%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL799-1 : 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 : n011.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 02:08:25 PM UTC 2026
% Result : Unsatisfiable 3.13s 1.20s
% Output : CNFRefutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 12 unt; 0 def)
% Number of atoms : 20 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f312,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uT_0) ).
fof(f317,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_argT_0) ).
fof(f318,axiom,
v_n____ = v_i____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_True_0) ).
fof(f319,plain,
v_i____ = v_n____,
inference(reorient_equations,[],[f318]) ).
fof(f325,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_Type_Otyping(X0,c_Lambda_Osubst(X4,X1,X3),X5)
| ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
| ~ c_Type_Otyping(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__lemma_0) ).
fof(f328,negated_conjecture,
~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f351,plain,
~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_n____),v_T_H_H____),
inference(definition_unfolding,[],[f328,f319]) ).
fof(f353,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
inference(definition_unfolding,[],[f317,f319]) ).
tcf(c_343,negated_conjecture,
~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_n____),v_T_H_H____),
inference(cnf_transformation,[],[f351]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Type_Otyping(X0,c_Lambda_Osubst(X3,X5,X1),X4)
| ~ c_Type_Otyping(X0,X5,X2)
| ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_364,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
inference(cnf_transformation,[],[f353]) ).
tcf(c_371,plain,
c_Type_Otyping(v_e____,v_u____,v_T____),
inference(cnf_transformation,[],[f312]) ).
tcf(c_4540,plain,
! [X0: $i] :
( c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,X0,v_n____),v_T_H_H____)
| ~ c_Type_Otyping(v_e____,X0,v_T____) ),
inference(superposition,[status(thm)],[c_364,c_348]) ).
tcf(c_4670,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(superposition,[status(thm)],[c_4540,c_343]) ).
tcf(c_4671,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4670,c_371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL799-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 00:31:28 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 3.13/1.20 % SZS status Started for theBenchmark.p
% 3.13/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.13/1.20
% 3.13/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.13/1.20
% 3.13/1.20 % ------ iProver source info
% 3.13/1.20
% 3.13/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 3.13/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.13/1.20 % git: non_committed_changes: false
% 3.13/1.20
% 3.13/1.20 % ------ Parsing...% successful
% 3.13/1.20
% 3.13/1.20
% 3.13/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.13/1.20
% 3.13/1.20 % ------ Preprocessing... sup_sim: 7 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.13/1.20
% 3.13/1.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.13/1.20
% 3.13/1.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.13/1.20 % ------ Proving...
% 3.13/1.20 % ------ Problem Properties
% 3.13/1.20
% 3.13/1.20 %
% 3.13/1.20 % clauses 97
% 3.13/1.20 % conjectures 1
% 3.13/1.20 % EPR 3
% 3.13/1.20 % Horn 94
% 3.13/1.20 % unary 36
% 3.13/1.20 % binary 47
% 3.13/1.20 % lits 178
% 3.13/1.20 % lits eq 85
% 3.13/1.20 % fd_pure 0
% 3.13/1.20 % fd_pseudo 0
% 3.13/1.20 % fd_cond 3
% 3.13/1.20 % fd_pseudo_cond 27
% 3.13/1.20 % AC symbols 0
% 3.13/1.20
% 3.13/1.20 % ------ Schedule dynamic 5 is on
% 3.13/1.20
% 3.13/1.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.13/1.20
% 3.13/1.20
% 3.13/1.20 % ------
% 3.13/1.20 % Current options:
% 3.13/1.20 % ------
% 3.13/1.20
% 3.13/1.20
% 3.13/1.20 %
% 3.13/1.20
% 3.13/1.20 % ------ Proving...
% 3.13/1.20 %
% 3.13/1.20
% 3.13/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.13/1.20
% 3.13/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.13/1.20
% 3.13/1.20
%------------------------------------------------------------------------------