%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL849-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 02:08:34 PM UTC 2026
% Result : Unsatisfiable 4.37s 1.29s
% Output : CNFRefutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f821,axiom,
! [X2,X3,X0,X1] : c_List_Ofoldl(X0,X1,c_List_Olist_ONil(X2),X3,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldl__Nil_0) ).
fof(f824,axiom,
! [X2,X3,X0,X1,X4,X5] : c_List_Ofoldl(X0,X1,c_List_Olist_OCons(X2,X3,X4),X5,X4) = c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X5,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldl__Cons_0) ).
fof(f834,negated_conjecture,
c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) != hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_List_Ofoldl(X0,X1,c_List_Olist_ONil(X2),X3,X2) = X1,
inference(cnf_transformation,[],[f821]) ).
tcf(c_1426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X4,X5) = c_List_Ofoldl(X0,X1,c_List_Olist_OCons(X2,X3,X5),X4,X5),
inference(cnf_transformation,[],[f824]) ).
tcf(c_1434,negated_conjecture,
c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) != hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))),
inference(cnf_transformation,[],[f834]) ).
tcf(c_1685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_List_Ofoldl(X0,X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X4,X3) = hAPP(hAPP(X0,X1),X2),
inference(superposition,[status(thm)],[c_1426,c_1423]) ).
tcf(c_1886,plain,
$false,
inference(superposition,[status(thm)],[c_1685,c_1434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL849-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n003.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 00:38:05 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 4.37/1.29 % SZS status Started for theBenchmark.p
% 4.37/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.37/1.29
% 4.37/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.37/1.29
% 4.37/1.29 % ------ iProver source info
% 4.37/1.29
% 4.37/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 4.37/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.37/1.29 % git: non_committed_changes: false
% 4.37/1.29
% 4.37/1.29 % ------ Parsing...% successful
% 4.37/1.29
% 4.37/1.29
% 4.37/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.37/1.29 % ------ Proving...
% 4.37/1.29 % ------ Problem Properties
% 4.37/1.29
% 4.37/1.29 %
% 4.37/1.29 % clauses 725
% 4.37/1.29 % conjectures 1
% 4.37/1.29 % EPR 121
% 4.37/1.29 % Horn 634
% 4.37/1.29 % unary 245
% 4.37/1.29 % binary 250
% 4.37/1.29 % lits 1547
% 4.37/1.29 % lits eq 527
% 4.37/1.29 % fd_pure 0
% 4.37/1.29 % fd_pseudo 0
% 4.37/1.29 % fd_cond 10
% 4.37/1.29 % fd_pseudo_cond 125
% 4.37/1.29 % AC symbols 0
% 4.37/1.29
% 4.37/1.29 % ------ Input Options Time Limit: Unbounded
% 4.37/1.29
% 4.37/1.29
% 4.37/1.29 % ------
% 4.37/1.29 % Current options:
% 4.37/1.29 % ------
% 4.37/1.29
% 4.37/1.29
% 4.37/1.29 %
% 4.37/1.29
% 4.37/1.29 % ------ Proving...
% 4.37/1.29 %
% 4.37/1.29
% 4.37/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.37/1.29
% 4.37/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.37/1.29
% 4.37/1.29
%------------------------------------------------------------------------------