%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM217_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 : n002.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 01:04:35 PM UTC 2026
% Result : Theorem 1.89s 1.29s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 134 ( 51 equ)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 124 ( 50 ~; 53 |; 16 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 27 ( 27 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 : 49 ( 49 usr; 10 con; 0-3 aty)
% Number of variables : 47 ( 0 sgn 43 !; 4 ?; 47 :)
% 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,
vt3: vTerm ).
tff(func_def_9,type,
vnoTerm: vOptTerm ).
tff(func_def_10,type,
vPlus: ( vTerm * vTerm ) > vTerm ).
tff(func_def_11,type,
vt2: vTerm ).
tff(func_def_12,type,
vB: vTy ).
tff(func_def_13,type,
vIfelse: ( vTerm * ( vTerm * vTerm ) ) > vTerm ).
tff(func_def_14,type,
vt1: vTerm ).
tff(func_def_15,type,
vreduce: vTerm > vOptTerm ).
tff(func_def_16,type,
vplusop: ( vTerm * vTerm ) > vTerm ).
tff(func_def_17,type,
vgetTerm: vOptTerm > vTerm ).
tff(func_def_18,type,
sK1: vTy ).
tff(func_def_19,type,
sK2: vTerm ).
tff(func_def_20,type,
sK3: vOptTerm > vTerm ).
tff(func_def_21,type,
sK4: vTerm > vTerm ).
tff(func_def_22,type,
sK5: vTerm > vTerm ).
tff(func_def_23,type,
sK6: vTerm > vTerm ).
tff(func_def_24,type,
sK7: vTerm > vTerm ).
tff(func_def_25,type,
sK8: vTerm > vTerm ).
tff(func_def_26,type,
sK9: vTerm > vTerm ).
tff(func_def_27,type,
sK10: vTerm > vTerm ).
tff(func_def_28,type,
sK11: vTerm > vTerm ).
tff(func_def_29,type,
sK12: vTerm > vTerm ).
tff(func_def_30,type,
sK13: vTerm > vTerm ).
tff(func_def_31,type,
sK14: vTerm > vTerm ).
tff(func_def_32,type,
sK15: vTerm > vTerm ).
tff(func_def_33,type,
sK16: vTerm > vTerm ).
tff(func_def_34,type,
sK17: vTerm > vTerm ).
tff(func_def_35,type,
sK18: vTerm > vTerm ).
tff(func_def_36,type,
sK19: vTerm > vTerm ).
tff(func_def_37,type,
sK20: vTerm > vTerm ).
tff(func_def_38,type,
sK21: vTerm > vTerm ).
tff(func_def_39,type,
sK22: vTerm > vTerm ).
tff(func_def_40,type,
sK23: vTerm > vTerm ).
tff(func_def_41,type,
sK24: vTerm > vTerm ).
tff(func_def_42,type,
sK25: vTerm > vTerm ).
tff(func_def_43,type,
sK26: vTerm > vTerm ).
tff(func_def_44,type,
sK27: vTerm > vTerm ).
tff(func_def_45,type,
sK28: vTerm > vTerm ).
tff(func_def_46,type,
sK29: vTerm > vTerm ).
tff(func_def_47,type,
sK30: vTerm > vTerm ).
tff(func_def_48,type,
sK31: ( vTerm * ( vTerm * vTerm ) ) > vTerm ).
tff(func_def_49,type,
sK32: ( vTerm * ( vTerm * vTerm ) ) > vTerm ).
tff(func_def_50,type,
sK33: ( vTerm * ( vTerm * vTerm ) ) > vTerm ).
tff(func_def_51,type,
sK34: ( vTerm * ( vTerm * vTerm ) ) > vTerm ).
tff(func_def_52,type,
sK35: vTerm > vTerm ).
tff(func_def_53,type,
sK36: vOptTerm > vTerm ).
tff(f106,axiom,
! [X0: vTy,X1: vTerm] :
( ( ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vt1 = vFalse )
& ( vt1 != vTrue ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Ifelse-False') ).
tff(f109,axiom,
! [X0: vTy,X1: vTerm] :
( ( ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vt1 = vTrue ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Ifelse-True') ).
tff(f110,axiom,
! [X0: vTy,X1: vTerm] :
( ( ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vt1 != vFalse )
& ( vt1 != vTrue ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Ifelse-t1') ).
tff(f111,conjecture,
! [X0: vTy,X1: vTerm] :
( ( ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Ifelse') ).
tff(f112,negated_conjecture,
~ ! [X0: vTy,X1: vTerm] :
( ( ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0) )
=> vptchecksimple(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f111]) ).
tff(f115,plain,
? [X0: vTy,X1: vTerm] :
( ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ~ vptchecksimple(X1,X0) ),
inference(ennf_transformation,[],[f112]) ).
tff(f116,plain,
? [X0: vTy,X1: vTerm] :
( ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ~ vptchecksimple(X1,X0) ),
inference(flattening,[],[f115]) ).
tff(f123,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vFalse = vt1 )
| ( vTrue = vt1 )
| vptchecksimple(X1,X0) ),
inference(ennf_transformation,[],[f110]) ).
tff(f124,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vFalse = vt1 )
| ( vTrue = vt1 )
| vptchecksimple(X1,X0) ),
inference(flattening,[],[f123]) ).
tff(f125,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vTrue != vt1 )
| vptchecksimple(X1,X0) ),
inference(ennf_transformation,[],[f109]) ).
tff(f126,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vTrue != vt1 )
| vptchecksimple(X1,X0) ),
inference(flattening,[],[f125]) ).
tff(f127,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vFalse != vt1 )
| ( vTrue = vt1 )
| vptchecksimple(X1,X0) ),
inference(ennf_transformation,[],[f106]) ).
tff(f128,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vFalse != vt1 )
| ( vTrue = vt1 )
| vptchecksimple(X1,X0) ),
inference(flattening,[],[f127]) ).
tff(f178,plain,
( ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(sK2) )
& vptchecksimple(vIfelse(vt1,vt2,vt3),sK1)
& ~ vptchecksimple(sK2,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f116]) ).
tff(f193,plain,
vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(sK2),
inference(cnf_transformation,[],[f178]) ).
tff(f194,plain,
vptchecksimple(vIfelse(vt1,vt2,vt3),sK1),
inference(cnf_transformation,[],[f178]) ).
tff(f195,plain,
~ vptchecksimple(sK2,sK1),
inference(cnf_transformation,[],[f178]) ).
tff(f207,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vFalse = vt1 )
| ( vTrue = vt1 )
| vptchecksimple(X1,X0) ),
inference(cnf_transformation,[],[f124]) ).
tff(f208,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vTrue != vt1 )
| vptchecksimple(X1,X0) ),
inference(cnf_transformation,[],[f126]) ).
tff(f209,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vFalse != vt1 )
| ( vTrue = vt1 )
| vptchecksimple(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_49,negated_conjecture,
~ vptchecksimple(sK2,sK1),
inference(cnf_transformation,[],[f195]) ).
tcf(c_50,negated_conjecture,
vptchecksimple(vIfelse(vt1,vt2,vt3),sK1),
inference(cnf_transformation,[],[f194]) ).
tcf(c_51,negated_conjecture,
vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(sK2),
inference(cnf_transformation,[],[f193]) ).
tcf(c_63,plain,
! [X0_vTerm: vTerm,X0_vTy: vTy] :
( vptchecksimple(X0_vTerm,X0_vTy)
| ( vFalse = vt1 )
| ( vTrue = vt1 )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0_vTy)
| ( vreduce(vIfelse(vt1,vt2,vt3)) != vsomeTerm(X0_vTerm) ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_64,plain,
! [X0_vTerm: vTerm,X0_vTy: vTy] :
( vptchecksimple(X0_vTerm,X0_vTy)
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0_vTy)
| ( vTrue != vt1 )
| ( vreduce(vIfelse(vt1,vt2,vt3)) != vsomeTerm(X0_vTerm) ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_65,plain,
! [X0_vTerm: vTerm,X0_vTy: vTy] :
( vptchecksimple(X0_vTerm,X0_vTy)
| ( vTrue = vt1 )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0_vTy)
| ( vFalse != vt1 )
| ( vreduce(vIfelse(vt1,vt2,vt3)) != vsomeTerm(X0_vTerm) ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_209,plain,
! [X0_vTerm: vTerm,X0_vTy: vTy] :
( vptchecksimple(X0_vTerm,X0_vTy)
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0_vTy)
| ( vreduce(vIfelse(vt1,vt2,vt3)) != vsomeTerm(X0_vTerm) ) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_64,c_63,c_65]) ).
tcf(c_213,plain,
! [X0_vTerm: vTerm,X0_vTy: vTy] :
( vptchecksimple(X0_vTerm,X0_vTy)
| ( vreduce(vIfelse(vt1,vt2,vt3)) != vsomeTerm(X0_vTerm) )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0_vTy) ),
inference(global_subsumption_just,[status(thm)],[c_65,c_209]) ).
tcf(c_214,plain,
! [X0_vTerm: vTerm,X0_vTy: vTy] :
( vptchecksimple(X0_vTerm,X0_vTy)
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0_vTy)
| ( vreduce(vIfelse(vt1,vt2,vt3)) != vsomeTerm(X0_vTerm) ) ),
inference(renaming,[status(thm)],[c_213]) ).
tcf(c_1128,plain,
! [X0_vTerm: vTerm,X0_vTy: vTy] :
( vptchecksimple(X0_vTerm,X0_vTy)
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0_vTy)
| ( vsomeTerm(X0_vTerm) != vsomeTerm(sK2) ) ),
inference(light_normalisation,[status(thm)],[c_214,c_51]) ).
tcf(c_3981,plain,
! [X0_vTy: vTy] :
( vptchecksimple(sK2,X0_vTy)
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0_vTy) ),
inference(equality_resolution,[status(thm)],[c_1128]) ).
tcf(c_3989,plain,
vptchecksimple(sK2,sK1),
inference(superposition,[status(thm)],[c_50,c_3981]) ).
tcf(c_3990,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3989,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM217_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 08:03:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 1.89/1.29 % SZS status Started for theBenchmark.p
% 1.89/1.29 % SZS status Theorem for theBenchmark.p
% 1.89/1.29
% 1.89/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.89/1.29
% 1.89/1.29 % ------ iProver source info
% 1.89/1.29
% 1.89/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.89/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.89/1.29 % git: non_committed_changes: false
% 1.89/1.29
% 1.89/1.29 % ------ Parsing...
% 1.89/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.89/1.29 %
% 1.89/1.29
% 1.89/1.29 % ------ Preprocessing... sup_sim: 1 pe_s pe_e sup_sim: 0 pe_s pe_e %
% 1.89/1.29
% 1.89/1.29 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.89/1.29 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
% 1.89/1.29 %
% 1.89/1.29
% 1.89/1.29 % ------ Preprocessing...
% 1.89/1.29 % ------ Proving...
% 1.89/1.29 % ------ Problem Properties
% 1.89/1.29
% 1.89/1.29 %
% 1.89/1.29 % clauses 97
% 1.89/1.29 % conjectures 3
% 1.89/1.29 % EPR 10
% 1.89/1.29 % Horn 76
% 1.89/1.29 % unary 40
% 1.89/1.29 % binary 32
% 1.89/1.29 % lits 199
% 1.89/1.29 % lits eq 120
% 1.89/1.29 % fd_pure 0
% 1.89/1.29 % fd_pseudo 0
% 1.89/1.29 % fd_cond 8
% 1.89/1.29 % fd_pseudo_cond 9
% 1.89/1.29 % AC symbols 0
% 1.89/1.29
% 1.89/1.29 % ------ Schedule dynamic 5 is on
% 1.89/1.29
% 1.89/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.89/1.29
% 1.89/1.29
% 1.89/1.29 % ------
% 1.89/1.29 % Current options:
% 1.89/1.29 % ------
% 1.89/1.29
% 1.89/1.29
% 1.89/1.29 %
% 1.89/1.29
% 1.89/1.29 % ------ Proving...
% 1.89/1.29 %
% 1.89/1.29
% 1.89/1.29 % SZS status Theorem for theBenchmark.p
% 1.89/1.29
% 1.89/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.89/1.29
% 1.89/1.29
%------------------------------------------------------------------------------