%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN620-1 : 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 : n014.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 02:17:44 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 11 unt; 2 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 28 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
fof(f5,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_5) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( p11(f12(X0),f12(X1))
| ~ p10(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_18) ).
fof(f19,negated_conjecture,
! [X2,X0,X1] :
( p10(X0,X1)
| ~ p10(X2,X0)
| ~ p10(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_19) ).
fof(f24,negated_conjecture,
! [X0] : p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_24) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( p20(X0,X1)
| ~ p11(X2,X1)
| ~ p20(X3,X2)
| ~ p11(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_28) ).
fof(f32,negated_conjecture,
! [X0] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_32) ).
fof(f33,negated_conjecture,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p20_33) ).
fof(f51,plain,
! [X0,X1] :
( ~ p20(X1,X0)
| ~ p11(X0,f12(f13(f6(c22),c27)))
| ~ p11(X1,f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
inference(resolution,[],[f33,f28]) ).
fof(f129,plain,
! [X0] :
( ~ p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27)))
| ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
inference(resolution,[],[f51,f32]) ).
fof(f131,definition,
( spl0_3
<=> p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f133,plain,
( ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))
| spl0_3 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f135,definition,
( spl0_4
<=> ! [X0] : ~ p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f136,plain,
( ! [X0] : ~ p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f137,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f129,f135,f131]) ).
fof(f139,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f133,f5]) ).
fof(f142,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f143,plain,
( ! [X0] : ~ p10(f13(f6(c24),X0),f13(f6(c22),c27))
| ~ spl0_4 ),
inference(resolution,[],[f136,f18]) ).
fof(f146,plain,
( ! [X0,X1] :
( ~ p10(X0,f13(f6(c24),X1))
| ~ p10(X0,f13(f6(c22),c27)) )
| ~ spl0_4 ),
inference(resolution,[],[f143,f19]) ).
fof(f239,plain,
( ! [X0] : ~ p10(f13(f6(c22),X0),f13(f6(c22),c27))
| ~ spl0_4 ),
inference(resolution,[],[f146,f24]) ).
fof(f245,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f239,f1]) ).
fof(f247,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f245]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f137]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f142]) ).
cnf(s6,plain,
~ spl0_4,
inference(sat_conversion,[],[f247]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s3,s6,s4]) ).
fof(f253,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN620-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n014.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 16:37:30 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.19/0.29 % (1909688)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (1909698)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2491197953:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (1909694)% WARNING: option uhcvi not known.
% 0.19/0.29 % (1909693)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1779983396_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (1909694)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4288406071:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (1909697)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3041198082:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (1909695)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1955502863:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (1909696)dis+10_1_sil=32000:sp=arity:random_seed=536649953:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (1909699)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1748943534:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % TRYING [1]
% 0.19/0.29 % TRYING [2]
% 0.19/0.29 % TRYING [3]
% 0.19/0.29 % (1909699) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1909688-1909699"...
% 0.19/0.29 % (1909699)...printing done.
% 0.19/0.29 % (1909699)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (1909699)------------------------------
% 0.19/0.29 % (1909699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (1909699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (1909699)CaDiCaL version: 2.1.3
% 0.19/0.29 % (1909699)Termination reason: Refutation
% 0.19/0.29 % (1909699)Time elapsed: 0.006 s
% 0.19/0.29 % (1909699)Peak memory usage: 12 MB
% 0.19/0.29 % (1909699)Instructions burned: 8 (million)
% 0.19/0.29 % (1909688)Success in time 0.041 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------