%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE142+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:40:27 AM UTC 2026
% Result : Theorem 9.68s 2.27s
% Output : Refutation 10.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 81 ( 70 unt; 3 def)
% Number of atoms : 94 ( 65 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 10 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 106 ( 105 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f10,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(X2,addition(multiplication(X0,X2),X1))
=> leq(X2,multiplication(strong_iteration(X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infty_coinduction) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f19,conjecture,
! [X0] : strong_iteration(strong_iteration(X0)) = strong_iteration(one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0] : strong_iteration(strong_iteration(X0)) = strong_iteration(one),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f23,plain,
! [X0,X1,X2] :
( leq(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f24,plain,
? [X0] : strong_iteration(strong_iteration(X0)) != strong_iteration(one),
inference(ennf_transformation,[],[f20]) ).
fof(f25,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f26,plain,
strong_iteration(one) != strong_iteration(strong_iteration(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f24]) ).
fof(f27,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f33,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f41,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ leq(X2,addition(multiplication(X0,X2),X1))
| leq(X2,multiplication(strong_iteration(X0),X1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
strong_iteration(one) != strong_iteration(strong_iteration(sK0)),
inference(cnf_transformation,[],[f26]) ).
fof(f47,definition,
sF1 = strong_iteration(one),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f48,plain,
strong_iteration(one) = sF1,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF2 = strong_iteration(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f50,plain,
strong_iteration(sK0) = sF2,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF3 = strong_iteration(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f52,plain,
strong_iteration(sF2) = sF3,
inference(reorient_equations,[],[f51]) ).
fof(f53,plain,
sF1 != sF3,
inference(definition_folding,[],[f46,f52,f50,f48]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ leq(X2,addition(X0,multiplication(X1,X2)))
| leq(X2,multiplication(strong_iteration(X1),X0)) ),
inference(superposition,[],[f42,f27]) ).
fof(f89,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f35,f33]) ).
fof(f91,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f35,f33]) ).
fof(f106,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f28,f30]) ).
fof(f115,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),strong_iteration(X0)),
inference(superposition,[],[f106,f41]) ).
fof(f126,plain,
! [X0] : strong_iteration(X0) = multiplication(addition(X0,one),strong_iteration(X0)),
inference(forward_demodulation,[],[f115,f91]) ).
fof(f153,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f45,f106]) ).
fof(f159,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f153]) ).
fof(f192,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f159,f27]) ).
fof(f200,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f34,f32]) ).
fof(f276,plain,
! [X0,X1] : leq(X0,multiplication(strong_iteration(X1),X0)),
inference(resolution,[],[f68,f159]) ).
fof(f278,plain,
! [X0,X1] :
( ~ leq(X0,addition(X1,X0))
| leq(X0,multiplication(strong_iteration(one),X1)) ),
inference(superposition,[],[f68,f33]) ).
fof(f291,plain,
! [X0,X1] : leq(X0,multiplication(strong_iteration(one),X1)),
inference(forward_subsumption_resolution,[],[f278,f192]) ).
fof(f292,plain,
! [X0,X1] : leq(X0,multiplication(sF1,X1)),
inference(forward_demodulation,[],[f291,f48]) ).
fof(f294,plain,
! [X0] : leq(X0,sF1),
inference(superposition,[],[f292,f32]) ).
fof(f295,plain,
! [X0] : sF1 = addition(X0,sF1),
inference(resolution,[],[f294,f44]) ).
fof(f335,plain,
! [X0] : sF1 = addition(sF1,X0),
inference(superposition,[],[f27,f295]) ).
fof(f361,plain,
! [X0] : sF1 = multiplication(addition(one,X0),sF1),
inference(superposition,[],[f89,f335]) ).
fof(f366,plain,
! [X0] : leq(X0,multiplication(sF3,X0)),
inference(superposition,[],[f276,f52]) ).
fof(f367,plain,
! [X0] : leq(X0,multiplication(sF2,X0)),
inference(superposition,[],[f276,f50]) ).
fof(f435,plain,
! [X0] : multiplication(sF3,X0) = addition(X0,multiplication(sF3,X0)),
inference(resolution,[],[f366,f44]) ).
fof(f437,plain,
! [X0] : multiplication(sF3,X0) = multiplication(addition(one,sF3),X0),
inference(forward_demodulation,[],[f435,f89]) ).
fof(f489,plain,
! [X0] : strong_iteration(X0) = multiplication(addition(one,X0),strong_iteration(X0)),
inference(superposition,[],[f126,f27]) ).
fof(f614,plain,
sF1 = multiplication(sF3,sF1),
inference(superposition,[],[f437,f361]) ).
fof(f828,plain,
! [X0] : multiplication(sF2,X0) = addition(X0,multiplication(sF2,X0)),
inference(resolution,[],[f367,f44]) ).
fof(f830,plain,
! [X0] : multiplication(sF2,X0) = multiplication(addition(one,sF2),X0),
inference(forward_demodulation,[],[f828,f89]) ).
fof(f1561,plain,
strong_iteration(sF2) = multiplication(sF2,strong_iteration(sF2)),
inference(superposition,[],[f830,f489]) ).
fof(f1582,plain,
sF3 = multiplication(sF2,sF3),
inference(forward_demodulation,[],[f1561,f52]) ).
fof(f1606,plain,
! [X0] :
( ~ leq(sF3,addition(X0,sF3))
| leq(sF3,multiplication(strong_iteration(sF2),X0)) ),
inference(superposition,[],[f68,f1582]) ).
fof(f1616,plain,
! [X0] : leq(sF3,multiplication(strong_iteration(sF2),X0)),
inference(forward_subsumption_resolution,[],[f1606,f192]) ).
fof(f1623,plain,
! [X0] : leq(sF3,multiplication(sF3,X0)),
inference(forward_demodulation,[],[f1616,f52]) ).
fof(f5327,plain,
! [X0] : multiplication(sF3,X0) = addition(sF3,multiplication(sF3,X0)),
inference(resolution,[],[f1623,f44]) ).
fof(f5331,plain,
! [X0] : multiplication(sF3,X0) = multiplication(sF3,addition(one,X0)),
inference(forward_demodulation,[],[f5327,f200]) ).
fof(f5343,plain,
multiplication(sF3,zero) = multiplication(sF3,one),
inference(superposition,[],[f5331,f29]) ).
fof(f5381,plain,
sF3 = multiplication(sF3,zero),
inference(forward_demodulation,[],[f5343,f32]) ).
fof(f5400,plain,
! [X0] : multiplication(sF3,X0) = multiplication(sF3,multiplication(zero,X0)),
inference(superposition,[],[f31,f5381]) ).
fof(f5440,plain,
! [X0] : multiplication(sF3,zero) = multiplication(sF3,X0),
inference(forward_demodulation,[],[f5400,f36]) ).
fof(f5450,plain,
! [X0] : sF3 = multiplication(sF3,X0),
inference(forward_demodulation,[],[f5440,f5381]) ).
fof(f5458,plain,
sF1 = sF3,
inference(superposition,[],[f614,f5450]) ).
fof(f5516,plain,
$false,
inference(forward_subsumption_resolution,[],[f5458,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE142+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n015.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 13:15:16 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 9.68/2.27 % (1667982)Detected formulas, will run a generic FOF schedule.
% 9.68/2.27 % (1668074)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2695517804:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.68/2.27 % (1668073)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3863183012:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.68/2.27 % (1668070)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=797505602:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.68/2.27 % (1668071)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1844479215:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.68/2.27 % (1668069)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=3446990697:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.68/2.27 % (1668075)dis-21_1_sil=8000:lcm=predicate:random_seed=26754583:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.68/2.27 % (1668075)Refutation not found, incomplete strategy
% 9.68/2.27 % (1668075)------------------------------
% 9.68/2.27 % (1668075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668075)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668075)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.27 % (1668075)Time elapsed: 0.002 s
% 9.68/2.27 % (1668075)Peak memory usage: 88 MB
% 9.68/2.27 % (1668075)Instructions burned: 1 (million)
% 9.68/2.27 % (1668072)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4210655825:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.68/2.27 % (1668072)Refutation not found, incomplete strategy
% 9.68/2.27 % (1668072)------------------------------
% 9.68/2.27 % (1668072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668072)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668072)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.27 % (1668072)Time elapsed: 0.001 s
% 9.68/2.27 % (1668072)Peak memory usage: 88 MB
% 9.68/2.27 % (1668074)Instruction limit reached!
% 9.68/2.27 % (1668074)------------------------------
% 9.68/2.27 % (1668074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668074)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668074)Termination reason: Instruction limit
% 9.68/2.27 % (1668074)Termination phase: Saturation
% 9.68/2.27 % (1668074)Time elapsed: 0.042 s
% 9.68/2.27 % (1668074)Peak memory usage: 89 MB
% 9.68/2.27 % (1668074)Instructions burned: 142 (million)
% 9.68/2.27 % (1668073)Instruction limit reached!
% 9.68/2.27 % (1668073)------------------------------
% 9.68/2.27 % (1668073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668073)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668073)Termination reason: Instruction limit
% 9.68/2.27 % (1668073)Termination phase: Saturation
% 9.68/2.27 % (1668073)Time elapsed: 0.074 s
% 9.68/2.27 % (1668073)Peak memory usage: 89 MB
% 9.68/2.27 % (1668073)Instructions burned: 120 (million)
% 9.68/2.27 % (1668108)lrs+10_1_sil=8000:sp=occurrence:random_seed=2330370674:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.68/2.27 % (1668125)lrs+10_1_sil=32000:urr=on:br=off:random_seed=630767163:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.68/2.27 % (1668125)Refutation not found, incomplete strategy
% 9.68/2.27 % (1668125)------------------------------
% 9.68/2.27 % (1668125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668125)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668125)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.27 % (1668125)Time elapsed: 0.003 s
% 9.68/2.27 % (1668125)Peak memory usage: 89 MB
% 9.68/2.27 % (1668125)Instructions burned: 2 (million)
% 9.68/2.27 % (1668108)Instruction limit reached!
% 9.68/2.27 % (1668108)------------------------------
% 9.68/2.27 % (1668108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668108)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668108)Termination reason: Instruction limit
% 9.68/2.27 % (1668108)Termination phase: Saturation
% 9.68/2.27 % (1668108)Time elapsed: 0.100 s
% 9.68/2.27 % (1668108)Peak memory usage: 91 MB
% 9.68/2.27 % (1668108)Instructions burned: 288 (million)
% 9.68/2.27 % (1668075)------------------------------
% 9.68/2.27 % (1668075)------------------------------
% 9.68/2.27 % (1668072)------------------------------
% 9.68/2.27 % (1668072)------------------------------
% 9.68/2.27 % (1668145)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1407323569:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.68/2.27 % (1668146)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=157660567:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.68/2.27 % (1668147)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3672710310:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.68/2.27 % (1668145)Instruction limit reached!
% 9.68/2.27 % (1668145)------------------------------
% 9.68/2.27 % (1668145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668145)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668145)Termination reason: Instruction limit
% 9.68/2.27 % (1668145)Termination phase: Saturation
% 9.68/2.27 % (1668145)Time elapsed: 0.104 s
% 9.68/2.27 % (1668145)Peak memory usage: 91 MB
% 9.68/2.27 % (1668145)Instructions burned: 328 (million)
% 9.68/2.27 % (1668147)Refutation not found, incomplete strategy
% 9.68/2.27 % (1668147)------------------------------
% 9.68/2.27 % (1668147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668147)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668147)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.27 % (1668147)Time elapsed: 0.001 s
% 9.68/2.27 % (1668147)Peak memory usage: 88 MB
% 9.68/2.27 % (1668147)Instructions burned: 1 (million)
% 9.68/2.27 % (1668125)------------------------------
% 9.68/2.27 % (1668125)------------------------------
% 9.68/2.27 % (1668151)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3498303507:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.68/2.27 % (1668146)Instruction limit reached!
% 9.68/2.27 % (1668146)------------------------------
% 9.68/2.27 % (1668146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668146)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668146)Termination reason: Instruction limit
% 9.68/2.27 % (1668146)Termination phase: Saturation
% 9.68/2.27 % (1668146)Time elapsed: 0.155 s
% 9.68/2.27 % (1668146)Peak memory usage: 91 MB
% 9.68/2.27 % (1668146)Instructions burned: 249 (million)
% 9.68/2.27 % (1668152)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3451065196:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.68/2.27 % (1668152)Refutation not found, incomplete strategy
% 9.68/2.27 % (1668152)------------------------------
% 9.68/2.27 % (1668152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668152)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668152)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.27 % (1668152)Time elapsed: 0.001 s
% 9.68/2.27 % (1668152)Peak memory usage: 88 MB
% 9.68/2.27 % (1668152)Instructions burned: 1 (million)
% 9.68/2.27 % (1668071)Refutation not found, incomplete strategy
% 9.68/2.27 % (1668071)------------------------------
% 9.68/2.27 % (1668071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668071)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668071)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.27 % (1668071)Time elapsed: 0.594 s
% 9.68/2.27 % (1668071)Peak memory usage: 127 MB
% 9.68/2.27 % (1668071)Instructions burned: 888 (million)
% 9.68/2.27 % (1668147)------------------------------
% 9.68/2.27 % (1668147)------------------------------
% 9.68/2.27 % (1668154)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3209526192:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.68/2.27 % (1668154)Refutation not found, incomplete strategy
% 9.68/2.27 % (1668154)------------------------------
% 9.68/2.27 % (1668154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668154)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668154)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.27 % (1668154)Time elapsed: 0.001 s
% 9.68/2.27 % (1668154)Peak memory usage: 88 MB
% 9.68/2.27 % (1668156)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2781745083:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 9.68/2.27 % (1668156)Refutation not found, incomplete strategy
% 9.68/2.27 % (1668156)------------------------------
% 9.68/2.27 % (1668156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668156)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668156)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.27 % (1668156)Time elapsed: 0.001 s
% 9.68/2.27 % (1668156)Peak memory usage: 88 MB
% 9.68/2.27 % (1668152)------------------------------
% 9.68/2.27 % (1668152)------------------------------
% 9.68/2.27 % (1668071)------------------------------
% 9.68/2.27 % (1668071)------------------------------
% 9.68/2.27 % (1668154)------------------------------
% 9.68/2.27 % (1668154)------------------------------
% 9.68/2.27 % (1668159)lrs+10_1_sil=8000:sp=occurrence:random_seed=3076109726:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 9.68/2.27 % (1668160)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2550324289:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 9.68/2.27 % (1668160)Refutation not found, incomplete strategy
% 9.68/2.27 % (1668160)------------------------------
% 9.68/2.27 % (1668160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668160)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668160)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.27 % (1668160)Time elapsed: 0.001 s
% 9.68/2.27 % (1668160)Peak memory usage: 88 MB
% 9.68/2.27 % (1668069)First to succeed.
% 9.68/2.27 % (1668069)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1667982"
% 9.68/2.27 % (1668156)------------------------------
% 9.68/2.27 % (1668156)------------------------------
% 9.68/2.27 % (1668161)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2052082972:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 9.68/2.27 % (1668151)Also succeeded, but the first one will report.
% 9.68/2.27 % (1668070)Also succeeded, but the first one will report.
% 9.68/2.27 % (1668164)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2872972790:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 9.68/2.27 % (1668164)Refutation not found, incomplete strategy
% 9.68/2.27 % (1668164)------------------------------
% 9.68/2.27 % (1668164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.27 % (1668164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.27 % (1668164)CaDiCaL version: 2.1.3
% 9.68/2.27 % (1668164)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.27 % (1668164)Time elapsed: 0.002 s
% 9.68/2.27 % (1668164)Peak memory usage: 89 MB
% 9.68/2.27 % (1668164)Instructions burned: 1 (million)
% 9.68/2.27 % (1668160)------------------------------
% 9.68/2.27 % (1668160)------------------------------
% 9.68/2.27 % (1668069)Refutation found. Thanks to Tanya!
% 9.68/2.27 % SZS status Theorem for theBenchmark
% 9.68/2.27 % SZS output start Proof for theBenchmark
% See solution above
% 10.43/2.46 % (1668069)------------------------------
% 10.43/2.46 % (1668069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.46 % (1668069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.46 % (1668069)CaDiCaL version: 2.1.3
% 10.43/2.46 % (1668069)Termination reason: Refutation
% 10.43/2.46 % (1668069)Time elapsed: 0.985 s
% 10.43/2.46 % (1668069)Peak memory usage: 134 MB
% 10.43/2.46 % (1668069)Instructions burned: 1501 (million)
% 10.43/2.46 % (1668069)------------------------------
% 10.43/2.46 % (1668069)------------------------------
% 10.43/2.46 % (1667982)Success in time 1.399 s
% 10.43/2.46 % Vampire exiting
%------------------------------------------------------------------------------