%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN561-1 : 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 : n016.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 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
p9(c14,c10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
fof(f3,negated_conjecture,
p8(c11,c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
fof(f4,negated_conjecture,
p2(f7(c10,c14),c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p2(f6(c15,c11),c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f6,negated_conjecture,
p2(f3(f4(f5(c12)),c13),c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X0)
| p2(X0,X1)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( ~ p8(c11,X0)
| ~ p9(X0,c10)
| ~ p2(f7(c10,X0),X1)
| ~ p2(f6(X1,c11),f3(f4(f5(c12)),c13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p9_15) ).
fof(f28,plain,
! [X0] :
( ~ p2(f6(c15,c11),X0)
| p2(c16,X0) ),
inference(resolution,[],[f9,f5]) ).
fof(f30,plain,
! [X0] :
( ~ p2(f3(f4(f5(c12)),c13),X0)
| p2(c16,X0) ),
inference(resolution,[],[f9,f6]) ).
fof(f80,plain,
! [X0] :
( ~ p9(c14,c10)
| ~ p2(f7(c10,c14),X0)
| ~ p2(f6(X0,c11),f3(f4(f5(c12)),c13)) ),
inference(resolution,[],[f15,f3]) ).
fof(f81,plain,
! [X0] :
( ~ p2(f6(X0,c11),f3(f4(f5(c12)),c13))
| ~ p2(f7(c10,c14),X0) ),
inference(forward_subsumption_resolution,[],[f80,f2]) ).
fof(f89,plain,
p2(c16,f6(c15,c11)),
inference(resolution,[],[f28,f1]) ).
fof(f93,plain,
! [X0] :
( ~ p2(c16,X0)
| p2(f6(c15,c11),X0) ),
inference(resolution,[],[f89,f9]) ).
fof(f125,plain,
p2(c16,f3(f4(f5(c12)),c13)),
inference(resolution,[],[f30,f1]) ).
fof(f169,plain,
p2(f6(c15,c11),f3(f4(f5(c12)),c13)),
inference(resolution,[],[f93,f125]) ).
fof(f1251,plain,
~ p2(f7(c10,c14),c15),
inference(resolution,[],[f169,f81]) ).
fof(f1271,plain,
$false,
inference(forward_subsumption_resolution,[],[f1251,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN561-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n016.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:34:18 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.28 % (3750621)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (3750631)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2133762465:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (3750627)% WARNING: option uhcvi not known.
% 0.20/0.28 % (3750627)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2279503713:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (3750626)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=597932951_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % (3750629)dis+10_1_sil=32000:sp=arity:random_seed=256298468:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (3750628)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1450463398:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (3750630)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2250573435:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (3750632)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1002533112:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % TRYING [1]
% 0.20/0.28 % TRYING [2]
% 0.20/0.28 % (3750631) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3750621-3750631"...
% 0.20/0.28 % TRYING [3]
% 0.20/0.28 % (3750631)...printing done.
% 0.20/0.28 % (3750631)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (3750631)------------------------------
% 0.20/0.28 % (3750631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (3750631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (3750631)CaDiCaL version: 2.1.3
% 0.20/0.28 % (3750631)Termination reason: Refutation
% 0.20/0.28 % (3750631)Time elapsed: 0.010 s
% 0.20/0.28 % (3750631)Peak memory usage: 12 MB
% 0.20/0.28 % (3750631)Instructions burned: 31 (million)
% 0.20/0.28 % (3750621)Success in time 0.048 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------