%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW217+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 03:10:06 PM UTC 2026
% Result : Theorem 4.03s 6.20s
% Output : CNFRefutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 44 ( 22 unt; 0 def)
% Number of atoms : 97 ( 15 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 90 ( 37 ~; 34 |; 8 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 55 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_real__less__def,axiom,
! [X25,X20] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X20,X25)
<=> ( X20 != X25
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X20,X25) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(fact_real__le__linear,axiom,
! [X38,X23] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X38,X23)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X23,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__linear) ).
fof(fact_real__mult__commute,axiom,
! [X38,X23] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),X38) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X38),X23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__commute) ).
fof(fact_dme,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dme) ).
fof(fact_xt1_I5_J,axiom,
! [X9,X7,X10] :
( class_Orderings_Oorder(X10)
=> ( c_Orderings_Oord__class_Oless__eq(X10,X7,X9)
=> ( c_Orderings_Oord__class_Oless__eq(X10,X9,X7)
=> X9 = X7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I5_J) ).
fof(fact_real__le__trans,axiom,
! [X39,X40,X41] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X41,X40)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X40,X39)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X41,X39) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__trans) ).
fof(fact_less__le__not__le,axiom,
! [X25,X20,X10] :
( class_Orderings_Opreorder(X10)
=> ( c_Orderings_Oord__class_Oless(X10,X20,X25)
<=> ( ~ c_Orderings_Oord__class_Oless__eq(X10,X25,X20)
& c_Orderings_Oord__class_Oless__eq(X10,X20,X25) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__le__not__le) ).
fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
fof(fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096) ).
fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(c_0_11,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_12,plain,
! [X25,X20] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X20,X25)
<=> ( X20 != X25
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X20,X25) ) ),
inference(fof_simplification,[status(thm)],[fact_real__less__def]) ).
fof(c_0_13,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X432,X433] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X433,X432)
| X433 = X432
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X433,X432) )
& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X433,X432)
| X433 != X432 )
& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X433,X432)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X433,X432) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_15,plain,
! [X409,X410] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X409,X410)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X410,X409) ),
inference(variable_rename,[status(thm)],[fact_real__le__linear]) ).
fof(c_0_16,plain,
! [X412,X413] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X413),X412) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X412),X413),
inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).
fof(c_0_17,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(fof_nnf,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
inference(split_conjunct,[status(thm)],[fact_dme]) ).
cnf(c_0_21,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,plain,
! [X1626,X1627,X1628] :
( X1626 = X1627
| ~ c_Orderings_Oord__class_Oless__eq(X1628,X1626,X1627)
| ~ c_Orderings_Oord__class_Oless__eq(X1628,X1627,X1626)
| ~ class_Orderings_Oorder(X1628) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I5_J])])]) ).
cnf(c_0_23,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_25,plain,
! [X406,X407,X408] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X408,X406)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X407,X406)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X408,X407) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])])]) ).
cnf(c_0_26,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),v_e),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_28,plain,
! [X25,X20,X10] :
( class_Orderings_Opreorder(X10)
=> ( c_Orderings_Oord__class_Oless(X10,X20,X25)
<=> ( ~ c_Orderings_Oord__class_Oless__eq(X10,X25,X20)
& c_Orderings_Oord__class_Oless__eq(X10,X20,X25) ) ) ),
inference(fof_simplification,[status(thm)],[fact_less__le__not__le]) ).
cnf(c_0_29,plain,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| X3 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Oorder]) ).
cnf(c_0_32,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),v_e),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
inference(split_conjunct,[status(thm)],[fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096]) ).
fof(c_0_35,plain,
! [X1755,X1756,X1757] :
( ( ~ class_Orderings_Opreorder(X1757)
| c_Orderings_Oord__class_Oless(X1757,X1756,X1755)
| c_Orderings_Oord__class_Oless__eq(X1757,X1755,X1756)
| ~ c_Orderings_Oord__class_Oless__eq(X1757,X1756,X1755) )
& ( ~ class_Orderings_Opreorder(X1757)
| ~ c_Orderings_Oord__class_Oless(X1757,X1756,X1755)
| ~ c_Orderings_Oord__class_Oless__eq(X1757,X1755,X1756) )
& ( ~ class_Orderings_Opreorder(X1757)
| ~ c_Orderings_Oord__class_Oless(X1757,X1756,X1755)
| c_Orderings_Oord__class_Oless__eq(X1757,X1756,X1755) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
cnf(c_0_36,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_37,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,v_e) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
inference(rw,[status(thm)],[c_0_34,c_0_21]) ).
cnf(c_0_39,plain,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
cnf(c_0_41,negated_conjecture,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_42,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_27]),c_0_40])]) ).
cnf(c_0_43,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_41]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW217+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.58 % Computer : n006.cluster.edu
% 0.12/5.58 % Model : x86_64 x86_64
% 0.12/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.58 % Memory : 8046.5625MB
% 0.12/5.58 % OS : Linux 6.8.0-71-generic
% 0.12/5.58 % CPULimit : 300
% 0.12/5.58 % WCLimit : 300
% 0.12/5.58 % DateTime : Mon Sep 21 09:42:09 UTC 2026
% 0.12/5.58 % CPUTime :
% 0.12/5.58 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.63 Running first-order theorem proving
% 0.15/5.63 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.03/6.20 % Version: 3.5.1
% 4.03/6.20 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.03/6.20 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.03/6.20 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.03/6.20 % Starting new_bool_3 with 300s (1) cores
% 4.03/6.20 % Starting new_bool_1 with 300s (1) cores
% 4.03/6.20 % Starting sh5l with 300s (1) cores
% 4.03/6.20 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2542751 completed with status 0
% 4.03/6.20 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.03/6.20 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.03/6.20 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.03/6.20 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.03/6.20 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.03/6.20 % No SInE strategy applied
% 4.03/6.20 % Search class: FGHSM-SMLM32-DFFFFFNN
% 4.03/6.20 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 4.03/6.20 % Starting SubtermCWHack with 136s (1) cores
% 4.03/6.20 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.03/6.20 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 4.03/6.20 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 4.03/6.20 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 4.03/6.20 % G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2542762 completed with status 0
% 4.03/6.20 % Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 4.03/6.20 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.03/6.20 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.03/6.20 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.03/6.20 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.03/6.20 % No SInE strategy applied
% 4.03/6.20 % Search class: FGHSM-SMLM32-DFFFFFNN
% 4.03/6.20 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 4.03/6.20 % Starting SubtermCWHack with 136s (1) cores
% 4.03/6.20 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.03/6.20 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 4.03/6.20 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 4.03/6.20 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 4.03/6.20 % Preprocessing time : 0.027 s
% 4.03/6.20 % Presaturation interreduction done
% 4.03/6.20
% 4.03/6.20 % Proof found!
% 4.03/6.20 % SZS status Theorem
% 4.03/6.20 % SZS output start CNFRefutation
% See solution above
% 4.03/6.20 % Parsed axioms : 1260
% 4.03/6.20 % Removed by relevancy pruning/SinE : 0
% 4.03/6.20 % Initial clauses : 1778
% 4.03/6.20 % Removed in clause preprocessing : 59
% 4.03/6.20 % Initial clauses in saturation : 1719
% 4.03/6.20 % Processed clauses : 4149
% 4.03/6.20 % ...of these trivial : 104
% 4.03/6.20 % ...subsumed : 1307
% 4.03/6.20 % ...remaining for further processing : 2738
% 4.03/6.20 % Other redundant clauses eliminated : 186
% 4.03/6.20 % Clauses deleted for lack of memory : 0
% 4.03/6.20 % Backward-subsumed : 17
% 4.03/6.20 % Backward-rewritten : 45
% 4.03/6.20 % Generated clauses : 6423
% 4.03/6.20 % ...of the previous two non-redundant : 5059
% 4.03/6.20 % ...aggressively subsumed : 0
% 4.03/6.20 % Contextual simplify-reflections : 2
% 4.03/6.20 % Paramodulations : 6247
% 4.03/6.20 % Factorizations : 6
% 4.03/6.20 % NegExts : 0
% 4.03/6.20 % Equation resolutions : 198
% 4.03/6.20 % Disequality decompositions : 0
% 4.03/6.20 % Total rewrite steps : 6149
% 4.03/6.20 % ...of those cached : 5441
% 4.03/6.20 % Propositional unsat checks : 0
% 4.03/6.20 % Propositional check models : 0
% 4.03/6.20 % Propositional check unsatisfiable : 0
% 4.03/6.20 % Propositional clauses : 0
% 4.03/6.20 % Propositional clauses after purity: 0
% 4.03/6.20 % Propositional unsat core size : 0
% 4.03/6.20 % Propositional preprocessing time : 0.000
% 4.03/6.20 % Propositional encoding time : 0.000
% 4.03/6.20 % Propositional solver time : 0.000
% 4.03/6.20 % Success case prop preproc time : 0.000
% 4.03/6.20 % Success case prop encoding time : 0.000
% 4.03/6.20 % Success case prop solver time : 0.000
% 4.03/6.20 % Current number of processed clauses : 1106
% 4.03/6.20 % Positive orientable unit clauses : 487
% 4.03/6.20 % Positive unorientable unit clauses: 15
% 4.03/6.20 % Negative unit clauses : 176
% 4.03/6.20 % Non-unit-clauses : 428
% 4.03/6.20 % Current number of unprocessed clauses: 3994
% 4.03/6.20 % ...number of literals in the above : 8090
% 4.03/6.20 % Current number of archived formulas : 0
% 4.03/6.20 % Current number of archived clauses : 1490
% 4.03/6.20 % Clause-clause subsumption calls (NU) : 153508
% 4.03/6.20 % Rec. Clause-clause subsumption calls : 79251
% 4.03/6.20 % Non-unit clause-clause subsumptions : 483
% 4.03/6.20 % Unit Clause-clause subsumption calls : 3506
% 4.03/6.20 % Rewrite failures with RHS unbound : 0
% 4.03/6.20 % BW rewrite match attempts : 2120
% 4.03/6.20 % BW rewrite match successes : 276
% 4.03/6.20 % Condensation attempts : 0
% 4.03/6.20 % Condensation successes : 0
% 4.03/6.20 % Termbank termtop insertions : 275166
% 4.03/6.20 % Search garbage collected termcells : 21351
% 4.03/6.20
% 4.03/6.20 % -------------------------------------------------
% 4.03/6.20 % User time : 0.491 s
% 4.03/6.20 % System time : 0.033 s
% 4.03/6.20 % Total time : 0.524 s
% 4.03/6.20 % Maximum resident set size: 10192 pages
% 4.03/6.20
% 4.03/6.20 % -------------------------------------------------
% 4.03/6.20 % User time : 2.096 s
% 4.03/6.20 % System time : 0.152 s
% 4.03/6.20 % Total time : 2.247 s
% 4.03/6.20 % Maximum resident set size: 5888 pages
% 4.03/6.20 % E exiting
%------------------------------------------------------------------------------