%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL839-1 : 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 : n010.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 02:08:32 PM UTC 2026
% Result : Unsatisfiable 1.00s 6.72s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f163,axiom,
! [X2,X3,X0,X1] :
( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2)
| c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typing__elims_I2_J_1) ).
fof(f436,axiom,
! [X0] :
( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f439,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_Ua____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f440,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f441,negated_conjecture,
! [X0] :
( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
tcf(c_551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2))
| ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_767,plain,
! [X0: $i] :
( v_thesis____
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_770,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_Ua____),
inference(cnf_transformation,[],[f439]) ).
tcf(c_771,negated_conjecture,
~ v_thesis____,
inference(cnf_transformation,[],[f440]) ).
tcf(c_772,negated_conjecture,
! [X0: $i] :
( v_thesis____
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) ),
inference(cnf_transformation,[],[f441]) ).
tcf(c_983,plain,
! [X0: $i] : ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0),
inference(global_subsumption_just,[status(thm)],[c_767,c_771,c_772]) ).
tcf(c_16690,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,c_Type_Osko__Type__Xtyping__elims__2__1(v_Ua____,c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OAbs(v_r____),v_a____)),
inference(superposition,[status(thm)],[c_770,c_551]) ).
tcf(c_16691,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16690,c_983]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL839-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n010.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Thu Sep 24 00:35:54 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.42 Running first-order theorem proving
% 0.13/5.42 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
% 0.13/5.43
% 0.13/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.43
% 0.13/5.43 % Detected problem language: tptp
% 0.13/5.44 % Proving...
% 1.00/6.72 % SZS status Started for theBenchmark.p
% 1.00/6.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.00/6.72
% 1.00/6.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.00/6.72
% 1.00/6.72 % ------ iProver source info
% 1.00/6.72
% 1.00/6.72 % git: date: 2026-07-19 20:42:38 +0200
% 1.00/6.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.00/6.72 % git: non_committed_changes: false
% 1.00/6.72
% 1.00/6.72 % ------ Parsing...% successful
% 1.00/6.72
% 1.00/6.72
% 1.00/6.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.00/6.72
% 1.00/6.72 % ------ Preprocessing... sup_sim: 21 sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 4 sf_s rm: 17 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 17 0s sf_e pe_s pe_e %
% 1.00/6.72
% 1.00/6.72 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.00/6.72
% 1.00/6.72 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.00/6.72 % ------ Proving...
% 1.00/6.72 % ------ Problem Properties
% 1.00/6.72
% 1.00/6.72 %
% 1.00/6.72 % clauses 227
% 1.00/6.72 % conjectures 0
% 1.00/6.72 % EPR 15
% 1.00/6.72 % Horn 214
% 1.00/6.72 % unary 84
% 1.00/6.72 % binary 104
% 1.00/6.72 % lits 421
% 1.00/6.72 % lits eq 137
% 1.00/6.72 % fd_pure 0
% 1.00/6.72 % fd_pseudo 0
% 1.00/6.72 % fd_cond 12
% 1.00/6.72 % fd_pseudo_cond 23
% 1.00/6.72 % AC symbols 0
% 1.00/6.72
% 1.00/6.72 % ------ Schedule dynamic 5 is on
% 1.00/6.72
% 1.00/6.72 % ------ no conjectures: strip conj schedule
% 1.00/6.72
% 1.00/6.72 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.00/6.72
% 1.00/6.72
% 1.00/6.72 % ------
% 1.00/6.72 % Current options:
% 1.00/6.72 % ------
% 1.00/6.72
% 1.00/6.72
% 1.00/6.72 %
% 1.00/6.72
% 1.00/6.72 % ------ Proving...
% 1.00/6.72 %
% 1.00/6.72
% 1.00/6.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.00/6.72
% 1.00/6.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.00/6.73
% 1.00/6.73
%------------------------------------------------------------------------------