%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL776-1 : 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 : n001.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 11:56:33 AM UTC 2026
% Result : Unsatisfiable 5.85s 1.77s
% Output : Refutation 6.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 67 ( 58 unt; 16 def)
% Number of atoms : 82 ( 48 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 20 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 24 con; 0-5 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f979,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(f980,axiom,
! [X2,X0,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)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Beta_0) ).
fof(f994,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(f1019,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(f1022,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,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(f1023,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,v_s)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1025,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r)),v_s),c_List_Oappend(v_ss,c_List_Olist_OCons(c_Lambda_OdB_OVar(v_i),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1107,definition,
sF0 = c_HOL_Ozero__class_Ozero(tc_nat),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f1108,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = sF0,
inference(reorient_equations,[],[f1107]) ).
fof(f1109,definition,
sF1 = c_Lambda_Osubst(v_r,v_s,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f1110,plain,
c_Lambda_Osubst(v_r,v_s,sF0) = sF1,
inference(reorient_equations,[],[f1109]) ).
fof(f1111,definition,
sF2 = c_List_Ofoldl(c_Lambda_OdB_OApp,sF1,v_ss,tc_Lambda_OdB,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f1112,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,sF1,v_ss,tc_Lambda_OdB,tc_Lambda_OdB) = sF2,
inference(reorient_equations,[],[f1111]) ).
fof(f1116,definition,
sF4 = hAPP(c_Lambda_OdB_OApp,sF2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f1117,plain,
hAPP(c_Lambda_OdB_OApp,sF2) = sF4,
inference(reorient_equations,[],[f1116]) ).
fof(f1118,definition,
sF5 = c_Lambda_OdB_OVar(v_i),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f1119,plain,
c_Lambda_OdB_OVar(v_i) = sF5,
inference(reorient_equations,[],[f1118]) ).
fof(f1120,definition,
sF6 = hAPP(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f1121,plain,
hAPP(sF4,sF5) = sF6,
inference(reorient_equations,[],[f1120]) ).
fof(f1122,definition,
sF7 = hAPP(c_InductTermi_OIT,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f1123,plain,
hAPP(c_InductTermi_OIT,sF6) = sF7,
inference(reorient_equations,[],[f1122]) ).
fof(f1124,plain,
hBOOL(sF7),
inference(definition_folding,[],[f1022,f1123,f1121,f1119,f1117,f1112,f1110,f1108]) ).
fof(f1125,definition,
sF8 = hAPP(c_InductTermi_OIT,v_s),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f1126,plain,
hAPP(c_InductTermi_OIT,v_s) = sF8,
inference(reorient_equations,[],[f1125]) ).
fof(f1127,plain,
hBOOL(sF8),
inference(definition_folding,[],[f1023,f1126]) ).
fof(f1135,definition,
sF12 = c_Lambda_OdB_OAbs(v_r),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f1136,plain,
c_Lambda_OdB_OAbs(v_r) = sF12,
inference(reorient_equations,[],[f1135]) ).
fof(f1137,definition,
sF13 = hAPP(c_Lambda_OdB_OApp,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f1138,plain,
hAPP(c_Lambda_OdB_OApp,sF12) = sF13,
inference(reorient_equations,[],[f1137]) ).
fof(f1139,definition,
sF14 = hAPP(sF13,v_s),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f1140,plain,
hAPP(sF13,v_s) = sF14,
inference(reorient_equations,[],[f1139]) ).
fof(f1141,definition,
sF15 = c_List_Olist_ONil(tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f1142,plain,
c_List_Olist_ONil(tc_Lambda_OdB) = sF15,
inference(reorient_equations,[],[f1141]) ).
fof(f1143,definition,
sF16 = c_List_Olist_OCons(sF5,sF15,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f1144,plain,
c_List_Olist_OCons(sF5,sF15,tc_Lambda_OdB) = sF16,
inference(reorient_equations,[],[f1143]) ).
fof(f1145,definition,
sF17 = c_List_Oappend(v_ss,sF16,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f1146,plain,
c_List_Oappend(v_ss,sF16,tc_Lambda_OdB) = sF17,
inference(reorient_equations,[],[f1145]) ).
fof(f1147,definition,
sF18 = c_List_Ofoldl(c_Lambda_OdB_OApp,sF14,sF17,tc_Lambda_OdB,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f1148,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,sF14,sF17,tc_Lambda_OdB,tc_Lambda_OdB) = sF18,
inference(reorient_equations,[],[f1147]) ).
fof(f1149,definition,
sF19 = hAPP(c_InductTermi_OIT,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f1150,plain,
hAPP(c_InductTermi_OIT,sF18) = sF19,
inference(reorient_equations,[],[f1149]) ).
fof(f1151,plain,
~ hBOOL(sF19),
inference(definition_folding,[],[f1025,f1150,f1148,f1146,f1144,f1142,f1119,f1140,f1138,f1136]) ).
fof(f1153,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),c_List_Olist_OCons(X1,X2,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(forward_demodulation,[],[f980,f994]) ).
fof(f1252,plain,
sF6 = hAPP(sF4,c_Lambda_OdB_OVar(v_i)),
inference(forward_demodulation,[],[f1121,f1119]) ).
fof(f1254,plain,
hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r)) = sF13,
inference(forward_demodulation,[],[f1138,f1136]) ).
fof(f1258,plain,
sF16 = c_List_Olist_OCons(c_Lambda_OdB_OVar(v_i),sF15,tc_Lambda_OdB),
inference(forward_demodulation,[],[f1144,f1119]) ).
fof(f1259,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),c_List_Olist_OCons(X1,X2,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,sF0),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(forward_demodulation,[],[f1153,f1108]) ).
fof(f1305,plain,
! [X2,X3,X0,X1] : c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r),c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(sF13,X0),X1,X3,X2),
inference(superposition,[],[f994,f1254]) ).
fof(f1307,plain,
! [X2,X3,X0,X1] : c_List_Ofoldl(c_Lambda_OdB_OApp,sF2,c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(sF4,X0),X1,X3,X2),
inference(superposition,[],[f994,f1117]) ).
fof(f1344,plain,
! [X0] : c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(sF4,c_Lambda_OdB_OVar(v_i)),sF15,X0,tc_Lambda_OdB) = c_List_Ofoldl(c_Lambda_OdB_OApp,sF2,sF16,X0,tc_Lambda_OdB),
inference(superposition,[],[f1307,f1258]) ).
fof(f1351,plain,
! [X0] : c_List_Ofoldl(c_Lambda_OdB_OApp,sF2,sF16,X0,tc_Lambda_OdB) = c_List_Ofoldl(c_Lambda_OdB_OApp,sF6,sF15,X0,tc_Lambda_OdB),
inference(forward_demodulation,[],[f1344,f1252]) ).
fof(f1353,plain,
! [X2,X0,X1] : c_List_Ofoldl(X0,X1,sF15,X2,tc_Lambda_OdB) = X1,
inference(superposition,[],[f979,f1142]) ).
fof(f1361,plain,
! [X0] : sF6 = c_List_Ofoldl(c_Lambda_OdB_OApp,sF2,sF16,X0,tc_Lambda_OdB),
inference(backward_demodulation,[],[f1351,f1353]) ).
fof(f1424,plain,
! [X0] : c_List_Ofoldl(c_Lambda_OdB_OApp,sF1,c_List_Oappend(v_ss,X0,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Ofoldl(c_Lambda_OdB_OApp,sF2,X0,tc_Lambda_OdB,tc_Lambda_OdB),
inference(superposition,[],[f1019,f1112]) ).
fof(f1503,plain,
! [X2,X0,X1] : c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r),c_List_Olist_OCons(v_s,X0,X1),X2,X1) = c_List_Ofoldl(c_Lambda_OdB_OApp,sF14,X0,X2,X1),
inference(superposition,[],[f1305,f1140]) ).
fof(f1589,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,sF2,sF16,tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Ofoldl(c_Lambda_OdB_OApp,sF1,sF17,tc_Lambda_OdB,tc_Lambda_OdB),
inference(superposition,[],[f1424,f1146]) ).
fof(f1596,plain,
sF6 = c_List_Ofoldl(c_Lambda_OdB_OApp,sF1,sF17,tc_Lambda_OdB,tc_Lambda_OdB),
inference(forward_demodulation,[],[f1589,f1361]) ).
fof(f1844,plain,
! [X0] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF14,X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r,v_s,sF0),X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,v_s)) ),
inference(superposition,[],[f1259,f1503]) ).
fof(f1856,plain,
! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF1,X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF14,X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,v_s)) ),
inference(forward_demodulation,[],[f1844,f1110]) ).
fof(f1865,plain,
! [X0] :
( ~ hBOOL(sF8)
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF1,X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF14,X0,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(forward_demodulation,[],[f1856,f1126]) ).
fof(f1869,plain,
! [X0] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF14,X0,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF1,X0,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(forward_subsumption_resolution,[],[f1865,f1127]) ).
fof(f1870,plain,
( hBOOL(hAPP(c_InductTermi_OIT,sF18))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF1,sF17,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(superposition,[],[f1869,f1148]) ).
fof(f1889,plain,
( hBOOL(sF19)
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF1,sF17,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(forward_demodulation,[],[f1870,f1150]) ).
fof(f1900,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,sF1,sF17,tc_Lambda_OdB,tc_Lambda_OdB))),
inference(forward_subsumption_resolution,[],[f1889,f1151]) ).
fof(f1901,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,sF6)),
inference(forward_demodulation,[],[f1900,f1596]) ).
fof(f1902,plain,
~ hBOOL(sF7),
inference(forward_demodulation,[],[f1901,f1123]) ).
fof(f1903,plain,
$false,
inference(forward_subsumption_resolution,[],[f1902,f1124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL776-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 16:53:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 5.85/1.77 % (3784480)Input is clausal, will run a generic CNF schedule.
% 5.85/1.77 % (3784487)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4175155288:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.85/1.77 % (3784490)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4212696984:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.85/1.77 % (3784488)lrs+10_1_sil=8000:sp=occurrence:random_seed=2015995247:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.85/1.77 % (3784485)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=96878509:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.85/1.77 % (3784489)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2344026775:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.85/1.77 % (3784486)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2652883267:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.85/1.77 % (3784491)dis-21_1_sil=8000:lcm=predicate:random_seed=3223881692: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)
% 5.85/1.77 % (3784488)Instruction limit reached!
% 5.85/1.77 % (3784488)------------------------------
% 5.85/1.77 % (3784488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.77 % (3784488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.77 % (3784488)CaDiCaL version: 2.1.3
% 5.85/1.77 % (3784488)Termination reason: Instruction limit
% 5.85/1.77 % (3784488)Termination phase: Saturation
% 5.85/1.77 % (3784488)Time elapsed: 0.068 s
% 5.85/1.77 % (3784488)Peak memory usage: 89 MB
% 5.85/1.77 % (3784488)Instructions burned: 108 (million)
% 5.85/1.77 % (3784491)Instruction limit reached!
% 5.85/1.77 % (3784491)------------------------------
% 5.85/1.77 % (3784491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.77 % (3784491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.77 % (3784491)CaDiCaL version: 2.1.3
% 5.85/1.77 % (3784491)Termination reason: Instruction limit
% 5.85/1.77 % (3784491)Termination phase: Saturation
% 5.85/1.77 % (3784491)Time elapsed: 0.069 s
% 5.85/1.77 % (3784491)Peak memory usage: 89 MB
% 5.85/1.77 % (3784491)Instructions burned: 118 (million)
% 5.85/1.77 % (3784489)Instruction limit reached!
% 5.85/1.77 % (3784489)------------------------------
% 5.85/1.77 % (3784489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.77 % (3784489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.77 % (3784489)CaDiCaL version: 2.1.3
% 5.85/1.77 % (3784489)Termination reason: Instruction limit
% 5.85/1.77 % (3784489)Termination phase: Saturation
% 5.85/1.77 % (3784489)Time elapsed: 0.077 s
% 5.85/1.77 % (3784489)Peak memory usage: 89 MB
% 5.85/1.77 % (3784489)Instructions burned: 115 (million)
% 5.85/1.77 % (3784490)Instruction limit reached!
% 5.85/1.77 % (3784490)------------------------------
% 5.85/1.77 % (3784490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.77 % (3784490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.77 % (3784490)CaDiCaL version: 2.1.3
% 5.85/1.77 % (3784490)Termination reason: Instruction limit
% 5.85/1.77 % (3784490)Termination phase: Saturation
% 5.85/1.77 % (3784490)Time elapsed: 0.120 s
% 5.85/1.77 % (3784490)Peak memory usage: 89 MB
% 5.85/1.77 % (3784490)Instructions burned: 181 (million)
% 5.85/1.77 % (3784499)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=3981050147:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.85/1.77 % (3784500)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3511573813: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)
% 5.85/1.77 % (3784501)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=933633891:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.85/1.77 % (3784499)Refutation not found, incomplete strategy
% 5.85/1.77 % (3784499)------------------------------
% 5.85/1.77 % (3784499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.77 % (3784499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.77 % (3784499)CaDiCaL version: 2.1.3
% 5.85/1.77 % (3784499)Termination reason: Refutation not found, incomplete strategy
% 5.85/1.77 % (3784499)Time elapsed: 0.009 s
% 5.85/1.77 % (3784499)Peak memory usage: 88 MB
% 5.85/1.77 % (3784499)Instructions burned: 12 (million)
% 5.85/1.77 % (3784501)Refutation not found, incomplete strategy
% 5.85/1.77 % (3784501)------------------------------
% 5.85/1.77 % (3784501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.77 % (3784501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.77 % (3784501)CaDiCaL version: 2.1.3
% 5.85/1.77 % (3784501)Termination reason: Refutation not found, incomplete strategy
% 5.85/1.77 % (3784501)Time elapsed: 0.018 s
% 5.85/1.77 % (3784501)Peak memory usage: 88 MB
% 5.85/1.77 % (3784501)Instructions burned: 28 (million)
% 5.85/1.77 % (3784502)lrs+10_64_to=lpo:sil=8000:random_seed=2817895547:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.85/1.77 % (3784500)Instruction limit reached!
% 5.85/1.77 % (3784500)------------------------------
% 5.85/1.77 % (3784500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.77 % (3784500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.77 % (3784500)CaDiCaL version: 2.1.3
% 5.85/1.77 % (3784500)Termination reason: Instruction limit
% 5.85/1.77 % (3784500)Termination phase: Saturation
% 5.85/1.77 % (3784500)Time elapsed: 0.110 s
% 5.85/1.77 % (3784500)Peak memory usage: 91 MB
% 5.85/1.77 % (3784500)Instructions burned: 190 (million)
% 5.85/1.77 % (3784502)Instruction limit reached!
% 5.85/1.77 % (3784502)------------------------------
% 5.85/1.77 % (3784502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.77 % (3784502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.77 % (3784502)CaDiCaL version: 2.1.3
% 5.85/1.77 % (3784502)Termination reason: Instruction limit
% 5.85/1.77 % (3784502)Termination phase: Saturation
% 5.85/1.77 % (3784502)Time elapsed: 0.078 s
% 5.85/1.77 % (3784502)Peak memory usage: 89 MB
% 5.85/1.77 % (3784502)Instructions burned: 126 (million)
% 5.85/1.77 % (3784499)------------------------------
% 5.85/1.77 % (3784499)------------------------------
% 5.85/1.77 % (3784501)------------------------------
% 5.85/1.77 % (3784501)------------------------------
% 5.85/1.77 % (3784507)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=380389215:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.85/1.77 % (3784508)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3499781343:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.85/1.77 % (3784487)First to succeed.
% 5.85/1.77 % (3784487)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3784480"
% 5.85/1.77 % (3784508)Instruction limit reached!
% 5.85/1.77 % (3784508)------------------------------
% 5.85/1.77 % (3784508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.77 % (3784508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.77 % (3784508)CaDiCaL version: 2.1.3
% 5.85/1.77 % (3784508)Termination reason: Instruction limit
% 5.85/1.77 % (3784508)Termination phase: Saturation
% 5.85/1.77 % (3784508)Time elapsed: 0.109 s
% 5.85/1.77 % (3784508)Peak memory usage: 91 MB
% 5.85/1.77 % (3784508)Instructions burned: 158 (million)
% 5.85/1.77 % (3784507)Instruction limit reached!
% 5.85/1.77 % (3784507)------------------------------
% 5.85/1.77 % (3784507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.77 % (3784507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.77 % (3784507)CaDiCaL version: 2.1.3
% 5.85/1.77 % (3784507)Termination reason: Instruction limit
% 5.85/1.77 % (3784507)Termination phase: Saturation
% 5.85/1.77 % (3784507)Time elapsed: 0.120 s
% 5.85/1.77 % (3784507)Peak memory usage: 90 MB
% 5.85/1.77 % (3784507)Instructions burned: 196 (million)
% 5.85/1.77 % (3784509)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4094347100:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.85/1.77 % (3784510)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=2181446852:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.85/1.77 % (3784487)Refutation found. Thanks to Tanya!
% 5.85/1.77 % SZS status Unsatisfiable for theBenchmark
% 5.85/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 6.62/1.87 % (3784487)------------------------------
% 6.62/1.87 % (3784487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.87 % (3784487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.87 % (3784487)CaDiCaL version: 2.1.3
% 6.62/1.87 % (3784487)Termination reason: Refutation
% 6.62/1.87 % (3784487)Time elapsed: 0.566 s
% 6.62/1.87 % (3784487)Peak memory usage: 138 MB
% 6.62/1.87 % (3784487)Instructions burned: 1367 (million)
% 6.62/1.87 % (3784487)------------------------------
% 6.62/1.87 % (3784487)------------------------------
% 6.62/1.87 % (3784480)Success in time 0.899 s
% 6.62/1.87 % Vampire exiting
%------------------------------------------------------------------------------