%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN669-1 : 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 : n005.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 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f12,negated_conjecture,
p25(c36,c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).
fof(f13,negated_conjecture,
p25(c32,c36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_13) ).
fof(f18,negated_conjecture,
! [X0] : ~ p2(X0,f18(X0,f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_18) ).
fof(f30,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_30) ).
fof(f39,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).
fof(f49,negated_conjecture,
! [X0] :
( ~ p25(X0,c33)
| ~ p25(c32,X0)
| p2(f11(f4(X0),c34),f11(f4(c32),c34)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_49) ).
fof(f74,plain,
! [X0,X1] :
( ~ p2(X1,f18(X0,f9(f17(c31))))
| ~ p2(X1,X0) ),
inference(resolution,[],[f30,f18]) ).
fof(f82,plain,
! [X0,X1] :
( p2(X1,X0)
| ~ p2(X0,X1) ),
inference(resolution,[],[f30,f7]) ).
fof(f168,plain,
( ~ p25(c32,c36)
| p2(f11(f4(c36),c34),f11(f4(c32),c34)) ),
inference(resolution,[],[f49,f12]) ).
fof(f171,plain,
p2(f11(f4(c36),c34),f11(f4(c32),c34)),
inference(forward_subsumption_resolution,[],[f168,f13]) ).
fof(f251,plain,
p2(f11(f4(c32),c34),f11(f4(c36),c34)),
inference(resolution,[],[f171,f82]) ).
fof(f264,plain,
~ p2(f11(f4(c32),c34),f11(f4(c36),c34)),
inference(resolution,[],[f74,f39]) ).
fof(f265,plain,
$false,
inference(forward_subsumption_resolution,[],[f264,f251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN669-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 16:40:46 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.26 % (920516)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (920521)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1776458478_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % (920524)dis+10_1_sil=32000:sp=arity:random_seed=1362346601:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (920523)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3901702601:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26 % (920525)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=237231292:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (920526)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3951610079:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26 % (920527)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2160545001:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.26 % (920522)% WARNING: option uhcvi not known.
% 0.09/0.26 % TRYING [1]
% 0.09/0.26 % TRYING [2]
% 0.09/0.26 % (920522)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2525197710:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % TRYING [3]
% 0.09/0.26 % (920525) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-920516-920525"...
% 0.09/0.26 % (920525)...printing done.
% 0.09/0.26 % (920525)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (920525)------------------------------
% 0.09/0.26 % (920525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (920525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (920525)CaDiCaL version: 2.1.3
% 0.09/0.26 % (920525)Termination reason: Refutation
% 0.09/0.26 % (920525)Time elapsed: 0.006 s
% 0.09/0.26 % (920525)Peak memory usage: 11 MB
% 0.09/0.26 % (920525)Instructions burned: 9 (million)
% 0.09/0.26 % (920516)Success in time 0.04 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------