%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL788-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p 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 : Fri Sep 25 02:08:23 PM UTC 2026
% Result : Unsatisfiable 4.72s 1.32s
% Output : CNFRefutation 4.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 20 unt; 2 def)
% Number of atoms : 33 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 7 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-5 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f261,axiom,
! [X2,X0,X1] :
( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2)
| hAPP(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing__elims_I1_J_0) ).
fof(f262,axiom,
v_n____ = v_i____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_True_0) ).
fof(f263,axiom,
! [X2,X3,X0,X1] : hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shift__eq_0) ).
fof(f308,axiom,
! [X2,X3,X0,X1,X4,X5] : c_List_Ofoldr(X0,c_List_Olist_OCons(X1,X2,X3),X4,X3,X5) = hAPP(hAPP(X0,X1),c_List_Ofoldr(X0,X2,X4,X3,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldr_Osimps_I2_J_0) ).
fof(f312,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_varT_0) ).
fof(f323,negated_conjecture,
v_T____ != hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f365,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
inference(definition_unfolding,[],[f312,f262]) ).
tcf(c_483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hAPP(X0,X1) = X2 )
| ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
inference(cnf_transformation,[],[f261]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
inference(cnf_transformation,[],[f263]) ).
tcf(c_514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : hAPP(hAPP(X0,X1),c_List_Ofoldr(X0,X2,X3,X4,X5)) = c_List_Ofoldr(X0,c_List_Olist_OCons(X1,X2,X4),X3,X4,X5),
inference(cnf_transformation,[],[f308]) ).
tcf(c_518,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
inference(cnf_transformation,[],[f365]) ).
tcf(c_527,negated_conjecture,
hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) != v_T____,
inference(cnf_transformation,[],[f323]) ).
tcf(c_1674,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype)),
inference(demodulation,[status(thm)],[c_518,c_514]) ).
tcf(c_1675,plain,
c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype) != v_T____,
inference(demodulation,[status(thm)],[c_527,c_514]) ).
tcf(c_3285,definition,
iPr_def_10 = c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3286,definition,
iPr_def_11 = c_List_Ofoldr(c_Type_Otype_OFun,iPr_def_10,v_T_H____,tc_Type_Otype,tc_Type_Otype),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_3287,plain,
iPr_def_11 != v_T____,
inference(demodulation,[status(thm)],[c_1675,c_3285,c_3286]) ).
tcf(c_7722,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),iPr_def_11),
inference(light_normalisation,[status(thm)],[c_1674,c_3285,c_3286]) ).
tcf(c_7723,plain,
hAPP(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_i____) = iPr_def_11,
inference(superposition,[status(thm)],[c_7722,c_483]) ).
tcf(c_7745,plain,
v_T____ = iPr_def_11,
inference(demodulation,[status(thm)],[c_7723,c_484]) ).
tcf(c_7751,plain,
iPr_def_11 != iPr_def_11,
inference(demodulation,[status(thm)],[c_3287,c_7745]) ).
tcf(c_7752,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_7751]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL788-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n001.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 : Thu Sep 24 00:35:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.14/0.43
% 0.14/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.43
% 0.14/0.43 % Detected problem language: tptp
% 0.14/0.45 % Proving...
% 4.72/1.32 % SZS status Started for theBenchmark.p
% 4.72/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.72/1.32
% 4.72/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.72/1.32
% 4.72/1.32 % ------ iProver source info
% 4.72/1.32
% 4.72/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.72/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.72/1.32 % git: non_committed_changes: false
% 4.72/1.32
% 4.72/1.32 % ------ Parsing...% successful
% 4.72/1.32
% 4.72/1.32
% 4.72/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.72/1.32
% 4.72/1.32 % ------ Preprocessing... sup_sim: 32 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.72/1.32
% 4.72/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.72/1.32
% 4.72/1.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.72/1.32 % ------ Proving...
% 4.72/1.32 % ------ Problem Properties
% 4.72/1.32
% 4.72/1.32 %
% 4.72/1.32 % clauses 186
% 4.72/1.32 % conjectures 0
% 4.72/1.32 % EPR 3
% 4.72/1.32 % Horn 148
% 4.72/1.32 % unary 75
% 4.72/1.32 % binary 79
% 4.72/1.32 % lits 337
% 4.72/1.32 % lits eq 207
% 4.72/1.32 % fd_pure 0
% 4.72/1.32 % fd_pseudo 0
% 4.72/1.32 % fd_cond 3
% 4.72/1.32 % fd_pseudo_cond 49
% 4.72/1.32 % AC symbols 0
% 4.72/1.32
% 4.72/1.32 % ------ Schedule dynamic 5 is on
% 4.72/1.32
% 4.72/1.32 % ------ no conjectures: strip conj schedule
% 4.72/1.32
% 4.72/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.72/1.32
% 4.72/1.32
% 4.72/1.32 % ------
% 4.72/1.32 % Current options:
% 4.72/1.32 % ------
% 4.72/1.32
% 4.72/1.32
% 4.72/1.32 %
% 4.72/1.32
% 4.72/1.32 % ------ Proving...
% 4.72/1.32 %
% 4.72/1.32
% 4.72/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.72/1.32
% 4.72/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.72/1.32
% 4.72/1.32
%------------------------------------------------------------------------------