%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM222_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.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 01:04:36 PM UTC 2026
% Result : Theorem 3.67s 1.18s
% Output : CNFRefutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 78 ( 23 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 27 ~; 13 |; 19 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 11 ( 11 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 48 ( 48 usr; 9 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn 23 !; 4 ?; 27 :)
% 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 * vTerm ) ) > $o ).
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,
vt2: vTerm ).
tff(func_def_11,type,
vB: vTy ).
tff(func_def_12,type,
vIfelse: ( vTerm * ( vTerm * vTerm ) ) > vTerm ).
tff(func_def_13,type,
vt1: vTerm ).
tff(func_def_14,type,
vreduce: vTerm > vOptTerm ).
tff(func_def_15,type,
vplusop: ( vTerm * vTerm ) > vTerm ).
tff(func_def_16,type,
vgetTerm: vOptTerm > vTerm ).
tff(func_def_17,type,
sK1: vTy ).
tff(func_def_18,type,
sK2: vTerm ).
tff(func_def_19,type,
sK3: vTerm > vTerm ).
tff(func_def_20,type,
sK4: vTerm > vTerm ).
tff(func_def_21,type,
sK5: vTerm > vTerm ).
tff(func_def_22,type,
sK6: vTerm > vTerm ).
tff(func_def_23,type,
sK7: vOptTerm > vTerm ).
tff(func_def_24,type,
sK8: vTerm > vTerm ).
tff(func_def_25,type,
sK9: vTerm > vTerm ).
tff(func_def_26,type,
sK10: vTerm > vTerm ).
tff(func_def_27,type,
sK11: vTerm > vTerm ).
tff(func_def_28,type,
sK12: vTerm > vTerm ).
tff(func_def_29,type,
sK13: vTerm > vTerm ).
tff(func_def_30,type,
sK14: vTerm > vTerm ).
tff(func_def_31,type,
sK15: vTerm > vTerm ).
tff(func_def_32,type,
sK16: vTerm > vTerm ).
tff(func_def_33,type,
sK17: vTerm > vTerm ).
tff(func_def_34,type,
sK18: vTerm > vTerm ).
tff(func_def_35,type,
sK19: vTerm > vTerm ).
tff(func_def_36,type,
sK20: vTerm > vTerm ).
tff(func_def_37,type,
sK21: vTerm > vTerm ).
tff(func_def_38,type,
sK22: vTerm > vTerm ).
tff(func_def_39,type,
sK23: vTerm > vTerm ).
tff(func_def_40,type,
sK24: vTerm > vTerm ).
tff(func_def_41,type,
sK25: vTerm > vTerm ).
tff(func_def_42,type,
sK26: vTerm > vTerm ).
tff(func_def_43,type,
sK27: vTerm > vTerm ).
tff(func_def_44,type,
sK28: vTerm > vTerm ).
tff(func_def_45,type,
sK29: vTerm > vTerm ).
tff(func_def_46,type,
sK30: vTerm > vTerm ).
tff(func_def_47,type,
sK31: ( vTerm * ( vTerm * vTerm ) ) > vTerm ).
tff(func_def_48,type,
sK32: ( vTerm * ( vTerm * vTerm ) ) > vTerm ).
tff(func_def_49,type,
sK33: ( vTerm * ( vTerm * vTerm ) ) > vTerm ).
tff(func_def_50,type,
sK34: ( vTerm * ( vTerm * vTerm ) ) > vTerm ).
tff(func_def_51,type,
sK35: vTerm > vTerm ).
tff(func_def_52,type,
sK36: vOptTerm > vTerm ).
tff(f37,axiom,
! [X0: vTerm] : ( vnoTerm != vsomeTerm(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noTerm-someTerm') ).
tff(f51,axiom,
~ visSomeTerm(vnoTerm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeTerm-0') ).
tff(f54,axiom,
! [X0: vOptTerm] :
( ~ visSomeTerm(X0)
=> ( X0 = vnoTerm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeTerm-false-INV') ).
tff(f81,axiom,
! [X0: vTerm,X1: vTerm] :
( ( ~ visSomeTerm(vreduce(X0))
& ~ visNV(X0) )
=> ( vreduce(vPlus(X0,X1)) = vnoTerm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-22') ).
tff(f108,conjecture,
! [X0: vTy,X1: vTerm] :
( ( ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) )
& vptchecksimple(vPlus(vt1,vt2),X0)
& ~ visNV(vt1)
& ~ visSomeTerm(vreduce(vt1)) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Plus-isNV-False-isSomeTerm-False') ).
tff(f109,negated_conjecture,
~ ! [X0: vTy,X1: vTerm] :
( ( ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) )
& vptchecksimple(vPlus(vt1,vt2),X0)
& ~ visNV(vt1)
& ~ visSomeTerm(vreduce(vt1)) )
=> vptchecksimple(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f108]) ).
tff(f112,plain,
? [X0: vTy,X1: vTerm] :
( ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) )
& vptchecksimple(vPlus(vt1,vt2),X0)
& ~ visNV(vt1)
& ~ visSomeTerm(vreduce(vt1))
& ~ vptchecksimple(X1,X0) ),
inference(ennf_transformation,[],[f109]) ).
tff(f113,plain,
? [X0: vTy,X1: vTerm] :
( ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) )
& vptchecksimple(vPlus(vt1,vt2),X0)
& ~ visNV(vt1)
& ~ visSomeTerm(vreduce(vt1))
& ~ vptchecksimple(X1,X0) ),
inference(flattening,[],[f112]) ).
tff(f141,plain,
! [X0: vTerm,X1: vTerm] :
( visSomeTerm(vreduce(X0))
| visNV(X0)
| ( vreduce(vPlus(X0,X1)) = vnoTerm ) ),
inference(ennf_transformation,[],[f81]) ).
tff(f142,plain,
! [X0: vTerm,X1: vTerm] :
( visSomeTerm(vreduce(X0))
| visNV(X0)
| ( vreduce(vPlus(X0,X1)) = vnoTerm ) ),
inference(flattening,[],[f141]) ).
tff(f165,plain,
! [X0: vOptTerm] :
( visSomeTerm(X0)
| ( X0 = vnoTerm ) ),
inference(ennf_transformation,[],[f54]) ).
tff(f168,plain,
( ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(sK2) )
& vptchecksimple(vPlus(vt1,vt2),sK1)
& ~ visNV(vt1)
& ~ visSomeTerm(vreduce(vt1))
& ~ vptchecksimple(sK2,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f113]) ).
tff(f183,plain,
vreduce(vPlus(vt1,vt2)) = vsomeTerm(sK2),
inference(cnf_transformation,[],[f168]) ).
tff(f185,plain,
~ visNV(vt1),
inference(cnf_transformation,[],[f168]) ).
tff(f186,plain,
~ visSomeTerm(vreduce(vt1)),
inference(cnf_transformation,[],[f168]) ).
tff(f225,plain,
! [X0: vTerm,X1: vTerm] :
( visSomeTerm(vreduce(X0))
| visNV(X0)
| ( vnoTerm = vreduce(vPlus(X0,X1)) ) ),
inference(cnf_transformation,[],[f142]) ).
tff(f277,plain,
! [X0: vOptTerm] :
( visSomeTerm(X0)
| ( vnoTerm = X0 ) ),
inference(cnf_transformation,[],[f165]) ).
tff(f278,plain,
~ visSomeTerm(vnoTerm),
inference(cnf_transformation,[],[f51]) ).
tff(f279,plain,
! [X0: vTerm] : ( vnoTerm != vsomeTerm(X0) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_50,negated_conjecture,
~ visSomeTerm(vreduce(vt1)),
inference(cnf_transformation,[],[f186]) ).
tcf(c_51,negated_conjecture,
~ visNV(vt1),
inference(cnf_transformation,[],[f185]) ).
tcf(c_53,negated_conjecture,
vreduce(vPlus(vt1,vt2)) = vsomeTerm(sK2),
inference(cnf_transformation,[],[f183]) ).
tcf(c_91,plain,
! [X0_vTerm: vTerm,X1_vTerm: vTerm] :
( visNV(X0_vTerm)
| visSomeTerm(vreduce(X0_vTerm))
| ( vreduce(vPlus(X0_vTerm,X1_vTerm)) = vnoTerm ) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_143,plain,
! [X0_vOptTerm: vOptTerm] :
( visSomeTerm(X0_vOptTerm)
| ( X0_vOptTerm = vnoTerm ) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_144,plain,
~ visSomeTerm(vnoTerm),
inference(cnf_transformation,[],[f278]) ).
tcf(c_145,plain,
! [X0_vTerm: vTerm] : vsomeTerm(X0_vTerm) != vnoTerm,
inference(cnf_transformation,[],[f279]) ).
tcf(c_2667,plain,
vreduce(vt1) = vnoTerm,
inference(superposition,[status(thm)],[c_143,c_50]) ).
tcf(c_3037,plain,
! [X0_vTerm: vTerm] :
( visSomeTerm(vnoTerm)
| visNV(vt1)
| ( vreduce(vPlus(vt1,X0_vTerm)) = vnoTerm ) ),
inference(superposition,[status(thm)],[c_2667,c_91]) ).
tcf(c_3072,plain,
! [X0_vTerm: vTerm] : vreduce(vPlus(vt1,X0_vTerm)) = vnoTerm,
inference(forward_subsumption_resolution,[status(thm)],[c_3037,c_144,c_51]) ).
tcf(c_3154,plain,
vsomeTerm(sK2) = vnoTerm,
inference(demodulation,[status(thm)],[c_53,c_3072]) ).
tcf(c_3155,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3154,c_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM222_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 08:01:04 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.67/1.18 % SZS status Started for theBenchmark.p
% 3.67/1.18 % SZS status Theorem for theBenchmark.p
% 3.67/1.18
% 3.67/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.67/1.18
% 3.67/1.18 % ------ iProver source info
% 3.67/1.18
% 3.67/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.67/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.67/1.18 % git: non_committed_changes: false
% 3.67/1.18
% 3.67/1.18 % ------ Parsing...
% 3.67/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 3.67/1.18 %
% 3.67/1.18
% 3.67/1.18 % ------ Preprocessing... sup_sim: 0 pe_s pe_e %
% 3.67/1.18
% 3.67/1.18 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 3.67/1.18 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 3.67/1.18 %
% 3.67/1.18
% 3.67/1.18 % ------ Preprocessing...
% 3.67/1.18 % ------ Proving...
% 3.67/1.18 % ------ Problem Properties
% 3.67/1.18
% 3.67/1.18 %
% 3.67/1.18 % clauses 98
% 3.67/1.18 % conjectures 5
% 3.67/1.18 % EPR 12
% 3.67/1.18 % Horn 77
% 3.67/1.18 % unary 43
% 3.67/1.18 % binary 33
% 3.67/1.18 % lits 195
% 3.67/1.18 % lits eq 118
% 3.67/1.18 % fd_pure 0
% 3.67/1.18 % fd_pseudo 0
% 3.67/1.18 % fd_cond 8
% 3.67/1.18 % fd_pseudo_cond 9
% 3.67/1.18 % AC symbols 0
% 3.67/1.18
% 3.67/1.18 % ------ Schedule dynamic 5 is on
% 3.67/1.18
% 3.67/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.67/1.18
% 3.67/1.18
% 3.67/1.18 % ------
% 3.67/1.18 % Current options:
% 3.67/1.18 % ------
% 3.67/1.18
% 3.67/1.18
% 3.67/1.18 %
% 3.67/1.18
% 3.67/1.18 % ------ Proving...
% 3.67/1.18 %
% 3.67/1.18
% 3.67/1.18 % SZS status Theorem for theBenchmark.p
% 3.67/1.18
% 3.67/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.67/1.18
% 3.67/1.18
%------------------------------------------------------------------------------