%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG365-1 : 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 : n002.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 12:54:06 PM UTC 2026
% Result : Unsatisfiable 4.51s 1.54s
% Output : CNFRefutation 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 9 ( 9 usr; 7 con; 0-5 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f423,axiom,
! [X0] :
( ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f469,axiom,
c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f470,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f471,negated_conjecture,
! [X0] :
( ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
tcf(c_863,plain,
! [X0: $i] :
( v_thesis____
| ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_904,plain,
c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal),
inference(cnf_transformation,[],[f469]) ).
tcf(c_905,negated_conjecture,
~ v_thesis____,
inference(cnf_transformation,[],[f470]) ).
tcf(c_906,negated_conjecture,
! [X0: $i] :
( v_thesis____
| ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f471]) ).
tcf(c_1325,plain,
! [X0: $i] : ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal),
inference(global_subsumption_just,[status(thm)],[c_863,c_905,c_906]) ).
tcf(c_1545,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_904,c_1325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG365-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.19/0.46 % Computer : n002.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Fri Sep 25 05:31:35 UTC 2026
% 0.23/0.47 % CPUTime :
% 0.23/0.47 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 0.23/0.54
% 0.23/0.54 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.54
% 0.23/0.54 % Detected problem language: tptp
% 0.23/0.55 % Proving...
% 4.51/1.54 % SZS status Started for theBenchmark.p
% 4.51/1.54 % SZS status Unsatisfiable for theBenchmark.p
% 4.51/1.54
% 4.51/1.54 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.51/1.54
% 4.51/1.54 % ------ iProver source info
% 4.51/1.54
% 4.51/1.54 % git: date: 2026-07-19 20:42:38 +0200
% 4.51/1.54 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.51/1.54 % git: non_committed_changes: false
% 4.51/1.54
% 4.51/1.54 % ------ Parsing...% successful
% 4.51/1.54
% 4.51/1.54
% 4.51/1.54 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.51/1.54
% 4.51/1.54 % ------ Preprocessing...%
% 4.51/1.54
% 4.51/1.54 % SZS status Unsatisfiable for theBenchmark.p
% 4.51/1.54
% 4.51/1.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.51/1.55
% 4.51/1.55
%------------------------------------------------------------------------------