%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MVA009-1 : TPTP v9.3.1. Released v8.1.0.
% 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 12:05:52 PM UTC 2026
% Result : Unsatisfiable 23.19s 6.93s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 109 ( 109 unt; 7 def)
% Number of atoms : 109 ( 108 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 134 ( 134 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f3,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption_a) ).
fof(f8,axiom,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption_b) ).
fof(f9,axiom,
! [X2,X0,X1] : join(op(X0,meet(ld(X0,X1),X2)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',residual_a) ).
fof(f10,axiom,
! [X2,X0,X1] : join(op(meet(X0,rd(X1,X2)),X2),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',residual_b) ).
fof(f11,axiom,
! [X2,X0,X1] : meet(ld(X0,join(op(X0,X1),X2)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',residual_c) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(rd(join(op(X0,X1),X2),X1),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',residual_d) ).
fof(f13,axiom,
! [X2,X0,X1] : op(op(X0,X1),X2) = op(X0,op(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoid_associativity) ).
fof(f14,axiom,
! [X0] : op(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_monoid_unit) ).
fof(f15,axiom,
! [X0] : op(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_monoid_unit) ).
fof(f17,axiom,
! [X0,X1] : join(X0,X1) = ld(rd(X0,join(X0,X1)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',generalized_mv_algebra_b) ).
fof(f18,axiom,
! [X0,X1] : at(X0,X1) = op(op(X0,ld(X0,unit)),ld(ld(X1,unit),unit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_at) ).
fof(f19,negated_conjecture,
at(unit,op(x,ld(x,unit))) != unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f20,plain,
unit != at(unit,op(x,ld(x,unit))),
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
unit != op(op(unit,ld(unit,unit)),ld(ld(op(x,ld(x,unit)),unit),unit)),
inference(definition_unfolding,[],[f20,f18]) ).
fof(f22,definition,
sF0 = ld(unit,unit),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f23,plain,
ld(unit,unit) = sF0,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF1 = op(unit,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f25,plain,
op(unit,sF0) = sF1,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF2 = ld(x,unit),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f27,plain,
ld(x,unit) = sF2,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF3 = op(x,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f29,plain,
op(x,sF2) = sF3,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF4 = ld(sF3,unit),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f31,plain,
ld(sF3,unit) = sF4,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF5 = ld(sF4,unit),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f33,plain,
ld(sF4,unit) = sF5,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF6 = op(sF1,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f35,plain,
op(sF1,sF5) = sF6,
inference(reorient_equations,[],[f34]) ).
fof(f36,plain,
unit != sF6,
inference(definition_folding,[],[f21,f35,f33,f31,f29,f27,f25,f23]) ).
fof(f37,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f7,f6]) ).
fof(f38,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[],[f8,f5]) ).
fof(f39,plain,
! [X2,X0,X1] : join(X1,op(X0,meet(ld(X0,X1),X2))) = X1,
inference(forward_demodulation,[],[f9,f6]) ).
fof(f40,plain,
! [X2,X0,X1] : join(X1,op(meet(X0,rd(X1,X2)),X2)) = X1,
inference(forward_demodulation,[],[f10,f6]) ).
fof(f41,plain,
! [X2,X0,X1] : meet(X1,ld(X0,join(op(X0,X1),X2))) = X1,
inference(forward_demodulation,[],[f11,f5]) ).
fof(f42,plain,
! [X2,X0,X1] : meet(X0,rd(join(op(X0,X1),X2),X1)) = X0,
inference(forward_demodulation,[],[f12,f5]) ).
fof(f43,plain,
sF0 = sF1,
inference(forward_demodulation,[],[f25,f14]) ).
fof(f44,plain,
sF6 = op(sF0,sF5),
inference(superposition,[],[f35,f43]) ).
fof(f52,plain,
! [X0,X1] : meet(X1,ld(X0,op(X0,X1))) = X1,
inference(superposition,[],[f41,f37]) ).
fof(f59,plain,
! [X0,X1] : join(X1,op(X0,ld(X0,X1))) = X1,
inference(superposition,[],[f39,f38]) ).
fof(f73,plain,
! [X0] : op(x,op(sF2,X0)) = op(sF3,X0),
inference(superposition,[],[f13,f29]) ).
fof(f84,plain,
! [X0] : unit = meet(unit,ld(X0,X0)),
inference(superposition,[],[f52,f15]) ).
fof(f86,plain,
! [X0] : meet(X0,ld(unit,X0)) = X0,
inference(superposition,[],[f52,f14]) ).
fof(f101,plain,
! [X0,X1] : meet(X0,rd(op(X0,X1),X1)) = X0,
inference(superposition,[],[f42,f39]) ).
fof(f105,plain,
! [X0] : meet(X0,rd(X0,unit)) = X0,
inference(superposition,[],[f101,f15]) ).
fof(f116,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f37,f5]) ).
fof(f117,plain,
! [X2,X0,X1] : join(X2,op(X1,meet(X0,ld(X1,X2)))) = X2,
inference(superposition,[],[f39,f5]) ).
fof(f138,plain,
unit = join(unit,op(x,sF2)),
inference(superposition,[],[f59,f27]) ).
fof(f143,plain,
! [X2,X0,X1] : join(X2,op(X0,op(X1,ld(op(X0,X1),X2)))) = X2,
inference(superposition,[],[f59,f13]) ).
fof(f150,plain,
unit = join(unit,sF3),
inference(forward_demodulation,[],[f138,f29]) ).
fof(f171,plain,
! [X2,X0,X1] : meet(X2,ld(X1,join(X0,op(X1,X2)))) = X2,
inference(superposition,[],[f41,f6]) ).
fof(f172,plain,
! [X0,X1] : join(X0,X1) = ld(rd(X1,join(X0,X1)),X1),
inference(superposition,[],[f17,f6]) ).
fof(f173,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f38,f6]) ).
fof(f218,plain,
! [X2,X3,X0,X1] : join(X3,op(X2,meet(X0,meet(X1,ld(X2,X3))))) = X3,
inference(superposition,[],[f117,f1]) ).
fof(f269,plain,
! [X0,X1] : op(X1,ld(X1,X0)) = meet(op(X1,ld(X1,X0)),X0),
inference(superposition,[],[f173,f59]) ).
fof(f282,plain,
! [X0,X1] : op(X1,ld(X1,X0)) = meet(X0,op(X1,ld(X1,X0))),
inference(forward_demodulation,[],[f269,f5]) ).
fof(f301,plain,
! [X2,X0,X1] : ld(X1,join(X2,op(X1,X0))) = join(ld(X1,join(X2,op(X1,X0))),X0),
inference(superposition,[],[f116,f171]) ).
fof(f302,plain,
! [X0,X1] : ld(X1,op(X1,X0)) = join(ld(X1,op(X1,X0)),X0),
inference(superposition,[],[f116,f52]) ).
fof(f318,plain,
! [X0,X1] : ld(X1,op(X1,X0)) = join(X0,ld(X1,op(X1,X0))),
inference(forward_demodulation,[],[f302,f6]) ).
fof(f319,plain,
! [X2,X0,X1] : ld(X1,join(X2,op(X1,X0))) = join(X0,ld(X1,join(X2,op(X1,X0)))),
inference(forward_demodulation,[],[f301,f6]) ).
fof(f330,plain,
! [X0] : ld(unit,X0) = meet(X0,ld(unit,X0)),
inference(superposition,[],[f282,f14]) ).
fof(f337,plain,
! [X0] : ld(unit,X0) = X0,
inference(forward_demodulation,[],[f330,f86]) ).
fof(f349,plain,
unit = sF0,
inference(superposition,[],[f23,f337]) ).
fof(f358,plain,
sF6 = op(unit,sF5),
inference(superposition,[],[f44,f349]) ).
fof(f359,plain,
sF5 = sF6,
inference(forward_demodulation,[],[f358,f14]) ).
fof(f361,plain,
unit != sF5,
inference(superposition,[],[f36,f359]) ).
fof(f443,plain,
! [X0,X1] : join(X0,op(rd(X0,X1),X1)) = X0,
inference(superposition,[],[f40,f3]) ).
fof(f1154,plain,
! [X0,X1] : op(rd(X0,X1),X1) = meet(op(rd(X0,X1),X1),X0),
inference(superposition,[],[f173,f443]) ).
fof(f1166,plain,
! [X0,X1] : op(rd(X0,X1),X1) = meet(X0,op(rd(X0,X1),X1)),
inference(forward_demodulation,[],[f1154,f5]) ).
fof(f1429,plain,
! [X0] : rd(X0,unit) = meet(X0,rd(X0,unit)),
inference(superposition,[],[f1166,f15]) ).
fof(f1445,plain,
! [X0] : rd(X0,unit) = X0,
inference(forward_demodulation,[],[f1429,f105]) ).
fof(f4200,plain,
! [X2,X0,X1] : op(X1,X0) = join(op(X1,X0),op(X1,meet(X2,X0))),
inference(superposition,[],[f218,f52]) ).
fof(f4322,plain,
! [X2,X0,X1] : op(X1,join(X0,X2)) = join(op(X1,join(X0,X2)),op(X1,X0)),
inference(superposition,[],[f4200,f38]) ).
fof(f4349,plain,
! [X0,X1] : op(X0,ld(X1,X1)) = join(op(X0,ld(X1,X1)),op(X0,unit)),
inference(superposition,[],[f4200,f84]) ).
fof(f4404,plain,
! [X0,X1] : op(X0,ld(X1,X1)) = join(op(X0,unit),op(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f4349,f6]) ).
fof(f4424,plain,
! [X2,X0,X1] : op(X1,join(X0,X2)) = join(op(X1,X0),op(X1,join(X0,X2))),
inference(forward_demodulation,[],[f4322,f6]) ).
fof(f4439,plain,
! [X0,X1] : op(X0,ld(X1,X1)) = join(X0,op(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f4404,f15]) ).
fof(f4463,plain,
! [X0] : op(X0,ld(X0,X0)) = X0,
inference(superposition,[],[f59,f4439]) ).
fof(f4545,plain,
! [X0,X1] : ld(X0,X0) = meet(ld(X0,X0),ld(X0,join(X1,X0))),
inference(superposition,[],[f171,f4463]) ).
fof(f5162,plain,
ld(sF3,sF3) = meet(ld(sF3,sF3),ld(sF3,unit)),
inference(superposition,[],[f4545,f150]) ).
fof(f5192,plain,
ld(sF3,sF3) = meet(ld(sF3,unit),ld(sF3,sF3)),
inference(forward_demodulation,[],[f5162,f5]) ).
fof(f5221,plain,
ld(sF3,sF3) = meet(sF4,ld(sF3,sF3)),
inference(forward_demodulation,[],[f5192,f31]) ).
fof(f6026,plain,
! [X2,X0,X1] : op(X1,ld(op(X2,X1),X0)) = meet(op(X1,ld(op(X2,X1),X0)),ld(X2,X0)),
inference(superposition,[],[f171,f143]) ).
fof(f6080,plain,
! [X2,X0,X1] : op(X1,ld(op(X2,X1),X0)) = meet(ld(X2,X0),op(X1,ld(op(X2,X1),X0))),
inference(forward_demodulation,[],[f6026,f5]) ).
fof(f6130,plain,
! [X2,X0,X1] : ld(X1,X2) = join(ld(X1,X2),op(X0,ld(op(X1,X0),X2))),
inference(superposition,[],[f37,f6080]) ).
fof(f7607,plain,
! [X0,X1] : ld(X0,join(X1,X0)) = join(unit,ld(X0,join(X1,X0))),
inference(superposition,[],[f319,f15]) ).
fof(f11083,plain,
ld(sF3,unit) = join(unit,ld(sF3,unit)),
inference(superposition,[],[f7607,f150]) ).
fof(f11132,plain,
sF4 = join(unit,sF4),
inference(forward_demodulation,[],[f11083,f31]) ).
fof(f11169,plain,
! [X0] : op(X0,sF4) = join(op(X0,unit),op(X0,sF4)),
inference(superposition,[],[f4424,f11132]) ).
fof(f11179,plain,
! [X0] : op(X0,sF4) = join(X0,op(X0,sF4)),
inference(forward_demodulation,[],[f11169,f15]) ).
fof(f12058,plain,
sF4 = join(sF4,ld(sF3,sF3)),
inference(superposition,[],[f37,f5221]) ).
fof(f17021,plain,
unit = ld(rd(sF3,unit),sF3),
inference(superposition,[],[f172,f150]) ).
fof(f17067,plain,
unit = ld(sF3,sF3),
inference(forward_demodulation,[],[f17021,f1445]) ).
fof(f17724,plain,
! [X0] : ld(x,X0) = join(ld(x,X0),op(sF2,ld(sF3,X0))),
inference(superposition,[],[f6130,f29]) ).
fof(f18214,plain,
ld(x,unit) = join(ld(x,unit),op(sF2,sF4)),
inference(superposition,[],[f17724,f31]) ).
fof(f18282,plain,
sF2 = join(sF2,op(sF2,sF4)),
inference(forward_demodulation,[],[f18214,f27]) ).
fof(f18288,plain,
sF2 = op(sF2,sF4),
inference(forward_demodulation,[],[f18282,f11179]) ).
fof(f18293,plain,
op(x,sF2) = op(sF3,sF4),
inference(superposition,[],[f73,f18288]) ).
fof(f18336,plain,
sF3 = op(sF3,sF4),
inference(forward_demodulation,[],[f18293,f29]) ).
fof(f18368,plain,
ld(sF3,sF3) = join(sF4,ld(sF3,sF3)),
inference(superposition,[],[f318,f18336]) ).
fof(f18384,plain,
sF4 = ld(sF3,sF3),
inference(forward_demodulation,[],[f18368,f12058]) ).
fof(f18392,plain,
unit = sF4,
inference(forward_demodulation,[],[f18384,f17067]) ).
fof(f18401,plain,
ld(unit,unit) = sF5,
inference(superposition,[],[f33,f18392]) ).
fof(f18432,plain,
sF0 = sF5,
inference(forward_demodulation,[],[f18401,f23]) ).
fof(f18433,plain,
unit = sF5,
inference(forward_demodulation,[],[f18432,f349]) ).
fof(f18434,plain,
$false,
inference(forward_subsumption_resolution,[],[f18433,f361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MVA009-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 % Computer : n009.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 27 17:46:00 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.48 Running first-order theorem proving
% 0.16/0.48 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
% 23.19/6.93 % (2280259)Detected a unit-equality problem, will run specialized UEQ schedule.
% 23.19/6.93 % (2280266)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1263571661:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 23.19/6.93 % (2280264)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=818920023:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 23.19/6.93 % (2280265)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1052005106:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 23.19/6.93 % (2280268)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3983722358:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 23.19/6.93 % (2280270)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2457905168:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 23.19/6.93 % (2280269)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3733057112:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 23.19/6.93 % (2280267)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1044621102:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 23.19/6.93 % (2280267)Instruction limit reached!
% 23.19/6.93 % (2280267)------------------------------
% 23.19/6.93 % (2280267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.19/6.93 % (2280267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/6.93 % (2280267)CaDiCaL version: 2.1.3
% 23.19/6.93 % (2280267)Termination reason: Instruction limit
% 23.19/6.93 % (2280267)Termination phase: Saturation
% 23.19/6.93 % (2280267)Time elapsed: 0.142 s
% 23.19/6.93 % (2280267)Peak memory usage: 89 MB
% 23.19/6.93 % (2280267)Instructions burned: 136 (million)
% 23.19/6.93 % (2280268)Instruction limit reached!
% 23.19/6.93 % (2280268)------------------------------
% 23.19/6.93 % (2280268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.19/6.93 % (2280268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/6.93 % (2280268)CaDiCaL version: 2.1.3
% 23.19/6.93 % (2280268)Termination reason: Instruction limit
% 23.19/6.93 % (2280268)Termination phase: Saturation
% 23.19/6.93 % (2280268)Time elapsed: 0.182 s
% 23.19/6.93 % (2280268)Peak memory usage: 90 MB
% 23.19/6.93 % (2280268)Instructions burned: 181 (million)
% 23.19/6.93 % (2280269)Instruction limit reached!
% 23.19/6.93 % (2280269)------------------------------
% 23.19/6.93 % (2280269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.19/6.93 % (2280269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/6.93 % (2280269)CaDiCaL version: 2.1.3
% 23.19/6.93 % (2280269)Termination reason: Instruction limit
% 23.19/6.93 % (2280269)Termination phase: Saturation
% 23.19/6.93 % (2280269)Time elapsed: 0.282 s
% 23.19/6.93 % (2280269)Peak memory usage: 90 MB
% 23.19/6.93 % (2280269)Instructions burned: 257 (million)
% 23.19/6.93 % (2280278)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1023439562:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 23.19/6.93 % (2280279)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4107433340:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 23.19/6.93 % (2280280)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2466580626:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 23.19/6.93 % (2280280)Instruction limit reached!
% 23.19/6.93 % (2280280)------------------------------
% 23.19/6.93 % (2280280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.19/6.93 % (2280280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/6.93 % (2280280)CaDiCaL version: 2.1.3
% 23.19/6.93 % (2280280)Termination reason: Instruction limit
% 23.19/6.93 % (2280280)Termination phase: Saturation
% 23.19/6.93 % (2280280)Time elapsed: 0.186 s
% 23.19/6.93 % (2280280)Peak memory usage: 92 MB
% 23.19/6.93 % (2280280)Instructions burned: 215 (million)
% 23.19/6.93 % (2280284)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=474340973:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 23.19/6.93 % (2280270)Instruction limit reached!
% 23.19/6.93 % (2280270)------------------------------
% 23.19/6.93 % (2280270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.19/6.93 % (2280270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/6.93 % (2280270)CaDiCaL version: 2.1.3
% 23.19/6.93 % (2280270)Termination reason: Instruction limit
% 23.19/6.93 % (2280270)Termination phase: Saturation
% 23.19/6.93 % (2280270)Time elapsed: 1.100 s
% 23.19/6.93 % (2280270)Peak memory usage: 101 MB
% 23.19/6.93 % (2280270)Instructions burned: 1187 (million)
% 23.19/6.93 % (2280286)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=932310013:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 23.19/6.93 % (2280284)Instruction limit reached!
% 23.19/6.93 % (2280284)------------------------------
% 23.19/6.93 % (2280284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.19/6.93 % (2280284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/6.93 % (2280284)CaDiCaL version: 2.1.3
% 23.19/6.93 % (2280284)Termination reason: Instruction limit
% 23.19/6.93 % (2280284)Termination phase: Saturation
% 23.19/6.93 % (2280284)Time elapsed: 0.334 s
% 23.19/6.93 % (2280284)Peak memory usage: 93 MB
% 23.19/6.93 % (2280284)Instructions burned: 317 (million)
% 23.19/6.93 % (2280288)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1621128582:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2982 on theBenchmark for (2982ds/2836Mi)
% 23.19/6.93 % (2280278)Instruction limit reached!
% 23.19/6.93 % (2280278)------------------------------
% 23.19/6.93 % (2280278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.19/6.93 % (2280278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/6.93 % (2280278)CaDiCaL version: 2.1.3
% 23.19/6.93 % (2280278)Termination reason: Instruction limit
% 23.19/6.93 % (2280278)Termination phase: Saturation
% 23.19/6.93 % (2280278)Time elapsed: 2.348 s
% 23.19/6.93 % (2280278)Peak memory usage: 143 MB
% 23.19/6.93 % (2280278)Instructions burned: 2052 (million)
% 23.19/6.93 % (2280290)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3310397482:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2968 on theBenchmark for (2968ds/14534Mi)
% 23.19/6.93 % (2280279)Instruction limit reached!
% 23.19/6.93 % (2280279)------------------------------
% 23.19/6.93 % (2280279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.19/6.93 % (2280279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/6.93 % (2280279)CaDiCaL version: 2.1.3
% 23.19/6.93 % (2280279)Termination reason: Instruction limit
% 23.19/6.93 % (2280279)Termination phase: Saturation
% 23.19/6.93 % (2280279)Time elapsed: 2.801 s
% 23.19/6.93 % (2280279)Peak memory usage: 171 MB
% 23.19/6.93 % (2280279)Instructions burned: 4948 (million)
% 23.19/6.93 % (2280292)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2395724246:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2963 on theBenchmark for (2963ds/11832Mi)
% 23.19/6.93 % (2280286)First to succeed.
% 23.19/6.93 % (2280286)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2280259"
% 23.19/6.93 % (2280288)Instruction limit reached!
% 23.19/6.93 % (2280288)------------------------------
% 23.19/6.93 % (2280288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.19/6.93 % (2280288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/6.93 % (2280288)CaDiCaL version: 2.1.3
% 23.19/6.93 % (2280288)Termination reason: Instruction limit
% 23.19/6.93 % (2280288)Termination phase: Saturation
% 23.19/6.93 % (2280288)Time elapsed: 3.160 s
% 23.19/6.93 % (2280288)Peak memory usage: 155 MB
% 23.19/6.93 % (2280288)Instructions burned: 2836 (million)
% 23.19/6.93 % (2280294)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=1638878615:i=2279:fgj=on:bd=all_2947 on theBenchmark for (2947ds/2279Mi)
% 23.19/6.93 % (2280286)Refutation found. Thanks to Tanya!
% 23.19/6.93 % SZS status Unsatisfiable for theBenchmark
% 23.19/6.93 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/7.31 % (2280286)------------------------------
% 0.23/7.31 % (2280286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/7.31 % (2280286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/7.31 % (2280286)CaDiCaL version: 2.1.3
% 0.23/7.31 % (2280286)Termination reason: Refutation
% 0.23/7.31 % (2280286)Time elapsed: 3.468 s
% 0.23/7.31 % (2280286)Peak memory usage: 153 MB
% 0.23/7.31 % (2280286)Instructions burned: 3248 (million)
% 0.23/7.31 % (2280286)------------------------------
% 0.23/7.31 % (2280286)------------------------------
% 0.23/7.31 % (2280259)Success in time 5.675 s
% 0.23/7.31 % Vampire exiting
%------------------------------------------------------------------------------