%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG361-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 : Thu Sep 24 11:49:16 AM UTC 2026
% Result : Unsatisfiable 1.30s 0.74s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-5 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f509,axiom,
! [V_f] :
( ~ c_SEQ_Osubseq(V_f)
| ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,V_f,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f511,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') ).
fof(f512,axiom,
c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f513,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1376,plain,
! [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____ ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f1378,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,[status(thm)],[f511]) ).
fof(f1379,plain,
c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
inference(cnf_transformation,[status(thm)],[f512]) ).
fof(f1380,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f1467,definition,
( sQ0_spl
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( ~ sQ0_spl
| v_thesis____ ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1470,definition,
! [X0] :
( sQ1_spl
<=> ( ~ 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)) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
! [X0] :
( ~ sQ1_spl
| ~ 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(component_clause,[status(thm)],[f1470]) ).
fof(f1473,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1376,f1467,f1470]) ).
fof(f1474,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1468,f1380]) ).
fof(f1475,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f1474]) ).
fof(f5129,plain,
( ~ sQ1_spl
| ~ c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)) ),
inference(resolution,[status(thm)],[f1378,f1471]) ).
fof(f5134,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5129,f1379]) ).
fof(f5135,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f5134]) ).
fof(f5136,plain,
$false,
inference(sat_refutation,[status(thm)],[f1473,f1475,f5135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG361-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n012.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 13:17:22 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.39 % Drodi V4.1.1
% 1.30/0.74 % Refutation found
% 1.30/0.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.30/0.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.30/0.75 % Elapsed time: 0.386769 seconds
% 1.30/0.75 % CPU time: 2.655282 seconds
% 1.30/0.75 % Total memory used: 179.008 MB
% 1.30/0.75 % Net memory used: 176.865 MB
%------------------------------------------------------------------------------