%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE170+1.002 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:40:32 AM UTC 2026
% Result : Theorem 11.60s 2.54s
% Output : Refutation 12.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 15
% Syntax : Number of formulae : 86 ( 74 unt; 3 def)
% Number of atoms : 101 ( 66 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 12 |; 1 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f17,conjecture,
leq(multiplication(a,a),star(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a) ).
fof(f18,negated_conjecture,
~ leq(multiplication(a,a),star(a)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
~ leq(multiplication(a,a),star(a)),
inference(flattening,[],[f18]) ).
fof(f22,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f24,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f27,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f28,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f29,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f40,plain,
~ leq(multiplication(a,a),star(a)),
inference(cnf_transformation,[],[f19]) ).
fof(f41,definition,
sF0 = multiplication(a,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f42,plain,
multiplication(a,a) = sF0,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF1 = star(a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f44,plain,
star(a) = sF1,
inference(reorient_equations,[],[f43]) ).
fof(f45,plain,
~ leq(sF0,sF1),
inference(definition_folding,[],[f40,f44,f42]) ).
fof(f63,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f24,f26]) ).
fof(f70,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f23,f24]) ).
fof(f99,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f35,f63]) ).
fof(f101,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f99]) ).
fof(f113,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f101,f23]) ).
fof(f154,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f36,f34]) ).
fof(f157,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f154,f23]) ).
fof(f158,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(forward_demodulation,[],[f157,f70]) ).
fof(f159,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f158,f23]) ).
fof(f163,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f63,f159]) ).
fof(f167,plain,
sF1 = addition(one,sF1),
inference(superposition,[],[f163,f44]) ).
fof(f170,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(star(X0),X1)),
inference(superposition,[],[f24,f163]) ).
fof(f178,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f37,f34]) ).
fof(f180,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f178,f23]) ).
fof(f181,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(forward_demodulation,[],[f180,f70]) ).
fof(f182,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f181,f23]) ).
fof(f183,plain,
! [X0] : star(X0) = addition(star(X0),multiplication(star(X0),X0)),
inference(forward_demodulation,[],[f182,f170]) ).
fof(f187,plain,
! [X0,X1] : addition(star(X0),X1) = addition(star(X0),addition(multiplication(star(X0),X0),X1)),
inference(superposition,[],[f24,f183]) ).
fof(f191,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f30,f28]) ).
fof(f219,plain,
! [X0] : star(X0) = multiplication(star(X0),addition(one,X0)),
inference(superposition,[],[f183,f191]) ).
fof(f242,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f31,f29]) ).
fof(f283,plain,
! [X0,X1] : addition(star(X0),multiplication(X1,X0)) = addition(star(X0),multiplication(addition(star(X0),X1),X0)),
inference(superposition,[],[f187,f31]) ).
fof(f869,plain,
! [X0] : addition(star(X0),multiplication(star(X0),X0)) = addition(star(X0),multiplication(multiplication(star(X0),X0),X0)),
inference(superposition,[],[f283,f183]) ).
fof(f896,plain,
! [X0] : addition(star(X0),multiplication(star(X0),X0)) = addition(star(X0),multiplication(star(X0),multiplication(X0,X0))),
inference(forward_demodulation,[],[f869,f27]) ).
fof(f901,plain,
! [X0] : addition(star(X0),multiplication(star(X0),X0)) = multiplication(star(X0),addition(one,multiplication(X0,X0))),
inference(forward_demodulation,[],[f896,f191]) ).
fof(f904,plain,
! [X0] : multiplication(star(X0),addition(one,X0)) = multiplication(star(X0),addition(one,multiplication(X0,X0))),
inference(forward_demodulation,[],[f901,f191]) ).
fof(f906,plain,
! [X0] : star(X0) = multiplication(star(X0),addition(one,multiplication(X0,X0))),
inference(forward_demodulation,[],[f904,f219]) ).
fof(f911,plain,
star(a) = multiplication(star(a),addition(one,sF0)),
inference(superposition,[],[f906,f42]) ).
fof(f941,plain,
sF1 = multiplication(sF1,addition(one,sF0)),
inference(forward_demodulation,[],[f911,f44]) ).
fof(f966,plain,
multiplication(addition(one,sF1),addition(one,sF0)) = addition(addition(one,sF0),sF1),
inference(superposition,[],[f242,f941]) ).
fof(f969,plain,
multiplication(addition(one,sF1),addition(one,sF0)) = addition(sF1,addition(one,sF0)),
inference(forward_demodulation,[],[f966,f23]) ).
fof(f986,plain,
multiplication(addition(one,sF1),addition(one,sF0)) = addition(sF0,addition(sF1,one)),
inference(forward_demodulation,[],[f969,f70]) ).
fof(f991,plain,
multiplication(addition(one,sF1),addition(one,sF0)) = addition(one,addition(sF0,sF1)),
inference(forward_demodulation,[],[f986,f70]) ).
fof(f992,plain,
multiplication(sF1,addition(one,sF0)) = addition(one,addition(sF0,sF1)),
inference(forward_demodulation,[],[f991,f167]) ).
fof(f993,plain,
sF1 = addition(one,addition(sF0,sF1)),
inference(forward_demodulation,[],[f992,f941]) ).
fof(f1000,plain,
leq(addition(sF0,sF1),sF1),
inference(superposition,[],[f113,f993]) ).
fof(f1009,definition,
( spl2_15
<=> sF1 = addition(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f1010,plain,
( sF1 = addition(sF0,sF1)
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1011,plain,
( sF1 != addition(sF0,sF1)
| spl2_15 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1014,plain,
sF1 = addition(addition(sF0,sF1),sF1),
inference(resolution,[],[f1000,f34]) ).
fof(f1015,plain,
sF1 = addition(sF1,addition(sF0,sF1)),
inference(forward_demodulation,[],[f1014,f23]) ).
fof(f1016,plain,
sF1 = addition(sF0,addition(sF1,sF1)),
inference(forward_demodulation,[],[f1015,f70]) ).
fof(f1017,plain,
sF1 = addition(sF0,sF1),
inference(forward_demodulation,[],[f1016,f26]) ).
fof(f1018,plain,
( $false
| spl2_15 ),
inference(forward_subsumption_resolution,[],[f1017,f1011]) ).
fof(f1019,plain,
spl2_15,
inference(avatar_contradiction_clause,[],[f1018]) ).
fof(f1057,plain,
( sF1 != sF1
| leq(sF0,sF1)
| ~ spl2_15 ),
inference(superposition,[],[f35,f1010]) ).
fof(f1063,plain,
( leq(sF0,sF1)
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f1057]) ).
fof(f1076,plain,
( $false
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f1063,f45]) ).
fof(f1077,plain,
~ spl2_15,
inference(avatar_contradiction_clause,[],[f1076]) ).
cnf(s10,plain,
spl2_15,
inference(sat_conversion,[],[f1019]) ).
cnf(s13,plain,
~ spl2_15,
inference(sat_conversion,[],[f1077]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s10,s13]) ).
fof(f1087,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE170+1.002 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 13:14:30 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 8.76/2.11 % (2031528)Detected formulas, will run a generic FOF schedule.
% 8.76/2.11 % (2031535)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=1416970564:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.76/2.11 % (2031537)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2771707302:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.76/2.11 % (2031536)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1687186835:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.76/2.11 % (2031533)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=3850613955:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.76/2.11 % (2031539)dis-21_1_sil=8000:lcm=predicate:random_seed=4077344656: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)
% 8.76/2.11 % (2031534)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=4149791722:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.76/2.11 % (2031538)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=293282050:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.76/2.11 % (2031536)Refutation not found, incomplete strategy
% 8.76/2.11 % (2031536)------------------------------
% 8.76/2.11 % (2031536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.11 % (2031536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.11 % (2031536)CaDiCaL version: 2.1.3
% 8.76/2.11 % (2031536)Termination reason: Refutation not found, incomplete strategy
% 8.76/2.11 % (2031536)Time elapsed: 0.001 s
% 8.76/2.11 % (2031536)Peak memory usage: 88 MB
% 8.76/2.11 % (2031539)Refutation not found, incomplete strategy
% 8.76/2.11 % (2031539)------------------------------
% 8.76/2.11 % (2031539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.11 % (2031539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.11 % (2031539)CaDiCaL version: 2.1.3
% 8.76/2.11 % (2031539)Termination reason: Refutation not found, incomplete strategy
% 8.76/2.11 % (2031539)Time elapsed: 0.001 s
% 8.76/2.11 % (2031539)Peak memory usage: 88 MB
% 8.76/2.11 % (2031539)Instructions burned: 1 (million)
% 8.76/2.11 % (2031537)Instruction limit reached!
% 8.76/2.11 % (2031537)------------------------------
% 8.76/2.11 % (2031537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.11 % (2031537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.11 % (2031537)CaDiCaL version: 2.1.3
% 8.76/2.11 % (2031537)Termination reason: Instruction limit
% 8.76/2.11 % (2031537)Termination phase: Saturation
% 8.76/2.11 % (2031537)Time elapsed: 0.068 s
% 8.76/2.11 % (2031537)Peak memory usage: 88 MB
% 8.76/2.11 % (2031537)Instructions burned: 120 (million)
% 8.76/2.11 % (2031538)Instruction limit reached!
% 8.76/2.11 % (2031538)------------------------------
% 8.76/2.11 % (2031538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.11 % (2031538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.11 % (2031538)CaDiCaL version: 2.1.3
% 8.76/2.11 % (2031538)Termination reason: Instruction limit
% 8.76/2.11 % (2031538)Termination phase: Saturation
% 8.76/2.11 % (2031538)Time elapsed: 0.085 s
% 8.76/2.11 % (2031538)Peak memory usage: 89 MB
% 8.76/2.11 % (2031538)Instructions burned: 139 (million)
% 8.76/2.11 % (2031547)lrs+10_1_sil=8000:sp=occurrence:random_seed=648695345:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.76/2.11 % (2031548)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1719925591:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.76/2.11 % (2031536)------------------------------
% 8.76/2.11 % (2031536)------------------------------
% 8.76/2.11 % (2031539)------------------------------
% 8.76/2.11 % (2031539)------------------------------
% 8.76/2.11 % (2031548)Instruction limit reached!
% 8.76/2.11 % (2031548)------------------------------
% 8.76/2.11 % (2031548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.11 % (2031548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.54 % (2031548)CaDiCaL version: 2.1.3
% 11.60/2.54 % (2031548)Termination reason: Instruction limit
% 11.60/2.54 % (2031548)Termination phase: Saturation
% 11.60/2.54 % (2031548)Time elapsed: 0.081 s
% 11.60/2.54 % (2031548)Peak memory usage: 89 MB
% 11.60/2.54 % (2031548)Instructions burned: 159 (million)
% 11.60/2.54 % (2031535)Refutation not found, incomplete strategy
% 11.60/2.54 % (2031535)------------------------------
% 11.60/2.54 % (2031535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.54 % (2031535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.54 % (2031535)CaDiCaL version: 2.1.3
% 11.60/2.54 % (2031535)Termination reason: Refutation not found, incomplete strategy
% 11.60/2.54 % (2031535)Time elapsed: 0.366 s
% 11.60/2.54 % (2031535)Peak memory usage: 128 MB
% 11.60/2.54 % (2031535)Instructions burned: 894 (million)
% 11.60/2.54 % (2031552)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=4214881882:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.60/2.54 % (2031551)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3391914935:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.60/2.54 % (2031547)Instruction limit reached!
% 11.60/2.54 % (2031547)------------------------------
% 11.60/2.54 % (2031547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.54 % (2031547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.54 % (2031547)CaDiCaL version: 2.1.3
% 11.60/2.54 % (2031547)Termination reason: Instruction limit
% 11.60/2.54 % (2031547)Termination phase: Saturation
% 11.60/2.54 % (2031547)Time elapsed: 0.182 s
% 11.60/2.54 % (2031547)Peak memory usage: 91 MB
% 11.60/2.54 % (2031547)Instructions burned: 286 (million)
% 11.60/2.54 % (2031553)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1516684980:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.60/2.54 % (2031553)Refutation not found, incomplete strategy
% 11.60/2.54 % (2031553)------------------------------
% 11.60/2.54 % (2031553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.54 % (2031553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.54 % (2031553)CaDiCaL version: 2.1.3
% 11.60/2.54 % (2031553)Termination reason: Refutation not found, incomplete strategy
% 11.60/2.54 % (2031553)Time elapsed: 0.001 s
% 11.60/2.54 % (2031553)Peak memory usage: 88 MB
% 11.60/2.54 % (2031553)Instructions burned: 1 (million)
% 11.60/2.54 % (2031535)------------------------------
% 11.60/2.54 % (2031535)------------------------------
% 11.60/2.54 % (2031552)Instruction limit reached!
% 11.60/2.54 % (2031552)------------------------------
% 11.60/2.54 % (2031552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.54 % (2031552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.54 % (2031552)CaDiCaL version: 2.1.3
% 11.60/2.54 % (2031552)Termination reason: Instruction limit
% 11.60/2.54 % (2031552)Termination phase: Saturation
% 11.60/2.54 % (2031552)Time elapsed: 0.157 s
% 11.60/2.54 % (2031552)Peak memory usage: 91 MB
% 11.60/2.54 % (2031552)Instructions burned: 249 (million)
% 11.60/2.54 % (2031556)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3662479699:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.60/2.54 % (2031551)Instruction limit reached!
% 11.60/2.54 % (2031551)------------------------------
% 11.60/2.54 % (2031551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.54 % (2031551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.54 % (2031551)CaDiCaL version: 2.1.3
% 11.60/2.54 % (2031551)Termination reason: Instruction limit
% 11.60/2.54 % (2031551)Termination phase: Saturation
% 11.60/2.54 % (2031551)Time elapsed: 0.216 s
% 11.60/2.54 % (2031551)Peak memory usage: 93 MB
% 11.60/2.54 % (2031551)Instructions burned: 326 (million)
% 11.60/2.54 % (2031558)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1849932723:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 11.60/2.54 % (2031558)Refutation not found, incomplete strategy
% 11.60/2.54 % (2031558)------------------------------
% 11.60/2.54 % (2031558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.54 % (2031558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.54 % (2031558)CaDiCaL version: 2.1.3
% 11.60/2.54 % (2031558)Termination reason: Refutation not found, incomplete strategy
% 11.60/2.54 % (2031558)Time elapsed: 0.001 s
% 11.60/2.54 % (2031558)Peak memory usage: 88 MB
% 11.60/2.54 % (2031558)Instructions burned: 1 (million)
% 11.60/2.54 % (2031560)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1894949828:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.60/2.54 % (2031560)Refutation not found, incomplete strategy
% 11.60/2.54 % (2031560)------------------------------
% 11.60/2.54 % (2031560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.54 % (2031560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.54 % (2031560)CaDiCaL version: 2.1.3
% 11.60/2.54 % (2031560)Termination reason: Refutation not found, incomplete strategy
% 11.60/2.54 % (2031560)Time elapsed: 0.001 s
% 11.60/2.54 % (2031560)Peak memory usage: 88 MB
% 11.60/2.54 % (2031553)------------------------------
% 11.60/2.54 % (2031553)------------------------------
% 11.60/2.54 % (2031562)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=31658510:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.60/2.54 % (2031562)Refutation not found, incomplete strategy
% 11.60/2.54 % (2031562)------------------------------
% 11.60/2.54 % (2031562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.54 % (2031562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.54 % (2031562)CaDiCaL version: 2.1.3
% 11.60/2.54 % (2031562)Termination reason: Refutation not found, incomplete strategy
% 11.60/2.54 % (2031562)Time elapsed: 0.001 s
% 11.60/2.54 % (2031562)Peak memory usage: 88 MB
% 11.60/2.54 % (2031558)------------------------------
% 11.60/2.54 % (2031558)------------------------------
% 11.60/2.54 % (2031566)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2440650088:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.60/2.54 % (2031566)Refutation not found, incomplete strategy
% 11.60/2.54 % (2031566)------------------------------
% 11.60/2.54 % (2031566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.54 % (2031566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.54 % (2031566)CaDiCaL version: 2.1.3
% 11.60/2.54 % (2031566)Termination reason: Refutation not found, incomplete strategy
% 11.60/2.54 % (2031566)Time elapsed: 0.0000 s
% 11.60/2.54 % (2031566)Peak memory usage: 88 MB
% 11.60/2.54 % (2031564)lrs+10_1_sil=8000:sp=occurrence:random_seed=3742929570:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.60/2.54 % (2031560)------------------------------
% 11.60/2.54 % (2031560)------------------------------
% 11.60/2.54 % (2031562)------------------------------
% 11.60/2.54 % (2031562)------------------------------
% 11.60/2.54 % (2031566)------------------------------
% 11.60/2.54 % (2031566)------------------------------
% 11.60/2.54 % (2031569)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2719434555:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 11.60/2.54 % (2031571)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=370892691:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 11.60/2.54 % (2031571)Refutation not found, incomplete strategy
% 11.60/2.54 % (2031571)------------------------------
% 11.60/2.54 % (2031571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.54 % (2031571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.54 % (2031571)CaDiCaL version: 2.1.3
% 11.60/2.54 % (2031571)Termination reason: Refutation not found, incomplete strategy
% 11.60/2.54 % (2031571)Time elapsed: 0.001 s
% 11.60/2.54 % (2031571)Peak memory usage: 88 MB
% 11.60/2.54 % (2031570)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=183275691:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 11.60/2.54 % (2031570)Refutation not found, incomplete strategy
% 11.60/2.54 % (2031570)------------------------------
% 11.60/2.54 % (2031570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.54 % (2031570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.54 % (2031570)CaDiCaL version: 2.1.3
% 11.60/2.54 % (2031570)Termination reason: Refutation not found, incomplete strategy
% 11.60/2.54 % (2031570)Time elapsed: 0.002 s
% 11.60/2.54 % (2031570)Peak memory usage: 88 MB
% 11.60/2.54 % (2031570)Instructions burned: 1 (million)
% 11.60/2.54 % (2031571)------------------------------
% 11.60/2.54 % (2031571)------------------------------
% 11.60/2.54 % (2031556)First to succeed.
% 11.60/2.54 % (2031556)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2031528"
% 11.60/2.54 % (2031533)Also succeeded, but the first one will report.
% 11.60/2.54 % (2031575)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3407522583:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 11.60/2.54 % (2031570)------------------------------
% 11.60/2.54 % (2031570)------------------------------
% 11.60/2.54 % (2031564)Instruction limit reached!
% 11.60/2.54 % (2031564)------------------------------
% 11.60/2.54 % (2031564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.54 % (2031564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.54 % (2031564)CaDiCaL version: 2.1.3
% 11.60/2.54 % (2031564)Termination reason: Instruction limit
% 11.60/2.54 % (2031564)Termination phase: Saturation
% 11.60/2.54 % (2031564)Time elapsed: 0.549 s
% 11.60/2.54 % (2031564)Peak memory usage: 96 MB
% 11.60/2.54 % (2031564)Instructions burned: 908 (million)
% 11.60/2.54 % (2031577)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3360361668:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 11.60/2.54 % (2031578)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=293699093:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 11.60/2.54 % (2031556)Refutation found. Thanks to Tanya!
% 11.60/2.54 % SZS status Theorem for theBenchmark
% 11.60/2.54 % SZS output start Proof for theBenchmark
% See solution above
% 12.60/2.74 % (2031556)------------------------------
% 12.60/2.74 % (2031556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/2.74 % (2031556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/2.74 % (2031556)CaDiCaL version: 2.1.3
% 12.60/2.74 % (2031556)Termination reason: Refutation
% 12.60/2.74 % (2031556)Time elapsed: 0.747 s
% 12.60/2.74 % (2031556)Peak memory usage: 131 MB
% 12.60/2.74 % (2031556)Instructions burned: 1115 (million)
% 12.60/2.74 % (2031556)------------------------------
% 12.60/2.74 % (2031556)------------------------------
% 12.60/2.74 % (2031528)Success in time 1.698 s
% 12.60/2.74 % Vampire exiting
%------------------------------------------------------------------------------