%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN673-1 : 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 : n014.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 02:17:51 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.33s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 46 ( 14 unt; 2 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 84 ( 41 ~; 41 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
fof(f12,negated_conjecture,
! [X0] : p16(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_12) ).
fof(f17,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p29_17) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ p27(f12(c32,X1),X0)
| p29(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_18) ).
fof(f19,negated_conjecture,
! [X0,X1] :
( ~ p29(X1,X0)
| p27(f12(c32,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_19) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ p16(X0,c40)
| p28(f21(c30,X0),c31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_20) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ~ p10(X2,X0)
| p10(X0,X1)
| ~ p10(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_22) ).
fof(f37,negated_conjecture,
! [X0] :
( ~ p29(f24(c42,X0),c39)
| p28(f21(c30,X0),c31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_37) ).
fof(f39,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p27(X2,X3)
| p27(X0,X1)
| ~ p4(X3,X1)
| ~ p11(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_39) ).
fof(f41,negated_conjecture,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_41) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X0,X2)
| ~ p10(X1,X3)
| p11(f12(X0,X1),f12(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_45) ).
fof(f52,negated_conjecture,
! [X0] :
( ~ p10(X0,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X0)
| p29(f24(c42,f26(c43,X0)),c39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_52) ).
fof(f53,negated_conjecture,
! [X0] :
( ~ p28(f21(c30,f26(c43,X0)),c31)
| ~ p10(X0,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_53) ).
fof(f55,negated_conjecture,
! [X0,X1] :
( ~ p28(f21(c30,X1),c31)
| p27(f12(c32,f14(f19(c35,X0),f17(c36,X1))),f5(c33,f8(c34,c30)))
| ~ p27(f12(c32,X0),f5(c33,f8(c34,c30))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_55) ).
fof(f56,plain,
p28(f21(c30,c40),c31),
inference(resolution,[],[f20,f12]) ).
fof(f86,plain,
! [X0] :
( ~ p10(c38,X0)
| p10(f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)),X0) ),
inference(resolution,[],[f41,f22]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ p10(X0,X1)
| p11(f12(X2,X0),f12(X2,X1)) ),
inference(resolution,[],[f45,f2]) ).
fof(f123,plain,
( p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39))
| p29(f24(c42,f26(c43,f14(f19(c35,c37),c39))),c39) ),
inference(resolution,[],[f52,f1]) ).
fof(f135,definition,
( spl0_3
<=> p29(f24(c42,f26(c43,f14(f19(c35,c37),c39))),c39) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f137,plain,
( p29(f24(c42,f26(c43,f14(f19(c35,c37),c39))),c39)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl0_4
<=> p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f141,plain,
( p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f123,f139,f135]) ).
fof(f144,plain,
( p28(f21(c30,f26(c43,f14(f19(c35,c37),c39))),c31)
| ~ spl0_3 ),
inference(resolution,[],[f137,f37]) ).
fof(f164,plain,
! [X0] :
( ~ p27(f12(c32,X0),f5(c33,f8(c34,c30)))
| p27(f12(c32,f14(f19(c35,X0),f17(c36,c40))),f5(c33,f8(c34,c30))) ),
inference(resolution,[],[f55,f56]) ).
fof(f175,plain,
p10(f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)),c38),
inference(resolution,[],[f86,f1]) ).
fof(f179,plain,
( ~ p10(f14(f19(c35,c37),c39),f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39))
| ~ spl0_3 ),
inference(resolution,[],[f144,f53]) ).
fof(f182,plain,
( p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f179,f1]) ).
fof(f183,plain,
( spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f182,f135,f139]) ).
fof(f185,plain,
( p27(f12(c32,f14(f19(c35,c37),c39)),f5(c33,f8(c34,c30)))
| ~ spl0_4 ),
inference(resolution,[],[f141,f19]) ).
fof(f213,plain,
! [X0] : p11(f12(X0,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),f12(X0,c38)),
inference(resolution,[],[f175,f97]) ).
fof(f293,plain,
( p27(f12(c32,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),f5(c33,f8(c34,c30)))
| ~ spl0_4 ),
inference(resolution,[],[f164,f185]) ).
fof(f616,plain,
( ! [X0,X1] :
( ~ p11(f12(c32,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),X0)
| ~ p4(f5(c33,f8(c34,c30)),X1)
| p27(X0,X1) )
| ~ spl0_4 ),
inference(resolution,[],[f293,f39]) ).
fof(f3334,plain,
( ! [X0] :
( ~ p4(f5(c33,f8(c34,c30)),X0)
| p27(f12(c32,c38),X0) )
| ~ spl0_4 ),
inference(resolution,[],[f616,f213]) ).
fof(f3339,plain,
( p27(f12(c32,c38),f5(c33,f8(c34,c30)))
| ~ spl0_4 ),
inference(resolution,[],[f3334,f5]) ).
fof(f3369,plain,
( p29(f5(c33,f8(c34,c30)),c38)
| ~ spl0_4 ),
inference(resolution,[],[f3339,f18]) ).
fof(f3371,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f3369,f17]) ).
fof(f3372,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f3371]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f142]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f183]) ).
cnf(s15,plain,
~ spl0_4,
inference(sat_conversion,[],[f3372]) ).
cnf(s16,plain,
~ spl0_3,
inference(rat,[],[s4,s15]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s2,s15,s16]) ).
fof(f3373,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN673-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n014.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 16:40:30 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.33 % (1910969)Will run a generic schedule for satisfiability detection.
% 0.19/0.33 % (1910980)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=879113051:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.33 % (1910975)% WARNING: option uhcvi not known.
% 0.19/0.33 % (1910975)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=709568594:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.33 % (1910974)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1722748317_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.33 % (1910977)dis+10_1_sil=32000:sp=arity:random_seed=3084551462:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.33 % (1910976)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4060928158:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.33 % (1910978)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3799934844:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.33 % (1910979)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4132293091:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.33 % TRYING [1]
% 0.19/0.33 % TRYING [2]
% 0.19/0.33 % TRYING [3]
% 0.19/0.33 % TRYING [4]
% 0.19/0.33 % TRYING [5]
% 0.19/0.33 % (1910980)Instruction limit reached!
% 0.19/0.33 % (1910980)------------------------------
% 0.19/0.33 % (1910980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (1910980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (1910980)CaDiCaL version: 2.1.3
% 0.19/0.33 % (1910980)Termination reason: Instruction limit
% 0.19/0.33 % (1910980)Termination phase: Saturation
% 0.19/0.33 % (1910980)Time elapsed: 0.054 s
% 0.19/0.33 % (1910980)Peak memory usage: 13 MB
% 0.19/0.33 % (1910980)Instructions burned: 161 (million)
% 0.19/0.33 % (1910978)Instruction limit reached!
% 0.19/0.33 % (1910978)------------------------------
% 0.19/0.33 % (1910978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (1910978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (1910978)CaDiCaL version: 2.1.3
% 0.19/0.33 % (1910978)Termination reason: Instruction limit
% 0.19/0.33 % (1910978)Termination phase: Saturation
% 0.19/0.33 % (1910978)Time elapsed: 0.054 s
% 0.19/0.33 % (1910978)Peak memory usage: 11 MB
% 0.19/0.33 % (1910978)Instructions burned: 116 (million)
% 0.19/0.33 % (1910988)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4127130818:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.33 % TRYING [1]
% 0.19/0.33 % TRYING [2]
% 0.19/0.33 % TRYING [3]
% 0.19/0.33 % (1910977)Instruction limit reached!
% 0.19/0.33 % (1910977)------------------------------
% 0.19/0.33 % (1910977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (1910977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (1910977)CaDiCaL version: 2.1.3
% 0.19/0.33 % (1910977)Termination reason: Instruction limit
% 0.19/0.33 % (1910977)Termination phase: Saturation
% 0.19/0.33 % (1910977)Time elapsed: 0.064 s
% 0.19/0.33 % (1910977)Peak memory usage: 12 MB
% 0.19/0.33 % (1910977)Instructions burned: 104 (million)
% 0.19/0.33 % TRYING [4]
% 0.19/0.33 % (1910979) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1910969-1910979"...
% 0.19/0.33 % (1910979)...printing done.
% 0.19/0.33 % (1910979)Refutation found. Thanks to Tanya!
% 0.19/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.33 % (1910979)------------------------------
% 0.19/0.33 % (1910979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (1910979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (1910979)CaDiCaL version: 2.1.3
% 0.19/0.33 % (1910979)Termination reason: Refutation
% 0.19/0.33 % (1910979)Time elapsed: 0.068 s
% 0.19/0.33 % (1910979)Peak memory usage: 13 MB
% 0.19/0.33 % (1910979)Instructions burned: 110 (million)
% 0.19/0.33 % (1910969)Success in time 0.101 s
% 0.19/0.33 % Vampire exiting
%------------------------------------------------------------------------------