%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV028-2 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 : Sat Jun 21 05:09:00 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.42s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 26
% Syntax : Number of formulae : 59 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 167 ( 38 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 170 ( 68 ~; 79 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 6 ( 6 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 88 ( 78 !; 0 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
tff(p_LES_EQU__type,type,
p_LES_EQU_: ( $i * $i ) > $o ).
tff(n0_type,type,
n0: $i ).
tff(fwork_DOTfifo_DOTrtl_DOTlevel__type,type,
fwork_DOTfifo_DOTrtl_DOTlevel_: $i > $i ).
tff(f_ADD__type,type,
f_ADD_: ( $i * $i ) > $i ).
tff(n1_type,type,
n1: $i ).
tff(t_206_type,type,
t_206: $i ).
tff(fwork_DOTfifo_DOTrtl_DOTint__level__type,type,
fwork_DOTfifo_DOTrtl_DOTint__level_: $i > $i ).
tff(p__pred__type,type,
p__pred_: $i > $o ).
tff(fwork_DOTfifo_DOTrtl_DOTreset__type,type,
fwork_DOTfifo_DOTrtl_DOTreset_: $i > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTfifo__length__type,type,
fwork_DOTfifo_DOTrtl_DOTfifo__length_: $i ).
tff(1,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
tff(3,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [T_5: $i] :
refl(( ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) )
<=> ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [T_5: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) )
<=> ! [T_5: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [T_5: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) )
<=> ! [T_5: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,plain,
^ [T_5: $i] :
rewrite(( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) )
<=> ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) ) )),
inference(bind,[status(th)],[]) ).
tff(8,plain,
( ! [T_5: $i] :
( ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) )
<=> ! [T_5: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,axiom,
! [T_5: $i] :
( ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_12) ).
tff(10,plain,
! [T_5: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) ),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
! [T_5: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) ),
inference(modus_ponens,[status(thm)],[10,6]) ).
tff(12,plain,
! [T_5: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) ),
inference(skolemize,[status(sab)],[11]) ).
tff(13,plain,
! [T_5: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) ),
inference(modus_ponens,[status(thm)],[12,5]) ).
tff(14,plain,
( ( ~ ! [T_5: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = n0 ) )
<=> ( ~ ! [T_5: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = n0 ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,plain,
( ~ ! [T_5: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = n0 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(16,plain,
( ~ ! [T_5: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = n0 ) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = n0,
inference(unit_resolution,[status(thm)],[16,13,3]) ).
tff(18,plain,
^ [T_0: $i] :
refl(( ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) )
<=> ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) ) )),
inference(bind,[status(th)],[]) ).
tff(19,plain,
( ! [T_0: $i] : ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) )
<=> ! [T_0: $i] : ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,plain,
( ! [T_0: $i] : ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) )
<=> ! [T_0: $i] : ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,axiom,
! [T_0: $i] : ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_5) ).
tff(22,plain,
! [T_0: $i] : ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) ),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
! [T_0: $i] : ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) ),
inference(skolemize,[status(sab)],[22]) ).
tff(24,plain,
! [T_0: $i] : ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) ),
inference(modus_ponens,[status(thm)],[23,19]) ).
tff(25,plain,
( ~ ! [T_0: $i] : ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) )
| ( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(26,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(unit_resolution,[status(thm)],[25,24]) ).
tff(27,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = n0,
inference(transitivity,[status(thm)],[26,17]) ).
tff(28,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),n0)
<=> p_LES_EQU_(n0,n0) ),
inference(monotonicity,[status(thm)],[27]) ).
tff(29,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),n0)
<=> ~ p_LES_EQU_(n0,n0) ),
inference(monotonicity,[status(thm)],[28]) ).
tff(30,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
<=> ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,axiom,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
tff(32,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
<=> ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,axiom,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
tff(35,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
^ [X_98: $i,Y_99: $i,Z_100: $i] :
refl(( ( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) )
<=> ( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ) )),
inference(bind,[status(th)],[]) ).
tff(37,plain,
( ! [X_98: $i,Y_99: $i,Z_100: $i] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) )
<=> ! [X_98: $i,Y_99: $i,Z_100: $i] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ) ),
inference(quant_intro,[status(thm)],[36]) ).
tff(38,plain,
( ! [X_98: $i,Y_99: $i,Z_100: $i] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) )
<=> ! [X_98: $i,Y_99: $i,Z_100: $i] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(39,plain,
^ [X_98: $i,Y_99: $i,Z_100: $i] :
rewrite(( ( ~ p_LES_EQU_(Z_100,X_98)
| p_LES_EQU_(Y_99,X_98)
| p_LES_EQU_(Z_100,Y_99) )
<=> ( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ) )),
inference(bind,[status(th)],[]) ).
tff(40,plain,
( ! [X_98: $i,Y_99: $i,Z_100: $i] :
( ~ p_LES_EQU_(Z_100,X_98)
| p_LES_EQU_(Y_99,X_98)
| p_LES_EQU_(Z_100,Y_99) )
<=> ! [X_98: $i,Y_99: $i,Z_100: $i] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ) ),
inference(quant_intro,[status(thm)],[39]) ).
tff(41,axiom,
! [X_98: $i,Y_99: $i,Z_100: $i] :
( ~ p_LES_EQU_(Z_100,X_98)
| p_LES_EQU_(Y_99,X_98)
| p_LES_EQU_(Z_100,Y_99) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_71) ).
tff(42,plain,
! [X_98: $i,Y_99: $i,Z_100: $i] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
! [X_98: $i,Y_99: $i,Z_100: $i] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ),
inference(modus_ponens,[status(thm)],[42,38]) ).
tff(44,plain,
! [X_98: $i,Y_99: $i,Z_100: $i] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ),
inference(skolemize,[status(sab)],[43]) ).
tff(45,plain,
! [X_98: $i,Y_99: $i,Z_100: $i] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ),
inference(modus_ponens,[status(thm)],[44,37]) ).
tff(46,plain,
( ( ~ ! [X_98: $i,Y_99: $i,Z_100: $i] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) )
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),n0) )
<=> ( ~ ! [X_98: $i,Y_99: $i,Z_100: $i] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) )
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),n0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,plain,
( ~ ! [X_98: $i,Y_99: $i,Z_100: $i] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) )
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),n0) ),
inference(quant_inst,[status(thm)],[]) ).
tff(48,plain,
( ~ ! [X_98: $i,Y_99: $i,Z_100: $i] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) )
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),n0) ),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),n0),
inference(unit_resolution,[status(thm)],[48,45,35,32]) ).
tff(50,plain,
~ p_LES_EQU_(n0,n0),
inference(modus_ponens,[status(thm)],[49,29]) ).
tff(51,plain,
^ [X_106: $i] :
refl(( p_LES_EQU_(X_106,X_106)
<=> p_LES_EQU_(X_106,X_106) )),
inference(bind,[status(th)],[]) ).
tff(52,plain,
( ! [X_106: $i] : p_LES_EQU_(X_106,X_106)
<=> ! [X_106: $i] : p_LES_EQU_(X_106,X_106) ),
inference(quant_intro,[status(thm)],[51]) ).
tff(53,plain,
( ! [X_106: $i] : p_LES_EQU_(X_106,X_106)
<=> ! [X_106: $i] : p_LES_EQU_(X_106,X_106) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,axiom,
! [X_106: $i] : p_LES_EQU_(X_106,X_106),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_75) ).
tff(55,plain,
! [X_106: $i] : p_LES_EQU_(X_106,X_106),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
! [X_106: $i] : p_LES_EQU_(X_106,X_106),
inference(skolemize,[status(sab)],[55]) ).
tff(57,plain,
! [X_106: $i] : p_LES_EQU_(X_106,X_106),
inference(modus_ponens,[status(thm)],[56,52]) ).
tff(58,plain,
( ~ ! [X_106: $i] : p_LES_EQU_(X_106,X_106)
| p_LES_EQU_(n0,n0) ),
inference(quant_inst,[status(thm)],[]) ).
tff(59,plain,
$false,
inference(unit_resolution,[status(thm)],[58,57,50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV028-2 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 17:24:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.42 % SZS status Unsatisfiable
% 0.20/0.42 % SZS output start Proof
% See solution above
% 0.20/0.43 % E exiting
%------------------------------------------------------------------------------