TSTP Solution File: KRS076+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS076+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n017.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 0.21s 0.41s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 74
% Syntax : Number of formulae : 163 ( 35 unt; 12 typ; 0 def)
% Number of atoms : 1352 ( 139 equ)
% Maximal formula atoms : 32 ( 8 avg)
% Number of connectives : 2215 (1077 ~; 825 |; 184 &)
% ( 111 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 63 ( 63 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 11 >; 4 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 501 ( 435 !; 27 ?; 501 :)
% Comments :
%------------------------------------------------------------------------------
tff(tptp_fun_Y_1_type,type,
tptp_fun_Y_1: $i > $i ).
tff(i2003_11_14_17_19_06193_type,type,
i2003_11_14_17_19_06193: $i ).
tff(tptp_fun_Y_0_type,type,
tptp_fun_Y_0: $i > $i ).
tff(tptp_fun_W_2_type,type,
tptp_fun_W_2: $i > $i ).
tff(rf1_type,type,
rf1: ( $i * $i ) > $o ).
tff(rs_type,type,
rs: ( $i * $i ) > $o ).
tff(cowlThing_type,type,
cowlThing: $i > $o ).
tff(rinvF1_type,type,
rinvF1: ( $i * $i ) > $o ).
tff(cp_type,type,
cp: $i > $o ).
tff(rf_type,type,
rf: ( $i * $i ) > $o ).
tff(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
tff(tptp_fun_Z_3_type,type,
tptp_fun_Z_3: $i > $i ).
tff(1,plain,
^ [X: $i,Y: $i] :
refl(
( ( rinvF1(X,Y)
<=> rf1(Y,X) )
<=> ( rinvF1(X,Y)
<=> rf1(Y,X) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i,Y: $i] :
( rinvF1(X,Y)
<=> rf1(Y,X) )
<=> ! [X: $i,Y: $i] :
( rinvF1(X,Y)
<=> rf1(Y,X) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [X: $i,Y: $i] :
( rinvF1(X,Y)
<=> rf1(Y,X) )
<=> ! [X: $i,Y: $i] :
( rinvF1(X,Y)
<=> rf1(Y,X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,axiom,
! [X: $i,Y: $i] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
tff(5,plain,
! [X: $i,Y: $i] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [X: $i,Y: $i] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [X: $i,Y: $i] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [X: $i,Y: $i] :
( rinvF1(X,Y)
<=> rf1(Y,X) )
| ( rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
<=> rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(9,plain,
( rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
<=> rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193)) ),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
^ [X: $i] :
refl(
( ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) )
<=> ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
^ [X: $i] :
rewrite(
( ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) )
<=> ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(13,plain,
( ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) ) ),
inference(quant_intro,[status(thm)],[12]) ).
tff(14,plain,
( ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) ) ),
inference(transitivity,[status(thm)],[13,11]) ).
tff(15,plain,
^ [X: $i] :
trans(
monotonicity(
rewrite(
( ( ~ cUnsatisfiable(X)
| ( rf(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rf1(X,tptp_fun_Y_1(X))
& ~ cp(tptp_fun_Y_1(X))
& ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ( rs(Z,tptp_fun_W_2(Z))
& cowlThing(tptp_fun_W_2(Z)) ) ) ) )
<=> ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) ) )),
rewrite(
( ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rf(X,Y)
& cp(Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ( rinvF1(Y,tptp_fun_Z_3(Y))
& ! [W: $i] :
~ ( rs(tptp_fun_Z_3(Y),W)
& cowlThing(W) ) ) ) )
<=> ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) )),
( ( ( ~ cUnsatisfiable(X)
| ( rf(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rf1(X,tptp_fun_Y_1(X))
& ~ cp(tptp_fun_Y_1(X))
& ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ( rs(Z,tptp_fun_W_2(Z))
& cowlThing(tptp_fun_W_2(Z)) ) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rf(X,Y)
& cp(Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ( rinvF1(Y,tptp_fun_Z_3(Y))
& ! [W: $i] :
~ ( rs(tptp_fun_Z_3(Y),W)
& cowlThing(W) ) ) ) ) )
<=> ( ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) ) )),
rewrite(
( ( ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) )
<=> ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) ) )),
( ( ( ~ cUnsatisfiable(X)
| ( rf(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rf1(X,tptp_fun_Y_1(X))
& ~ cp(tptp_fun_Y_1(X))
& ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ( rs(Z,tptp_fun_W_2(Z))
& cowlThing(tptp_fun_W_2(Z)) ) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rf(X,Y)
& cp(Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ( rinvF1(Y,tptp_fun_Z_3(Y))
& ! [W: $i] :
~ ( rs(tptp_fun_Z_3(Y),W)
& cowlThing(W) ) ) ) ) )
<=> ~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(16,plain,
( ! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rf(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rf1(X,tptp_fun_Y_1(X))
& ~ cp(tptp_fun_Y_1(X))
& ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ( rs(Z,tptp_fun_W_2(Z))
& cowlThing(tptp_fun_W_2(Z)) ) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rf(X,Y)
& cp(Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ( rinvF1(Y,tptp_fun_Z_3(Y))
& ! [W: $i] :
~ ( rs(tptp_fun_Z_3(Y),W)
& cowlThing(W) ) ) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) ) ),
inference(quant_intro,[status(thm)],[15]) ).
tff(17,plain,
^ [X: $i] :
rewrite(
( ( ( ~ cUnsatisfiable(X)
| ( rf(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rf1(X,tptp_fun_Y_1(X))
& ~ cp(tptp_fun_Y_1(X))
& ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ( rs(Z,tptp_fun_W_2(Z))
& cowlThing(tptp_fun_W_2(Z)) ) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rf(X,Y)
& cp(Y) )
| ! [Y: $i] :
( ~ rf1(X,Y)
| ~ ~ cp(Y)
| ( ~ ~ rinvF1(Y,tptp_fun_Z_3(Y))
& ! [W: $i] :
~ ( rs(tptp_fun_Z_3(Y),W)
& cowlThing(W) ) ) ) ) )
<=> ( ( ~ cUnsatisfiable(X)
| ( rf(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rf1(X,tptp_fun_Y_1(X))
& ~ cp(tptp_fun_Y_1(X))
& ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ( rs(Z,tptp_fun_W_2(Z))
& cowlThing(tptp_fun_W_2(Z)) ) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rf(X,Y)
& cp(Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ( rinvF1(Y,tptp_fun_Z_3(Y))
& ! [W: $i] :
~ ( rs(tptp_fun_Z_3(Y),W)
& cowlThing(W) ) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(18,plain,
( ! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rf(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rf1(X,tptp_fun_Y_1(X))
& ~ cp(tptp_fun_Y_1(X))
& ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ( rs(Z,tptp_fun_W_2(Z))
& cowlThing(tptp_fun_W_2(Z)) ) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rf(X,Y)
& cp(Y) )
| ! [Y: $i] :
( ~ rf1(X,Y)
| ~ ~ cp(Y)
| ( ~ ~ rinvF1(Y,tptp_fun_Z_3(Y))
& ! [W: $i] :
~ ( rs(tptp_fun_Z_3(Y),W)
& cowlThing(W) ) ) ) ) )
<=> ! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rf(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rf1(X,tptp_fun_Y_1(X))
& ~ cp(tptp_fun_Y_1(X))
& ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ( rs(Z,tptp_fun_W_2(Z))
& cowlThing(tptp_fun_W_2(Z)) ) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rf(X,Y)
& cp(Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ( rinvF1(Y,tptp_fun_Z_3(Y))
& ! [W: $i] :
~ ( rs(tptp_fun_Z_3(Y),W)
& cowlThing(W) ) ) ) ) ) ),
inference(quant_intro,[status(thm)],[17]) ).
tff(19,plain,
( ! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rf(X,Y)
& cp(Y) )
& ? [Y: $i] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z: $i] :
( ~ rinvF1(Y,Z)
| ? [W: $i] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) )
<=> ! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rf(X,Y)
& cp(Y) )
& ? [Y: $i] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z: $i] :
( ~ rinvF1(Y,Z)
| ? [W: $i] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(20,plain,
^ [X: $i] :
rewrite(
( ( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rf(X,Y)
& cp(Y) )
& ? [Y: $i] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z: $i] :
( rinvF1(Y,Z)
=> ? [W: $i] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) )
<=> ( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rf(X,Y)
& cp(Y) )
& ? [Y: $i] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z: $i] :
( ~ rinvF1(Y,Z)
| ? [W: $i] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(21,plain,
( ! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rf(X,Y)
& cp(Y) )
& ? [Y: $i] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z: $i] :
( rinvF1(Y,Z)
=> ? [W: $i] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) )
<=> ! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rf(X,Y)
& cp(Y) )
& ? [Y: $i] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z: $i] :
( ~ rinvF1(Y,Z)
| ? [W: $i] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) ) ),
inference(quant_intro,[status(thm)],[20]) ).
tff(22,axiom,
! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rf(X,Y)
& cp(Y) )
& ? [Y: $i] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z: $i] :
( rinvF1(Y,Z)
=> ? [W: $i] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(23,plain,
! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rf(X,Y)
& cp(Y) )
& ? [Y: $i] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z: $i] :
( ~ rinvF1(Y,Z)
| ? [W: $i] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) ),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
! [X: $i] :
( cUnsatisfiable(X)
<=> ( ? [Y: $i] :
( rf(X,Y)
& cp(Y) )
& ? [Y: $i] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z: $i] :
( ~ rinvF1(Y,Z)
| ? [W: $i] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) ),
inference(modus_ponens,[status(thm)],[23,19]) ).
tff(25,plain,
! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rf(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rf1(X,tptp_fun_Y_1(X))
& ~ cp(tptp_fun_Y_1(X))
& ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ( rs(Z,tptp_fun_W_2(Z))
& cowlThing(tptp_fun_W_2(Z)) ) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rf(X,Y)
& cp(Y) )
| ! [Y: $i] :
( ~ rf1(X,Y)
| ~ ~ cp(Y)
| ( ~ ~ rinvF1(Y,tptp_fun_Z_3(Y))
& ! [W: $i] :
~ ( rs(tptp_fun_Z_3(Y),W)
& cowlThing(W) ) ) ) ) ),
inference(skolemize,[status(sab)],[24]) ).
tff(26,plain,
! [X: $i] :
( ( ~ cUnsatisfiable(X)
| ( rf(X,tptp_fun_Y_0(X))
& cp(tptp_fun_Y_0(X))
& rf1(X,tptp_fun_Y_1(X))
& ~ cp(tptp_fun_Y_1(X))
& ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ( rs(Z,tptp_fun_W_2(Z))
& cowlThing(tptp_fun_W_2(Z)) ) ) ) )
& ( cUnsatisfiable(X)
| ! [Y: $i] :
~ ( rf(X,Y)
& cp(Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ( rinvF1(Y,tptp_fun_Z_3(Y))
& ! [W: $i] :
~ ( rs(tptp_fun_Z_3(Y),W)
& cowlThing(W) ) ) ) ) ),
inference(modus_ponens,[status(thm)],[25,18]) ).
tff(27,plain,
! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) ),
inference(modus_ponens,[status(thm)],[26,16]) ).
tff(28,plain,
! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) ),
inference(modus_ponens,[status(thm)],[27,14]) ).
tff(29,plain,
( ~ ! [X: $i] :
~ ( ~ ( ~ cUnsatisfiable(X)
| ~ ( cp(tptp_fun_Y_1(X))
| ~ rf(X,tptp_fun_Y_0(X))
| ~ cp(tptp_fun_Y_0(X))
| ~ rf1(X,tptp_fun_Y_1(X))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(X),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(X)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(X,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) )
| ~ ( ~ ( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| ~ ( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(i2003_11_14_17_19_06193)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(i2003_11_14_17_19_06193,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(i2003_11_14_17_19_06193,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(30,plain,
~ ( ~ ( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| ~ ( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(i2003_11_14_17_19_06193)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(i2003_11_14_17_19_06193,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(i2003_11_14_17_19_06193,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) ) ),
inference(unit_resolution,[status(thm)],[29,28]) ).
tff(31,plain,
( ~ ( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| ~ ( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cUnsatisfiable(i2003_11_14_17_19_06193)
| ! [Y: $i] :
( ~ cp(Y)
| ~ rf(i2003_11_14_17_19_06193,Y) )
| ! [Y: $i] :
( cp(Y)
| ~ rf1(i2003_11_14_17_19_06193,Y)
| ~ ( ~ rinvF1(Y,tptp_fun_Z_3(Y))
| ~ ! [W: $i] :
( ~ cowlThing(W)
| ~ rs(tptp_fun_Z_3(Y),W) ) ) ) )
| ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| ~ ( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(32,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| ~ ( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) ),
inference(unit_resolution,[status(thm)],[31,30]) ).
tff(33,plain,
( cUnsatisfiable(i2003_11_14_17_19_06193)
<=> cUnsatisfiable(i2003_11_14_17_19_06193) ),
inference(rewrite,[status(thm)],]) ).
tff(34,axiom,
cUnsatisfiable(i2003_11_14_17_19_06193),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
tff(35,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
( ~ ( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| ~ ( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| ~ ( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(37,plain,
( ~ ( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| ~ ( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) )
| ~ ( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ) ),
inference(unit_resolution,[status(thm)],[36,35]) ).
tff(38,plain,
~ ( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ),
inference(unit_resolution,[status(thm)],[37,32]) ).
tff(39,plain,
( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) )
| rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193)) ),
inference(tautology,[status(thm)],]) ).
tff(40,plain,
rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193)),
inference(unit_resolution,[status(thm)],[39,38]) ).
tff(41,plain,
( ~ ( rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
<=> rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193)) )
| rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193)) ),
inference(tautology,[status(thm)],]) ).
tff(42,plain,
( ~ ( rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
<=> rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193)) )
| rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193) ),
inference(unit_resolution,[status(thm)],[41,40]) ).
tff(43,plain,
rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193),
inference(unit_resolution,[status(thm)],[42,9]) ).
tff(44,plain,
( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) )
| ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(45,plain,
! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) ),
inference(unit_resolution,[status(thm)],[44,38]) ).
tff(46,plain,
( ( ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) )
| ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
| ~ ( ~ cowlThing(tptp_fun_W_2(i2003_11_14_17_19_06193))
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) )
<=> ( ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) )
| ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
| ~ ( ~ cowlThing(tptp_fun_W_2(i2003_11_14_17_19_06193))
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(47,plain,
( ( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
| ~ ( ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193))
| ~ cowlThing(tptp_fun_W_2(i2003_11_14_17_19_06193)) ) )
<=> ( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
| ~ ( ~ cowlThing(tptp_fun_W_2(i2003_11_14_17_19_06193))
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(48,plain,
( ( ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) )
| ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
| ~ ( ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193))
| ~ cowlThing(tptp_fun_W_2(i2003_11_14_17_19_06193)) ) )
<=> ( ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) )
| ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
| ~ ( ~ cowlThing(tptp_fun_W_2(i2003_11_14_17_19_06193))
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ) ),
inference(monotonicity,[status(thm)],[47]) ).
tff(49,plain,
( ( ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) )
| ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
| ~ ( ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193))
| ~ cowlThing(tptp_fun_W_2(i2003_11_14_17_19_06193)) ) )
<=> ( ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) )
| ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
| ~ ( ~ cowlThing(tptp_fun_W_2(i2003_11_14_17_19_06193))
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ) ),
inference(transitivity,[status(thm)],[48,46]) ).
tff(50,plain,
( ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) )
| ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
| ~ ( ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193))
| ~ cowlThing(tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(51,plain,
( ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) )
| ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
| ~ ( ~ cowlThing(tptp_fun_W_2(i2003_11_14_17_19_06193))
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
~ ( ~ cowlThing(tptp_fun_W_2(i2003_11_14_17_19_06193))
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ),
inference(unit_resolution,[status(thm)],[51,45,43]) ).
tff(53,plain,
( ~ cowlThing(tptp_fun_W_2(i2003_11_14_17_19_06193))
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193))
| rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ),
inference(tautology,[status(thm)],]) ).
tff(54,plain,
rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)),
inference(unit_resolution,[status(thm)],[53,52]) ).
tff(55,plain,
^ [X: $i,Y: $i] :
refl(
( ( ~ rs(X,Y)
| rf1(X,Y) )
<=> ( ~ rs(X,Y)
| rf1(X,Y) ) )),
inference(bind,[status(th)],]) ).
tff(56,plain,
( ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf1(X,Y) )
<=> ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf1(X,Y) ) ),
inference(quant_intro,[status(thm)],[55]) ).
tff(57,plain,
( ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf1(X,Y) )
<=> ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf1(X,Y) ) ),
inference(rewrite,[status(thm)],]) ).
tff(58,plain,
^ [X: $i,Y: $i] :
rewrite(
( ( rs(X,Y)
=> rf1(X,Y) )
<=> ( ~ rs(X,Y)
| rf1(X,Y) ) )),
inference(bind,[status(th)],]) ).
tff(59,plain,
( ! [X: $i,Y: $i] :
( rs(X,Y)
=> rf1(X,Y) )
<=> ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf1(X,Y) ) ),
inference(quant_intro,[status(thm)],[58]) ).
tff(60,axiom,
! [X: $i,Y: $i] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
tff(61,plain,
! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf1(X,Y) ),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf1(X,Y) ),
inference(modus_ponens,[status(thm)],[61,57]) ).
tff(63,plain,
! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf1(X,Y) ),
inference(skolemize,[status(sab)],[62]) ).
tff(64,plain,
! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf1(X,Y) ),
inference(modus_ponens,[status(thm)],[63,56]) ).
tff(65,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf1(X,Y) )
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193))
| rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf1(X,Y) )
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193))
| rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(66,plain,
( ~ ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf1(X,Y) )
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193))
| rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ),
inference(quant_inst,[status(thm)],]) ).
tff(67,plain,
( ~ ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf1(X,Y) )
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193))
| rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)),
inference(unit_resolution,[status(thm)],[67,64,54]) ).
tff(69,plain,
^ [X: $i,Y: $i,Z: $i] :
refl(
( ( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) )
<=> ( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) ) )),
inference(bind,[status(th)],]) ).
tff(70,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) ) ),
inference(quant_intro,[status(thm)],[69]) ).
tff(71,plain,
^ [X: $i,Y: $i,Z: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( rf1(X,Y)
& rf1(X,Z) )
<=> ~ ( ~ rf1(X,Z)
| ~ rf1(X,Y) ) )),
( ~ ( rf1(X,Y)
& rf1(X,Z) )
<=> ~ ~ ( ~ rf1(X,Z)
| ~ rf1(X,Y) ) )),
rewrite(
( ~ ~ ( ~ rf1(X,Z)
| ~ rf1(X,Y) )
<=> ( ~ rf1(X,Z)
| ~ rf1(X,Y) ) )),
( ~ ( rf1(X,Y)
& rf1(X,Z) )
<=> ( ~ rf1(X,Z)
| ~ rf1(X,Y) ) )),
( ( ~ ( rf1(X,Y)
& rf1(X,Z) )
| ( Y = Z ) )
<=> ( ~ rf1(X,Z)
| ~ rf1(X,Y)
| ( Y = Z ) ) )),
rewrite(
( ( ~ rf1(X,Z)
| ~ rf1(X,Y)
| ( Y = Z ) )
<=> ( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) ) )),
( ( ~ ( rf1(X,Y)
& rf1(X,Z) )
| ( Y = Z ) )
<=> ( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) ) )),
inference(bind,[status(th)],]) ).
tff(72,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf1(X,Y)
& rf1(X,Z) )
| ( Y = Z ) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) ) ),
inference(quant_intro,[status(thm)],[71]) ).
tff(73,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf1(X,Y)
& rf1(X,Z) )
| ( Y = Z ) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf1(X,Y)
& rf1(X,Z) )
| ( Y = Z ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(74,plain,
^ [X: $i,Y: $i,Z: $i] :
rewrite(
( ( ( rf1(X,Y)
& rf1(X,Z) )
=> ( Y = Z ) )
<=> ( ~ ( rf1(X,Y)
& rf1(X,Z) )
| ( Y = Z ) ) )),
inference(bind,[status(th)],]) ).
tff(75,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> ( Y = Z ) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf1(X,Y)
& rf1(X,Z) )
| ( Y = Z ) ) ),
inference(quant_intro,[status(thm)],[74]) ).
tff(76,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
tff(77,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( rf1(X,Y)
& rf1(X,Z) )
| ( Y = Z ) ),
inference(modus_ponens,[status(thm)],[76,75]) ).
tff(78,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( rf1(X,Y)
& rf1(X,Z) )
| ( Y = Z ) ),
inference(modus_ponens,[status(thm)],[77,73]) ).
tff(79,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( rf1(X,Y)
& rf1(X,Z) )
| ( Y = Z ) ),
inference(skolemize,[status(sab)],[78]) ).
tff(80,plain,
! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(modus_ponens,[status(thm)],[79,72]) ).
tff(81,plain,
! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(modus_ponens,[status(thm)],[80,70]) ).
tff(82,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(83,plain,
( ( ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) )
<=> ( ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(84,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) )
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ),
inference(monotonicity,[status(thm)],[83]) ).
tff(85,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) )
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ),
inference(transitivity,[status(thm)],[84,82]) ).
tff(86,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) )
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ),
inference(quant_inst,[status(thm)],]) ).
tff(87,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf1(X,Z)
| ~ rf1(X,Y) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ),
inference(modus_ponens,[status(thm)],[86,85]) ).
tff(88,plain,
tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_1(i2003_11_14_17_19_06193),
inference(unit_resolution,[status(thm)],[87,81,40,68]) ).
tff(89,plain,
^ [X: $i,Y: $i] :
refl(
( ( ~ rs(X,Y)
| rf(X,Y) )
<=> ( ~ rs(X,Y)
| rf(X,Y) ) )),
inference(bind,[status(th)],]) ).
tff(90,plain,
( ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf(X,Y) )
<=> ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf(X,Y) ) ),
inference(quant_intro,[status(thm)],[89]) ).
tff(91,plain,
( ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf(X,Y) )
<=> ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf(X,Y) ) ),
inference(rewrite,[status(thm)],]) ).
tff(92,plain,
^ [X: $i,Y: $i] :
rewrite(
( ( rs(X,Y)
=> rf(X,Y) )
<=> ( ~ rs(X,Y)
| rf(X,Y) ) )),
inference(bind,[status(th)],]) ).
tff(93,plain,
( ! [X: $i,Y: $i] :
( rs(X,Y)
=> rf(X,Y) )
<=> ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf(X,Y) ) ),
inference(quant_intro,[status(thm)],[92]) ).
tff(94,axiom,
! [X: $i,Y: $i] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
tff(95,plain,
! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf(X,Y) ),
inference(modus_ponens,[status(thm)],[94,93]) ).
tff(96,plain,
! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf(X,Y) ),
inference(modus_ponens,[status(thm)],[95,91]) ).
tff(97,plain,
! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf(X,Y) ),
inference(skolemize,[status(sab)],[96]) ).
tff(98,plain,
! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf(X,Y) ),
inference(modus_ponens,[status(thm)],[97,90]) ).
tff(99,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf(X,Y) )
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193))
| rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf(X,Y) )
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193))
| rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(100,plain,
( ~ ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf(X,Y) )
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193))
| rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ),
inference(quant_inst,[status(thm)],]) ).
tff(101,plain,
( ~ ! [X: $i,Y: $i] :
( ~ rs(X,Y)
| rf(X,Y) )
| ~ rs(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193))
| rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ),
inference(modus_ponens,[status(thm)],[100,99]) ).
tff(102,plain,
rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)),
inference(unit_resolution,[status(thm)],[101,98,54]) ).
tff(103,plain,
( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) )
| rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193)) ),
inference(tautology,[status(thm)],]) ).
tff(104,plain,
rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193)),
inference(unit_resolution,[status(thm)],[103,38]) ).
tff(105,plain,
^ [X: $i,Y: $i,Z: $i] :
refl(
( ( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) )
<=> ( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) ) )),
inference(bind,[status(th)],]) ).
tff(106,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) ) ),
inference(quant_intro,[status(thm)],[105]) ).
tff(107,plain,
^ [X: $i,Y: $i,Z: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( rf(X,Y)
& rf(X,Z) )
<=> ~ ( ~ rf(X,Z)
| ~ rf(X,Y) ) )),
( ~ ( rf(X,Y)
& rf(X,Z) )
<=> ~ ~ ( ~ rf(X,Z)
| ~ rf(X,Y) ) )),
rewrite(
( ~ ~ ( ~ rf(X,Z)
| ~ rf(X,Y) )
<=> ( ~ rf(X,Z)
| ~ rf(X,Y) ) )),
( ~ ( rf(X,Y)
& rf(X,Z) )
<=> ( ~ rf(X,Z)
| ~ rf(X,Y) ) )),
( ( ~ ( rf(X,Y)
& rf(X,Z) )
| ( Y = Z ) )
<=> ( ~ rf(X,Z)
| ~ rf(X,Y)
| ( Y = Z ) ) )),
rewrite(
( ( ~ rf(X,Z)
| ~ rf(X,Y)
| ( Y = Z ) )
<=> ( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) ) )),
( ( ~ ( rf(X,Y)
& rf(X,Z) )
| ( Y = Z ) )
<=> ( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) ) )),
inference(bind,[status(th)],]) ).
tff(108,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf(X,Y)
& rf(X,Z) )
| ( Y = Z ) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) ) ),
inference(quant_intro,[status(thm)],[107]) ).
tff(109,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf(X,Y)
& rf(X,Z) )
| ( Y = Z ) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf(X,Y)
& rf(X,Z) )
| ( Y = Z ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(110,plain,
^ [X: $i,Y: $i,Z: $i] :
rewrite(
( ( ( rf(X,Y)
& rf(X,Z) )
=> ( Y = Z ) )
<=> ( ~ ( rf(X,Y)
& rf(X,Z) )
| ( Y = Z ) ) )),
inference(bind,[status(th)],]) ).
tff(111,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ( rf(X,Y)
& rf(X,Z) )
=> ( Y = Z ) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf(X,Y)
& rf(X,Z) )
| ( Y = Z ) ) ),
inference(quant_intro,[status(thm)],[110]) ).
tff(112,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( rf(X,Y)
& rf(X,Z) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(113,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( rf(X,Y)
& rf(X,Z) )
| ( Y = Z ) ),
inference(modus_ponens,[status(thm)],[112,111]) ).
tff(114,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( rf(X,Y)
& rf(X,Z) )
| ( Y = Z ) ),
inference(modus_ponens,[status(thm)],[113,109]) ).
tff(115,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( rf(X,Y)
& rf(X,Z) )
| ( Y = Z ) ),
inference(skolemize,[status(sab)],[114]) ).
tff(116,plain,
! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(modus_ponens,[status(thm)],[115,108]) ).
tff(117,plain,
! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(modus_ponens,[status(thm)],[116,106]) ).
tff(118,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_0(i2003_11_14_17_19_06193) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_0(i2003_11_14_17_19_06193) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(119,plain,
( ( ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_0(i2003_11_14_17_19_06193) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) )
<=> ( ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_0(i2003_11_14_17_19_06193) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(120,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) )
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_0(i2003_11_14_17_19_06193) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_0(i2003_11_14_17_19_06193) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ),
inference(monotonicity,[status(thm)],[119]) ).
tff(121,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) )
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_0(i2003_11_14_17_19_06193) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_0(i2003_11_14_17_19_06193) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ) ),
inference(transitivity,[status(thm)],[120,118]) ).
tff(122,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) )
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_0(i2003_11_14_17_19_06193) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ),
inference(quant_inst,[status(thm)],]) ).
tff(123,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ~ rf(X,Z)
| ~ rf(X,Y) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ( tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_0(i2003_11_14_17_19_06193) )
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_W_2(i2003_11_14_17_19_06193)) ),
inference(modus_ponens,[status(thm)],[122,121]) ).
tff(124,plain,
tptp_fun_W_2(i2003_11_14_17_19_06193) = tptp_fun_Y_0(i2003_11_14_17_19_06193),
inference(unit_resolution,[status(thm)],[123,117,104,102]) ).
tff(125,plain,
tptp_fun_Y_0(i2003_11_14_17_19_06193) = tptp_fun_W_2(i2003_11_14_17_19_06193),
inference(symmetry,[status(thm)],[124]) ).
tff(126,plain,
tptp_fun_Y_0(i2003_11_14_17_19_06193) = tptp_fun_Y_1(i2003_11_14_17_19_06193),
inference(transitivity,[status(thm)],[125,88]) ).
tff(127,plain,
( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) )
| cp(tptp_fun_Y_0(i2003_11_14_17_19_06193)) ),
inference(tautology,[status(thm)],]) ).
tff(128,plain,
cp(tptp_fun_Y_0(i2003_11_14_17_19_06193)),
inference(unit_resolution,[status(thm)],[127,38]) ).
tff(129,plain,
( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ ! [Z: $i] :
( ~ rinvF1(tptp_fun_Y_1(i2003_11_14_17_19_06193),Z)
| ~ ( ~ rs(Z,tptp_fun_W_2(Z))
| ~ cowlThing(tptp_fun_W_2(Z)) ) )
| ~ cp(tptp_fun_Y_1(i2003_11_14_17_19_06193)) ),
inference(tautology,[status(thm)],]) ).
tff(130,plain,
~ cp(tptp_fun_Y_1(i2003_11_14_17_19_06193)),
inference(unit_resolution,[status(thm)],[129,38]) ).
tff(131,plain,
^ [A: $i,B: $i] :
refl(
( ( cp(B)
| ( A != B )
| ~ cp(A) )
<=> ( cp(B)
| ( A != B )
| ~ cp(A) ) )),
inference(bind,[status(th)],]) ).
tff(132,plain,
( ! [A: $i,B: $i] :
( cp(B)
| ( A != B )
| ~ cp(A) )
<=> ! [A: $i,B: $i] :
( cp(B)
| ( A != B )
| ~ cp(A) ) ),
inference(quant_intro,[status(thm)],[131]) ).
tff(133,plain,
^ [A: $i,B: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ( A = B )
& cp(A) )
<=> ~ ( ( A != B )
| ~ cp(A) ) )),
( ~ ( ( A = B )
& cp(A) )
<=> ~ ~ ( ( A != B )
| ~ cp(A) ) )),
rewrite(
( ~ ~ ( ( A != B )
| ~ cp(A) )
<=> ( ( A != B )
| ~ cp(A) ) )),
( ~ ( ( A = B )
& cp(A) )
<=> ( ( A != B )
| ~ cp(A) ) )),
( ( cp(B)
| ~ ( ( A = B )
& cp(A) ) )
<=> ( cp(B)
| ( A != B )
| ~ cp(A) ) )),
rewrite(
( ( cp(B)
| ( A != B )
| ~ cp(A) )
<=> ( cp(B)
| ( A != B )
| ~ cp(A) ) )),
( ( cp(B)
| ~ ( ( A = B )
& cp(A) ) )
<=> ( cp(B)
| ( A != B )
| ~ cp(A) ) )),
inference(bind,[status(th)],]) ).
tff(134,plain,
( ! [A: $i,B: $i] :
( cp(B)
| ~ ( ( A = B )
& cp(A) ) )
<=> ! [A: $i,B: $i] :
( cp(B)
| ( A != B )
| ~ cp(A) ) ),
inference(quant_intro,[status(thm)],[133]) ).
tff(135,plain,
( ! [A: $i,B: $i] :
( cp(B)
| ~ ( ( A = B )
& cp(A) ) )
<=> ! [A: $i,B: $i] :
( cp(B)
| ~ ( ( A = B )
& cp(A) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(136,plain,
^ [A: $i,B: $i] :
rewrite(
( ( ( ( A = B )
& cp(A) )
=> cp(B) )
<=> ( cp(B)
| ~ ( ( A = B )
& cp(A) ) ) )),
inference(bind,[status(th)],]) ).
tff(137,plain,
( ! [A: $i,B: $i] :
( ( ( A = B )
& cp(A) )
=> cp(B) )
<=> ! [A: $i,B: $i] :
( cp(B)
| ~ ( ( A = B )
& cp(A) ) ) ),
inference(quant_intro,[status(thm)],[136]) ).
tff(138,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& cp(A) )
=> cp(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp_substitution_1) ).
tff(139,plain,
! [A: $i,B: $i] :
( cp(B)
| ~ ( ( A = B )
& cp(A) ) ),
inference(modus_ponens,[status(thm)],[138,137]) ).
tff(140,plain,
! [A: $i,B: $i] :
( cp(B)
| ~ ( ( A = B )
& cp(A) ) ),
inference(modus_ponens,[status(thm)],[139,135]) ).
tff(141,plain,
! [A: $i,B: $i] :
( cp(B)
| ~ ( ( A = B )
& cp(A) ) ),
inference(skolemize,[status(sab)],[140]) ).
tff(142,plain,
! [A: $i,B: $i] :
( cp(B)
| ( A != B )
| ~ cp(A) ),
inference(modus_ponens,[status(thm)],[141,134]) ).
tff(143,plain,
! [A: $i,B: $i] :
( cp(B)
| ( A != B )
| ~ cp(A) ),
inference(modus_ponens,[status(thm)],[142,132]) ).
tff(144,plain,
( ( ~ ! [A: $i,B: $i] :
( cp(B)
| ( A != B )
| ~ cp(A) )
| cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ( tptp_fun_Y_0(i2003_11_14_17_19_06193) != tptp_fun_Y_1(i2003_11_14_17_19_06193) ) )
<=> ( ~ ! [A: $i,B: $i] :
( cp(B)
| ( A != B )
| ~ cp(A) )
| cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ( tptp_fun_Y_0(i2003_11_14_17_19_06193) != tptp_fun_Y_1(i2003_11_14_17_19_06193) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(145,plain,
( ( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ( tptp_fun_Y_0(i2003_11_14_17_19_06193) != tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193)) )
<=> ( cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ( tptp_fun_Y_0(i2003_11_14_17_19_06193) != tptp_fun_Y_1(i2003_11_14_17_19_06193) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(146,plain,
( ( ~ ! [A: $i,B: $i] :
( cp(B)
| ( A != B )
| ~ cp(A) )
| cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ( tptp_fun_Y_0(i2003_11_14_17_19_06193) != tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193)) )
<=> ( ~ ! [A: $i,B: $i] :
( cp(B)
| ( A != B )
| ~ cp(A) )
| cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ( tptp_fun_Y_0(i2003_11_14_17_19_06193) != tptp_fun_Y_1(i2003_11_14_17_19_06193) ) ) ),
inference(monotonicity,[status(thm)],[145]) ).
tff(147,plain,
( ( ~ ! [A: $i,B: $i] :
( cp(B)
| ( A != B )
| ~ cp(A) )
| cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ( tptp_fun_Y_0(i2003_11_14_17_19_06193) != tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193)) )
<=> ( ~ ! [A: $i,B: $i] :
( cp(B)
| ( A != B )
| ~ cp(A) )
| cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ( tptp_fun_Y_0(i2003_11_14_17_19_06193) != tptp_fun_Y_1(i2003_11_14_17_19_06193) ) ) ),
inference(transitivity,[status(thm)],[146,144]) ).
tff(148,plain,
( ~ ! [A: $i,B: $i] :
( cp(B)
| ( A != B )
| ~ cp(A) )
| cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ( tptp_fun_Y_0(i2003_11_14_17_19_06193) != tptp_fun_Y_1(i2003_11_14_17_19_06193) )
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193)) ),
inference(quant_inst,[status(thm)],]) ).
tff(149,plain,
( ~ ! [A: $i,B: $i] :
( cp(B)
| ( A != B )
| ~ cp(A) )
| cp(tptp_fun_Y_1(i2003_11_14_17_19_06193))
| ~ cp(tptp_fun_Y_0(i2003_11_14_17_19_06193))
| ( tptp_fun_Y_0(i2003_11_14_17_19_06193) != tptp_fun_Y_1(i2003_11_14_17_19_06193) ) ),
inference(modus_ponens,[status(thm)],[148,147]) ).
tff(150,plain,
tptp_fun_Y_0(i2003_11_14_17_19_06193) != tptp_fun_Y_1(i2003_11_14_17_19_06193),
inference(unit_resolution,[status(thm)],[149,143,130,128]) ).
tff(151,plain,
$false,
inference(unit_resolution,[status(thm)],[150,126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS076+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n017.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 08:54:22 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.
% 0.21/0.41 % SZS status Unsatisfiable
% 0.21/0.41 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------