%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO025-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 09:53:18 AM UTC 2026
% Result : Unsatisfiable 7.99s 1.70s
% Output : Refutation 9.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 87 ( 35 unt; 7 def)
% Number of atoms : 196 ( 20 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 192 ( 83 ~; 102 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-5 aty)
% Number of variables : 105 ( 0 sgn 105 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X1,X6,X3,X7)
| ~ between(X0,X1,X4)
| ~ between(X2,X3,X5)
| X0 = X1
| equidistant(X4,X6,X5,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
fof(f19,axiom,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
fof(f20,axiom,
equidistant(v,w,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
fof(f21,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f22,axiom,
between(u1,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).
fof(f23,negated_conjecture,
~ equidistant(u,w,u1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equal_sums) ).
fof(f24,plain,
! [X2,X3,X0,X1] : ~ between(X0,X1,extension(X0,X1,X2,X3)),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f25,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X1,X6,X3,X7)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X0,X1,X2,X3)
| between(X0,X1,X4)
| between(X2,X3,X5)
| X0 = X1
| equidistant(X4,X6,X5,X7) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f26,plain,
! [X0,X1] :
( between(X0,X1,X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f27,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| between(X3,X4,X2)
| between(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f28,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| between(X3,X4,X2)
| between(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f38,plain,
~ between(u,v,w),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f39,plain,
~ between(u1,v1,w1),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f41,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f45,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X4,X5,X2,X3) ),
inference(resolution,[],[f2,f5]) ).
fof(f47,plain,
! [X0,X1] : ~ between(X1,X0,X0),
inference(superposition,[],[f24,f41]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( between(X0,X1,X2)
| between(X3,X0,X2)
| inner_pasch(X3,X0,X2,X1,X0) = X0 ),
inference(resolution,[],[f27,f26]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X2,w,X3,w1)
| ~ equidistant(v,X0,v1,X1)
| ~ equidistant(X2,v,X3,v1)
| between(X2,v,X0)
| between(X3,v1,X1)
| v = X2
| equidistant(X0,w,X1,w1) ),
inference(resolution,[],[f25,f20]) ).
fof(f87,plain,
equidistant(u1,v1,v,u),
inference(resolution,[],[f44,f19]) ).
fof(f88,plain,
equidistant(v1,w1,w,v),
inference(resolution,[],[f44,f20]) ).
fof(f92,plain,
! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X2,X3),
inference(resolution,[],[f45,f1]) ).
fof(f95,plain,
! [X2,X0,X1] :
( between(X2,X0,X1)
| inner_pasch(X2,X0,X1,X1,X0) = X0 ),
inference(resolution,[],[f51,f47]) ).
fof(f147,plain,
equidistant(v,u,v1,u1),
inference(resolution,[],[f87,f44]) ).
fof(f174,definition,
( spl0_4
<=> v = w ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f176,plain,
( v = w
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f178,definition,
( spl0_5
<=> equidistant(w,v,w1,v1) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f179,plain,
( equidistant(w,v,w1,v1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f182,definition,
( spl0_6
<=> ! [X0,X1] :
( ~ equidistant(v,X0,v1,X1)
| equidistant(X0,w,X1,w1)
| between(w1,v1,X1)
| between(w,v,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f183,plain,
( ! [X0,X1] :
( ~ equidistant(v,X0,v1,X1)
| equidistant(X0,w,X1,w1)
| between(w1,v1,X1)
| between(w,v,X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f260,definition,
( spl0_22
<=> v1 = w1 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f261,plain,
( v1 != w1
| spl0_22 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( v1 = w1
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(extension(X2,w,X3,w1),v,X3,v1)
| ~ equidistant(v,X0,v1,X1)
| between(extension(X2,w,X3,w1),v,X0)
| between(X3,v1,X1)
| v = extension(X2,w,X3,w1)
| equidistant(X0,w,X1,w1) ),
inference(resolution,[],[f92,f67]) ).
fof(f595,plain,
equidistant(w,v,w1,v1),
inference(resolution,[],[f88,f44]) ).
fof(f598,plain,
spl0_5,
inference(avatar_split_clause,[],[f595,f178]) ).
fof(f618,plain,
( equidistant(v1,w1,v,v)
| ~ spl0_4 ),
inference(superposition,[],[f88,f176]) ).
fof(f624,plain,
( ~ equidistant(u,w,u1,v1)
| ~ spl0_22 ),
inference(superposition,[],[f23,f262]) ).
fof(f641,plain,
( ~ equidistant(u,v,u1,v1)
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f624,f176]) ).
fof(f648,plain,
( $false
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f641,f19]) ).
fof(f649,plain,
( ~ spl0_4
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f946,definition,
( spl0_66
<=> equidistant(v,u,v1,u1) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f948,plain,
( equidistant(v,u,v1,u1)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f1217,plain,
spl0_66,
inference(avatar_split_clause,[],[f147,f946]) ).
fof(f2683,plain,
v = inner_pasch(u,v,w,w,v),
inference(resolution,[],[f95,f38]) ).
fof(f2692,plain,
v1 = inner_pasch(u1,v1,w1,w1,v1),
inference(resolution,[],[f95,f39]) ).
fof(f3056,plain,
( equidistant(u,w,u1,w1)
| between(w1,v1,u1)
| between(w,v,u)
| ~ spl0_6
| ~ spl0_66 ),
inference(resolution,[],[f183,f948]) ).
fof(f3070,plain,
( between(w1,v1,u1)
| between(w,v,u)
| ~ spl0_6
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f3056,f23]) ).
fof(f3072,definition,
( spl0_167
<=> between(w,v,u) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f3076,definition,
( spl0_168
<=> between(w1,v1,u1) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f3079,plain,
( spl0_167
| spl0_168
| ~ spl0_6
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f3070,f946,f182,f3076,f3072]) ).
fof(f8815,plain,
! [X2,X1] :
( ~ equidistant(w,v,w1,v1)
| ~ equidistant(v,X1,v1,X2)
| between(w,v,X1)
| between(w1,v1,X2)
| v = w
| equidistant(X1,w,X2,w1) ),
inference(superposition,[],[f374,f41]) ).
fof(f19265,plain,
( ~ between(w,v,u)
| between(v,w,w)
| between(u,v,w) ),
inference(superposition,[],[f28,f2683]) ).
fof(f19313,plain,
( ~ between(w,v,u)
| between(u,v,w) ),
inference(forward_subsumption_resolution,[],[f19265,f47]) ).
fof(f19320,plain,
~ between(w,v,u),
inference(forward_subsumption_resolution,[],[f19313,f38]) ).
fof(f19321,plain,
~ spl0_167,
inference(avatar_split_clause,[],[f19320,f3072]) ).
fof(f19722,plain,
( ~ between(w1,v1,u1)
| between(v1,w1,w1)
| between(u1,v1,w1) ),
inference(superposition,[],[f28,f2692]) ).
fof(f19781,plain,
( ~ between(w1,v1,u1)
| between(u1,v1,w1) ),
inference(forward_subsumption_resolution,[],[f19722,f47]) ).
fof(f20034,plain,
( ! [X2,X1] :
( ~ equidistant(v,X1,v1,X2)
| between(w,v,X1)
| between(w1,v1,X2)
| v = w
| equidistant(X1,w,X2,w1) )
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f8815,f179]) ).
fof(f20147,plain,
~ between(w1,v1,u1),
inference(forward_subsumption_resolution,[],[f19781,f39]) ).
fof(f20152,plain,
( spl0_4
| spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f20034,f178,f182,f174]) ).
fof(f20153,plain,
~ spl0_168,
inference(avatar_split_clause,[],[f20147,f3076]) ).
fof(f31338,plain,
( v1 = w1
| ~ spl0_4 ),
inference(resolution,[],[f618,f3]) ).
fof(f31357,plain,
( $false
| ~ spl0_4
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f31338,f261]) ).
fof(f31358,plain,
( ~ spl0_4
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f31357]) ).
cnf(s22,plain,
spl0_5,
inference(sat_conversion,[],[f598]) ).
cnf(s28,plain,
( ~ spl0_4
| ~ spl0_22 ),
inference(sat_conversion,[],[f649]) ).
cnf(s48,plain,
spl0_66,
inference(sat_conversion,[],[f1217]) ).
cnf(s176,plain,
( ~ spl0_6
| ~ spl0_66
| spl0_167
| spl0_168 ),
inference(sat_conversion,[],[f3079]) ).
cnf(s799,plain,
~ spl0_167,
inference(sat_conversion,[],[f19321]) ).
cnf(s912,plain,
( spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f20152]) ).
cnf(s913,plain,
~ spl0_168,
inference(sat_conversion,[],[f20153]) ).
cnf(s1937,plain,
( ~ spl0_4
| spl0_22 ),
inference(sat_conversion,[],[f31358]) ).
cnf(s1968,plain,
( ~ spl0_6
| ~ spl0_66 ),
inference(rat,[],[s176,s913,s799]) ).
cnf(s1970,plain,
~ spl0_6,
inference(rat,[],[s1968,s48]) ).
cnf(s1972,plain,
spl0_4,
inference(rat,[],[s912,s1970,s22]) ).
cnf(s1974,plain,
spl0_22,
inference(rat,[],[s1937,s1972]) ).
cnf(s1986,plain,
$false,
inference(rat,[],[s28,s1974,s1972]) ).
fof(f31372,plain,
$false,
inference(avatar_sat_refutation,[],[s1986]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO025-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n005.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 06:37:00 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.99/1.69 % (3630418)Will run a generic schedule for satisfiability detection.
% 7.99/1.69 % (3630423)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=594816646_2999 on theBenchmark for (2999ds/0Mi)
% 7.99/1.69 % TRYING [1]
% 7.99/1.69 % TRYING [2]
% 7.99/1.69 % TRYING [3]
% 7.99/1.69 % (3630429)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=480093419:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.99/1.69 % (3630425)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3606132857:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.99/1.69 % (3630426)dis+10_1_sil=32000:sp=arity:random_seed=746760703:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.99/1.69 % (3630427)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=58005886:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.99/1.69 % (3630428)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1687543795:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.99/1.69 % (3630424)% WARNING: option uhcvi not known.
% 7.99/1.69 % (3630424)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2508834210:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.99/1.69 % TRYING [4]
% 7.99/1.69 % (3630427)Instruction limit reached!
% 7.99/1.69 % (3630427)------------------------------
% 7.99/1.69 % (3630427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3630427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3630427)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3630427)Termination reason: Instruction limit
% 7.99/1.69 % (3630427)Termination phase: Saturation
% 7.99/1.69 % (3630427)Time elapsed: 0.063 s
% 7.99/1.69 % (3630427)Peak memory usage: 12 MB
% 7.99/1.69 % (3630427)Instructions burned: 118 (million)
% 7.99/1.69 % (3630426)Instruction limit reached!
% 7.99/1.69 % (3630426)------------------------------
% 7.99/1.69 % (3630426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3630426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3630426)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3630426)Termination reason: Instruction limit
% 7.99/1.69 % (3630426)Termination phase: Saturation
% 7.99/1.69 % (3630426)Time elapsed: 0.070 s
% 7.99/1.69 % (3630426)Peak memory usage: 12 MB
% 7.99/1.69 % (3630426)Instructions burned: 103 (million)
% 7.99/1.69 % (3630437)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2574870299:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.99/1.69 % TRYING [1]
% 7.99/1.69 % TRYING [2]
% 7.99/1.69 % TRYING [3]
% 7.99/1.69 % (3630428)Instruction limit reached!
% 7.99/1.69 % (3630428)------------------------------
% 7.99/1.69 % (3630428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3630428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3630428)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3630428)Termination reason: Instruction limit
% 7.99/1.69 % (3630428)Termination phase: Saturation
% 7.99/1.69 % (3630428)Time elapsed: 0.089 s
% 7.99/1.69 % (3630428)Peak memory usage: 13 MB
% 7.99/1.69 % (3630428)Instructions burned: 132 (million)
% 7.99/1.69 % (3630438)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1984658653:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.99/1.69 % (3630429)Instruction limit reached!
% 7.99/1.69 % (3630429)------------------------------
% 7.99/1.69 % (3630429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3630429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3630429)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3630429)Termination reason: Instruction limit
% 7.99/1.69 % (3630429)Termination phase: Saturation
% 7.99/1.69 % (3630429)Time elapsed: 0.109 s
% 7.99/1.69 % (3630429)Peak memory usage: 12 MB
% 7.99/1.69 % (3630429)Instructions burned: 160 (million)
% 7.99/1.69 % (3630441)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2209872830:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.99/1.69 % (3630443)ott-21_1_sil=16000:fs=off:random_seed=2491313593:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.99/1.69 % TRYING [4]
% 7.99/1.69 % TRYING [5]
% 7.99/1.69 % (3630438)Instruction limit reached!
% 7.99/1.69 % (3630438)------------------------------
% 7.99/1.69 % (3630438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3630438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3630438)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3630438)Termination reason: Instruction limit
% 7.99/1.69 % (3630438)Termination phase: Saturation
% 7.99/1.69 % (3630438)Time elapsed: 0.086 s
% 7.99/1.69 % (3630438)Peak memory usage: 12 MB
% 7.99/1.69 % (3630438)Instructions burned: 132 (million)
% 7.99/1.69 % (3630445)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2195961337:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.99/1.69 % (3630443)Instruction limit reached!
% 7.99/1.69 % (3630443)------------------------------
% 7.99/1.69 % (3630443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3630443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3630443)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3630443)Termination reason: Instruction limit
% 7.99/1.69 % (3630443)Termination phase: Saturation
% 7.99/1.69 % (3630443)Time elapsed: 0.101 s
% 7.99/1.69 % (3630443)Peak memory usage: 12 MB
% 7.99/1.69 % (3630443)Instructions burned: 181 (million)
% 7.99/1.69 % (3630447)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4168913793:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.99/1.69 % TRYING [1]
% 7.99/1.69 % TRYING [2]
% 7.99/1.69 % TRYING [3]
% 7.99/1.69 % TRYING [4]
% 7.99/1.69 % (3630437)Instruction limit reached!
% 7.99/1.69 % (3630437)------------------------------
% 7.99/1.69 % (3630437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3630437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3630437)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3630437)Termination reason: Instruction limit
% 7.99/1.69 % (3630437)Termination phase: Finite model building constraint generation
% 7.99/1.69 % (3630437)Time elapsed: 0.289 s
% 7.99/1.69 % (3630437)Peak memory usage: 44 MB
% 7.99/1.69 % (3630437)Instructions burned: 715 (million)
% 7.99/1.69 % (3630449)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3996790433:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 7.99/1.69 % (3630445)Instruction limit reached!
% 7.99/1.69 % (3630445)------------------------------
% 7.99/1.69 % (3630445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3630445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3630445)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3630445)Termination reason: Instruction limit
% 7.99/1.69 % (3630445)Termination phase: Saturation
% 7.99/1.69 % (3630445)Time elapsed: 0.304 s
% 7.99/1.69 % (3630445)Peak memory usage: 14 MB
% 7.99/1.69 % (3630445)Instructions burned: 478 (million)
% 7.99/1.69 % (3630441)Instruction limit reached!
% 7.99/1.69 % (3630441)------------------------------
% 7.99/1.69 % (3630441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3630441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3630441)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3630441)Termination reason: Instruction limit
% 7.99/1.69 % (3630441)Termination phase: Saturation
% 7.99/1.69 % (3630441)Time elapsed: 0.409 s
% 7.99/1.69 % (3630441)Peak memory usage: 17 MB
% 7.99/1.69 % (3630441)Instructions burned: 684 (million)
% 7.99/1.69 % (3630451)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=953668312:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 7.99/1.69 % (3630452)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2896799441:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.99/1.69 % (3630447)Instruction limit reached!
% 7.99/1.69 % (3630447)------------------------------
% 7.99/1.69 % (3630447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3630447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3630447)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3630447)Termination reason: Instruction limit
% 7.99/1.69 % (3630447)Termination phase: Finite model building SAT solving
% 7.99/1.69 % (3630447)Time elapsed: 0.370 s
% 7.99/1.69 % (3630447)Peak memory usage: 37 MB
% 7.99/1.69 % (3630447)Instructions burned: 865 (million)
% 7.99/1.69 % (3630455)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=46050005:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 7.99/1.69 % TRYING [6]
% 7.99/1.69 % (3630451)Instruction limit reached!
% 7.99/1.69 % (3630451)------------------------------
% 7.99/1.70 % (3630451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.70 % (3630451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.70 % (3630451)CaDiCaL version: 2.1.3
% 7.99/1.70 % (3630451)Termination reason: Instruction limit
% 7.99/1.70 % (3630451)Termination phase: Finite model building constraint generation
% 7.99/1.70 % (3630451)Time elapsed: 0.410 s
% 7.99/1.70 % (3630451)Peak memory usage: 108 MB
% 7.99/1.70 % (3630451)Instructions burned: 891 (million)
% 7.99/1.70 % (3630457)fmb+10_1_sil=64000:random_seed=3232792923:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 7.99/1.70 % TRYING [1]
% 7.99/1.70 % TRYING [2]
% 7.99/1.70 % TRYING [3]
% 7.99/1.70 % (3630452)Instruction limit reached!
% 7.99/1.70 % (3630452)------------------------------
% 7.99/1.70 % (3630452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.70 % (3630452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.70 % (3630452)CaDiCaL version: 2.1.3
% 7.99/1.70 % (3630452)Termination reason: Instruction limit
% 7.99/1.70 % (3630452)Termination phase: Saturation
% 7.99/1.70 % (3630452)Time elapsed: 0.445 s
% 7.99/1.70 % (3630452)Peak memory usage: 18 MB
% 7.99/1.70 % (3630452)Instructions burned: 692 (million)
% 7.99/1.70 % (3630459)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4141140289:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 7.99/1.70 % (3630459)Cannot represent all propositional literals internally
% 7.99/1.70 % (3630459)Refutation not found, incomplete strategy
% 7.99/1.70 % (3630459)------------------------------
% 7.99/1.70 % (3630459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.70 % (3630459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.70 % (3630459)CaDiCaL version: 2.1.3
% 7.99/1.70 % (3630459)Termination reason: Refutation not found, incomplete strategy
% 7.99/1.70 % (3630459)Time elapsed: 0.001 s
% 7.99/1.70 % (3630459)Peak memory usage: 10 MB
% 7.99/1.70 % (3630459)Instructions burned: 1 (million)
% 7.99/1.70 % (3630459)------------------------------
% 7.99/1.70 % (3630459)------------------------------
% 7.99/1.70 % (3630461)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3657843096:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 7.99/1.70 % TRYING [8]
% 7.99/1.70 % TRYING [4]
% 7.99/1.70 % (3630449)Instruction limit reached!
% 7.99/1.70 % (3630449)------------------------------
% 7.99/1.70 % (3630449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.70 % (3630449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.70 % (3630449)CaDiCaL version: 2.1.3
% 7.99/1.70 % (3630449)Termination reason: Instruction limit
% 7.99/1.70 % (3630449)Termination phase: Saturation
% 7.99/1.70 % (3630449)Time elapsed: 0.717 s
% 7.99/1.70 % (3630449)Peak memory usage: 22 MB
% 7.99/1.70 % (3630449)Instructions burned: 1179 (million)
% 7.99/1.70 % (3630455)Instruction limit reached!
% 7.99/1.70 % (3630455)------------------------------
% 7.99/1.70 % (3630455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.70 % (3630455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.70 % (3630455)CaDiCaL version: 2.1.3
% 7.99/1.70 % (3630455)Termination reason: Instruction limit
% 7.99/1.70 % (3630455)Termination phase: Saturation
% 7.99/1.70 % (3630455)Time elapsed: 0.475 s
% 7.99/1.70 % (3630455)Peak memory usage: 17 MB
% 7.99/1.70 % (3630455)Instructions burned: 880 (million)
% 7.99/1.70 % (3630463)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2496647145:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 7.99/1.70 % (3630464)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2304750563:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 7.99/1.70 % (3630424) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3630418-3630424"...
% 7.99/1.70 % (3630424)...printing done.
% 7.99/1.70 % (3630424)Refutation found. Thanks to Tanya!
% 7.99/1.70 % SZS status Unsatisfiable for theBenchmark
% 7.99/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 9.08/1.70 % (3630424)------------------------------
% 9.08/1.70 % (3630424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/1.70 % (3630424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/1.70 % (3630424)CaDiCaL version: 2.1.3
% 9.08/1.70 % (3630424)Termination reason: Refutation
% 9.08/1.70 % (3630424)Time elapsed: 1.221 s
% 9.08/1.70 % (3630424)Peak memory usage: 27 MB
% 9.08/1.70 % (3630424)Instructions burned: 2093 (million)
% 9.08/1.70 % (3630418)Success in time 1.28 s
% 9.08/1.70 % Vampire exiting
%------------------------------------------------------------------------------