%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN562-1 : 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 : n013.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 02:17:36 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 19 ( 7 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f3,negated_conjecture,
! [X0] : ~ p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_3) ).
fof(f12,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( p10(X0,X1)
| ~ p10(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_14) ).
fof(f15,negated_conjecture,
p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
fof(f16,negated_conjecture,
p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_16) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ p10(X1,X2)
| ~ p2(X2,X0)
| ~ p2(X1,X0) ),
inference(resolution,[],[f14,f3]) ).
fof(f52,plain,
! [X0] :
( p2(f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12)))))))))))))))))),X0)
| ~ p2(f7(c11),X0) ),
inference(resolution,[],[f15,f12]) ).
fof(f84,plain,
! [X0] :
( ~ p2(f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12)))))))))))))))))),X0)
| ~ p2(f7(c11),X0) ),
inference(resolution,[],[f46,f16]) ).
fof(f85,plain,
! [X0] : ~ p2(f7(c11),X0),
inference(forward_subsumption_resolution,[],[f84,f52]) ).
fof(f87,plain,
$false,
inference(resolution,[],[f85,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN562-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 16:28:52 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.19/0.27 % (1312851)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (1312856)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4270354532_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % TRYING [1]
% 0.19/0.27 % TRYING [2]
% 0.19/0.27 % TRYING [3]
% 0.19/0.27 % TRYING [4]
% 0.19/0.27 % TRYING [5]
% 0.19/0.27 % (1312857)% WARNING: option uhcvi not known.
% 0.19/0.27 % TRYING [6]
% 0.19/0.27 % (1312857)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3452302896:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (1312858)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2674240904:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (1312859)dis+10_1_sil=32000:sp=arity:random_seed=131526348:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % TRYING [7]
% 0.19/0.27 % (1312860)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1179917502:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (1312862)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4142400510:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (1312861)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1146616794:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (1312860) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1312851-1312860"...
% 0.19/0.27 % TRYING [8]
% 0.19/0.27 % (1312860)...printing done.
% 0.19/0.27 % (1312861) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1312851-1312861"...
% 0.19/0.27 % (1312859) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1312851-1312859"...
% 0.19/0.27 % (1312857) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1312851-1312857"...
% 0.19/0.27 % (1312861)...printing done.
% 0.19/0.27 % (1312859)...printing done.
% 0.19/0.27 % (1312857)...printing done.
% 0.19/0.27 % (1312860)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (1312860)------------------------------
% 0.19/0.27 % (1312860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (1312860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (1312860)CaDiCaL version: 2.1.3
% 0.19/0.27 % (1312860)Termination reason: Refutation
% 0.19/0.27 % (1312860)Time elapsed: 0.003 s
% 0.19/0.27 % (1312860)Peak memory usage: 11 MB
% 0.19/0.27 % (1312860)Instructions burned: 3 (million)
% 0.19/0.27 % (1312851)Success in time 0.037 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------