%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD026-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 09:49:36 AM UTC 2026
% Result : Unsatisfiable 8.23s 2.73s
% Output : Refutation 8.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 100 ( 19 unt; 4 def)
% Number of atoms : 261 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 263 ( 102 ~; 157 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 101 ( 0 sgn 101 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X2)
| ~ product(X3,X4,X0)
| ~ product(X4,X1,X5)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X3,X4,X5)
| sum(X0,X1,X2)
| ~ product(X5,X6,X2)
| ~ product(X3,X6,X0)
| ~ product(X4,X6,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X5,X6,X2)
| ~ sum(X3,X4,X0)
| ~ product(X3,X1,X5)
| ~ product(X4,X1,X6)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',distributivity_2) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
fof(f18,axiom,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| sum(additive_identity,X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
fof(f30,negated_conjecture,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4) ).
fof(f31,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_5) ).
fof(f32,plain,
! [X0] :
( sum(additive_identity,X0,X0)
| defined(X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f33,plain,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| defined(X0) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f34,plain,
! [X0] :
( product(multiplicative_identity,X0,X0)
| defined(X0) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f35,plain,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| defined(X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f37,plain,
~ defined(additive_identity),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f38,plain,
! [X0] :
( ~ defined(additive_inverse(X0))
| defined(X0) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f41,plain,
! [X0] :
( ~ defined(multiplicative_inverse(X0))
| defined(X0)
| sum(additive_identity,X0,additive_identity) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f49,plain,
~ defined(a),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f50,plain,
~ defined(b),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f51,plain,
! [X0] :
( sum(X0,additive_identity,X0)
| defined(X0) ),
inference(resolution,[],[f5,f32]) ).
fof(f53,plain,
product(a,multiplicative_identity,b),
inference(resolution,[],[f10,f30]) ).
fof(f54,plain,
! [X0] :
( product(X0,multiplicative_identity,X0)
| defined(X0) ),
inference(resolution,[],[f10,f34]) ).
fof(f92,plain,
! [X0] :
( product(X0,multiplicative_inverse(X0),multiplicative_identity)
| defined(X0)
| sum(additive_identity,X0,additive_identity) ),
inference(resolution,[],[f35,f10]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X1,X2,X3)
| sum(X0,X3,X2)
| defined(X2) ),
inference(resolution,[],[f1,f32]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,X3,multiplicative_identity)
| ~ product(X0,X1,X2)
| product(X2,X3,X0)
| defined(X0) ),
inference(resolution,[],[f7,f54]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ product(multiplicative_inverse(X0),X1,X2)
| ~ product(X1,X3,X0)
| product(X2,X3,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| defined(X0) ),
inference(resolution,[],[f7,f35]) ).
fof(f157,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(additive_identity,X4,X0)
| ~ product(X3,X4,X2)
| sum(X0,X1,X2)
| ~ product(X3,X4,X1)
| defined(X3) ),
inference(resolution,[],[f11,f32]) ).
fof(f164,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X3,additive_inverse(X4))
| ~ sum(X0,X1,X2)
| ~ product(X1,X3,X4)
| product(X2,X3,additive_identity)
| defined(X4) ),
inference(resolution,[],[f12,f33]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_inverse(X0),X2,X1)
| defined(X1)
| defined(X0) ),
inference(resolution,[],[f116,f33]) ).
fof(f233,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_identity,X1,X0)
| defined(X0)
| defined(additive_identity) ),
inference(resolution,[],[f116,f51]) ).
fof(f236,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_identity,X1,X0)
| defined(X0) ),
inference(forward_subsumption_resolution,[],[f233,f37]) ).
fof(f433,plain,
! [X2,X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| sum(additive_identity,X2,X1)
| ~ product(X0,multiplicative_identity,X2)
| defined(X0)
| defined(additive_identity) ),
inference(resolution,[],[f157,f54]) ).
fof(f435,plain,
! [X2,X0,X1] :
( ~ product(X0,multiplicative_identity,X2)
| sum(additive_identity,X2,X1)
| ~ product(X0,multiplicative_identity,X1)
| defined(X0) ),
inference(forward_subsumption_resolution,[],[f433,f37]) ).
fof(f453,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| product(multiplicative_inverse(X1),X0,multiplicative_identity)
| sum(additive_identity,X1,additive_identity)
| defined(X1)
| defined(multiplicative_inverse(X1)) ),
inference(resolution,[],[f155,f54]) ).
fof(f457,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| product(multiplicative_inverse(X1),X0,multiplicative_identity)
| sum(additive_identity,X1,additive_identity)
| defined(X1) ),
inference(forward_subsumption_resolution,[],[f453,f41]) ).
fof(f467,plain,
! [X2,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| ~ product(X1,multiplicative_identity,X0)
| product(X2,multiplicative_identity,additive_identity)
| defined(X0)
| defined(additive_inverse(X0)) ),
inference(resolution,[],[f164,f54]) ).
fof(f470,plain,
! [X2,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| ~ product(X1,multiplicative_identity,X0)
| product(X2,multiplicative_identity,additive_identity)
| defined(X0) ),
inference(forward_subsumption_resolution,[],[f467,f38]) ).
fof(f1192,plain,
! [X2,X0,X1] :
( product(X2,multiplicative_inverse(X1),X0)
| ~ product(X0,X1,X2)
| defined(X0)
| defined(X1)
| sum(additive_identity,X1,additive_identity) ),
inference(resolution,[],[f152,f92]) ).
fof(f1728,plain,
! [X0,X1] :
( sum(additive_identity,X0,X1)
| ~ product(X0,multiplicative_identity,X1)
| defined(X0)
| defined(X0) ),
inference(resolution,[],[f435,f54]) ).
fof(f1741,plain,
! [X0] :
( sum(additive_identity,b,X0)
| ~ product(a,multiplicative_identity,X0)
| defined(a) ),
inference(resolution,[],[f435,f53]) ).
fof(f1747,plain,
! [X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| sum(additive_identity,X0,X1)
| defined(X0) ),
inference(duplicate_literal_removal,[],[f1728]) ).
fof(f1750,plain,
! [X0] :
( ~ product(a,multiplicative_identity,X0)
| sum(additive_identity,b,X0) ),
inference(forward_subsumption_resolution,[],[f1741,f49]) ).
fof(f1815,definition,
( spl0_46
<=> sum(additive_identity,b,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f1817,plain,
( sum(additive_identity,b,additive_identity)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f1815]) ).
fof(f2105,definition,
( spl0_54
<=> product(multiplicative_inverse(b),a,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f2107,plain,
( product(multiplicative_inverse(b),a,multiplicative_identity)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f2105]) ).
fof(f2133,plain,
( product(multiplicative_inverse(b),a,multiplicative_identity)
| sum(additive_identity,b,additive_identity)
| defined(b) ),
inference(resolution,[],[f457,f30]) ).
fof(f2153,plain,
( product(multiplicative_inverse(b),a,multiplicative_identity)
| sum(additive_identity,b,additive_identity) ),
inference(forward_subsumption_resolution,[],[f2133,f50]) ).
fof(f2168,plain,
( spl0_46
| spl0_54 ),
inference(avatar_split_clause,[],[f2153,f2105,f1815]) ).
fof(f2371,plain,
( sum(additive_inverse(additive_identity),additive_identity,b)
| defined(b)
| defined(additive_identity)
| ~ spl0_46 ),
inference(resolution,[],[f1817,f232]) ).
fof(f2397,plain,
( sum(additive_inverse(additive_identity),additive_identity,b)
| defined(additive_identity)
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2371,f50]) ).
fof(f2409,plain,
( sum(additive_inverse(additive_identity),additive_identity,b)
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2397,f37]) ).
fof(f3255,definition,
( spl0_77
<=> defined(multiplicative_inverse(b)) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f3257,plain,
( defined(multiplicative_inverse(b))
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f3255]) ).
fof(f4062,plain,
( defined(b)
| sum(additive_identity,b,additive_identity)
| ~ spl0_77 ),
inference(resolution,[],[f3257,f41]) ).
fof(f4063,plain,
( sum(additive_identity,b,additive_identity)
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f4062,f50]) ).
fof(f4064,plain,
( spl0_46
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f4063,f3255,f1815]) ).
fof(f6990,plain,
( sum(additive_identity,b,a)
| defined(a) ),
inference(resolution,[],[f1750,f54]) ).
fof(f7003,plain,
sum(additive_identity,b,a),
inference(forward_subsumption_resolution,[],[f6990,f49]) ).
fof(f7262,plain,
( sum(additive_identity,a,b)
| defined(b) ),
inference(resolution,[],[f7003,f236]) ).
fof(f7345,plain,
sum(additive_identity,a,b),
inference(forward_subsumption_resolution,[],[f7262,f50]) ).
fof(f7362,definition,
( spl0_197
<=> sum(additive_identity,a,b) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
fof(f7364,plain,
( sum(additive_identity,a,b)
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f7362]) ).
fof(f7366,plain,
spl0_197,
inference(avatar_split_clause,[],[f7345,f7362]) ).
fof(f7629,plain,
( sum(additive_inverse(additive_identity),b,a)
| defined(a)
| defined(additive_identity)
| ~ spl0_197 ),
inference(resolution,[],[f7364,f232]) ).
fof(f7677,plain,
( sum(additive_inverse(additive_identity),b,a)
| defined(additive_identity)
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f7629,f49]) ).
fof(f7701,plain,
( sum(additive_inverse(additive_identity),b,a)
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f7677,f37]) ).
fof(f16778,plain,
( ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(b,multiplicative_identity,additive_identity)
| defined(additive_identity)
| ~ spl0_46 ),
inference(resolution,[],[f2409,f470]) ).
fof(f16860,plain,
( product(b,multiplicative_identity,additive_identity)
| defined(additive_identity)
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f16778,f54]) ).
fof(f16875,plain,
( product(b,multiplicative_identity,additive_identity)
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f16860,f37]) ).
fof(f62384,plain,
( ~ product(multiplicative_inverse(b),a,multiplicative_identity)
| defined(multiplicative_inverse(b))
| defined(a)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[],[f1192,f31]) ).
fof(f91473,plain,
( ~ product(b,multiplicative_identity,additive_identity)
| product(a,multiplicative_identity,additive_identity)
| defined(additive_identity)
| ~ spl0_197 ),
inference(resolution,[],[f7701,f470]) ).
fof(f91560,plain,
( product(a,multiplicative_identity,additive_identity)
| defined(additive_identity)
| ~ spl0_46
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f91473,f16875]) ).
fof(f91585,plain,
( product(a,multiplicative_identity,additive_identity)
| ~ spl0_46
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f91560,f37]) ).
fof(f91752,plain,
( sum(additive_identity,a,additive_identity)
| defined(a)
| ~ spl0_46
| ~ spl0_197 ),
inference(resolution,[],[f91585,f1747]) ).
fof(f91900,plain,
( defined(a)
| ~ spl0_46
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f91752,f29]) ).
fof(f91944,plain,
( $false
| ~ spl0_46
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f91900,f49]) ).
fof(f91945,plain,
( ~ spl0_46
| ~ spl0_197 ),
inference(avatar_contradiction_clause,[],[f91944]) ).
fof(f92011,plain,
( defined(multiplicative_inverse(b))
| defined(a)
| sum(additive_identity,a,additive_identity)
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f62384,f2107]) ).
fof(f92424,plain,
( defined(multiplicative_inverse(b))
| sum(additive_identity,a,additive_identity)
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f92011,f49]) ).
fof(f93310,plain,
( defined(multiplicative_inverse(b))
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f92424,f29]) ).
fof(f93402,plain,
( spl0_77
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f93310,f2105,f3255]) ).
cnf(s59,plain,
( spl0_46
| spl0_54 ),
inference(sat_conversion,[],[f2168]) ).
cnf(s160,plain,
( spl0_46
| ~ spl0_77 ),
inference(sat_conversion,[],[f4064]) ).
cnf(s281,plain,
spl0_197,
inference(sat_conversion,[],[f7366]) ).
cnf(s4328,plain,
( ~ spl0_46
| ~ spl0_197 ),
inference(sat_conversion,[],[f91945]) ).
cnf(s4606,plain,
( ~ spl0_54
| spl0_77 ),
inference(sat_conversion,[],[f93402]) ).
cnf(s4750,plain,
~ spl0_46,
inference(rat,[],[s4328,s281]) ).
cnf(s4867,plain,
~ spl0_77,
inference(rat,[],[s160,s4750]) ).
cnf(s4868,plain,
~ spl0_54,
inference(rat,[],[s4606,s4867]) ).
cnf(s4876,plain,
$false,
inference(rat,[],[s59,s4868,s4750]) ).
fof(f93449,plain,
$false,
inference(avatar_sat_refutation,[],[s4876]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD026-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n026.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 : Tue Sep 29 00:31:28 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 16.76/2.68 % (246924)Will run a generic schedule for satisfiability detection.
% 16.76/2.68 % (246929)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=748649650_2999 on theBenchmark for (2999ds/0Mi)
% 16.76/2.68 % TRYING [1]
% 16.76/2.68 % TRYING [2]
% 16.76/2.68 % TRYING [3]
% 16.76/2.68 % (246930)% WARNING: option uhcvi not known.
% 16.76/2.68 % TRYING [4]
% 16.76/2.68 % (246930)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1836902381:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.76/2.68 % (246934)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2432071394:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.76/2.68 % (246931)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3398125731:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.76/2.68 % (246932)dis+10_1_sil=32000:sp=arity:random_seed=3737130596:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.76/2.68 % (246933)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3355062584:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.76/2.68 % (246935)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2036675082:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.76/2.68 % TRYING [5]
% 16.76/2.68 % (246933)Instruction limit reached!
% 16.76/2.68 % (246933)------------------------------
% 16.76/2.68 % (246933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.68 % (246933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/2.68 % (246933)CaDiCaL version: 2.1.3
% 16.76/2.68 % (246933)Termination reason: Instruction limit
% 16.76/2.68 % (246933)Termination phase: Saturation
% 16.76/2.68 % (246933)Time elapsed: 0.063 s
% 16.76/2.68 % (246933)Peak memory usage: 12 MB
% 16.76/2.68 % (246933)Instructions burned: 117 (million)
% 16.76/2.68 % (246932)Instruction limit reached!
% 16.76/2.68 % (246932)------------------------------
% 16.76/2.68 % (246932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.68 % (246932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/2.68 % (246932)CaDiCaL version: 2.1.3
% 16.76/2.68 % (246932)Termination reason: Instruction limit
% 16.76/2.68 % (246932)Termination phase: Saturation
% 16.76/2.68 % (246932)Time elapsed: 0.066 s
% 16.76/2.68 % (246932)Peak memory usage: 12 MB
% 16.76/2.68 % (246932)Instructions burned: 105 (million)
% 16.76/2.68 % TRYING [6]
% 16.76/2.68 % (246934)Instruction limit reached!
% 16.76/2.68 % (246934)------------------------------
% 16.76/2.68 % (246934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.68 % (246934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/2.68 % (246934)CaDiCaL version: 2.1.3
% 16.76/2.68 % (246934)Termination reason: Instruction limit
% 16.76/2.68 % (246934)Termination phase: Saturation
% 16.76/2.68 % (246934)Time elapsed: 0.076 s
% 16.76/2.68 % (246934)Peak memory usage: 15 MB
% 16.76/2.68 % (246934)Instructions burned: 132 (million)
% 16.76/2.68 % (246943)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1235308451:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.76/2.68 % TRYING [1]
% 16.76/2.68 % TRYING [2]
% 16.76/2.68 % (246944)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=707740149:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.76/2.68 % TRYING [3]
% 16.76/2.68 % TRYING [4]
% 16.76/2.68 % (246945)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=4077992876:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.76/2.68 % (246935)Instruction limit reached!
% 16.76/2.68 % (246935)------------------------------
% 16.76/2.68 % (246935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.68 % (246935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/2.68 % (246935)CaDiCaL version: 2.1.3
% 16.76/2.68 % (246935)Termination reason: Instruction limit
% 16.76/2.68 % (246935)Termination phase: Saturation
% 16.76/2.68 % (246935)Time elapsed: 0.098 s
% 16.76/2.68 % (246935)Peak memory usage: 13 MB
% 16.76/2.68 % (246935)Instructions burned: 161 (million)
% 16.76/2.68 % (246949)ott-21_1_sil=16000:fs=off:random_seed=2566848416:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.76/2.68 % TRYING [5]
% 16.76/2.68 % (246944)Instruction limit reached!
% 16.76/2.68 % (246944)------------------------------
% 16.76/2.68 % (246944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.68 % (246944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.73 % (246944)CaDiCaL version: 2.1.3
% 8.23/2.73 % (246944)Termination reason: Instruction limit
% 8.23/2.73 % (246944)Termination phase: Saturation
% 8.23/2.73 % (246944)Time elapsed: 0.076 s
% 8.23/2.73 % (246944)Peak memory usage: 15 MB
% 8.23/2.73 % (246944)Instructions burned: 133 (million)
% 8.23/2.73 % TRYING [7]
% 8.23/2.73 % (246951)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2829166520:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.23/2.73 % (246949)Instruction limit reached!
% 8.23/2.73 % (246949)------------------------------
% 8.23/2.73 % (246949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/2.73 % (246949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.73 % (246949)CaDiCaL version: 2.1.3
% 8.23/2.73 % (246949)Termination reason: Instruction limit
% 8.23/2.73 % (246949)Termination phase: Saturation
% 8.23/2.73 % (246949)Time elapsed: 0.094 s
% 8.23/2.73 % (246949)Peak memory usage: 12 MB
% 8.23/2.73 % (246949)Instructions burned: 181 (million)
% 8.23/2.73 % TRYING [6]
% 8.23/2.73 % (246953)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4108510211:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.23/2.73 % TRYING [1]
% 8.23/2.73 % TRYING [2]
% 8.23/2.73 % TRYING [3]
% 8.23/2.73 % TRYING [4]
% 8.23/2.73 % TRYING [5]
% 8.23/2.73 % TRYING [6]
% 8.23/2.73 % TRYING [8]
% 8.23/2.73 % (246943)Instruction limit reached!
% 8.23/2.73 % (246943)------------------------------
% 8.23/2.73 % (246943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/2.73 % (246943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.73 % (246943)CaDiCaL version: 2.1.3
% 8.23/2.73 % (246943)Termination reason: Instruction limit
% 8.23/2.73 % (246943)Termination phase: Finite model building constraint generation
% 8.23/2.73 % (246943)Time elapsed: 0.355 s
% 8.23/2.73 % (246943)Peak memory usage: 31 MB
% 8.23/2.73 % (246943)Instructions burned: 714 (million)
% 8.23/2.73 % (246955)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1617115440:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 8.23/2.73 % (246951)Instruction limit reached!
% 8.23/2.73 % (246951)------------------------------
% 8.23/2.73 % (246951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/2.73 % (246951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.73 % (246951)CaDiCaL version: 2.1.3
% 8.23/2.73 % (246951)Termination reason: Instruction limit
% 8.23/2.73 % (246951)Termination phase: Saturation
% 8.23/2.73 % (246951)Time elapsed: 0.294 s
% 8.23/2.73 % (246951)Peak memory usage: 14 MB
% 8.23/2.73 % (246951)Instructions burned: 477 (million)
% 8.23/2.73 % (246957)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=347416175:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.23/2.73 % (246945)Instruction limit reached!
% 8.23/2.73 % (246945)------------------------------
% 8.23/2.73 % (246945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/2.73 % (246945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.73 % (246945)CaDiCaL version: 2.1.3
% 8.23/2.73 % (246945)Termination reason: Instruction limit
% 8.23/2.73 % (246945)Termination phase: Saturation
% 8.23/2.73 % (246945)Time elapsed: 0.423 s
% 8.23/2.73 % (246945)Peak memory usage: 18 MB
% 8.23/2.73 % (246945)Instructions burned: 686 (million)
% 8.23/2.73 % (246959)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=4020089153: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)
% 8.23/2.73 % TRYING [7]
% 8.23/2.73 % (246953)Instruction limit reached!
% 8.23/2.73 % (246953)------------------------------
% 8.23/2.73 % (246953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/2.73 % (246953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.73 % (246953)CaDiCaL version: 2.1.3
% 8.23/2.73 % (246953)Termination reason: Instruction limit
% 8.23/2.73 % (246953)Termination phase: Finite model building constraint generation
% 8.23/2.73 % (246953)Time elapsed: 0.347 s
% 8.23/2.73 % (246953)Peak memory usage: 25 MB
% 8.23/2.73 % (246953)Instructions burned: 867 (million)
% 8.23/2.73 % (246961)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3544265235:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 8.23/2.73 % TRYING [14]
% 8.23/2.73 % (246957)Instruction limit reached!
% 8.23/2.73 % (246957)------------------------------
% 8.23/2.73 % (246957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/2.73 % (246957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.73 % (246957)CaDiCaL version: 2.1.3
% 8.23/2.73 % (246957)Termination reason: Instruction limit
% 8.23/2.73 % (246957)Termination phase: Finite model building constraint generation
% 8.23/2.73 % (246957)Time elapsed: 0.333 s
% 8.23/2.73 % (246957)Peak memory usage: 77 MB
% 8.23/2.73 % (246957)Instructions burned: 889 (million)
% 8.23/2.73 % (246963)fmb+10_1_sil=64000:random_seed=2207049467:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 8.23/2.73 % TRYING [1]
% 8.23/2.73 % TRYING [2]
% 8.23/2.73 % TRYING [3]
% 8.23/2.73 % TRYING [4]
% 8.23/2.73 % TRYING [9]
% 8.23/2.73 % TRYING [5]
% 8.23/2.73 % (246959)Instruction limit reached!
% 8.23/2.73 % (246959)------------------------------
% 8.23/2.73 % (246959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/2.73 % (246959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.73 % (246959)CaDiCaL version: 2.1.3
% 8.23/2.73 % (246959)Termination reason: Instruction limit
% 8.23/2.73 % (246959)Termination phase: Saturation
% 8.23/2.73 % (246959)Time elapsed: 0.419 s
% 8.23/2.73 % (246959)Peak memory usage: 17 MB
% 8.23/2.73 % (246959)Instructions burned: 693 (million)
% 8.23/2.73 % (246965)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3849222581:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.23/2.73 % TRYING [20]
% 8.23/2.73 % TRYING [6]
% 8.23/2.73 % (246961)Instruction limit reached!
% 8.23/2.73 % (246961)------------------------------
% 8.23/2.73 % (246961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/2.73 % (246961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.73 % (246961)CaDiCaL version: 2.1.3
% 8.23/2.73 % (246961)Termination reason: Instruction limit
% 8.23/2.73 % (246961)Termination phase: Saturation
% 8.23/2.73 % (246961)Time elapsed: 0.488 s
% 8.23/2.73 % (246961)Peak memory usage: 16 MB
% 8.23/2.73 % (246961)Instructions burned: 880 (million)
% 8.23/2.73 % (246967)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2393871932:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 8.23/2.73 % TRYING [8]
% 8.23/2.73 % (246955)Instruction limit reached!
% 8.23/2.73 % (246955)------------------------------
% 8.23/2.73 % (246955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/2.73 % (246955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.73 % (246955)CaDiCaL version: 2.1.3
% 8.23/2.73 % (246955)Termination reason: Instruction limit
% 8.23/2.73 % (246955)Termination phase: Saturation
% 8.23/2.73 % (246955)Time elapsed: 0.717 s
% 8.23/2.73 % (246955)Peak memory usage: 22 MB
% 8.23/2.73 % (246955)Instructions burned: 1179 (million)
% 8.23/2.73 % (246969)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=319482308:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 8.23/2.73 % TRYING [7]
% 8.23/2.73 % (246967)Instruction limit reached!
% 8.23/2.73 % (246967)------------------------------
% 8.23/2.73 % (246967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/2.73 % (246967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.73 % (246967)CaDiCaL version: 2.1.3
% 8.23/2.73 % (246967)Termination reason: Instruction limit
% 8.23/2.73 % (246967)Termination phase: Finite model building constraint generation
% 8.23/2.73 % (246967)Time elapsed: 0.355 s
% 8.23/2.73 % (246967)Peak memory usage: 69 MB
% 8.23/2.73 % (246967)Instructions burned: 921 (million)
% 8.23/2.73 % (246971)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2932707047:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 8.23/2.73 % TRYING [8]
% 8.23/2.73 % TRYING [10]
% 8.23/2.73 % (246971)Instruction limit reached!
% 8.23/2.73 % (246971)------------------------------
% 8.23/2.73 % (246971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/2.73 % (246971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.73 % (246971)CaDiCaL version: 2.1.3
% 8.23/2.73 % (246971)Termination reason: Instruction limit
% 8.23/2.73 % (246971)Termination phase: Saturation
% 8.23/2.73 % (246971)Time elapsed: 0.843 s
% 8.23/2.73 % (246971)Peak memory usage: 23 MB
% 8.23/2.73 % (246971)Instructions burned: 1473 (million)
% 8.23/2.73 % (246973)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=60636603:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 8.23/2.73 % TRYING [77]
% 8.23/2.73 % (246930) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-246924-246930"...
% 8.23/2.73 % (246930)...printing done.
% 8.23/2.73 % (246930)Refutation found. Thanks to Tanya!
% 8.23/2.73 % SZS status Unsatisfiable for theBenchmark
% 8.23/2.73 % SZS output start Proof for theBenchmark
% See solution above
% 8.23/2.73 % (246930)------------------------------
% 8.23/2.73 % (246930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/2.73 % (246930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.73 % (246930)CaDiCaL version: 2.1.3
% 8.23/2.73 % (246930)Termination reason: Refutation
% 8.23/2.73 % (246930)Time elapsed: 2.413 s
% 8.23/2.73 % (246930)Peak memory usage: 38 MB
% 8.23/2.73 % (246930)Instructions burned: 3998 (million)
% 8.23/2.73 % (246924)Success in time 2.487 s
% 8.23/2.73 % Vampire exiting
%------------------------------------------------------------------------------