TSTP Solution File: SWW238+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW238+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:10:50 EDT 2023
% Result : Theorem 8.25s 1.73s
% Output : CNFRefutation 8.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 21 unt; 0 def)
% Number of atoms : 88 ( 14 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 71 ( 29 ~; 29 |; 2 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 75 ( 0 sgn; 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X26,X11,X8] :
( class_Rings_Ocomm__semiring__1(X8)
=> c_Groups_Oplus__class_Oplus(X8,X11,X26) = c_Groups_Oplus__class_Oplus(X8,X26,X11) ),
file('/export/starexec/sandbox/tmp/tmp.37cwRlnJ1y/E---3.1_1111.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(fact_leI,axiom,
! [X6,X7,X8] :
( class_Orderings_Olinorder(X8)
=> ( ~ c_Orderings_Oord__class_Oless(X8,X7,X6)
=> c_Orderings_Oord__class_Oless__eq(X8,X6,X7) ) ),
file('/export/starexec/sandbox/tmp/tmp.37cwRlnJ1y/E---3.1_1111.p',fact_leI) ).
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),
file('/export/starexec/sandbox/tmp/tmp.37cwRlnJ1y/E---3.1_1111.p',conj_0) ).
fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.37cwRlnJ1y/E---3.1_1111.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
fof(fact_real__le__trans,axiom,
! [X33,X34,X35] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X35,X34)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X34,X33)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X35,X33) ) ),
file('/export/starexec/sandbox/tmp/tmp.37cwRlnJ1y/E---3.1_1111.p',fact_real__le__trans) ).
fof(fact_less__eq__real__def,axiom,
! [X28,X21] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X21,X28)
<=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X21,X28)
| X21 = X28 ) ),
file('/export/starexec/sandbox/tmp/tmp.37cwRlnJ1y/E---3.1_1111.p',fact_less__eq__real__def) ).
fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.37cwRlnJ1y/E---3.1_1111.p',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(fact_real__le__antisym,axiom,
! [X5,X4] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,X5)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X4)
=> X4 = X5 ) ),
file('/export/starexec/sandbox/tmp/tmp.37cwRlnJ1y/E---3.1_1111.p',fact_real__le__antisym) ).
fof(fact_complex__mod__triangle__sub,axiom,
! [X4,X5] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X5,X4)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X4))),
file('/export/starexec/sandbox/tmp/tmp.37cwRlnJ1y/E---3.1_1111.p',fact_complex__mod__triangle__sub) ).
fof(fact_real__add__left__mono,axiom,
! [X4,X6,X7] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7,X6)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4,X7),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4,X6)) ),
file('/export/starexec/sandbox/tmp/tmp.37cwRlnJ1y/E---3.1_1111.p',fact_real__add__left__mono) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.37cwRlnJ1y/E---3.1_1111.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(fact_real__le__refl,axiom,
! [X5] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X5),
file('/export/starexec/sandbox/tmp/tmp.37cwRlnJ1y/E---3.1_1111.p',fact_real__le__refl) ).
fof(c_0_12,plain,
! [X292,X293,X294] :
( ~ class_Rings_Ocomm__semiring__1(X294)
| c_Groups_Oplus__class_Oplus(X294,X293,X292) = c_Groups_Oplus__class_Oplus(X294,X292,X293) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])]) ).
fof(c_0_13,plain,
! [X6,X7,X8] :
( class_Orderings_Olinorder(X8)
=> ( ~ c_Orderings_Oord__class_Oless(X8,X7,X6)
=> c_Orderings_Oord__class_Oless__eq(X8,X6,X7) ) ),
inference(fof_simplification,[status(thm)],[fact_leI]) ).
fof(c_0_14,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_15,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X3,X2)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).
fof(c_0_17,plain,
! [X750,X751,X752] :
( ~ class_Orderings_Olinorder(X752)
| c_Orderings_Oord__class_Oless(X752,X751,X750)
| c_Orderings_Oord__class_Oless__eq(X752,X750,X751) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
fof(c_0_18,plain,
! [X297,X298,X299] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X299,X298)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X298,X297)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X299,X297) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])]) ).
fof(c_0_19,plain,
! [X800,X801] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X801,X800)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X801,X800)
| X801 = X800 )
& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X801,X800)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X801,X800) )
& ( X801 != X800
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X801,X800) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__real__def])])]) ).
cnf(c_0_20,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
fof(c_0_24,plain,
! [X295,X296] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X296,X295)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X295,X296)
| X296 = X295 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__antisym])]) ).
fof(c_0_25,plain,
! [X99,X100] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X100),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X100,X99)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X99))),
inference(variable_rename,[status(thm)],[fact_complex__mod__triangle__sub]) ).
cnf(c_0_26,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))))),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,plain,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2))),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_34,plain,
! [X109,X110,X111] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X111,X110)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X109,X111),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X109,X110)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__add__left__mono])]) ).
cnf(c_0_35,plain,
( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))))) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X2))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
fof(c_0_39,plain,
! [X302] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X302,X302),
inference(variable_rename,[status(thm)],[fact_real__le__refl]) ).
cnf(c_0_40,plain,
( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,X1))) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,X1))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_21]),c_0_21]) ).
cnf(c_0_41,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_Complex_Ocomplex,v_aa____),X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)))) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,X1),
inference(spm,[status(thm)],[c_0_15,c_0_38]) ).
cnf(c_0_43,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,negated_conjecture,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)))) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_42]),c_0_43])]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_44]),c_0_43])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW238+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 21:38:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.41/0.60 Running first-order model finding
% 0.41/0.60 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.37cwRlnJ1y/E---3.1_1111.p
% 8.25/1.73 # Version: 3.1pre001
% 8.25/1.73 # Preprocessing class: FMLMSMSMSSSNFFN.
% 8.25/1.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.25/1.73 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.25/1.73 # Starting new_bool_3 with 300s (1) cores
% 8.25/1.73 # Starting new_bool_1 with 300s (1) cores
% 8.25/1.73 # Starting sh5l with 300s (1) cores
% 8.25/1.73 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1192 completed with status 0
% 8.25/1.73 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 8.25/1.73 # Preprocessing class: FMLMSMSMSSSNFFN.
% 8.25/1.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.25/1.73 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.25/1.73 # No SInE strategy applied
% 8.25/1.73 # Search class: FGHSM-SMLM32-DFFFFFNN
% 8.25/1.73 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 8.25/1.73 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 8.25/1.73 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 8.25/1.73 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 8.25/1.73 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 8.25/1.73 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 8.25/1.73 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 1199 completed with status 0
% 8.25/1.73 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 8.25/1.73 # Preprocessing class: FMLMSMSMSSSNFFN.
% 8.25/1.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.25/1.73 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.25/1.73 # No SInE strategy applied
% 8.25/1.73 # Search class: FGHSM-SMLM32-DFFFFFNN
% 8.25/1.73 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 8.25/1.73 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 8.25/1.73 # Preprocessing time : 0.021 s
% 8.25/1.73 # Presaturation interreduction done
% 8.25/1.73
% 8.25/1.73 # Proof found!
% 8.25/1.73 # SZS status Theorem
% 8.25/1.73 # SZS output start CNFRefutation
% See solution above
% 8.25/1.73 # Parsed axioms : 1272
% 8.25/1.73 # Removed by relevancy pruning/SinE : 0
% 8.25/1.73 # Initial clauses : 1830
% 8.25/1.73 # Removed in clause preprocessing : 80
% 8.25/1.73 # Initial clauses in saturation : 1750
% 8.25/1.73 # Processed clauses : 6044
% 8.25/1.73 # ...of these trivial : 178
% 8.25/1.73 # ...subsumed : 1988
% 8.25/1.73 # ...remaining for further processing : 3878
% 8.25/1.73 # Other redundant clauses eliminated : 455
% 8.25/1.73 # Clauses deleted for lack of memory : 0
% 8.25/1.73 # Backward-subsumed : 36
% 8.25/1.73 # Backward-rewritten : 52
% 8.25/1.73 # Generated clauses : 53783
% 8.25/1.73 # ...of the previous two non-redundant : 48298
% 8.25/1.73 # ...aggressively subsumed : 0
% 8.25/1.73 # Contextual simplify-reflections : 1
% 8.25/1.73 # Paramodulations : 53319
% 8.25/1.73 # Factorizations : 10
% 8.25/1.73 # NegExts : 0
% 8.25/1.73 # Equation resolutions : 470
% 8.25/1.73 # Total rewrite steps : 40803
% 8.25/1.73 # Propositional unsat checks : 0
% 8.25/1.73 # Propositional check models : 0
% 8.25/1.73 # Propositional check unsatisfiable : 0
% 8.25/1.73 # Propositional clauses : 0
% 8.25/1.73 # Propositional clauses after purity: 0
% 8.25/1.73 # Propositional unsat core size : 0
% 8.25/1.73 # Propositional preprocessing time : 0.000
% 8.25/1.73 # Propositional encoding time : 0.000
% 8.25/1.73 # Propositional solver time : 0.000
% 8.25/1.73 # Success case prop preproc time : 0.000
% 8.25/1.73 # Success case prop encoding time : 0.000
% 8.25/1.73 # Success case prop solver time : 0.000
% 8.25/1.73 # Current number of processed clauses : 2140
% 8.25/1.73 # Positive orientable unit clauses : 490
% 8.25/1.73 # Positive unorientable unit clauses: 12
% 8.25/1.73 # Negative unit clauses : 134
% 8.25/1.73 # Non-unit-clauses : 1504
% 8.25/1.73 # Current number of unprocessed clauses: 45476
% 8.25/1.73 # ...number of literals in the above : 142747
% 8.25/1.73 # Current number of archived formulas : 0
% 8.25/1.73 # Current number of archived clauses : 1597
% 8.25/1.73 # Clause-clause subsumption calls (NU) : 601904
% 8.25/1.73 # Rec. Clause-clause subsumption calls : 219569
% 8.25/1.73 # Non-unit clause-clause subsumptions : 821
% 8.25/1.73 # Unit Clause-clause subsumption calls : 13527
% 8.25/1.73 # Rewrite failures with RHS unbound : 0
% 8.25/1.73 # BW rewrite match attempts : 3504
% 8.25/1.73 # BW rewrite match successes : 246
% 8.25/1.73 # Condensation attempts : 0
% 8.25/1.73 # Condensation successes : 0
% 8.25/1.73 # Termbank termtop insertions : 1337591
% 8.25/1.73
% 8.25/1.73 # -------------------------------------------------
% 8.25/1.73 # User time : 1.003 s
% 8.25/1.73 # System time : 0.042 s
% 8.25/1.73 # Total time : 1.045 s
% 8.25/1.73 # Maximum resident set size: 8664 pages
% 8.25/1.73
% 8.25/1.73 # -------------------------------------------------
% 8.25/1.73 # User time : 4.802 s
% 8.25/1.73 # System time : 0.154 s
% 8.25/1.73 # Total time : 4.956 s
% 8.25/1.73 # Maximum resident set size: 3184 pages
% 8.25/1.73 % E---3.1 exiting
%------------------------------------------------------------------------------