%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL826-1 : 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 : n026.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 02:08:30 PM UTC 2026
% Result : Unsatisfiable 0.80s 1.29s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f461,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X2),X1),v_T____)),v_a____),X3))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X0),v_T____))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f462,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f463,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f464,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f465,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
tcf(c_815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X3),X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),v_T____))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),v_T____)),v_a____),X2)) ),
inference(cnf_transformation,[],[f461]) ).
tcf(c_816,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa)),
inference(cnf_transformation,[],[f462]) ).
tcf(c_817,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
inference(cnf_transformation,[],[f463]) ).
tcf(c_818,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
inference(cnf_transformation,[],[f464]) ).
tcf(c_819,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc))),
inference(cnf_transformation,[],[f465]) ).
tcf(c_1053,plain,
! [X0: $i] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X0),v_xc)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),X0),v_T____)) ),
inference(superposition,[status(thm)],[c_816,c_815]) ).
tcf(c_1982,plain,
( ~ hBOOL(hAPP(c_InductTermi_OIT,v_xb))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)) ),
inference(superposition,[status(thm)],[c_1053,c_819]) ).
tcf(c_1983,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1982,c_818,c_817]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL826-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 00:35:54 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.44 % Proving...
% 0.80/1.29 % SZS status Started for theBenchmark.p
% 0.80/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.80/1.29
% 0.80/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.80/1.29
% 0.80/1.29 % ------ iProver source info
% 0.80/1.29
% 0.80/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.80/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.80/1.29 % git: non_committed_changes: false
% 0.80/1.29
% 0.80/1.29 % ------ Parsing...% successful
% 0.80/1.29
% 0.80/1.29
% 0.80/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.80/1.29 % ------ Proving...
% 0.80/1.29 % ------ Problem Properties
% 0.80/1.29
% 0.80/1.29 %
% 0.80/1.29 % clauses 381
% 0.80/1.29 % conjectures 4
% 0.80/1.29 % EPR 39
% 0.80/1.29 % Horn 350
% 0.80/1.29 % unary 150
% 0.80/1.29 % binary 160
% 0.80/1.29 % lits 704
% 0.80/1.29 % lits eq 261
% 0.80/1.29 % fd_pure 0
% 0.80/1.29 % fd_pseudo 0
% 0.80/1.29 % fd_cond 15
% 0.80/1.29 % fd_pseudo_cond 40
% 0.80/1.29 % AC symbols 0
% 0.80/1.29
% 0.80/1.29 % ------ Input Options Time Limit: Unbounded
% 0.80/1.29
% 0.80/1.29
% 0.80/1.29 % ------
% 0.80/1.29 % Current options:
% 0.80/1.29 % ------
% 0.80/1.29
% 0.80/1.29
% 0.80/1.29 %
% 0.80/1.29
% 0.80/1.29 % ------ Proving...
% 0.80/1.29 %
% 0.80/1.29
% 0.80/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.80/1.29
% 0.80/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.80/1.29
% 0.80/1.29
%------------------------------------------------------------------------------