%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN691-1 : 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 : 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 02:17:54 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.32s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,negated_conjecture,
! [X0] : p22(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_15) ).
fof(f17,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
fof(f43,negated_conjecture,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p39_43) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p39(f17(f19(f21(c47,X0),X2),X3),X1)
| p39(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_44) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p39(X2,X3)
| p39(X0,X1)
| ~ p4(X2,X0)
| ~ p22(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_45) ).
fof(f46,negated_conjecture,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_46) ).
fof(f50,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3))
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_50) ).
fof(f63,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p39(f5(c40,f10(f13(f15(c42,X0),X2),X3)),X1)
| p39(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_63) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p39(X0,X3)
| p39(f5(c40,f10(f13(f15(c42,X0),X1),X2)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_64) ).
fof(f67,negated_conjecture,
! [X2,X0,X1] : p3(f7(c41,f10(f13(f15(c42,X0),X1),X2)),f10(f13(f15(c42,f17(f19(f21(c47,X0),X1),X2)),f26(f28(f30(c48,X0),X1),X2)),f34(f36(f38(c49,X0),X1),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_67) ).
fof(f90,plain,
! [X0,X1] :
( ~ p22(c46,X1)
| ~ p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),X0)
| p39(X0,X1) ),
inference(resolution,[],[f46,f45]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ p3(X1,X2)
| p4(f5(X0,X1),f5(X0,X2)) ),
inference(resolution,[],[f50,f17]) ).
fof(f124,plain,
! [X0] :
( ~ p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),X0)
| p39(X0,c46) ),
inference(resolution,[],[f90,f15]) ).
fof(f127,plain,
! [X2,X3,X0,X1] : p4(f5(X0,f7(c41,f10(f13(f15(c42,X1),X2),X3))),f5(X0,f10(f13(f15(c42,f17(f19(f21(c47,X1),X2),X3)),f26(f28(f30(c48,X1),X2),X3)),f34(f36(f38(c49,X1),X2),X3)))),
inference(resolution,[],[f67,f97]) ).
fof(f143,plain,
p39(f5(c40,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),c46),
inference(resolution,[],[f127,f124]) ).
fof(f149,plain,
p39(f17(f19(f21(c47,c43),c44),c45),c46),
inference(resolution,[],[f143,f63]) ).
fof(f157,plain,
p39(c43,c46),
inference(resolution,[],[f149,f44]) ).
fof(f161,plain,
! [X0,X1] : p39(f5(c40,f10(f13(f15(c42,c43),X0),X1)),c46),
inference(resolution,[],[f157,f64]) ).
fof(f175,plain,
$false,
inference(resolution,[],[f161,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN691-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 % Computer : n009.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 16:46:15 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.27 Running first-order model finding
% 0.09/0.27 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
% 0.20/0.32 % (3209829)Will run a generic schedule for satisfiability detection.
% 0.20/0.32 % (3209838)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=132019192:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.32 % (3209835)% WARNING: option uhcvi not known.
% 0.20/0.32 % (3209837)dis+10_1_sil=32000:sp=arity:random_seed=4192202157:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.32 % (3209834)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3102518876_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.32 % (3209835)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=725054778:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.32 % (3209836)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3313030208:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.32 % (3209840)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2904084881:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.32 % (3209839)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3026118254:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.32 % (3209839) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3209829-3209839"...
% 0.20/0.32 % TRYING [1]
% 0.20/0.32 % TRYING [2]
% 0.20/0.32 % (3209839)...printing done.
% 0.20/0.32 % (3209839)Refutation found. Thanks to Tanya!
% 0.20/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.32 % (3209839)------------------------------
% 0.20/0.32 % (3209839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3209839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3209839)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3209839)Termination reason: Refutation
% 0.20/0.32 % (3209839)Time elapsed: 0.004 s
% 0.20/0.32 % (3209839)Peak memory usage: 11 MB
% 0.20/0.32 % (3209839)Instructions burned: 5 (million)
% 0.20/0.32 % (3209829)Success in time 0.045 s
% 0.20/0.32 % Vampire exiting
%------------------------------------------------------------------------------