%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM226_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 : Fri Sep 25 01:04:37 PM UTC 2026
% Result : Theorem 5.52s 3.26s
% Output : CNFRefutation 5.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 61 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 307 ( 46 equ)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 94 ( 39 ~; 32 |; 14 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 191 ( 191 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 39 ( 37 usr; 5 prp; 0-3 aty)
% Number of functors : 86 ( 86 usr; 3 con; 0-3 aty)
% Number of variables : 59 ( 0 sgn 53 !; 6 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
vNat: 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: ( vTy * vTerm ) > $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(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: vTy ).
tff(func_def_114,type,
sK123: vTerm ).
tff(f36,axiom,
! [X0: vTerm,X1: vTerm] :
( ( vsomeTerm(X0) = vsomeTerm(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-someTerm') ).
tff(f40,axiom,
! [X0: vTerm] : ( vgetTerm(vsomeTerm(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getTerm-0') ).
tff(f53,axiom,
! [X0: vOptTerm] :
( visSomeTerm(X0)
=> ? [X1: vTerm] : ( X0 = vsomeTerm(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','isSomeTerm-true-INV') ).
tff(f63,axiom,
! [X0: vTerm] :
( visSomeTerm(vreduce(X0))
=> ( vreduce(vSucc(X0)) = vsomeTerm(vSucc(vgetTerm(vreduce(X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduce-4') ).
tff(f92,axiom,
! [X0: vTerm] :
( vptchecksimple(X0,vNat)
=> vptchecksimple(vSucc(X0),vNat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','TSucc') ).
tff(f93,axiom,
! [X0: vTerm,X1: vTy] :
( vptchecksimple(vSucc(X0),X1)
=> ( X1 = vNat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','TSucc_inv1') ).
tff(f94,axiom,
! [X0: vTerm] :
( vptchecksimple(vSucc(X0),vNat)
=> vptchecksimple(X0,vNat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','TSucc_inv2') ).
tff(f105,axiom,
! [X0: vTy,X1: vTerm] :
( ( ( vreduce(vt1) = vsomeTerm(X1) )
& vptchecksimple(vt1,X0) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Preservation-Succ-IH0') ).
tff(f106,conjecture,
! [X0: vTy,X1: vTerm] :
( ( ( vreduce(vSucc(vt1)) = vsomeTerm(X1) )
& vptchecksimple(vSucc(vt1),X0)
& visSomeTerm(vreduce(vt1)) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Preservation-Succ-isSomeTerm-True') ).
tff(f107,negated_conjecture,
~ ! [X0: vTy,X1: vTerm] :
( ( ( vreduce(vSucc(vt1)) = vsomeTerm(X1) )
& vptchecksimple(vSucc(vt1),X0)
& visSomeTerm(vreduce(vt1)) )
=> vptchecksimple(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f106]) ).
tff(f115,plain,
! [X0: vTerm,X1: vTerm] :
( ( vsomeTerm(X1) != vsomeTerm(X0) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f36]) ).
tff(f127,plain,
! [X0: vOptTerm] :
( ~ visSomeTerm(X0)
| ? [X1: vTerm] : ( X0 = vsomeTerm(X1) ) ),
inference(ennf_transformation,[],[f53]) ).
tff(f135,plain,
! [X0: vTerm] :
( ~ visSomeTerm(vreduce(X0))
| ( vreduce(vSucc(X0)) = vsomeTerm(vSucc(vgetTerm(vreduce(X0)))) ) ),
inference(ennf_transformation,[],[f63]) ).
tff(f173,plain,
! [X0: vTerm] :
( ~ vptchecksimple(X0,vNat)
| vptchecksimple(vSucc(X0),vNat) ),
inference(ennf_transformation,[],[f92]) ).
tff(f174,plain,
! [X0: vTerm,X1: vTy] :
( ~ vptchecksimple(vSucc(X0),X1)
| ( X1 = vNat ) ),
inference(ennf_transformation,[],[f93]) ).
tff(f175,plain,
! [X0: vTerm] :
( ~ vptchecksimple(vSucc(X0),vNat)
| vptchecksimple(X0,vNat) ),
inference(ennf_transformation,[],[f94]) ).
tff(f187,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vt1) )
| ~ vptchecksimple(vt1,X0)
| vptchecksimple(X1,X0) ),
inference(ennf_transformation,[],[f105]) ).
tff(f188,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vt1) )
| ~ vptchecksimple(vt1,X0)
| vptchecksimple(X1,X0) ),
inference(flattening,[],[f187]) ).
tff(f189,plain,
? [X0: vTy,X1: vTerm] :
( ( vreduce(vSucc(vt1)) = vsomeTerm(X1) )
& vptchecksimple(vSucc(vt1),X0)
& visSomeTerm(vreduce(vt1))
& ~ vptchecksimple(X1,X0) ),
inference(ennf_transformation,[],[f107]) ).
tff(f190,plain,
? [X0: vTy,X1: vTerm] :
( ( vreduce(vSucc(vt1)) = vsomeTerm(X1) )
& vptchecksimple(vSucc(vt1),X0)
& visSomeTerm(vreduce(vt1))
& ~ vptchecksimple(X1,X0) ),
inference(flattening,[],[f189]) ).
tff(f229,plain,
! [X0: vOptTerm] :
( ~ visSomeTerm(X0)
| ( vsomeTerm(sK40(X0)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(X1,sK40(X0))],[f127]) ).
tff(f313,plain,
( ( vreduce(vSucc(vt1)) = vsomeTerm(sK123) )
& vptchecksimple(vSucc(vt1),sK122)
& visSomeTerm(vreduce(vt1))
& ~ vptchecksimple(sK123,sK122) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122,sK123]),skolemize(X0,sK122),skolemize(X1,sK123)],[f190]) ).
tff(f352,plain,
! [X0: vTerm,X1: vTerm] :
( ( vsomeTerm(X1) != vsomeTerm(X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f115]) ).
tff(f356,plain,
! [X0: vTerm] : ( vgetTerm(vsomeTerm(X0)) = X0 ),
inference(cnf_transformation,[],[f40]) ).
tff(f383,plain,
! [X0: vOptTerm] :
( ~ visSomeTerm(X0)
| ( vsomeTerm(sK40(X0)) = X0 ) ),
inference(cnf_transformation,[],[f229]) ).
tff(f413,plain,
! [X0: vTerm] :
( ~ visSomeTerm(vreduce(X0))
| ( vreduce(vSucc(X0)) = vsomeTerm(vSucc(vgetTerm(vreduce(X0)))) ) ),
inference(cnf_transformation,[],[f135]) ).
tff(f560,plain,
! [X0: vTerm] :
( ~ vptchecksimple(X0,vNat)
| vptchecksimple(vSucc(X0),vNat) ),
inference(cnf_transformation,[],[f173]) ).
tff(f561,plain,
! [X0: vTerm,X1: vTy] :
( ~ vptchecksimple(vSucc(X0),X1)
| ( vNat = X1 ) ),
inference(cnf_transformation,[],[f174]) ).
tff(f562,plain,
! [X0: vTerm] :
( ~ vptchecksimple(vSucc(X0),vNat)
| vptchecksimple(X0,vNat) ),
inference(cnf_transformation,[],[f175]) ).
tff(f573,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vt1) )
| ~ vptchecksimple(vt1,X0)
| vptchecksimple(X1,X0) ),
inference(cnf_transformation,[],[f188]) ).
tff(f574,plain,
vreduce(vSucc(vt1)) = vsomeTerm(sK123),
inference(cnf_transformation,[],[f313]) ).
tff(f575,plain,
vptchecksimple(vSucc(vt1),sK122),
inference(cnf_transformation,[],[f313]) ).
tff(f576,plain,
visSomeTerm(vreduce(vt1)),
inference(cnf_transformation,[],[f313]) ).
tff(f577,plain,
~ vptchecksimple(sK123,sK122),
inference(cnf_transformation,[],[f313]) ).
tcf(c_87,plain,
! [X0_vTerm: vTerm,X1_vTerm: vTerm] :
( ( X0_vTerm = X1_vTerm )
| ( vsomeTerm(X0_vTerm) != vsomeTerm(X1_vTerm) ) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_91,plain,
! [X0_vTerm: vTerm] : vgetTerm(vsomeTerm(X0_vTerm)) = X0_vTerm,
inference(cnf_transformation,[],[f356]) ).
tcf(c_118,plain,
! [X0_vOptTerm: vOptTerm] :
( ( vsomeTerm(sK40(X0_vOptTerm)) = X0_vOptTerm )
| ~ visSomeTerm(X0_vOptTerm) ),
inference(cnf_transformation,[],[f383]) ).
tcf(c_148,plain,
! [X0_vTerm: vTerm] :
( ( vsomeTerm(vSucc(vgetTerm(vreduce(X0_vTerm)))) = vreduce(vSucc(X0_vTerm)) )
| ~ visSomeTerm(vreduce(X0_vTerm)) ),
inference(cnf_transformation,[],[f413]) ).
tcf(c_295,plain,
! [X0_vTerm: vTerm] :
( vptchecksimple(vSucc(X0_vTerm),vNat)
| ~ vptchecksimple(X0_vTerm,vNat) ),
inference(cnf_transformation,[],[f560]) ).
tcf(c_296,plain,
! [X0_vTerm: vTerm,X0_vTy: vTy] :
( ( X0_vTy = vNat )
| ~ vptchecksimple(vSucc(X0_vTerm),X0_vTy) ),
inference(cnf_transformation,[],[f561]) ).
tcf(c_297,plain,
! [X0_vTerm: vTerm] :
( vptchecksimple(X0_vTerm,vNat)
| ~ vptchecksimple(vSucc(X0_vTerm),vNat) ),
inference(cnf_transformation,[],[f562]) ).
tcf(c_308,plain,
! [X0_vTerm: vTerm,X0_vTy: vTy] :
( vptchecksimple(X0_vTerm,X0_vTy)
| ~ vptchecksimple(vt1,X0_vTy)
| ( vsomeTerm(X0_vTerm) != vreduce(vt1) ) ),
inference(cnf_transformation,[],[f573]) ).
tcf(c_309,negated_conjecture,
~ vptchecksimple(sK123,sK122),
inference(cnf_transformation,[],[f577]) ).
tcf(c_310,negated_conjecture,
visSomeTerm(vreduce(vt1)),
inference(cnf_transformation,[],[f576]) ).
tcf(c_311,negated_conjecture,
vptchecksimple(vSucc(vt1),sK122),
inference(cnf_transformation,[],[f575]) ).
tcf(c_312,negated_conjecture,
vreduce(vSucc(vt1)) = vsomeTerm(sK123),
inference(cnf_transformation,[],[f574]) ).
tcf(c_1289,plain,
vNat = sK122,
inference(superposition,[status(thm)],[c_311,c_296]) ).
tcf(c_1294,plain,
vptchecksimple(vSucc(vt1),vNat),
inference(superposition,[status(thm)],[c_1289,c_311]) ).
tcf(c_1295,plain,
~ vptchecksimple(sK123,vNat),
inference(superposition,[status(thm)],[c_1289,c_309]) ).
tcf(c_1296,plain,
vptchecksimple(vt1,vNat),
inference(superposition,[status(thm)],[c_1294,c_297]) ).
tcf(c_2779,plain,
vsomeTerm(sK40(vreduce(vt1))) = vreduce(vt1),
inference(superposition,[status(thm)],[c_310,c_118]) ).
tcf(c_2781,plain,
vgetTerm(vreduce(vt1)) = sK40(vreduce(vt1)),
inference(superposition,[status(thm)],[c_2779,c_91]) ).
tcf(c_2797,plain,
vsomeTerm(vgetTerm(vreduce(vt1))) = vreduce(vt1),
inference(superposition,[status(thm)],[c_2781,c_2779]) ).
tcf(c_6237,plain,
! [X0_vTy: vTy] :
( vptchecksimple(vgetTerm(vreduce(vt1)),X0_vTy)
| ~ vptchecksimple(vt1,X0_vTy) ),
inference(superposition,[status(thm)],[c_2797,c_308]) ).
tcf(c_6243,plain,
( vptchecksimple(vgetTerm(vreduce(vt1)),vNat)
| ~ vptchecksimple(vt1,vNat) ),
inference(instantiation,[status(thm)],[c_6237]) ).
tcf(c_8184,plain,
vsomeTerm(vSucc(vgetTerm(vreduce(vt1)))) = vreduce(vSucc(vt1)),
inference(superposition,[status(thm)],[c_310,c_148]) ).
tcf(c_8263,plain,
! [X0_vTerm: vTerm] :
( ( vSucc(vgetTerm(vreduce(vt1))) = X0_vTerm )
| ( vreduce(vSucc(vt1)) != vsomeTerm(X0_vTerm) ) ),
inference(superposition,[status(thm)],[c_8184,c_87]) ).
tcf(c_8414,plain,
! [X0_vTerm: vTerm] :
( ( vSucc(vgetTerm(vreduce(vt1))) = X0_vTerm )
| ( vsomeTerm(X0_vTerm) != vsomeTerm(sK123) ) ),
inference(superposition,[status(thm)],[c_312,c_8263]) ).
tcf(c_8465,plain,
vSucc(vgetTerm(vreduce(vt1))) = sK123,
inference(equality_resolution,[status(thm)],[c_8414]) ).
tcf(c_8542,plain,
( vptchecksimple(sK123,vNat)
| ~ vptchecksimple(vgetTerm(vreduce(vt1)),vNat) ),
inference(superposition,[status(thm)],[c_8465,c_295]) ).
tcf(c_8561,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8542,c_6243,c_1296,c_1295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM226_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 08:00:32 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 5.52/3.26 % SZS status Started for theBenchmark.p
% 5.52/3.26 % SZS status Theorem for theBenchmark.p
% 5.52/3.26
% 5.52/3.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.52/3.26
% 5.52/3.26 % ------ iProver source info
% 5.52/3.26
% 5.52/3.26 % git: date: 2026-07-19 20:42:38 +0200
% 5.52/3.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.52/3.26 % git: non_committed_changes: false
% 5.52/3.26
% 5.52/3.26 % ------ Parsing...
% 5.52/3.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.52/3.26
% 5.52/3.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e %
% 5.52/3.26
% 5.52/3.26 % ------ Preprocessing...%
% 5.52/3.26
% 5.52/3.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 5.52/3.26 % ------ Proving...
% 5.52/3.26 % ------ Problem Properties
% 5.52/3.26
% 5.52/3.26 %
% 5.52/3.26 % clauses 264
% 5.52/3.26 % conjectures 76
% 5.52/3.26 % EPR 20
% 5.52/3.26 % Horn 214
% 5.52/3.26 % unary 49
% 5.52/3.26 % binary 164
% 5.52/3.26 % lits 731
% 5.52/3.26 % lits eq 282
% 5.52/3.26 % fd_pure 1
% 5.52/3.26 % fd_pseudo 0
% 5.52/3.26 % fd_cond 19
% 5.52/3.26 % fd_pseudo_cond 9
% 5.52/3.26 % AC symbols 0
% 5.52/3.26
% 5.52/3.26 % ------ Input Options Time Limit: Unbounded
% 5.52/3.26
% 5.52/3.26
% 5.52/3.26 % ------
% 5.52/3.26 % Current options:
% 5.52/3.26 % ------
% 5.52/3.26
% 5.52/3.26
% 5.52/3.26 %
% 5.52/3.26
% 5.52/3.26 % ------ Proving...
% 5.52/3.26 %
% 5.52/3.26
% 5.52/3.26 % SZS status Theorem for theBenchmark.p
% 5.52/3.26
% 5.52/3.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.52/3.27
% 5.52/3.27
%------------------------------------------------------------------------------