%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM229_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:39:50 AM UTC 2026
% Result : Theorem 5.46s 1.63s
% Output : Refutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 62 ( 27 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 67 ( 26 ~; 9 |; 29 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 31 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 115 ( 115 usr; 9 con; 0-3 aty)
% Number of variables : 14 ( 10 !; 4 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
vTerm: $tType ).
tff(type_def_6,type,
vOptTerm: $tType ).
tff(type_def_7,type,
vTy: $tType ).
tff(func_def_0,type,
vNat: vTy ).
tff(func_def_1,type,
vSucc: vTerm > vTerm ).
tff(func_def_2,type,
vPred: vTerm > vTerm ).
tff(func_def_3,type,
vsomeTerm: vTerm > vOptTerm ).
tff(func_def_4,type,
vZero: vTerm ).
tff(func_def_5,type,
vIszero: vTerm > vTerm ).
tff(func_def_6,type,
vTrue: vTerm ).
tff(func_def_7,type,
vFalse: vTerm ).
tff(func_def_8,type,
vnoTerm: vOptTerm ).
tff(func_def_9,type,
vPlus: ( vTerm * vTerm ) > vTerm ).
tff(func_def_10,type,
vB: vTy ).
tff(func_def_11,type,
vIfelse: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_12,type,
vt1: vTerm ).
tff(func_def_13,type,
vreduce: vTerm > vOptTerm ).
tff(func_def_14,type,
vplusop: ( vTerm * vTerm ) > vTerm ).
tff(func_def_15,type,
vgetTerm: vOptTerm > vTerm ).
tff(func_def_16,type,
sK25: vTerm > vTerm ).
tff(func_def_17,type,
sK26: vTerm > vTerm ).
tff(func_def_18,type,
sK27: vTerm > vTerm ).
tff(func_def_19,type,
sK28: vTerm > vTerm ).
tff(func_def_20,type,
sK29: vTerm > vTerm ).
tff(func_def_21,type,
sK30: vTerm > vTerm ).
tff(func_def_22,type,
sK31: vTerm > vTerm ).
tff(func_def_23,type,
sK32: vTerm > vTerm ).
tff(func_def_24,type,
sK33: vOptTerm > vTerm ).
tff(func_def_25,type,
sK34: vTerm > vTerm ).
tff(func_def_26,type,
sK35: vTerm > vTerm ).
tff(func_def_27,type,
sK36: vTerm > vTerm ).
tff(func_def_28,type,
sK37: vTerm > vTerm ).
tff(func_def_29,type,
sK38: vTerm > vTerm ).
tff(func_def_30,type,
sK39: vTerm > vTerm ).
tff(func_def_31,type,
sK40: vOptTerm > vTerm ).
tff(func_def_32,type,
sK41: vTerm > vTerm ).
tff(func_def_33,type,
sK42: ( vTerm * vTerm ) > vTerm ).
tff(func_def_34,type,
sK43: ( vTerm * vTerm ) > vTerm ).
tff(func_def_35,type,
sK44: ( vTerm * vTerm ) > vTerm ).
tff(func_def_36,type,
sK45: ( vTerm * vTerm ) > vTerm ).
tff(func_def_37,type,
sK46: ( vTerm * vTerm ) > vTerm ).
tff(func_def_38,type,
sK47: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_39,type,
sK48: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_40,type,
sK49: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_41,type,
sK50: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_42,type,
sK51: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_43,type,
sK52: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_44,type,
sK53: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_45,type,
sK54: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_46,type,
sK55: vTerm > vTerm ).
tff(func_def_47,type,
sK56: vTerm > vTerm ).
tff(func_def_48,type,
sK57: vTerm > vTerm ).
tff(func_def_49,type,
sK58: vTerm > vTerm ).
tff(func_def_50,type,
sK59: vTerm > vTerm ).
tff(func_def_51,type,
sK60: vTerm > vTerm ).
tff(func_def_52,type,
sK61: vTerm > vTerm ).
tff(func_def_53,type,
sK62: vTerm > vTerm ).
tff(func_def_54,type,
sK63: vTerm > vTerm ).
tff(func_def_55,type,
sK64: vTerm > vTerm ).
tff(func_def_56,type,
sK65: vTerm > vTerm ).
tff(func_def_57,type,
sK66: vTerm > vTerm ).
tff(func_def_58,type,
sK67: vTerm > vTerm ).
tff(func_def_59,type,
sK68: vTerm > vTerm ).
tff(func_def_60,type,
sK69: vTerm > vTerm ).
tff(func_def_61,type,
sK70: vTerm > vTerm ).
tff(func_def_62,type,
sK71: vTerm > vTerm ).
tff(func_def_63,type,
sK72: vTerm > vTerm ).
tff(func_def_64,type,
sK73: vTerm > vTerm ).
tff(func_def_65,type,
sK74: vTerm > vTerm ).
tff(func_def_66,type,
sK75: vTerm > vTerm ).
tff(func_def_67,type,
sK76: vTerm > vOptTerm ).
tff(func_def_68,type,
sK77: vTerm > vTerm ).
tff(func_def_69,type,
sK78: vTerm > vOptTerm ).
tff(func_def_70,type,
sK79: vTerm > vTerm ).
tff(func_def_71,type,
sK80: vTerm > vTerm ).
tff(func_def_72,type,
sK81: vTerm > vTerm ).
tff(func_def_73,type,
sK82: vTerm > vOptTerm ).
tff(func_def_74,type,
sK83: vTerm > vTerm ).
tff(func_def_75,type,
sK84: vTerm > vOptTerm ).
tff(func_def_76,type,
sK85: vTerm > vTerm ).
tff(func_def_77,type,
sK86: vTerm > vOptTerm ).
tff(func_def_78,type,
sK87: vTerm > vTerm ).
tff(func_def_79,type,
sK88: vTerm > vOptTerm ).
tff(func_def_80,type,
sK89: vTerm > vTerm ).
tff(func_def_81,type,
sK90: vTerm > vTerm ).
tff(func_def_82,type,
sK91: vTerm > vOptTerm ).
tff(func_def_83,type,
sK92: vTerm > vTerm ).
tff(func_def_84,type,
sK93: vTerm > vTerm ).
tff(func_def_85,type,
sK94: vTerm > vOptTerm ).
tff(func_def_86,type,
sK95: vTerm > vTerm ).
tff(func_def_87,type,
sK96: vTerm > vTerm ).
tff(func_def_88,type,
sK97: vTerm > vTerm ).
tff(func_def_89,type,
sK98: vTerm > vOptTerm ).
tff(func_def_90,type,
sK99: vTerm > vTerm ).
tff(func_def_91,type,
sK100: vTerm > vTerm ).
tff(func_def_92,type,
sK101: vTerm > vTerm ).
tff(func_def_93,type,
sK102: vTerm > vOptTerm ).
tff(func_def_94,type,
sK103: vTerm > vTerm ).
tff(func_def_95,type,
sK104: vTerm > vOptTerm ).
tff(func_def_96,type,
sK105: vTerm > vTerm ).
tff(func_def_97,type,
sK106: vTerm > vOptTerm ).
tff(func_def_98,type,
sK107: vTerm > vTerm ).
tff(func_def_99,type,
sK108: vTerm > vOptTerm ).
tff(func_def_100,type,
sK109: vTerm > vTerm ).
tff(func_def_101,type,
sK110: vTerm > vOptTerm ).
tff(func_def_102,type,
sK111: vTerm > vTerm ).
tff(func_def_103,type,
sK112: vTerm > vTerm ).
tff(func_def_104,type,
sK113: vTerm > vOptTerm ).
tff(func_def_105,type,
sK114: vTerm > vTerm ).
tff(func_def_106,type,
sK115: vTerm > vTerm ).
tff(func_def_107,type,
sK116: vTerm > vOptTerm ).
tff(func_def_108,type,
sK117: vTerm > vTerm ).
tff(func_def_109,type,
sK118: vTerm > vTerm ).
tff(func_def_110,type,
sK119: vTerm > vTerm ).
tff(func_def_111,type,
sK120: vTerm > vTerm ).
tff(func_def_112,type,
sK121: vTerm > vTerm ).
tff(func_def_113,type,
sK122: vTerm ).
tff(func_def_114,type,
sK123: vTy ).
tff(pred_def_1,type,
visValue: vTerm > $o ).
tff(pred_def_2,type,
visNV: vTerm > $o ).
tff(pred_def_3,type,
visSomeTerm: vOptTerm > $o ).
tff(pred_def_4,type,
vptchecksimple: ( vTerm * vTy ) > $o ).
tff(pred_def_5,type,
sP0: ( vTerm * vTerm ) > $o ).
tff(pred_def_6,type,
sP1: ( vTerm * vTerm ) > $o ).
tff(pred_def_7,type,
sP2: ( vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_8,type,
sP3: ( vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_9,type,
sP4: vTerm > $o ).
tff(pred_def_10,type,
sP5: vTerm > $o ).
tff(pred_def_11,type,
sP6: vTerm > $o ).
tff(pred_def_12,type,
sP7: vTerm > $o ).
tff(pred_def_13,type,
sP8: vTerm > $o ).
tff(pred_def_14,type,
sP9: vTerm > $o ).
tff(pred_def_15,type,
sP10: vTerm > $o ).
tff(pred_def_16,type,
sP11: vTerm > $o ).
tff(pred_def_17,type,
sP12: vTerm > $o ).
tff(pred_def_18,type,
sP13: vTerm > $o ).
tff(pred_def_19,type,
sP14: vTerm > $o ).
tff(pred_def_20,type,
sP15: vTerm > $o ).
tff(pred_def_21,type,
sP16: vTerm > $o ).
tff(pred_def_22,type,
sP17: vTerm > $o ).
tff(pred_def_23,type,
sP18: vTerm > $o ).
tff(pred_def_24,type,
sP19: vTerm > $o ).
tff(pred_def_25,type,
sP20: vTerm > $o ).
tff(pred_def_26,type,
sP21: vTerm > $o ).
tff(pred_def_27,type,
sP22: vTerm > $o ).
tff(pred_def_28,type,
sP23: vTerm > $o ).
tff(pred_def_29,type,
sP24: vTerm > $o ).
tff(f37,axiom,
! [X0: vTerm] : ( vnoTerm != vsomeTerm(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noTerm-someTerm') ).
tff(f73,axiom,
! [X0: vTerm] :
( ( ~ visNV(X0)
& visSomeTerm(vreduce(vSucc(X0))) )
=> ( vreduce(vIszero(vSucc(X0))) = vsomeTerm(vIszero(vgetTerm(vreduce(vSucc(X0))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-14') ).
tff(f107,conjecture,
! [X0: vTerm,X1: vTy] :
( ( visSomeTerm(vreduce(vSucc(X0)))
& ~ visNV(X0)
& ( vt1 != vZero )
& ( vt1 = vSucc(X0) )
& vptchecksimple(vIszero(vt1),X1)
& ~ visValue(vIszero(vt1)) )
=> ( vreduce(vIszero(vt1)) != vnoTerm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Progress-Iszero-Succ-isNV-False-isSomeTerm-True') ).
tff(f108,negated_conjecture,
~ ! [X0: vTerm,X1: vTy] :
( ( visSomeTerm(vreduce(vSucc(X0)))
& ~ visNV(X0)
& ( vt1 != vZero )
& ( vt1 = vSucc(X0) )
& vptchecksimple(vIszero(vt1),X1)
& ~ visValue(vIszero(vt1)) )
=> ( vreduce(vIszero(vt1)) != vnoTerm ) ),
inference(negated_conjecture,[status(cth)],[f107]) ).
tff(f148,plain,
! [X0: vTerm] :
( ( vreduce(vIszero(vSucc(X0))) = vsomeTerm(vIszero(vgetTerm(vreduce(vSucc(X0))))) )
| visNV(X0)
| ~ visSomeTerm(vreduce(vSucc(X0))) ),
inference(ennf_transformation,[],[f73]) ).
tff(f149,plain,
! [X0: vTerm] :
( ( vreduce(vIszero(vSucc(X0))) = vsomeTerm(vIszero(vgetTerm(vreduce(vSucc(X0))))) )
| visNV(X0)
| ~ visSomeTerm(vreduce(vSucc(X0))) ),
inference(flattening,[],[f148]) ).
tff(f191,plain,
? [X0: vTerm,X1: vTy] :
( ( vnoTerm = vreduce(vIszero(vt1)) )
& visSomeTerm(vreduce(vSucc(X0)))
& ~ visNV(X0)
& ( vt1 != vZero )
& ( vt1 = vSucc(X0) )
& vptchecksimple(vIszero(vt1),X1)
& ~ visValue(vIszero(vt1)) ),
inference(ennf_transformation,[],[f108]) ).
tff(f192,plain,
? [X0: vTerm,X1: vTy] :
( ( vnoTerm = vreduce(vIszero(vt1)) )
& visSomeTerm(vreduce(vSucc(X0)))
& ~ visNV(X0)
& ( vt1 != vZero )
& ( vt1 = vSucc(X0) )
& vptchecksimple(vIszero(vt1),X1)
& ~ visValue(vIszero(vt1)) ),
inference(flattening,[],[f191]) ).
tff(f315,plain,
( ( vnoTerm = vreduce(vIszero(vt1)) )
& visSomeTerm(vreduce(vSucc(sK122)))
& ~ visNV(sK122)
& ( vt1 != vZero )
& ( vt1 = vSucc(sK122) )
& vptchecksimple(vIszero(vt1),sK123)
& ~ visValue(vIszero(vt1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122,sK123]),skolemize(X0,sK122),skolemize(X1,sK123)],[f192]) ).
tff(f355,plain,
! [X0: vTerm] : ( vnoTerm != vsomeTerm(X0) ),
inference(cnf_transformation,[],[f37]) ).
tff(f425,plain,
! [X0: vTerm] :
( ~ visSomeTerm(vreduce(vSucc(X0)))
| visNV(X0)
| ( vreduce(vIszero(vSucc(X0))) = vsomeTerm(vIszero(vgetTerm(vreduce(vSucc(X0))))) ) ),
inference(cnf_transformation,[],[f149]) ).
tff(f579,plain,
vt1 = vSucc(sK122),
inference(cnf_transformation,[],[f315]) ).
tff(f581,plain,
~ visNV(sK122),
inference(cnf_transformation,[],[f315]) ).
tff(f582,plain,
visSomeTerm(vreduce(vSucc(sK122))),
inference(cnf_transformation,[],[f315]) ).
tff(f583,plain,
vnoTerm = vreduce(vIszero(vt1)),
inference(cnf_transformation,[],[f315]) ).
tff(f604,plain,
visSomeTerm(vreduce(vt1)),
inference(forward_demodulation,[],[f582,f579]) ).
tff(f919,plain,
( ~ visSomeTerm(vreduce(vt1))
| visNV(sK122)
| ( vreduce(vIszero(vt1)) = vsomeTerm(vIszero(vgetTerm(vreduce(vt1)))) ) ),
inference(superposition,[],[f425,f579]) ).
tff(f926,plain,
( visNV(sK122)
| ( vreduce(vIszero(vt1)) = vsomeTerm(vIszero(vgetTerm(vreduce(vt1)))) ) ),
inference(forward_subsumption_resolution,[],[f919,f604]) ).
tff(f927,plain,
vreduce(vIszero(vt1)) = vsomeTerm(vIszero(vgetTerm(vreduce(vt1)))),
inference(forward_subsumption_resolution,[],[f926,f581]) ).
tff(f928,plain,
vnoTerm = vsomeTerm(vIszero(vgetTerm(vreduce(vt1)))),
inference(forward_demodulation,[],[f927,f583]) ).
tff(f929,plain,
$false,
inference(forward_subsumption_resolution,[],[f928,f355]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM229_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 22:03:19 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.20/1.35 % (622892)Detected formulas, will run a generic FOF schedule.
% 4.20/1.35 % (623015)dis-21_1_sil=8000:lcm=predicate:random_seed=1972778757:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.20/1.35 % (623010)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=1881088128:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.20/1.35 % (623009)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=2001767926:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.20/1.35 % (623007)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=3291504754:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.20/1.35 % (623015)Instruction limit reached!
% 4.20/1.35 % (623015)------------------------------
% 4.20/1.35 % (623015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.35 % (623015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.35 % (623015)CaDiCaL version: 2.1.3
% 4.20/1.35 % (623015)Termination reason: Instruction limit
% 4.20/1.35 % (623015)Termination phase: Saturation
% 4.20/1.35 % (623015)Time elapsed: 0.064 s
% 4.20/1.35 % (623015)Peak memory usage: 90 MB
% 4.20/1.35 % (623015)Instructions burned: 129 (million)
% 4.20/1.35 % (623011)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4058296402:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.20/1.35 % (623014)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=284845145:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.20/1.35 % (623011)Refutation not found, incomplete strategy
% 4.20/1.35 % (623011)------------------------------
% 4.20/1.35 % (623011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.35 % (623011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.35 % (623011)CaDiCaL version: 2.1.3
% 4.20/1.35 % (623011)Termination reason: Refutation not found, incomplete strategy
% 4.20/1.35 % (623011)Time elapsed: 0.008 s
% 4.20/1.35 % (623011)Peak memory usage: 88 MB
% 4.20/1.35 % (623011)Instructions burned: 6 (million)
% 4.20/1.35 % (623013)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3266473086:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.20/1.35 % (623014)First to succeed.
% 4.20/1.35 % (623014)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-622892"
% 4.20/1.35 % (623013)Instruction limit reached!
% 4.20/1.35 % (623013)------------------------------
% 4.20/1.35 % (623013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.35 % (623013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.35 % (623013)CaDiCaL version: 2.1.3
% 4.20/1.35 % (623013)Termination reason: Instruction limit
% 4.20/1.35 % (623013)Termination phase: Saturation
% 4.20/1.35 % (623013)Time elapsed: 0.073 s
% 4.20/1.35 % (623013)Peak memory usage: 88 MB
% 4.20/1.35 % (623013)Instructions burned: 120 (million)
% 4.20/1.35 % (623057)lrs+10_1_sil=8000:sp=occurrence:random_seed=2630092460:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.20/1.35 % (623064)lrs+10_1_sil=32000:urr=on:br=off:random_seed=41863539:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.20/1.35 % (623057)Instruction limit reached!
% 4.20/1.35 % (623057)------------------------------
% 4.20/1.35 % (623057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.35 % (623057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.35 % (623057)CaDiCaL version: 2.1.3
% 4.20/1.35 % (623057)Termination reason: Instruction limit
% 4.20/1.35 % (623057)Termination phase: Saturation
% 4.20/1.35 % (623057)Time elapsed: 0.140 s
% 4.20/1.35 % (623057)Peak memory usage: 91 MB
% 4.20/1.35 % (623057)Instructions burned: 286 (million)
% 4.20/1.35 % (623011)------------------------------
% 4.20/1.35 % (623011)------------------------------
% 4.20/1.35 % (623064)Instruction limit reached!
% 4.20/1.35 % (623064)------------------------------
% 4.20/1.35 % (623064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.35 % (623064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.63 % (623064)CaDiCaL version: 2.1.3
% 5.46/1.63 % (623064)Termination reason: Instruction limit
% 5.46/1.63 % (623064)Termination phase: Saturation
% 5.46/1.63 % (623064)Time elapsed: 0.139 s
% 5.46/1.63 % (623064)Peak memory usage: 90 MB
% 5.46/1.63 % (623064)Instructions burned: 158 (million)
% 5.46/1.63 % (623014)Refutation found. Thanks to Tanya!
% 5.46/1.63 % SZS status Theorem for theBenchmark
% 5.46/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 5.46/1.64 % (623014)------------------------------
% 5.46/1.64 % (623014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.64 % (623014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.64 % (623014)CaDiCaL version: 2.1.3
% 5.46/1.64 % (623014)Termination reason: Refutation
% 5.46/1.64 % (623014)Time elapsed: 0.037 s
% 5.46/1.64 % (623014)Peak memory usage: 89 MB
% 5.46/1.64 % (623014)Instructions burned: 33 (million)
% 5.46/1.64 % (623014)------------------------------
% 5.46/1.64 % (623014)------------------------------
% 5.46/1.64 % (622892)Success in time 0.682 s
% 5.46/1.64 % Vampire exiting
%------------------------------------------------------------------------------