%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW208+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 : Fri Jul 25 05:04:01 PM UTC 2025
% Result : Theorem 28.55s 4.01s
% Output : CNFRefutation 28.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 29 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 28 ~; 25 |; 2 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 48 ( 1 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
& ! [B_n] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,B_n)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(conj_0_negated,plain,
~ ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
& ! [B_n] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,B_n)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(1661,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK89)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
inference(cnf,[status(esa)],[conj_0_negated]) ).
cnf(l0,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK89)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
inference(instantiation,[status(thm)],[1661]) ).
fof(fact_add__increasing2,plain,
! [V_a,V_b,V_c,T_a] :
( class_Groups_Oordered__comm__monoid__add(T_a)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(T_a,V_b),V_a))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(T_a,V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__increasing2) ).
cnf(81,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
| ~ class_Groups_Oordered__comm__monoid__add(X0)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))) ),
inference(cnf,[status(esa)],[fact_add__increasing2]) ).
cnf(l1,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK89)))))),v_r))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK89)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
inference(instantiation,[status(thm)],[81]) ).
fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,plain,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) ).
cnf(1515,plain,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add]) ).
cnf(l6,plain,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[1515]) ).
fof(fact_xt1_I7_J,plain,
! [V_z,V_x,V_y,T_a] :
( class_Orderings_Oorder(T_a)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(T_a,V_y),V_x))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(T_a,V_z),V_y))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(T_a,V_z),V_x)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I7_J) ).
cnf(201,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
| ~ class_Orderings_Oorder(X0)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
inference(cnf,[status(esa)],[fact_xt1_I7_J]) ).
cnf(l3,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ class_Orderings_Oorder(tc_RealDef_Oreal)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
inference(instantiation,[status(thm)],[201]) ).
fof(fact_order__trans,plain,
! [V_z,V_y,V_x,T_a] :
( class_Orderings_Opreorder(T_a)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(T_a,V_x),V_y))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(T_a,V_y),V_z))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(T_a,V_x),V_z)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__trans) ).
cnf(142,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1))
| ~ class_Orderings_Opreorder(X0)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
inference(cnf,[status(esa)],[fact_order__trans]) ).
cnf(l2,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0_4)),c_RealDef_Oreal(tc_Nat_Onat,X1_4)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0_4,X1_4)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0_4)),c_RealDef_Oreal(tc_Nat_Onat,X1_4)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0_4,X1_4)))))
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
inference(instantiation,[status(thm)],[142]) ).
fof(arity_RealDef__Oreal__Orderings_Opreorder,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
cnf(1549,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
cnf(l29,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[1549]) ).
fof(arity_RealDef__Oreal__Orderings_Oorder,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
cnf(1557,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Oorder]) ).
cnf(l10,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[1557]) ).
fof(fact_real__of__nat__div3,plain,
! [V_x,V_n] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_RealDef_Oreal(tc_Nat_Onat,V_x)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_x)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__div3) ).
cnf(1386,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(cnf,[status(esa)],[fact_real__of__nat__div3]) ).
cnf(l11,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0_4)),c_RealDef_Oreal(tc_Nat_Onat,X1_4)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0_4,X1_4)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(instantiation,[status(thm)],[1386]) ).
fof(fact_real__of__nat__div2,plain,
! [V_x,V_n] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_RealDef_Oreal(tc_Nat_Onat,V_x)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_x))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__div2) ).
cnf(1385,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1))))),
inference(cnf,[status(esa)],[fact_real__of__nat__div2]) ).
cnf(l4,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0_4)),c_RealDef_Oreal(tc_Nat_Onat,X1_4)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0_4,X1_4))))),
inference(instantiation,[status(thm)],[1385]) ).
cnf(l9,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK89))))),v_r))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK89)))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK89))))))
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK89)))))),v_r)) ),
inference(instantiation,[status(thm)],[142]) ).
fof(fact_abs__Im__le__cmod,plain,
! [V_x] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,V_x))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__Im__le__cmod) ).
cnf(110,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X0))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))),
inference(cnf,[status(esa)],[fact_abs__Im__le__cmod]) ).
cnf(l16,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK89)))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK89)))))),
inference(instantiation,[status(thm)],[110]) ).
cnf(l19,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[1549]) ).
fof(fact_less__add__one,plain,
! [V_a,T_a] :
( class_Rings_Olinordered__semidom(T_a)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(T_a,V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__one) ).
cnf(104,plain,
( ~ class_Rings_Olinordered__semidom(X0)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Oone__class_Oone(X0)))) ),
inference(cnf,[status(esa)],[fact_less__add__one]) ).
cnf(l5,plain,
( ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
inference(instantiation,[status(thm)],[104]) ).
fof(fact_assms,plain,
! [B_n] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,B_n))),v_r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_assms) ).
cnf(5,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),v_r)),
inference(cnf,[status(esa)],[fact_assms]) ).
cnf(l18,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK89))))),v_r)),
inference(instantiation,[status(thm)],[5]) ).
fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
cnf(1530,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Rings_Olinordered__semidom]) ).
cnf(l12,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[1530]) ).
fof(fact_rp,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rp) ).
cnf(1,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(cnf,[status(esa)],[fact_rp]) ).
cnf(l14,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l3,l2,l29,l10,l11,l4,l9,l16,l19,l5,l18,l12,l14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWW208+1 : TPTP v9.0.0. Released v5.2.0.
% 0.09/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n020.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Jul 22 12:58:49 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.37 % launching worker at depth: 9
% 2.24/0.67 % launching worker at depth: 10
% 28.55/4.01 % SZS status Theorem for theBenchmark
% 28.55/4.01 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------