%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN649-1 : 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 : n004.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 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,negated_conjecture,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_26) ).
fof(f38,negated_conjecture,
! [X0] :
( ~ p23(f5(c24,c25),X0)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),c29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p23_38) ).
fof(f39,negated_conjecture,
! [X0,X1] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),X1)
| p23(f5(c24,X0),f14(f22(c33,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_39) ).
fof(f40,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p23(f5(f7(f10(c26,f12(c27,X1)),X0),X2),X3)
| p23(f5(X0,f14(f16(f18(f20(c30,X1),X2),X0),X3)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_40) ).
fof(f41,negated_conjecture,
! [X0,X1] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X0)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X0),X1)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_41) ).
fof(f42,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p23(f5(X1,X4),X3)
| p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3)
| ~ p23(f5(f7(f10(c26,X0),X1),X2),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_42) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3)
| p23(f5(f7(f10(c26,X0),X1),X2),f14(f16(f18(f20(c30,X0),X2),X1),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_44) ).
fof(f81,plain,
p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c29),
inference(resolution,[],[f40,f26]) ).
fof(f86,plain,
! [X0,X1] :
( ~ p23(f5(f7(f10(c26,X0),c24),X1),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29))
| p23(f5(f7(f10(c26,f12(c27,X0)),c24),X1),c29) ),
inference(resolution,[],[f42,f81]) ).
fof(f90,plain,
p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
inference(resolution,[],[f44,f26]) ).
fof(f92,plain,
p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
inference(resolution,[],[f90,f41]) ).
fof(f93,plain,
p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),
inference(resolution,[],[f90,f39]) ).
fof(f98,plain,
~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),c29),
inference(resolution,[],[f93,f38]) ).
fof(f124,plain,
p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),c29),
inference(resolution,[],[f92,f86]) ).
fof(f127,plain,
$false,
inference(forward_subsumption_resolution,[],[f124,f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN649-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n004.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 16:39:37 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.07/0.25 % (507616)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (507627)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1410782765:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.25 % (507621)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1652502178_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.25 % (507623)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2614159336:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.25 % (507624)dis+10_1_sil=32000:sp=arity:random_seed=3578207705:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.25 % (507626)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3349056363:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.25 % (507625)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2157495663:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.25 % (507622)% WARNING: option uhcvi not known.
% 0.07/0.25 % (507626) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-507616-507626"...
% 0.07/0.25 % (507626)...printing done.
% 0.07/0.25 % (507622)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=660300022:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.25 % TRYING [1]
% 0.07/0.25 % (507626)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (507626)------------------------------
% 0.07/0.25 % (507626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (507626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (507626)CaDiCaL version: 2.1.3
% 0.07/0.25 % (507626)Termination reason: Refutation
% 0.07/0.25 % (507626)Time elapsed: 0.004 s
% 0.07/0.25 % (507626)Peak memory usage: 11 MB
% 0.07/0.25 % (507626)Instructions burned: 4 (million)
% 0.07/0.25 % (507616)Success in time 0.038 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------