TSTP Solution File: ALG362-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG362-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:11:25 EDT 2024
% Result : Unsatisfiable 2.95s 0.82s
% Output : CNFRefutation 2.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 22
% Syntax : Number of formulae : 82 ( 23 unt; 0 def)
% Number of atoms : 155 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 140 ( 67 ~; 64 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f431,axiom,
! [V_x,V_y] :
( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f434,axiom,
! [V_x,V_y] :
( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
| V_x = V_y
| ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f523,axiom,
! [V_x] : ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f548,axiom,
! [V_r] :
( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = V_r
| c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f616,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f623,axiom,
! [V_x] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f624,axiom,
! [V_x] : c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(V_x),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f625,axiom,
! [V_n] : c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,V_n),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f626,axiom,
! [V_w,V_z] :
( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
| c_lessequals(V_z,V_w,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f631,axiom,
! [V_w] : c_lessequals(V_w,V_w,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f632,axiom,
! [V_i,V_k,V_j] :
( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
| ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)
| ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f659,axiom,
! [V_z,V_w] :
( V_z = V_w
| ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)
| ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f675,negated_conjecture,
~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1498,plain,
! [X0,X1] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f431]) ).
fof(f1501,plain,
! [X0,X1] :
( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| X0 = X1
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f434]) ).
fof(f1636,plain,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f523]) ).
fof(f1668,plain,
! [X0] :
( c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = X0
| c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f548]) ).
fof(f1761,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f616]) ).
fof(f1771,plain,
! [X0] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f623]) ).
fof(f1772,plain,
! [X0] : c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(X0),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f624]) ).
fof(f1773,plain,
! [X0] : c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,X0),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f625]) ).
fof(f1774,plain,
! [X0,X1] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X1,X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f626]) ).
fof(f1782,plain,
! [X0] : c_lessequals(X0,X0,tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f631]) ).
fof(f1783,plain,
! [V_i,V_j] :
( ! [V_k] :
( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
| ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal) )
| ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ),
inference(miniscoping,[status(esa)],[f632]) ).
fof(f1784,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X0,X2,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f1783]) ).
fof(f1833,plain,
! [X0,X1] :
( X0 = X1
| ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f659]) ).
fof(f1859,plain,
~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f675]) ).
fof(f1992,plain,
( spl0_0
<=> v_r = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f1993,plain,
( v_r = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f1992]) ).
fof(f1995,plain,
( spl0_1
<=> c_lessequals(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f1997,plain,
( ~ c_lessequals(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_1 ),
inference(component_clause,[status(thm)],[f1995]) ).
fof(f1998,plain,
( v_r = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1833,f1761]) ).
fof(f1999,plain,
( spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1998,f1992,f1995]) ).
fof(f2008,plain,
c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(resolution,[status(thm)],[f1636,f1668]) ).
fof(f2019,plain,
( ~ c_HOL_Oord__class_Oless(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_1 ),
inference(resolution,[status(thm)],[f1997,f1498]) ).
fof(f2022,plain,
( c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal) = v_r
| spl0_1 ),
inference(resolution,[status(thm)],[f2019,f1668]) ).
fof(f2206,plain,
! [X0] :
( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1784,f1859]) ).
fof(f2293,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
| spl0_1 ),
inference(paramodulation,[status(thm)],[f2022,f1771]) ).
fof(f2307,plain,
( spl0_38
<=> c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = v_r ),
introduced(split_symbol_definition) ).
fof(f2308,plain,
( c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = v_r
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f2307]) ).
fof(f2310,plain,
( spl0_39
<=> c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f2312,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
| spl0_39 ),
inference(component_clause,[status(thm)],[f2310]) ).
fof(f2313,plain,
( c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = v_r
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
| spl0_1 ),
inference(resolution,[status(thm)],[f2293,f1501]) ).
fof(f2314,plain,
( spl0_38
| ~ spl0_39
| spl0_1 ),
inference(split_clause,[status(thm)],[f2313,f2307,f2310,f1995]) ).
fof(f2402,plain,
( spl0_43
<=> c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f2403,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f2402]) ).
fof(f2404,plain,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
| spl0_43 ),
inference(component_clause,[status(thm)],[f2402]) ).
fof(f2420,plain,
! [X0] :
( ~ c_lessequals(X0,v_r,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f2308,f2206]) ).
fof(f2421,plain,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
| ~ spl0_38 ),
inference(resolution,[status(thm)],[f2420,f1772]) ).
fof(f2422,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f2421,f1773]) ).
fof(f2423,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f2422]) ).
fof(f2434,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[status(thm)],[f2206,f1772]) ).
fof(f2435,plain,
( spl0_44
<=> c_lessequals(v_r,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f2437,plain,
( ~ c_lessequals(v_r,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_44 ),
inference(component_clause,[status(thm)],[f2435]) ).
fof(f2448,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(paramodulation,[status(thm)],[f2008,f1771]) ).
fof(f2561,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
| spl0_44 ),
inference(resolution,[status(thm)],[f2437,f1774]) ).
fof(f2687,plain,
( spl0_66
<=> c_lessequals(v_s,v_s,tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f2689,plain,
( ~ c_lessequals(v_s,v_s,tc_RealDef_Oreal)
| spl0_66 ),
inference(component_clause,[status(thm)],[f2687]) ).
fof(f2702,plain,
! [X0] :
( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2434,f1784]) ).
fof(f2709,plain,
( spl0_69
<=> c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f2833,plain,
! [X0] :
( ~ c_lessequals(X0,v_r,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| spl0_43 ),
inference(resolution,[status(thm)],[f2404,f1784]) ).
fof(f2850,plain,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
| spl0_43 ),
inference(resolution,[status(thm)],[f2833,f1772]) ).
fof(f2851,plain,
( $false
| spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f2850,f1773]) ).
fof(f2852,plain,
spl0_43,
inference(contradiction_clause,[status(thm)],[f2851]) ).
fof(f2938,plain,
( $false
| spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f2689,f1782]) ).
fof(f2939,plain,
spl0_66,
inference(contradiction_clause,[status(thm)],[f2938]) ).
fof(f3026,plain,
! [X0] :
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2702,f1774]) ).
fof(f3293,plain,
( spl0_108
<=> c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
introduced(split_symbol_definition) ).
fof(f3295,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| spl0_108 ),
inference(component_clause,[status(thm)],[f3293]) ).
fof(f3302,plain,
( $false
| spl0_108 ),
inference(trivial_equality_resolution,[status(esa)],[f3295]) ).
fof(f3303,plain,
spl0_108,
inference(contradiction_clause,[status(thm)],[f3302]) ).
fof(f3362,plain,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f3026,f2702]) ).
fof(f3363,plain,
~ spl0_69,
inference(split_clause,[status(thm)],[f3362,f2709]) ).
fof(f3407,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1993,f2448]) ).
fof(f3408,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1993,f3407]) ).
fof(f3410,plain,
( c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = v_r
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f3408,f1501]) ).
fof(f3411,plain,
( spl0_38
| ~ spl0_39
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f3410,f2307,f2310,f1992]) ).
fof(f3412,plain,
( $false
| spl0_44
| spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f2312,f2561]) ).
fof(f3413,plain,
( spl0_44
| spl0_39 ),
inference(contradiction_clause,[status(thm)],[f3412]) ).
fof(f3414,plain,
( ~ c_lessequals(v_r,c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f2403,f2206]) ).
fof(f3415,plain,
( ~ spl0_44
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f3414,f2435,f2402]) ).
fof(f3417,plain,
$false,
inference(sat_refutation,[status(thm)],[f1999,f2314,f2423,f2852,f2939,f3303,f3363,f3411,f3413,f3415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG362-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:39:10 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.39 % Drodi V3.6.0
% 2.95/0.82 % Refutation found
% 2.95/0.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.95/0.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.48/0.84 % Elapsed time: 0.494945 seconds
% 3.48/0.84 % CPU time: 3.514989 seconds
% 3.48/0.84 % Total memory used: 152.261 MB
% 3.48/0.84 % Net memory used: 150.345 MB
%------------------------------------------------------------------------------