%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN629-1 : 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 : n012.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 02:17:46 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.20s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 60 ( 20 unt; 7 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 109 ( 52 ~; 50 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
fof(f6,negated_conjecture,
p9(c28,c26),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_6) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( p9(f16(X0),f16(X1))
| ~ p9(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_13) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( p20(X0,X1)
| ~ p9(X2,X0)
| ~ p9(X3,X1)
| ~ p20(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_26) ).
fof(f29,negated_conjecture,
! [X2,X3,X0,X1] :
( p9(f17(X0,X1),f17(X2,X3))
| ~ p9(X0,X2)
| ~ p9(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_29) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1] :
( p9(f15(X0,X1),f15(X2,X3))
| ~ p2(X0,X2)
| ~ p9(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_30) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1] :
( p9(f10(X0,X1),f10(X2,X3))
| ~ p9(X0,X2)
| ~ p9(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_31) ).
fof(f34,negated_conjecture,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_34) ).
fof(f35,negated_conjecture,
~ p20(f16(f17(c26,c27)),f10(f15(f7(c23,f8(c24,c25)),c26),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p20_35) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( p20(X2,X3)
| ~ p9(X2,X0)
| ~ p9(X3,X1)
| ~ p20(X0,X1) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f47,plain,
~ p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f48,plain,
p20(f16(f17(c26,c27)),f10(f15(f7(c23,f8(c24,c25)),c26),f11(f12(f13(f14(c29)))))),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f129,plain,
! [X0,X1] :
( ~ p20(X0,X1)
| ~ p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),X1)
| ~ p9(f16(f17(c28,c27)),X0) ),
inference(resolution,[],[f47,f45]) ).
fof(f461,plain,
( ~ p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),f10(f15(f7(c23,f8(c24,c25)),c26),f11(f12(f13(f14(c29))))))
| ~ p9(f16(f17(c28,c27)),f16(f17(c26,c27))) ),
inference(resolution,[],[f129,f48]) ).
fof(f463,definition,
( spl0_15
<=> p9(f16(f17(c28,c27)),f16(f17(c26,c27))) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f465,plain,
( ~ p9(f16(f17(c28,c27)),f16(f17(c26,c27)))
| spl0_15 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f467,definition,
( spl0_16
<=> p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),f10(f15(f7(c23,f8(c24,c25)),c26),f11(f12(f13(f14(c29)))))) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f469,plain,
( ~ p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),f10(f15(f7(c23,f8(c24,c25)),c26),f11(f12(f13(f14(c29))))))
| spl0_16 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f470,plain,
( ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f461,f467,f463]) ).
fof(f471,plain,
( ~ p9(f17(c28,c27),f17(c26,c27))
| spl0_15 ),
inference(resolution,[],[f465,f13]) ).
fof(f473,plain,
( ~ p9(c28,c26)
| ~ p9(c27,c27)
| spl0_15 ),
inference(resolution,[],[f471,f29]) ).
fof(f476,definition,
( spl0_17
<=> p9(c27,c27) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f478,plain,
( ~ p9(c27,c27)
| spl0_17 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f480,definition,
( spl0_18
<=> p9(c28,c26) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f482,plain,
( ~ p9(c28,c26)
| spl0_18 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_15 ),
inference(avatar_split_clause,[],[f473,f463,f480,f476]) ).
fof(f484,plain,
( $false
| spl0_17 ),
inference(resolution,[],[f478,f2]) ).
fof(f487,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f484]) ).
fof(f488,plain,
( $false
| spl0_18 ),
inference(resolution,[],[f482,f6]) ).
fof(f490,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f1160,plain,
( ~ p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c26))
| ~ p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29)))))
| spl0_16 ),
inference(resolution,[],[f469,f31]) ).
fof(f1163,definition,
( spl0_34
<=> p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29))))) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f1165,plain,
( ~ p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29)))))
| spl0_34 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f1167,definition,
( spl0_35
<=> p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c26)) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f1169,plain,
( ~ p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c26))
| spl0_35 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f1170,plain,
( ~ spl0_34
| ~ spl0_35
| spl0_16 ),
inference(avatar_split_clause,[],[f1160,f467,f1167,f1163]) ).
fof(f1225,plain,
( $false
| spl0_34 ),
inference(resolution,[],[f1165,f2]) ).
fof(f1228,plain,
spl0_34,
inference(avatar_contradiction_clause,[],[f1225]) ).
fof(f1996,plain,
( ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25)))
| ~ p9(c28,c26)
| spl0_35 ),
inference(resolution,[],[f1169,f30]) ).
fof(f1999,definition,
( spl0_44
<=> p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25))) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f2001,plain,
( ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25)))
| spl0_44 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f2002,plain,
( ~ spl0_18
| ~ spl0_44
| spl0_35 ),
inference(avatar_split_clause,[],[f1996,f1167,f1999,f480]) ).
fof(f2012,plain,
( $false
| spl0_44 ),
inference(resolution,[],[f2001,f1]) ).
fof(f2015,plain,
spl0_44,
inference(avatar_contradiction_clause,[],[f2012]) ).
cnf(s10,plain,
( ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f470]) ).
cnf(s11,plain,
( spl0_15
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f483]) ).
cnf(s12,plain,
spl0_17,
inference(sat_conversion,[],[f487]) ).
cnf(s13,plain,
spl0_18,
inference(sat_conversion,[],[f490]) ).
cnf(s24,plain,
( spl0_16
| ~ spl0_34
| ~ spl0_35 ),
inference(sat_conversion,[],[f1170]) ).
cnf(s25,plain,
spl0_34,
inference(sat_conversion,[],[f1228]) ).
cnf(s30,plain,
( ~ spl0_18
| spl0_35
| ~ spl0_44 ),
inference(sat_conversion,[],[f2002]) ).
cnf(s31,plain,
spl0_44,
inference(sat_conversion,[],[f2015]) ).
cnf(s33,plain,
( ~ spl0_18
| spl0_35 ),
inference(rat,[],[s30,s31]) ).
cnf(s34,plain,
( spl0_16
| ~ spl0_35 ),
inference(rat,[],[s24,s25]) ).
cnf(s35,plain,
spl0_35,
inference(rat,[],[s33,s13]) ).
cnf(s36,plain,
spl0_16,
inference(rat,[],[s34,s35]) ).
cnf(s37,plain,
spl0_15,
inference(rat,[],[s11,s13,s12]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s10,s36,s37]) ).
fof(f2025,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN629-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 16:37:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.13 Running first-order model finding
% 0.08/0.13 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
% 0.08/0.20 % (3501496)Will run a generic schedule for satisfiability detection.
% 0.08/0.20 % (3501502)% WARNING: option uhcvi not known.
% 0.08/0.20 % (3501501)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1059325628_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.20 % (3501502)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3019163870:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.20 % (3501503)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=420503016:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.20 % (3501504)dis+10_1_sil=32000:sp=arity:random_seed=2569205350:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.20 % (3501505)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=250373159:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.20 % (3501506)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1073703556:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.20 % (3501507)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1845248632:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.20 % TRYING [1]
% 0.08/0.20 % TRYING [2]
% 0.08/0.20 % TRYING [3]
% 0.08/0.20 % TRYING [4]
% 0.08/0.20 % (3501504)Instruction limit reached!
% 0.08/0.20 % (3501504)------------------------------
% 0.08/0.20 % (3501504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.20 % (3501504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.20 % (3501504)CaDiCaL version: 2.1.3
% 0.08/0.20 % (3501504)Termination reason: Instruction limit
% 0.08/0.20 % (3501504)Termination phase: Saturation
% 0.08/0.20 % (3501504)Time elapsed: 0.028 s
% 0.08/0.20 % (3501504)Peak memory usage: 12 MB
% 0.08/0.20 % (3501504)Instructions burned: 103 (million)
% 0.08/0.20 % (3501505)Instruction limit reached!
% 0.08/0.20 % (3501505)------------------------------
% 0.08/0.20 % (3501505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.20 % (3501505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.20 % (3501505)CaDiCaL version: 2.1.3
% 0.08/0.20 % (3501505)Termination reason: Instruction limit
% 0.08/0.20 % (3501505)Termination phase: Saturation
% 0.08/0.20 % (3501505)Time elapsed: 0.031 s
% 0.08/0.20 % (3501505)Peak memory usage: 12 MB
% 0.08/0.20 % (3501505)Instructions burned: 116 (million)
% 0.08/0.20 % (3501507) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3501496-3501507"...
% 0.08/0.20 % (3501515)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=63264123:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.08/0.20 % (3501507)...printing done.
% 0.08/0.20 % (3501507)Refutation found. Thanks to Tanya!
% 0.08/0.20 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.20 % (3501507)------------------------------
% 0.08/0.20 % (3501507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.20 % (3501507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.20 % (3501507)CaDiCaL version: 2.1.3
% 0.08/0.20 % (3501507)Termination reason: Refutation
% 0.08/0.20 % (3501507)Time elapsed: 0.039 s
% 0.08/0.20 % (3501507)Peak memory usage: 13 MB
% 0.08/0.20 % (3501507)Instructions burned: 123 (million)
% 0.08/0.20 % (3501496)Success in time 0.064 s
% 0.08/0.20 % Vampire exiting
%------------------------------------------------------------------------------