%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD029-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 09:49:05 AM UTC 2026
% Result : Unsatisfiable 4.51s 1.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of formulae : 89 ( 16 unt; 4 def)
% Number of atoms : 212 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 231 ( 108 ~; 119 |; 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 : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 81 ( 0 sgn 81 !; 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/theBenchmark.p',associativity_addition_1) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X1,X5)
| ~ product(X3,X4,X0)
| product(X0,X1,X2)
| ~ product(X3,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X6,X2)
| ~ sum(X3,X4,X5)
| sum(X0,X1,X2)
| ~ product(X3,X6,X0)
| ~ product(X4,X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_1) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,axiom,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
fof(f30,axiom,
defined(v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_is_defined) ).
fof(f31,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_5) ).
fof(f32,negated_conjecture,
product(a,u,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
fof(f33,negated_conjecture,
product(a,v,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_7) ).
fof(f34,negated_conjecture,
~ product(multiplicative_identity,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_8) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ product(X0,b,X2)
| product(X1,v,X2)
| ~ product(X0,a,X1) ),
inference(resolution,[],[f7,f33]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X0,X3)
| ~ product(X1,X2,multiplicative_identity)
| ~ defined(X0)
| product(X1,X3,X0) ),
inference(resolution,[],[f8,f6]) ).
fof(f52,plain,
! [X0] :
( product(X0,multiplicative_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f8,f10]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,X0,X3)
| ~ product(X1,X0,X2)
| product(X2,multiplicative_identity,X3)
| ~ defined(X0) ),
inference(resolution,[],[f52,f7]) ).
fof(f69,plain,
! [X0] :
( ~ product(X0,a,multiplicative_identity)
| ~ defined(u)
| product(X0,b,u) ),
inference(resolution,[],[f51,f32]) ).
fof(f79,plain,
! [X0] :
( ~ product(X0,a,multiplicative_identity)
| product(X0,b,u) ),
inference(forward_subsumption_resolution,[],[f69,f29]) ).
fof(f84,definition,
( spl0_3
<=> sum(additive_identity,a,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f85,plain,
( ~ sum(additive_identity,a,additive_identity)
| spl0_3 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( sum(additive_identity,a,additive_identity)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f92,plain,
( product(multiplicative_inverse(a),b,u)
| sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f79,f9]) ).
fof(f121,plain,
! [X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| product(X1,multiplicative_identity,X0)
| ~ defined(multiplicative_identity)
| ~ defined(X0) ),
inference(resolution,[],[f53,f52]) ).
fof(f124,plain,
! [X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| product(X1,multiplicative_identity,X0)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f121,f17]) ).
fof(f140,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f4,f5]) ).
fof(f175,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X4,X3)
| sum(X2,X3,X4)
| ~ product(X0,X4,X2)
| ~ sum(X0,X1,multiplicative_identity)
| ~ defined(X4) ),
inference(resolution,[],[f11,f8]) ).
fof(f179,plain,
! [X0,X1] :
( sum(X0,b,u)
| ~ product(X1,u,X0)
| ~ sum(X1,a,multiplicative_identity)
| ~ defined(u) ),
inference(resolution,[],[f175,f32]) ).
fof(f192,plain,
! [X0,X1] :
( ~ product(X1,u,X0)
| sum(X0,b,u)
| ~ sum(X1,a,multiplicative_identity) ),
inference(forward_subsumption_resolution,[],[f179,f29]) ).
fof(f208,definition,
( spl0_12
<=> sum(multiplicative_identity,a,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f209,plain,
( sum(multiplicative_identity,a,multiplicative_identity)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f210,plain,
( ~ sum(multiplicative_identity,a,multiplicative_identity)
| spl0_12 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f218,plain,
( sum(u,b,u)
| ~ sum(multiplicative_identity,a,multiplicative_identity)
| ~ defined(u) ),
inference(resolution,[],[f192,f8]) ).
fof(f238,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X2,X3)
| ~ sum(X0,X1,additive_identity)
| sum(X0,X3,X2)
| ~ defined(X2) ),
inference(resolution,[],[f1,f3]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,additive_inverse(X2),X3)
| ~ sum(X0,X1,X2)
| sum(X0,X3,additive_identity)
| ~ defined(X2) ),
inference(resolution,[],[f1,f140]) ).
fof(f242,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1)
| ~ defined(X1)
| ~ defined(X1) ),
inference(resolution,[],[f238,f3]) ).
fof(f247,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f242]) ).
fof(f386,definition,
( spl0_33
<=> sum(a,multiplicative_identity,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f387,plain,
( sum(a,multiplicative_identity,multiplicative_identity)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f388,plain,
( ~ sum(a,multiplicative_identity,multiplicative_identity)
| spl0_33 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f390,definition,
( spl0_34
<=> sum(b,u,u) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f391,plain,
( ~ sum(b,u,u)
| spl0_34 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f392,plain,
( sum(b,u,u)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f1067,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(X0,additive_identity,additive_identity)
| ~ defined(X1)
| ~ defined(X1) ),
inference(resolution,[],[f241,f140]) ).
fof(f1071,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(X0,additive_identity,additive_identity)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f1067]) ).
fof(f1209,plain,
( sum(a,additive_identity,additive_identity)
| ~ spl0_3 ),
inference(resolution,[],[f86,f5]) ).
fof(f1214,plain,
( ! [X0] :
( sum(a,X0,X0)
| ~ defined(X0) )
| ~ spl0_3 ),
inference(resolution,[],[f1209,f247]) ).
fof(f1228,plain,
( ~ defined(multiplicative_identity)
| ~ spl0_3
| spl0_33 ),
inference(resolution,[],[f1214,f388]) ).
fof(f1250,plain,
( $false
| ~ spl0_3
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f1228,f17]) ).
fof(f1251,plain,
( ~ spl0_3
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f1250]) ).
fof(f1257,plain,
( sum(multiplicative_identity,a,multiplicative_identity)
| ~ spl0_33 ),
inference(resolution,[],[f387,f5]) ).
fof(f1259,plain,
( $false
| spl0_12
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1257,f210]) ).
fof(f1260,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1259]) ).
fof(f1261,plain,
( sum(u,b,u)
| ~ defined(u)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f218,f209]) ).
fof(f1262,plain,
( sum(u,b,u)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1261,f29]) ).
fof(f1268,plain,
( sum(b,u,u)
| ~ spl0_12 ),
inference(resolution,[],[f1262,f5]) ).
fof(f1280,plain,
( sum(b,additive_identity,additive_identity)
| ~ defined(u)
| ~ spl0_34 ),
inference(resolution,[],[f392,f1071]) ).
fof(f1281,plain,
( sum(b,additive_identity,additive_identity)
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1280,f29]) ).
fof(f1364,plain,
( sum(additive_identity,b,additive_identity)
| ~ spl0_34 ),
inference(resolution,[],[f1281,f5]) ).
fof(f1366,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1364,f31]) ).
fof(f1367,plain,
~ spl0_34,
inference(avatar_contradiction_clause,[],[f1366]) ).
fof(f1372,plain,
( $false
| ~ spl0_12
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f1268,f391]) ).
fof(f1373,plain,
( ~ spl0_12
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f1372]) ).
fof(f1375,plain,
( product(multiplicative_inverse(a),b,u)
| ~ defined(a)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f92,f85]) ).
fof(f1386,plain,
( product(multiplicative_inverse(a),b,u)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1375,f27]) ).
fof(f1476,plain,
( ! [X0] :
( ~ product(multiplicative_inverse(a),a,X0)
| product(X0,v,u) )
| spl0_3 ),
inference(resolution,[],[f1386,f39]) ).
fof(f1491,plain,
( product(multiplicative_identity,v,u)
| sum(additive_identity,a,additive_identity)
| ~ defined(a)
| spl0_3 ),
inference(resolution,[],[f1476,f9]) ).
fof(f1496,plain,
( product(multiplicative_identity,v,u)
| ~ defined(a)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1491,f85]) ).
fof(f1511,plain,
( product(multiplicative_identity,v,u)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1496,f27]) ).
fof(f1521,plain,
( product(v,multiplicative_identity,u)
| spl0_3 ),
inference(resolution,[],[f1511,f10]) ).
fof(f1536,plain,
( product(u,multiplicative_identity,v)
| ~ defined(v)
| spl0_3 ),
inference(resolution,[],[f1521,f124]) ).
fof(f1554,plain,
( product(u,multiplicative_identity,v)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1536,f30]) ).
fof(f1564,plain,
( product(multiplicative_identity,u,v)
| spl0_3 ),
inference(resolution,[],[f1554,f10]) ).
fof(f1576,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1564,f34]) ).
fof(f1577,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1576]) ).
cnf(s58,plain,
( ~ spl0_3
| spl0_33 ),
inference(sat_conversion,[],[f1251]) ).
cnf(s59,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f1260]) ).
cnf(s61,plain,
~ spl0_34,
inference(sat_conversion,[],[f1367]) ).
cnf(s62,plain,
( ~ spl0_12
| spl0_34 ),
inference(sat_conversion,[],[f1373]) ).
cnf(s74,plain,
spl0_3,
inference(sat_conversion,[],[f1577]) ).
cnf(s76,plain,
~ spl0_12,
inference(rat,[],[s62,s61]) ).
cnf(s77,plain,
~ spl0_33,
inference(rat,[],[s59,s76]) ).
cnf(s78,plain,
$false,
inference(rat,[],[s58,s77,s74]) ).
fof(f1578,plain,
$false,
inference(avatar_sat_refutation,[],[s78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD029-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n009.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 00:29:31 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.51/1.41 % (3653229)Input is clausal, will run a generic CNF schedule.
% 4.51/1.41 % (3653234)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4221944550:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.51/1.41 % (3653237)lrs+10_1_sil=8000:sp=occurrence:random_seed=3110784545:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.51/1.41 % (3653235)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1413601293:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.51/1.41 % (3653238)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2656953466:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.51/1.41 % (3653236)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1673070085:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.51/1.41 % (3653240)dis-21_1_sil=8000:lcm=predicate:random_seed=3411278419:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.51/1.41 % (3653239)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3586829068:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.51/1.41 % (3653238)Instruction limit reached!
% 4.51/1.41 % (3653238)------------------------------
% 4.51/1.41 % (3653238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.41 % (3653238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.41 % (3653238)CaDiCaL version: 2.1.3
% 4.51/1.41 % (3653238)Termination reason: Instruction limit
% 4.51/1.41 % (3653238)Termination phase: Saturation
% 4.51/1.41 % (3653238)Time elapsed: 0.064 s
% 4.51/1.41 % (3653238)Peak memory usage: 88 MB
% 4.51/1.41 % (3653238)Instructions burned: 119 (million)
% 4.51/1.41 % (3653237)Instruction limit reached!
% 4.51/1.41 % (3653237)------------------------------
% 4.51/1.41 % (3653237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.41 % (3653237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.41 % (3653237)CaDiCaL version: 2.1.3
% 4.51/1.41 % (3653237)Termination reason: Instruction limit
% 4.51/1.41 % (3653237)Termination phase: Saturation
% 4.51/1.41 % (3653237)Time elapsed: 0.067 s
% 4.51/1.41 % (3653237)Peak memory usage: 88 MB
% 4.51/1.41 % (3653237)Instructions burned: 107 (million)
% 4.51/1.41 % (3653240)Instruction limit reached!
% 4.51/1.41 % (3653240)------------------------------
% 4.51/1.41 % (3653240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.41 % (3653240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.41 % (3653240)CaDiCaL version: 2.1.3
% 4.51/1.41 % (3653240)Termination reason: Instruction limit
% 4.51/1.41 % (3653240)Termination phase: Saturation
% 4.51/1.41 % (3653240)Time elapsed: 0.072 s
% 4.51/1.41 % (3653240)Peak memory usage: 89 MB
% 4.51/1.41 % (3653240)Instructions burned: 118 (million)
% 4.51/1.41 % (3653239)Instruction limit reached!
% 4.51/1.41 % (3653239)------------------------------
% 4.51/1.41 % (3653239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.41 % (3653239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.41 % (3653239)CaDiCaL version: 2.1.3
% 4.51/1.41 % (3653239)Termination reason: Instruction limit
% 4.51/1.41 % (3653239)Termination phase: Saturation
% 4.51/1.41 % (3653239)Time elapsed: 0.113 s
% 4.51/1.41 % (3653239)Peak memory usage: 89 MB
% 4.51/1.41 % (3653239)Instructions burned: 181 (million)
% 4.51/1.41 % (3653248)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=345446462:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.51/1.41 % (3653249)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3374263672:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.51/1.41 % (3653250)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1722659097:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.51/1.41 % (3653251)lrs+10_64_to=lpo:sil=8000:random_seed=640797001:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.51/1.41 % (3653248)Instruction limit reached!
% 4.51/1.41 % (3653248)------------------------------
% 4.51/1.41 % (3653248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.41 % (3653248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.41 % (3653248)CaDiCaL version: 2.1.3
% 4.51/1.41 % (3653248)Termination reason: Instruction limit
% 4.51/1.41 % (3653248)Termination phase: Saturation
% 4.51/1.41 % (3653248)Time elapsed: 0.084 s
% 4.51/1.41 % (3653248)Peak memory usage: 88 MB
% 4.51/1.41 % (3653248)Instructions burned: 144 (million)
% 4.51/1.41 % (3653249)Instruction limit reached!
% 4.51/1.41 % (3653249)------------------------------
% 4.51/1.41 % (3653249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.41 % (3653249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.41 % (3653249)CaDiCaL version: 2.1.3
% 4.51/1.41 % (3653249)Termination reason: Instruction limit
% 4.51/1.41 % (3653249)Termination phase: Saturation
% 4.51/1.41 % (3653249)Time elapsed: 0.095 s
% 4.51/1.41 % (3653249)Peak memory usage: 93 MB
% 4.51/1.41 % (3653249)Instructions burned: 191 (million)
% 4.51/1.41 % (3653250)Instruction limit reached!
% 4.51/1.41 % (3653250)------------------------------
% 4.51/1.41 % (3653250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.41 % (3653250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.41 % (3653250)CaDiCaL version: 2.1.3
% 4.51/1.41 % (3653250)Termination reason: Instruction limit
% 4.51/1.41 % (3653250)Termination phase: Saturation
% 4.51/1.41 % (3653250)Time elapsed: 0.131 s
% 4.51/1.41 % (3653250)Peak memory usage: 89 MB
% 4.51/1.41 % (3653250)Instructions burned: 220 (million)
% 4.51/1.41 % (3653251)Instruction limit reached!
% 4.51/1.41 % (3653251)------------------------------
% 4.51/1.41 % (3653251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.41 % (3653251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.41 % (3653251)CaDiCaL version: 2.1.3
% 4.51/1.41 % (3653251)Termination reason: Instruction limit
% 4.51/1.41 % (3653251)Termination phase: Saturation
% 4.51/1.41 % (3653251)Time elapsed: 0.079 s
% 4.51/1.41 % (3653251)Peak memory usage: 89 MB
% 4.51/1.41 % (3653251)Instructions burned: 127 (million)
% 4.51/1.41 % (3653256)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1247590901:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.51/1.41 % (3653257)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1471959242:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.51/1.41 % (3653234)First to succeed.
% 4.51/1.41 % (3653234)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3653229"
% 4.51/1.41 % (3653258)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1252030389:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.51/1.41 % (3653259)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3543927554:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 4.51/1.41 % (3653257)Instruction limit reached!
% 4.51/1.41 % (3653257)------------------------------
% 4.51/1.41 % (3653257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.41 % (3653257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.41 % (3653257)CaDiCaL version: 2.1.3
% 4.51/1.41 % (3653257)Termination reason: Instruction limit
% 4.51/1.41 % (3653257)Termination phase: Saturation
% 4.51/1.41 % (3653257)Time elapsed: 0.102 s
% 4.51/1.41 % (3653257)Peak memory usage: 90 MB
% 4.51/1.41 % (3653257)Instructions burned: 157 (million)
% 4.51/1.41 % (3653259)Instruction limit reached!
% 4.51/1.41 % (3653259)------------------------------
% 4.51/1.41 % (3653259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.41 % (3653259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.41 % (3653259)CaDiCaL version: 2.1.3
% 4.51/1.41 % (3653259)Termination reason: Instruction limit
% 4.51/1.41 % (3653259)Termination phase: Saturation
% 4.51/1.41 % (3653259)Time elapsed: 0.057 s
% 4.51/1.41 % (3653259)Peak memory usage: 90 MB
% 4.51/1.41 % (3653259)Instructions burned: 107 (million)
% 4.51/1.41 % (3653256)Instruction limit reached!
% 4.51/1.41 % (3653256)------------------------------
% 4.51/1.41 % (3653256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.41 % (3653256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.41 % (3653256)CaDiCaL version: 2.1.3
% 4.51/1.41 % (3653256)Termination reason: Instruction limit
% 4.51/1.41 % (3653256)Termination phase: Saturation
% 4.51/1.41 % (3653256)Time elapsed: 0.135 s
% 4.51/1.41 % (3653256)Peak memory usage: 89 MB
% 4.51/1.41 % (3653256)Instructions burned: 195 (million)
% 4.51/1.41 % (3653234)Refutation found. Thanks to Tanya!
% 4.51/1.41 % SZS status Unsatisfiable for theBenchmark
% 4.51/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.60 % (3653234)------------------------------
% 0.18/1.60 % (3653234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.60 % (3653234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.60 % (3653234)CaDiCaL version: 2.1.3
% 0.18/1.60 % (3653234)Termination reason: Refutation
% 0.18/1.60 % (3653234)Time elapsed: 0.492 s
% 0.18/1.60 % (3653234)Peak memory usage: 131 MB
% 0.18/1.60 % (3653234)Instructions burned: 1181 (million)
% 0.18/1.60 % (3653234)------------------------------
% 0.18/1.60 % (3653234)------------------------------
% 0.18/1.60 % (3653229)Success in time 0.751 s
% 0.18/1.60 % Vampire exiting
%------------------------------------------------------------------------------