,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p35(f10(X2,X4),f30(f32(c42,X2),X3))
| p4(f5(f26(f28(c43,X2),X3),X4),f5(f26(f28(c44,X2),X3),X4))
| ~ p34(c36,X2)
| p2(X0,X1)
| ~ p4(f5(X0,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X0),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X1),f18(f20(f22(f24(c45,X2),X3),X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_61) ).
fof(f62,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p34(c36,X2)
| p2(X0,X1)
| ~ p4(f5(X0,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X0),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X1),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p4(f5(f7(X3,f26(f28(c43,X2),X3)),f30(f32(c42,X2),X3)),f5(f7(X3,f26(f28(c44,X2),X3)),f30(f32(c42,X2),X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_62) ).
fof(f127,plain,
! [X2,X3,X0,X1,X4] :
( p4(f5(f26(f28(c43,c37),X0),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),X0))),f5(f26(f28(c44,c37),X0),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),X0))))
| ~ p34(c36,c37)
| p2(X3,X4)
| ~ p4(f5(X3,f18(f20(f22(f24(c45,c37),X0),X3),X4)),f5(f7(X0,X3),f18(f20(f22(f24(c45,c37),X0),X3),X4)))
| ~ p4(f5(X4,f18(f20(f22(f24(c45,c37),X0),X3),X4)),f5(f7(X0,X4),f18(f20(f22(f24(c45,c37),X0),X3),X4)))
| p4(f5(f7(c39,X1),f30(f32(c42,c37),X0)),f5(f7(c39,X2),f30(f32(c42,c37),X0))) ),
inference(resolution,[],[f61,f57]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] :
( ~ p4(f5(X3,f18(f20(f22(f24(c45,c37),X0),X3),X4)),f5(f7(X0,X3),f18(f20(f22(f24(c45,c37),X0),X3),X4)))
| p2(X3,X4)
| p4(f5(f26(f28(c43,c37),X0),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),X0))),f5(f26(f28(c44,c37),X0),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),X0))))
| ~ p4(f5(X4,f18(f20(f22(f24(c45,c37),X0),X3),X4)),f5(f7(X0,X4),f18(f20(f22(f24(c45,c37),X0),X3),X4)))
| p4(f5(f7(c39,X1),f30(f32(c42,c37),X0)),f5(f7(c39,X2),f30(f32(c42,c37),X0))) ),
inference(forward_subsumption_resolution,[],[f127,f19]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X0),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
| p2(X0,X1)
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X1),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
| ~ p4(f5(f7(X2,f26(f28(c43,c37),X2)),f30(f32(c42,c37),X2)),f5(f7(X2,f26(f28(c44,c37),X2)),f30(f32(c42,c37),X2))) ),
inference(resolution,[],[f62,f19]) ).
fof(f159,plain,
! [X0] :
( p2(c38,X0)
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),c38),X0)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),c38),X0)))
| ~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))) ),
inference(resolution,[],[f131,f22]) ).
fof(f164,definition,
( spl0_1
<=> p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f166,plain,
( ~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
| spl0_1 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f176,definition,
( spl0_4
<=> ! [X0] :
( p2(c38,X0)
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),c38),X0)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),c38),X0))) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f177,plain,
( ! [X0] :
( ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),c38),X0)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),c38),X0)))
| p2(c38,X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f159,f176,f164]) ).
fof(f187,plain,
! [X2,X0,X1] :
( p2(c38,X0)
| p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39))))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),c38),X0)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),c38),X0)))
| p4(f5(f7(c39,X1),f30(f32(c42,c37),c39)),f5(f7(c39,X2),f30(f32(c42,c37),c39))) ),
inference(resolution,[],[f128,f22]) ).
fof(f192,definition,
( spl0_6
<=> ! [X2,X1] :
( p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39))))
| p4(f5(f7(c39,X1),f30(f32(c42,c37),c39)),f5(f7(c39,X2),f30(f32(c42,c37),c39))) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f193,plain,
( ! [X2,X1] :
( p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39))))
| p4(f5(f7(c39,X1),f30(f32(c42,c37),c39)),f5(f7(c39,X2),f30(f32(c42,c37),c39))) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f196,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f187,f176,f192]) ).
fof(f250,plain,
( p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
| p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
| ~ spl0_6 ),
inference(resolution,[],[f193,f58]) ).
fof(f252,plain,
( p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f250]) ).
fof(f253,plain,
( $false
| spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f252,f166]) ).
fof(f254,plain,
( spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f264,plain,
( p2(c38,c40)
| ~ spl0_4 ),
inference(resolution,[],[f177,f21]) ).
fof(f285,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f264,f20]) ).
fof(f286,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f285]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f178]) ).
cnf(s7,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f196]) ).
cnf(s11,plain,
( spl0_1
| ~ spl0_6 ),
inference(sat_conversion,[],[f254]) ).
cnf(s14,plain,
~ spl0_4,
inference(sat_conversion,[],[f286]) ).
cnf(s15,plain,
spl0_6,
inference(rat,[],[s7,s14]) ).
cnf(s16,plain,
spl0_1,
inference(rat,[],[s11,s15]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s3,s14,s16]) ).
fof(f287,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN690-1 : 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 : n006.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 16:45:40 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
% 0.07/0.26 % (4106791)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (4106797)% WARNING: option uhcvi not known.
% 0.07/0.26 % (4106796)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2761920230_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.26 % (4106798)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1414912855:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.26 % (4106799)dis+10_1_sil=32000:sp=arity:random_seed=960935379:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.26 % (4106800)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1166020017:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.26 % (4106801)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1817671911:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.26 % (4106802)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4229156984:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.26 % (4106797)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1661454934:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.26 % (4106801) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4106791-4106801"...
% 0.07/0.26 % (4106801)...printing done.
% 0.07/0.26 % (4106801)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (4106801)------------------------------
% 0.07/0.26 % (4106801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (4106801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (4106801)CaDiCaL version: 2.1.3
% 0.07/0.26 % (4106801)Termination reason: Refutation
% 0.07/0.26 % (4106801)Time elapsed: 0.008 s
% 0.07/0.26 % (4106801)Peak memory usage: 12 MB
% 0.07/0.26 % (4106801)Instructions burned: 10 (million)
% 0.07/0.26 % (4106791)Success in time 0.046 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------