%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW237+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 03:07:29 PM UTC 2026
% Result : Theorem 12.90s 2.28s
% Output : CNFRefutation 12.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 64 ( 27 unt; 0 def)
% Number of atoms : 129 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 113 ( 48 ~; 52 |; 2 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 97 ( 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [V_b,V_a,T_a] :
( class_Groups_Oordered__ab__group__add__abs(T_a)
=> ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b)
=> c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [V_b_2,V_ca_2,V_ab_2,T_a] :
( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
=> ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ab_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2))
<=> c_Orderings_Oord__class_Oless__eq(T_a,V_ab_2,V_b_2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [V_c,V_b,V_a,T_a] :
( class_Groups_Oordered__ab__semigroup__add(T_a)
=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [V_w,V_z] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z)
=> V_z = V_w ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [V_k,V_j,V_i] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [V_w,V_z] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1112,axiom,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1120,axiom,
class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1121,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1287,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_mzh,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1288,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_ma),v_mzh),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1289,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1290,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh),
inference(negated_conjecture,[status(cth)],[f1289]) ).
fof(f1310,plain,
! [V_b,V_a,T_a] :
( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
| ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b)
| ~ class_Groups_Oordered__ab__group__add__abs(T_a) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f1311,plain,
! [T_a] :
( ! [V_b,V_a] :
( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
| ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b) )
| ~ class_Groups_Oordered__ab__group__add__abs(T_a) ),
inference(miniscoping,[status(thm)],[f1310]) ).
fof(f1312,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
| ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
inference(cnf_transformation,[status(thm)],[f1311]) ).
fof(f1313,plain,
! [V_b_2,V_ca_2,V_ab_2,T_a] :
( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ab_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2))
<=> c_Orderings_Oord__class_Oless__eq(T_a,V_ab_2,V_b_2) )
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f1314,plain,
! [V_b_2,V_ca_2,V_ab_2,T_a] :
( ( ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_ab_2,V_b_2)
| c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ab_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2)) )
& ( c_Orderings_Oord__class_Oless__eq(T_a,V_ab_2,V_b_2)
| ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ab_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2)) ) )
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) ),
inference(NNF_transformation,[status(thm)],[f1313]) ).
fof(f1315,plain,
! [T_a] :
( ( ! [V_b_2,V_ab_2] :
( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_ab_2,V_b_2)
| ! [V_ca_2] : c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ab_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2)) )
& ! [V_b_2,V_ab_2] :
( c_Orderings_Oord__class_Oless__eq(T_a,V_ab_2,V_b_2)
| ! [V_ca_2] : ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ab_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2)) ) )
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) ),
inference(miniscoping,[status(thm)],[f1314]) ).
fof(f1316,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
inference(cnf_transformation,[status(thm)],[f1315]) ).
fof(f1317,plain,
! [X0,X1,X2,X3] :
( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
| c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
inference(cnf_transformation,[status(thm)],[f1315]) ).
fof(f1323,plain,
! [V_c,V_b,V_a,T_a] :
( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c))
| ~ c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
| ~ class_Groups_Oordered__ab__semigroup__add(T_a) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f1324,plain,
! [T_a] :
( ! [V_b,V_a] :
( ! [V_c] : c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c))
| ~ c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) )
| ~ class_Groups_Oordered__ab__semigroup__add(T_a) ),
inference(miniscoping,[status(thm)],[f1323]) ).
fof(f1325,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3))
| ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
| ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
inference(cnf_transformation,[status(thm)],[f1324]) ).
fof(f1479,plain,
! [V_w,V_z] :
( V_z = V_w
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w) ),
inference(pre_NNF_transformation,[status(thm)],[f55]) ).
fof(f1480,plain,
! [X0,X1] :
( X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1479]) ).
fof(f1481,plain,
! [V_k,V_j,V_i] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j) ),
inference(pre_NNF_transformation,[status(thm)],[f56]) ).
fof(f1482,plain,
! [V_j,V_i] :
( ! [V_k] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k) )
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j) ),
inference(miniscoping,[status(thm)],[f1481]) ).
fof(f1483,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1482]) ).
fof(f1484,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f1485,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f4723,plain,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1112]) ).
fof(f4731,plain,
class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1120]) ).
fof(f4732,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1121]) ).
fof(f4958,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_mzh,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma)),
inference(cnf_transformation,[status(thm)],[f1287]) ).
fof(f4959,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_ma),v_mzh),
inference(cnf_transformation,[status(thm)],[f1288]) ).
fof(f4960,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh),
inference(cnf_transformation,[status(thm)],[f1290]) ).
fof(f5226,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_mazh,v_da____),
inference(resolution,[status(thm)],[f1484,f4960]) ).
fof(f5280,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| ~ class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1312,f1484]) ).
fof(f5284,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f5280,f4732]) ).
fof(f5311,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_mzh,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma),X0) ),
inference(resolution,[status(thm)],[f4958,f1483]) ).
fof(f5312,plain,
( v_mzh = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma),v_mzh) ),
inference(resolution,[status(thm)],[f4958,f1480]) ).
fof(f5356,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,X0))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1317,f5226]) ).
fof(f5367,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,X0)),
inference(forward_subsumption_resolution,[status(thm)],[f5356,f4723]) ).
fof(f5410,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))
| ~ class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)) ),
inference(resolution,[status(thm)],[f5284,f1312]) ).
fof(f5412,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f5410,f4732]) ).
fof(f5825,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_mzh,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,v_ma)),
inference(resolution,[status(thm)],[f5311,f5367]) ).
fof(f5843,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_mzh,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,v_ma),X0) ),
inference(resolution,[status(thm)],[f5825,f1483]) ).
fof(f5844,plain,
( v_mzh = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,v_ma)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,v_ma),v_mzh) ),
inference(resolution,[status(thm)],[f5825,f1480]) ).
fof(f5881,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),X1))
| ~ class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f5412,f1325]) ).
fof(f5909,plain,
! [X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),X1)),
inference(forward_subsumption_resolution,[status(thm)],[f5881,f4731]) ).
fof(f6897,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_mzh,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_ma)),
inference(resolution,[status(thm)],[f5909,f5843]) ).
fof(f6921,plain,
( v_mzh = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_ma)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_ma),v_mzh) ),
inference(resolution,[status(thm)],[f6897,f1480]) ).
fof(f6935,plain,
v_mzh = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_ma),
inference(forward_subsumption_resolution,[status(thm)],[f6921,f4959]) ).
fof(f6942,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,v_ma),v_mzh),
inference(paramodulation,[status(thm)],[f6935,f5909]) ).
fof(f6949,plain,
v_mzh = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,v_ma),
inference(backward_subsumption_resolution,[status(thm)],[f5844,f6942]) ).
fof(f7136,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma),v_mzh),
inference(paramodulation,[status(thm)],[f6949,f5367]) ).
fof(f7144,plain,
v_mzh = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma),
inference(backward_subsumption_resolution,[status(thm)],[f5312,f7136]) ).
fof(f7203,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_mazh)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,v_ma),v_mzh)
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f7144,f1316]) ).
fof(f7210,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_mazh)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,v_ma),v_mzh) ),
inference(forward_subsumption_resolution,[status(thm)],[f7203,f4723]) ).
fof(f7689,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_mzh,v_mzh) ),
inference(paramodulation,[status(thm)],[f6949,f7210]) ).
fof(f7692,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh),
inference(forward_subsumption_resolution,[status(thm)],[f7689,f1485]) ).
fof(f7693,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f4960,f7692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW237+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 09:42:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.21/0.47 % Drodi V4.1.1
% 12.90/2.28 % Refutation found
% 12.90/2.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.90/2.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.70/2.33 % Elapsed time: 1.950824 seconds
% 0.70/2.33 % CPU time: 14.541709 seconds
% 0.70/2.33 % Total memory used: 315.856 MB
% 0.70/2.33 % Net memory used: 305.465 MB
%------------------------------------------------------------------------------