%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN651-1 : 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 : n026.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 02:17:48 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,negated_conjecture,
p23(f5(c27,c28),c30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_13) ).
fof(f26,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_26) ).
fof(f28,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p23_28) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p23(f5(f7(f10(c24,f12(c25,X1)),X0),X2),X3)
| p23(f5(X0,f14(f16(f18(f20(c31,X1),X2),X0),X3)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_41) ).
fof(f43,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p23(f5(X1,X4),X3)
| p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3)
| ~ p23(f5(f7(f10(c24,X0),X1),X2),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_43) ).
fof(f44,negated_conjecture,
! [X2,X0,X1] :
( ~ p23(f5(c27,X0),X2)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X0),X1)
| ~ p23(f5(f7(f10(c24,c26),c27),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_44) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3)
| p23(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c31,X0),X2),X1),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_45) ).
fof(f85,plain,
p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29),
inference(resolution,[],[f41,f26]) ).
fof(f93,plain,
! [X0,X1] :
( ~ p23(f5(f7(f10(c24,X0),c27),X1),f14(f16(f18(f20(c31,c26),c30),c27),c29))
| p23(f5(f7(f10(c24,f12(c25,X0)),c27),X1),c29) ),
inference(resolution,[],[f43,f85]) ).
fof(f96,plain,
! [X0] :
( ~ p23(f5(f7(f10(c24,c26),c27),c30),X0)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),X0) ),
inference(resolution,[],[f44,f13]) ).
fof(f100,plain,
p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(resolution,[],[f45,f26]) ).
fof(f110,plain,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(resolution,[],[f96,f100]) ).
fof(f145,plain,
p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
inference(resolution,[],[f93,f110]) ).
fof(f147,plain,
$false,
inference(forward_subsumption_resolution,[],[f145,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN651-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:42:42 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.27 % (4005012)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (4005020)dis+10_1_sil=32000:sp=arity:random_seed=3428791176:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (4005018)% WARNING: option uhcvi not known.
% 0.19/0.27 % (4005017)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1039589210_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (4005022)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1731760850:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (4005019)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2427579600:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (4005018)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3413267596:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (4005021)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3196447745:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (4005023)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=322507202:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (4005022) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4005012-4005022"...
% 0.19/0.27 % (4005022)...printing done.
% 0.19/0.27 % (4005022)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 % (4005022)------------------------------
% 0.19/0.27 % (4005022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (4005022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (4005022)CaDiCaL version: 2.1.3
% 0.19/0.27 % (4005022)Termination reason: Refutation
% 0.19/0.27 % (4005022)Time elapsed: 0.004 s
% 0.19/0.27 % (4005022)Peak memory usage: 11 MB
% 0.19/0.27 % (4005022)Instructions burned: 5 (million)
% 0.19/0.27 % (4005012)Success in time 0.04 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------