%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP018^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n027.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 : Wed Feb 25 08:54:00 AM UTC 2026
% Result : Theorem 1.63s 1.36s
% Output : Refutation 1.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP018^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n027.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 08:22:07 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.28/0.47 ---- Original DTF file ---
% 0.28/0.47 thf(spec,logic,$$dhol).
% 0.28/0.47 %------------------------------------------------------------------------------
% 0.28/0.47 % File : ITP018^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.28/0.47 % Domain : Interactive Theorem Proving
% 0.28/0.47 % Problem : HOL4 syntactic export of thm_2Ebinary__ieee_2Eneg__ulp.p, bushy mode
% 0.28/0.47 % Version : [BG+19] axioms.
% 0.28/0.47 % English :
% 0.28/0.47
% 0.28/0.47 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.28/0.47 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.28/0.47 % Source : [BG+19]
% 0.28/0.47 % Names : thm_2Ebinary__ieee_2Eneg__ulp.p [Gau19]
% 0.28/0.47 % : HL408501^3.p [TPAP]
% 0.28/0.47
% 0.28/0.47 % Status : Theorem
% 0.28/0.47 % Rating : 0.33 v8.1.0, 0.25 v7.5.0
% 0.28/0.47 % Syntax : Number of formulae : 32 ( 9 unt; 20 typ; 0 def)
% 0.28/0.47 % Number of atoms : 15 ( 5 equ; 1 cnn)
% 0.28/0.47 % Maximal formula atoms : 2 ( 1 avg)
% 0.28/0.47 % Number of connectives : 90 ( 1 ~; 1 |; 1 &; 78 @)
% 0.28/0.47 % ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% 0.28/0.47 % Maximal formula depth : 8 ( 5 avg)
% 0.28/0.47 % Number of types : 3 ( 2 usr)
% 0.28/0.47 % Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% 0.28/0.47 % Number of symbols : 20 ( 18 usr; 2 con; 0-3 aty)
% 0.28/0.47 % Number of variables : 37 ( 0 ^; 24 !; 1 ?; 37 :)
% 0.28/0.47 % ( 12 !>; 0 ?*; 0 @-; 0 @+)
% 0.28/0.47 % SPC : TH1_THM_EQU_NAR
% 0.28/0.47
% 0.28/0.47 % Comments :
% 0.28/0.47 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.28/0.47 %------------------------------------------------------------------------------
% 0.28/0.47 thf(tyop_2Ebinary__ieee_2Efloat,type,
% 0.28/0.47 tyop_2Ebinary__ieee_2Efloat: $tType > $tType > $tType ).
% 0.28/0.47
% 0.28/0.47 thf(tyop_2Ebool_2Eitself,type,
% 0.28/0.47 tyop_2Ebool_2Eitself: $tType > $tType ).
% 0.28/0.47
% 0.28/0.47 thf(tyop_2Emin_2Ebool,type,
% 0.28/0.47 tyop_2Emin_2Ebool: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(tyop_2Emin_2Efun,type,
% 0.28/0.47 tyop_2Emin_2Efun: $tType > $tType > $tType ).
% 0.28/0.47
% 0.28/0.47 thf(tyop_2Epair_2Eprod,type,
% 0.28/0.47 tyop_2Epair_2Eprod: $tType > $tType > $tType ).
% 0.28/0.47
% 0.28/0.47 thf(tyop_2Erealax_2Ereal,type,
% 0.28/0.47 tyop_2Erealax_2Ereal: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Ebool_2E_21,type,
% 0.28/0.47 c_2Ebool_2E_21:
% 0.28/0.47 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Ebool_2E_2F_5C,type,
% 0.28/0.47 c_2Ebool_2E_2F_5C: $o > $o > $o ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Emin_2E_3D,type,
% 0.28/0.47 c_2Emin_2E_3D:
% 0.28/0.47 !>[A_27a: $tType] : ( A_27a > A_27a > $o ) ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Emin_2E_3D_3D_3E,type,
% 0.28/0.47 c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Ebool_2E_3F,type,
% 0.28/0.47 c_2Ebool_2E_3F:
% 0.28/0.47 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Ebool_2ET,type,
% 0.28/0.47 c_2Ebool_2ET: $o ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Ebool_2E_5C_2F,type,
% 0.28/0.47 c_2Ebool_2E_5C_2F: $o > $o > $o ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Ebinary__ieee_2Efloat__negate,type,
% 0.28/0.47 c_2Ebinary__ieee_2Efloat__negate:
% 0.28/0.47 !>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Ebinary__ieee_2Efloat__plus__min,type,
% 0.28/0.47 c_2Ebinary__ieee_2Efloat__plus__min:
% 0.28/0.47 !>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Ebinary__ieee_2Efloat__to__real,type,
% 0.28/0.47 c_2Ebinary__ieee_2Efloat__to__real:
% 0.28/0.47 !>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > tyop_2Erealax_2Ereal ) ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Erealax_2Ereal__neg,type,
% 0.28/0.47 c_2Erealax_2Ereal__neg: tyop_2Erealax_2Ereal > tyop_2Erealax_2Ereal ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Ebool_2Ethe__value,type,
% 0.28/0.47 c_2Ebool_2Ethe__value:
% 0.28/0.47 !>[A_27a: $tType] : ( tyop_2Ebool_2Eitself @ A_27a ) ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Ebinary__ieee_2Eulp,type,
% 0.28/0.47 c_2Ebinary__ieee_2Eulp:
% 0.28/0.47 !>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) > tyop_2Erealax_2Ereal ) ).
% 0.28/0.47
% 0.28/0.47 thf(c_2Ebool_2E_7E,type,
% 0.28/0.47 c_2Ebool_2E_7E: $o > $o ).
% 0.28/0.47
% 0.28/0.47 thf(logicdef_2E_2F_5C,axiom,
% 0.28/0.47 ! [V0: $o,V1: $o] :
% 0.28/0.47 ( ( c_2Ebool_2E_2F_5C @ V0 @ V1 )
% 0.28/0.47 <=> ( V0
% 0.28/0.47 & V1 ) ) ).
% 0.28/0.47
% 0.28/0.47 thf(logicdef_2E_5C_2F,axiom,
% 0.28/0.47 ! [V0: $o,V1: $o] :
% 0.28/0.47 ( ( c_2Ebool_2E_5C_2F @ V0 @ V1 )
% 0.28/0.47 <=> ( V0
% 0.28/0.47 | V1 ) ) ).
% 0.28/0.47
% 0.28/0.47 thf(logicdef_2E_7E,axiom,
% 0.28/0.47 ! [V0: $o] :
% 0.28/0.47 ( ( c_2Ebool_2E_7E @ V0 )
% 0.28/0.47 <=> ( (~) @ V0 ) ) ).
% 0.28/0.47
% 0.28/0.47 thf(logicdef_2E_3D_3D_3E,axiom,
% 0.28/0.47 ! [V0: $o,V1: $o] :
% 0.28/0.47 ( ( c_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 0.28/0.47 <=> ( V0
% 0.28/0.47 => V1 ) ) ).
% 0.28/0.47
% 0.28/0.47 thf(logicdef_2E_3D,axiom,
% 0.28/0.47 ! [A_27a: $tType,V0: A_27a,V1: A_27a] :
% 0.28/0.47 ( ( c_2Emin_2E_3D @ A_27a @ V0 @ V1 )
% 0.28/0.47 <=> ( V0 = V1 ) ) ).
% 0.28/0.47
% 0.28/0.47 thf(quantdef_2E_21,axiom,
% 0.28/0.47 ! [A_27a: $tType,V0f: A_27a > $o] :
% 0.28/0.47 ( ( c_2Ebool_2E_21 @ A_27a @ V0f )
% 0.28/0.47 <=> ! [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 0.28/0.47
% 0.28/0.47 thf(quantdef_2E_3F,axiom,
% 0.28/0.47 ! [A_27a: $tType,V0f: A_27a > $o] :
% 0.28/0.47 ( ( c_2Ebool_2E_3F @ A_27a @ V0f )
% 0.28/0.47 <=> ? [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 0.28/0.47
% 0.28/0.47 thf(thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
% 0.28/0.47 ! [A_27a: $tType,A_27b: $tType,V0x: tyop_2Ebinary__ieee_2Efloat @ A_27a @ A_27b] :
% 0.28/0.47 ( ( c_2Ebinary__ieee_2Efloat__to__real @ A_27a @ A_27b @ ( c_2Ebinary__ieee_2Efloat__negate @ A_27a @ A_27b @ V0x ) )
% 0.28/0.47 = ( c_2Erealax_2Ereal__neg @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27a @ A_27b @ V0x ) ) ) ).
% 0.28/0.47
% 0.28/0.47 thf(thm_2Ebinary__ieee_2Eulp,axiom,
% 0.28/0.47 ! [A_27t: $tType,A_27w: $tType] :
% 0.28/0.47 ( ( c_2Ebinary__ieee_2Eulp @ A_27t @ A_27w @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) )
% 0.28/0.47 = ( c_2Ebinary__ieee_2Efloat__to__real @ A_27t @ A_27w @ ( c_2Ebinary__ieee_2Efloat__plus__min @ A_27t @ A_27w @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 thf(thm_2Ebool_2ETRUTH,axiom,
% 0.28/0.47 c_2Ebool_2ET ).
% 0.28/0.47
% 0.28/0.47 thf(thm_2Ebool_2EREFL__CLAUSE,axiom,
% 0.28/0.47 ! [A_27a: $tType,V0x: A_27a] :
% 0.28/0.47 ( ( V0x = V0x )
% 0.28/0.47 <=> c_2Ebool_2ET ) ).
% 0.28/0.47
% 0.28/0.47 thf(thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
% 0.28/0.47 ! [A_27t: $tType,A_27w: $tType] :
% 0.28/0.47 ( ( c_2Erealax_2Ereal__neg @ ( c_2Ebinary__ieee_2Eulp @ A_27t @ A_27w @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) ) )
% 0.28/0.47 = ( c_2Ebinary__ieee_2Efloat__to__real @ A_27t @ A_27w @ ( c_2Ebinary__ieee_2Efloat__negate @ A_27t @ A_27w @ ( c_2Ebinary__ieee_2Efloat__plus__min @ A_27t @ A_27w @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 %------------------------------------------------------------------------------
% 0.28/0.47 ------------------------
% 1.63/1.32 ---- Embedded in THF ---
% 1.63/1.32 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.63/1.32 %%% Generated on Tue Feb 24 08:22:08 EST 2026
% 1.63/1.32 %%% using '$$dhol' embedding, version 1.3.0.
% 1.63/1.32 %%% Logic specification used:
% 1.63/1.32 %%% thf(spec, logic, $$dhol).
% 1.63/1.32
% 1.63/1.32 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.fHyVCk72Mw/DTF2DTF31460.p
% 1.63/1.32 thf(tyop_2Ebinary__ieee_2Efloat, type, tyop_2Ebinary__ieee_2Efloat: ($tType > ($tType > $tType))).
% 1.63/1.32 thf(tyop_2Ebool_2Eitself, type, tyop_2Ebool_2Eitself: ($tType > $tType)).
% 1.63/1.32 thf(tyop_2Emin_2Ebool, type, tyop_2Emin_2Ebool: $tType).
% 1.63/1.32 thf(tyop_2Emin_2Efun, type, tyop_2Emin_2Efun: ($tType > ($tType > $tType))).
% 1.63/1.32 thf(tyop_2Epair_2Eprod, type, tyop_2Epair_2Eprod: ($tType > ($tType > $tType))).
% 1.63/1.32 thf(tyop_2Erealax_2Ereal, type, tyop_2Erealax_2Ereal: $tType).
% 1.63/1.32 thf(c_2Ebool_2E_21, type, c_2Ebool_2E_21: (!> [A_27a:$tType]: (((A_27a > $o) > $o)))).
% 1.63/1.32 thf(c_2Ebool_2E_2F_5C, type, c_2Ebool_2E_2F_5C: ($o > ($o > $o))).
% 1.63/1.32 thf(c_2Emin_2E_3D, type, c_2Emin_2E_3D: (!> [A_27a:$tType]: ((A_27a > (A_27a > $o))))).
% 1.63/1.32 thf(c_2Emin_2E_3D_3D_3E, type, c_2Emin_2E_3D_3D_3E: ($o > ($o > $o))).
% 1.63/1.32 thf(c_2Ebool_2E_3F, type, c_2Ebool_2E_3F: (!> [A_27a:$tType]: (((A_27a > $o) > $o)))).
% 1.63/1.32 thf(c_2Ebool_2ET, type, c_2Ebool_2ET: $o).
% 1.63/1.32 thf(c_2Ebool_2E_5C_2F, type, c_2Ebool_2E_5C_2F: ($o > ($o > $o))).
% 1.63/1.32 thf(c_2Ebinary__ieee_2Efloat__negate, type, c_2Ebinary__ieee_2Efloat__negate: (!> [A_27t:$tType,A_27w:$tType]: ((((tyop_2Ebinary__ieee_2Efloat @ A_27t) @ A_27w) > ((tyop_2Ebinary__ieee_2Efloat @ A_27t) @ A_27w))))).
% 1.63/1.32 thf(c_2Ebinary__ieee_2Efloat__plus__min, type, c_2Ebinary__ieee_2Efloat__plus__min: (!> [A_27t:$tType,A_27w:$tType]: (((tyop_2Ebool_2Eitself @ ((tyop_2Epair_2Eprod @ A_27t) @ A_27w)) > ((tyop_2Ebinary__ieee_2Efloat @ A_27t) @ A_27w))))).
% 1.63/1.32 thf(c_2Ebinary__ieee_2Efloat__to__real, type, c_2Ebinary__ieee_2Efloat__to__real: (!> [A_27t:$tType,A_27w:$tType]: ((((tyop_2Ebinary__ieee_2Efloat @ A_27t) @ A_27w) > tyop_2Erealax_2Ereal)))).
% 1.63/1.32 thf(c_2Erealax_2Ereal__neg, type, c_2Erealax_2Ereal__neg: (tyop_2Erealax_2Ereal > tyop_2Erealax_2Ereal)).
% 1.63/1.32 thf(c_2Ebool_2Ethe__value, type, c_2Ebool_2Ethe__value: (!> [A_27a:$tType]: ((tyop_2Ebool_2Eitself @ A_27a)))).
% 1.63/1.32 thf(c_2Ebinary__ieee_2Eulp, type, c_2Ebinary__ieee_2Eulp: (!> [A_27t:$tType,A_27w:$tType]: (((tyop_2Ebool_2Eitself @ ((tyop_2Epair_2Eprod @ A_27t) @ A_27w)) > tyop_2Erealax_2Ereal)))).
% 1.63/1.32 thf(c_2Ebool_2E_7E, type, c_2Ebool_2E_7E: ($o > $o)).
% 1.63/1.32 thf(logicdef_2E_2F_5C, axiom, (! [V0:$o,V1:$o]: ((((c_2Ebool_2E_2F_5C @ V0) @ V1) <=> (V0 & V1))))).
% 1.63/1.32 thf(logicdef_2E_5C_2F, axiom, (! [V0:$o,V1:$o]: ((((c_2Ebool_2E_5C_2F @ V0) @ V1) <=> (V0 | V1))))).
% 1.63/1.32 thf(logicdef_2E_7E, axiom, (! [V0:$o]: (((c_2Ebool_2E_7E @ V0) <=> ((~) @ V0))))).
% 1.63/1.32 thf(logicdef_2E_3D_3D_3E, axiom, (! [V0:$o,V1:$o]: ((((c_2Emin_2E_3D_3D_3E @ V0) @ V1) <=> (V0 => V1))))).
% 1.63/1.32 thf(logicdef_2E_3D, axiom, (! [A_27a:$tType,V0:A_27a,V1:A_27a]: (((((c_2Emin_2E_3D @ A_27a) @ V0) @ V1) <=> (V0 = V1))))).
% 1.63/1.32 thf(quantdef_2E_21, axiom, (! [A_27a:$tType,V0f:(A_27a > $o)]: ((((c_2Ebool_2E_21 @ A_27a) @ V0f) <=> (! [V1x:A_27a]: ((V0f @ V1x))))))).
% 1.63/1.32 thf(quantdef_2E_3F, axiom, (! [A_27a:$tType,V0f:(A_27a > $o)]: ((((c_2Ebool_2E_3F @ A_27a) @ V0f) <=> (? [V1x:A_27a]: ((V0f @ V1x))))))).
% 1.63/1.32 thf(thm_2Ebinary__ieee_2Efloat__to__real__negate, axiom, (! [A_27a:$tType,A_27b:$tType,V0x:((tyop_2Ebinary__ieee_2Efloat @ A_27a) @ A_27b)]: (((((c_2Ebinary__ieee_2Efloat__to__real @ A_27a) @ A_27b) @ (((c_2Ebinary__ieee_2Efloat__negate @ A_27a) @ A_27b) @ V0x)) = (c_2Erealax_2Ereal__neg @ (((c_2Ebinary__ieee_2Efloat__to__real @ A_27a) @ A_27b) @ V0x)))))).
% 1.63/1.32 thf(thm_2Ebinary__ieee_2Eulp, axiom, (! [A_27t:$tType,A_27w:$tType]: (((((c_2Ebinary__ieee_2Eulp @ A_27t) @ A_27w) @ (c_2Ebool_2Ethe__value @ ((tyop_2Epair_2Eprod @ A_27t) @ A_27w))) = (((c_2Ebinary__ieee_2Efloat__to__real @ A_27t) @ A_27w) @ (((c_2Ebinary__ieee_2Efloat__plus__min @ A_27t) @ A_27w) @ (c_2Ebool_2Ethe__value @ ((tyop_2Epair_2Eprod @ A_27t) @ A_27w)))))))).
% 1.63/1.32 thf(thm_2Ebool_2ETRUTH, axiom, c_2Ebool_2ET).
% 1.63/1.32 thf(thm_2Ebool_2EREFL__CLAUSE, axiom, (! [A_27a:$tType,V0x:A_27a]: (((V0x = V0x) <=> c_2Ebool_2ET)))).
% 1.63/1.32 thf(thm_2Ebinary__ieee_2Eneg__ulp, conjecture, (! [A_27t:$tType,A_27w:$tType]: (((c_2Erealax_2Ereal__neg @ (((c_2Ebinary__ieee_2Eulp @ A_27t) @ A_27w) @ (c_2Ebool_2Ethe__value @ ((tyop_2Epair_2Eprod @ A_27t) @ A_27w)))) = (((c_2Ebinary__ieee_2Efloat__to__real @ A_27t) @ A_27w) @ (((c_2Ebinary__ieee_2Efloat__negate @ A_27t) @ A_27w) @ (((c_2Ebinary__ieee_2Efloat__plus__min @ A_27t) @ A_27w) @ (c_2Ebool_2Ethe__value @ ((tyop_2Epair_2Eprod @ A_27t) @ A_27w))))))))).
% 1.63/1.32 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.fHyVCk72Mw/DTF2DTF31460.p
% 1.63/1.32 ------------------------
% 1.63/1.33 ---- Cleaned THF ---
% 1.63/1.33 thf(tyop_2Ebinary__ieee_2Efloat,type,
% 1.63/1.33 tyop_2Ebinary__ieee_2Efloat: $tType > $tType > $tType ).
% 1.63/1.33
% 1.63/1.33 thf(tyop_2Ebool_2Eitself,type,
% 1.63/1.33 tyop_2Ebool_2Eitself: $tType > $tType ).
% 1.63/1.33
% 1.63/1.33 thf(tyop_2Emin_2Ebool,type,
% 1.63/1.33 tyop_2Emin_2Ebool: $tType ).
% 1.63/1.33
% 1.63/1.33 thf(tyop_2Emin_2Efun,type,
% 1.63/1.33 tyop_2Emin_2Efun: $tType > $tType > $tType ).
% 1.63/1.33
% 1.63/1.33 thf(tyop_2Epair_2Eprod,type,
% 1.63/1.33 tyop_2Epair_2Eprod: $tType > $tType > $tType ).
% 1.63/1.33
% 1.63/1.33 thf(tyop_2Erealax_2Ereal,type,
% 1.63/1.33 tyop_2Erealax_2Ereal: $tType ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Ebool_2E_21,type,
% 1.63/1.33 c_2Ebool_2E_21:
% 1.63/1.33 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Ebool_2E_2F_5C,type,
% 1.63/1.33 c_2Ebool_2E_2F_5C: $o > $o > $o ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Emin_2E_3D,type,
% 1.63/1.33 c_2Emin_2E_3D:
% 1.63/1.33 !>[A_27a: $tType] : ( A_27a > A_27a > $o ) ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Emin_2E_3D_3D_3E,type,
% 1.63/1.33 c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Ebool_2E_3F,type,
% 1.63/1.33 c_2Ebool_2E_3F:
% 1.63/1.33 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Ebool_2ET,type,
% 1.63/1.33 c_2Ebool_2ET: $o ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Ebool_2E_5C_2F,type,
% 1.63/1.33 c_2Ebool_2E_5C_2F: $o > $o > $o ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Ebinary__ieee_2Efloat__negate,type,
% 1.63/1.33 c_2Ebinary__ieee_2Efloat__negate:
% 1.63/1.33 !>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Ebinary__ieee_2Efloat__plus__min,type,
% 1.63/1.33 c_2Ebinary__ieee_2Efloat__plus__min:
% 1.63/1.33 !>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Ebinary__ieee_2Efloat__to__real,type,
% 1.63/1.33 c_2Ebinary__ieee_2Efloat__to__real:
% 1.63/1.33 !>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > tyop_2Erealax_2Ereal ) ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Erealax_2Ereal__neg,type,
% 1.63/1.33 c_2Erealax_2Ereal__neg: tyop_2Erealax_2Ereal > tyop_2Erealax_2Ereal ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Ebool_2Ethe__value,type,
% 1.63/1.33 c_2Ebool_2Ethe__value:
% 1.63/1.33 !>[A_27a: $tType] : ( tyop_2Ebool_2Eitself @ A_27a ) ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Ebinary__ieee_2Eulp,type,
% 1.63/1.33 c_2Ebinary__ieee_2Eulp:
% 1.63/1.33 !>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) > tyop_2Erealax_2Ereal ) ).
% 1.63/1.33
% 1.63/1.33 thf(c_2Ebool_2E_7E,type,
% 1.63/1.33 c_2Ebool_2E_7E: $o > $o ).
% 1.63/1.33
% 1.63/1.33 thf(logicdef_2E_2F_5C,axiom,
% 1.63/1.33 ! [V0: $o,V1: $o] :
% 1.63/1.33 ( ( c_2Ebool_2E_2F_5C @ V0 @ V1 )
% 1.63/1.33 <=> ( V0
% 1.63/1.33 & V1 ) ) ).
% 1.63/1.33
% 1.63/1.33 thf(logicdef_2E_5C_2F,axiom,
% 1.63/1.33 ! [V0: $o,V1: $o] :
% 1.63/1.33 ( ( c_2Ebool_2E_5C_2F @ V0 @ V1 )
% 1.63/1.33 <=> ( V0
% 1.63/1.33 | V1 ) ) ).
% 1.63/1.33
% 1.63/1.33 thf(logicdef_2E_7E,axiom,
% 1.63/1.33 ! [V0: $o] :
% 1.63/1.33 ( ( c_2Ebool_2E_7E @ V0 )
% 1.63/1.33 <=> ( (~) @ V0 ) ) ).
% 1.63/1.33
% 1.63/1.33 thf(logicdef_2E_3D_3D_3E,axiom,
% 1.63/1.33 ! [V0: $o,V1: $o] :
% 1.63/1.33 ( ( c_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 1.63/1.33 <=> ( V0
% 1.63/1.33 => V1 ) ) ).
% 1.63/1.33
% 1.63/1.33 thf(logicdef_2E_3D,axiom,
% 1.63/1.33 ! [A_27a: $tType,V0: A_27a,V1: A_27a] :
% 1.63/1.33 ( ( c_2Emin_2E_3D @ A_27a @ V0 @ V1 )
% 1.63/1.33 <=> ( V0 = V1 ) ) ).
% 1.63/1.33
% 1.63/1.33 thf(quantdef_2E_21,axiom,
% 1.63/1.33 ! [A_27a: $tType,V0f: A_27a > $o] :
% 1.63/1.33 ( ( c_2Ebool_2E_21 @ A_27a @ V0f )
% 1.63/1.33 <=> ! [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 1.63/1.33
% 1.63/1.33 thf(quantdef_2E_3F,axiom,
% 1.63/1.33 ! [A_27a: $tType,V0f: A_27a > $o] :
% 1.63/1.33 ( ( c_2Ebool_2E_3F @ A_27a @ V0f )
% 1.63/1.33 <=> ? [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 1.63/1.33
% 1.63/1.33 thf(thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
% 1.63/1.33 ! [A_27a: $tType,A_27b: $tType,V0x: tyop_2Ebinary__ieee_2Efloat @ A_27a @ A_27b] :
% 1.63/1.33 ( ( c_2Ebinary__ieee_2Efloat__to__real @ A_27a @ A_27b @ ( c_2Ebinary__ieee_2Efloat__negate @ A_27a @ A_27b @ V0x ) )
% 1.63/1.33 = ( c_2Erealax_2Ereal__neg @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27a @ A_27b @ V0x ) ) ) ).
% 1.63/1.33
% 1.63/1.33 thf(thm_2Ebinary__ieee_2Eulp,axiom,
% 1.63/1.33 ! [A_27t: $tType,A_27w: $tType] :
% 1.63/1.33 ( ( c_2Ebinary__ieee_2Eulp @ A_27t @ A_27w @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) )
% 1.63/1.33 = ( c_2Ebinary__ieee_2Efloat__to__real @ A_27t @ A_27w @ ( c_2Ebinary__ieee_2Efloat__plus__min @ A_27t @ A_27w @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) ) ).
% 1.63/1.33
% 1.63/1.33 thf(thm_2Ebool_2ETRUTH,axiom,
% 1.63/1.33 c_2Ebool_2ET ).
% 1.63/1.33
% 1.63/1.33 thf(thm_2Ebool_2EREFL__CLAUSE,axiom,
% 1.63/1.33 ! [A_27a: $tType,V0x: A_27a] :
% 1.63/1.33 ( ( V0x = V0x )
% 1.63/1.33 <=> c_2Ebool_2ET ) ).
% 1.63/1.33
% 1.63/1.33 thf(thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
% 1.63/1.33 ! [A_27t: $tType,A_27w: $tType] :
% 1.63/1.33 ( ( c_2Erealax_2Ereal__neg @ ( c_2Ebinary__ieee_2Eulp @ A_27t @ A_27w @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) ) )
% 1.63/1.33 = ( c_2Ebinary__ieee_2Efloat__to__real @ A_27t @ A_27w @ ( c_2Ebinary__ieee_2Efloat__negate @ A_27t @ A_27w @ ( c_2Ebinary__ieee_2Efloat__plus__min @ A_27t @ A_27w @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) ) ) ).
% 1.63/1.33 ------------------------
% 1.63/1.35 % (31748)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_31460 for (2999ds/183Mi)
% 1.63/1.35 % (31749)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_31460 for (2999ds/4Mi)
% 1.63/1.35 % (31749)Instruction limit reached!
% 1.63/1.35 % (31749)------------------------------
% 1.63/1.35 % (31749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.35 % (31749)Termination reason: Unknown
% 1.63/1.35 % (31749)Termination phase: Saturation
% 1.63/1.35
% 1.63/1.35 % (31749)Memory used [KB]: 5500
% 1.63/1.35 % (31749)Time elapsed: 0.003 s
% 1.63/1.35 % (31749)Instructions burned: 5 (million)
% 1.63/1.35 % (31749)------------------------------
% 1.63/1.35 % (31749)------------------------------
% 1.63/1.35 % (31750)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_31460 for (2999ds/27Mi)
% 1.63/1.35 % (31751)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_31460 for (2999ds/2Mi)
% 1.63/1.35 % (31752)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_31460 for (2999ds/2Mi)
% 1.63/1.35 % (31753)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_31460 for (2999ds/275Mi)
% 1.63/1.35 % (31754)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_31460 for (2999ds/18Mi)
% 1.63/1.35 % (31751)Instruction limit reached!
% 1.63/1.35 % (31751)------------------------------
% 1.63/1.35 % (31751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.35 % (31751)Termination reason: Unknown
% 1.63/1.35 % (31751)Termination phase: Preprocessing 3
% 1.63/1.35
% 1.63/1.35 % (31751)Memory used [KB]: 1023
% 1.63/1.35 % (31751)Time elapsed: 0.003 s
% 1.63/1.35 % (31751)Instructions burned: 2 (million)
% 1.63/1.35 % (31751)------------------------------
% 1.63/1.35 % (31751)------------------------------
% 1.63/1.35 % (31752)Instruction limit reached!
% 1.63/1.35 % (31752)------------------------------
% 1.63/1.35 % (31752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.35 % (31752)Termination reason: Unknown
% 1.63/1.35 % (31752)Termination phase: shuffling
% 1.63/1.35
% 1.63/1.35 % (31752)Memory used [KB]: 1023
% 1.63/1.35 % (31752)Time elapsed: 0.003 s
% 1.63/1.35 % (31752)Instructions burned: 2 (million)
% 1.63/1.35 % (31752)------------------------------
% 1.63/1.35 % (31752)------------------------------
% 1.63/1.36 % (31753)First to succeed.
% 1.63/1.36 % (31753)Refutation found. Thanks to Tanya!
% 1.63/1.36 % SZS status Theorem for DTF2THF_31460
% 1.63/1.36 % SZS output start Proof for DTF2THF_31460
% 1.63/1.36 thf(type_def_6, type, tyop_2Ebinary__ieee_2Efloat: ($tType * $tType) > $tType).
% 1.63/1.36 thf(type_def_7, type, tyop_2Epair_2Eprod: ($tType * $tType) > $tType).
% 1.63/1.36 thf(type_def_8, type, tyop_2Ebool_2Eitself: ($tType) > $tType).
% 1.63/1.36 thf(type_def_9, type, tyop_2Erealax_2Ereal: $tType).
% 1.63/1.36 thf(type_def_10, type, sK0: $tType).
% 1.63/1.36 thf(type_def_11, type, sK1: $tType).
% 1.63/1.36 thf(func_def_0, type, tyop_2Ebinary__ieee_2Efloat: ($tType * $tType) > $tType).
% 1.63/1.36 thf(func_def_1, type, tyop_2Ebool_2Eitself: ($tType) > $tType).
% 1.63/1.36 thf(func_def_2, type, tyop_2Emin_2Ebool: $tType).
% 1.63/1.36 thf(func_def_3, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 1.63/1.36 thf(func_def_4, type, tyop_2Epair_2Eprod: ($tType * $tType) > $tType).
% 1.63/1.36 thf(func_def_5, type, tyop_2Erealax_2Ereal: $tType).
% 1.63/1.36 thf(func_def_6, type, c_2Ebool_2E_21: !>[X0: $tType]:((X0 > $o) > $o)).
% 1.63/1.36 thf(func_def_7, type, c_2Ebool_2E_2F_5C: $o > $o > $o).
% 1.63/1.36 thf(func_def_8, type, c_2Emin_2E_3D: !>[X0: $tType]:(X0 > X0 > $o)).
% 1.63/1.36 thf(func_def_9, type, c_2Emin_2E_3D_3D_3E: $o > $o > $o).
% 1.63/1.36 thf(func_def_10, type, c_2Ebool_2E_3F: !>[X0: $tType]:((X0 > $o) > $o)).
% 1.63/1.36 thf(func_def_12, type, c_2Ebool_2E_5C_2F: $o > $o > $o).
% 1.63/1.36 thf(func_def_13, type, c_2Ebinary__ieee_2Efloat__negate: !>[X0: $tType, X1: $tType]:(tyop_2Ebinary__ieee_2Efloat @ X0 @ X1 > tyop_2Ebinary__ieee_2Efloat @ X0 @ X1)).
% 1.63/1.36 thf(func_def_14, type, c_2Ebinary__ieee_2Efloat__plus__min: !>[X0: $tType, X1: $tType]:(tyop_2Ebool_2Eitself @ tyop_2Epair_2Eprod @ X0 @ X1 > tyop_2Ebinary__ieee_2Efloat @ X0 @ X1)).
% 1.63/1.36 thf(func_def_15, type, c_2Ebinary__ieee_2Efloat__to__real: !>[X0: $tType, X1: $tType]:(tyop_2Ebinary__ieee_2Efloat @ X0 @ X1 > tyop_2Erealax_2Ereal)).
% 1.63/1.36 thf(func_def_16, type, c_2Erealax_2Ereal__neg: tyop_2Erealax_2Ereal > tyop_2Erealax_2Ereal).
% 1.63/1.36 thf(func_def_17, type, c_2Ebool_2Ethe__value: !>[X0: $tType]:(tyop_2Ebool_2Eitself @ X0)).
% 1.63/1.36 thf(func_def_18, type, c_2Ebinary__ieee_2Eulp: !>[X0: $tType, X1: $tType]:(tyop_2Ebool_2Eitself @ tyop_2Epair_2Eprod @ X0 @ X1 > tyop_2Erealax_2Ereal)).
% 1.63/1.36 thf(func_def_19, type, c_2Ebool_2E_7E: $o > $o).
% 1.63/1.36 thf(f44,plain,(
% 1.63/1.36 $false),
% 1.63/1.36 inference(trivial_inequality_removal,[status(thm)],[f43])).
% 1.63/1.36 thf(f43,plain,(
% 1.63/1.36 ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ sK0 @ sK1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK0 @ sK1)) != (c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ sK0 @ sK1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK0 @ sK1)))),
% 1.63/1.36 inference(forward_demodulation,[status(thm)],[f42,f40])).
% 1.63/1.36 thf(f40,plain,(
% 1.63/1.36 ( ! [X1 : $tType,X0 : $tType] : (((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1)) = (c_2Ebinary__ieee_2Eulp @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1))) )),
% 1.63/1.36 inference(cnf_transformation,[status(thm)],[f34])).
% 1.63/1.36 thf(f34,plain,(
% 1.63/1.36 ! [X0 : $tType,X1 : $tType] : ((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1)) = (c_2Ebinary__ieee_2Eulp @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1))),
% 1.63/1.36 inference(rectify,[status(thm)],[f9])).
% 1.63/1.36 thf(f9,axiom,(
% 1.63/1.36 ! [X1 : $tType,X2 : $tType] : ((c_2Ebinary__ieee_2Eulp @ X1 @ X2 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X1 @ X2) = (c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X2 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X2 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X1 @ X2)))),
% 1.63/1.36 file('/export/starexec/sandbox2/tmp/tmp.fHyVCk72Mw/DTF2THF_31460.p',thm_2Ebinary__ieee_2Eulp)).
% 1.63/1.36 thf(f42,plain,(
% 1.63/1.36 ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Efloat__to__real @ sK0 @ sK1 @ (c_2Ebinary__ieee_2Efloat__plus__min @ sK0 @ sK1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK0 @ sK1))) != (c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ sK0 @ sK1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK0 @ sK1)))),
% 1.63/1.36 inference(superposition,[status(thm)],[f39,f41])).
% 1.63/1.36 thf(f41,plain,(
% 1.63/1.36 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Ebinary__ieee_2Efloat @ X0 @ X1] : (((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 @ X2)) = (c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ X2)))) )),
% 1.63/1.36 inference(cnf_transformation,[status(thm)],[f35])).
% 1.63/1.36 thf(f35,plain,(
% 1.63/1.36 ! [X0 : $tType,X1 : $tType,X2 : tyop_2Ebinary__ieee_2Efloat @ X0 @ X1] : ((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 @ X2)) = (c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ X2)))),
% 1.63/1.36 inference(rectify,[status(thm)],[f8])).
% 1.63/1.36 thf(f8,axiom,(
% 1.63/1.36 ! [X0 : $tType,X7 : $tType,X8 : tyop_2Ebinary__ieee_2Efloat @ X0 @ X7] : ((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X7 @ (c_2Ebinary__ieee_2Efloat__negate @ X0 @ X7 @ X8)) = (c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X7 @ X8)))),
% 1.63/1.36 file('/export/starexec/sandbox2/tmp/tmp.fHyVCk72Mw/DTF2THF_31460.p',thm_2Ebinary__ieee_2Efloat__to__real__negate)).
% 1.63/1.36 thf(f39,plain,(
% 1.63/1.36 ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ sK0 @ sK1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK0 @ sK1)) != (c_2Ebinary__ieee_2Efloat__to__real @ sK0 @ sK1 @ (c_2Ebinary__ieee_2Efloat__negate @ sK0 @ sK1 @ (c_2Ebinary__ieee_2Efloat__plus__min @ sK0 @ sK1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK0 @ sK1))))),
% 1.63/1.36 inference(cnf_transformation,[status(thm)],[f38])).
% 1.63/1.36 thf(f38,plain,(
% 1.63/1.36 ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ sK0 @ sK1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK0 @ sK1)) != (c_2Ebinary__ieee_2Efloat__to__real @ sK0 @ sK1 @ (c_2Ebinary__ieee_2Efloat__negate @ sK0 @ sK1 @ (c_2Ebinary__ieee_2Efloat__plus__min @ sK0 @ sK1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK0 @ sK1))))),
% 1.63/1.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f36,f37])).
% 1.63/1.36 thf(f37,plain,(
% 1.63/1.36 ? [X0 : $tType,X1 : $tType] : ((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1))) != (c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1))) => ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ sK0 @ sK1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK0 @ sK1)) != (c_2Ebinary__ieee_2Efloat__to__real @ sK0 @ sK1 @ (c_2Ebinary__ieee_2Efloat__negate @ sK0 @ sK1 @ (c_2Ebinary__ieee_2Efloat__plus__min @ sK0 @ sK1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK0 @ sK1))))),
% 1.63/1.36 introduced(definition,[],[choice_axiom])).
% 1.63/1.36 thf(f36,plain,(
% 1.63/1.36 ? [X0 : $tType,X1 : $tType] : ((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1))) != (c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1)))),
% 1.63/1.36 inference(ennf_transformation,[status(thm)],[f33])).
% 1.63/1.36 thf(f33,plain,(
% 1.63/1.36 ~! [X0 : $tType,X1 : $tType] : ((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1))) = (c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1)))),
% 1.63/1.36 inference(rectify,[status(thm)],[f13])).
% 1.63/1.36 thf(f13,negated_conjecture,(
% 1.63/1.36 ~! [X1 : $tType,X2 : $tType] : ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ X1 @ X2 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X1 @ X2)) = (c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X2 @ (c_2Ebinary__ieee_2Efloat__negate @ X1 @ X2 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X2 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X1 @ X2))))),
% 1.63/1.36 inference(negated_conjecture,[status(cth)],[f12])).
% 1.63/1.36 thf(f12,conjecture,(
% 1.63/1.36 ! [X1 : $tType,X2 : $tType] : ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ X1 @ X2 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X1 @ X2)) = (c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X2 @ (c_2Ebinary__ieee_2Efloat__negate @ X1 @ X2 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X2 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X1 @ X2))))),
% 1.63/1.36 file('/export/starexec/sandbox2/tmp/tmp.fHyVCk72Mw/DTF2THF_31460.p',thm_2Ebinary__ieee_2Eneg__ulp)).
% 1.63/1.36 % SZS output end Proof for DTF2THF_31460
% 1.63/1.36 % (31753)------------------------------
% 1.63/1.36 % (31753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.36 % (31753)Termination reason: Refutation
% 1.63/1.36
% 1.63/1.36 % (31753)Memory used [KB]: 5500
% 1.63/1.36 % (31753)Time elapsed: 0.005 s
% 1.63/1.36 % (31753)Instructions burned: 2 (million)
% 1.63/1.36 % (31753)------------------------------
% 1.63/1.36 % (31753)------------------------------
% 1.63/1.36 % (31747)Success in time 0.021 s
%------------------------------------------------------------------------------