%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN618-1 : 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 : n002.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 02:17:44 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.25s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 34 ( 15 unt; 1 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 83 ( 44 ~; 38 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p5(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f8,negated_conjecture,
p13(c23,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_8) ).
fof(f9,negated_conjecture,
p13(c19,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_9) ).
fof(f12,negated_conjecture,
p2(c17,f3(c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f16,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_16) ).
fof(f17,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p5_17) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ~ p5(X2,X1)
| ~ p5(X2,X0)
| p5(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_22) ).
fof(f24,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_24) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p13(X2,X3)
| ~ p5(X2,X0)
| ~ p5(X3,X1)
| p13(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_28) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1] :
( p5(f8(X0,X1),f8(X2,X3))
| ~ p2(X0,X2)
| ~ p5(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_30) ).
fof(f31,negated_conjecture,
! [X0] :
( ~ p5(f8(c17,X0),f6(f7(c22)))
| ~ p13(X0,c21)
| ~ p13(c19,X0)
| p5(X0,c20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_31) ).
fof(f57,plain,
! [X0] :
( ~ p5(f8(f3(c16),c23),X0)
| p5(X0,f6(f7(c22))) ),
inference(resolution,[],[f22,f16]) ).
fof(f66,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(X1,X0) ),
inference(resolution,[],[f24,f5]) ).
fof(f73,plain,
p2(f3(c16),c17),
inference(resolution,[],[f66,f12]) ).
fof(f82,plain,
! [X0,X1] :
( ~ p5(c21,X1)
| ~ p5(c23,X0)
| p13(X0,X1) ),
inference(resolution,[],[f28,f8]) ).
fof(f129,plain,
! [X0] :
( ~ p5(c23,X0)
| p13(X0,c21) ),
inference(resolution,[],[f82,f3]) ).
fof(f140,plain,
! [X0,X1] :
( p5(f8(X0,X1),f6(f7(c22)))
| ~ p2(f3(c16),X0)
| ~ p5(c23,X1) ),
inference(resolution,[],[f57,f30]) ).
fof(f293,plain,
( ~ p2(f3(c16),f3(c16))
| ~ p5(c23,c20) ),
inference(resolution,[],[f140,f17]) ).
fof(f294,plain,
! [X0] :
( ~ p2(f3(c16),c17)
| ~ p5(c23,X0)
| ~ p13(X0,c21)
| ~ p13(c19,X0)
| p5(X0,c20) ),
inference(resolution,[],[f140,f31]) ).
fof(f302,plain,
! [X0] :
( ~ p5(c23,X0)
| ~ p13(X0,c21)
| ~ p13(c19,X0)
| p5(X0,c20) ),
inference(forward_subsumption_resolution,[],[f294,f73]) ).
fof(f303,plain,
~ p5(c23,c20),
inference(forward_subsumption_resolution,[],[f293,f5]) ).
fof(f305,definition,
( spl0_12
<=> ! [X0] :
( ~ p5(c23,X0)
| p5(X0,c20)
| ~ p13(c19,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f306,plain,
( ! [X0] :
( ~ p13(c19,X0)
| p5(X0,c20)
| ~ p5(c23,X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f312,plain,
! [X0] :
( ~ p5(c23,X0)
| ~ p13(c19,X0)
| p5(X0,c20) ),
inference(forward_subsumption_resolution,[],[f302,f129]) ).
fof(f313,plain,
spl0_12,
inference(avatar_split_clause,[],[f312,f305]) ).
fof(f367,plain,
( p5(c23,c20)
| ~ p5(c23,c23)
| ~ spl0_12 ),
inference(resolution,[],[f306,f9]) ).
fof(f378,plain,
( ~ p5(c23,c23)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f367,f303]) ).
fof(f379,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f378,f3]) ).
fof(f380,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f379]) ).
cnf(s11,plain,
spl0_12,
inference(sat_conversion,[],[f313]) ).
cnf(s18,plain,
~ spl0_12,
inference(sat_conversion,[],[f380]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s11,s18]) ).
fof(f381,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN618-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n002.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 16:38:52 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 Running first-order model finding
% 0.10/0.19 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
% 0.10/0.25 % (502272)Will run a generic schedule for satisfiability detection.
% 0.10/0.25 % (502281)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1881345257:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.25 % (502278)% WARNING: option uhcvi not known.
% 0.10/0.25 % (502277)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=513091150_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.25 % (502280)dis+10_1_sil=32000:sp=arity:random_seed=3624930548:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.25 % (502279)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2160260889:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.25 % (502283)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=611411500:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.25 % (502282)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4252421672:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.25 % (502278)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4186874195:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.25 % TRYING [1]
% 0.10/0.25 % TRYING [2]
% 0.10/0.25 % TRYING [3]
% 0.10/0.25 % (502283) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-502272-502283"...
% 0.10/0.25 % (502280) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-502272-502280"...
% 0.10/0.25 % (502282) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-502272-502282"...
% 0.10/0.25 % (502283)...printing done.
% 0.10/0.25 % TRYING [4]
% 0.10/0.25 % (502280)...printing done.
% 0.10/0.25 % (502282)...printing done.
% 0.10/0.25 % (502280)Refutation found. Thanks to Tanya!
% 0.10/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.25 % (502280)------------------------------
% 0.10/0.25 % (502280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.25 % (502280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.25 % (502280)CaDiCaL version: 2.1.3
% 0.10/0.25 % (502280)Termination reason: Refutation
% 0.10/0.25 % (502280)Time elapsed: 0.008 s
% 0.10/0.25 % (502280)Peak memory usage: 12 MB
% 0.10/0.25 % (502280)Instructions burned: 10 (million)
% 0.10/0.25 % (502272)Success in time 0.045 s
% 0.10/0.25 % Vampire exiting
%------------------------------------------------------------------------------