%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN643-1 : 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 : n018.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 02:17:47 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 15 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_1) ).
fof(f2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_2) ).
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
fof(f10,negated_conjecture,
p4(f5(f3(c18)),f5(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_10) ).
fof(f11,negated_conjecture,
p4(f5(f3(c19)),f5(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_11) ).
fof(f24,negated_conjecture,
! [X2,X0,X1] :
( p4(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_24) ).
fof(f28,negated_conjecture,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_28) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1] :
( p4(f9(X0,X1),f9(X2,X3))
| ~ p4(X1,X3)
| ~ p4(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_35) ).
fof(f37,negated_conjecture,
! [X0,X1] :
( p4(f5(f10(X0,X1)),f9(f5(X0),f5(X1)))
| ~ p15(X0)
| ~ p15(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_37) ).
fof(f43,plain,
~ p15(f3(c19)),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f44,plain,
~ p15(f3(c18)),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f46,plain,
! [X0] : ~ p4(X0,X0),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f48,plain,
~ p4(f5(f3(c18)),f5(c18)),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f49,plain,
~ p4(f5(f3(c19)),f5(c19)),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ p4(X0,X1)
| p4(X2,X0)
| p4(X2,X1) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f57,plain,
p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( ~ p4(f9(X0,X1),f9(X2,X3))
| p4(X1,X3)
| p4(X0,X2) ),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f64,plain,
! [X0,X1] :
( ~ p4(f5(f10(X0,X1)),f9(f5(X0),f5(X1)))
| p15(X0)
| p15(X1) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f96,plain,
! [X0] :
( p4(X0,f5(f10(f3(c19),f3(c18))))
| p4(X0,f9(f5(c19),f5(c18))) ),
inference(resolution,[],[f57,f55]) ).
fof(f152,plain,
! [X0,X1] :
( p4(X0,f9(f5(c19),f5(c18)))
| p4(X1,X0)
| p4(X1,f5(f10(f3(c19),f3(c18)))) ),
inference(resolution,[],[f96,f55]) ).
fof(f222,plain,
! [X0] :
( p4(f5(f10(f3(c19),f3(c18))),X0)
| p4(X0,f9(f5(c19),f5(c18))) ),
inference(resolution,[],[f152,f46]) ).
fof(f277,plain,
( p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18)))
| p15(f3(c19))
| p15(f3(c18)) ),
inference(resolution,[],[f222,f64]) ).
fof(f280,plain,
( p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18)))
| p15(f3(c18)) ),
inference(forward_subsumption_resolution,[],[f277,f43]) ).
fof(f281,plain,
p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18))),
inference(forward_subsumption_resolution,[],[f280,f44]) ).
fof(f547,plain,
( p4(f5(f3(c18)),f5(c18))
| p4(f5(f3(c19)),f5(c19)) ),
inference(resolution,[],[f281,f62]) ).
fof(f549,plain,
p4(f5(f3(c19)),f5(c19)),
inference(forward_subsumption_resolution,[],[f547,f48]) ).
fof(f550,plain,
$false,
inference(forward_subsumption_resolution,[],[f549,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN643-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n018.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 16:41:26 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.29 % (3530442)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (3530447)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3690061025_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % TRYING [1]
% 0.20/0.29 % TRYING [2]
% 0.20/0.29 % TRYING [3]
% 0.20/0.29 % (3530448)% WARNING: option uhcvi not known.
% 0.20/0.29 % TRYING [4]
% 0.20/0.29 % (3530448)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3268090241:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (3530449)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2599702457:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (3530450)dis+10_1_sil=32000:sp=arity:random_seed=2024156399:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (3530452)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2111714746:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (3530451)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3099124236:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (3530453)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2412091691:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (3530448) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3530442-3530448"...
% 0.20/0.29 % (3530448)...printing done.
% 0.20/0.29 % TRYING [5]
% 0.20/0.29 % (3530448)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (3530448)------------------------------
% 0.20/0.29 % (3530448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3530448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3530448)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3530448)Termination reason: Refutation
% 0.20/0.29 % (3530448)Time elapsed: 0.018 s
% 0.20/0.29 % (3530448)Peak memory usage: 12 MB
% 0.20/0.29 % (3530448)Instructions burned: 28 (million)
% 0.20/0.29 % (3530442)Success in time 0.055 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------