%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN641-1 : 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 : n009.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 0.24s 0.27s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 20 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_1) ).
fof(f2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_2) ).
fof(f4,negated_conjecture,
! [X0] : p6(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_4) ).
fof(f12,negated_conjecture,
p6(f7(f3(c18)),f7(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_12) ).
fof(f13,negated_conjecture,
p6(f7(f3(c19)),f7(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_13) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( ~ p6(X2,X1)
| ~ p6(X2,X0)
| p6(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_23) ).
fof(f28,negated_conjecture,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_28) ).
fof(f33,negated_conjecture,
! [X2,X3,X0,X1] :
( p6(f9(X0,X1),f9(X2,X3))
| ~ p6(X1,X3)
| ~ p6(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_33) ).
fof(f38,negated_conjecture,
! [X0,X1] :
( p6(f7(f10(X0,X1)),f9(f7(X0),f7(X1)))
| ~ p15(X0)
| ~ p15(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_38) ).
fof(f43,plain,
~ p15(f3(c19)),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f44,plain,
~ p15(f3(c18)),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f64,plain,
! [X0,X1] :
( p6(f7(f10(X0,X1)),f9(f7(X0),f7(X1)))
| p15(X0)
| p15(X1) ),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f72,plain,
! [X0,X1] :
( ~ p6(X0,X1)
| p6(X1,X0) ),
inference(resolution,[],[f23,f4]) ).
fof(f96,plain,
! [X2,X3,X0,X1,X4] :
( ~ p6(f9(X2,X0),X4)
| ~ p6(X2,X3)
| ~ p6(X0,X1)
| p6(X4,f9(X3,X1)) ),
inference(resolution,[],[f33,f23]) ).
fof(f105,plain,
! [X0,X1] :
( p6(f9(f7(X0),f7(X1)),f7(f10(X0,X1)))
| p15(X1)
| p15(X0) ),
inference(resolution,[],[f64,f72]) ).
fof(f189,plain,
! [X2,X3,X0,X1] :
( p6(f7(f10(X1,X0)),f9(X2,X3))
| p15(X1)
| ~ p6(f7(X1),X2)
| ~ p6(f7(X0),X3)
| p15(X0) ),
inference(resolution,[],[f105,f96]) ).
fof(f351,plain,
( p15(f3(c19))
| ~ p6(f7(f3(c19)),f7(c19))
| ~ p6(f7(f3(c18)),f7(c18))
| p15(f3(c18)) ),
inference(resolution,[],[f189,f28]) ).
fof(f359,plain,
( ~ p6(f7(f3(c19)),f7(c19))
| ~ p6(f7(f3(c18)),f7(c18))
| p15(f3(c18)) ),
inference(forward_subsumption_resolution,[],[f351,f43]) ).
fof(f360,plain,
( ~ p6(f7(f3(c18)),f7(c18))
| p15(f3(c18)) ),
inference(forward_subsumption_resolution,[],[f359,f13]) ).
fof(f361,plain,
p15(f3(c18)),
inference(forward_subsumption_resolution,[],[f360,f12]) ).
fof(f362,plain,
$false,
inference(forward_subsumption_resolution,[],[f361,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN641-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n009.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 16:39:11 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.24/0.27 % (3205903)Will run a generic schedule for satisfiability detection.
% 0.24/0.27 % (3205908)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1821931681_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.27 % TRYING [1]
% 0.24/0.27 % TRYING [2]
% 0.24/0.27 % TRYING [3]
% 0.24/0.27 % (3205909)% WARNING: option uhcvi not known.
% 0.24/0.27 % (3205910)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3256462254:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.27 % (3205913)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3790296294:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.27 % (3205914)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1433155545:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.27 % (3205912)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1684217993:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.27 % (3205911)dis+10_1_sil=32000:sp=arity:random_seed=3496919829:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.27 % (3205909)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3805880165:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.27 % TRYING [4]
% 0.24/0.27 % (3205909) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3205903-3205909"...
% 0.24/0.27 % (3205909)...printing done.
% 0.24/0.27 % (3205909)Refutation found. Thanks to Tanya!
% 0.24/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.27 % (3205909)------------------------------
% 0.24/0.27 % (3205909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.27 % (3205909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.27 % (3205909)CaDiCaL version: 2.1.3
% 0.24/0.27 % (3205909)Termination reason: Refutation
% 0.24/0.27 % (3205909)Time elapsed: 0.013 s
% 0.24/0.27 % (3205909)Peak memory usage: 11 MB
% 0.24/0.27 % (3205909)Instructions burned: 18 (million)
% 0.24/0.27 % (3205903)Success in time 0.051 s
% 0.24/0.27 % Vampire exiting
%------------------------------------------------------------------------------