%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG361-1 : 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 : n019.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 4.75s 1.43s
% Output : CNFRefutation 4.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 13 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-5 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f592,axiom,
! [X0] :
( ~ c_SEQ_Osubseq(X0)
| ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
fof(f594,axiom,
c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f595,axiom,
c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f596,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_644,negated_conjecture,
~ v_thesis____,
inference(cnf_transformation,[],[f596]) ).
tcf(c_645,plain,
! [X0: $i] :
( v_thesis____
| ~ c_SEQ_Osubseq(X0)
| ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ),
inference(cnf_transformation,[],[f592]) ).
tcf(c_680,plain,
c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
inference(cnf_transformation,[],[f595]) ).
tcf(c_681,plain,
c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
inference(cnf_transformation,[],[f594]) ).
tcf(c_1064,plain,
! [X0: $i] :
( ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
| ~ c_SEQ_Osubseq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_645,c_644,c_645]) ).
tcf(c_1065,plain,
! [X0: $i] :
( ~ c_SEQ_Osubseq(X0)
| ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ),
inference(renaming,[status(thm)],[c_1064]) ).
tcf(c_3195,plain,
! [X0: $i] :
( ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
| ( v_sko__CHAINED__1(v_s) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_1065,c_680]) ).
tcf(c_3196,plain,
~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
inference(unflattening,[status(thm)],[c_3195]) ).
tcf(c_3197,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3196,c_681]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG361-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.41 % Computer : n019.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.41 % CPULimit : 300
% 0.17/0.41 % WCLimit : 300
% 0.17/0.42 % DateTime : Fri Sep 25 05:28:19 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.47 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
% 0.17/0.49
% 0.17/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.49
% 0.17/0.49 % Detected problem language: tptp
% 0.23/0.51 % Proving...
% 4.75/1.43 % SZS status Started for theBenchmark.p
% 4.75/1.43 % SZS status Unsatisfiable for theBenchmark.p
% 4.75/1.43
% 4.75/1.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.75/1.43
% 4.75/1.43 % ------ iProver source info
% 4.75/1.43
% 4.75/1.43 % git: date: 2026-07-19 20:42:38 +0200
% 4.75/1.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.75/1.43 % git: non_committed_changes: false
% 4.75/1.43
% 4.75/1.43 % ------ Parsing...% successful
% 4.75/1.43
% 4.75/1.43
% 4.75/1.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.75/1.43
% 4.75/1.43 % ------ Preprocessing... sup_sim: 6 sf_s rm: 132 0s sf_e pe_s %
% 4.75/1.43
% 4.75/1.43 % SZS status Unsatisfiable for theBenchmark.p
% 4.75/1.43
% 4.75/1.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.75/1.43
% 4.75/1.43
%------------------------------------------------------------------------------