%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN693-1 : 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 : n026.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 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 17 unt; 1 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 20 ~; 20 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).
fof(f12,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f16,negated_conjecture,
p2(c44,c46),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
fof(f34,negated_conjecture,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_34) ).
fof(f40,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_40) ).
fof(f52,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_52) ).
fof(f53,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_53) ).
fof(f58,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f11(X0,X1),f11(X2,X3))
| ~ p10(X1,X3)
| ~ p3(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_58) ).
fof(f74,plain,
! [X0] : ~ p10(X0,X0),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f78,plain,
! [X0] : ~ p2(X0,X0),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f80,plain,
~ p2(c44,c46),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f95,plain,
! [X0,X1] :
( ~ p3(f4(X0),f4(X1))
| p2(X0,X1) ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ p2(X0,X1)
| p2(X2,X0)
| p2(X2,X1) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f109,plain,
~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f110,plain,
p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( ~ p2(f11(X0,X1),f11(X2,X3))
| p10(X1,X3)
| p3(X0,X2) ),
inference(consistent_polarity_flipping,[],[f58]) ).
fof(f151,plain,
! [X0] :
( p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43))
| p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[],[f110,f100]) ).
fof(f258,plain,
! [X0,X1] :
( p2(X0,f11(f4(c46),c43))
| p2(X1,X0)
| p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(resolution,[],[f151,f100]) ).
fof(f512,plain,
! [X0] :
( p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
| p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[],[f258,f78]) ).
fof(f1412,plain,
p2(f11(f4(c44),c43),f11(f4(c46),c43)),
inference(resolution,[],[f512,f109]) ).
fof(f1427,definition,
( spl0_70
<=> p2(f11(f4(c44),c43),f11(f4(c46),c43)) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f1429,plain,
( p2(f11(f4(c44),c43),f11(f4(c46),c43))
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f1431,plain,
spl0_70,
inference(avatar_split_clause,[],[f1412,f1427]) ).
fof(f2838,plain,
( p10(c43,c43)
| p3(f4(c44),f4(c46))
| ~ spl0_70 ),
inference(resolution,[],[f1429,f115]) ).
fof(f2841,plain,
( p3(f4(c44),f4(c46))
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[],[f2838,f74]) ).
fof(f2842,plain,
( p2(c44,c46)
| ~ spl0_70 ),
inference(resolution,[],[f2841,f95]) ).
fof(f2844,plain,
( $false
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[],[f2842,f80]) ).
fof(f2845,plain,
~ spl0_70,
inference(avatar_contradiction_clause,[],[f2844]) ).
cnf(s59,plain,
spl0_70,
inference(sat_conversion,[],[f1431]) ).
cnf(s99,plain,
~ spl0_70,
inference(sat_conversion,[],[f2845]) ).
cnf(s101,plain,
$false,
inference(rat,[],[s59,s99]) ).
fof(f2846,plain,
$false,
inference(avatar_sat_refutation,[],[s101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN693-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 % Computer : n026.cluster.edu
% 0.07/0.23 % Model : x86_64 x86_64
% 0.07/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.23 % Memory : 8046.5625MB
% 0.07/0.23 % OS : Linux 6.8.0-71-generic
% 0.07/0.23 % CPULimit : 300
% 0.07/0.23 % WCLimit : 300
% 0.07/0.23 % DateTime : Mon Sep 28 16:49:57 UTC 2026
% 0.07/0.23 % CPUTime :
% 0.07/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.20/0.28 Running first-order model finding
% 0.20/0.28 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
% 0.20/0.38 % (4010493)Will run a generic schedule for satisfiability detection.
% 0.20/0.38 % (4010500)% WARNING: option uhcvi not known.
% 0.20/0.38 % (4010500)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1140799026:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.38 % (4010499)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2471151070_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.38 % (4010504)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1576270431:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.38 % (4010503)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2317949330:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.38 % (4010501)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2662435791:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.38 % (4010502)dis+10_1_sil=32000:sp=arity:random_seed=3837716391:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.38 % (4010505)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3259165758:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.38 % TRYING [1]
% 0.20/0.38 % TRYING [2]
% 0.20/0.38 % TRYING [3]
% 0.20/0.38 % TRYING [4]
% 0.20/0.38 % (4010500) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4010493-4010500"...
% 0.20/0.38 % (4010500)...printing done.
% 0.20/0.38 % (4010500)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (4010500)------------------------------
% 0.20/0.38 % (4010500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.38 % (4010500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.38 % (4010500)CaDiCaL version: 2.1.3
% 0.20/0.38 % (4010500)Termination reason: Refutation
% 0.20/0.38 % (4010500)Time elapsed: 0.066 s
% 0.20/0.38 % (4010500)Peak memory usage: 13 MB
% 0.20/0.38 % (4010500)Instructions burned: 121 (million)
% 0.20/0.38 % (4010493)Success in time 0.091 s
% 0.20/0.38 % Vampire exiting
%------------------------------------------------------------------------------