%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR153^2 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n003.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 : Thu Oct 9 01:24:08 PM UTC 2025
% Result : Theorem 23.06s 23.61s
% Output : Proof 23.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 3 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 62 ( 23 ~; 11 |; 0 &; 18 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 10 con; 0-2 aty)
% ( 3 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(con,conjecture,
~ ! [X1: $i > $i > $o] :
( ~ ( ( X1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( X1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
=> ! [X2: $i] : ( !! @ ( X1 @ X2 ) ) ) ).
thf(h0,negated_conjecture,
! [X1: $i > $i > $o] :
( ~ ( ( X1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( X1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
=> ! [X2: $i] : ( !! @ ( X1 @ X2 ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(ax513,axiom,
( ~ p1
| p775 ),
file('<stdin>',ax513) ).
thf(pax1068,axiom,
( p1068
=> ! [X1: $i,X2: $i] : ( flSue_THFTYPE_i != X2 ) ),
file('<stdin>',pax1068) ).
thf(ax62,axiom,
( ~ p775
| p11
| p1068 ),
file('<stdin>',ax62) ).
thf(ax1778,axiom,
p1,
file('<stdin>',ax1778) ).
thf(ax1768,axiom,
~ p11,
file('<stdin>',ax1768) ).
thf(c_0_5,plain,
( ~ p1
| p775 ),
inference(fof_simplification,[status(thm)],[ax513]) ).
thf(c_0_6,plain,
! [X35: $i] :
( ~ p1068
| ( flSue_THFTYPE_i != X35 ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax1068])])])]) ).
thf(c_0_7,plain,
( ~ p775
| p11
| p1068 ),
inference(fof_simplification,[status(thm)],[ax62]) ).
thf(c_0_8,plain,
( p775
| ~ p1 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
p1,
inference(split_conjunct,[status(thm)],[ax1778]) ).
thf(c_0_10,plain,
~ p11,
inference(fof_simplification,[status(thm)],[ax1768]) ).
thf(c_0_11,plain,
! [X1: $i] :
( ~ p1068
| ( flSue_THFTYPE_i != X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_12,plain,
( p11
| p1068
| ~ p775 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_13,plain,
p775,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).
thf(c_0_14,plain,
~ p11,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
~ p1068,
inference(er,[status(thm)],[c_0_11]) ).
thf(c_0_16,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),c_0_14]),c_0_15]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h0])],[]) ).
thf(0,theorem,
~ ! [X1: $i > $i > $o] :
( ~ ( ( X1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( X1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
=> ! [X2: $i] : ( !! @ ( X1 @ X2 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CSR153^2 : TPTP v9.2.0. Released v4.1.0.
% 0.04/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 8 16:55:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 23.06/23.61 % SZS status Theorem
% 23.06/23.61 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 23.06/23.61 % Inferences: 2711
% 23.06/23.61 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------