%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN686-1 : 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 02:17:53 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.35s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 59 ( 27 unt; 4 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 99 ( 51 ~; 44 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
fof(f12,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f17,negated_conjecture,
p3(c36,f7(c33,c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
fof(f19,negated_conjecture,
p4(f5(c32,c36),c37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_19) ).
fof(f20,negated_conjecture,
p4(f5(c32,f7(c33,c34)),c35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_20) ).
fof(f21,negated_conjecture,
p30(f10(f12(c39,c36),c37),c41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_21) ).
fof(f22,negated_conjecture,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p30_22) ).
fof(f27,negated_conjecture,
! [X2,X0,X1] :
( p4(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_27) ).
fof(f39,negated_conjecture,
! [X2,X3,X0,X1] :
( p30(X0,X1)
| ~ p4(X2,X1)
| ~ p9(X3,X0)
| ~ p30(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_39) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1] :
( p9(f10(X0,X1),f10(X2,X3))
| ~ p4(X1,X3)
| ~ p8(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_41) ).
fof(f50,negated_conjecture,
! [X2,X3,X0,X1] :
( p4(f5(X0,X1),f5(X2,X3))
| ~ p2(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_50) ).
fof(f51,negated_conjecture,
! [X2,X3,X0,X1] :
( p8(f12(X0,X1),f12(X2,X3))
| ~ p11(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_51) ).
fof(f60,plain,
! [X0] : ~ p4(X0,X0),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f66,plain,
~ p3(c36,f7(c33,c34)),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f68,plain,
~ p4(f5(c32,c36),c37),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f69,plain,
~ p4(f5(c32,f7(c33,c34)),c35),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f70,plain,
~ p30(f10(f12(c39,c36),c37),c41),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f71,plain,
p30(f10(f12(c39,f7(c33,c34)),c35),c41),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f73,plain,
! [X2,X0,X1] :
( p4(X2,X1)
| p4(X2,X0)
| ~ p4(X0,X1) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f79,plain,
! [X2,X3,X0,X1] :
( p30(X3,X2)
| p4(X2,X1)
| ~ p9(X3,X0)
| ~ p30(X0,X1) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( p9(f10(X0,X1),f10(X2,X3))
| p4(X1,X3)
| ~ p8(X0,X2) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| ~ p4(f5(X0,X1),f5(X2,X3))
| p3(X1,X3) ),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( p8(f12(X0,X1),f12(X2,X3))
| ~ p11(X0,X2)
| p3(X1,X3) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f102,plain,
! [X0] :
( p4(f5(c32,c36),X0)
| ~ p4(X0,c37) ),
inference(resolution,[],[f73,f68]) ).
fof(f103,plain,
! [X0] :
( p4(f5(c32,f7(c33,c34)),X0)
| ~ p4(X0,c35) ),
inference(resolution,[],[f73,f69]) ).
fof(f159,plain,
! [X0,X1] :
( p4(c41,X0)
| ~ p9(f10(f12(c39,c36),c37),X1)
| ~ p30(X1,X0) ),
inference(resolution,[],[f79,f70]) ).
fof(f217,plain,
! [X2,X0,X1] :
( p3(X1,X2)
| ~ p4(f5(X0,X1),f5(X0,X2)) ),
inference(resolution,[],[f90,f12]) ).
fof(f221,plain,
! [X0] : ~ p4(f5(X0,c36),f5(X0,f7(c33,c34))),
inference(resolution,[],[f217,f66]) ).
fof(f253,plain,
~ p4(f5(c32,f7(c33,c34)),c37),
inference(resolution,[],[f221,f102]) ).
fof(f256,plain,
~ p4(c37,c35),
inference(resolution,[],[f253,f103]) ).
fof(f414,plain,
! [X0] :
( ~ p30(X0,c41)
| ~ p9(f10(f12(c39,c36),c37),X0) ),
inference(resolution,[],[f159,f60]) ).
fof(f415,plain,
~ p9(f10(f12(c39,c36),c37),f10(f12(c39,f7(c33,c34)),c35)),
inference(resolution,[],[f414,f71]) ).
fof(f596,plain,
( p4(c37,c35)
| ~ p8(f12(c39,c36),f12(c39,f7(c33,c34))) ),
inference(resolution,[],[f415,f81]) ).
fof(f599,definition,
( spl0_1
<=> p8(f12(c39,c36),f12(c39,f7(c33,c34))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f601,plain,
( ~ p8(f12(c39,c36),f12(c39,f7(c33,c34)))
| spl0_1 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f603,definition,
( spl0_2
<=> p4(c37,c35) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f605,plain,
( p4(c37,c35)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f606,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f596,f603,f599]) ).
fof(f608,plain,
( ~ p11(c39,c39)
| p3(c36,f7(c33,c34))
| spl0_1 ),
inference(resolution,[],[f601,f91]) ).
fof(f611,definition,
( spl0_3
<=> p3(c36,f7(c33,c34)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f613,plain,
( p3(c36,f7(c33,c34))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f615,definition,
( spl0_4
<=> p11(c39,c39) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f617,plain,
( ~ p11(c39,c39)
| spl0_4 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f618,plain,
( spl0_3
| ~ spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f608,f599,f615,f611]) ).
fof(f619,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f617,f1]) ).
fof(f622,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f623,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f613,f66]) ).
fof(f626,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f627,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f605,f256]) ).
fof(f628,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f627]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f606]) ).
cnf(s2,plain,
( spl0_1
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f618]) ).
cnf(s3,plain,
spl0_4,
inference(sat_conversion,[],[f622]) ).
cnf(s4,plain,
~ spl0_3,
inference(sat_conversion,[],[f626]) ).
cnf(s5,plain,
~ spl0_2,
inference(sat_conversion,[],[f628]) ).
cnf(s6,plain,
spl0_1,
inference(rat,[],[s2,s3,s4]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s5,s6]) ).
fof(f629,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN686-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.25 % Computer : n009.cluster.edu
% 0.12/0.25 % Model : x86_64 x86_64
% 0.12/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25 % Memory : 8046.5625MB
% 0.12/0.25 % OS : Linux 6.8.0-71-generic
% 0.12/0.25 % CPULimit : 300
% 0.12/0.26 % WCLimit : 300
% 0.12/0.26 % DateTime : Mon Sep 28 16:46:00 UTC 2026
% 0.12/0.26 % CPUTime :
% 0.12/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.29 Running first-order model finding
% 0.12/0.29 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
% 0.25/0.35 % (3208988)Will run a generic schedule for satisfiability detection.
% 0.25/0.35 % (3208995)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2975889107_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.35 % (3208996)% WARNING: option uhcvi not known.
% 0.25/0.35 % TRYING [1]
% 0.25/0.35 % TRYING [2]
% 0.25/0.35 % TRYING [3]
% 0.25/0.35 % (3208999)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1681441623:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.35 % (3208997)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1315679310:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.25/0.35 % (3208996)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1379246552:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.35 % (3208998)dis+10_1_sil=32000:sp=arity:random_seed=2232498874:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.25/0.35 % (3209000)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=68851569:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.25/0.35 % (3209001)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2056595081:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.35 % TRYING [4]
% 0.25/0.35 % (3209001) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3208988-3209001"...
% 0.25/0.35 % (3209001)...printing done.
% 0.25/0.35 % (3209001)Refutation found. Thanks to Tanya!
% 0.25/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.35 % (3209001)------------------------------
% 0.25/0.35 % (3209001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.35 % (3209001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.35 % (3209001)CaDiCaL version: 2.1.3
% 0.25/0.35 % (3209001)Termination reason: Refutation
% 0.25/0.35 % (3209001)Time elapsed: 0.011 s
% 0.25/0.35 % (3209001)Peak memory usage: 12 MB
% 0.25/0.35 % (3209001)Instructions burned: 17 (million)
% 0.25/0.35 % (3208988)Success in time 0.048 s
% 0.25/0.35 % Vampire exiting
%------------------------------------------------------------------------------