%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD045-3 : 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 : 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 11.70s 4.15s
% Output : Refutation 26.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 95 ( 82 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 55 ( 29 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 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(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/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).
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(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_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(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/sandbox2/benchmark/theBenchmark.p',distributivity_2) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f16,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f19,axiom,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_addition) ).
fof(f20,axiom,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_multiplication) ).
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,
~ product(a,b,multiply(additive_inverse(a),additive_inverse(b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_3) ).
fof(f31,plain,
sum(additive_inverse(b),b,additive_identity),
inference(unit_resulting_resolution,[],[f4,f28]) ).
fof(f32,plain,
defined(additive_inverse(b)),
inference(unit_resulting_resolution,[],[f15,f28]) ).
fof(f41,plain,
sum(additive_inverse(a),a,additive_identity),
inference(unit_resulting_resolution,[],[f4,f27]) ).
fof(f42,plain,
defined(additive_inverse(a)),
inference(unit_resulting_resolution,[],[f15,f27]) ).
fof(f43,plain,
product(b,a,multiply(b,a)),
inference(unit_resulting_resolution,[],[f20,f28,f27]) ).
fof(f44,plain,
product(additive_inverse(b),a,multiply(additive_inverse(b),a)),
inference(unit_resulting_resolution,[],[f20,f32,f27]) ).
fof(f45,plain,
product(a,a,multiply(a,a)),
inference(unit_resulting_resolution,[],[f20,f27,f27]) ).
fof(f46,plain,
product(a,b,multiply(a,b)),
inference(unit_resulting_resolution,[],[f20,f28,f27]) ).
fof(f51,plain,
product(b,additive_inverse(a),multiply(b,additive_inverse(a))),
inference(unit_resulting_resolution,[],[f20,f28,f42]) ).
fof(f52,plain,
product(additive_inverse(b),additive_inverse(a),multiply(additive_inverse(b),additive_inverse(a))),
inference(unit_resulting_resolution,[],[f20,f32,f42]) ).
fof(f56,plain,
product(additive_inverse(a),additive_inverse(b),multiply(additive_inverse(a),additive_inverse(b))),
inference(unit_resulting_resolution,[],[f20,f32,f42]) ).
fof(f58,plain,
product(additive_inverse(a),a,multiply(additive_inverse(a),a)),
inference(unit_resulting_resolution,[],[f20,f27,f42]) ).
fof(f67,plain,
defined(multiply(additive_inverse(b),a)),
inference(unit_resulting_resolution,[],[f16,f27,f32]) ).
fof(f76,plain,
product(multiplicative_identity,b,b),
inference(unit_resulting_resolution,[],[f8,f28]) ).
fof(f79,plain,
product(multiplicative_identity,a,a),
inference(unit_resulting_resolution,[],[f8,f27]) ).
fof(f94,plain,
sum(additive_identity,b,b),
inference(unit_resulting_resolution,[],[f3,f28]) ).
fof(f95,plain,
sum(additive_identity,additive_inverse(b),additive_inverse(b)),
inference(unit_resulting_resolution,[],[f3,f32]) ).
fof(f96,plain,
sum(additive_identity,additive_inverse(a),additive_inverse(a)),
inference(unit_resulting_resolution,[],[f3,f42]) ).
fof(f97,plain,
sum(additive_identity,a,a),
inference(unit_resulting_resolution,[],[f3,f27]) ).
fof(f106,plain,
product(a,b,multiply(b,a)),
inference(unit_resulting_resolution,[],[f10,f43]) ).
fof(f142,plain,
product(b,a,multiply(a,b)),
inference(unit_resulting_resolution,[],[f10,f46]) ).
fof(f156,plain,
sum(b,additive_inverse(b),additive_identity),
inference(unit_resulting_resolution,[],[f5,f31]) ).
fof(f157,plain,
sum(a,additive_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f5,f41]) ).
fof(f164,plain,
sum(additive_inverse(b),additive_identity,additive_inverse(b)),
inference(unit_resulting_resolution,[],[f5,f95]) ).
fof(f166,plain,
sum(additive_inverse(a),additive_identity,additive_inverse(a)),
inference(unit_resulting_resolution,[],[f5,f96]) ).
fof(f197,plain,
product(a,additive_inverse(a),multiply(additive_inverse(a),a)),
inference(unit_resulting_resolution,[],[f10,f58]) ).
fof(f225,plain,
product(a,additive_inverse(b),multiply(additive_inverse(b),a)),
inference(unit_resulting_resolution,[],[f10,f44]) ).
fof(f307,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f3,f14]) ).
fof(f334,plain,
product(additive_inverse(a),additive_identity,multiply(additive_inverse(a),additive_identity)),
inference(unit_resulting_resolution,[],[f20,f42,f14]) ).
fof(f337,plain,
product(a,additive_identity,multiply(a,additive_identity)),
inference(unit_resulting_resolution,[],[f20,f27,f14]) ).
fof(f338,plain,
product(b,additive_identity,multiply(b,additive_identity)),
inference(unit_resulting_resolution,[],[f20,f28,f14]) ).
fof(f345,plain,
product(additive_identity,b,multiply(b,additive_identity)),
inference(unit_resulting_resolution,[],[f10,f338]) ).
fof(f353,plain,
~ sum(multiply(b,additive_identity),multiply(b,a),multiply(additive_inverse(a),additive_inverse(b))),
inference(unit_resulting_resolution,[],[f12,f29,f97,f106,f345]) ).
fof(f363,plain,
product(additive_identity,additive_inverse(a),multiply(additive_inverse(a),additive_identity)),
inference(unit_resulting_resolution,[],[f10,f334]) ).
fof(f377,plain,
product(additive_identity,a,multiply(a,additive_identity)),
inference(unit_resulting_resolution,[],[f10,f337]) ).
fof(f531,plain,
sum(b,a,add(b,a)),
inference(unit_resulting_resolution,[],[f19,f27,f28]) ).
fof(f688,plain,
sum(multiply(additive_inverse(b),a),multiply(a,b),multiply(a,additive_identity)),
inference(unit_resulting_resolution,[],[f11,f142,f44,f31,f377]) ).
fof(f712,plain,
sum(multiply(additive_inverse(a),additive_identity),multiply(additive_inverse(a),a),multiply(additive_inverse(a),a)),
inference(unit_resulting_resolution,[],[f11,f197,f97,f363,f197]) ).
fof(f754,plain,
product(additive_inverse(a),b,multiply(b,additive_inverse(a))),
inference(unit_resulting_resolution,[],[f10,f51]) ).
fof(f908,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f3,f17]) ).
fof(f1059,plain,
sum(multiply(a,additive_identity),a,a),
inference(unit_resulting_resolution,[],[f11,f79,f377,f79,f908]) ).
fof(f1060,plain,
sum(multiply(b,additive_identity),b,b),
inference(unit_resulting_resolution,[],[f11,f76,f345,f76,f908]) ).
fof(f1128,plain,
sum(a,b,add(b,a)),
inference(unit_resulting_resolution,[],[f5,f531]) ).
fof(f1131,plain,
sum(additive_inverse(a),add(b,a),b),
inference(unit_resulting_resolution,[],[f1,f41,f94,f1128]) ).
fof(f1269,plain,
sum(multiply(a,additive_identity),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f157,f157,f1059]) ).
fof(f1293,plain,
sum(additive_identity,multiply(a,additive_identity),additive_identity),
inference(unit_resulting_resolution,[],[f5,f1269]) ).
fof(f1456,plain,
product(additive_inverse(a),additive_inverse(b),multiply(additive_inverse(b),additive_inverse(a))),
inference(unit_resulting_resolution,[],[f10,f52]) ).
fof(f1539,plain,
product(additive_inverse(b),additive_inverse(a),multiply(additive_inverse(a),additive_inverse(b))),
inference(unit_resulting_resolution,[],[f10,f56]) ).
fof(f1593,plain,
sum(multiply(b,additive_identity),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f156,f156,f1060]) ).
fof(f1625,plain,
sum(additive_identity,multiply(b,additive_identity),additive_identity),
inference(unit_resulting_resolution,[],[f5,f1593]) ).
fof(f2514,plain,
sum(additive_identity,multiply(additive_inverse(b),a),multiply(additive_inverse(b),a)),
inference(unit_resulting_resolution,[],[f3,f67]) ).
fof(f2634,plain,
sum(multiply(additive_inverse(b),a),additive_identity,multiply(additive_inverse(b),a)),
inference(unit_resulting_resolution,[],[f5,f2514]) ).
fof(f4014,plain,
sum(multiply(additive_inverse(b),a),multiply(a,b),additive_identity),
inference(unit_resulting_resolution,[],[f2,f2514,f688,f1293]) ).
fof(f4270,plain,
product(additive_identity,a,additive_identity),
inference(unit_resulting_resolution,[],[f12,f31,f142,f44,f4014]) ).
fof(f4317,plain,
product(a,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f10,f4270]) ).
fof(f4329,plain,
sum(multiply(additive_inverse(a),a),multiply(a,a),additive_identity),
inference(unit_resulting_resolution,[],[f11,f45,f58,f41,f4270]) ).
fof(f4331,plain,
sum(multiply(additive_inverse(b),a),multiply(b,a),additive_identity),
inference(unit_resulting_resolution,[],[f11,f43,f44,f31,f4270]) ).
fof(f4469,plain,
product(add(b,a),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f1625,f338,f1128,f4317]) ).
fof(f4817,plain,
sum(multiply(additive_inverse(a),additive_identity),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f4329,f712,f4329]) ).
fof(f5101,plain,
product(additive_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f4317,f41,f334,f4817]) ).
fof(f5104,plain,
product(b,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f4469,f1131,f334,f4817]) ).
fof(f5162,plain,
product(additive_identity,b,additive_identity),
inference(unit_resulting_resolution,[],[f10,f5104]) ).
fof(f5315,plain,
sum(multiply(b,a),multiply(b,additive_inverse(a)),additive_identity),
inference(unit_resulting_resolution,[],[f11,f106,f754,f157,f5162]) ).
fof(f5322,plain,
sum(additive_identity,additive_identity,multiply(b,additive_identity)),
inference(unit_resulting_resolution,[],[f11,f5162,f345,f307,f5162]) ).
fof(f5336,plain,
sum(additive_identity,multiply(b,additive_inverse(a)),multiply(b,additive_inverse(a))),
inference(unit_resulting_resolution,[],[f11,f754,f754,f96,f5162]) ).
fof(f5563,plain,
product(additive_inverse(a),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f4817,f334,f166,f5101]) ).
fof(f5641,plain,
product(additive_identity,additive_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f10,f5563]) ).
fof(f5896,plain,
sum(multiply(b,additive_inverse(a)),multiply(additive_inverse(a),additive_inverse(b)),additive_identity),
inference(unit_resulting_resolution,[],[f11,f1539,f156,f51,f5641]) ).
fof(f5923,plain,
sum(multiply(additive_inverse(b),additive_inverse(a)),additive_identity,multiply(additive_inverse(a),additive_inverse(b))),
inference(unit_resulting_resolution,[],[f11,f1539,f164,f52,f5641]) ).
fof(f7794,plain,
sum(multiply(additive_inverse(b),a),additive_identity,multiply(b,additive_inverse(a))),
inference(unit_resulting_resolution,[],[f1,f4331,f5315,f5336]) ).
fof(f7837,plain,
~ sum(multiply(additive_inverse(b),additive_inverse(a)),multiply(additive_inverse(b),a),multiply(b,additive_identity)),
inference(unit_resulting_resolution,[],[f2,f4331,f353,f5923]) ).
fof(f13167,plain,
product(additive_inverse(b),a,multiply(b,additive_inverse(a))),
inference(unit_resulting_resolution,[],[f12,f4270,f164,f44,f7794]) ).
fof(f13194,plain,
product(a,additive_inverse(b),multiply(b,additive_inverse(a))),
inference(unit_resulting_resolution,[],[f10,f13167]) ).
fof(f13327,plain,
product(additive_identity,additive_inverse(b),additive_identity),
inference(unit_resulting_resolution,[],[f12,f157,f56,f5896,f13194]) ).
fof(f13613,plain,
sum(multiply(additive_inverse(b),additive_inverse(a)),multiply(additive_inverse(b),a),additive_identity),
inference(unit_resulting_resolution,[],[f11,f225,f41,f1456,f13327]) ).
fof(f14221,plain,
sum(multiply(additive_inverse(b),additive_inverse(a)),multiply(additive_inverse(b),a),multiply(b,additive_identity)),
inference(unit_resulting_resolution,[],[f1,f5322,f2634,f13613]) ).
fof(f14269,plain,
$false,
inference(forward_subsumption_resolution,[],[f14221,f7837]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD045-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n014.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 00:36:45 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 14.26/2.55 % (2335237)Input is clausal, will run a generic CNF schedule.
% 14.26/2.55 % (2335321)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1363029887:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 14.26/2.55 % (2335315)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=325695682:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 14.26/2.55 % (2335313)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=2228687326:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 14.26/2.55 % (2335318)lrs+10_1_sil=8000:sp=occurrence:random_seed=4050984451:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 14.26/2.55 % (2335317)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1100108927:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 14.26/2.55 % (2335319)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2124298517:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 14.26/2.55 % (2335322)dis-21_1_sil=8000:lcm=predicate:random_seed=589126631: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)
% 14.26/2.55 % (2335321)Instruction limit reached!
% 14.26/2.55 % (2335321)------------------------------
% 14.26/2.55 % (2335321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.26/2.55 % (2335321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/2.55 % (2335321)CaDiCaL version: 2.1.3
% 14.26/2.55 % (2335321)Termination reason: Instruction limit
% 14.26/2.55 % (2335321)Termination phase: Saturation
% 14.26/2.55 % (2335321)Time elapsed: 0.058 s
% 14.26/2.55 % (2335321)Peak memory usage: 89 MB
% 14.26/2.55 % (2335321)Instructions burned: 181 (million)
% 14.26/2.55 % (2335322)Instruction limit reached!
% 14.26/2.55 % (2335322)------------------------------
% 14.26/2.55 % (2335322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.26/2.55 % (2335322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/2.55 % (2335322)CaDiCaL version: 2.1.3
% 14.26/2.55 % (2335322)Termination reason: Instruction limit
% 14.26/2.55 % (2335322)Termination phase: Saturation
% 14.26/2.55 % (2335322)Time elapsed: 0.038 s
% 14.26/2.55 % (2335322)Peak memory usage: 88 MB
% 14.26/2.55 % (2335322)Instructions burned: 118 (million)
% 14.26/2.55 % (2335318)Instruction limit reached!
% 14.26/2.55 % (2335318)------------------------------
% 14.26/2.55 % (2335318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.26/2.55 % (2335318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/2.55 % (2335318)CaDiCaL version: 2.1.3
% 14.26/2.55 % (2335318)Termination reason: Instruction limit
% 14.26/2.55 % (2335318)Termination phase: Saturation
% 14.26/2.55 % (2335318)Time elapsed: 0.079 s
% 14.26/2.55 % (2335318)Peak memory usage: 89 MB
% 14.26/2.55 % (2335318)Instructions burned: 108 (million)
% 14.26/2.55 % (2335319)Instruction limit reached!
% 14.26/2.55 % (2335319)------------------------------
% 14.26/2.55 % (2335319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.26/2.55 % (2335319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/2.55 % (2335319)CaDiCaL version: 2.1.3
% 14.26/2.55 % (2335319)Termination reason: Instruction limit
% 14.26/2.55 % (2335319)Termination phase: Saturation
% 14.26/2.55 % (2335319)Time elapsed: 0.073 s
% 14.26/2.55 % (2335319)Peak memory usage: 88 MB
% 14.26/2.55 % (2335319)Instructions burned: 114 (million)
% 14.26/2.55 % (2335372)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=420680551: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)
% 14.26/2.55 % (2335363)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=3817472708:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 14.26/2.55 % (2335363)Refutation not found, incomplete strategy
% 14.26/2.55 % (2335363)------------------------------
% 14.26/2.55 % (2335363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.26/2.55 % (2335363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/2.55 % (2335363)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335363)Termination reason: Refutation not found, incomplete strategy
% 11.70/4.15 % (2335363)Time elapsed: 0.002 s
% 11.70/4.15 % (2335363)Peak memory usage: 87 MB
% 11.70/4.15 % (2335372)Instruction limit reached!
% 11.70/4.15 % (2335372)------------------------------
% 11.70/4.15 % (2335372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335372)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335372)Termination reason: Instruction limit
% 11.70/4.15 % (2335372)Termination phase: Saturation
% 11.70/4.15 % (2335372)Time elapsed: 0.086 s
% 11.70/4.15 % (2335372)Peak memory usage: 93 MB
% 11.70/4.15 % (2335372)Instructions burned: 190 (million)
% 11.70/4.15 % (2335389)lrs+10_64_to=lpo:sil=8000:random_seed=776688175:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.70/4.15 % (2335383)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4279404389:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.70/4.15 % (2335389)Instruction limit reached!
% 11.70/4.15 % (2335389)------------------------------
% 11.70/4.15 % (2335389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335389)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335389)Termination reason: Instruction limit
% 11.70/4.15 % (2335389)Termination phase: Saturation
% 11.70/4.15 % (2335389)Time elapsed: 0.118 s
% 11.70/4.15 % (2335389)Peak memory usage: 89 MB
% 11.70/4.15 % (2335389)Instructions burned: 126 (million)
% 11.70/4.15 % (2335383)Instruction limit reached!
% 11.70/4.15 % (2335383)------------------------------
% 11.70/4.15 % (2335383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335400)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=93704229:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 11.70/4.15 % (2335383)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335383)Termination reason: Instruction limit
% 11.70/4.15 % (2335383)Termination phase: Saturation
% 11.70/4.15 % (2335383)Time elapsed: 0.221 s
% 11.70/4.15 % (2335383)Peak memory usage: 89 MB
% 11.70/4.15 % (2335383)Instructions burned: 220 (million)
% 11.70/4.15 % (2335363)------------------------------
% 11.70/4.15 % (2335363)------------------------------
% 11.70/4.15 % (2335400)Instruction limit reached!
% 11.70/4.15 % (2335400)------------------------------
% 11.70/4.15 % (2335400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335400)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335400)Termination reason: Instruction limit
% 11.70/4.15 % (2335400)Termination phase: Saturation
% 11.70/4.15 % (2335400)Time elapsed: 0.110 s
% 11.70/4.15 % (2335400)Peak memory usage: 89 MB
% 11.70/4.15 % (2335400)Instructions burned: 194 (million)
% 11.70/4.15 % (2335407)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1328418260:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 11.70/4.15 % (2335409)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=770885182:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 11.70/4.15 % (2335411)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=647428199:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 11.70/4.15 % (2335411)Refutation not found, incomplete strategy
% 11.70/4.15 % (2335411)------------------------------
% 11.70/4.15 % (2335411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335411)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335411)Termination reason: Refutation not found, incomplete strategy
% 11.70/4.15 % (2335411)Time elapsed: 0.001 s
% 11.70/4.15 % (2335411)Peak memory usage: 87 MB
% 11.70/4.15 % (2335410)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=3502027570:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 11.70/4.15 % (2335407)Instruction limit reached!
% 11.70/4.15 % (2335407)------------------------------
% 11.70/4.15 % (2335407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335407)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335407)Termination reason: Instruction limit
% 11.70/4.15 % (2335407)Termination phase: Saturation
% 11.70/4.15 % (2335407)Time elapsed: 0.173 s
% 11.70/4.15 % (2335407)Peak memory usage: 90 MB
% 11.70/4.15 % (2335407)Instructions burned: 158 (million)
% 11.70/4.15 % (2335410)Instruction limit reached!
% 11.70/4.15 % (2335410)------------------------------
% 11.70/4.15 % (2335410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335410)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335410)Termination reason: Instruction limit
% 11.70/4.15 % (2335410)Termination phase: Saturation
% 11.70/4.15 % (2335410)Time elapsed: 0.093 s
% 11.70/4.15 % (2335410)Peak memory usage: 90 MB
% 11.70/4.15 % (2335410)Instructions burned: 107 (million)
% 11.70/4.15 % (2335411)------------------------------
% 11.70/4.15 % (2335411)------------------------------
% 11.70/4.15 % (2335422)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1978404799:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 11.70/4.15 % (2335423)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=813229662:cond=fast:i=5208:av=off_2988 on theBenchmark for (2988ds/5208Mi)
% 11.70/4.15 % (2335426)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2261289238:i=134:sd=2:doe=on:ss=axioms:sgt=14_2987 on theBenchmark for (2987ds/134Mi)
% 11.70/4.15 % (2335426)Instruction limit reached!
% 11.70/4.15 % (2335426)------------------------------
% 11.70/4.15 % (2335426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335426)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335426)Termination reason: Instruction limit
% 11.70/4.15 % (2335426)Termination phase: Saturation
% 11.70/4.15 % (2335426)Time elapsed: 0.076 s
% 11.70/4.15 % (2335426)Peak memory usage: 89 MB
% 11.70/4.15 % (2335426)Instructions burned: 135 (million)
% 11.70/4.15 % (2335422)Instruction limit reached!
% 11.70/4.15 % (2335422)------------------------------
% 11.70/4.15 % (2335422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335422)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335422)Termination reason: Instruction limit
% 11.70/4.15 % (2335422)Termination phase: Saturation
% 11.70/4.15 % (2335422)Time elapsed: 0.254 s
% 11.70/4.15 % (2335422)Peak memory usage: 89 MB
% 11.70/4.15 % (2335422)Instructions burned: 243 (million)
% 11.70/4.15 % (2335430)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2301441917:i=499:bd=all_2984 on theBenchmark for (2984ds/499Mi)
% 11.70/4.15 % (2335430)Instruction limit reached!
% 11.70/4.15 % (2335430)------------------------------
% 11.70/4.15 % (2335430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335430)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335430)Termination reason: Instruction limit
% 11.70/4.15 % (2335430)Termination phase: Saturation
% 11.70/4.15 % (2335430)Time elapsed: 0.205 s
% 11.70/4.15 % (2335430)Peak memory usage: 103 MB
% 11.70/4.15 % (2335430)Instructions burned: 500 (million)
% 11.70/4.15 % (2335431)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2124733603:i=191:fgj=on:bd=all_2983 on theBenchmark for (2983ds/191Mi)
% 11.70/4.15 % (2335437)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3634422056:i=264:kws=precedence:fsr=off_2981 on theBenchmark for (2981ds/264Mi)
% 11.70/4.15 % (2335431)Instruction limit reached!
% 11.70/4.15 % (2335431)------------------------------
% 11.70/4.15 % (2335431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335431)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335431)Termination reason: Instruction limit
% 11.70/4.15 % (2335431)Termination phase: Saturation
% 11.70/4.15 % (2335431)Time elapsed: 0.188 s
% 11.70/4.15 % (2335431)Peak memory usage: 91 MB
% 11.70/4.15 % (2335431)Instructions burned: 191 (million)
% 11.70/4.15 % (2335437)Instruction limit reached!
% 11.70/4.15 % (2335437)------------------------------
% 11.70/4.15 % (2335437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335437)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335437)Termination reason: Instruction limit
% 11.70/4.15 % (2335437)Termination phase: Saturation
% 11.70/4.15 % (2335437)Time elapsed: 0.133 s
% 11.70/4.15 % (2335437)Peak memory usage: 90 MB
% 11.70/4.15 % (2335437)Instructions burned: 265 (million)
% 11.70/4.15 % (2335444)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3029647945:cond=on:i=156:bs=on:gtg=exists_all:er=known_2978 on theBenchmark for (2978ds/156Mi)
% 11.70/4.15 % (2335445)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=1743016087:i=3256:kws=precedence:bd=preordered:av=off_2977 on theBenchmark for (2977ds/3256Mi)
% 11.70/4.15 % (2335444)Instruction limit reached!
% 11.70/4.15 % (2335444)------------------------------
% 11.70/4.15 % (2335444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335444)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335444)Termination reason: Instruction limit
% 11.70/4.15 % (2335444)Termination phase: Saturation
% 11.70/4.15 % (2335444)Time elapsed: 0.166 s
% 11.70/4.15 % (2335444)Peak memory usage: 89 MB
% 11.70/4.15 % (2335444)Instructions burned: 157 (million)
% 11.70/4.15 % (2335448)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=865719264:i=537:av=off:ss=included_2974 on theBenchmark for (2974ds/537Mi)
% 11.70/4.15 % (2335315)First to succeed.
% 11.70/4.15 % (2335315)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2335237"
% 11.70/4.15 % (2335448)Instruction limit reached!
% 11.70/4.15 % (2335448)------------------------------
% 11.70/4.15 % (2335448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/4.15 % (2335448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/4.15 % (2335448)CaDiCaL version: 2.1.3
% 11.70/4.15 % (2335448)Termination reason: Instruction limit
% 11.70/4.15 % (2335448)Termination phase: Saturation
% 11.70/4.15 % (2335448)Time elapsed: 0.511 s
% 11.70/4.15 % (2335448)Peak memory usage: 91 MB
% 11.70/4.15 % (2335448)Instructions burned: 537 (million)
% 11.70/4.15 % (2335315)Refutation found. Thanks to Tanya!
% 11.70/4.15 % SZS status Unsatisfiable for theBenchmark
% 11.70/4.15 % SZS output start Proof for theBenchmark
% See solution above
% 26.76/4.38 % (2335315)------------------------------
% 26.76/4.38 % (2335315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.76/4.38 % (2335315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.76/4.38 % (2335315)CaDiCaL version: 2.1.3
% 26.76/4.38 % (2335315)Termination reason: Refutation
% 26.76/4.38 % (2335315)Time elapsed: 3.137 s
% 26.76/4.38 % (2335315)Peak memory usage: 144 MB
% 26.76/4.38 % (2335315)Instructions burned: 3198 (million)
% 26.76/4.38 % (2335315)------------------------------
% 26.76/4.38 % (2335315)------------------------------
% 26.76/4.38 % (2335237)Success in time 3.737 s
% 26.76/4.38 % Vampire exiting
%------------------------------------------------------------------------------