%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG337-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 11:49:13 AM UTC 2026
% Result : Unsatisfiable 37.91s 5.83s
% Output : CNFRefutation 37.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 27 unt; 0 def)
% Number of atoms : 45 ( 31 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f438,axiom,
! [T_a,V_b] :
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b
| ~ class_OrderedGroup_Ogroup__add(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1081,axiom,
! [V_r,V_s] : c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1162,axiom,
! [T_a,V_a,V_b] :
( c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a)
| ~ class_OrderedGroup_Ocomm__monoid__add(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1184,axiom,
! [V_b,V_a] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1225,axiom,
! [T_a,V_a,V_b] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a
| ~ class_OrderedGroup_Ogroup__add(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1258,axiom,
c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1259,axiom,
c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1260,negated_conjecture,
c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) != v_x____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1386,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1403,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2074,plain,
! [T_a] :
( ! [V_b] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b
| ~ class_OrderedGroup_Ogroup__add(T_a) ),
inference(miniscoping,[status(thm)],[f438]) ).
fof(f2075,plain,
! [X0,X1] :
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[status(thm)],[f2074]) ).
fof(f3052,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1081]) ).
fof(f3163,plain,
! [T_a] :
( ! [V_a,V_b] : c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a)
| ~ class_OrderedGroup_Ocomm__monoid__add(T_a) ),
inference(miniscoping,[status(thm)],[f1162]) ).
fof(f3164,plain,
! [X0,X1,X2] :
( c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0)
| ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
inference(cnf_transformation,[status(thm)],[f3163]) ).
fof(f3198,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1184]) ).
fof(f3270,plain,
! [T_a] :
( ! [V_a,V_b] : c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a
| ~ class_OrderedGroup_Ogroup__add(T_a) ),
inference(miniscoping,[status(thm)],[f1225]) ).
fof(f3271,plain,
! [X0,X1,X2] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[status(thm)],[f3270]) ).
fof(f3332,plain,
c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1258]) ).
fof(f3333,plain,
c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1259]) ).
fof(f3334,plain,
c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) != v_x____,
inference(cnf_transformation,[status(thm)],[f1260]) ).
fof(f3460,plain,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1386]) ).
fof(f3477,plain,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1403]) ).
fof(f3526,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) != v_x____,
inference(forward_demodulation,[status(thm)],[f3333,f3334]) ).
fof(f3527,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) != v_x____,
inference(forward_demodulation,[status(thm)],[f3332,f3526]) ).
fof(f10573,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = X0,
inference(resolution,[status(thm)],[f2075,f3477]) ).
fof(f10579,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),
inference(paramodulation,[status(thm)],[f10573,f3052]) ).
fof(f16151,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),
inference(resolution,[status(thm)],[f3164,f3460]) ).
fof(f17165,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0,
inference(resolution,[status(thm)],[f3271,f3477]) ).
fof(f17170,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0,
inference(paramodulation,[status(thm)],[f3052,f17165]) ).
fof(f17171,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(paramodulation,[status(thm)],[f16151,f17165]) ).
fof(f17199,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0,
inference(forward_demodulation,[status(thm)],[f10579,f17170]) ).
fof(f17259,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(paramodulation,[status(thm)],[f17171,f17199]) ).
fof(f17350,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(paramodulation,[status(thm)],[f3198,f17259]) ).
fof(f17368,plain,
v_x____ != v_x____,
inference(backward_demodulation,[status(thm)],[f17350,f3527]) ).
fof(f17375,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f17368]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG337-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n015.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 13:20:06 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.39/0.64 % Drodi V4.1.1
% 37.91/5.83 % Refutation found
% 37.91/5.83 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 37.91/5.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.83/6.37 % Elapsed time: 5.889077 seconds
% 2.83/6.37 % CPU time: 41.972153 seconds
% 2.83/6.37 % Total memory used: 455.766 MB
% 2.83/6.37 % Net memory used: 444.384 MB
%------------------------------------------------------------------------------