TSTP Solution File: SWW236+1 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW236+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 : Mon Jun 24 18:11:21 EDT 2024
% Result : Theorem 14.72s 2.56s
% Output : CNFRefutation 14.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 28 unt; 0 def)
% Number of atoms : 124 ( 14 equ)
% Maximal formula atoms : 62 ( 3 avg)
% Number of connectives : 140 ( 54 ~; 56 |; 16 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 43 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
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____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),
file('/export/starexec/sandbox/tmp/tmp.YGtGxEblqT/E---3.1_15973.p',conj_0) ).
fof(fact_real__norm__def,axiom,
! [X20] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X20) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X20),
file('/export/starexec/sandbox/tmp/tmp.YGtGxEblqT/E---3.1_15973.p',fact_real__norm__def) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [X7,X8,X6] :
( class_Rings_Ocomm__semiring__1(X6)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X8) ),
file('/export/starexec/sandbox/tmp/tmp.YGtGxEblqT/E---3.1_15973.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(fact_divide__le__eq,axiom,
! [X16,X17,X15,X6] :
( class_Fields_Olinordered__field__inverse__zero(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,c_Rings_Oinverse__class_Odivide(X6,X15,X17),X16)
<=> ( ( c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X17)
=> c_Orderings_Oord__class_Oless__eq(X6,X15,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X16),X17)) )
& ( ~ c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X17)
=> ( ( c_Orderings_Oord__class_Oless(X6,X17,c_Groups_Ozero__class_Ozero(X6))
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X16),X17),X15) )
& ( ~ c_Orderings_Oord__class_Oless(X6,X17,c_Groups_Ozero__class_Ozero(X6))
=> c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6),X16) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YGtGxEblqT/E---3.1_15973.p',fact_divide__le__eq) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.YGtGxEblqT/E---3.1_15973.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(fact_norm__mult,axiom,
! [X4,X5,X6] :
( class_RealVector_Oreal__normed__div__algebra(X6)
=> c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X5)),c_RealVector_Onorm__class_Onorm(X6,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.YGtGxEblqT/E---3.1_15973.p',fact_norm__mult) ).
fof(fact_h,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox/tmp/tmp.YGtGxEblqT/E---3.1_15973.p',fact_h) ).
fof(fact_real__mult__commute,axiom,
! [X11,X9] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X9),X11) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X11),X9),
file('/export/starexec/sandbox/tmp/tmp.YGtGxEblqT/E---3.1_15973.p',fact_real__mult__commute) ).
fof(fact__0960_A_060_Acmod_Ac_096,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),
file('/export/starexec/sandbox/tmp/tmp.YGtGxEblqT/E---3.1_15973.p',fact__0960_A_060_Acmod_Ac_096) ).
fof(fact_real__of__nat__zero,axiom,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.YGtGxEblqT/E---3.1_15973.p',fact_real__of__nat__zero) ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.YGtGxEblqT/E---3.1_15973.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.YGtGxEblqT/E---3.1_15973.p',arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero) ).
fof(c_0_12,negated_conjecture,
~ 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____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_13,negated_conjecture,
~ 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____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),
inference(fof_nnf,[status(thm)],[c_0_12]) ).
fof(c_0_14,plain,
! [X211] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X211) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X211),
inference(variable_rename,[status(thm)],[fact_real__norm__def]) ).
cnf(c_0_15,negated_conjecture,
~ 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____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_17,plain,
! [X1096,X1097,X1098] :
( ~ class_Rings_Ocomm__semiring__1(X1098)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1098),X1097),X1096) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1098),X1096),X1097) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J])])]) ).
fof(c_0_18,plain,
! [X16,X17,X15,X6] :
( class_Fields_Olinordered__field__inverse__zero(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,c_Rings_Oinverse__class_Odivide(X6,X15,X17),X16)
<=> ( ( c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X17)
=> c_Orderings_Oord__class_Oless__eq(X6,X15,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X16),X17)) )
& ( ~ c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X17)
=> ( ( c_Orderings_Oord__class_Oless(X6,X17,c_Groups_Ozero__class_Ozero(X6))
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X16),X17),X15) )
& ( ~ c_Orderings_Oord__class_Oless(X6,X17,c_Groups_Ozero__class_Ozero(X6))
=> c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6),X16) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_divide__le__eq]) ).
cnf(c_0_19,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
fof(c_0_22,plain,
! [X125,X126,X127] :
( ~ class_RealVector_Oreal__normed__div__algebra(X127)
| c_RealVector_Onorm__class_Onorm(X127,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X127),X126),X125)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X127,X126)),c_RealVector_Onorm__class_Onorm(X127,X125)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__mult])])]) ).
fof(c_0_23,plain,
! [X1155,X1156,X1157,X1158] :
( ( ~ c_Orderings_Oord__class_Oless(X1158,c_Groups_Ozero__class_Ozero(X1158),X1156)
| c_Orderings_Oord__class_Oless__eq(X1158,X1157,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1158),X1155),X1156))
| ~ c_Orderings_Oord__class_Oless__eq(X1158,c_Rings_Oinverse__class_Odivide(X1158,X1157,X1156),X1155)
| ~ class_Fields_Olinordered__field__inverse__zero(X1158) )
& ( ~ c_Orderings_Oord__class_Oless(X1158,X1156,c_Groups_Ozero__class_Ozero(X1158))
| c_Orderings_Oord__class_Oless__eq(X1158,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1158),X1155),X1156),X1157)
| c_Orderings_Oord__class_Oless(X1158,c_Groups_Ozero__class_Ozero(X1158),X1156)
| ~ c_Orderings_Oord__class_Oless__eq(X1158,c_Rings_Oinverse__class_Odivide(X1158,X1157,X1156),X1155)
| ~ class_Fields_Olinordered__field__inverse__zero(X1158) )
& ( c_Orderings_Oord__class_Oless(X1158,X1156,c_Groups_Ozero__class_Ozero(X1158))
| c_Orderings_Oord__class_Oless__eq(X1158,c_Groups_Ozero__class_Ozero(X1158),X1155)
| c_Orderings_Oord__class_Oless(X1158,c_Groups_Ozero__class_Ozero(X1158),X1156)
| ~ c_Orderings_Oord__class_Oless__eq(X1158,c_Rings_Oinverse__class_Odivide(X1158,X1157,X1156),X1155)
| ~ class_Fields_Olinordered__field__inverse__zero(X1158) )
& ( ~ c_Orderings_Oord__class_Oless(X1158,c_Groups_Ozero__class_Ozero(X1158),X1156)
| c_Orderings_Oord__class_Oless(X1158,c_Groups_Ozero__class_Ozero(X1158),X1156)
| c_Orderings_Oord__class_Oless__eq(X1158,c_Rings_Oinverse__class_Odivide(X1158,X1157,X1156),X1155)
| ~ class_Fields_Olinordered__field__inverse__zero(X1158) )
& ( ~ c_Orderings_Oord__class_Oless(X1158,X1156,c_Groups_Ozero__class_Ozero(X1158))
| c_Orderings_Oord__class_Oless(X1158,X1156,c_Groups_Ozero__class_Ozero(X1158))
| c_Orderings_Oord__class_Oless(X1158,c_Groups_Ozero__class_Ozero(X1158),X1156)
| c_Orderings_Oord__class_Oless__eq(X1158,c_Rings_Oinverse__class_Odivide(X1158,X1157,X1156),X1155)
| ~ class_Fields_Olinordered__field__inverse__zero(X1158) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X1158,c_Groups_Ozero__class_Ozero(X1158),X1155)
| c_Orderings_Oord__class_Oless(X1158,X1156,c_Groups_Ozero__class_Ozero(X1158))
| c_Orderings_Oord__class_Oless(X1158,c_Groups_Ozero__class_Ozero(X1158),X1156)
| c_Orderings_Oord__class_Oless__eq(X1158,c_Rings_Oinverse__class_Odivide(X1158,X1157,X1156),X1155)
| ~ class_Fields_Olinordered__field__inverse__zero(X1158) )
& ( ~ c_Orderings_Oord__class_Oless(X1158,X1156,c_Groups_Ozero__class_Ozero(X1158))
| ~ c_Orderings_Oord__class_Oless__eq(X1158,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1158),X1155),X1156),X1157)
| c_Orderings_Oord__class_Oless(X1158,c_Groups_Ozero__class_Ozero(X1158),X1156)
| c_Orderings_Oord__class_Oless__eq(X1158,c_Rings_Oinverse__class_Odivide(X1158,X1157,X1156),X1155)
| ~ class_Fields_Olinordered__field__inverse__zero(X1158) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X1158,c_Groups_Ozero__class_Ozero(X1158),X1155)
| ~ c_Orderings_Oord__class_Oless__eq(X1158,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1158),X1155),X1156),X1157)
| c_Orderings_Oord__class_Oless(X1158,c_Groups_Ozero__class_Ozero(X1158),X1156)
| c_Orderings_Oord__class_Oless__eq(X1158,c_Rings_Oinverse__class_Odivide(X1158,X1157,X1156),X1155)
| ~ class_Fields_Olinordered__field__inverse__zero(X1158) )
& ( ~ c_Orderings_Oord__class_Oless(X1158,c_Groups_Ozero__class_Ozero(X1158),X1156)
| ~ c_Orderings_Oord__class_Oless__eq(X1158,X1157,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1158),X1155),X1156))
| c_Orderings_Oord__class_Oless__eq(X1158,c_Rings_Oinverse__class_Odivide(X1158,X1157,X1156),X1155)
| ~ class_Fields_Olinordered__field__inverse__zero(X1158) )
& ( ~ c_Orderings_Oord__class_Oless(X1158,X1156,c_Groups_Ozero__class_Ozero(X1158))
| c_Orderings_Oord__class_Oless(X1158,X1156,c_Groups_Ozero__class_Ozero(X1158))
| ~ c_Orderings_Oord__class_Oless__eq(X1158,X1157,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1158),X1155),X1156))
| c_Orderings_Oord__class_Oless__eq(X1158,c_Rings_Oinverse__class_Odivide(X1158,X1157,X1156),X1155)
| ~ class_Fields_Olinordered__field__inverse__zero(X1158) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X1158,c_Groups_Ozero__class_Ozero(X1158),X1155)
| c_Orderings_Oord__class_Oless(X1158,X1156,c_Groups_Ozero__class_Ozero(X1158))
| ~ c_Orderings_Oord__class_Oless__eq(X1158,X1157,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1158),X1155),X1156))
| c_Orderings_Oord__class_Oless__eq(X1158,c_Rings_Oinverse__class_Odivide(X1158,X1157,X1156),X1155)
| ~ class_Fields_Olinordered__field__inverse__zero(X1158) )
& ( ~ c_Orderings_Oord__class_Oless(X1158,X1156,c_Groups_Ozero__class_Ozero(X1158))
| ~ c_Orderings_Oord__class_Oless__eq(X1158,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1158),X1155),X1156),X1157)
| ~ c_Orderings_Oord__class_Oless__eq(X1158,X1157,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1158),X1155),X1156))
| c_Orderings_Oord__class_Oless__eq(X1158,c_Rings_Oinverse__class_Odivide(X1158,X1157,X1156),X1155)
| ~ class_Fields_Olinordered__field__inverse__zero(X1158) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X1158,c_Groups_Ozero__class_Ozero(X1158),X1155)
| ~ c_Orderings_Oord__class_Oless__eq(X1158,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1158),X1155),X1156),X1157)
| ~ c_Orderings_Oord__class_Oless__eq(X1158,X1157,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1158),X1155),X1156))
| c_Orderings_Oord__class_Oless__eq(X1158,c_Rings_Oinverse__class_Odivide(X1158,X1157,X1156),X1155)
| ~ class_Fields_Olinordered__field__inverse__zero(X1158) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
cnf(c_0_24,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(split_conjunct,[status(thm)],[fact_h]) ).
fof(c_0_25,plain,
! [X142,X143] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X143),X142) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X142),X143),
inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).
cnf(c_0_26,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),
inference(split_conjunct,[status(thm)],[fact__0960_A_060_Acmod_Ac_096]) ).
cnf(c_0_27,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_real__of__nat__zero]) ).
cnf(c_0_28,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_c____),v_z____))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_29,plain,
( c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),c_RealVector_Onorm__class_Onorm(X1,X3))
| ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra]) ).
cnf(c_0_31,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X4)
| ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(rw,[status(thm)],[c_0_24,c_0_16]) ).
cnf(c_0_33,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_25]) ).
cnf(c_0_34,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,plain,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero]) ).
cnf(c_0_36,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_37,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_27]),c_0_34]),c_0_35])]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW236+1 : TPTP v8.2.0. Released v5.2.0.
% 0.00/0.13 % Command : run_E %s %d THM
% 0.11/0.34 % Computer : n029.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Wed Jun 19 07:42:09 EDT 2024
% 0.11/0.35 % CPUTime :
% 0.47/0.63 Running first-order theorem proving
% 0.47/0.63 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.YGtGxEblqT/E---3.1_15973.p
% 14.72/2.56 # Version: 3.2.0
% 14.72/2.56 # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.72/2.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.72/2.56 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.72/2.56 # Starting new_bool_3 with 300s (1) cores
% 14.72/2.56 # Starting new_bool_1 with 300s (1) cores
% 14.72/2.56 # Starting sh5l with 300s (1) cores
% 14.72/2.56 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 16052 completed with status 0
% 14.72/2.56 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 14.72/2.56 # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.72/2.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.72/2.56 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.72/2.56 # No SInE strategy applied
% 14.72/2.56 # Search class: FGHSM-SMLM32-DFFFFFNN
% 14.72/2.56 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 14.72/2.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 14.72/2.56 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.72/2.56 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 14.72/2.56 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 14.72/2.56 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 14.72/2.56 # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 16062 completed with status 0
% 14.72/2.56 # Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 14.72/2.56 # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.72/2.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.72/2.56 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.72/2.56 # No SInE strategy applied
% 14.72/2.56 # Search class: FGHSM-SMLM32-DFFFFFNN
% 14.72/2.56 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 14.72/2.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 14.72/2.56 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.72/2.56 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 14.72/2.56 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 14.72/2.56 # Preprocessing time : 0.021 s
% 14.72/2.56 # Presaturation interreduction done
% 14.72/2.56
% 14.72/2.56 # Proof found!
% 14.72/2.56 # SZS status Theorem
% 14.72/2.56 # SZS output start CNFRefutation
% See solution above
% 14.72/2.56 # Parsed axioms : 1266
% 14.72/2.56 # Removed by relevancy pruning/SinE : 0
% 14.72/2.56 # Initial clauses : 1785
% 14.72/2.56 # Removed in clause preprocessing : 59
% 14.72/2.56 # Initial clauses in saturation : 1726
% 14.72/2.56 # Processed clauses : 10368
% 14.72/2.56 # ...of these trivial : 214
% 14.72/2.56 # ...subsumed : 5959
% 14.72/2.56 # ...remaining for further processing : 4195
% 14.72/2.56 # Other redundant clauses eliminated : 721
% 14.72/2.56 # Clauses deleted for lack of memory : 0
% 14.72/2.56 # Backward-subsumed : 43
% 14.72/2.56 # Backward-rewritten : 117
% 14.72/2.56 # Generated clauses : 94096
% 14.72/2.56 # ...of the previous two non-redundant : 84271
% 14.72/2.56 # ...aggressively subsumed : 0
% 14.72/2.56 # Contextual simplify-reflections : 4
% 14.72/2.56 # Paramodulations : 93367
% 14.72/2.56 # Factorizations : 10
% 14.72/2.56 # NegExts : 0
% 14.72/2.56 # Equation resolutions : 740
% 14.72/2.56 # Disequality decompositions : 0
% 14.72/2.56 # Total rewrite steps : 76487
% 14.72/2.56 # ...of those cached : 73531
% 14.72/2.56 # Propositional unsat checks : 0
% 14.72/2.56 # Propositional check models : 0
% 14.72/2.56 # Propositional check unsatisfiable : 0
% 14.72/2.56 # Propositional clauses : 0
% 14.72/2.56 # Propositional clauses after purity: 0
% 14.72/2.56 # Propositional unsat core size : 0
% 14.72/2.56 # Propositional preprocessing time : 0.000
% 14.72/2.56 # Propositional encoding time : 0.000
% 14.72/2.56 # Propositional solver time : 0.000
% 14.72/2.56 # Success case prop preproc time : 0.000
% 14.72/2.56 # Success case prop encoding time : 0.000
% 14.72/2.56 # Success case prop solver time : 0.000
% 14.72/2.56 # Current number of processed clauses : 2454
% 14.72/2.56 # Positive orientable unit clauses : 583
% 14.72/2.56 # Positive unorientable unit clauses: 22
% 14.72/2.56 # Negative unit clauses : 311
% 14.72/2.56 # Non-unit-clauses : 1538
% 14.72/2.56 # Current number of unprocessed clauses: 76869
% 14.72/2.56 # ...number of literals in the above : 186410
% 14.72/2.56 # Current number of archived formulas : 0
% 14.72/2.56 # Current number of archived clauses : 1599
% 14.72/2.56 # Clause-clause subsumption calls (NU) : 509243
% 14.72/2.56 # Rec. Clause-clause subsumption calls : 371991
% 14.72/2.56 # Non-unit clause-clause subsumptions : 2769
% 14.72/2.56 # Unit Clause-clause subsumption calls : 67313
% 14.72/2.56 # Rewrite failures with RHS unbound : 0
% 14.72/2.56 # BW rewrite match attempts : 22418
% 14.72/2.56 # BW rewrite match successes : 303
% 14.72/2.56 # Condensation attempts : 0
% 14.72/2.56 # Condensation successes : 0
% 14.72/2.56 # Termbank termtop insertions : 1936705
% 14.72/2.56 # Search garbage collected termcells : 21900
% 14.72/2.56
% 14.72/2.56 # -------------------------------------------------
% 14.72/2.56 # User time : 1.760 s
% 14.72/2.56 # System time : 0.071 s
% 14.72/2.56 # Total time : 1.831 s
% 14.72/2.56 # Maximum resident set size: 8552 pages
% 14.72/2.56
% 14.72/2.56 # -------------------------------------------------
% 14.72/2.56 # User time : 8.457 s
% 14.72/2.56 # System time : 0.360 s
% 14.72/2.56 # Total time : 8.817 s
% 14.72/2.56 # Maximum resident set size: 3156 pages
% 14.72/2.56 % E---3.1 exiting
% 14.72/2.56 % E exiting
%------------------------------------------------------------------------------