TSTP Solution File: KRS074+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS074+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.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 17:44:37 EDT 2022
% Result : Unsatisfiable 0.20s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 50 ( 11 unt; 8 typ; 0 def)
% Number of atoms : 685 ( 0 equ)
% Maximal formula atoms : 28 ( 16 avg)
% Number of connectives : 1346 ( 717 ~; 500 |; 97 &)
% ( 29 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 14 ( 14 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 7 >; 2 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 185 ( 161 !; 18 ?; 185 :)
% Comments :
%------------------------------------------------------------------------------
tff(rs_type,type,
rs: ( $i * $i ) > $o ).
tff(i2003_11_14_17_18_59896_type,type,
i2003_11_14_17_18_59896: $i ).
tff(cp_type,type,
cp: $i > $o ).
tff(tptp_fun_Z_1_type,type,
tptp_fun_Z_1: $i > $i ).
tff(rinvS_type,type,
rinvS: ( $i * $i ) > $o ).
tff(tptp_fun_Y_0_type,type,
tptp_fun_Y_0: $i > $i ).
tff(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
tff(tptp_fun_Y_2_type,type,
tptp_fun_Y_2: $i > $i ).
tff(1,plain,
^ [X: $i] :
rewrite(
( ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) )
<=> ~ ( ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) )
<=> ! [X: $i] :
~ ( ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) ) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [X: $i] :
refl(
( ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) )
<=> ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(4,plain,
( ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) ) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
^ [X: $i] :
rewrite(
( ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) )
<=> ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(6,plain,
( ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) ) ),
inference(quant_intro,[status(thm)],[5]) ).
tff(7,plain,
( ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) ) ),
inference(transitivity,[status(thm)],[6,4]) ).
tff(8,plain,
^ [X: $i] :
trans(
monotonicity(
rewrite(
( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
& cp(tptp_fun_Z_1(X))
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) )
<=> ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) ) )),
rewrite(
( ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
~ ( rinvS(Y,Z)
& cp(Z) ) ) )
<=> ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) )),
( ( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
& cp(tptp_fun_Z_1(X))
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
~ ( rinvS(Y,Z)
& cp(Z) ) ) ) )
<=> ( ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
& ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) ) )),
rewrite(
( ( ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
& ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) )
<=> ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) ) )),
( ( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
& cp(tptp_fun_Z_1(X))
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
~ ( rinvS(Y,Z)
& cp(Z) ) ) ) )
<=> ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(9,plain,
( ! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
& cp(tptp_fun_Z_1(X))
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
~ ( rinvS(Y,Z)
& cp(Z) ) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) ) ),
inference(quant_intro,[status(thm)],[8]) ).
tff(10,plain,
^ [X: $i] :
rewrite(
( ( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
& cp(tptp_fun_Z_1(X))
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ cp(Y)
| ! [Z: $i] :
~ ( rinvS(Y,Z)
& cp(Z) ) )
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) ) ) )
<=> ( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
& cp(tptp_fun_Z_1(X))
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
~ ( rinvS(Y,Z)
& cp(Z) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
& cp(tptp_fun_Z_1(X))
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ cp(Y)
| ! [Z: $i] :
~ ( rinvS(Y,Z)
& cp(Z) ) )
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) ) ) )
<=> ! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
& cp(tptp_fun_Z_1(X))
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
~ ( rinvS(Y,Z)
& cp(Z) ) ) ) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& cp(Y)
& ? [Z: $i] :
( rinvS(Y,Z)
& cp(Z) ) )
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) )
<=> ! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& cp(Y)
& ? [Z: $i] :
( rinvS(Y,Z)
& cp(Z) ) )
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(13,plain,
^ [X: $i] :
rewrite(
( ( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& cp(Y)
& ? [Z: $i] :
( rinvS(Y,Z)
& cp(Z) ) )
& ! [Y: $i] :
( rs(X,Y)
=> ~ cp(Y) ) ) )
<=> ( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& cp(Y)
& ? [Z: $i] :
( rinvS(Y,Z)
& cp(Z) ) )
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(14,plain,
( ! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& cp(Y)
& ? [Z: $i] :
( rinvS(Y,Z)
& cp(Z) ) )
& ! [Y: $i] :
( rs(X,Y)
=> ~ cp(Y) ) ) )
<=> ! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& cp(Y)
& ? [Z: $i] :
( rinvS(Y,Z)
& cp(Z) ) )
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,axiom,
! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& cp(Y)
& ? [Z: $i] :
( rinvS(Y,Z)
& cp(Z) ) )
& ! [Y: $i] :
( rs(X,Y)
=> ~ cp(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(16,plain,
! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& cp(Y)
& ? [Z: $i] :
( rinvS(Y,Z)
& cp(Z) ) )
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& cp(Y)
& ? [Z: $i] :
( rinvS(Y,Z)
& cp(Z) ) )
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[16,12]) ).
tff(18,plain,
! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
& cp(tptp_fun_Z_1(X))
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ cp(Y)
| ! [Z: $i] :
~ ( rinvS(Y,Z)
& cp(Z) ) )
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) ) ) ),
inference(skolemize,[status(sab)],[17]) ).
tff(19,plain,
! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
& cp(tptp_fun_Z_1(X))
& ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
~ ( rinvS(Y,Z)
& cp(Z) ) ) ) ),
inference(modus_ponens,[status(thm)],[18,11]) ).
tff(20,plain,
! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) ),
inference(modus_ponens,[status(thm)],[19,9]) ).
tff(21,plain,
! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) ),
inference(modus_ponens,[status(thm)],[20,7]) ).
tff(22,plain,
! [X: $i] :
~ ( ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) ) ),
inference(modus_ponens,[status(thm)],[21,2]) ).
tff(23,plain,
( ~ ! [X: $i] :
~ ( ~ ( cUnsatisfiable(X)
| ~ ( ~ cp(tptp_fun_Y_2(X))
| ~ rs(X,tptp_fun_Y_2(X)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rinvS(tptp_fun_Y_0(X),tptp_fun_Z_1(X))
| ~ cp(tptp_fun_Z_1(X))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(X,Y) ) ) ) )
| ~ ( ~ ( cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ ( ~ cp(tptp_fun_Y_2(i2003_11_14_17_18_59896))
| ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_2(i2003_11_14_17_18_59896)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ ( ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_18_59896),tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) ) ) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(24,plain,
~ ( ~ ( cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ ( ~ cp(tptp_fun_Y_2(i2003_11_14_17_18_59896))
| ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_2(i2003_11_14_17_18_59896)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ ( ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_18_59896),tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) ) ) ) ),
inference(unit_resolution,[status(thm)],[23,22]) ).
tff(25,plain,
( ~ ( cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ ( ~ cp(tptp_fun_Y_2(i2003_11_14_17_18_59896))
| ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_2(i2003_11_14_17_18_59896)) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y)
| ! [Z: $i] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ ( ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_18_59896),tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) ) ) )
| ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ ( ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_18_59896),tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(26,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ ( ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_18_59896),tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) ) ) ),
inference(unit_resolution,[status(thm)],[25,24]) ).
tff(27,plain,
( cUnsatisfiable(i2003_11_14_17_18_59896)
<=> cUnsatisfiable(i2003_11_14_17_18_59896) ),
inference(rewrite,[status(thm)],]) ).
tff(28,axiom,
cUnsatisfiable(i2003_11_14_17_18_59896),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
tff(29,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(modus_ponens,[status(thm)],[28,27]) ).
tff(30,plain,
( ~ ( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ ( ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_18_59896),tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) ) ) )
| ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ ( ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_18_59896),tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(31,plain,
( ~ ( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ ( ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_18_59896),tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) ) ) )
| ~ ( ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_18_59896),tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) ) ) ),
inference(unit_resolution,[status(thm)],[30,29]) ).
tff(32,plain,
~ ( ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_18_59896),tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) ) ),
inference(unit_resolution,[status(thm)],[31,26]) ).
tff(33,plain,
( ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_18_59896),tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) )
| ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) ) ),
inference(tautology,[status(thm)],]) ).
tff(34,plain,
! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) ),
inference(unit_resolution,[status(thm)],[33,32]) ).
tff(35,plain,
( ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_18_59896),tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) )
| cp(tptp_fun_Y_0(i2003_11_14_17_18_59896)) ),
inference(tautology,[status(thm)],]) ).
tff(36,plain,
cp(tptp_fun_Y_0(i2003_11_14_17_18_59896)),
inference(unit_resolution,[status(thm)],[35,32]) ).
tff(37,plain,
( ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_18_59896),tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ cp(tptp_fun_Z_1(i2003_11_14_17_18_59896))
| ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) )
| rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896)) ),
inference(tautology,[status(thm)],]) ).
tff(38,plain,
rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896)),
inference(unit_resolution,[status(thm)],[37,32]) ).
tff(39,plain,
( ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) )
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896)) )
<=> ( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) )
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(40,plain,
( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) )
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896)) ),
inference(quant_inst,[status(thm)],]) ).
tff(41,plain,
( ~ ! [Y: $i] :
( ~ cp(Y)
| ~ rs(i2003_11_14_17_18_59896,Y) )
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_18_59896))
| ~ rs(i2003_11_14_17_18_59896,tptp_fun_Y_0(i2003_11_14_17_18_59896)) ),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
$false,
inference(unit_resolution,[status(thm)],[41,38,36,34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS074+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n006.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 : Thu Sep 1 09:28:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.40 % SZS status Unsatisfiable
% 0.20/0.40 % SZS output start Proof
% See solution above
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