TSTP Solution File: KRS068+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS068+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.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 Sep 17 17:44:35 EDT 2022
% Result : Unsatisfiable 0.18s 0.37s
% Output : Proof 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 37
% Syntax : Number of formulae : 76 ( 16 unt; 6 typ; 0 def)
% Number of atoms : 342 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 448 ( 203 ~; 178 |; 0 &)
% ( 37 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 27 ( 27 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 5 >; 1 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 130 ( 119 !; 0 ?; 130 :)
% Comments :
%------------------------------------------------------------------------------
tff(rr_type,type,
rr: ( $i * $i ) > $o ).
tff(tptp_fun_Y_0_type,type,
tptp_fun_Y_0: $i > $i ).
tff(i2003_11_14_17_18_23845_type,type,
i2003_11_14_17_18_23845: $i ).
tff(cc_type,type,
cc: $i > $o ).
tff(cd_type,type,
cd: $i > $o ).
tff(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
tff(1,plain,
( cUnsatisfiable(i2003_11_14_17_18_23845)
<=> cUnsatisfiable(i2003_11_14_17_18_23845) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
cUnsatisfiable(i2003_11_14_17_18_23845),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(3,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [X: $i] :
refl(
( ( ~ cUnsatisfiable(X)
| ~ cd(X) )
<=> ( ~ cUnsatisfiable(X)
| ~ cd(X) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [X: $i] :
( ~ cUnsatisfiable(X)
| ~ cd(X) )
<=> ! [X: $i] :
( ~ cUnsatisfiable(X)
| ~ cd(X) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [X: $i] :
( ~ cUnsatisfiable(X)
| ~ cd(X) )
<=> ! [X: $i] :
( ~ cUnsatisfiable(X)
| ~ cd(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
^ [X: $i] :
rewrite(
( ( cUnsatisfiable(X)
=> ~ cd(X) )
<=> ( ~ cUnsatisfiable(X)
| ~ cd(X) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [X: $i] :
( cUnsatisfiable(X)
=> ~ cd(X) )
<=> ! [X: $i] :
( ~ cUnsatisfiable(X)
| ~ cd(X) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,axiom,
! [X: $i] :
( cUnsatisfiable(X)
=> ~ cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(10,plain,
! [X: $i] :
( ~ cUnsatisfiable(X)
| ~ cd(X) ),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
! [X: $i] :
( ~ cUnsatisfiable(X)
| ~ cd(X) ),
inference(modus_ponens,[status(thm)],[10,6]) ).
tff(12,plain,
! [X: $i] :
( ~ cUnsatisfiable(X)
| ~ cd(X) ),
inference(skolemize,[status(sab)],[11]) ).
tff(13,plain,
! [X: $i] :
( ~ cUnsatisfiable(X)
| ~ cd(X) ),
inference(modus_ponens,[status(thm)],[12,5]) ).
tff(14,plain,
( ( ~ ! [X: $i] :
( ~ cUnsatisfiable(X)
| ~ cd(X) )
| ~ cUnsatisfiable(i2003_11_14_17_18_23845)
| ~ cd(i2003_11_14_17_18_23845) )
<=> ( ~ ! [X: $i] :
( ~ cUnsatisfiable(X)
| ~ cd(X) )
| ~ cUnsatisfiable(i2003_11_14_17_18_23845)
| ~ cd(i2003_11_14_17_18_23845) ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,plain,
( ~ ! [X: $i] :
( ~ cUnsatisfiable(X)
| ~ cd(X) )
| ~ cUnsatisfiable(i2003_11_14_17_18_23845)
| ~ cd(i2003_11_14_17_18_23845) ),
inference(quant_inst,[status(thm)],]) ).
tff(16,plain,
( ~ ! [X: $i] :
( ~ cUnsatisfiable(X)
| ~ cd(X) )
| ~ cUnsatisfiable(i2003_11_14_17_18_23845)
| ~ cd(i2003_11_14_17_18_23845) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
~ cd(i2003_11_14_17_18_23845),
inference(unit_resolution,[status(thm)],[16,13,3]) ).
tff(18,plain,
^ [X: $i] :
refl(
( ( cd(X)
| ~ ( cc(tptp_fun_Y_0(X))
| ~ rr(X,tptp_fun_Y_0(X)) ) )
<=> ( cd(X)
| ~ ( cc(tptp_fun_Y_0(X))
| ~ rr(X,tptp_fun_Y_0(X)) ) ) )),
inference(bind,[status(th)],]) ).
tff(19,plain,
( ! [X: $i] :
( cd(X)
| ~ ( cc(tptp_fun_Y_0(X))
| ~ rr(X,tptp_fun_Y_0(X)) ) )
<=> ! [X: $i] :
( cd(X)
| ~ ( cc(tptp_fun_Y_0(X))
| ~ rr(X,tptp_fun_Y_0(X)) ) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,plain,
( ! [X: $i] :
( cd(X)
| ~ ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )
<=> ! [X: $i] :
( cd(X)
| ~ ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(21,plain,
^ [X: $i] :
trans(
monotonicity(
quant_intro(
proof_bind(
^ [Y: $i] :
rewrite(
( ( rr(X,Y)
=> cc(Y) )
<=> ( cc(Y)
| ~ rr(X,Y) ) ))),
( ! [Y: $i] :
( rr(X,Y)
=> cc(Y) )
<=> ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )),
( ( ! [Y: $i] :
( rr(X,Y)
=> cc(Y) )
=> cd(X) )
<=> ( ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) )
=> cd(X) ) )),
rewrite(
( ( ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) )
=> cd(X) )
<=> ( cd(X)
| ~ ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) )),
( ( ! [Y: $i] :
( rr(X,Y)
=> cc(Y) )
=> cd(X) )
<=> ( cd(X)
| ~ ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(22,plain,
( ! [X: $i] :
( ! [Y: $i] :
( rr(X,Y)
=> cc(Y) )
=> cd(X) )
<=> ! [X: $i] :
( cd(X)
| ~ ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,axiom,
! [X: $i] :
( ! [Y: $i] :
( rr(X,Y)
=> cc(Y) )
=> cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
tff(24,plain,
! [X: $i] :
( cd(X)
| ~ ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [X: $i] :
( cd(X)
| ~ ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
! [X: $i] :
( cd(X)
| ~ ( cc(tptp_fun_Y_0(X))
| ~ rr(X,tptp_fun_Y_0(X)) ) ),
inference(skolemize,[status(sab)],[25]) ).
tff(27,plain,
! [X: $i] :
( cd(X)
| ~ ( cc(tptp_fun_Y_0(X))
| ~ rr(X,tptp_fun_Y_0(X)) ) ),
inference(modus_ponens,[status(thm)],[26,19]) ).
tff(28,plain,
( ( ~ ! [X: $i] :
( cd(X)
| ~ ( cc(tptp_fun_Y_0(X))
| ~ rr(X,tptp_fun_Y_0(X)) ) )
| cd(i2003_11_14_17_18_23845)
| ~ ( cc(tptp_fun_Y_0(i2003_11_14_17_18_23845))
| ~ rr(i2003_11_14_17_18_23845,tptp_fun_Y_0(i2003_11_14_17_18_23845)) ) )
<=> ( ~ ! [X: $i] :
( cd(X)
| ~ ( cc(tptp_fun_Y_0(X))
| ~ rr(X,tptp_fun_Y_0(X)) ) )
| cd(i2003_11_14_17_18_23845)
| ~ ( cc(tptp_fun_Y_0(i2003_11_14_17_18_23845))
| ~ rr(i2003_11_14_17_18_23845,tptp_fun_Y_0(i2003_11_14_17_18_23845)) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(29,plain,
( ~ ! [X: $i] :
( cd(X)
| ~ ( cc(tptp_fun_Y_0(X))
| ~ rr(X,tptp_fun_Y_0(X)) ) )
| cd(i2003_11_14_17_18_23845)
| ~ ( cc(tptp_fun_Y_0(i2003_11_14_17_18_23845))
| ~ rr(i2003_11_14_17_18_23845,tptp_fun_Y_0(i2003_11_14_17_18_23845)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(30,plain,
( ~ ! [X: $i] :
( cd(X)
| ~ ( cc(tptp_fun_Y_0(X))
| ~ rr(X,tptp_fun_Y_0(X)) ) )
| cd(i2003_11_14_17_18_23845)
| ~ ( cc(tptp_fun_Y_0(i2003_11_14_17_18_23845))
| ~ rr(i2003_11_14_17_18_23845,tptp_fun_Y_0(i2003_11_14_17_18_23845)) ) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
~ ( cc(tptp_fun_Y_0(i2003_11_14_17_18_23845))
| ~ rr(i2003_11_14_17_18_23845,tptp_fun_Y_0(i2003_11_14_17_18_23845)) ),
inference(unit_resolution,[status(thm)],[30,27,17]) ).
tff(32,plain,
( cc(tptp_fun_Y_0(i2003_11_14_17_18_23845))
| ~ rr(i2003_11_14_17_18_23845,tptp_fun_Y_0(i2003_11_14_17_18_23845))
| rr(i2003_11_14_17_18_23845,tptp_fun_Y_0(i2003_11_14_17_18_23845)) ),
inference(tautology,[status(thm)],]) ).
tff(33,plain,
rr(i2003_11_14_17_18_23845,tptp_fun_Y_0(i2003_11_14_17_18_23845)),
inference(unit_resolution,[status(thm)],[32,31]) ).
tff(34,plain,
( cc(tptp_fun_Y_0(i2003_11_14_17_18_23845))
| ~ rr(i2003_11_14_17_18_23845,tptp_fun_Y_0(i2003_11_14_17_18_23845))
| ~ cc(tptp_fun_Y_0(i2003_11_14_17_18_23845)) ),
inference(tautology,[status(thm)],]) ).
tff(35,plain,
~ cc(tptp_fun_Y_0(i2003_11_14_17_18_23845)),
inference(unit_resolution,[status(thm)],[34,31]) ).
tff(36,plain,
^ [X: $i] :
refl(
( ( cc(X)
| ~ cUnsatisfiable(X) )
<=> ( cc(X)
| ~ cUnsatisfiable(X) ) )),
inference(bind,[status(th)],]) ).
tff(37,plain,
( ! [X: $i] :
( cc(X)
| ~ cUnsatisfiable(X) )
<=> ! [X: $i] :
( cc(X)
| ~ cUnsatisfiable(X) ) ),
inference(quant_intro,[status(thm)],[36]) ).
tff(38,plain,
( ! [X: $i] :
( cc(X)
| ~ cUnsatisfiable(X) )
<=> ! [X: $i] :
( cc(X)
| ~ cUnsatisfiable(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(39,plain,
^ [X: $i] :
rewrite(
( ( cUnsatisfiable(X)
=> cc(X) )
<=> ( cc(X)
| ~ cUnsatisfiable(X) ) )),
inference(bind,[status(th)],]) ).
tff(40,plain,
( ! [X: $i] :
( cUnsatisfiable(X)
=> cc(X) )
<=> ! [X: $i] :
( cc(X)
| ~ cUnsatisfiable(X) ) ),
inference(quant_intro,[status(thm)],[39]) ).
tff(41,axiom,
! [X: $i] :
( cUnsatisfiable(X)
=> cc(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(42,plain,
! [X: $i] :
( cc(X)
| ~ cUnsatisfiable(X) ),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
! [X: $i] :
( cc(X)
| ~ cUnsatisfiable(X) ),
inference(modus_ponens,[status(thm)],[42,38]) ).
tff(44,plain,
! [X: $i] :
( cc(X)
| ~ cUnsatisfiable(X) ),
inference(skolemize,[status(sab)],[43]) ).
tff(45,plain,
! [X: $i] :
( cc(X)
| ~ cUnsatisfiable(X) ),
inference(modus_ponens,[status(thm)],[44,37]) ).
tff(46,plain,
( ( ~ ! [X: $i] :
( cc(X)
| ~ cUnsatisfiable(X) )
| cc(i2003_11_14_17_18_23845)
| ~ cUnsatisfiable(i2003_11_14_17_18_23845) )
<=> ( ~ ! [X: $i] :
( cc(X)
| ~ cUnsatisfiable(X) )
| cc(i2003_11_14_17_18_23845)
| ~ cUnsatisfiable(i2003_11_14_17_18_23845) ) ),
inference(rewrite,[status(thm)],]) ).
tff(47,plain,
( ~ ! [X: $i] :
( cc(X)
| ~ cUnsatisfiable(X) )
| cc(i2003_11_14_17_18_23845)
| ~ cUnsatisfiable(i2003_11_14_17_18_23845) ),
inference(quant_inst,[status(thm)],]) ).
tff(48,plain,
( ~ ! [X: $i] :
( cc(X)
| ~ cUnsatisfiable(X) )
| cc(i2003_11_14_17_18_23845)
| ~ cUnsatisfiable(i2003_11_14_17_18_23845) ),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
cc(i2003_11_14_17_18_23845),
inference(unit_resolution,[status(thm)],[48,45,3]) ).
tff(50,plain,
^ [X: $i] :
refl(
( ( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )
<=> ( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(51,plain,
( ! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )
<=> ! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) ),
inference(quant_intro,[status(thm)],[50]) ).
tff(52,plain,
^ [X: $i] :
rewrite(
( ( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )
<=> ( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(53,plain,
( ! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )
<=> ! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) ),
inference(quant_intro,[status(thm)],[52]) ).
tff(54,plain,
( ! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )
<=> ! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) ),
inference(transitivity,[status(thm)],[53,51]) ).
tff(55,plain,
( ! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )
<=> ! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(56,plain,
^ [X: $i] :
trans(
monotonicity(
quant_intro(
proof_bind(
^ [Y: $i] :
rewrite(
( ( rr(X,Y)
=> cc(Y) )
<=> ( cc(Y)
| ~ rr(X,Y) ) ))),
( ! [Y: $i] :
( rr(X,Y)
=> cc(Y) )
<=> ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )),
( ( cc(X)
=> ! [Y: $i] :
( rr(X,Y)
=> cc(Y) ) )
<=> ( cc(X)
=> ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) )),
rewrite(
( ( cc(X)
=> ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )
<=> ( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) )),
( ( cc(X)
=> ! [Y: $i] :
( rr(X,Y)
=> cc(Y) ) )
<=> ( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(57,plain,
( ! [X: $i] :
( cc(X)
=> ! [Y: $i] :
( rr(X,Y)
=> cc(Y) ) )
<=> ! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ) ),
inference(quant_intro,[status(thm)],[56]) ).
tff(58,axiom,
! [X: $i] :
( cc(X)
=> ! [Y: $i] :
( rr(X,Y)
=> cc(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(59,plain,
! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ),
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,plain,
! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ),
inference(modus_ponens,[status(thm)],[59,55]) ).
tff(61,plain,
! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ),
inference(skolemize,[status(sab)],[60]) ).
tff(62,plain,
! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) ),
inference(modus_ponens,[status(thm)],[61,54]) ).
tff(63,plain,
( ( ~ ! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )
| ~ cc(i2003_11_14_17_18_23845)
| ! [Y: $i] :
( cc(Y)
| ~ rr(i2003_11_14_17_18_23845,Y) ) )
<=> ( ~ ! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )
| ~ cc(i2003_11_14_17_18_23845)
| ! [Y: $i] :
( cc(Y)
| ~ rr(i2003_11_14_17_18_23845,Y) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(64,plain,
( ~ ! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )
| ~ cc(i2003_11_14_17_18_23845)
| ! [Y: $i] :
( cc(Y)
| ~ rr(i2003_11_14_17_18_23845,Y) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(65,plain,
( ~ ! [X: $i] :
( ~ cc(X)
| ! [Y: $i] :
( cc(Y)
| ~ rr(X,Y) ) )
| ~ cc(i2003_11_14_17_18_23845)
| ! [Y: $i] :
( cc(Y)
| ~ rr(i2003_11_14_17_18_23845,Y) ) ),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
! [Y: $i] :
( cc(Y)
| ~ rr(i2003_11_14_17_18_23845,Y) ),
inference(unit_resolution,[status(thm)],[65,62,49]) ).
tff(67,plain,
( ( ~ ! [Y: $i] :
( cc(Y)
| ~ rr(i2003_11_14_17_18_23845,Y) )
| cc(tptp_fun_Y_0(i2003_11_14_17_18_23845))
| ~ rr(i2003_11_14_17_18_23845,tptp_fun_Y_0(i2003_11_14_17_18_23845)) )
<=> ( ~ ! [Y: $i] :
( cc(Y)
| ~ rr(i2003_11_14_17_18_23845,Y) )
| cc(tptp_fun_Y_0(i2003_11_14_17_18_23845))
| ~ rr(i2003_11_14_17_18_23845,tptp_fun_Y_0(i2003_11_14_17_18_23845)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(68,plain,
( ~ ! [Y: $i] :
( cc(Y)
| ~ rr(i2003_11_14_17_18_23845,Y) )
| cc(tptp_fun_Y_0(i2003_11_14_17_18_23845))
| ~ rr(i2003_11_14_17_18_23845,tptp_fun_Y_0(i2003_11_14_17_18_23845)) ),
inference(quant_inst,[status(thm)],]) ).
tff(69,plain,
( ~ ! [Y: $i] :
( cc(Y)
| ~ rr(i2003_11_14_17_18_23845,Y) )
| cc(tptp_fun_Y_0(i2003_11_14_17_18_23845))
| ~ rr(i2003_11_14_17_18_23845,tptp_fun_Y_0(i2003_11_14_17_18_23845)) ),
inference(modus_ponens,[status(thm)],[68,67]) ).
tff(70,plain,
$false,
inference(unit_resolution,[status(thm)],[69,66,35,33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : KRS068+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.11 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Sep 1 09:21:58 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.11/0.33 Usage: tptp [options] [-file:]file
% 0.11/0.33 -h, -? prints this message.
% 0.11/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.11/0.33 -m, -model generate model.
% 0.11/0.33 -p, -proof generate proof.
% 0.11/0.33 -c, -core generate unsat core of named formulas.
% 0.11/0.33 -st, -statistics display statistics.
% 0.11/0.33 -t:timeout set timeout (in second).
% 0.11/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.11/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.11/0.33 -<param>:<value> configuration parameter and value.
% 0.11/0.33 -o:<output-file> file to place output in.
% 0.18/0.37 % SZS status Unsatisfiable
% 0.18/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------