TSTP Solution File: KRS110+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS110+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 17:44:47 EDT 2022
% Result : Unsatisfiable 0.19s 0.40s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 61
% Syntax : Number of formulae : 130 ( 26 unt; 13 typ; 0 def)
% Number of atoms : 1302 ( 0 equ)
% Maximal formula atoms : 40 ( 11 avg)
% Number of connectives : 2415 (1290 ~; 907 |; 125 &)
% ( 90 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 60 ( 60 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 12 >; 3 *; 0 +; 0 <<)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 361 ( 322 !; 21 ?; 361 :)
% Comments :
%------------------------------------------------------------------------------
tff(ra_Px1_type,type,
ra_Px1: ( $i * $i ) > $o ).
tff(tptp_fun_Y_0_type,type,
tptp_fun_Y_0: $i > $i ).
tff(i2003_11_14_17_21_12565_type,type,
i2003_11_14_17_21_12565: $i ).
tff(cp_type,type,
cp: $i > $o ).
tff(tptp_fun_Y_2_type,type,
tptp_fun_Y_2: $i > $i ).
tff(tptp_fun_Y_4_type,type,
tptp_fun_Y_4: $i > $i ).
tff(rinvS_type,type,
rinvS: ( $i * $i ) > $o ).
tff(ca_Ax2_type,type,
ca_Ax2: $i > $o ).
tff(rs_type,type,
rs: ( $i * $i ) > $o ).
tff(cpxcomp_type,type,
cpxcomp: $i > $o ).
tff(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
tff(tptp_fun_Y_1_type,type,
tptp_fun_Y_1: $i > $i ).
tff(tptp_fun_Y0_3_type,type,
tptp_fun_Y0_3: $i > $i ).
tff(1,plain,
^ [X: $i] :
rewrite(
( ~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) )
<=> ~ ( ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) )
| ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i] :
~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) )
<=> ! [X: $i] :
~ ( ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) )
| ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) ) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [X: $i] :
refl(
( ~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) )
<=> ~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) ) )),
inference(bind,[status(th)],]) ).
tff(4,plain,
( ! [X: $i] :
~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) ) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
^ [X: $i] :
rewrite(
( ~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) )
<=> ~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) ) )),
inference(bind,[status(th)],]) ).
tff(6,plain,
( ! [X: $i] :
~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) ) ),
inference(quant_intro,[status(thm)],[5]) ).
tff(7,plain,
( ! [X: $i] :
~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) ) ),
inference(transitivity,[status(thm)],[6,4]) ).
tff(8,plain,
^ [X: $i] :
trans(
monotonicity(
rewrite(
( ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
<=> ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) ) )),
( ( ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
& ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) )
<=> ( ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
& ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) ) )),
rewrite(
( ( ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
& ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) )
<=> ~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) ) )),
( ( ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
& ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) )
<=> ~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) ) )),
inference(bind,[status(th)],]) ).
tff(9,plain,
( ! [X: $i] :
( ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
& ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) ) ),
inference(quant_intro,[status(thm)],[8]) ).
tff(10,plain,
( ! [X: $i] :
( cp(X)
<=> ~ ? [Y: $i] : ra_Px1(X,Y) )
<=> ! [X: $i] :
( cp(X)
<=> ~ ? [Y: $i] : ra_Px1(X,Y) ) ),
inference(rewrite,[status(thm)],]) ).
tff(11,axiom,
! [X: $i] :
( cp(X)
<=> ~ ? [Y: $i] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(12,plain,
! [X: $i] :
( cp(X)
<=> ~ ? [Y: $i] : ra_Px1(X,Y) ),
inference(modus_ponens,[status(thm)],[11,10]) ).
tff(13,plain,
! [X: $i] :
( ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
& ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) ),
inference(skolemize,[status(sab)],[12]) ).
tff(14,plain,
! [X: $i] :
~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) ),
inference(modus_ponens,[status(thm)],[13,9]) ).
tff(15,plain,
! [X: $i] :
~ ( ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) )
| ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) ) ),
inference(modus_ponens,[status(thm)],[14,7]) ).
tff(16,plain,
! [X: $i] :
~ ( ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) )
| ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) ) ),
inference(modus_ponens,[status(thm)],[15,2]) ).
tff(17,plain,
( ~ ! [X: $i] :
~ ( ~ ( cp(X)
| ra_Px1(X,tptp_fun_Y_2(X)) )
| ~ ( ~ cp(X)
| ! [Y: $i] : ~ ra_Px1(X,Y) ) )
| ~ ( ~ ( cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_2(tptp_fun_Y_0(i2003_11_14_17_21_12565))) )
| ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(18,plain,
~ ( ~ ( cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_2(tptp_fun_Y_0(i2003_11_14_17_21_12565))) )
| ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y) ) ),
inference(unit_resolution,[status(thm)],[17,16]) ).
tff(19,plain,
( ~ ( cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_2(tptp_fun_Y_0(i2003_11_14_17_21_12565))) )
| ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y) )
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y) ),
inference(tautology,[status(thm)],]) ).
tff(20,plain,
( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y) ),
inference(unit_resolution,[status(thm)],[19,18]) ).
tff(21,plain,
^ [X: $i] :
refl(
( ~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) )
<=> ~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(22,plain,
( ! [X: $i] :
~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,plain,
^ [X: $i] :
rewrite(
( ~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) )
<=> ~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(24,plain,
( ! [X: $i] :
~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) ) ),
inference(quant_intro,[status(thm)],[23]) ).
tff(25,plain,
( ! [X: $i] :
~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) ) ),
inference(transitivity,[status(thm)],[24,22]) ).
tff(26,plain,
^ [X: $i] :
trans(
monotonicity(
rewrite(
( ( ~ ca_Ax2(X)
| ( cp(X)
& rinvS(X,tptp_fun_Y_4(X))
& cp(tptp_fun_Y_4(X)) ) )
<=> ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) ) )),
rewrite(
( ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
~ ( rinvS(X,Y)
& cp(Y) ) )
<=> ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) )),
( ( ( ~ ca_Ax2(X)
| ( cp(X)
& rinvS(X,tptp_fun_Y_4(X))
& cp(tptp_fun_Y_4(X)) ) )
& ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
~ ( rinvS(X,Y)
& cp(Y) ) ) )
<=> ( ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
& ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) ) )),
rewrite(
( ( ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
& ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) )
<=> ~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) ) )),
( ( ( ~ ca_Ax2(X)
| ( cp(X)
& rinvS(X,tptp_fun_Y_4(X))
& cp(tptp_fun_Y_4(X)) ) )
& ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
~ ( rinvS(X,Y)
& cp(Y) ) ) )
<=> ~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(27,plain,
( ! [X: $i] :
( ( ~ ca_Ax2(X)
| ( cp(X)
& rinvS(X,tptp_fun_Y_4(X))
& cp(tptp_fun_Y_4(X)) ) )
& ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
~ ( rinvS(X,Y)
& cp(Y) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) ) ),
inference(quant_intro,[status(thm)],[26]) ).
tff(28,plain,
^ [X: $i] :
rewrite(
( ( ( ~ ca_Ax2(X)
| ( cp(X)
& rinvS(X,tptp_fun_Y_4(X))
& cp(tptp_fun_Y_4(X)) ) )
& ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
~ ( rinvS(X,Y)
& cp(Y) ) ) )
<=> ( ( ~ ca_Ax2(X)
| ( cp(X)
& rinvS(X,tptp_fun_Y_4(X))
& cp(tptp_fun_Y_4(X)) ) )
& ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
~ ( rinvS(X,Y)
& cp(Y) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(29,plain,
( ! [X: $i] :
( ( ~ ca_Ax2(X)
| ( cp(X)
& rinvS(X,tptp_fun_Y_4(X))
& cp(tptp_fun_Y_4(X)) ) )
& ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
~ ( rinvS(X,Y)
& cp(Y) ) ) )
<=> ! [X: $i] :
( ( ~ ca_Ax2(X)
| ( cp(X)
& rinvS(X,tptp_fun_Y_4(X))
& cp(tptp_fun_Y_4(X)) ) )
& ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
~ ( rinvS(X,Y)
& cp(Y) ) ) ) ),
inference(quant_intro,[status(thm)],[28]) ).
tff(30,plain,
( ! [X: $i] :
( ca_Ax2(X)
<=> ( cp(X)
& ? [Y: $i] :
( rinvS(X,Y)
& cp(Y) ) ) )
<=> ! [X: $i] :
( ca_Ax2(X)
<=> ( cp(X)
& ? [Y: $i] :
( rinvS(X,Y)
& cp(Y) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(31,axiom,
! [X: $i] :
( ca_Ax2(X)
<=> ( cp(X)
& ? [Y: $i] :
( rinvS(X,Y)
& cp(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(32,plain,
! [X: $i] :
( ca_Ax2(X)
<=> ( cp(X)
& ? [Y: $i] :
( rinvS(X,Y)
& cp(Y) ) ) ),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
! [X: $i] :
( ( ~ ca_Ax2(X)
| ( cp(X)
& rinvS(X,tptp_fun_Y_4(X))
& cp(tptp_fun_Y_4(X)) ) )
& ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
~ ( rinvS(X,Y)
& cp(Y) ) ) ),
inference(skolemize,[status(sab)],[32]) ).
tff(34,plain,
! [X: $i] :
( ( ~ ca_Ax2(X)
| ( cp(X)
& rinvS(X,tptp_fun_Y_4(X))
& cp(tptp_fun_Y_4(X)) ) )
& ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
~ ( rinvS(X,Y)
& cp(Y) ) ) ),
inference(modus_ponens,[status(thm)],[33,29]) ).
tff(35,plain,
! [X: $i] :
~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[34,27]) ).
tff(36,plain,
! [X: $i] :
~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[35,25]) ).
tff(37,plain,
( ~ ! [X: $i] :
~ ( ~ ( ~ ca_Ax2(X)
| ~ ( ~ cp(X)
| ~ rinvS(X,tptp_fun_Y_4(X))
| ~ cp(tptp_fun_Y_4(X)) ) )
| ~ ( ca_Ax2(X)
| ~ cp(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(X,Y) ) ) )
| ~ ( ~ ( ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565)))
| ~ cp(tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ) )
| ~ ( ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y) ) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(38,plain,
~ ( ~ ( ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565)))
| ~ cp(tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ) )
| ~ ( ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y) ) ) ),
inference(unit_resolution,[status(thm)],[37,36]) ).
tff(39,plain,
( ~ ( ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565)))
| ~ cp(tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ) )
| ~ ( ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y: $i] :
( ~ cp(Y)
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y) ) )
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565)))
| ~ cp(tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ) ),
inference(tautology,[status(thm)],]) ).
tff(40,plain,
( ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565)))
| ~ cp(tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ) ),
inference(unit_resolution,[status(thm)],[39,38]) ).
tff(41,plain,
^ [X: $i] :
rewrite(
( ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) )
<=> ~ ( ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(42,plain,
( ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) )
<=> ! [X: $i] :
~ ( ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) ) ),
inference(quant_intro,[status(thm)],[41]) ).
tff(43,plain,
^ [X: $i] :
refl(
( ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) )
<=> ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(44,plain,
( ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) ) ),
inference(quant_intro,[status(thm)],[43]) ).
tff(45,plain,
^ [X: $i] :
rewrite(
( ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) )
<=> ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(46,plain,
( ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) ) ),
inference(quant_intro,[status(thm)],[45]) ).
tff(47,plain,
( ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) ) ),
inference(transitivity,[status(thm)],[46,44]) ).
tff(48,plain,
^ [X: $i] :
trans(
monotonicity(
rewrite(
( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& ca_Ax2(tptp_fun_Y_0(X))
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) )
<=> ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) ) )),
trans(
monotonicity(
quant_intro(
proof_bind(
^ [Y: $i] :
trans(
monotonicity(
rewrite(
( ( rs(X,Y)
& ca_Ax2(Y) )
<=> ~ ( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )),
( ~ ( rs(X,Y)
& ca_Ax2(Y) )
<=> ~ ~ ( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )),
rewrite(
( ~ ~ ( ~ rs(X,Y)
| ~ ca_Ax2(Y) )
<=> ( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )),
( ~ ( rs(X,Y)
& ca_Ax2(Y) )
<=> ( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ))),
( ! [Y: $i] :
~ ( rs(X,Y)
& ca_Ax2(Y) )
<=> ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )),
( ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rs(X,Y)
& ca_Ax2(Y) )
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) ) )
<=> ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) )
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) ) ) )),
rewrite(
( ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) )
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) ) )
<=> ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) )),
( ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rs(X,Y)
& ca_Ax2(Y) )
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) ) )
<=> ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) )),
( ( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& ca_Ax2(tptp_fun_Y_0(X))
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rs(X,Y)
& ca_Ax2(Y) )
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) ) ) )
<=> ( ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
& ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) ) )),
rewrite(
( ( ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
& ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) )
<=> ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) ) )),
( ( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& ca_Ax2(tptp_fun_Y_0(X))
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rs(X,Y)
& ca_Ax2(Y) )
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) ) ) )
<=> ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(49,plain,
( ! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& ca_Ax2(tptp_fun_Y_0(X))
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rs(X,Y)
& ca_Ax2(Y) )
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) ) ),
inference(quant_intro,[status(thm)],[48]) ).
tff(50,plain,
^ [X: $i] :
rewrite(
( ( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& ca_Ax2(tptp_fun_Y_0(X))
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rs(X,Y)
& ca_Ax2(Y) )
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) ) ) )
<=> ( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& ca_Ax2(tptp_fun_Y_0(X))
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rs(X,Y)
& ca_Ax2(Y) )
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(51,plain,
( ! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& ca_Ax2(tptp_fun_Y_0(X))
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rs(X,Y)
& ca_Ax2(Y) )
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) ) ) )
<=> ! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& ca_Ax2(tptp_fun_Y_0(X))
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rs(X,Y)
& ca_Ax2(Y) )
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) ) ) ) ),
inference(quant_intro,[status(thm)],[50]) ).
tff(52,plain,
( ! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) )
<=> ! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(53,plain,
^ [X: $i] :
rewrite(
( ( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y: $i] :
( rs(X,Y)
=> cpxcomp(Y) ) ) )
<=> ( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(54,plain,
( ! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y: $i] :
( rs(X,Y)
=> cpxcomp(Y) ) ) )
<=> ! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) ),
inference(quant_intro,[status(thm)],[53]) ).
tff(55,axiom,
! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y: $i] :
( rs(X,Y)
=> cpxcomp(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(56,plain,
! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[55,54]) ).
tff(57,plain,
! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rs(X,Y)
& ca_Ax2(Y) )
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[56,52]) ).
tff(58,plain,
! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& ca_Ax2(tptp_fun_Y_0(X))
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rs(X,Y)
& ca_Ax2(Y) )
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) ) ) ),
inference(skolemize,[status(sab)],[57]) ).
tff(59,plain,
! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rs(X,tptp_fun_Y_0(X))
& ca_Ax2(tptp_fun_Y_0(X))
& ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rs(X,Y)
& ca_Ax2(Y) )
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) ) ) ),
inference(modus_ponens,[status(thm)],[58,51]) ).
tff(60,plain,
! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) ),
inference(modus_ponens,[status(thm)],[59,49]) ).
tff(61,plain,
! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) )
| ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X)) ) )
| ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) ) ),
inference(modus_ponens,[status(thm)],[60,47]) ).
tff(62,plain,
! [X: $i] :
~ ( ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) ),
inference(modus_ponens,[status(thm)],[61,42]) ).
tff(63,plain,
( ( ~ ! [X: $i] :
~ ( ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) )
| ~ ( ~ ( cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( cpxcomp(tptp_fun_Y_1(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_1(i2003_11_14_17_21_12565)) )
| ! [Y: $i] :
( ~ ca_Ax2(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ) ) )
<=> ( ~ ! [X: $i] :
~ ( ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) )
| ~ ( ~ ( cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( cpxcomp(tptp_fun_Y_1(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_1(i2003_11_14_17_21_12565)) )
| ! [Y: $i] :
( ~ ca_Ax2(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(64,plain,
( ~ ( ~ ( cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( cpxcomp(tptp_fun_Y_1(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_1(i2003_11_14_17_21_12565)) )
| ! [Y: $i] :
( ~ rs(i2003_11_14_17_21_12565,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ) )
<=> ~ ( ~ ( cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( cpxcomp(tptp_fun_Y_1(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_1(i2003_11_14_17_21_12565)) )
| ! [Y: $i] :
( ~ ca_Ax2(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(65,plain,
( ( ~ ! [X: $i] :
~ ( ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) )
| ~ ( ~ ( cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( cpxcomp(tptp_fun_Y_1(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_1(i2003_11_14_17_21_12565)) )
| ! [Y: $i] :
( ~ rs(i2003_11_14_17_21_12565,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ) ) )
<=> ( ~ ! [X: $i] :
~ ( ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) )
| ~ ( ~ ( cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( cpxcomp(tptp_fun_Y_1(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_1(i2003_11_14_17_21_12565)) )
| ! [Y: $i] :
( ~ ca_Ax2(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ) ) ) ),
inference(monotonicity,[status(thm)],[64]) ).
tff(66,plain,
( ( ~ ! [X: $i] :
~ ( ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) )
| ~ ( ~ ( cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( cpxcomp(tptp_fun_Y_1(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_1(i2003_11_14_17_21_12565)) )
| ! [Y: $i] :
( ~ rs(i2003_11_14_17_21_12565,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ) ) )
<=> ( ~ ! [X: $i] :
~ ( ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) )
| ~ ( ~ ( cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( cpxcomp(tptp_fun_Y_1(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_1(i2003_11_14_17_21_12565)) )
| ! [Y: $i] :
( ~ ca_Ax2(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ) ) ) ),
inference(transitivity,[status(thm)],[65,63]) ).
tff(67,plain,
( ~ ! [X: $i] :
~ ( ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) )
| ~ ( ~ ( cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( cpxcomp(tptp_fun_Y_1(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_1(i2003_11_14_17_21_12565)) )
| ! [Y: $i] :
( ~ rs(i2003_11_14_17_21_12565,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(68,plain,
( ~ ! [X: $i] :
~ ( ~ ( cUnsatisfiable(X)
| ~ ( cpxcomp(tptp_fun_Y_1(X))
| ~ rs(X,tptp_fun_Y_1(X)) )
| ! [Y: $i] :
( ~ rs(X,Y)
| ~ ca_Ax2(Y) ) )
| ~ ( ~ cUnsatisfiable(X)
| ~ ( ~ rs(X,tptp_fun_Y_0(X))
| ~ ca_Ax2(tptp_fun_Y_0(X))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(X,Y) ) ) ) )
| ~ ( ~ ( cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( cpxcomp(tptp_fun_Y_1(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_1(i2003_11_14_17_21_12565)) )
| ! [Y: $i] :
( ~ ca_Ax2(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ) ) ),
inference(modus_ponens,[status(thm)],[67,66]) ).
tff(69,plain,
~ ( ~ ( cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( cpxcomp(tptp_fun_Y_1(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_1(i2003_11_14_17_21_12565)) )
| ! [Y: $i] :
( ~ ca_Ax2(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ) ),
inference(unit_resolution,[status(thm)],[68,62]) ).
tff(70,plain,
( ~ ( cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( cpxcomp(tptp_fun_Y_1(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_1(i2003_11_14_17_21_12565)) )
| ! [Y: $i] :
( ~ ca_Ax2(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) )
| ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) )
| ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(71,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ),
inference(unit_resolution,[status(thm)],[70,69]) ).
tff(72,plain,
( cUnsatisfiable(i2003_11_14_17_21_12565)
<=> cUnsatisfiable(i2003_11_14_17_21_12565) ),
inference(rewrite,[status(thm)],]) ).
tff(73,axiom,
cUnsatisfiable(i2003_11_14_17_21_12565),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
tff(74,plain,
cUnsatisfiable(i2003_11_14_17_21_12565),
inference(modus_ponens,[status(thm)],[73,72]) ).
tff(75,plain,
( ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) )
| ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(76,plain,
( ~ ( ~ cUnsatisfiable(i2003_11_14_17_21_12565)
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) )
| ~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ) ),
inference(unit_resolution,[status(thm)],[75,74]) ).
tff(77,plain,
~ ( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ),
inference(unit_resolution,[status(thm)],[76,71]) ).
tff(78,plain,
( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) )
| ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565)) ),
inference(tautology,[status(thm)],]) ).
tff(79,plain,
ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565)),
inference(unit_resolution,[status(thm)],[78,77]) ).
tff(80,plain,
( ~ ( ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565)))
| ~ cp(tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ) )
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565)))
| ~ cp(tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ) ),
inference(tautology,[status(thm)],]) ).
tff(81,plain,
( ~ ( ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565)))
| ~ cp(tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ) )
| ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565)))
| ~ cp(tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ) ),
inference(unit_resolution,[status(thm)],[80,79]) ).
tff(82,plain,
~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565)))
| ~ cp(tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ),
inference(unit_resolution,[status(thm)],[81,40]) ).
tff(83,plain,
( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rinvS(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565)))
| ~ cp(tptp_fun_Y_4(tptp_fun_Y_0(i2003_11_14_17_21_12565)))
| cp(tptp_fun_Y_0(i2003_11_14_17_21_12565)) ),
inference(tautology,[status(thm)],]) ).
tff(84,plain,
cp(tptp_fun_Y_0(i2003_11_14_17_21_12565)),
inference(unit_resolution,[status(thm)],[83,82]) ).
tff(85,plain,
( ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y) )
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y) ),
inference(tautology,[status(thm)],]) ).
tff(86,plain,
( ~ ( ~ cp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y) )
| ! [Y: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y) ),
inference(unit_resolution,[status(thm)],[85,84]) ).
tff(87,plain,
! [Y: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y),
inference(unit_resolution,[status(thm)],[86,20]) ).
tff(88,plain,
^ [X: $i] :
refl(
( ~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) )
<=> ~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) ) )),
inference(bind,[status(th)],]) ).
tff(89,plain,
( ! [X: $i] :
~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) ) ),
inference(quant_intro,[status(thm)],[88]) ).
tff(90,plain,
^ [X: $i] :
rewrite(
( ~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) )
<=> ~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) ) )),
inference(bind,[status(th)],]) ).
tff(91,plain,
( ! [X: $i] :
~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) ) ),
inference(quant_intro,[status(thm)],[90]) ).
tff(92,plain,
( ! [X: $i] :
~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) ) ),
inference(transitivity,[status(thm)],[91,89]) ).
tff(93,plain,
^ [X: $i] :
trans(
monotonicity(
rewrite(
( ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) )
<=> ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) )),
( ( ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
& ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) )
<=> ( ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
& ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) ) )),
rewrite(
( ( ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
& ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) )
<=> ~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) ) )),
( ( ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
& ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) )
<=> ~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) ) )),
inference(bind,[status(th)],]) ).
tff(94,plain,
( ! [X: $i] :
( ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
& ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) ) ),
inference(quant_intro,[status(thm)],[93]) ).
tff(95,plain,
( ! [X: $i] :
( cpxcomp(X)
<=> ? [Y0: $i] : ra_Px1(X,Y0) )
<=> ! [X: $i] :
( cpxcomp(X)
<=> ? [Y0: $i] : ra_Px1(X,Y0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(96,axiom,
! [X: $i] :
( cpxcomp(X)
<=> ? [Y0: $i] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(97,plain,
! [X: $i] :
( cpxcomp(X)
<=> ? [Y0: $i] : ra_Px1(X,Y0) ),
inference(modus_ponens,[status(thm)],[96,95]) ).
tff(98,plain,
! [X: $i] :
( ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
& ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) ),
inference(skolemize,[status(sab)],[97]) ).
tff(99,plain,
! [X: $i] :
~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) ),
inference(modus_ponens,[status(thm)],[98,94]) ).
tff(100,plain,
! [X: $i] :
~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) ),
inference(modus_ponens,[status(thm)],[99,92]) ).
tff(101,plain,
( ~ ! [X: $i] :
~ ( ~ ( ~ cpxcomp(X)
| ra_Px1(X,tptp_fun_Y0_3(X)) )
| ~ ( cpxcomp(X)
| ! [Y0: $i] : ~ ra_Px1(X,Y0) ) )
| ~ ( ~ ( ~ cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y0_3(tptp_fun_Y_0(i2003_11_14_17_21_12565))) )
| ~ ( cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y0: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y0) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(102,plain,
~ ( ~ ( ~ cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y0_3(tptp_fun_Y_0(i2003_11_14_17_21_12565))) )
| ~ ( cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y0: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y0) ) ),
inference(unit_resolution,[status(thm)],[101,100]) ).
tff(103,plain,
( ~ ( ~ cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y0_3(tptp_fun_Y_0(i2003_11_14_17_21_12565))) )
| ~ ( cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ! [Y0: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y0) )
| ~ cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y0_3(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ),
inference(tautology,[status(thm)],]) ).
tff(104,plain,
( ~ cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y0_3(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ),
inference(unit_resolution,[status(thm)],[103,102]) ).
tff(105,plain,
( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) )
| ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ) ),
inference(tautology,[status(thm)],]) ).
tff(106,plain,
! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) ),
inference(unit_resolution,[status(thm)],[105,77]) ).
tff(107,plain,
( ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ca_Ax2(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) )
| rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565)) ),
inference(tautology,[status(thm)],]) ).
tff(108,plain,
rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565)),
inference(unit_resolution,[status(thm)],[107,77]) ).
tff(109,plain,
( ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) )
| cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565)) )
<=> ( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) )
| cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(110,plain,
( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) )
| cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565)) ),
inference(quant_inst,[status(thm)],]) ).
tff(111,plain,
( ~ ! [Y: $i] :
( cpxcomp(Y)
| ~ rs(i2003_11_14_17_21_12565,Y) )
| cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ~ rs(i2003_11_14_17_21_12565,tptp_fun_Y_0(i2003_11_14_17_21_12565)) ),
inference(modus_ponens,[status(thm)],[110,109]) ).
tff(112,plain,
cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565)),
inference(unit_resolution,[status(thm)],[111,108,106]) ).
tff(113,plain,
( ~ ( ~ cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y0_3(tptp_fun_Y_0(i2003_11_14_17_21_12565))) )
| ~ cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y0_3(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ),
inference(tautology,[status(thm)],]) ).
tff(114,plain,
( ~ ( ~ cpxcomp(tptp_fun_Y_0(i2003_11_14_17_21_12565))
| ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y0_3(tptp_fun_Y_0(i2003_11_14_17_21_12565))) )
| ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y0_3(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ),
inference(unit_resolution,[status(thm)],[113,112]) ).
tff(115,plain,
ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y0_3(tptp_fun_Y_0(i2003_11_14_17_21_12565))),
inference(unit_resolution,[status(thm)],[114,104]) ).
tff(116,plain,
( ~ ! [Y: $i] : ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),Y)
| ~ ra_Px1(tptp_fun_Y_0(i2003_11_14_17_21_12565),tptp_fun_Y0_3(tptp_fun_Y_0(i2003_11_14_17_21_12565))) ),
inference(quant_inst,[status(thm)],]) ).
tff(117,plain,
$false,
inference(unit_resolution,[status(thm)],[116,115,87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS110+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 Sep 1 09:30:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.34 Usage: tptp [options] [-file:]file
% 0.19/0.34 -h, -? prints this message.
% 0.19/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.34 -m, -model generate model.
% 0.19/0.34 -p, -proof generate proof.
% 0.19/0.34 -c, -core generate unsat core of named formulas.
% 0.19/0.34 -st, -statistics display statistics.
% 0.19/0.34 -t:timeout set timeout (in second).
% 0.19/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.34 -<param>:<value> configuration parameter and value.
% 0.19/0.34 -o:<output-file> file to place output in.
% 0.19/0.40 % SZS status Unsatisfiable
% 0.19/0.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------