%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL008+4 : 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 : n003.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 12:33:40 PM UTC 2026
% Result : Theorem 8.52s 2.31s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 95 ( 76 unt; 10 def)
% Number of atoms : 115 ( 90 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 21 ~; 16 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 91 !; 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(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(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( join(join(composition(X0,join(X1,X2)),composition(X0,X1)),composition(X0,X2)) = join(composition(X0,X1),composition(X0,X2))
& join(join(composition(X0,X1),composition(X0,X2)),composition(X0,join(X1,X2))) = composition(X0,join(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( join(join(composition(X0,join(X1,X2)),composition(X0,X1)),composition(X0,X2)) = join(composition(X0,X1),composition(X0,X2))
& join(join(composition(X0,X1),composition(X0,X2)),composition(X0,join(X1,X2))) = composition(X0,join(X1,X2)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( join(join(composition(X0,join(X1,X2)),composition(X0,X1)),composition(X0,X2)) != join(composition(X0,X1),composition(X0,X2))
| composition(X0,join(X1,X2)) != join(join(composition(X0,X1),composition(X0,X2)),composition(X0,join(X1,X2))) ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( join(join(composition(sK0,join(sK1,sK2)),composition(sK0,sK1)),composition(sK0,sK2)) != join(composition(sK0,sK1),composition(sK0,sK2))
| composition(sK0,join(sK1,sK2)) != join(join(composition(sK0,sK1),composition(sK0,sK2)),composition(sK0,join(sK1,sK2))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[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(f26,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
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(f37,plain,
( join(join(composition(sK0,join(sK1,sK2)),composition(sK0,sK1)),composition(sK0,sK2)) != join(composition(sK0,sK1),composition(sK0,sK2))
| composition(sK0,join(sK1,sK2)) != join(join(composition(sK0,sK1),composition(sK0,sK2)),composition(sK0,join(sK1,sK2))) ),
inference(cnf_transformation,[],[f20]) ).
fof(f42,definition,
sF3 = join(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f43,plain,
join(sK1,sK2) = sF3,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF4 = composition(sK0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f45,plain,
composition(sK0,sF3) = sF4,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF5 = composition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f47,plain,
composition(sK0,sK1) = sF5,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF6 = join(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f49,plain,
join(sF4,sF5) = sF6,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF7 = composition(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f51,plain,
composition(sK0,sK2) = sF7,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF8 = join(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f53,plain,
join(sF6,sF7) = sF8,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF9 = join(sF5,sF7),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f55,plain,
join(sF5,sF7) = sF9,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF10 = join(sF9,sF4),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f57,plain,
join(sF9,sF4) = sF10,
inference(reorient_equations,[],[f56]) ).
fof(f58,plain,
( sF8 != sF9
| sF4 != sF10 ),
inference(definition_folding,[],[f37,f57,f45,f43,f55,f51,f47,f45,f43,f55,f51,f47,f53,f51,f49,f47,f45,f43]) ).
fof(f60,definition,
( spl11_1
<=> sF4 = sF10 ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f61,plain,
( sF4 = sF10
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f62,plain,
( sF4 != sF10
| spl11_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f64,definition,
( spl11_2
<=> sF8 = sF9 ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f66,plain,
( sF8 != sF9
| spl11_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f58,f64,f60]) ).
fof(f71,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f75,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f27,f30]) ).
fof(f99,plain,
sF10 = join(sF4,sF9),
inference(superposition,[],[f57,f21]) ).
fof(f113,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f75,f30]) ).
fof(f122,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f113,f29]) ).
fof(f125,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f122,f29]) ).
fof(f127,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f125,f30]) ).
fof(f145,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f127]) ).
fof(f146,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f145,f28]) ).
fof(f165,plain,
! [X0] : composition(sK0,join(sK1,X0)) = join(sF5,composition(sK0,X0)),
inference(superposition,[],[f146,f47]) ).
fof(f182,plain,
composition(sK0,sF3) = join(sF5,composition(sK0,sK2)),
inference(superposition,[],[f165,f43]) ).
fof(f197,plain,
composition(sK0,sF3) = join(sF5,sF7),
inference(forward_demodulation,[],[f182,f51]) ).
fof(f200,plain,
composition(sK0,sF3) = sF9,
inference(forward_demodulation,[],[f197,f55]) ).
fof(f203,plain,
sF4 = sF9,
inference(forward_demodulation,[],[f200,f45]) ).
fof(f204,plain,
sF10 = join(sF4,sF4),
inference(superposition,[],[f57,f203]) ).
fof(f258,plain,
! [X0] : join(sF4,join(sF5,X0)) = join(sF6,X0),
inference(superposition,[],[f22,f49]) ).
fof(f285,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f71,f26]) ).
fof(f297,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f285,f28]) ).
fof(f316,plain,
one = converse(one),
inference(superposition,[],[f26,f297]) ).
fof(f330,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f297,f316]) ).
fof(f477,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f22,f32]) ).
fof(f558,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f31,f297]) ).
fof(f567,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f558,f330]) ).
fof(f597,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(f824,plain,
join(sF6,sF7) = join(sF4,sF9),
inference(superposition,[],[f258,f55]) ).
fof(f850,plain,
join(sF6,sF7) = sF10,
inference(forward_demodulation,[],[f824,f99]) ).
fof(f854,plain,
sF8 = sF10,
inference(forward_demodulation,[],[f850,f53]) ).
fof(f1667,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f597,f567]) ).
fof(f1699,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f1667,f23]) ).
fof(f1731,plain,
! [X0,X1] : join(X1,complement(join(top,X0))) = X1,
inference(superposition,[],[f1699,f477]) ).
fof(f1745,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(complement(X0),join(complement(complement(X0)),X1)))) = X0,
inference(superposition,[],[f23,f1699]) ).
fof(f1785,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(top,X1))) = X0,
inference(forward_demodulation,[],[f1745,f477]) ).
fof(f1798,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1785,f1731]) ).
fof(f1812,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f567,f1798]) ).
fof(f1897,plain,
sF4 = sF10,
inference(superposition,[],[f1812,f204]) ).
fof(f1965,plain,
( $false
| spl11_1 ),
inference(forward_subsumption_resolution,[],[f1897,f62]) ).
fof(f1966,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f1965]) ).
fof(f1980,plain,
( sF4 = sF8
| ~ spl11_1 ),
inference(forward_demodulation,[],[f61,f854]) ).
fof(f1981,plain,
( sF4 != sF8
| spl11_2 ),
inference(forward_demodulation,[],[f66,f203]) ).
fof(f1984,plain,
( $false
| ~ spl11_1
| spl11_2 ),
inference(forward_subsumption_resolution,[],[f1981,f1980]) ).
fof(f1985,plain,
( ~ spl11_1
| spl11_2 ),
inference(avatar_contradiction_clause,[],[f1984]) ).
cnf(s1,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(sat_conversion,[],[f67]) ).
cnf(s3,plain,
spl11_1,
inference(sat_conversion,[],[f1966]) ).
cnf(s4,plain,
( ~ spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f1985]) ).
cnf(s5,plain,
spl11_2,
inference(rat,[],[s4,s3]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5,s3]) ).
fof(f1986,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL008+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:52:14 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 8.52/2.31 % (1010134)Detected formulas, will run a generic FOF schedule.
% 8.52/2.31 % (1010157)dis-21_1_sil=8000:lcm=predicate:random_seed=2464612327: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)
% 8.52/2.31 % (1010157)Refutation not found, incomplete strategy
% 8.52/2.31 % (1010157)------------------------------
% 8.52/2.31 % (1010157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010157)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010157)Termination reason: Refutation not found, incomplete strategy
% 8.52/2.31 % (1010157)Time elapsed: 0.002 s
% 8.52/2.31 % (1010157)Peak memory usage: 88 MB
% 8.52/2.31 % (1010157)Instructions burned: 1 (million)
% 8.52/2.31 % (1010151)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=4129657070:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.52/2.31 % (1010156)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2043520160:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.52/2.31 % (1010152)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=1169828979:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.52/2.31 % (1010155)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4179650680:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.52/2.31 % (1010153)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=203538951:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.52/2.31 % (1010154)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1021647490:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.52/2.31 % (1010154)Refutation not found, incomplete strategy
% 8.52/2.31 % (1010154)------------------------------
% 8.52/2.31 % (1010154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010154)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010154)Termination reason: Refutation not found, incomplete strategy
% 8.52/2.31 % (1010154)Time elapsed: 0.002 s
% 8.52/2.31 % (1010154)Peak memory usage: 88 MB
% 8.52/2.31 % (1010154)Instructions burned: 1 (million)
% 8.52/2.31 % (1010156)Instruction limit reached!
% 8.52/2.31 % (1010156)------------------------------
% 8.52/2.31 % (1010156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010156)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010156)Termination reason: Instruction limit
% 8.52/2.31 % (1010156)Termination phase: Saturation
% 8.52/2.31 % (1010156)Time elapsed: 0.086 s
% 8.52/2.31 % (1010156)Peak memory usage: 90 MB
% 8.52/2.31 % (1010156)Instructions burned: 139 (million)
% 8.52/2.31 % (1010155)Instruction limit reached!
% 8.52/2.31 % (1010155)------------------------------
% 8.52/2.31 % (1010155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010155)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010155)Termination reason: Instruction limit
% 8.52/2.31 % (1010155)Termination phase: Saturation
% 8.52/2.31 % (1010155)Time elapsed: 0.098 s
% 8.52/2.31 % (1010155)Peak memory usage: 88 MB
% 8.52/2.31 % (1010155)Instructions burned: 119 (million)
% 8.52/2.31 % (1010157)------------------------------
% 8.52/2.31 % (1010157)------------------------------
% 8.52/2.31 % (1010172)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1962414815:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.52/2.31 % (1010169)lrs+10_1_sil=8000:sp=occurrence:random_seed=128777611:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 8.52/2.31 % (1010154)------------------------------
% 8.52/2.31 % (1010154)------------------------------
% 8.52/2.31 % (1010171)lrs+10_1_sil=32000:urr=on:br=off:random_seed=694781360:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 8.52/2.31 % (1010172)Instruction limit reached!
% 8.52/2.31 % (1010172)------------------------------
% 8.52/2.31 % (1010172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010172)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010172)Termination reason: Instruction limit
% 8.52/2.31 % (1010172)Termination phase: Saturation
% 8.52/2.31 % (1010172)Time elapsed: 0.161 s
% 8.52/2.31 % (1010172)Peak memory usage: 93 MB
% 8.52/2.31 % (1010172)Instructions burned: 327 (million)
% 8.52/2.31 % (1010171)Instruction limit reached!
% 8.52/2.31 % (1010171)------------------------------
% 8.52/2.31 % (1010171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010171)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010171)Termination reason: Instruction limit
% 8.52/2.31 % (1010171)Termination phase: Saturation
% 8.52/2.31 % (1010171)Time elapsed: 0.109 s
% 8.52/2.31 % (1010171)Peak memory usage: 89 MB
% 8.52/2.31 % (1010171)Instructions burned: 158 (million)
% 8.52/2.31 % (1010169)Instruction limit reached!
% 8.52/2.31 % (1010169)------------------------------
% 8.52/2.31 % (1010169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010169)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010169)Termination reason: Instruction limit
% 8.52/2.31 % (1010169)Termination phase: Saturation
% 8.52/2.31 % (1010169)Time elapsed: 0.186 s
% 8.52/2.31 % (1010169)Peak memory usage: 89 MB
% 8.52/2.31 % (1010169)Instructions burned: 287 (million)
% 8.52/2.31 % (1010180)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=927693488:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 8.52/2.31 % (1010182)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3786000426:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.52/2.31 % (1010182)Refutation not found, incomplete strategy
% 8.52/2.31 % (1010182)------------------------------
% 8.52/2.31 % (1010182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010182)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010182)Termination reason: Refutation not found, incomplete strategy
% 8.52/2.31 % (1010182)Time elapsed: 0.001 s
% 8.52/2.31 % (1010182)Peak memory usage: 88 MB
% 8.52/2.31 % (1010182)Instructions burned: 2 (million)
% 8.52/2.31 % (1010183)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1206446839:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 8.52/2.31 % (1010184)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4166165278:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 8.52/2.31 % (1010184)Refutation not found, incomplete strategy
% 8.52/2.31 % (1010184)------------------------------
% 8.52/2.31 % (1010184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010184)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010184)Termination reason: Refutation not found, incomplete strategy
% 8.52/2.31 % (1010184)Time elapsed: 0.002 s
% 8.52/2.31 % (1010184)Peak memory usage: 89 MB
% 8.52/2.31 % (1010184)Instructions burned: 1 (million)
% 8.52/2.31 % (1010180)Instruction limit reached!
% 8.52/2.31 % (1010180)------------------------------
% 8.52/2.31 % (1010180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010180)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010180)Termination reason: Instruction limit
% 8.52/2.31 % (1010180)Termination phase: Saturation
% 8.52/2.31 % (1010180)Time elapsed: 0.138 s
% 8.52/2.31 % (1010180)Peak memory usage: 90 MB
% 8.52/2.31 % (1010180)Instructions burned: 248 (million)
% 8.52/2.31 % (1010182)------------------------------
% 8.52/2.31 % (1010182)------------------------------
% 8.52/2.31 % (1010153)Refutation not found, incomplete strategy
% 8.52/2.31 % (1010153)------------------------------
% 8.52/2.31 % (1010153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010153)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010153)Termination reason: Refutation not found, incomplete strategy
% 8.52/2.31 % (1010153)Time elapsed: 0.833 s
% 8.52/2.31 % (1010153)Peak memory usage: 128 MB
% 8.52/2.31 % (1010153)Instructions burned: 894 (million)
% 8.52/2.31 % (1010189)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2894142431:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 8.52/2.31 % (1010189)Refutation not found, incomplete strategy
% 8.52/2.31 % (1010189)------------------------------
% 8.52/2.31 % (1010189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010189)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010189)Termination reason: Refutation not found, incomplete strategy
% 8.52/2.31 % (1010189)Time elapsed: 0.001 s
% 8.52/2.31 % (1010189)Peak memory usage: 88 MB
% 8.52/2.31 % (1010189)Instructions burned: 1 (million)
% 8.52/2.31 % (1010190)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=30146980:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 8.52/2.31 % (1010190)Instruction limit reached!
% 8.52/2.31 % (1010190)------------------------------
% 8.52/2.31 % (1010190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010190)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010190)Termination reason: Instruction limit
% 8.52/2.31 % (1010190)Termination phase: Saturation
% 8.52/2.31 % (1010190)Time elapsed: 0.037 s
% 8.52/2.31 % (1010190)Peak memory usage: 89 MB
% 8.52/2.31 % (1010190)Instructions burned: 117 (million)
% 8.52/2.31 % (1010184)------------------------------
% 8.52/2.31 % (1010184)------------------------------
% 8.52/2.31 % (1010151)First to succeed.
% 8.52/2.31 % (1010151)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1010134"
% 8.52/2.31 % (1010209)lrs+10_1_sil=8000:sp=occurrence:random_seed=1802161739:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 8.52/2.31 % (1010153)------------------------------
% 8.52/2.31 % (1010153)------------------------------
% 8.52/2.31 % (1010216)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=644593795:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 8.52/2.31 % (1010189)------------------------------
% 8.52/2.31 % (1010189)------------------------------
% 8.52/2.31 % (1010216)Refutation not found, incomplete strategy
% 8.52/2.31 % (1010216)------------------------------
% 8.52/2.31 % (1010216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.31 % (1010216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.31 % (1010216)CaDiCaL version: 2.1.3
% 8.52/2.31 % (1010216)Termination reason: Refutation not found, incomplete strategy
% 8.52/2.31 % (1010216)Time elapsed: 0.001 s
% 8.52/2.31 % (1010216)Peak memory usage: 89 MB
% 8.52/2.31 % (1010216)Instructions burned: 1 (million)
% 8.52/2.31 % (1010152)Also succeeded, but the first one will report.
% 8.52/2.31 % (1010151)Refutation found. Thanks to Tanya!
% 8.52/2.31 % SZS status Theorem for theBenchmark
% 8.52/2.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/2.50 % (1010151)------------------------------
% 0.21/2.50 % (1010151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.50 % (1010151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.50 % (1010151)CaDiCaL version: 2.1.3
% 0.21/2.50 % (1010151)Termination reason: Refutation
% 0.21/2.50 % (1010151)Time elapsed: 0.993 s
% 0.21/2.50 % (1010151)Peak memory usage: 132 MB
% 0.21/2.50 % (1010151)Instructions burned: 1269 (million)
% 0.21/2.50 % (1010151)------------------------------
% 0.21/2.50 % (1010151)------------------------------
% 0.21/2.50 % (1010134)Success in time 1.471 s
% 0.21/2.50 % Vampire exiting
%------------------------------------------------------------------------------