%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN625-1 : 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 : n001.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 02:17:45 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p15(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p15_1) ).
fof(f8,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f4_is_not_p15_8) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( ~ p15(X0)
| ~ p18(f9(X0),X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_10) ).
fof(f15,negated_conjecture,
! [X0] :
( p15(X0)
| p18(f9(X0),f14(X0),f14(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_15) ).
fof(f16,negated_conjecture,
! [X0] :
( ~ p17(X0,f11(c20))
| ~ p16(f9(c21),X0,c19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_16) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p16(X0,X1,X3)
| p16(X0,X1,X2)
| ~ p16(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).
fof(f32,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p18(f9(f4(f7(X2,X4),X0)),X1,X3)
| p18(f9(X0),X1,X3)
| p16(f9(X0),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_32) ).
fof(f33,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p18(f9(f4(f7(X3,X4),X0)),X1,X2)
| p17(f12(X0,X3,X4,X1,X2),f11(X4))
| p18(f9(X0),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_33) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p18(f9(f4(f7(X3,X4),X0)),X1,X2)
| p16(f9(X0),f12(X0,X3,X4,X1,X2),X2)
| p18(f9(X0),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_34) ).
fof(f37,plain,
! [X0] : ~ p18(f9(c21),X0,X0),
inference(resolution,[],[f10,f1]) ).
fof(f43,plain,
p18(f9(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),
inference(resolution,[],[f15,f8]) ).
fof(f71,plain,
( p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21)))
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(resolution,[],[f43,f34]) ).
fof(f72,plain,
( p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20))
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(resolution,[],[f43,f33]) ).
fof(f73,plain,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19) ),
inference(resolution,[],[f43,f32]) ).
fof(f74,plain,
p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19),
inference(forward_subsumption_resolution,[],[f73,f37]) ).
fof(f75,plain,
p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20)),
inference(forward_subsumption_resolution,[],[f72,f37]) ).
fof(f76,plain,
p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21))),
inference(forward_subsumption_resolution,[],[f71,f37]) ).
fof(f95,plain,
~ p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19),
inference(resolution,[],[f75,f16]) ).
fof(f128,plain,
! [X0] :
( ~ p16(f9(c21),f14(f4(f7(c19,c20),c21)),X0)
| p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),X0) ),
inference(resolution,[],[f76,f23]) ).
fof(f202,plain,
p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19),
inference(resolution,[],[f128,f74]) ).
fof(f205,plain,
$false,
inference(forward_subsumption_resolution,[],[f202,f95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN625-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n001.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 16:43:33 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.19/0.27 % (479342)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (479349)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1647108479:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (479348)% WARNING: option uhcvi not known.
% 0.19/0.27 % (479347)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2096829491_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (479348)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=717742019:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (479352)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2132163303:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (479350)dis+10_1_sil=32000:sp=arity:random_seed=2155817627:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (479351)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3942477148:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (479353)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3902699871:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % TRYING [1]
% 0.19/0.27 % TRYING [2]
% 0.19/0.27 % (479352) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-479342-479352"...
% 0.19/0.27 % TRYING [3]
% 0.19/0.27 % (479352)...printing done.
% 0.19/0.27 % (479352)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 % (479352)------------------------------
% 0.19/0.27 % (479352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (479352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (479352)CaDiCaL version: 2.1.3
% 0.19/0.27 % (479352)Termination reason: Refutation
% 0.19/0.27 % (479352)Time elapsed: 0.004 s
% 0.19/0.27 % (479352)Peak memory usage: 11 MB
% 0.19/0.27 % (479352)Instructions burned: 5 (million)
% 0.19/0.27 % (479342)Success in time 0.048 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------