%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN689-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 0.20s 0.35s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 11 unt; 2 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 37 ~; 34 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
p27(c43),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c43_is_p27_2) ).
fof(f3,negated_conjecture,
p27(c35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c35_is_p27_3) ).
fof(f10,negated_conjecture,
! [X0] : p18(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_10) ).
fof(f15,negated_conjecture,
~ p26(f17(c43),c35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p26_15) ).
fof(f17,negated_conjecture,
! [X0] :
( p27(f17(X0))
| ~ p27(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_17) ).
fof(f18,negated_conjecture,
p28(f20(f19(c43)),f19(c35)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_18) ).
fof(f31,negated_conjecture,
! [X0] :
( p18(f19(f17(X0)),f20(f19(X0)))
| ~ p27(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_31) ).
fof(f37,negated_conjecture,
! [X2,X0,X1] :
( ~ p18(X2,X1)
| ~ p18(X2,X0)
| p18(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_37) ).
fof(f41,negated_conjecture,
! [X0,X1] :
( ~ p28(f19(X0),f19(X1))
| ~ p27(X0)
| ~ p27(X1)
| p26(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_41) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p28(X3,X2)
| ~ p18(X2,X1)
| p28(X0,X1)
| ~ p18(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_44) ).
fof(f95,plain,
! [X0,X1] :
( ~ p18(X0,X1)
| p18(X1,X0) ),
inference(resolution,[],[f37,f10]) ).
fof(f101,plain,
! [X0] :
( p18(f20(f19(X0)),f19(f17(X0)))
| ~ p27(X0) ),
inference(resolution,[],[f95,f31]) ).
fof(f122,plain,
! [X0,X1] :
( ~ p18(f20(f19(c43)),X1)
| p28(X1,X0)
| ~ p18(f19(c35),X0) ),
inference(resolution,[],[f44,f18]) ).
fof(f591,plain,
! [X0] :
( ~ p27(c43)
| p28(f19(f17(c43)),X0)
| ~ p18(f19(c35),X0) ),
inference(resolution,[],[f101,f122]) ).
fof(f592,plain,
! [X0] :
( p28(f19(f17(c43)),X0)
| ~ p18(f19(c35),X0) ),
inference(forward_subsumption_resolution,[],[f591,f2]) ).
fof(f1731,plain,
! [X0] :
( ~ p18(f19(c35),f19(X0))
| ~ p27(f17(c43))
| ~ p27(X0)
| p26(f17(c43),X0) ),
inference(resolution,[],[f592,f41]) ).
fof(f1734,definition,
( spl0_183
<=> p27(f17(c43)) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f1736,plain,
( ~ p27(f17(c43))
| spl0_183 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f1738,definition,
( spl0_184
<=> ! [X0] :
( ~ p18(f19(c35),f19(X0))
| p26(f17(c43),X0)
| ~ p27(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1739,plain,
( ! [X0] :
( ~ p18(f19(c35),f19(X0))
| p26(f17(c43),X0)
| ~ p27(X0) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f1740,plain,
( ~ spl0_183
| spl0_184 ),
inference(avatar_split_clause,[],[f1731,f1738,f1734]) ).
fof(f1742,plain,
( ~ p27(c43)
| spl0_183 ),
inference(resolution,[],[f1736,f17]) ).
fof(f1743,plain,
( $false
| spl0_183 ),
inference(forward_subsumption_resolution,[],[f1742,f2]) ).
fof(f1744,plain,
spl0_183,
inference(avatar_contradiction_clause,[],[f1743]) ).
fof(f3087,plain,
( p26(f17(c43),c35)
| ~ p27(c35)
| ~ spl0_184 ),
inference(resolution,[],[f1739,f10]) ).
fof(f3088,plain,
( ~ p27(c35)
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f3087,f15]) ).
fof(f3090,plain,
( $false
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f3088,f3]) ).
fof(f3091,plain,
~ spl0_184,
inference(avatar_contradiction_clause,[],[f3090]) ).
cnf(s214,plain,
( ~ spl0_183
| spl0_184 ),
inference(sat_conversion,[],[f1740]) ).
cnf(s215,plain,
spl0_183,
inference(sat_conversion,[],[f1744]) ).
cnf(s357,plain,
~ spl0_184,
inference(sat_conversion,[],[f3091]) ).
cnf(s360,plain,
$false,
inference(rat,[],[s214,s357,s215]) ).
fof(f3092,plain,
$false,
inference(avatar_sat_refutation,[],[s360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN689-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 % Computer : n013.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 16:45:37 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.25 Running first-order model finding
% 0.10/0.25 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
% 0.20/0.35 % (1319277)Will run a generic schedule for satisfiability detection.
% 0.20/0.35 % (1319283)% WARNING: option uhcvi not known.
% 0.20/0.35 % (1319283)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3131263443:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.35 % (1319286)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1630122152:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.35 % (1319282)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=289300107_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.35 % (1319284)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1944210129:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.35 % (1319285)dis+10_1_sil=32000:sp=arity:random_seed=499972628:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.35 % TRYING [1]
% 0.20/0.35 % TRYING [2]
% 0.20/0.35 % (1319287)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4288721619:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.35 % (1319288)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1749428647:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.35 % TRYING [3]
% 0.20/0.35 % TRYING [4]
% 0.20/0.35 % TRYING [5]
% 0.20/0.35 % (1319285) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1319277-1319285"...
% 0.20/0.35 % (1319284) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1319277-1319284"...
% 0.20/0.35 % (1319285)...printing done.
% 0.20/0.35 % (1319284)...printing done.
% 0.20/0.35 % (1319285)Refutation found. Thanks to Tanya!
% 0.20/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.35 % (1319285)------------------------------
% 0.20/0.35 % (1319285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (1319285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (1319285)CaDiCaL version: 2.1.3
% 0.20/0.35 % (1319285)Termination reason: Refutation
% 0.20/0.35 % (1319285)Time elapsed: 0.046 s
% 0.20/0.35 % (1319285)Peak memory usage: 13 MB
% 0.20/0.35 % (1319285)Instructions burned: 72 (million)
% 0.20/0.35 % (1319277)Success in time 0.087 s
% 0.20/0.35 % Vampire exiting
%------------------------------------------------------------------------------