%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV598-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 : Thu Sep 24 02:49:12 PM UTC 2026
% Result : Unsatisfiable 0.14s 11.02s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of formulae : 50 ( 16 unt; 8 def)
% Number of atoms : 98 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 84 ( 36 ~; 40 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,axiom,
! [T_a,V_x,V_y] :
( c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| c_HOL_Oord__class_Oless(V_y,V_x,T_a)
| V_x = V_y
| ~ class_Orderings_Olinorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1206,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1216,axiom,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1218,axiom,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1219,axiom,
( v_x != c_Transcendental_Opi
| c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1220,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1221,negated_conjecture,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1222,negated_conjecture,
c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1289,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1561,plain,
! [X0,X1,X2] :
( c_HOL_Oord__class_Oless(X1,X2,X0)
| c_HOL_Oord__class_Oless(X2,X1,X0)
| X1 = X2
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f3223,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1206]) ).
fof(f3233,plain,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1216]) ).
fof(f3235,plain,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(thm)],[f1218]) ).
fof(f3236,plain,
( v_x != c_Transcendental_Opi
| c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(thm)],[f1219]) ).
fof(f3237,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(thm)],[f1220]) ).
fof(f3238,plain,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1221]) ).
fof(f3239,plain,
c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1222]) ).
fof(f3306,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1289]) ).
fof(f3366,definition,
( sQ5_spl
<=> c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f3368,plain,
( sQ5_spl
| c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f3366]) ).
fof(f3369,definition,
( sQ6_spl
<=> c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f3371,plain,
( sQ6_spl
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f3369]) ).
fof(f3372,definition,
( sQ7_spl
<=> c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f3375,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3235,f3366,f3369,f3372]) ).
fof(f3376,definition,
( sQ8_spl
<=> c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f3378,plain,
( sQ8_spl
| c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f3376]) ).
fof(f3379,definition,
( sQ9_spl
<=> v_x = c_Transcendental_Opi ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f3382,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3236,f3376,f3379]) ).
fof(f3383,definition,
( sQ10_spl
<=> c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f3385,plain,
( sQ10_spl
| ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f3383]) ).
fof(f3386,definition,
( sQ11_spl
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f3388,plain,
( sQ11_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f3386]) ).
fof(f3389,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3237,f3366,f3383,f3386]) ).
fof(f3405,plain,
( sQ5_spl
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(forward_demodulation,[status(thm)],[f3238,f3368]) ).
fof(f3406,plain,
( sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3405]) ).
fof(f3407,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f3406]) ).
fof(f3408,plain,
( sQ8_spl
| c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(forward_demodulation,[status(thm)],[f3239,f3378]) ).
fof(f3409,plain,
( sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3408]) ).
fof(f3410,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f3409]) ).
fof(f3415,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3371,f3233]) ).
fof(f3416,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f3415]) ).
fof(f3871,plain,
( sQ10_spl
| c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| c_Transcendental_Opi = v_x
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f3385,f1561]) ).
fof(f3879,definition,
( sQ52_spl
<=> class_Orderings_Olinorder(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f3881,plain,
( sQ52_spl
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f3879]) ).
fof(f3882,plain,
( sQ10_spl
| sQ7_spl
| sQ9_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f3871,f3879,f3379,f3372,f3383]) ).
fof(f3892,plain,
( sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3881,f3306]) ).
fof(f3893,plain,
sQ52_spl,
inference(contradiction_clause,[status(thm)],[f3892]) ).
fof(f3894,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3388,f3223]) ).
fof(f3895,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f3894]) ).
fof(f3896,plain,
$false,
inference(sat_refutation,[status(thm)],[f3375,f3382,f3389,f3407,f3410,f3416,f3882,f3893,f3895]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV598-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/10.58 % Computer : n010.cluster.edu
% 0.11/10.58 % Model : x86_64 x86_64
% 0.11/10.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.58 % Memory : 8046.5625MB
% 0.11/10.58 % OS : Linux 6.8.0-71-generic
% 0.11/10.58 % CPULimit : 300
% 0.11/10.58 % WCLimit : 300
% 0.11/10.58 % DateTime : Mon Sep 21 09:13:21 UTC 2026
% 0.11/10.58 % CPUTime :
% 0.14/10.68 % Drodi V4.1.1
% 0.14/11.02 % Refutation found
% 0.14/11.02 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/11.02 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/11.07 % Elapsed time: 0.467666 seconds
% 0.14/11.07 % CPU time: 2.935636 seconds
% 0.14/11.07 % Total memory used: 249.226 MB
% 0.14/11.07 % Net memory used: 247.809 MB
%------------------------------------------------------------------------------