%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL024+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 : 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 12:33:50 PM UTC 2026
% Result : Theorem 6.90s 2.02s
% Output : Refutation 8.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 24
% Syntax : Number of formulae : 93 ( 93 unt; 12 def)
% Number of atoms : 93 ( 92 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-2 aty)
% Number of variables : 101 ( 98 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)) = composition(meet(X0,converse(X1)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)) = composition(meet(X0,converse(X1)),X2),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] : composition(meet(X0,converse(X1)),X2) != join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
composition(meet(sK0,converse(sK1)),sK2) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(meet(sK0,converse(sK1)),sK2)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
composition(meet(sK0,converse(sK1)),sK2) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(meet(sK0,converse(sK1)),sK2)),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f33,plain,
composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2) != join(composition(complement(join(complement(sK0),complement(converse(sK1)))),complement(join(complement(sK1),complement(sK2)))),composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2)),
inference(definition_unfolding,[],[f31,f21,f21,f21,f21]) ).
fof(f34,definition,
sF3 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f35,plain,
complement(sK0) = sF3,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF4 = converse(sK1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f37,plain,
converse(sK1) = sF4,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f39,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f41,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f43,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF8 = composition(sF7,sK2),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f45,plain,
composition(sF7,sK2) = sF8,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF9 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f47,plain,
complement(sK1) = sF9,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF10 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f49,plain,
complement(sK2) = sF10,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF11 = join(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f51,plain,
join(sF9,sF10) = sF11,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF12 = complement(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f53,plain,
complement(sF11) = sF12,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF13 = composition(sF7,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f55,plain,
composition(sF7,sF12) = sF13,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF14 = join(sF13,sF8),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f57,plain,
join(sF13,sF8) = sF14,
inference(reorient_equations,[],[f56]) ).
fof(f58,plain,
sF8 != sF14,
inference(definition_folding,[],[f33,f57,f45,f43,f41,f39,f37,f35,f55,f53,f51,f49,f47,f43,f41,f39,f37,f35,f45,f43,f41,f39,f37,f35]) ).
fof(f145,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f149,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f24,f27]) ).
fof(f159,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f20,f32]) ).
fof(f182,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f19,f20]) ).
fof(f244,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f145,f23]) ).
fof(f254,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f244,f25]) ).
fof(f268,plain,
one = converse(one),
inference(superposition,[],[f23,f254]) ).
fof(f272,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f254,f268]) ).
fof(f283,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f28,f272]) ).
fof(f286,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f283,f254]) ).
fof(f290,plain,
sF10 = join(sF10,sF10),
inference(superposition,[],[f286,f49]) ).
fof(f448,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f182,f286]) ).
fof(f458,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f448,f20]) ).
fof(f496,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f458,f32]) ).
fof(f532,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f18,f496]) ).
fof(f670,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f149,f27]) ).
fof(f687,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f670,f26]) ).
fof(f701,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f687,f26]) ).
fof(f709,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f701,f27]) ).
fof(f726,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f709]) ).
fof(f741,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f726,f25]) ).
fof(f770,plain,
! [X0] : composition(sF7,join(sK2,X0)) = join(sF8,composition(sF7,X0)),
inference(superposition,[],[f741,f45]) ).
fof(f923,plain,
sK2 = join(zero,complement(join(sF10,sF10))),
inference(superposition,[],[f159,f49]) ).
fof(f931,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(complement(join(complement(X0),complement(X0))),X1)),
inference(superposition,[],[f19,f159]) ).
fof(f932,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(X0))),X1),
inference(forward_demodulation,[],[f931,f532]) ).
fof(f939,plain,
sK2 = complement(join(sF10,sF10)),
inference(forward_demodulation,[],[f923,f532]) ).
fof(f943,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f932,f286]) ).
fof(f949,plain,
sK2 = complement(sF10),
inference(forward_demodulation,[],[f939,f290]) ).
fof(f979,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f458,f943]) ).
fof(f1059,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f979,f18]) ).
fof(f1177,plain,
complement(sF10) = join(complement(sF10),complement(sF11)),
inference(superposition,[],[f1059,f51]) ).
fof(f1212,plain,
complement(sF10) = join(complement(sF10),sF12),
inference(forward_demodulation,[],[f1177,f53]) ).
fof(f1227,plain,
sK2 = join(sK2,sF12),
inference(forward_demodulation,[],[f1212,f949]) ).
fof(f1252,plain,
composition(sF7,sK2) = join(sF8,composition(sF7,sF12)),
inference(superposition,[],[f770,f1227]) ).
fof(f1262,plain,
composition(sF7,sK2) = join(sF8,sF13),
inference(forward_demodulation,[],[f1252,f55]) ).
fof(f1264,plain,
sF8 = join(sF8,sF13),
inference(forward_demodulation,[],[f1262,f45]) ).
fof(f1268,plain,
sF8 = join(sF13,sF8),
inference(superposition,[],[f18,f1264]) ).
fof(f1275,plain,
sF8 = sF14,
inference(forward_demodulation,[],[f1268,f57]) ).
fof(f1279,plain,
$false,
inference(forward_subsumption_resolution,[],[f1275,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL024+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 22:54:39 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 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
% 6.90/2.02 % (2820502)Detected formulas, will run a generic FOF schedule.
% 6.90/2.02 % (2820511)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2809690137:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.90/2.02 % (2820508)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=461549918:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.90/2.02 % (2820513)dis-21_1_sil=8000:lcm=predicate:random_seed=1095079698: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)
% 6.90/2.02 % (2820510)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=682937243:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.90/2.02 % (2820507)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=358458592:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.90/2.02 % (2820509)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=2417490380:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.90/2.02 % (2820513)Refutation not found, incomplete strategy
% 6.90/2.02 % (2820513)------------------------------
% 6.90/2.02 % (2820513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820513)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820513)Termination reason: Refutation not found, incomplete strategy
% 6.90/2.02 % (2820513)Time elapsed: 0.001 s
% 6.90/2.02 % (2820513)Peak memory usage: 88 MB
% 6.90/2.02 % (2820510)Refutation not found, incomplete strategy
% 6.90/2.02 % (2820510)------------------------------
% 6.90/2.02 % (2820510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820513)Instructions burned: 1 (million)
% 6.90/2.02 % (2820510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820510)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820510)Termination reason: Refutation not found, incomplete strategy
% 6.90/2.02 % (2820510)Time elapsed: 0.002 s
% 6.90/2.02 % (2820510)Peak memory usage: 88 MB
% 6.90/2.02 % (2820510)Instructions burned: 1 (million)
% 6.90/2.02 % (2820512)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2477902004:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.90/2.02 % (2820511)Instruction limit reached!
% 6.90/2.02 % (2820511)------------------------------
% 6.90/2.02 % (2820511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820511)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820511)Termination reason: Instruction limit
% 6.90/2.02 % (2820511)Termination phase: Saturation
% 6.90/2.02 % (2820511)Time elapsed: 0.035 s
% 6.90/2.02 % (2820511)Peak memory usage: 89 MB
% 6.90/2.02 % (2820511)Instructions burned: 120 (million)
% 6.90/2.02 % (2820512)Instruction limit reached!
% 6.90/2.02 % (2820512)------------------------------
% 6.90/2.02 % (2820512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820512)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820512)Termination reason: Instruction limit
% 6.90/2.02 % (2820512)Termination phase: Saturation
% 6.90/2.02 % (2820512)Time elapsed: 0.090 s
% 6.90/2.02 % (2820512)Peak memory usage: 90 MB
% 6.90/2.02 % (2820512)Instructions burned: 140 (million)
% 6.90/2.02 % (2820521)lrs+10_1_sil=8000:sp=occurrence:random_seed=958519083:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.90/2.02 % (2820521)Instruction limit reached!
% 6.90/2.02 % (2820521)------------------------------
% 6.90/2.02 % (2820521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820521)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820521)Termination reason: Instruction limit
% 6.90/2.02 % (2820521)Termination phase: Saturation
% 6.90/2.02 % (2820521)Time elapsed: 0.092 s
% 6.90/2.02 % (2820521)Peak memory usage: 91 MB
% 6.90/2.02 % (2820521)Instructions burned: 286 (million)
% 6.90/2.02 % (2820522)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2564219784:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.90/2.02 % (2820513)------------------------------
% 6.90/2.02 % (2820513)------------------------------
% 6.90/2.02 % (2820510)------------------------------
% 6.90/2.02 % (2820510)------------------------------
% 6.90/2.02 % (2820524)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2257211870:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.90/2.02 % (2820522)Instruction limit reached!
% 6.90/2.02 % (2820522)------------------------------
% 6.90/2.02 % (2820522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820522)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820522)Termination reason: Instruction limit
% 6.90/2.02 % (2820522)Termination phase: Saturation
% 6.90/2.02 % (2820522)Time elapsed: 0.099 s
% 6.90/2.02 % (2820522)Peak memory usage: 90 MB
% 6.90/2.02 % (2820522)Instructions burned: 157 (million)
% 6.90/2.02 % (2820526)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=1281466039:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.90/2.02 % (2820527)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1203162454:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.90/2.02 % (2820527)Refutation not found, incomplete strategy
% 6.90/2.02 % (2820527)------------------------------
% 6.90/2.02 % (2820527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820527)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820527)Termination reason: Refutation not found, incomplete strategy
% 6.90/2.02 % (2820527)Time elapsed: 0.002 s
% 6.90/2.02 % (2820527)Peak memory usage: 88 MB
% 6.90/2.02 % (2820527)Instructions burned: 1 (million)
% 6.90/2.02 % (2820524)Instruction limit reached!
% 6.90/2.02 % (2820524)------------------------------
% 6.90/2.02 % (2820524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820524)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820524)Termination reason: Instruction limit
% 6.90/2.02 % (2820524)Termination phase: Saturation
% 6.90/2.02 % (2820524)Time elapsed: 0.106 s
% 6.90/2.02 % (2820524)Peak memory usage: 92 MB
% 6.90/2.02 % (2820524)Instructions burned: 325 (million)
% 6.90/2.02 % (2820529)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1756164394:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.90/2.02 % (2820532)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1776520465:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.90/2.02 % (2820532)Refutation not found, incomplete strategy
% 6.90/2.02 % (2820532)------------------------------
% 6.90/2.02 % (2820532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820532)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820532)Termination reason: Refutation not found, incomplete strategy
% 6.90/2.02 % (2820532)Time elapsed: 0.001 s
% 6.90/2.02 % (2820532)Peak memory usage: 88 MB
% 6.90/2.02 % (2820532)Instructions burned: 1 (million)
% 6.90/2.02 % (2820526)Instruction limit reached!
% 6.90/2.02 % (2820526)------------------------------
% 6.90/2.02 % (2820526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820526)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820526)Termination reason: Instruction limit
% 6.90/2.02 % (2820526)Termination phase: Saturation
% 6.90/2.02 % (2820526)Time elapsed: 0.156 s
% 6.90/2.02 % (2820526)Peak memory usage: 91 MB
% 6.90/2.02 % (2820526)Instructions burned: 248 (million)
% 6.90/2.02 % (2820509)Refutation not found, incomplete strategy
% 6.90/2.02 % (2820509)------------------------------
% 6.90/2.02 % (2820509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820509)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820509)Termination reason: Refutation not found, incomplete strategy
% 6.90/2.02 % (2820509)Time elapsed: 0.606 s
% 6.90/2.02 % (2820509)Peak memory usage: 128 MB
% 6.90/2.02 % (2820509)Instructions burned: 896 (million)
% 6.90/2.02 % (2820527)------------------------------
% 6.90/2.02 % (2820527)------------------------------
% 6.90/2.02 % (2820532)------------------------------
% 6.90/2.02 % (2820532)------------------------------
% 6.90/2.02 % (2820535)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=743468592:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.90/2.02 % (2820535)Refutation not found, incomplete strategy
% 6.90/2.02 % (2820535)------------------------------
% 6.90/2.02 % (2820535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820535)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820535)Termination reason: Refutation not found, incomplete strategy
% 6.90/2.02 % (2820535)Time elapsed: 0.001 s
% 6.90/2.02 % (2820535)Peak memory usage: 88 MB
% 6.90/2.02 % (2820536)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2902424300:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.90/2.02 % (2820537)lrs+10_1_sil=8000:sp=occurrence:random_seed=1442916445:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.90/2.02 % (2820507)First to succeed.
% 6.90/2.02 % (2820507)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2820502"
% 6.90/2.02 % (2820536)Instruction limit reached!
% 6.90/2.02 % (2820536)------------------------------
% 6.90/2.02 % (2820536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820536)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820536)Termination reason: Instruction limit
% 6.90/2.02 % (2820536)Termination phase: Saturation
% 6.90/2.02 % (2820536)Time elapsed: 0.035 s
% 6.90/2.02 % (2820536)Peak memory usage: 89 MB
% 6.90/2.02 % (2820536)Instructions burned: 115 (million)
% 6.90/2.02 % (2820509)------------------------------
% 6.90/2.02 % (2820509)------------------------------
% 6.90/2.02 % (2820508)Also succeeded, but the first one will report.
% 6.90/2.02 % (2820541)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3572015540:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.90/2.02 % (2820541)Refutation not found, incomplete strategy
% 6.90/2.02 % (2820541)------------------------------
% 6.90/2.02 % (2820541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.02 % (2820541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.02 % (2820541)CaDiCaL version: 2.1.3
% 6.90/2.02 % (2820541)Termination reason: Refutation not found, incomplete strategy
% 6.90/2.02 % (2820541)Time elapsed: 0.001 s
% 6.90/2.02 % (2820541)Peak memory usage: 88 MB
% 6.90/2.02 % (2820541)Instructions burned: 1 (million)
% 6.90/2.02 % (2820535)------------------------------
% 6.90/2.02 % (2820535)------------------------------
% 6.90/2.02 % (2820542)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1784399345:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.90/2.02 % (2820507)Refutation found. Thanks to Tanya!
% 6.90/2.02 % SZS status Theorem for theBenchmark
% 6.90/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 8.99/2.21 % (2820507)------------------------------
% 8.99/2.21 % (2820507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.21 % (2820507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.21 % (2820507)CaDiCaL version: 2.1.3
% 8.99/2.21 % (2820507)Termination reason: Refutation
% 8.99/2.21 % (2820507)Time elapsed: 0.774 s
% 8.99/2.21 % (2820507)Peak memory usage: 130 MB
% 8.99/2.21 % (2820507)Instructions burned: 1179 (million)
% 8.99/2.21 % (2820507)------------------------------
% 8.99/2.21 % (2820507)------------------------------
% 8.99/2.21 % (2820502)Success in time 1.19 s
% 8.99/2.21 % Vampire exiting
%------------------------------------------------------------------------------