%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP018^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 : Wed Sep 30 08:04:04 AM UTC 2026
% Result : Theorem 0.07s 0.15s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 17 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 583 ( 20 ~; 15 |; 0 &; 544 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 5 con; 0-2 aty)
% Number of variables : 72 ( 0 ^; 72 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
del: $tType ).
thf(decl_sort2,type,
tp__ty_2Erealax_2Ereal: $tType ).
thf(decl_25,type,
arr: del > del > del ).
thf(decl_26,type,
mem: $i > del > $o ).
thf(decl_27,type,
ap: $i > $i > $i ).
thf(decl_31,type,
ty_2Erealax_2Ereal: del ).
thf(decl_32,type,
inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal > $i ).
thf(decl_33,type,
surj__ty_2Erealax_2Ereal: $i > tp__ty_2Erealax_2Ereal ).
thf(decl_34,type,
c_2Erealax_2Ereal__neg: $i ).
thf(decl_36,type,
ty_2Ebinary__ieee_2Efloat: del > del > del ).
thf(decl_37,type,
c_2Ebinary__ieee_2Efloat__negate: del > del > $i ).
thf(decl_38,type,
ty_2Epair_2Eprod: del > del > del ).
thf(decl_39,type,
ty_2Ebool_2Eitself: del > del ).
thf(decl_40,type,
c_2Ebinary__ieee_2Efloat__plus__min: del > del > $i ).
thf(decl_41,type,
c_2Ebinary__ieee_2Efloat__to__real: del > del > $i ).
thf(decl_42,type,
c_2Ebool_2Ethe__value: del > $i ).
thf(decl_43,type,
c_2Ebinary__ieee_2Eulp: del > del > $i ).
thf(decl_47,type,
esk1_0: del ).
thf(decl_48,type,
esk2_0: del ).
thf(stp_iso_mem_ty_2Erealax_2Ereal,axiom,
! [X15: $i] :
( ( mem @ X15 @ ty_2Erealax_2Ereal )
=> ( X15
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X15 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOWTpPdzsP/E---3.1_574348.p',stp_iso_mem_ty_2Erealax_2Ereal) ).
thf(conj_thm_2Ebinary__ieee_2Eulp,axiom,
! [X17: del,X18: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X17 @ X18 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X17 @ X18 ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X17 @ X18 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X17 @ X18 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X17 @ X18 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOWTpPdzsP/E---3.1_574348.p',conj_thm_2Ebinary__ieee_2Eulp) ).
thf(ap_tp,axiom,
! [X3: del,X4: del,X5: $i] :
( ( mem @ X5 @ ( arr @ X3 @ X4 ) )
=> ! [X6: $i] :
( ( mem @ X6 @ X3 )
=> ( mem @ ( ap @ X5 @ X6 ) @ X4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOWTpPdzsP/E---3.1_574348.p',ap_tp) ).
thf(mem_c_2Ebinary__ieee_2Efloat__to__real,axiom,
! [X17: del,X18: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__to__real @ X17 @ X18 ) @ ( arr @ ( ty_2Ebinary__ieee_2Efloat @ X17 @ X18 ) @ ty_2Erealax_2Ereal ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOWTpPdzsP/E---3.1_574348.p',mem_c_2Ebinary__ieee_2Efloat__to__real) ).
thf(mem_c_2Ebinary__ieee_2Eulp,axiom,
! [X17: del,X18: del] : ( mem @ ( c_2Ebinary__ieee_2Eulp @ X17 @ X18 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X17 @ X18 ) ) @ ty_2Erealax_2Ereal ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOWTpPdzsP/E---3.1_574348.p',mem_c_2Ebinary__ieee_2Eulp) ).
thf(conj_thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
! [X17: del,X18: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X17 @ X18 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X17 @ X18 ) ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X17 @ X18 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X17 @ X18 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X17 @ X18 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X17 @ X18 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOWTpPdzsP/E---3.1_574348.p',conj_thm_2Ebinary__ieee_2Eneg__ulp) ).
thf(mem_c_2Ebool_2Ethe__value,axiom,
! [X19: del] : ( mem @ ( c_2Ebool_2Ethe__value @ X19 ) @ ( ty_2Ebool_2Eitself @ X19 ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOWTpPdzsP/E---3.1_574348.p',mem_c_2Ebool_2Ethe__value) ).
thf(conj_thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
! [X19: del,X24: del,X25: $i] :
( ( mem @ X25 @ ( ty_2Ebinary__ieee_2Efloat @ X19 @ X24 ) )
=> ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X19 @ X24 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X19 @ X24 ) @ X25 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X19 @ X24 ) @ X25 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOWTpPdzsP/E---3.1_574348.p',conj_thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
thf(mem_c_2Ebinary__ieee_2Efloat__plus__min,axiom,
! [X17: del,X18: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X17 @ X18 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X17 @ X18 ) ) @ ( ty_2Ebinary__ieee_2Efloat @ X17 @ X18 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lOWTpPdzsP/E---3.1_574348.p',mem_c_2Ebinary__ieee_2Efloat__plus__min) ).
thf(c_0_9,plain,
! [X59: $i] :
( ~ ( mem @ X59 @ ty_2Erealax_2Ereal )
| ( X59
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X59 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stp_iso_mem_ty_2Erealax_2Ereal])])]) ).
thf(c_0_10,plain,
! [X70: del,X71: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X70 @ X71 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X70 @ X71 ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X70 @ X71 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X70 @ X71 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X70 @ X71 ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[conj_thm_2Ebinary__ieee_2Eulp]) ).
thf(c_0_11,plain,
! [X60: del,X61: del,X62: $i,X63: $i] :
( ~ ( mem @ X62 @ ( arr @ X60 @ X61 ) )
| ~ ( mem @ X63 @ X60 )
| ( mem @ ( ap @ X62 @ X63 ) @ X61 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])]) ).
thf(c_0_12,plain,
! [X81: del,X82: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__to__real @ X81 @ X82 ) @ ( arr @ ( ty_2Ebinary__ieee_2Efloat @ X81 @ X82 ) @ ty_2Erealax_2Ereal ) ),
inference(variable_rename,[status(thm)],[mem_c_2Ebinary__ieee_2Efloat__to__real]) ).
thf(c_0_13,plain,
! [X74: del,X75: del] : ( mem @ ( c_2Ebinary__ieee_2Eulp @ X74 @ X75 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X74 @ X75 ) ) @ ty_2Erealax_2Ereal ) ),
inference(variable_rename,[status(thm)],[mem_c_2Ebinary__ieee_2Eulp]) ).
thf(c_0_14,negated_conjecture,
~ ! [X17: del,X18: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X17 @ X18 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X17 @ X18 ) ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X17 @ X18 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X17 @ X18 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X17 @ X18 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X17 @ X18 ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Ebinary__ieee_2Eneg__ulp]) ).
thf(c_0_15,plain,
! [X2: $i] :
( ( X2
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X2 ) ) )
| ~ ( mem @ X2 @ ty_2Erealax_2Ereal ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_16,plain,
! [X3: del,X4: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X3 @ X4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X3 @ X4 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X3 @ X4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_17,plain,
! [X2: $i,X5: $i,X4: del,X3: del] :
( ( mem @ ( ap @ X2 @ X5 ) @ X4 )
| ~ ( mem @ X2 @ ( arr @ X3 @ X4 ) )
| ~ ( mem @ X5 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_18,plain,
! [X3: del,X4: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__to__real @ X3 @ X4 ) @ ( arr @ ( ty_2Ebinary__ieee_2Efloat @ X3 @ X4 ) @ ty_2Erealax_2Ereal ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_19,plain,
! [X3: del,X4: del] : ( mem @ ( c_2Ebinary__ieee_2Eulp @ X3 @ X4 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) @ ty_2Erealax_2Ereal ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_20,plain,
! [X69: del] : ( mem @ ( c_2Ebool_2Ethe__value @ X69 ) @ ( ty_2Ebool_2Eitself @ X69 ) ),
inference(variable_rename,[status(thm)],[mem_c_2Ebool_2Ethe__value]) ).
thf(c_0_21,negated_conjecture,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ esk1_0 @ esk2_0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ esk1_0 @ esk2_0 ) ) ) ) )
!= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ esk1_0 @ esk2_0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ esk1_0 @ esk2_0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ esk1_0 @ esk2_0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ esk1_0 @ esk2_0 ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
thf(c_0_22,plain,
! [X78: del,X79: del,X80: $i] :
( ~ ( mem @ X80 @ ( ty_2Ebinary__ieee_2Efloat @ X78 @ X79 ) )
| ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X78 @ X79 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X78 @ X79 ) @ X80 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X78 @ X79 ) @ X80 ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ebinary__ieee_2Efloat__to__real__negate])])]) ).
thf(c_0_23,plain,
! [X3: del,X4: del] :
( ( ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X3 @ X4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) ) )
= ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X3 @ X4 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X3 @ X4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) ) )
| ~ ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X3 @ X4 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X3 @ X4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) ) @ ty_2Erealax_2Ereal ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_24,plain,
! [X2: $i,X3: del,X4: del] :
( ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X3 @ X4 ) @ X2 ) @ ty_2Erealax_2Ereal )
| ~ ( mem @ X2 @ ( ty_2Ebinary__ieee_2Efloat @ X3 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_25,plain,
! [X2: $i,X3: del,X4: del] :
( ( mem @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X3 @ X4 ) @ X2 ) @ ty_2Erealax_2Ereal )
| ~ ( mem @ X2 @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) ),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
thf(c_0_26,plain,
! [X3: del] : ( mem @ ( c_2Ebool_2Ethe__value @ X3 ) @ ( ty_2Ebool_2Eitself @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_27,negated_conjecture,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ esk1_0 @ esk2_0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ esk1_0 @ esk2_0 ) ) ) ) )
!= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ esk1_0 @ esk2_0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ esk1_0 @ esk2_0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ esk1_0 @ esk2_0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ esk1_0 @ esk2_0 ) ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_28,plain,
! [X2: $i,X3: del,X4: del] :
( ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X3 @ X4 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X3 @ X4 ) @ X2 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X3 @ X4 ) @ X2 ) ) ) )
| ~ ( mem @ X2 @ ( ty_2Ebinary__ieee_2Efloat @ X3 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_29,plain,
! [X3: del,X4: del] :
( ( ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X3 @ X4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) ) )
= ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X3 @ X4 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X3 @ X4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) ) )
| ~ ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X3 @ X4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) @ ( ty_2Ebinary__ieee_2Efloat @ X3 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_30,plain,
! [X3: del,X4: del] : ( mem @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X3 @ X4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) @ ty_2Erealax_2Ereal ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_31,plain,
! [X72: del,X73: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X72 @ X73 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X72 @ X73 ) ) @ ( ty_2Ebinary__ieee_2Efloat @ X72 @ X73 ) ) ),
inference(variable_rename,[status(thm)],[mem_c_2Ebinary__ieee_2Efloat__plus__min]) ).
thf(c_0_32,negated_conjecture,
( ( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ esk1_0 @ esk2_0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ esk1_0 @ esk2_0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ esk1_0 @ esk2_0 ) ) ) ) ) )
!= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ esk1_0 @ esk2_0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ esk1_0 @ esk2_0 ) ) ) ) ) )
| ~ ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ esk1_0 @ esk2_0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ esk1_0 @ esk2_0 ) ) ) @ ( ty_2Ebinary__ieee_2Efloat @ esk1_0 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_33,plain,
! [X3: del,X4: del] :
( ( ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X3 @ X4 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X3 @ X4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) )
= ( ap @ ( c_2Ebinary__ieee_2Eulp @ X3 @ X4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) )
| ~ ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X3 @ X4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) @ ( ty_2Ebinary__ieee_2Efloat @ X3 @ X4 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_29]),c_0_30])]) ).
thf(c_0_34,plain,
! [X3: del,X4: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X3 @ X4 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) @ ( ty_2Ebinary__ieee_2Efloat @ X3 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_35,negated_conjecture,
~ ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ esk1_0 @ esk2_0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ esk1_0 @ esk2_0 ) ) ) @ ( ty_2Ebinary__ieee_2Efloat @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_36,plain,
! [X2: $i,X3: del,X4: del] :
( ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X3 @ X4 ) @ X2 ) @ ( ty_2Ebinary__ieee_2Efloat @ X3 @ X4 ) )
| ~ ( mem @ X2 @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) ),
inference(spm,[status(thm)],[c_0_17,c_0_34]) ).
thf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP018^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 19:32:39 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.12 Running higher-order theorem proving
% 0.07/0.13 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.lOWTpPdzsP/E---3.1_574348.p
% 0.07/0.15 % Version: 3.5.1-ho
% 0.07/0.15 % Preprocessing class: HSMSSMSSSSSNSFA.
% 0.07/0.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.15 % Starting new_ho_14 with 1200s (4) cores
% 0.07/0.15 % Starting new_ho_13 with 600s (2) cores
% 0.07/0.15 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.07/0.15 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.15 % new_bool_3 with pid 574364 completed with status 0
% 0.07/0.15 % Result found by new_bool_3
% 0.07/0.15 % Preprocessing class: HSMSSMSSSSSNSFA.
% 0.07/0.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.15 % Starting new_ho_14 with 1200s (4) cores
% 0.07/0.15 % Starting new_ho_13 with 600s (2) cores
% 0.07/0.15 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.07/0.15 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.15 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.15 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.15 % Search class: HGUSM-FFMF31-DSFFFFNN
% 0.07/0.15 % partial match(2): HGUSM-FFMS31-DSFFFFBN
% 0.07/0.15 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.15 % Starting SubtermCWHack with 28s (1) cores
% 0.07/0.15 % SubtermCWHack with pid 574365 completed with status 0
% 0.07/0.15 % Result found by SubtermCWHack
% 0.07/0.15 % Preprocessing class: HSMSSMSSSSSNSFA.
% 0.07/0.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.15 % Starting new_ho_14 with 1200s (4) cores
% 0.07/0.15 % Starting new_ho_13 with 600s (2) cores
% 0.07/0.15 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.07/0.15 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.15 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.15 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.15 % Search class: HGUSM-FFMF31-DSFFFFNN
% 0.07/0.15 % partial match(2): HGUSM-FFMS31-DSFFFFBN
% 0.07/0.15 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.15 % Starting SubtermCWHack with 28s (1) cores
% 0.07/0.15 % Preprocessing time : 0.001 s
% 0.07/0.15
% 0.07/0.15 % Proof found!
% 0.07/0.15 % SZS status Theorem
% 0.07/0.15 % SZS output start CNFRefutation
% See solution above
% 0.07/0.15 % Parsed axioms : 54
% 0.07/0.15 % Removed by relevancy pruning/SinE : 39
% 0.07/0.15 % Initial clauses : 17
% 0.07/0.15 % Removed in clause preprocessing : 2
% 0.07/0.15 % Initial clauses in saturation : 15
% 0.07/0.15 % Processed clauses : 35
% 0.07/0.15 % ...of these trivial : 0
% 0.07/0.15 % ...subsumed : 3
% 0.07/0.15 % ...remaining for further processing : 32
% 0.07/0.15 % Other redundant clauses eliminated : 0
% 0.07/0.15 % Clauses deleted for lack of memory : 0
% 0.07/0.15 % Backward-subsumed : 2
% 0.07/0.15 % Backward-rewritten : 0
% 0.07/0.15 % Generated clauses : 41
% 0.07/0.15 % ...of the previous two non-redundant : 29
% 0.07/0.15 % ...aggressively subsumed : 0
% 0.07/0.15 % Contextual simplify-reflections : 1
% 0.07/0.15 % Paramodulations : 40
% 0.07/0.15 % Factorizations : 0
% 0.07/0.15 % NegExts : 0
% 0.07/0.15 % Equation resolutions : 1
% 0.07/0.15 % Disequality decompositions : 0
% 0.07/0.15 % Total rewrite steps : 10
% 0.07/0.15 % ...of those cached : 3
% 0.07/0.15 % Propositional unsat checks : 0
% 0.07/0.15 % Propositional check models : 0
% 0.07/0.15 % Propositional check unsatisfiable : 0
% 0.07/0.15 % Propositional clauses : 0
% 0.07/0.15 % Propositional clauses after purity: 0
% 0.07/0.15 % Propositional unsat core size : 0
% 0.07/0.15 % Propositional preprocessing time : 0.000
% 0.07/0.15 % Propositional encoding time : 0.000
% 0.07/0.15 % Propositional solver time : 0.000
% 0.07/0.15 % Success case prop preproc time : 0.000
% 0.07/0.15 % Success case prop encoding time : 0.000
% 0.07/0.15 % Success case prop solver time : 0.000
% 0.07/0.15 % Current number of processed clauses : 30
% 0.07/0.15 % Positive orientable unit clauses : 10
% 0.07/0.15 % Positive unorientable unit clauses: 0
% 0.07/0.15 % Negative unit clauses : 2
% 0.07/0.15 % Non-unit-clauses : 18
% 0.07/0.15 % Current number of unprocessed clauses: 9
% 0.07/0.15 % ...number of literals in the above : 29
% 0.07/0.15 % Current number of archived formulas : 0
% 0.07/0.15 % Current number of archived clauses : 2
% 0.07/0.15 % Clause-clause subsumption calls (NU) : 42
% 0.07/0.15 % Rec. Clause-clause subsumption calls : 35
% 0.07/0.15 % Non-unit clause-clause subsumptions : 5
% 0.07/0.15 % Unit Clause-clause subsumption calls : 1
% 0.07/0.15 % Rewrite failures with RHS unbound : 0
% 0.07/0.15 % BW rewrite match attempts : 1
% 0.07/0.15 % BW rewrite match successes : 0
% 0.07/0.15 % Condensation attempts : 0
% 0.07/0.15 % Condensation successes : 0
% 0.07/0.15 % Termbank termtop insertions : 3072
% 0.07/0.15 % Search garbage collected termcells : 431
% 0.07/0.15
% 0.07/0.15 % -------------------------------------------------
% 0.07/0.15 % User time : 0.003 s
% 0.07/0.15 % System time : 0.003 s
% 0.07/0.15 % Total time : 0.006 s
% 0.07/0.15 % Maximum resident set size: 3692 pages
% 0.07/0.15
% 0.07/0.15 % -------------------------------------------------
% 0.07/0.15 % User time : 0.006 s
% 0.07/0.15 % System time : 0.005 s
% 0.07/0.15 % Total time : 0.010 s
% 0.07/0.15 % Maximum resident set size: 4864 pages
% 0.07/0.15 % E exiting
%------------------------------------------------------------------------------