%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL004+3 : 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 : n013.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 12:33:37 PM UTC 2026
% Result : Theorem 4.38s 1.60s
% Output : Refutation 5.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 16
% Syntax : Number of formulae : 82 ( 82 unt; 4 def)
% Number of atoms : 82 ( 81 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 98 ( 97 !; 1 ?)
% 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(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(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f17,conjecture,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] : converse(complement(X0)) != complement(converse(X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f42,definition,
sF1 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f43,plain,
complement(sK0) = sF1,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF2 = converse(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f45,plain,
converse(sF1) = sF2,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF3 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f47,plain,
converse(sK0) = sF3,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f49,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f48]) ).
fof(f50,plain,
sF2 != sF4,
inference(definition_folding,[],[f37,f49,f47,f45,f43]) ).
fof(f51,plain,
sK0 = converse(sF3),
inference(superposition,[],[f28,f47]) ).
fof(f88,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f89,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f23,f21]) ).
fof(f105,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f89,f21]) ).
fof(f111,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f28]) ).
fof(f114,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f28]) ).
fof(f149,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f162,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),X0))),
inference(superposition,[],[f88,f38]) ).
fof(f188,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f149,f26]) ).
fof(f199,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f188,f28]) ).
fof(f211,plain,
one = converse(one),
inference(superposition,[],[f26,f199]) ).
fof(f213,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f199,f211]) ).
fof(f225,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f31,f213]) ).
fof(f226,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f225,f199]) ).
fof(f248,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f111,f32]) ).
fof(f329,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f23]) ).
fof(f527,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f329,f226]) ).
fof(f540,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f527,f23]) ).
fof(f590,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f540,f248]) ).
fof(f888,plain,
! [X0] : join(zero,complement(join(complement(complement(complement(X0))),complement(X0)))) = X0,
inference(superposition,[],[f105,f38]) ).
fof(f940,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f888,f162]) ).
fof(f980,plain,
sF3 = complement(sF4),
inference(superposition,[],[f940,f49]) ).
fof(f996,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f105,f940]) ).
fof(f1123,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f996,f21]) ).
fof(f1321,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(complement(complement(join(X0,X1))),complement(join(complement(X1),X0))))),
inference(superposition,[],[f1123,f996]) ).
fof(f1430,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1321,f940]) ).
fof(f1480,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1430,f22]) ).
fof(f1510,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1480,f540]) ).
fof(f1522,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1510,f940]) ).
fof(f1525,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1522,f940]) ).
fof(f1530,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1525,f21]) ).
fof(f1551,plain,
! [X0] : join(X0,complement(converse(top))) = join(complement(converse(complement(converse(X0)))),X0),
inference(superposition,[],[f1525,f248]) ).
fof(f1606,plain,
! [X0] : join(complement(converse(complement(converse(X0)))),X0) = X0,
inference(forward_demodulation,[],[f1551,f590]) ).
fof(f1973,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(superposition,[],[f23,f1606]) ).
fof(f1975,plain,
! [X0] : converse(converse(X0)) = join(converse(complement(converse(complement(converse(converse(X0)))))),X0),
inference(superposition,[],[f114,f1606]) ).
fof(f1977,plain,
! [X0] : join(converse(complement(converse(complement(X0)))),X0) = X0,
inference(forward_demodulation,[],[f1975,f28]) ).
fof(f1979,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f1973,f940]) ).
fof(f1995,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(converse(complement(converse(complement(X0)))))),X0),
inference(forward_demodulation,[],[f1979,f1530]) ).
fof(f2003,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(converse(complement(converse(complement(X0)))),X0),
inference(forward_demodulation,[],[f1995,f940]) ).
fof(f2006,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f2003,f1977]) ).
fof(f2087,plain,
sF4 = converse(complement(converse(sF3))),
inference(superposition,[],[f2006,f980]) ).
fof(f2106,plain,
converse(complement(sK0)) = sF4,
inference(forward_demodulation,[],[f2087,f51]) ).
fof(f2111,plain,
converse(sF1) = sF4,
inference(forward_demodulation,[],[f2106,f43]) ).
fof(f2114,plain,
sF2 = sF4,
inference(forward_demodulation,[],[f2111,f45]) ).
fof(f2115,plain,
$false,
inference(forward_subsumption_resolution,[],[f2114,f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL004+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n013.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 22:49:21 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 4.38/1.59 % (632969)Detected formulas, will run a generic FOF schedule.
% 4.38/1.59 % (632974)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=2563506342:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.38/1.59 % (632980)dis-21_1_sil=8000:lcm=predicate:random_seed=462250711: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)
% 4.38/1.59 % (632979)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3900282655:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.38/1.59 % (632975)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=4035842047:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.38/1.59 % (632976)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=1490882309:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.38/1.59 % (632977)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2949491779:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.38/1.59 % (632978)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4292043006:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.38/1.59 % (632977)Refutation not found, incomplete strategy
% 4.38/1.59 % (632977)------------------------------
% 4.38/1.59 % (632977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.59 % (632977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.59 % (632977)CaDiCaL version: 2.1.3
% 4.38/1.59 % (632977)Termination reason: Refutation not found, incomplete strategy
% 4.38/1.59 % (632977)Time elapsed: 0.001 s
% 4.38/1.59 % (632977)Peak memory usage: 88 MB
% 4.38/1.59 % (632980)Refutation not found, incomplete strategy
% 4.38/1.59 % (632980)------------------------------
% 4.38/1.59 % (632980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.59 % (632980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.60 % (632980)CaDiCaL version: 2.1.3
% 4.38/1.60 % (632980)Termination reason: Refutation not found, incomplete strategy
% 4.38/1.60 % (632980)Time elapsed: 0.002 s
% 4.38/1.60 % (632980)Peak memory usage: 88 MB
% 4.38/1.60 % (632980)Instructions burned: 1 (million)
% 4.38/1.60 % (632978)Instruction limit reached!
% 4.38/1.60 % (632978)------------------------------
% 4.38/1.60 % (632978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.60 % (632978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.60 % (632978)CaDiCaL version: 2.1.3
% 4.38/1.60 % (632978)Termination reason: Instruction limit
% 4.38/1.60 % (632978)Termination phase: Saturation
% 4.38/1.60 % (632978)Time elapsed: 0.066 s
% 4.38/1.60 % (632978)Peak memory usage: 88 MB
% 4.38/1.60 % (632978)Instructions burned: 121 (million)
% 4.38/1.60 % (632979)Instruction limit reached!
% 4.38/1.60 % (632979)------------------------------
% 4.38/1.60 % (632979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.60 % (632979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.60 % (632979)CaDiCaL version: 2.1.3
% 4.38/1.60 % (632979)Termination reason: Instruction limit
% 4.38/1.60 % (632979)Termination phase: Saturation
% 4.38/1.60 % (632979)Time elapsed: 0.083 s
% 4.38/1.60 % (632979)Peak memory usage: 89 MB
% 4.38/1.60 % (632979)Instructions burned: 139 (million)
% 4.38/1.60 % (632988)lrs+10_1_sil=8000:sp=occurrence:random_seed=4195036820:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.38/1.60 % (632989)lrs+10_1_sil=32000:urr=on:br=off:random_seed=608541337:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.38/1.60 % (632980)------------------------------
% 4.38/1.60 % (632980)------------------------------
% 4.38/1.60 % (632977)------------------------------
% 4.38/1.60 % (632977)------------------------------
% 4.38/1.60 % (632989)Instruction limit reached!
% 4.38/1.60 % (632989)------------------------------
% 4.38/1.60 % (632989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.60 % (632989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.60 % (632989)CaDiCaL version: 2.1.3
% 4.38/1.60 % (632989)Termination reason: Instruction limit
% 4.38/1.60 % (632989)Termination phase: Saturation
% 4.38/1.60 % (632989)Time elapsed: 0.093 s
% 4.38/1.60 % (632989)Peak memory usage: 91 MB
% 4.38/1.60 % (632989)Instructions burned: 158 (million)
% 4.38/1.60 % (632988)Instruction limit reached!
% 4.38/1.60 % (632988)------------------------------
% 4.38/1.60 % (632988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.60 % (632988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.60 % (632988)CaDiCaL version: 2.1.3
% 4.38/1.60 % (632988)Termination reason: Instruction limit
% 4.38/1.60 % (632988)Termination phase: Saturation
% 4.38/1.60 % (632988)Time elapsed: 0.168 s
% 4.38/1.60 % (632988)Peak memory usage: 91 MB
% 4.38/1.60 % (632988)Instructions burned: 285 (million)
% 4.38/1.60 % (632974)First to succeed.
% 4.38/1.60 % (632974)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-632969"
% 4.38/1.60 % (632993)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=2028984209:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.38/1.60 % (632992)lrs+1011_1_sil=32000:sp=occurrence:random_seed=139828968:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.38/1.60 % (632994)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4191412218:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.38/1.60 % (632994)Refutation not found, incomplete strategy
% 4.38/1.60 % (632994)------------------------------
% 4.38/1.60 % (632994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.60 % (632994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.60 % (632994)CaDiCaL version: 2.1.3
% 4.38/1.60 % (632994)Termination reason: Refutation not found, incomplete strategy
% 4.38/1.60 % (632994)Time elapsed: 0.002 s
% 4.38/1.60 % (632994)Peak memory usage: 88 MB
% 4.38/1.60 % (632994)Instructions burned: 1 (million)
% 4.38/1.60 % (632995)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=659346942:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.38/1.60 % (632974)Refutation found. Thanks to Tanya!
% 4.38/1.60 % SZS status Theorem for theBenchmark
% 4.38/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 5.86/1.79 % (632974)------------------------------
% 5.86/1.79 % (632974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.79 % (632974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.79 % (632974)CaDiCaL version: 2.1.3
% 5.86/1.79 % (632974)Termination reason: Refutation
% 5.86/1.79 % (632974)Time elapsed: 0.458 s
% 5.86/1.79 % (632974)Peak memory usage: 131 MB
% 5.86/1.79 % (632974)Instructions burned: 1214 (million)
% 5.86/1.79 % (632974)------------------------------
% 5.86/1.79 % (632974)------------------------------
% 5.86/1.79 % (632969)Success in time 0.753 s
% 5.86/1.79 % Vampire exiting
%------------------------------------------------------------------------------