%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD052-4 : 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 : 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 09:49:14 AM UTC 2026
% Result : Unsatisfiable 8.38s 1.74s
% Output : Refutation 9.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 30
% Syntax : Number of formulae : 102 ( 90 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 59 ( 32 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-1 aty)
% Number of variables : 48 ( 48 !; 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(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| sum(X0,X1,X2)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
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(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/sandbox/benchmark/theBenchmark.p',associativity_multiplication_2) ).
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(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X4,X1,X6)
| ~ sum(X3,X4,X0)
| ~ product(X3,X1,X5)
| product(X0,X1,X2)
| ~ sum(X5,X6,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_2) ).
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(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
fof(f31,axiom,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
fof(f33,axiom,
defined(k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_is_defined) ).
fof(f34,axiom,
defined(l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_is_defined) ).
fof(f35,axiom,
defined(p),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_is_defined) ).
fof(f39,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_13) ).
fof(f40,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_14) ).
fof(f41,negated_conjecture,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_15) ).
fof(f42,negated_conjecture,
product(c,multiplicative_inverse(d),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_16) ).
fof(f43,negated_conjecture,
sum(s,t,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_17) ).
fof(f44,negated_conjecture,
product(a,d,p),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_18) ).
fof(f45,negated_conjecture,
product(b,c,q),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_19) ).
fof(f46,negated_conjecture,
sum(p,q,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_20) ).
fof(f47,negated_conjecture,
product(b,d,l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_21) ).
fof(f48,negated_conjecture,
~ product(k,multiplicative_inverse(l),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_22) ).
fof(f50,plain,
product(multiplicative_inverse(b),a,s),
inference(unit_resulting_resolution,[],[f10,f41]) ).
fof(f52,plain,
product(d,b,l),
inference(unit_resulting_resolution,[],[f10,f47]) ).
fof(f53,plain,
product(c,b,q),
inference(unit_resulting_resolution,[],[f10,f45]) ).
fof(f57,plain,
sum(q,p,k),
inference(unit_resulting_resolution,[],[f5,f46]) ).
fof(f64,plain,
~ product(multiplicative_inverse(l),k,u),
inference(unit_resulting_resolution,[],[f10,f48]) ).
fof(f67,plain,
sum(additive_identity,l,l),
inference(unit_resulting_resolution,[],[f3,f34]) ).
fof(f73,plain,
product(multiplicative_identity,l,l),
inference(unit_resulting_resolution,[],[f8,f34]) ).
fof(f74,plain,
product(l,multiplicative_identity,l),
inference(unit_resulting_resolution,[],[f10,f73]) ).
fof(f97,plain,
product(multiplicative_identity,a,a),
inference(unit_resulting_resolution,[],[f8,f27]) ).
fof(f98,plain,
sum(additive_inverse(a),a,additive_identity),
inference(unit_resulting_resolution,[],[f4,f27]) ).
fof(f106,plain,
product(multiplicative_identity,p,p),
inference(unit_resulting_resolution,[],[f6,f44,f44,f97]) ).
fof(f110,plain,
product(p,multiplicative_identity,p),
inference(unit_resulting_resolution,[],[f10,f106]) ).
fof(f115,plain,
product(multiplicative_identity,c,c),
inference(unit_resulting_resolution,[],[f8,f29]) ).
fof(f116,plain,
sum(additive_inverse(c),c,additive_identity),
inference(unit_resulting_resolution,[],[f4,f29]) ).
fof(f124,plain,
product(multiplicative_identity,q,q),
inference(unit_resulting_resolution,[],[f6,f53,f53,f115]) ).
fof(f128,plain,
sum(additive_inverse(p),p,additive_identity),
inference(unit_resulting_resolution,[],[f4,f35]) ).
fof(f145,plain,
product(q,multiplicative_identity,q),
inference(unit_resulting_resolution,[],[f10,f124]) ).
fof(f150,plain,
product(k,multiplicative_identity,k),
inference(unit_resulting_resolution,[],[f12,f57,f110,f57,f145]) ).
fof(f159,plain,
product(multiplicative_identity,b,b),
inference(unit_resulting_resolution,[],[f8,f28]) ).
fof(f161,plain,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference(unit_resulting_resolution,[],[f9,f39,f28]) ).
fof(f162,plain,
sum(additive_identity,b,b),
inference(unit_resulting_resolution,[],[f3,f28]) ).
fof(f164,plain,
product(b,multiplicative_inverse(b),multiplicative_identity),
inference(unit_resulting_resolution,[],[f10,f161]) ).
fof(f180,plain,
product(b,s,a),
inference(unit_resulting_resolution,[],[f6,f97,f50,f164]) ).
fof(f188,plain,
sum(b,additive_identity,b),
inference(unit_resulting_resolution,[],[f5,f162]) ).
fof(f220,plain,
product(multiplicative_identity,d,d),
inference(unit_resulting_resolution,[],[f8,f30]) ).
fof(f222,plain,
product(multiplicative_inverse(d),d,multiplicative_identity),
inference(unit_resulting_resolution,[],[f9,f40,f30]) ).
fof(f223,plain,
sum(additive_identity,d,d),
inference(unit_resulting_resolution,[],[f3,f30]) ).
fof(f225,plain,
product(multiplicative_inverse(d),l,b),
inference(unit_resulting_resolution,[],[f6,f159,f52,f222]) ).
fof(f226,plain,
product(d,multiplicative_inverse(d),multiplicative_identity),
inference(unit_resulting_resolution,[],[f10,f222]) ).
fof(f229,plain,
product(t,l,q),
inference(unit_resulting_resolution,[],[f7,f53,f42,f225]) ).
fof(f232,plain,
product(l,multiplicative_inverse(d),b),
inference(unit_resulting_resolution,[],[f10,f225]) ).
fof(f244,plain,
product(multiplicative_inverse(b),l,d),
inference(unit_resulting_resolution,[],[f6,f47,f161,f220]) ).
fof(f248,plain,
product(d,multiplicative_identity,d),
inference(unit_resulting_resolution,[],[f10,f220]) ).
fof(f251,plain,
product(s,l,p),
inference(unit_resulting_resolution,[],[f7,f44,f41,f244]) ).
fof(f255,plain,
product(l,multiplicative_inverse(b),d),
inference(unit_resulting_resolution,[],[f10,f244]) ).
fof(f263,plain,
product(l,s,p),
inference(unit_resulting_resolution,[],[f10,f251]) ).
fof(f264,plain,
product(u,l,k),
inference(unit_resulting_resolution,[],[f12,f46,f229,f43,f251]) ).
fof(f269,plain,
product(l,u,k),
inference(unit_resulting_resolution,[],[f10,f264]) ).
fof(f355,plain,
sum(d,additive_identity,d),
inference(unit_resulting_resolution,[],[f5,f223]) ).
fof(f400,plain,
sum(additive_identity,k,k),
inference(unit_resulting_resolution,[],[f3,f33]) ).
fof(f424,plain,
product(multiplicative_identity,u,u),
inference(unit_resulting_resolution,[],[f8,f31]) ).
fof(f425,plain,
sum(additive_inverse(u),u,additive_identity),
inference(unit_resulting_resolution,[],[f4,f31]) ).
fof(f429,plain,
~ product(multiplicative_inverse(l),l,multiplicative_identity),
inference(unit_resulting_resolution,[],[f6,f64,f269,f424]) ).
fof(f433,plain,
product(u,multiplicative_identity,u),
inference(unit_resulting_resolution,[],[f10,f424]) ).
fof(f446,plain,
~ sum(u,d,u),
inference(unit_resulting_resolution,[],[f2,f40,f425,f425]) ).
fof(f455,plain,
sum(additive_identity,l,additive_identity),
inference(unit_resulting_resolution,[],[f9,f34,f429]) ).
fof(f469,plain,
sum(b,l,b),
inference(unit_resulting_resolution,[],[f2,f188,f188,f455]) ).
fof(f470,plain,
sum(d,l,d),
inference(unit_resulting_resolution,[],[f2,f355,f355,f455]) ).
fof(f564,plain,
sum(l,d,d),
inference(unit_resulting_resolution,[],[f5,f470]) ).
fof(f591,plain,
sum(b,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f11,f226,f232,f226,f564]) ).
fof(f597,plain,
sum(q,c,c),
inference(unit_resulting_resolution,[],[f11,f115,f45,f115,f591]) ).
fof(f607,plain,
sum(c,q,c),
inference(unit_resulting_resolution,[],[f5,f597]) ).
fof(f611,plain,
sum(additive_identity,q,additive_identity),
inference(unit_resulting_resolution,[],[f2,f116,f116,f607]) ).
fof(f623,plain,
sum(additive_inverse(p),k,additive_identity),
inference(unit_resulting_resolution,[],[f1,f46,f128,f611]) ).
fof(f628,plain,
sum(additive_identity,p,k),
inference(unit_resulting_resolution,[],[f2,f400,f57,f611]) ).
fof(f734,plain,
sum(k,additive_inverse(p),additive_identity),
inference(unit_resulting_resolution,[],[f5,f623]) ).
fof(f945,plain,
sum(multiplicative_identity,d,multiplicative_identity),
inference(unit_resulting_resolution,[],[f11,f255,f164,f164,f469]) ).
fof(f946,plain,
sum(a,p,a),
inference(unit_resulting_resolution,[],[f11,f263,f180,f180,f469]) ).
fof(f1030,plain,
sum(additive_identity,p,additive_identity),
inference(unit_resulting_resolution,[],[f2,f98,f98,f946]) ).
fof(f1041,plain,
sum(additive_identity,k,additive_identity),
inference(unit_resulting_resolution,[],[f1,f46,f611,f1030]) ).
fof(f1053,plain,
sum(k,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f128,f734,f1030]) ).
fof(f1090,plain,
sum(k,k,additive_identity),
inference(unit_resulting_resolution,[],[f1,f628,f1030,f1053]) ).
fof(f1321,plain,
product(additive_identity,multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f1090,f150,f150,f1090]) ).
fof(f1377,plain,
product(k,multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f1041,f150,f400,f1321]) ).
fof(f1381,plain,
product(l,multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f455,f74,f67,f1321]) ).
fof(f1382,plain,
product(additive_identity,multiplicative_identity,l),
inference(unit_resulting_resolution,[],[f12,f67,f74,f455,f1321]) ).
fof(f1401,plain,
product(l,u,additive_identity),
inference(unit_resulting_resolution,[],[f6,f433,f269,f1377]) ).
fof(f1720,plain,
product(additive_identity,u,additive_identity),
inference(unit_resulting_resolution,[],[f6,f424,f1401,f1382]) ).
fof(f4159,plain,
product(multiplicative_inverse(b),additive_identity,d),
inference(unit_resulting_resolution,[],[f6,f248,f244,f1381]) ).
fof(f5906,plain,
product(d,u,d),
inference(unit_resulting_resolution,[],[f7,f1720,f4159,f4159]) ).
fof(f5997,plain,
sum(u,d,u),
inference(unit_resulting_resolution,[],[f11,f424,f424,f945,f5906]) ).
fof(f6021,plain,
$false,
inference(forward_subsumption_resolution,[],[f5997,f446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD052-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 % Computer : n026.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Tue Sep 29 00:43:57 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 Running first-order theorem proving
% 0.11/0.24 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
% 7.80/1.64 % (252321)Input is clausal, will run a generic CNF schedule.
% 7.80/1.64 % (252332)dis-21_1_sil=8000:lcm=predicate:random_seed=2870296014: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)
% 7.80/1.64 % (252327)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4292303804:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.80/1.64 % (252329)lrs+10_1_sil=8000:sp=occurrence:random_seed=570482873:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.80/1.64 % (252330)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4029477324:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.80/1.64 % (252331)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1130115984:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.80/1.64 % (252326)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=1924478370:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.80/1.64 % (252328)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1658561421:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.80/1.64 % (252332)Instruction limit reached!
% 7.80/1.64 % (252332)------------------------------
% 7.80/1.64 % (252332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.64 % (252332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.64 % (252332)CaDiCaL version: 2.1.3
% 7.80/1.64 % (252332)Termination reason: Instruction limit
% 7.80/1.64 % (252332)Termination phase: Saturation
% 7.80/1.64 % (252332)Time elapsed: 0.041 s
% 7.80/1.64 % (252332)Peak memory usage: 89 MB
% 7.80/1.64 % (252332)Instructions burned: 119 (million)
% 7.80/1.64 % (252329)Instruction limit reached!
% 7.80/1.64 % (252329)------------------------------
% 7.80/1.64 % (252329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.64 % (252329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.64 % (252329)CaDiCaL version: 2.1.3
% 7.80/1.64 % (252329)Termination reason: Instruction limit
% 7.80/1.64 % (252329)Termination phase: Saturation
% 7.80/1.64 % (252329)Time elapsed: 0.067 s
% 7.80/1.64 % (252329)Peak memory usage: 89 MB
% 7.80/1.64 % (252329)Instructions burned: 108 (million)
% 7.80/1.64 % (252330)Instruction limit reached!
% 7.80/1.64 % (252330)------------------------------
% 7.80/1.64 % (252330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.64 % (252330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.64 % (252330)CaDiCaL version: 2.1.3
% 7.80/1.64 % (252330)Termination reason: Instruction limit
% 7.80/1.64 % (252330)Termination phase: Saturation
% 7.80/1.64 % (252330)Time elapsed: 0.067 s
% 7.80/1.64 % (252330)Peak memory usage: 88 MB
% 7.80/1.64 % (252330)Instructions burned: 116 (million)
% 7.80/1.64 % (252340)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=219009505:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.80/1.64 % (252331)Instruction limit reached!
% 7.80/1.64 % (252331)------------------------------
% 7.80/1.64 % (252331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.64 % (252331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.64 % (252331)CaDiCaL version: 2.1.3
% 7.80/1.64 % (252331)Termination reason: Instruction limit
% 7.80/1.64 % (252331)Termination phase: Saturation
% 7.80/1.64 % (252331)Time elapsed: 0.109 s
% 7.80/1.64 % (252331)Peak memory usage: 89 MB
% 7.80/1.64 % (252331)Instructions burned: 181 (million)
% 7.80/1.64 % (252340)Instruction limit reached!
% 7.80/1.64 % (252340)------------------------------
% 7.80/1.64 % (252340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.64 % (252340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.64 % (252340)CaDiCaL version: 2.1.3
% 7.80/1.64 % (252340)Termination reason: Instruction limit
% 7.80/1.64 % (252340)Termination phase: Saturation
% 7.80/1.64 % (252340)Time elapsed: 0.043 s
% 7.80/1.64 % (252340)Peak memory usage: 89 MB
% 7.80/1.64 % (252340)Instructions burned: 147 (million)
% 7.80/1.64 % (252341)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1754380401: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)
% 8.38/1.74 % (252342)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3344394544:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.38/1.74 % (252344)lrs+10_64_to=lpo:sil=8000:random_seed=2055620413:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.38/1.74 % (252345)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1451237535:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 8.38/1.74 % (252341)Instruction limit reached!
% 8.38/1.74 % (252341)------------------------------
% 8.38/1.74 % (252341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.74 % (252341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.74 % (252341)CaDiCaL version: 2.1.3
% 8.38/1.74 % (252341)Termination reason: Instruction limit
% 8.38/1.74 % (252341)Termination phase: Saturation
% 8.38/1.74 % (252341)Time elapsed: 0.095 s
% 8.38/1.74 % (252341)Peak memory usage: 93 MB
% 8.38/1.74 % (252341)Instructions burned: 189 (million)
% 8.38/1.74 % (252344)Instruction limit reached!
% 8.38/1.74 % (252344)------------------------------
% 8.38/1.74 % (252344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.74 % (252344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.74 % (252344)CaDiCaL version: 2.1.3
% 8.38/1.74 % (252344)Termination reason: Instruction limit
% 8.38/1.74 % (252344)Termination phase: Saturation
% 8.38/1.74 % (252344)Time elapsed: 0.070 s
% 8.38/1.74 % (252344)Peak memory usage: 89 MB
% 8.38/1.74 % (252344)Instructions burned: 127 (million)
% 8.38/1.74 % (252345)Instruction limit reached!
% 8.38/1.74 % (252345)------------------------------
% 8.38/1.74 % (252345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.74 % (252345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.74 % (252345)CaDiCaL version: 2.1.3
% 8.38/1.74 % (252345)Termination reason: Instruction limit
% 8.38/1.74 % (252345)Termination phase: Saturation
% 8.38/1.74 % (252345)Time elapsed: 0.073 s
% 8.38/1.74 % (252345)Peak memory usage: 89 MB
% 8.38/1.74 % (252345)Instructions burned: 195 (million)
% 8.38/1.74 % (252342)Instruction limit reached!
% 8.38/1.74 % (252342)------------------------------
% 8.38/1.74 % (252342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.74 % (252342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.74 % (252342)CaDiCaL version: 2.1.3
% 8.38/1.74 % (252342)Termination reason: Instruction limit
% 8.38/1.74 % (252342)Termination phase: Saturation
% 8.38/1.74 % (252342)Time elapsed: 0.136 s
% 8.38/1.74 % (252342)Peak memory usage: 89 MB
% 8.38/1.74 % (252342)Instructions burned: 220 (million)
% 8.38/1.74 % (252352)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=2187577117:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 8.38/1.74 % (252351)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2406114669:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 8.38/1.74 % (252350)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=932553983:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.38/1.74 % (252352)Instruction limit reached!
% 8.38/1.74 % (252352)------------------------------
% 8.38/1.74 % (252352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.74 % (252352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.74 % (252352)CaDiCaL version: 2.1.3
% 8.38/1.74 % (252352)Termination reason: Instruction limit
% 8.38/1.74 % (252352)Termination phase: Saturation
% 8.38/1.74 % (252352)Time elapsed: 0.030 s
% 8.38/1.74 % (252352)Peak memory usage: 89 MB
% 8.38/1.74 % (252352)Instructions burned: 107 (million)
% 8.38/1.74 % (252353)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1867995311:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 8.38/1.74 % (252350)Instruction limit reached!
% 8.38/1.74 % (252350)------------------------------
% 8.38/1.74 % (252350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.74 % (252350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.74 % (252350)CaDiCaL version: 2.1.3
% 8.38/1.74 % (252350)Termination reason: Instruction limit
% 8.38/1.74 % (252350)Termination phase: Saturation
% 8.38/1.74 % (252350)Time elapsed: 0.110 s
% 8.38/1.74 % (252350)Peak memory usage: 90 MB
% 8.38/1.74 % (252350)Instructions burned: 158 (million)
% 8.38/1.74 % (252353)Instruction limit reached!
% 8.38/1.74 % (252353)------------------------------
% 8.38/1.74 % (252353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.74 % (252353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.74 % (252353)CaDiCaL version: 2.1.3
% 8.38/1.74 % (252353)Termination reason: Instruction limit
% 8.38/1.74 % (252353)Termination phase: Saturation
% 8.38/1.74 % (252353)Time elapsed: 0.061 s
% 8.38/1.74 % (252353)Peak memory usage: 89 MB
% 8.38/1.74 % (252353)Instructions burned: 109 (million)
% 8.38/1.74 % (252357)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=894220738:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 8.38/1.74 % (252357)Instruction limit reached!
% 8.38/1.74 % (252357)------------------------------
% 8.38/1.74 % (252357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.74 % (252357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.74 % (252357)CaDiCaL version: 2.1.3
% 8.38/1.74 % (252357)Termination reason: Instruction limit
% 8.38/1.74 % (252357)Termination phase: Saturation
% 8.38/1.74 % (252357)Time elapsed: 0.083 s
% 8.38/1.74 % (252357)Peak memory usage: 89 MB
% 8.38/1.74 % (252357)Instructions burned: 243 (million)
% 8.38/1.74 % (252359)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2770846869:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 8.38/1.74 % (252361)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1834486737:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 8.38/1.74 % (252362)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1893556247:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 8.38/1.74 % (252361)Instruction limit reached!
% 8.38/1.74 % (252361)------------------------------
% 8.38/1.74 % (252361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.74 % (252361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.74 % (252361)CaDiCaL version: 2.1.3
% 8.38/1.74 % (252361)Termination reason: Instruction limit
% 8.38/1.74 % (252361)Termination phase: Saturation
% 8.38/1.74 % (252361)Time elapsed: 0.091 s
% 8.38/1.74 % (252361)Peak memory usage: 89 MB
% 8.38/1.74 % (252361)Instructions burned: 135 (million)
% 8.38/1.74 % (252362)Instruction limit reached!
% 8.38/1.74 % (252362)------------------------------
% 8.38/1.74 % (252362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.74 % (252362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.74 % (252362)CaDiCaL version: 2.1.3
% 8.38/1.74 % (252362)Termination reason: Instruction limit
% 8.38/1.74 % (252362)Termination phase: Saturation
% 8.38/1.74 % (252362)Time elapsed: 0.144 s
% 8.38/1.74 % (252362)Peak memory usage: 105 MB
% 8.38/1.74 % (252362)Instructions burned: 501 (million)
% 8.38/1.74 % (252366)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=622135901:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 8.38/1.74 % (252327)First to succeed.
% 8.38/1.74 % (252327)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-252321"
% 8.38/1.74 % (252367)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=136327334:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 8.38/1.74 % (252366)Instruction limit reached!
% 8.38/1.74 % (252366)------------------------------
% 8.38/1.74 % (252366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.74 % (252366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.74 % (252366)CaDiCaL version: 2.1.3
% 8.38/1.74 % (252366)Termination reason: Instruction limit
% 8.38/1.74 % (252366)Termination phase: Saturation
% 8.38/1.74 % (252366)Time elapsed: 0.110 s
% 8.38/1.74 % (252366)Peak memory usage: 93 MB
% 8.38/1.74 % (252366)Instructions burned: 193 (million)
% 8.38/1.74 % (252367)Instruction limit reached!
% 8.38/1.74 % (252367)------------------------------
% 8.38/1.74 % (252367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.74 % (252367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.74 % (252367)CaDiCaL version: 2.1.3
% 8.38/1.74 % (252367)Termination reason: Instruction limit
% 8.38/1.74 % (252367)Termination phase: Saturation
% 8.38/1.74 % (252367)Time elapsed: 0.092 s
% 8.38/1.74 % (252367)Peak memory usage: 90 MB
% 8.38/1.74 % (252367)Instructions burned: 265 (million)
% 8.38/1.74 % (252370)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2994393116:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 8.38/1.74 % (252371)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3308857652:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 8.38/1.74 % (252327)Refutation found. Thanks to Tanya!
% 8.38/1.74 % SZS status Unsatisfiable for theBenchmark
% 8.38/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 9.50/1.83 % (252327)------------------------------
% 9.50/1.83 % (252327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.50/1.83 % (252327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.83 % (252327)CaDiCaL version: 2.1.3
% 9.50/1.83 % (252327)Termination reason: Refutation
% 9.50/1.83 % (252327)Time elapsed: 0.907 s
% 9.50/1.83 % (252327)Peak memory usage: 127 MB
% 9.50/1.83 % (252327)Instructions burned: 1404 (million)
% 9.50/1.83 % (252327)------------------------------
% 9.50/1.83 % (252327)------------------------------
% 9.50/1.84 % (252321)Success in time 1.3 s
% 9.50/1.84 % Vampire exiting
%------------------------------------------------------------------------------