%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL775-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:56:32 AM UTC 2026
% Result : Unsatisfiable 7.42s 1.87s
% Output : Refutation 9.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of formulae : 69 ( 51 unt; 17 def)
% Number of atoms : 96 ( 41 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 29 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 26 con; 0-5 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f588,axiom,
! [X2,X3,X0,X1] : c_List_Ofoldl(X0,X1,c_List_Olist_ONil(X2),X3,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Nil_0) ).
fof(f591,axiom,
! [X2,X3,X0,X1,X4,X5] : c_List_Ofoldl(X0,X1,c_List_Olist_OCons(X2,X3,X4),X5,X4) = c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X5,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Cons_0) ).
fof(f592,axiom,
! [X2,X3,X0,X1,X4,X5] : c_List_Ofoldl(X0,X1,c_List_Oappend(X2,X3,X4),X5,X4) = c_List_Ofoldl(X0,c_List_Ofoldl(X0,X1,X2,X5,X4),X3,X5,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__append_0) ).
fof(f681,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Beta_0) ).
fof(f691,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f692,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,v_s)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f694,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r)),v_s),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f802,definition,
sF0 = hAPP(c_Lambda_Osubst,v_r),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f803,plain,
hAPP(c_Lambda_Osubst,v_r) = sF0,
inference(reorient_equations,[],[f802]) ).
fof(f804,definition,
sF1 = hAPP(sF0,v_s),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f805,plain,
hAPP(sF0,v_s) = sF1,
inference(reorient_equations,[],[f804]) ).
fof(f806,definition,
sF2 = c_HOL_Ozero__class_Ozero(tc_nat),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f807,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = sF2,
inference(reorient_equations,[],[f806]) ).
fof(f808,definition,
sF3 = hAPP(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f809,plain,
hAPP(sF1,sF2) = sF3,
inference(reorient_equations,[],[f808]) ).
fof(f810,definition,
sF4 = c_List_Ofoldl(c_Lambda_OdB_OApp,sF3,v_ss,tc_Lambda_OdB,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f811,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,sF3,v_ss,tc_Lambda_OdB,tc_Lambda_OdB) = sF4,
inference(reorient_equations,[],[f810]) ).
fof(f815,definition,
sF6 = hAPP(c_Lambda_OdB_OApp,sF4),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f816,plain,
hAPP(c_Lambda_OdB_OApp,sF4) = sF6,
inference(reorient_equations,[],[f815]) ).
fof(f817,definition,
sF7 = c_Lambda_OdB_OVar(v_i),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f818,plain,
c_Lambda_OdB_OVar(v_i) = sF7,
inference(reorient_equations,[],[f817]) ).
fof(f819,definition,
sF8 = hAPP(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f820,plain,
hAPP(sF6,sF7) = sF8,
inference(reorient_equations,[],[f819]) ).
fof(f821,definition,
sF9 = hAPP(c_InductTermi_OIT,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f822,plain,
hAPP(c_InductTermi_OIT,sF8) = sF9,
inference(reorient_equations,[],[f821]) ).
fof(f823,plain,
hBOOL(sF9),
inference(definition_folding,[],[f691,f822,f820,f818,f816,f811,f809,f807,f805,f803]) ).
fof(f824,definition,
sF10 = hAPP(c_InductTermi_OIT,v_s),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f825,plain,
hAPP(c_InductTermi_OIT,v_s) = sF10,
inference(reorient_equations,[],[f824]) ).
fof(f826,plain,
hBOOL(sF10),
inference(definition_folding,[],[f692,f825]) ).
fof(f834,definition,
sF14 = c_Lambda_OdB_OAbs(v_r),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f835,plain,
c_Lambda_OdB_OAbs(v_r) = sF14,
inference(reorient_equations,[],[f834]) ).
fof(f836,definition,
sF15 = hAPP(c_Lambda_OdB_OApp,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f837,plain,
hAPP(c_Lambda_OdB_OApp,sF14) = sF15,
inference(reorient_equations,[],[f836]) ).
fof(f838,definition,
sF16 = hAPP(sF15,v_s),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f839,plain,
hAPP(sF15,v_s) = sF16,
inference(reorient_equations,[],[f838]) ).
fof(f840,definition,
sF17 = c_List_Ofoldl(c_Lambda_OdB_OApp,sF16,v_ss,tc_Lambda_OdB,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f841,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,sF16,v_ss,tc_Lambda_OdB,tc_Lambda_OdB) = sF17,
inference(reorient_equations,[],[f840]) ).
fof(f842,definition,
sF18 = hAPP(c_Lambda_OdB_OApp,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f843,plain,
hAPP(c_Lambda_OdB_OApp,sF17) = sF18,
inference(reorient_equations,[],[f842]) ).
fof(f844,definition,
sF19 = hAPP(sF18,sF7),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f845,plain,
hAPP(sF18,sF7) = sF19,
inference(reorient_equations,[],[f844]) ).
fof(f846,definition,
sF20 = hAPP(c_InductTermi_OIT,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f847,plain,
hAPP(c_InductTermi_OIT,sF19) = sF20,
inference(reorient_equations,[],[f846]) ).
fof(f848,plain,
~ hBOOL(sF20),
inference(definition_folding,[],[f694,f847,f845,f818,f843,f841,f839,f837,f835]) ).
fof(f907,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(sF0,X0),c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r)),X0),X1,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(superposition,[],[f681,f803]) ).
fof(f909,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(sF0,X0),sF2),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r)),X0),X1,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(forward_demodulation,[],[f907,f807]) ).
fof(f910,plain,
! [X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,sF14),X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(sF0,X0),sF2),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
inference(forward_demodulation,[],[f909,f835]) ).
fof(f911,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(sF0,X0),sF2),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(sF15,X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
inference(forward_demodulation,[],[f910,f837]) ).
fof(f912,plain,
! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(sF1,sF2),X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(sF15,v_s),X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,v_s)) ),
inference(superposition,[],[f911,f805]) ).
fof(f913,plain,
! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF3,X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(sF15,v_s),X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,v_s)) ),
inference(forward_demodulation,[],[f912,f809]) ).
fof(f914,plain,
! [X0] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF16,X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF3,X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,v_s)) ),
inference(forward_demodulation,[],[f913,f839]) ).
fof(f915,plain,
! [X0] :
( ~ hBOOL(sF10)
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF16,X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF3,X0,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(forward_demodulation,[],[f914,f825]) ).
fof(f916,plain,
! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF3,X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF16,X0,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(forward_subsumption_resolution,[],[f915,f826]) ).
fof(f936,plain,
! [X2,X3,X0,X1] : c_List_Ofoldl(c_Lambda_OdB_OApp,sF17,c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(sF18,X0),X1,X3,X2),
inference(superposition,[],[f591,f843]) ).
fof(f961,plain,
! [X2,X3,X0,X1,X4] : hAPP(hAPP(X0,X1),X2) = c_List_Ofoldl(X0,X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X4,X3),
inference(superposition,[],[f591,f588]) ).
fof(f1161,plain,
! [X0] : c_List_Ofoldl(c_Lambda_OdB_OApp,sF3,c_List_Oappend(v_ss,X0,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Ofoldl(c_Lambda_OdB_OApp,sF4,X0,tc_Lambda_OdB,tc_Lambda_OdB),
inference(superposition,[],[f592,f811]) ).
fof(f1162,plain,
! [X0] : c_List_Ofoldl(c_Lambda_OdB_OApp,sF16,c_List_Oappend(v_ss,X0,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Ofoldl(c_Lambda_OdB_OApp,sF17,X0,tc_Lambda_OdB,tc_Lambda_OdB),
inference(superposition,[],[f592,f841]) ).
fof(f1198,plain,
! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF4,X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF16,c_List_Oappend(v_ss,X0,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(superposition,[],[f916,f1161]) ).
fof(f1201,plain,
! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF4,X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF17,X0,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(forward_demodulation,[],[f1198,f1162]) ).
fof(f1204,plain,
! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,sF4),X0)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF17,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(superposition,[],[f1201,f961]) ).
fof(f1207,plain,
! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(sF6,X0)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF17,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(forward_demodulation,[],[f1204,f816]) ).
fof(f1210,plain,
! [X0] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(sF18,X0),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(sF6,X0))) ),
inference(forward_demodulation,[],[f1207,f936]) ).
fof(f1212,plain,
! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(sF6,X0)))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(sF18,X0))) ),
inference(forward_demodulation,[],[f1210,f588]) ).
fof(f1213,plain,
( ~ hBOOL(hAPP(c_InductTermi_OIT,sF8))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(sF18,sF7))) ),
inference(superposition,[],[f1212,f820]) ).
fof(f1214,plain,
( ~ hBOOL(sF9)
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(sF18,sF7))) ),
inference(forward_demodulation,[],[f1213,f822]) ).
fof(f1215,plain,
hBOOL(hAPP(c_InductTermi_OIT,hAPP(sF18,sF7))),
inference(forward_subsumption_resolution,[],[f1214,f823]) ).
fof(f1216,plain,
hBOOL(hAPP(c_InductTermi_OIT,sF19)),
inference(forward_demodulation,[],[f1215,f845]) ).
fof(f1217,plain,
hBOOL(sF20),
inference(forward_demodulation,[],[f1216,f847]) ).
fof(f1218,plain,
$false,
inference(forward_subsumption_resolution,[],[f1217,f848]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL775-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n006.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 16:46:56 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 7.42/1.87 % (3164764)Input is clausal, will run a generic CNF schedule.
% 7.42/1.87 % (3164772)lrs+10_1_sil=8000:sp=occurrence:random_seed=125619853:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.42/1.87 % (3164774)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3116238847:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.42/1.87 % (3164770)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2574981628:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.42/1.87 % (3164769)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=1286630145:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.42/1.87 % (3164775)dis-21_1_sil=8000:lcm=predicate:random_seed=1416917145:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.42/1.87 % (3164771)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3465849992:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.42/1.87 % (3164773)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3650607473:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.42/1.87 % (3164775)Instruction limit reached!
% 7.42/1.87 % (3164775)------------------------------
% 7.42/1.87 % (3164775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164775)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164775)Termination reason: Instruction limit
% 7.42/1.87 % (3164775)Termination phase: Saturation
% 7.42/1.87 % (3164775)Time elapsed: 0.065 s
% 7.42/1.87 % (3164775)Peak memory usage: 89 MB
% 7.42/1.87 % (3164775)Instructions burned: 118 (million)
% 7.42/1.87 % (3164772)Instruction limit reached!
% 7.42/1.87 % (3164772)------------------------------
% 7.42/1.87 % (3164772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164772)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164772)Termination reason: Instruction limit
% 7.42/1.87 % (3164772)Termination phase: Saturation
% 7.42/1.87 % (3164772)Time elapsed: 0.066 s
% 7.42/1.87 % (3164772)Peak memory usage: 89 MB
% 7.42/1.87 % (3164772)Instructions burned: 108 (million)
% 7.42/1.87 % (3164773)Instruction limit reached!
% 7.42/1.87 % (3164773)------------------------------
% 7.42/1.87 % (3164773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164773)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164773)Termination reason: Instruction limit
% 7.42/1.87 % (3164773)Termination phase: Saturation
% 7.42/1.87 % (3164773)Time elapsed: 0.073 s
% 7.42/1.87 % (3164773)Peak memory usage: 89 MB
% 7.42/1.87 % (3164773)Instructions burned: 115 (million)
% 7.42/1.87 % (3164774)Instruction limit reached!
% 7.42/1.87 % (3164774)------------------------------
% 7.42/1.87 % (3164774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164774)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164774)Termination reason: Instruction limit
% 7.42/1.87 % (3164774)Termination phase: Saturation
% 7.42/1.87 % (3164774)Time elapsed: 0.119 s
% 7.42/1.87 % (3164774)Peak memory usage: 90 MB
% 7.42/1.87 % (3164774)Instructions burned: 181 (million)
% 7.42/1.87 % (3164784)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4185419395:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.42/1.87 % (3164783)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1268392349:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.42/1.87 % (3164785)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2174566982:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.42/1.87 % (3164783)Refutation not found, incomplete strategy
% 7.42/1.87 % (3164783)------------------------------
% 7.42/1.87 % (3164783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164783)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164783)Termination reason: Refutation not found, incomplete strategy
% 7.42/1.87 % (3164783)Time elapsed: 0.007 s
% 7.42/1.87 % (3164783)Peak memory usage: 88 MB
% 7.42/1.87 % (3164783)Instructions burned: 8 (million)
% 7.42/1.87 % (3164785)Refutation not found, incomplete strategy
% 7.42/1.87 % (3164785)------------------------------
% 7.42/1.87 % (3164785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164785)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164785)Termination reason: Refutation not found, incomplete strategy
% 7.42/1.87 % (3164785)Time elapsed: 0.020 s
% 7.42/1.87 % (3164785)Peak memory usage: 88 MB
% 7.42/1.87 % (3164785)Instructions burned: 32 (million)
% 7.42/1.87 % (3164786)lrs+10_64_to=lpo:sil=8000:random_seed=1360672012:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.42/1.87 % (3164786)Instruction limit reached!
% 7.42/1.87 % (3164786)------------------------------
% 7.42/1.87 % (3164786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164786)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164786)Termination reason: Instruction limit
% 7.42/1.87 % (3164786)Termination phase: Saturation
% 7.42/1.87 % (3164786)Time elapsed: 0.043 s
% 7.42/1.87 % (3164786)Peak memory usage: 89 MB
% 7.42/1.87 % (3164786)Instructions burned: 128 (million)
% 7.42/1.87 % (3164784)Instruction limit reached!
% 7.42/1.87 % (3164784)------------------------------
% 7.42/1.87 % (3164784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164784)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164784)Termination reason: Instruction limit
% 7.42/1.87 % (3164784)Termination phase: Saturation
% 7.42/1.87 % (3164784)Time elapsed: 0.113 s
% 7.42/1.87 % (3164784)Peak memory usage: 90 MB
% 7.42/1.87 % (3164784)Instructions burned: 190 (million)
% 7.42/1.87 % (3164791)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4030855952:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.42/1.87 % (3164783)------------------------------
% 7.42/1.87 % (3164783)------------------------------
% 7.42/1.87 % (3164785)------------------------------
% 7.42/1.87 % (3164785)------------------------------
% 7.42/1.87 % (3164791)Instruction limit reached!
% 7.42/1.87 % (3164791)------------------------------
% 7.42/1.87 % (3164791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164791)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164791)Termination reason: Instruction limit
% 7.42/1.87 % (3164791)Termination phase: Saturation
% 7.42/1.87 % (3164791)Time elapsed: 0.062 s
% 7.42/1.87 % (3164791)Peak memory usage: 90 MB
% 7.42/1.87 % (3164791)Instructions burned: 196 (million)
% 7.42/1.87 % (3164792)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3082438941:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.42/1.87 % (3164796)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1562463977:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.42/1.87 % (3164792)Instruction limit reached!
% 7.42/1.87 % (3164792)------------------------------
% 7.42/1.87 % (3164792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164792)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164792)Termination reason: Instruction limit
% 7.42/1.87 % (3164792)Termination phase: Saturation
% 7.42/1.87 % (3164792)Time elapsed: 0.107 s
% 7.42/1.87 % (3164792)Peak memory usage: 91 MB
% 7.42/1.87 % (3164792)Instructions burned: 157 (million)
% 7.42/1.87 % (3164795)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3223193302:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.42/1.87 % (3164794)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3978181085:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 7.42/1.87 % (3164796)Instruction limit reached!
% 7.42/1.87 % (3164796)------------------------------
% 7.42/1.87 % (3164796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164796)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164796)Termination reason: Instruction limit
% 7.42/1.87 % (3164796)Termination phase: Saturation
% 7.42/1.87 % (3164796)Time elapsed: 0.038 s
% 7.42/1.87 % (3164796)Peak memory usage: 90 MB
% 7.42/1.87 % (3164796)Instructions burned: 110 (million)
% 7.42/1.87 % (3164795)Instruction limit reached!
% 7.42/1.87 % (3164795)------------------------------
% 7.42/1.87 % (3164795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164795)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164795)Termination reason: Instruction limit
% 7.42/1.87 % (3164795)Termination phase: Saturation
% 7.42/1.87 % (3164795)Time elapsed: 0.061 s
% 7.42/1.87 % (3164795)Peak memory usage: 89 MB
% 7.42/1.87 % (3164795)Instructions burned: 108 (million)
% 7.42/1.87 % (3164802)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2554464698:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.42/1.87 % (3164799)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3607811030:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.42/1.87 % (3164769)First to succeed.
% 7.42/1.87 % (3164769)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3164764"
% 7.42/1.87 % (3164803)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4207049409:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 7.42/1.87 % (3164799)Instruction limit reached!
% 7.42/1.87 % (3164799)------------------------------
% 7.42/1.87 % (3164799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164799)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164799)Termination reason: Instruction limit
% 7.42/1.87 % (3164799)Termination phase: Saturation
% 7.42/1.87 % (3164799)Time elapsed: 0.147 s
% 7.42/1.87 % (3164799)Peak memory usage: 90 MB
% 7.42/1.87 % (3164799)Instructions burned: 242 (million)
% 7.42/1.87 % (3164803)Instruction limit reached!
% 7.42/1.87 % (3164803)------------------------------
% 7.42/1.87 % (3164803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.87 % (3164803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.87 % (3164803)CaDiCaL version: 2.1.3
% 7.42/1.87 % (3164803)Termination reason: Instruction limit
% 7.42/1.87 % (3164803)Termination phase: Saturation
% 7.42/1.87 % (3164803)Time elapsed: 0.084 s
% 7.42/1.87 % (3164803)Peak memory usage: 90 MB
% 7.42/1.87 % (3164803)Instructions burned: 135 (million)
% 7.42/1.87 % (3164769)Refutation found. Thanks to Tanya!
% 7.42/1.87 % SZS status Unsatisfiable for theBenchmark
% 7.42/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 9.05/2.04 % (3164769)------------------------------
% 9.05/2.04 % (3164769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.04 % (3164769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.04 % (3164769)CaDiCaL version: 2.1.3
% 9.05/2.04 % (3164769)Termination reason: Refutation
% 9.05/2.04 % (3164769)Time elapsed: 0.796 s
% 9.05/2.04 % (3164769)Peak memory usage: 135 MB
% 9.05/2.04 % (3164769)Instructions burned: 1215 (million)
% 9.05/2.04 % (3164769)------------------------------
% 9.05/2.04 % (3164769)------------------------------
% 9.05/2.04 % (3164764)Success in time 1.234 s
% 9.05/2.04 % Vampire exiting
%------------------------------------------------------------------------------