%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD048-4 : 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 : n018.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 09:49:12 AM UTC 2026
% Result : Unsatisfiable 0.21s 2.60s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 26
% Syntax : Number of formulae : 57 ( 46 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 51 ( 29 ~; 22 |; 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 : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 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(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(f20,axiom,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_multiplication) ).
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(f33,axiom,
defined(l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_is_defined) ).
fof(f34,axiom,
defined(s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_is_defined) ).
fof(f35,axiom,
defined(t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_is_defined) ).
fof(f36,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_10) ).
fof(f37,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_11) ).
fof(f38,negated_conjecture,
product(s,t,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_12) ).
fof(f39,negated_conjecture,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_13) ).
fof(f40,negated_conjecture,
product(c,multiplicative_inverse(d),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_14) ).
fof(f41,negated_conjecture,
product(a,c,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_15) ).
fof(f42,negated_conjecture,
product(b,d,l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_16) ).
fof(f43,negated_conjecture,
~ product(k,multiplicative_inverse(l),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_17) ).
fof(f44,plain,
product(multiplicative_inverse(b),a,s),
inference(unit_resulting_resolution,[],[f10,f39]) ).
fof(f45,plain,
product(multiplicative_inverse(d),c,t),
inference(unit_resulting_resolution,[],[f10,f40]) ).
fof(f47,plain,
product(d,b,l),
inference(unit_resulting_resolution,[],[f10,f42]) ).
fof(f48,plain,
product(t,s,u),
inference(unit_resulting_resolution,[],[f10,f38]) ).
fof(f54,plain,
~ product(multiplicative_inverse(l),k,u),
inference(unit_resulting_resolution,[],[f10,f43]) ).
fof(f55,plain,
sum(additive_identity,l,l),
inference(unit_resulting_resolution,[],[f3,f33]) ).
fof(f58,plain,
sum(additive_inverse(l),l,additive_identity),
inference(unit_resulting_resolution,[],[f4,f33]) ).
fof(f60,plain,
product(multiplicative_identity,t,t),
inference(unit_resulting_resolution,[],[f8,f35]) ).
fof(f62,plain,
product(multiplicative_identity,u,u),
inference(unit_resulting_resolution,[],[f6,f48,f48,f60]) ).
fof(f77,plain,
product(multiplicative_identity,a,a),
inference(unit_resulting_resolution,[],[f8,f27]) ).
fof(f106,plain,
sum(additive_inverse(b),b,additive_identity),
inference(unit_resulting_resolution,[],[f4,f28]) ).
fof(f107,plain,
product(multiplicative_identity,b,b),
inference(unit_resulting_resolution,[],[f8,f28]) ).
fof(f109,plain,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference(unit_resulting_resolution,[],[f9,f36,f28]) ).
fof(f110,plain,
product(b,multiplicative_inverse(b),multiplicative_identity),
inference(unit_resulting_resolution,[],[f10,f109]) ).
fof(f114,plain,
product(b,s,a),
inference(unit_resulting_resolution,[],[f6,f77,f44,f110]) ).
fof(f130,plain,
product(multiplicative_inverse(d),d,multiplicative_identity),
inference(unit_resulting_resolution,[],[f9,f37,f30]) ).
fof(f131,plain,
product(multiplicative_inverse(d),l,b),
inference(unit_resulting_resolution,[],[f6,f107,f47,f130]) ).
fof(f137,plain,
product(l,multiplicative_inverse(d),b),
inference(unit_resulting_resolution,[],[f10,f131]) ).
fof(f364,plain,
sum(l,additive_inverse(l),additive_identity),
inference(unit_resulting_resolution,[],[f5,f58]) ).
fof(f523,plain,
~ sum(b,b,b),
inference(unit_resulting_resolution,[],[f2,f36,f106,f106]) ).
fof(f630,plain,
product(c,s,multiply(c,s)),
inference(unit_resulting_resolution,[],[f20,f34,f29]) ).
fof(f963,plain,
sum(l,additive_identity,l),
inference(unit_resulting_resolution,[],[f1,f58,f364,f55]) ).
fof(f1407,plain,
~ sum(l,l,l),
inference(unit_resulting_resolution,[],[f11,f137,f137,f137,f523]) ).
fof(f1418,plain,
~ sum(additive_identity,l,additive_identity),
inference(unit_resulting_resolution,[],[f2,f963,f963,f1407]) ).
fof(f4550,plain,
product(multiplicative_inverse(d),multiply(c,s),u),
inference(unit_resulting_resolution,[],[f6,f45,f48,f630]) ).
fof(f4565,plain,
product(s,c,multiply(c,s)),
inference(unit_resulting_resolution,[],[f10,f630]) ).
fof(f4570,plain,
product(b,multiply(c,s),k),
inference(unit_resulting_resolution,[],[f6,f114,f41,f4565]) ).
fof(f6474,plain,
product(l,u,k),
inference(unit_resulting_resolution,[],[f6,f137,f4550,f4570]) ).
fof(f6500,plain,
~ product(multiplicative_inverse(l),l,multiplicative_identity),
inference(unit_resulting_resolution,[],[f6,f54,f62,f6474]) ).
fof(f6606,plain,
sum(additive_identity,l,additive_identity),
inference(unit_resulting_resolution,[],[f9,f33,f6500]) ).
fof(f6613,plain,
$false,
inference(forward_subsumption_resolution,[],[f6606,f1418]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD048-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n018.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 00:41:11 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 9.98/2.11 % (3945086)Input is clausal, will run a generic CNF schedule.
% 9.98/2.11 % (3945094)lrs+10_1_sil=8000:sp=occurrence:random_seed=1607441976:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.98/2.11 % (3945096)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2009324806:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.98/2.11 % (3945092)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4103321768:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.98/2.11 % (3945093)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=909004821:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.98/2.11 % (3945091)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=3251044909:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.98/2.11 % (3945094)Instruction limit reached!
% 9.98/2.11 % (3945094)------------------------------
% 9.98/2.11 % (3945094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.11 % (3945094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.11 % (3945094)CaDiCaL version: 2.1.3
% 9.98/2.11 % (3945094)Termination reason: Instruction limit
% 9.98/2.11 % (3945094)Termination phase: Saturation
% 9.98/2.11 % (3945094)Time elapsed: 0.037 s
% 9.98/2.11 % (3945094)Peak memory usage: 90 MB
% 9.98/2.11 % (3945094)Instructions burned: 109 (million)
% 9.98/2.11 % (3945095)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=176780175:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.98/2.11 % (3945097)dis-21_1_sil=8000:lcm=predicate:random_seed=3757949245: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)
% 9.98/2.11 % (3945095)Instruction limit reached!
% 9.98/2.11 % (3945095)------------------------------
% 9.98/2.11 % (3945095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.11 % (3945095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.11 % (3945095)CaDiCaL version: 2.1.3
% 9.98/2.11 % (3945095)Termination reason: Instruction limit
% 9.98/2.11 % (3945095)Termination phase: Saturation
% 9.98/2.11 % (3945095)Time elapsed: 0.067 s
% 9.98/2.11 % (3945095)Peak memory usage: 88 MB
% 9.98/2.11 % (3945095)Instructions burned: 115 (million)
% 9.98/2.11 % (3945097)Instruction limit reached!
% 9.98/2.11 % (3945097)------------------------------
% 9.98/2.11 % (3945097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.11 % (3945097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.11 % (3945097)CaDiCaL version: 2.1.3
% 9.98/2.11 % (3945097)Termination reason: Instruction limit
% 9.98/2.11 % (3945097)Termination phase: Saturation
% 9.98/2.11 % (3945097)Time elapsed: 0.073 s
% 9.98/2.11 % (3945097)Peak memory usage: 90 MB
% 9.98/2.11 % (3945097)Instructions burned: 118 (million)
% 9.98/2.11 % (3945105)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=1578199019:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.98/2.11 % (3945096)Instruction limit reached!
% 9.98/2.11 % (3945096)------------------------------
% 9.98/2.11 % (3945096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.11 % (3945096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.11 % (3945096)CaDiCaL version: 2.1.3
% 9.98/2.11 % (3945096)Termination reason: Instruction limit
% 9.98/2.11 % (3945096)Termination phase: Saturation
% 9.98/2.11 % (3945096)Time elapsed: 0.106 s
% 9.98/2.11 % (3945096)Peak memory usage: 89 MB
% 9.98/2.11 % (3945096)Instructions burned: 181 (million)
% 9.98/2.11 % (3945105)Instruction limit reached!
% 9.98/2.11 % (3945105)------------------------------
% 9.98/2.11 % (3945105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.11 % (3945105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.11 % (3945105)CaDiCaL version: 2.1.3
% 9.98/2.11 % (3945105)Termination reason: Instruction limit
% 9.98/2.11 % (3945105)Termination phase: Saturation
% 9.98/2.11 % (3945105)Time elapsed: 0.043 s
% 9.98/2.11 % (3945105)Peak memory usage: 89 MB
% 9.98/2.11 % (3945105)Instructions burned: 144 (million)
% 9.98/2.11 % (3945106)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3951550815: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)
% 12.15/2.45 % (3945107)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2917941326:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 12.15/2.45 % (3945110)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1828841801:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 12.15/2.45 % (3945109)lrs+10_64_to=lpo:sil=8000:random_seed=702688286:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 12.15/2.45 % (3945106)Instruction limit reached!
% 12.15/2.45 % (3945106)------------------------------
% 12.15/2.45 % (3945106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3945106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3945106)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3945106)Termination reason: Instruction limit
% 12.15/2.45 % (3945106)Termination phase: Saturation
% 12.15/2.45 % (3945106)Time elapsed: 0.095 s
% 12.15/2.45 % (3945106)Peak memory usage: 93 MB
% 12.15/2.45 % (3945106)Instructions burned: 189 (million)
% 12.15/2.45 % (3945110)Instruction limit reached!
% 12.15/2.45 % (3945110)------------------------------
% 12.15/2.45 % (3945110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3945110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3945110)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3945110)Termination reason: Instruction limit
% 12.15/2.45 % (3945110)Termination phase: Saturation
% 12.15/2.45 % (3945110)Time elapsed: 0.070 s
% 12.15/2.45 % (3945110)Peak memory usage: 90 MB
% 12.15/2.45 % (3945110)Instructions burned: 195 (million)
% 12.15/2.45 % (3945109)Instruction limit reached!
% 12.15/2.45 % (3945109)------------------------------
% 12.15/2.45 % (3945109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3945109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3945109)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3945109)Termination reason: Instruction limit
% 12.15/2.45 % (3945109)Termination phase: Saturation
% 12.15/2.45 % (3945109)Time elapsed: 0.076 s
% 12.15/2.45 % (3945109)Peak memory usage: 89 MB
% 12.15/2.45 % (3945109)Instructions burned: 127 (million)
% 12.15/2.45 % (3945107)Instruction limit reached!
% 12.15/2.45 % (3945107)------------------------------
% 12.15/2.45 % (3945107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3945107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3945107)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3945107)Termination reason: Instruction limit
% 12.15/2.45 % (3945107)Termination phase: Saturation
% 12.15/2.45 % (3945107)Time elapsed: 0.134 s
% 12.15/2.45 % (3945107)Peak memory usage: 89 MB
% 12.15/2.45 % (3945107)Instructions burned: 219 (million)
% 12.15/2.45 % (3945116)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=341901998:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 12.15/2.45 % (3945115)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3456491312:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 12.15/2.45 % (3945117)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=2349371349:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 12.15/2.45 % (3945118)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1410720959:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 12.15/2.45 % (3945117)Instruction limit reached!
% 12.15/2.45 % (3945117)------------------------------
% 12.15/2.45 % (3945117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3945117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3945117)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3945117)Termination reason: Instruction limit
% 12.15/2.45 % (3945117)Termination phase: Saturation
% 12.15/2.45 % (3945117)Time elapsed: 0.054 s
% 12.15/2.45 % (3945117)Peak memory usage: 90 MB
% 12.15/2.45 % (3945117)Instructions burned: 107 (million)
% 12.15/2.45 % (3945115)Instruction limit reached!
% 12.15/2.45 % (3945115)------------------------------
% 12.15/2.45 % (3945115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3945115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3945115)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3945115)Termination reason: Instruction limit
% 12.15/2.45 % (3945115)Termination phase: Saturation
% 12.15/2.45 % (3945115)Time elapsed: 0.103 s
% 12.15/2.45 % (3945115)Peak memory usage: 91 MB
% 12.15/2.45 % (3945115)Instructions burned: 157 (million)
% 12.15/2.45 % (3945118)Instruction limit reached!
% 12.15/2.45 % (3945118)------------------------------
% 12.15/2.45 % (3945118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3945118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3945118)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3945118)Termination reason: Instruction limit
% 12.15/2.45 % (3945118)Termination phase: Saturation
% 12.15/2.45 % (3945118)Time elapsed: 0.071 s
% 12.15/2.45 % (3945118)Peak memory usage: 89 MB
% 12.15/2.45 % (3945118)Instructions burned: 107 (million)
% 12.15/2.45 % (3945123)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2665585953:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 12.15/2.45 % (3945124)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2969891631:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 12.15/2.45 % (3945125)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3488879438:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 12.15/2.45 % (3945125)Instruction limit reached!
% 12.15/2.45 % (3945125)------------------------------
% 12.15/2.45 % (3945125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3945125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3945125)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3945125)Termination reason: Instruction limit
% 12.15/2.45 % (3945125)Termination phase: Saturation
% 12.15/2.45 % (3945125)Time elapsed: 0.084 s
% 12.15/2.45 % (3945125)Peak memory usage: 89 MB
% 12.15/2.45 % (3945125)Instructions burned: 135 (million)
% 12.15/2.45 % (3945123)Instruction limit reached!
% 12.15/2.45 % (3945123)------------------------------
% 12.15/2.45 % (3945123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3945123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3945123)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3945123)Termination reason: Instruction limit
% 12.15/2.45 % (3945123)Termination phase: Saturation
% 12.15/2.45 % (3945123)Time elapsed: 0.149 s
% 12.15/2.45 % (3945123)Peak memory usage: 89 MB
% 12.15/2.45 % (3945123)Instructions burned: 242 (million)
% 12.15/2.45 % (3945129)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2595692147:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 12.15/2.45 % (3945130)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3842834554:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 12.15/2.45 % (3945130)Instruction limit reached!
% 12.15/2.45 % (3945130)------------------------------
% 12.15/2.45 % (3945130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3945130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3945130)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3945130)Termination reason: Instruction limit
% 12.15/2.45 % (3945130)Termination phase: Saturation
% 12.15/2.45 % (3945130)Time elapsed: 0.109 s
% 12.15/2.45 % (3945130)Peak memory usage: 93 MB
% 12.15/2.45 % (3945130)Instructions burned: 192 (million)
% 12.15/2.45 % (3945129)Instruction limit reached!
% 12.15/2.45 % (3945129)------------------------------
% 12.15/2.45 % (3945129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.45 % (3945129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.45 % (3945129)CaDiCaL version: 2.1.3
% 12.15/2.45 % (3945129)Termination reason: Instruction limit
% 12.15/2.45 % (3945129)Termination phase: Saturation
% 12.15/2.45 % (3945129)Time elapsed: 0.258 s
% 12.15/2.45 % (3945129)Peak memory usage: 105 MB
% 12.15/2.45 % (3945129)Instructions burned: 500 (million)
% 12.15/2.45 % (3945133)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3843576362:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 12.15/2.45 % (3945134)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4206341079:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 0.21/2.60 % (3945133)Instruction limit reached!
% 0.21/2.60 % (3945133)------------------------------
% 0.21/2.60 % (3945133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.60 % (3945133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.60 % (3945133)CaDiCaL version: 2.1.3
% 0.21/2.60 % (3945133)Termination reason: Instruction limit
% 0.21/2.60 % (3945133)Termination phase: Saturation
% 0.21/2.60 % (3945133)Time elapsed: 0.164 s
% 0.21/2.60 % (3945133)Peak memory usage: 89 MB
% 0.21/2.60 % (3945133)Instructions burned: 266 (million)
% 0.21/2.60 % (3945134)Instruction limit reached!
% 0.21/2.60 % (3945134)------------------------------
% 0.21/2.60 % (3945134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.60 % (3945134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.60 % (3945134)CaDiCaL version: 2.1.3
% 0.21/2.60 % (3945134)Termination reason: Instruction limit
% 0.21/2.60 % (3945134)Termination phase: Saturation
% 0.21/2.60 % (3945134)Time elapsed: 0.066 s
% 0.21/2.60 % (3945134)Peak memory usage: 88 MB
% 0.21/2.60 % (3945134)Instructions burned: 157 (million)
% 0.21/2.60 % (3945092)First to succeed.
% 0.21/2.60 % (3945092)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3945086"
% 0.21/2.60 % (3945137)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=152977893:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 0.21/2.60 % (3945138)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1764156009:i=537:av=off:ss=included_2985 on theBenchmark for (2985ds/537Mi)
% 0.21/2.60 % (3945116)Instruction limit reached!
% 0.21/2.60 % (3945116)------------------------------
% 0.21/2.60 % (3945116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.60 % (3945116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.60 % (3945116)CaDiCaL version: 2.1.3
% 0.21/2.60 % (3945116)Termination reason: Instruction limit
% 0.21/2.60 % (3945116)Termination phase: Saturation
% 0.21/2.60 % (3945116)Time elapsed: 1.219 s
% 0.21/2.60 % (3945116)Peak memory usage: 149 MB
% 0.21/2.60 % (3945116)Instructions burned: 3397 (million)
% 0.21/2.60 % (3945092)Refutation found. Thanks to Tanya!
% 0.21/2.60 % SZS status Unsatisfiable for theBenchmark
% 0.21/2.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/2.60 % (3945092)------------------------------
% 0.21/2.60 % (3945092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.60 % (3945092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.60 % (3945092)CaDiCaL version: 2.1.3
% 0.21/2.60 % (3945092)Termination reason: Refutation
% 0.21/2.60 % (3945092)Time elapsed: 1.360 s
% 0.21/2.60 % (3945092)Peak memory usage: 138 MB
% 0.21/2.60 % (3945092)Instructions burned: 2224 (million)
% 0.21/2.60 % (3945092)------------------------------
% 0.21/2.60 % (3945092)------------------------------
% 0.21/2.60 % (3945086)Success in time 1.769 s
% 0.21/2.60 % Vampire exiting
%------------------------------------------------------------------------------