TSTP Solution File: ITP062^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP062^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 May 20 22:16:07 EDT 2024
% Result : Theorem 2.47s 0.81s
% Output : CNFRefutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 36
% Syntax : Number of formulae : 91 ( 68 unt; 19 typ; 0 def)
% Number of atoms : 79 ( 44 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 1045 ( 14 ~; 5 |; 0 &;1024 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 105 ( 12 ^ 93 !; 0 ?; 105 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
real: $tType ).
thf(decl_sort3,type,
num: $tType ).
thf(decl_23,type,
genClo1144207539le_rho: real ).
thf(decl_29,type,
abs_abs_real: real > real ).
thf(decl_31,type,
minus_minus_real: real > real > real ).
thf(decl_33,type,
one_one_real: real ).
thf(decl_36,type,
plus_plus_real: real > real > real ).
thf(decl_39,type,
times_times_real: real > real > real ).
thf(decl_41,type,
bit0: num > num ).
thf(decl_42,type,
one: num ).
thf(decl_44,type,
numeral_numeral_real: num > real ).
thf(decl_47,type,
ord_less_eq_real: real > real > $o ).
thf(decl_50,type,
c: nat > real > real ).
thf(decl_51,type,
d: nat > real > real ).
thf(decl_52,type,
p: nat ).
thf(decl_53,type,
q: nat ).
thf(decl_54,type,
s: real ).
thf(decl_55,type,
t: real ).
thf(conj_0,conjecture,
ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(fact_4_Eq4,axiom,
( ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ one_one_real @ genClo1144207539le_rho ) ) )
= ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_Eq4) ).
thf(fact_84_one__add__one,axiom,
( ( plus_plus_real @ one_one_real @ one_one_real )
= ( numeral_numeral_real @ ( bit0 @ one ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_one__add__one) ).
thf(fact_5_Eq3,axiom,
ord_less_eq_real @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ one_one_real @ genClo1144207539le_rho ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_Eq3) ).
thf(fact_167_mult_Oassoc,axiom,
! [X1: real,X2: real,X4: real] :
( ( times_times_real @ ( times_times_real @ X1 @ X2 ) @ X4 )
= ( times_times_real @ X1 @ ( times_times_real @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_167_mult_Oassoc) ).
thf(fact_224_mult__2,axiom,
! [X8: real] :
( ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ X8 )
= ( plus_plus_real @ X8 @ X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_224_mult__2) ).
thf(fact_3_Eq1,axiom,
( ( abs_abs_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) )
= ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_Eq1) ).
thf(fact_163_mult_Oleft__commute,axiom,
! [X2: real,X1: real,X4: real] :
( ( times_times_real @ X2 @ ( times_times_real @ X1 @ X4 ) )
= ( times_times_real @ X1 @ ( times_times_real @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_163_mult_Oleft__commute) ).
thf(fact_152_add__diff__eq,axiom,
! [X1: real,X2: real,X4: real] :
( ( plus_plus_real @ X1 @ ( minus_minus_real @ X2 @ X4 ) )
= ( minus_minus_real @ ( plus_plus_real @ X1 @ X2 ) @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_152_add__diff__eq) ).
thf(fact_151_diff__diff__eq2,axiom,
! [X1: real,X2: real,X4: real] :
( ( minus_minus_real @ X1 @ ( minus_minus_real @ X2 @ X4 ) )
= ( minus_minus_real @ ( plus_plus_real @ X1 @ X4 ) @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_diff__diff__eq2) ).
thf(fact_149_diff__add__eq__diff__diff__swap,axiom,
! [X1: real,X2: real,X4: real] :
( ( minus_minus_real @ X1 @ ( plus_plus_real @ X2 @ X4 ) )
= ( minus_minus_real @ ( minus_minus_real @ X1 @ X4 ) @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_149_diff__add__eq__diff__diff__swap) ).
thf(fact_147_diff__diff__add,axiom,
! [X1: real,X2: real,X4: real] :
( ( minus_minus_real @ ( minus_minus_real @ X1 @ X2 ) @ X4 )
= ( minus_minus_real @ X1 @ ( plus_plus_real @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_diff__diff__add) ).
thf(fact_165_mult_Ocommute,axiom,
( times_times_real
= ( ^ [X76: real,X77: real] : ( times_times_real @ X77 @ X76 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_165_mult_Ocommute) ).
thf(fact_9_Eq2,axiom,
ord_less_eq_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_Eq2) ).
thf(fact_150_diff__add__eq,axiom,
! [X1: real,X2: real,X4: real] :
( ( plus_plus_real @ ( minus_minus_real @ X1 @ X2 ) @ X4 )
= ( minus_minus_real @ ( plus_plus_real @ X1 @ X4 ) @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_150_diff__add__eq) ).
thf(fact_103_add_Ocommute,axiom,
( plus_plus_real
= ( ^ [X76: real,X77: real] : ( plus_plus_real @ X77 @ X76 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_add_Ocommute) ).
thf(fact_303_order_Otrans,axiom,
! [X1: real,X2: real,X4: real] :
( ( ord_less_eq_real @ X1 @ X2 )
=> ( ( ord_less_eq_real @ X2 @ X4 )
=> ( ord_less_eq_real @ X1 @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_303_order_Otrans) ).
thf(c_0_17,negated_conjecture,
~ ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_18,plain,
( ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ one_one_real @ genClo1144207539le_rho ) ) )
= ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(split_conjunct,[status(thm)],[fact_4_Eq4]) ).
thf(c_0_19,plain,
( ( plus_plus_real @ one_one_real @ one_one_real )
= ( numeral_numeral_real @ ( bit0 @ one ) ) ),
inference(split_conjunct,[status(thm)],[fact_84_one__add__one]) ).
thf(c_0_20,negated_conjecture,
~ ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(fof_nnf,[status(thm)],[c_0_17]) ).
thf(c_0_21,plain,
ord_less_eq_real @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ one_one_real @ genClo1144207539le_rho ) ) ),
inference(split_conjunct,[status(thm)],[fact_5_Eq3]) ).
thf(c_0_22,plain,
( ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ one_one_real @ genClo1144207539le_rho ) ) )
= ( times_times_real @ ( times_times_real @ ( plus_plus_real @ one_one_real @ one_one_real ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_23,plain,
! [X1750: real,X1751: real,X1752: real] :
( ( times_times_real @ ( times_times_real @ X1750 @ X1751 ) @ X1752 )
= ( times_times_real @ X1750 @ ( times_times_real @ X1751 @ X1752 ) ) ),
inference(variable_rename,[status(thm)],[fact_167_mult_Oassoc]) ).
thf(c_0_24,plain,
! [X1785: real] :
( ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ X1785 )
= ( plus_plus_real @ X1785 @ X1785 ) ),
inference(variable_rename,[status(thm)],[fact_224_mult__2]) ).
thf(c_0_25,negated_conjecture,
~ ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_26,plain,
( ( abs_abs_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) )
= ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ),
inference(split_conjunct,[status(thm)],[fact_3_Eq1]) ).
thf(c_0_27,plain,
ord_less_eq_real @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( times_times_real @ ( times_times_real @ ( plus_plus_real @ one_one_real @ one_one_real ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_28,plain,
! [X2: real,X1: real,X4: real] :
( ( times_times_real @ ( times_times_real @ X1 @ X2 ) @ X4 )
= ( times_times_real @ X1 @ ( times_times_real @ X2 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_29,plain,
! [X1747: real,X1748: real,X1749: real] :
( ( times_times_real @ X1747 @ ( times_times_real @ X1748 @ X1749 ) )
= ( times_times_real @ X1748 @ ( times_times_real @ X1747 @ X1749 ) ) ),
inference(variable_rename,[status(thm)],[fact_163_mult_Oleft__commute]) ).
thf(c_0_30,plain,
! [X1: real] :
( ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ X1 )
= ( plus_plus_real @ X1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_31,plain,
! [X1821: real,X1822: real,X1823: real] :
( ( plus_plus_real @ X1821 @ ( minus_minus_real @ X1822 @ X1823 ) )
= ( minus_minus_real @ ( plus_plus_real @ X1821 @ X1822 ) @ X1823 ) ),
inference(variable_rename,[status(thm)],[fact_152_add__diff__eq]) ).
thf(c_0_32,plain,
! [X1818: real,X1819: real,X1820: real] :
( ( minus_minus_real @ X1818 @ ( minus_minus_real @ X1819 @ X1820 ) )
= ( minus_minus_real @ ( plus_plus_real @ X1818 @ X1820 ) @ X1819 ) ),
inference(variable_rename,[status(thm)],[fact_151_diff__diff__eq2]) ).
thf(c_0_33,plain,
! [X1812: real,X1813: real,X1814: real] :
( ( minus_minus_real @ X1812 @ ( plus_plus_real @ X1813 @ X1814 ) )
= ( minus_minus_real @ ( minus_minus_real @ X1812 @ X1814 ) @ X1813 ) ),
inference(variable_rename,[status(thm)],[fact_149_diff__add__eq__diff__diff__swap]) ).
thf(c_0_34,plain,
! [X1809: real,X1810: real,X1811: real] :
( ( minus_minus_real @ ( minus_minus_real @ X1809 @ X1810 ) @ X1811 )
= ( minus_minus_real @ X1809 @ ( plus_plus_real @ X1810 @ X1811 ) ) ),
inference(variable_rename,[status(thm)],[fact_147_diff__diff__add]) ).
thf(c_0_35,negated_conjecture,
~ ( ord_less_eq_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( times_times_real @ ( times_times_real @ ( plus_plus_real @ one_one_real @ one_one_real ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_19]) ).
thf(c_0_36,plain,
ord_less_eq_real @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( times_times_real @ ( plus_plus_real @ one_one_real @ one_one_real ) @ ( times_times_real @ genClo1144207539le_rho @ ( minus_minus_real @ t @ s ) ) ),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_37,plain,
! [X2: real,X1: real,X4: real] :
( ( times_times_real @ X1 @ ( times_times_real @ X2 @ X4 ) )
= ( times_times_real @ X2 @ ( times_times_real @ X1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_38,plain,
! [X1: real] :
( ( times_times_real @ ( plus_plus_real @ one_one_real @ one_one_real ) @ X1 )
= ( plus_plus_real @ X1 @ X1 ) ),
inference(rw,[status(thm)],[c_0_30,c_0_19]) ).
thf(c_0_39,plain,
! [X2: real,X1: real,X4: real] :
( ( plus_plus_real @ X1 @ ( minus_minus_real @ X2 @ X4 ) )
= ( minus_minus_real @ ( plus_plus_real @ X1 @ X2 ) @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_40,plain,
! [X4: real,X1: real,X2: real] :
( ( minus_minus_real @ X1 @ ( minus_minus_real @ X2 @ X4 ) )
= ( minus_minus_real @ ( plus_plus_real @ X1 @ X4 ) @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_41,plain,
( times_times_real
= ( ^ [Z0: real,Z1: real] : ( times_times_real @ Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[fact_165_mult_Ocommute]) ).
thf(c_0_42,plain,
ord_less_eq_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ),
inference(split_conjunct,[status(thm)],[fact_9_Eq2]) ).
thf(c_0_43,plain,
! [X4: real,X1: real,X2: real] :
( ( minus_minus_real @ X1 @ ( plus_plus_real @ X2 @ X4 ) )
= ( minus_minus_real @ ( minus_minus_real @ X1 @ X4 ) @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_44,plain,
! [X2: real,X1: real,X4: real] :
( ( minus_minus_real @ ( minus_minus_real @ X1 @ X2 ) @ X4 )
= ( minus_minus_real @ X1 @ ( plus_plus_real @ X2 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_45,negated_conjecture,
~ ( ord_less_eq_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( times_times_real @ ( plus_plus_real @ one_one_real @ one_one_real ) @ ( times_times_real @ genClo1144207539le_rho @ ( minus_minus_real @ t @ s ) ) ) ),
inference(rw,[status(thm)],[c_0_35,c_0_28]) ).
thf(c_0_46,plain,
ord_less_eq_real @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( times_times_real @ genClo1144207539le_rho @ ( plus_plus_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ t @ s ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
thf(c_0_47,plain,
! [X4: real,X1: real,X2: real] :
( ( minus_minus_real @ X1 @ ( minus_minus_real @ X2 @ X4 ) )
= ( plus_plus_real @ X1 @ ( minus_minus_real @ X4 @ X2 ) ) ),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
thf(c_0_48,plain,
( times_times_real
= ( ^ [Z0: real,Z1: real] : ( times_times_real @ Z1 @ Z0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_49,plain,
! [X1815: real,X1816: real,X1817: real] :
( ( plus_plus_real @ ( minus_minus_real @ X1815 @ X1816 ) @ X1817 )
= ( minus_minus_real @ ( plus_plus_real @ X1815 @ X1817 ) @ X1816 ) ),
inference(variable_rename,[status(thm)],[fact_150_diff__add__eq]) ).
thf(c_0_50,plain,
ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( plus_plus_real @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) @ ( c @ p @ s ) ) ) @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ),
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
thf(c_0_51,plain,
! [X4: real,X1: real,X2: real] :
( ( minus_minus_real @ X1 @ ( plus_plus_real @ X2 @ X4 ) )
= ( minus_minus_real @ X1 @ ( plus_plus_real @ X4 @ X2 ) ) ),
inference(rw,[status(thm)],[c_0_44,c_0_43]) ).
thf(c_0_52,negated_conjecture,
~ ( ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( plus_plus_real @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) @ ( c @ p @ s ) ) ) @ ( times_times_real @ ( plus_plus_real @ one_one_real @ one_one_real ) @ ( times_times_real @ genClo1144207539le_rho @ ( minus_minus_real @ t @ s ) ) ) ),
inference(rw,[status(thm)],[c_0_45,c_0_43]) ).
thf(c_0_53,plain,
( plus_plus_real
= ( ^ [Z0: real,Z1: real] : ( plus_plus_real @ Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[fact_103_add_Ocommute]) ).
thf(c_0_54,plain,
! [X1704: real,X1705: real,X1706: real] :
( ~ ( ord_less_eq_real @ X1704 @ X1705 )
| ~ ( ord_less_eq_real @ X1705 @ X1706 )
| ( ord_less_eq_real @ X1704 @ X1706 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_303_order_Otrans])])]) ).
thf(c_0_55,plain,
ord_less_eq_real @ ( plus_plus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ s ) @ ( d @ q @ t ) ) ) @ ( times_times_real @ genClo1144207539le_rho @ ( plus_plus_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ t @ s ) ) ),
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
thf(c_0_56,plain,
! [X2: real,X1: real] :
( ( times_times_real @ X1 @ X2 )
= ( times_times_real @ X2 @ X1 ) ),
inference(arg_cong,[status(thm)],[c_0_48]) ).
thf(c_0_57,plain,
! [X4: real,X1: real,X2: real] :
( ( plus_plus_real @ ( minus_minus_real @ X1 @ X2 ) @ X4 )
= ( minus_minus_real @ ( plus_plus_real @ X1 @ X4 ) @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
thf(c_0_58,plain,
! [X2: real,X1: real,X4: real] :
( ( minus_minus_real @ ( plus_plus_real @ X1 @ X2 ) @ X4 )
= ( plus_plus_real @ X1 @ ( minus_minus_real @ X2 @ X4 ) ) ),
inference(rw,[status(thm)],[c_0_40,c_0_47]) ).
thf(c_0_59,plain,
ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( plus_plus_real @ ( c @ p @ s ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
thf(c_0_60,negated_conjecture,
~ ( ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( plus_plus_real @ ( c @ p @ s ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( times_times_real @ ( plus_plus_real @ one_one_real @ one_one_real ) @ ( times_times_real @ genClo1144207539le_rho @ ( minus_minus_real @ t @ s ) ) ) ),
inference(rw,[status(thm)],[c_0_52,c_0_51]) ).
thf(c_0_61,plain,
( plus_plus_real
= ( ^ [Z0: real,Z1: real] : ( plus_plus_real @ Z1 @ Z0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
thf(c_0_62,plain,
! [X2: real,X1: real,X4: real] :
( ( ord_less_eq_real @ X1 @ X4 )
| ~ ( ord_less_eq_real @ X1 @ X2 )
| ~ ( ord_less_eq_real @ X2 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
thf(c_0_63,plain,
ord_less_eq_real @ ( plus_plus_real @ ( times_times_real @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) @ ( minus_minus_real @ ( d @ q @ s ) @ ( d @ q @ t ) ) ) @ ( times_times_real @ genClo1144207539le_rho @ ( plus_plus_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ t @ s ) ) ),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
thf(c_0_64,plain,
! [X4: real,X1: real,X2: real] :
( ( plus_plus_real @ ( minus_minus_real @ X1 @ X2 ) @ X4 )
= ( plus_plus_real @ X1 @ ( minus_minus_real @ X4 @ X2 ) ) ),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
thf(c_0_65,plain,
ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( plus_plus_real @ ( c @ p @ s ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( plus_plus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ s ) @ ( d @ q @ t ) ) ),
inference(rw,[status(thm)],[c_0_59,c_0_47]) ).
thf(c_0_66,negated_conjecture,
~ ( ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( plus_plus_real @ ( c @ p @ s ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( times_times_real @ genClo1144207539le_rho @ ( plus_plus_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ t @ s ) ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_37]),c_0_38]) ).
thf(c_0_67,plain,
! [X2: real,X1: real] :
( ( plus_plus_real @ X1 @ X2 )
= ( plus_plus_real @ X2 @ X1 ) ),
inference(arg_cong,[status(thm)],[c_0_61]) ).
thf(c_0_68,plain,
! [X1: real] :
( ( ord_less_eq_real @ X1 @ ( times_times_real @ genClo1144207539le_rho @ ( plus_plus_real @ t @ ( minus_minus_real @ t @ ( plus_plus_real @ s @ s ) ) ) ) )
| ~ ( ord_less_eq_real @ X1 @ ( plus_plus_real @ ( times_times_real @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) @ ( minus_minus_real @ ( d @ q @ s ) @ ( d @ q @ t ) ) ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_43]) ).
thf(c_0_69,plain,
ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( plus_plus_real @ ( c @ p @ s ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( plus_plus_real @ ( times_times_real @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) @ ( minus_minus_real @ ( d @ q @ s ) @ ( d @ q @ t ) ) ),
inference(rw,[status(thm)],[c_0_65,c_0_56]) ).
thf(c_0_70,negated_conjecture,
~ ( ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( plus_plus_real @ ( c @ p @ s ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( times_times_real @ genClo1144207539le_rho @ ( plus_plus_real @ t @ ( minus_minus_real @ t @ ( plus_plus_real @ s @ s ) ) ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_64]),c_0_43]) ).
thf(c_0_71,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : ITP062^1 : TPTP v8.2.0. Released v7.5.0.
% 0.03/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat May 18 17:00:22 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.42 Running higher-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.47/0.81 # Version: 3.1.0-ho
% 2.47/0.81 # Preprocessing class: HSLSSMSMSSSNHFA.
% 2.47/0.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.47/0.81 # Starting new_ho_10 with 1500s (5) cores
% 2.47/0.81 # Starting new_ho_10_cnf2 with 300s (1) cores
% 2.47/0.81 # Starting full_lambda_6 with 300s (1) cores
% 2.47/0.81 # Starting full_lambda_9 with 300s (1) cores
% 2.47/0.81 # full_lambda_6 with pid 25533 completed with status 0
% 2.47/0.81 # Result found by full_lambda_6
% 2.47/0.81 # Preprocessing class: HSLSSMSMSSSNHFA.
% 2.47/0.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.47/0.81 # Starting new_ho_10 with 1500s (5) cores
% 2.47/0.81 # Starting new_ho_10_cnf2 with 300s (1) cores
% 2.47/0.81 # Starting full_lambda_6 with 300s (1) cores
% 2.47/0.81 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 2.47/0.81 # Search class: HGUSM-FSLM33-DHFFFFBN
% 2.47/0.81 # partial match(1): HGUSM-FSLM32-DHFFFFBN
% 2.47/0.81 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 2.47/0.81 # Starting new_ho_10 with 163s (1) cores
% 2.47/0.81 # new_ho_10 with pid 25535 completed with status 0
% 2.47/0.81 # Result found by new_ho_10
% 2.47/0.81 # Preprocessing class: HSLSSMSMSSSNHFA.
% 2.47/0.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.47/0.81 # Starting new_ho_10 with 1500s (5) cores
% 2.47/0.81 # Starting new_ho_10_cnf2 with 300s (1) cores
% 2.47/0.81 # Starting full_lambda_6 with 300s (1) cores
% 2.47/0.81 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 2.47/0.81 # Search class: HGUSM-FSLM33-DHFFFFBN
% 2.47/0.81 # partial match(1): HGUSM-FSLM32-DHFFFFBN
% 2.47/0.81 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 2.47/0.81 # Starting new_ho_10 with 163s (1) cores
% 2.47/0.81 # Preprocessing time : 0.010 s
% 2.47/0.81 # Presaturation interreduction done
% 2.47/0.81
% 2.47/0.81 # Proof found!
% 2.47/0.81 # SZS status Theorem
% 2.47/0.81 # SZS output start CNFRefutation
% See solution above
% 2.47/0.81 # Parsed axioms : 391
% 2.47/0.81 # Removed by relevancy pruning/SinE : 50
% 2.47/0.81 # Initial clauses : 625
% 2.47/0.81 # Removed in clause preprocessing : 19
% 2.47/0.81 # Initial clauses in saturation : 606
% 2.47/0.81 # Processed clauses : 1542
% 2.47/0.81 # ...of these trivial : 77
% 2.47/0.81 # ...subsumed : 517
% 2.47/0.81 # ...remaining for further processing : 948
% 2.47/0.81 # Other redundant clauses eliminated : 126
% 2.47/0.81 # Clauses deleted for lack of memory : 0
% 2.47/0.81 # Backward-subsumed : 6
% 2.47/0.81 # Backward-rewritten : 55
% 2.47/0.81 # Generated clauses : 10901
% 2.47/0.81 # ...of the previous two non-redundant : 9511
% 2.47/0.81 # ...aggressively subsumed : 0
% 2.47/0.81 # Contextual simplify-reflections : 0
% 2.47/0.81 # Paramodulations : 10706
% 2.47/0.81 # Factorizations : 6
% 2.47/0.81 # NegExts : 0
% 2.47/0.81 # Equation resolutions : 142
% 2.47/0.81 # Disequality decompositions : 0
% 2.47/0.81 # Total rewrite steps : 6169
% 2.47/0.81 # ...of those cached : 4367
% 2.47/0.81 # Propositional unsat checks : 0
% 2.47/0.81 # Propositional check models : 0
% 2.47/0.81 # Propositional check unsatisfiable : 0
% 2.47/0.81 # Propositional clauses : 0
% 2.47/0.81 # Propositional clauses after purity: 0
% 2.47/0.81 # Propositional unsat core size : 0
% 2.47/0.81 # Propositional preprocessing time : 0.000
% 2.47/0.81 # Propositional encoding time : 0.000
% 2.47/0.81 # Propositional solver time : 0.000
% 2.47/0.81 # Success case prop preproc time : 0.000
% 2.47/0.81 # Success case prop encoding time : 0.000
% 2.47/0.81 # Success case prop solver time : 0.000
% 2.47/0.81 # Current number of processed clauses : 527
% 2.47/0.81 # Positive orientable unit clauses : 184
% 2.47/0.81 # Positive unorientable unit clauses: 17
% 2.47/0.81 # Negative unit clauses : 25
% 2.47/0.81 # Non-unit-clauses : 301
% 2.47/0.81 # Current number of unprocessed clauses: 8817
% 2.47/0.81 # ...number of literals in the above : 18197
% 2.47/0.81 # Current number of archived formulas : 0
% 2.47/0.81 # Current number of archived clauses : 346
% 2.47/0.81 # Clause-clause subsumption calls (NU) : 35047
% 2.47/0.81 # Rec. Clause-clause subsumption calls : 26050
% 2.47/0.81 # Non-unit clause-clause subsumptions : 402
% 2.47/0.81 # Unit Clause-clause subsumption calls : 3774
% 2.47/0.81 # Rewrite failures with RHS unbound : 0
% 2.47/0.81 # BW rewrite match attempts : 578
% 2.47/0.81 # BW rewrite match successes : 218
% 2.47/0.81 # Condensation attempts : 1542
% 2.47/0.81 # Condensation successes : 36
% 2.47/0.81 # Termbank termtop insertions : 212605
% 2.47/0.81 # Search garbage collected termcells : 10257
% 2.47/0.81
% 2.47/0.81 # -------------------------------------------------
% 2.47/0.81 # User time : 0.326 s
% 2.47/0.81 # System time : 0.022 s
% 2.47/0.81 # Total time : 0.348 s
% 2.47/0.81 # Maximum resident set size: 4644 pages
% 2.47/0.81
% 2.47/0.81 # -------------------------------------------------
% 2.47/0.81 # User time : 0.337 s
% 2.47/0.81 # System time : 0.026 s
% 2.47/0.81 # Total time : 0.363 s
% 2.47/0.81 # Maximum resident set size: 2504 pages
% 2.47/0.81 % E---3.1 exiting
% 2.47/0.81 % E exiting
%------------------------------------------------------------------------------