%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD047-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 09:49:11 AM UTC 2026
% Result : Unsatisfiable 9.96s 2.09s
% Output : Refutation 10.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 28
% Syntax : Number of formulae : 100 ( 37 unt; 6 def)
% Number of atoms : 204 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 205 ( 101 ~; 100 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-1 aty)
% Number of variables : 73 ( 0 sgn 73 !; 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/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',distributivity_1) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f30,axiom,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
fof(f32,axiom,
defined(t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_is_defined) ).
fof(f33,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
fof(f34,negated_conjecture,
~ sum(additive_identity,c,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_8) ).
fof(f35,negated_conjecture,
product(a,multiplicative_inverse(b),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_9) ).
fof(f36,negated_conjecture,
product(a,c,s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_10) ).
fof(f37,negated_conjecture,
product(b,c,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_11) ).
fof(f38,negated_conjecture,
~ product(s,multiplicative_inverse(t),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_12) ).
fof(f39,definition,
sF0 = multiplicative_inverse(b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f40,plain,
multiplicative_inverse(b) = sF0,
inference(reorient_equations,[],[f39]) ).
fof(f41,plain,
product(a,sF0,u),
inference(definition_folding,[],[f35,f40]) ).
fof(f42,definition,
sF1 = multiplicative_inverse(t),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f43,plain,
multiplicative_inverse(t) = sF1,
inference(reorient_equations,[],[f42]) ).
fof(f44,plain,
~ product(s,sF1,u),
inference(definition_folding,[],[f38,f43]) ).
fof(f45,plain,
( product(sF1,t,multiplicative_identity)
| sum(additive_identity,t,additive_identity)
| ~ defined(t) ),
inference(superposition,[],[f9,f43]) ).
fof(f46,plain,
( product(sF1,t,multiplicative_identity)
| sum(additive_identity,t,additive_identity) ),
inference(forward_subsumption_resolution,[],[f45,f32]) ).
fof(f48,definition,
( spl2_1
<=> sum(additive_identity,t,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f50,plain,
( sum(additive_identity,t,additive_identity)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f52,definition,
( spl2_2
<=> product(sF1,t,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f54,plain,
( product(sF1,t,multiplicative_identity)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f46,f52,f48]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ product(X1,c,X2)
| ~ product(X0,X1,a)
| product(X0,X2,s) ),
inference(resolution,[],[f6,f36]) ).
fof(f64,plain,
product(sF0,a,u),
inference(resolution,[],[f10,f41]) ).
fof(f68,plain,
product(c,b,t),
inference(resolution,[],[f37,f10]) ).
fof(f77,plain,
( product(sF0,b,multiplicative_identity)
| sum(additive_identity,b,additive_identity)
| ~ defined(b) ),
inference(superposition,[],[f9,f40]) ).
fof(f78,plain,
( product(sF0,b,multiplicative_identity)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f77,f33]) ).
fof(f79,plain,
product(sF0,b,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f78,f28]) ).
fof(f80,plain,
product(b,sF0,multiplicative_identity),
inference(resolution,[],[f79,f10]) ).
fof(f96,plain,
( ~ defined(c)
| defined(multiplicative_inverse(c)) ),
inference(resolution,[],[f18,f34]) ).
fof(f98,plain,
defined(multiplicative_inverse(c)),
inference(forward_subsumption_resolution,[],[f96,f29]) ).
fof(f103,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(f123,plain,
! [X0] :
( ~ product(X0,c,multiplicative_identity)
| ~ defined(b)
| product(X0,t,b) ),
inference(resolution,[],[f103,f68]) ).
fof(f125,plain,
! [X0] :
( ~ product(X0,sF0,multiplicative_identity)
| ~ defined(a)
| product(X0,u,a) ),
inference(resolution,[],[f103,f64]) ).
fof(f130,plain,
! [X0] :
( ~ product(X0,sF0,multiplicative_identity)
| product(X0,u,a) ),
inference(forward_subsumption_resolution,[],[f125,f27]) ).
fof(f132,plain,
! [X0] :
( ~ product(X0,c,multiplicative_identity)
| product(X0,t,b) ),
inference(forward_subsumption_resolution,[],[f123,f28]) ).
fof(f148,plain,
( product(multiplicative_inverse(c),t,b)
| sum(additive_identity,c,additive_identity)
| ~ defined(c) ),
inference(resolution,[],[f132,f9]) ).
fof(f149,plain,
( product(multiplicative_inverse(c),t,b)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f148,f34]) ).
fof(f150,plain,
product(multiplicative_inverse(c),t,b),
inference(forward_subsumption_resolution,[],[f149,f29]) ).
fof(f152,plain,
product(b,u,a),
inference(resolution,[],[f130,f80]) ).
fof(f164,plain,
product(u,b,a),
inference(resolution,[],[f152,f10]) ).
fof(f175,plain,
product(t,multiplicative_inverse(c),b),
inference(resolution,[],[f150,f10]) ).
fof(f208,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(f213,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f4,f5]) ).
fof(f214,plain,
! [X2,X3,X0,X1] :
( ~ sum(X2,additive_inverse(X0),X3)
| ~ sum(X1,X2,X0)
| ~ defined(X0)
| sum(X1,X3,additive_identity) ),
inference(resolution,[],[f213,f1]) ).
fof(f242,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(f299,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1)
| ~ defined(X1)
| ~ defined(X1) ),
inference(resolution,[],[f208,f3]) ).
fof(f306,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f299]) ).
fof(f311,plain,
! [X0] :
( ~ product(X0,b,a)
| product(X0,t,s) ),
inference(resolution,[],[f57,f37]) ).
fof(f317,plain,
product(u,t,s),
inference(resolution,[],[f311,f164]) ).
fof(f321,plain,
product(t,u,s),
inference(resolution,[],[f317,f10]) ).
fof(f326,plain,
! [X0] :
( ~ product(X0,t,multiplicative_identity)
| ~ defined(u)
| product(X0,s,u) ),
inference(resolution,[],[f321,f103]) ).
fof(f330,plain,
! [X0] :
( ~ product(X0,t,multiplicative_identity)
| product(X0,s,u) ),
inference(forward_subsumption_resolution,[],[f326,f30]) ).
fof(f574,plain,
( sum(t,additive_identity,additive_identity)
| ~ spl2_1 ),
inference(resolution,[],[f50,f5]) ).
fof(f593,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| ~ defined(X1)
| sum(X0,additive_identity,additive_identity)
| ~ defined(X1) ),
inference(resolution,[],[f214,f213]) ).
fof(f596,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| ~ defined(X1)
| sum(X0,additive_identity,additive_identity) ),
inference(duplicate_literal_removal,[],[f593]) ).
fof(f779,plain,
( product(sF1,s,u)
| ~ spl2_2 ),
inference(resolution,[],[f330,f54]) ).
fof(f784,plain,
( product(s,sF1,u)
| ~ spl2_2 ),
inference(resolution,[],[f779,f10]) ).
fof(f787,plain,
( $false
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f784,f44]) ).
fof(f788,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f787]) ).
fof(f838,plain,
( ! [X0] :
( sum(t,X0,X0)
| ~ defined(X0) )
| ~ spl2_1 ),
inference(resolution,[],[f306,f574]) ).
fof(f1347,plain,
! [X2,X0,X1] :
( sum(X0,X1,X1)
| ~ product(X2,X1,X0)
| ~ sum(X2,multiplicative_identity,multiplicative_identity)
| ~ defined(X1)
| ~ defined(X1) ),
inference(resolution,[],[f242,f8]) ).
fof(f1378,plain,
! [X2,X0,X1] :
( ~ product(X2,X1,X0)
| sum(X0,X1,X1)
| ~ sum(X2,multiplicative_identity,multiplicative_identity)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f1347]) ).
fof(f1490,plain,
( sum(b,multiplicative_inverse(c),multiplicative_inverse(c))
| ~ sum(t,multiplicative_identity,multiplicative_identity)
| ~ defined(multiplicative_inverse(c)) ),
inference(resolution,[],[f1378,f175]) ).
fof(f1503,plain,
( sum(b,multiplicative_inverse(c),multiplicative_inverse(c))
| ~ sum(t,multiplicative_identity,multiplicative_identity) ),
inference(forward_subsumption_resolution,[],[f1490,f98]) ).
fof(f1536,definition,
( spl2_84
<=> sum(t,multiplicative_identity,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl2_84])],[avatar_definition]) ).
fof(f1538,plain,
( ~ sum(t,multiplicative_identity,multiplicative_identity)
| spl2_84 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1540,definition,
( spl2_85
<=> sum(b,multiplicative_inverse(c),multiplicative_inverse(c)) ),
introduced(definition,[new_symbols(definition,[spl2_85])],[avatar_definition]) ).
fof(f1542,plain,
( sum(b,multiplicative_inverse(c),multiplicative_inverse(c))
| ~ spl2_85 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f1543,plain,
( ~ spl2_84
| spl2_85 ),
inference(avatar_split_clause,[],[f1503,f1540,f1536]) ).
fof(f3102,plain,
( ~ defined(multiplicative_inverse(c))
| sum(b,additive_identity,additive_identity)
| ~ spl2_85 ),
inference(resolution,[],[f1542,f596]) ).
fof(f3103,plain,
( sum(b,additive_identity,additive_identity)
| ~ spl2_85 ),
inference(forward_subsumption_resolution,[],[f3102,f98]) ).
fof(f3114,plain,
( sum(additive_identity,b,additive_identity)
| ~ spl2_85 ),
inference(resolution,[],[f3103,f5]) ).
fof(f3116,plain,
( $false
| ~ spl2_85 ),
inference(forward_subsumption_resolution,[],[f3114,f33]) ).
fof(f3117,plain,
~ spl2_85,
inference(avatar_contradiction_clause,[],[f3116]) ).
fof(f3347,plain,
( ~ defined(multiplicative_identity)
| ~ spl2_1
| spl2_84 ),
inference(resolution,[],[f1538,f838]) ).
fof(f3348,plain,
( $false
| ~ spl2_1
| spl2_84 ),
inference(forward_subsumption_resolution,[],[f3347,f17]) ).
fof(f3349,plain,
( ~ spl2_1
| spl2_84 ),
inference(avatar_contradiction_clause,[],[f3348]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s36,plain,
~ spl2_2,
inference(sat_conversion,[],[f788]) ).
cnf(s48,plain,
( ~ spl2_84
| spl2_85 ),
inference(sat_conversion,[],[f1543]) ).
cnf(s107,plain,
~ spl2_85,
inference(sat_conversion,[],[f3117]) ).
cnf(s118,plain,
( ~ spl2_1
| spl2_84 ),
inference(sat_conversion,[],[f3349]) ).
cnf(s120,plain,
~ spl2_84,
inference(rat,[],[s48,s107]) ).
cnf(s121,plain,
~ spl2_1,
inference(rat,[],[s118,s120]) ).
cnf(s123,plain,
$false,
inference(rat,[],[s1,s36,s121]) ).
fof(f3350,plain,
$false,
inference(avatar_sat_refutation,[],[s123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD047-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 00:37:45 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.96/2.09 % (2336658)Input is clausal, will run a generic CNF schedule.
% 9.96/2.09 % (2336755)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=2757824736:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.96/2.09 % (2336756)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=691422226:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.96/2.09 % (2336760)lrs+10_1_sil=8000:sp=occurrence:random_seed=2763461882:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.96/2.09 % (2336758)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=994431738:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.96/2.09 % (2336761)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3848830629:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.96/2.09 % (2336765)dis-21_1_sil=8000:lcm=predicate:random_seed=462161838: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)
% 9.96/2.09 % (2336763)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=872305415:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.96/2.09 % (2336760)Instruction limit reached!
% 9.96/2.09 % (2336760)------------------------------
% 9.96/2.09 % (2336760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.09 % (2336760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.09 % (2336760)CaDiCaL version: 2.1.3
% 9.96/2.09 % (2336760)Termination reason: Instruction limit
% 9.96/2.09 % (2336760)Termination phase: Saturation
% 9.96/2.09 % (2336760)Time elapsed: 0.070 s
% 9.96/2.09 % (2336760)Peak memory usage: 89 MB
% 9.96/2.09 % (2336760)Instructions burned: 107 (million)
% 9.96/2.09 % (2336761)Instruction limit reached!
% 9.96/2.09 % (2336761)------------------------------
% 9.96/2.09 % (2336761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.09 % (2336761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.09 % (2336761)CaDiCaL version: 2.1.3
% 9.96/2.09 % (2336761)Termination reason: Instruction limit
% 9.96/2.09 % (2336761)Termination phase: Saturation
% 9.96/2.09 % (2336761)Time elapsed: 0.068 s
% 9.96/2.09 % (2336761)Peak memory usage: 88 MB
% 9.96/2.09 % (2336761)Instructions burned: 115 (million)
% 9.96/2.09 % (2336765)Instruction limit reached!
% 9.96/2.09 % (2336765)------------------------------
% 9.96/2.09 % (2336765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.09 % (2336765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.09 % (2336765)CaDiCaL version: 2.1.3
% 9.96/2.09 % (2336765)Termination reason: Instruction limit
% 9.96/2.09 % (2336765)Termination phase: Saturation
% 9.96/2.09 % (2336765)Time elapsed: 0.079 s
% 9.96/2.09 % (2336765)Peak memory usage: 89 MB
% 9.96/2.09 % (2336765)Instructions burned: 117 (million)
% 9.96/2.09 % (2336763)Instruction limit reached!
% 9.96/2.09 % (2336763)------------------------------
% 9.96/2.09 % (2336763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.09 % (2336763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.09 % (2336763)CaDiCaL version: 2.1.3
% 9.96/2.09 % (2336763)Termination reason: Instruction limit
% 9.96/2.09 % (2336763)Termination phase: Saturation
% 9.96/2.09 % (2336763)Time elapsed: 0.103 s
% 9.96/2.09 % (2336763)Peak memory usage: 89 MB
% 9.96/2.09 % (2336763)Instructions burned: 181 (million)
% 9.96/2.09 % (2336808)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3198178610: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)
% 9.96/2.09 % (2336809)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2919093466:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.96/2.09 % (2336807)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=1772021154:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.96/2.09 % (2336810)lrs+10_64_to=lpo:sil=8000:random_seed=1979464968:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 9.96/2.09 % (2336808)Instruction limit reached!
% 9.96/2.09 % (2336808)------------------------------
% 9.96/2.09 % (2336808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.09 % (2336808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.09 % (2336808)CaDiCaL version: 2.1.3
% 9.96/2.09 % (2336808)Termination reason: Instruction limit
% 9.96/2.09 % (2336808)Termination phase: Saturation
% 9.96/2.09 % (2336808)Time elapsed: 0.092 s
% 9.96/2.09 % (2336808)Peak memory usage: 89 MB
% 9.96/2.09 % (2336808)Instructions burned: 190 (million)
% 9.96/2.09 % (2336810)Instruction limit reached!
% 9.96/2.09 % (2336810)------------------------------
% 9.96/2.09 % (2336810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.09 % (2336810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.09 % (2336810)CaDiCaL version: 2.1.3
% 9.96/2.09 % (2336810)Termination reason: Instruction limit
% 9.96/2.09 % (2336810)Termination phase: Saturation
% 9.96/2.09 % (2336810)Time elapsed: 0.076 s
% 9.96/2.09 % (2336810)Peak memory usage: 89 MB
% 9.96/2.09 % (2336810)Instructions burned: 126 (million)
% 9.96/2.09 % (2336807)Instruction limit reached!
% 9.96/2.09 % (2336807)------------------------------
% 9.96/2.09 % (2336807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.09 % (2336807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.09 % (2336807)CaDiCaL version: 2.1.3
% 9.96/2.09 % (2336807)Termination reason: Instruction limit
% 9.96/2.09 % (2336807)Termination phase: Saturation
% 9.96/2.09 % (2336807)Time elapsed: 0.105 s
% 9.96/2.09 % (2336807)Peak memory usage: 89 MB
% 9.96/2.09 % (2336807)Instructions burned: 146 (million)
% 9.96/2.09 % (2336809)Instruction limit reached!
% 9.96/2.09 % (2336809)------------------------------
% 9.96/2.09 % (2336809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.09 % (2336809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.09 % (2336809)CaDiCaL version: 2.1.3
% 9.96/2.09 % (2336809)Termination reason: Instruction limit
% 9.96/2.09 % (2336809)Termination phase: Saturation
% 9.96/2.09 % (2336809)Time elapsed: 0.131 s
% 9.96/2.09 % (2336809)Peak memory usage: 89 MB
% 9.96/2.09 % (2336809)Instructions burned: 219 (million)
% 9.96/2.09 % (2336815)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2353551396:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 9.96/2.09 % (2336817)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3877596480:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 9.96/2.09 % (2336816)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2350206447:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 9.96/2.09 % (2336818)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=1006460065:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 9.96/2.09 % (2336815)Instruction limit reached!
% 9.96/2.09 % (2336815)------------------------------
% 9.96/2.09 % (2336815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.09 % (2336815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.09 % (2336815)CaDiCaL version: 2.1.3
% 9.96/2.09 % (2336815)Termination reason: Instruction limit
% 9.96/2.09 % (2336815)Termination phase: Saturation
% 9.96/2.09 % (2336815)Time elapsed: 0.133 s
% 9.96/2.09 % (2336815)Peak memory usage: 89 MB
% 9.96/2.09 % (2336815)Instructions burned: 195 (million)
% 9.96/2.09 % (2336818)Instruction limit reached!
% 9.96/2.09 % (2336818)------------------------------
% 9.96/2.09 % (2336818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.09 % (2336818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.09 % (2336818)CaDiCaL version: 2.1.3
% 9.96/2.09 % (2336818)Termination reason: Instruction limit
% 9.96/2.09 % (2336818)Termination phase: Saturation
% 9.96/2.09 % (2336818)Time elapsed: 0.055 s
% 9.96/2.09 % (2336818)Peak memory usage: 90 MB
% 9.96/2.09 % (2336818)Instructions burned: 108 (million)
% 9.96/2.09 % (2336816)Instruction limit reached!
% 9.96/2.09 % (2336816)------------------------------
% 9.96/2.09 % (2336816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.09 % (2336816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.09 % (2336816)CaDiCaL version: 2.1.3
% 9.96/2.09 % (2336816)Termination reason: Instruction limit
% 9.96/2.09 % (2336816)Termination phase: Saturation
% 9.96/2.09 % (2336816)Time elapsed: 0.101 s
% 9.96/2.09 % (2336816)Peak memory usage: 90 MB
% 9.96/2.09 % (2336816)Instructions burned: 158 (million)
% 9.96/2.09 % (2336755)First to succeed.
% 9.96/2.09 % (2336755)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2336658"
% 9.96/2.09 % (2336823)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3483383833:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 9.96/2.09 % (2336824)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3611496286:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.96/2.09 % (2336825)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3964806307:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 9.96/2.09 % (2336756)Also succeeded, but the first one will report.
% 9.96/2.09 % (2336823)Instruction limit reached!
% 9.96/2.09 % (2336823)------------------------------
% 9.96/2.09 % (2336823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.09 % (2336823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.09 % (2336823)CaDiCaL version: 2.1.3
% 9.96/2.09 % (2336823)Termination reason: Instruction limit
% 9.96/2.09 % (2336823)Termination phase: Saturation
% 9.96/2.09 % (2336823)Time elapsed: 0.115 s
% 9.96/2.09 % (2336823)Peak memory usage: 88 MB
% 9.96/2.09 % (2336823)Instructions burned: 107 (million)
% 9.96/2.09 % (2336824)Instruction limit reached!
% 9.96/2.09 % (2336824)------------------------------
% 9.96/2.09 % (2336824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.09 % (2336824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.09 % (2336824)CaDiCaL version: 2.1.3
% 9.96/2.09 % (2336824)Termination reason: Instruction limit
% 9.96/2.09 % (2336824)Termination phase: Saturation
% 9.96/2.09 % (2336824)Time elapsed: 0.230 s
% 9.96/2.09 % (2336824)Peak memory usage: 89 MB
% 9.96/2.09 % (2336824)Instructions burned: 243 (million)
% 9.96/2.09 % (2336846)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3458667780:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 9.96/2.09 % (2336755)Refutation found. Thanks to Tanya!
% 9.96/2.09 % SZS status Unsatisfiable for theBenchmark
% 9.96/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 10.61/2.32 % (2336755)------------------------------
% 10.61/2.32 % (2336755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.32 % (2336755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.32 % (2336755)CaDiCaL version: 2.1.3
% 10.61/2.32 % (2336755)Termination reason: Refutation
% 10.61/2.32 % (2336755)Time elapsed: 0.870 s
% 10.61/2.32 % (2336755)Peak memory usage: 134 MB
% 10.61/2.32 % (2336755)Instructions burned: 1486 (million)
% 10.61/2.32 % (2336755)------------------------------
% 10.61/2.32 % (2336755)------------------------------
% 10.61/2.32 % (2336658)Success in time 1.424 s
% 10.61/2.32 % Vampire exiting
%------------------------------------------------------------------------------