TSTP Solution File: PLA031-1.001 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PLA031-1.001 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 : Sun Sep 18 13:39:59 EDT 2022
% Result : Unsatisfiable 120.41s 77.51s
% Output : Proof 120.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 113
% Syntax : Number of formulae : 231 ( 57 unt; 11 typ; 0 def)
% Number of atoms : 1183 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 1714 ( 805 ~; 788 |; 0 &)
% ( 121 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 54 ( 54 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 4 >; 8 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-6 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 1288 (1186 !; 0 ?;1288 :)
% Comments :
%------------------------------------------------------------------------------
tff(s_type,type,
s: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(s0_type,type,
s0: $i ).
tff(s2_type,type,
s2: $i ).
tff(truck1_type,type,
truck1: $i ).
tff(p2_0_type,type,
p2_0: $i ).
tff(s1_type,type,
s1: $i ).
tff(truck2_type,type,
truck2: $i ).
tff(p2_1_type,type,
p2_1: $i ).
tff(path_type,type,
path: ( $i * $i ) > $o ).
tff(neq_type,type,
neq: ( $i * $i ) > $o ).
tff(link_type,type,
link: ( $i * $i ) > $o ).
tff(1,plain,
( s(s2,s2,s0,s1,s0,s2)
<=> s(s2,s2,s0,s1,s0,s2) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
s(s2,s2,s0,s1,s0,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).
tff(3,plain,
s(s2,s2,s0,s1,s0,s2),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( path(s1,p2_1)
<=> path(s1,p2_1) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
path(s1,p2_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map11) ).
tff(6,plain,
path(s1,p2_1),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
^ [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
refl(
( ( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
<=> ( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
<=> ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,plain,
( ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
<=> ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(10,plain,
^ [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
trans(
monotonicity(
rewrite(
( ( ~ s(O1,O2,D1,S,T1,T2)
| ~ path(S,D) )
<=> ( ~ path(S,D)
| ~ s(O1,O2,D1,S,T1,T2) ) )),
( ( ~ s(O1,O2,D1,S,T1,T2)
| ~ path(S,D)
| s(O1,O2,D1,D,T1,T2) )
<=> ( ~ path(S,D)
| ~ s(O1,O2,D1,S,T1,T2)
| s(O1,O2,D1,D,T1,T2) ) )),
rewrite(
( ( ~ path(S,D)
| ~ s(O1,O2,D1,S,T1,T2)
| s(O1,O2,D1,D,T1,T2) )
<=> ( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) ) )),
( ( ~ s(O1,O2,D1,S,T1,T2)
| ~ path(S,D)
| s(O1,O2,D1,D,T1,T2) )
<=> ( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,S,T1,T2)
| ~ path(S,D)
| s(O1,O2,D1,D,T1,T2) )
<=> ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,axiom,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,S,T1,T2)
| ~ path(S,D)
| s(O1,O2,D1,D,T1,T2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',walk2) ).
tff(13,plain,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) ),
inference(modus_ponens,[status(thm)],[13,9]) ).
tff(15,plain,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) ),
inference(modus_ponens,[status(thm)],[15,8]) ).
tff(17,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ s(s2,s2,s0,s1,s0,s2)
| ~ path(s1,p2_1)
| s(s2,s2,s0,p2_1,s0,s2) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ s(s2,s2,s0,s1,s0,s2)
| ~ path(s1,p2_1)
| s(s2,s2,s0,p2_1,s0,s2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,plain,
( ( ~ path(s1,p2_1)
| s(s2,s2,s0,p2_1,s0,s2)
| ~ s(s2,s2,s0,s1,s0,s2) )
<=> ( ~ s(s2,s2,s0,s1,s0,s2)
| ~ path(s1,p2_1)
| s(s2,s2,s0,p2_1,s0,s2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(19,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ path(s1,p2_1)
| s(s2,s2,s0,p2_1,s0,s2)
| ~ s(s2,s2,s0,s1,s0,s2) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ s(s2,s2,s0,s1,s0,s2)
| ~ path(s1,p2_1)
| s(s2,s2,s0,p2_1,s0,s2) ) ),
inference(monotonicity,[status(thm)],[18]) ).
tff(20,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ path(s1,p2_1)
| s(s2,s2,s0,p2_1,s0,s2)
| ~ s(s2,s2,s0,s1,s0,s2) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ s(s2,s2,s0,s1,s0,s2)
| ~ path(s1,p2_1)
| s(s2,s2,s0,p2_1,s0,s2) ) ),
inference(transitivity,[status(thm)],[19,17]) ).
tff(21,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ path(s1,p2_1)
| s(s2,s2,s0,p2_1,s0,s2)
| ~ s(s2,s2,s0,s1,s0,s2) ),
inference(quant_inst,[status(thm)],]) ).
tff(22,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ s(s2,s2,s0,s1,s0,s2)
| ~ path(s1,p2_1)
| s(s2,s2,s0,p2_1,s0,s2) ),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
s(s2,s2,s0,p2_1,s0,s2),
inference(unit_resolution,[status(thm)],[22,16,6,3]) ).
tff(24,plain,
( path(p2_1,s2)
<=> path(p2_1,s2) ),
inference(rewrite,[status(thm)],]) ).
tff(25,axiom,
path(p2_1,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map10) ).
tff(26,plain,
path(p2_1,s2),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ s(s2,s2,s0,p2_1,s0,s2)
| ~ path(p2_1,s2)
| s(s2,s2,s0,s2,s0,s2) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ s(s2,s2,s0,p2_1,s0,s2)
| ~ path(p2_1,s2)
| s(s2,s2,s0,s2,s0,s2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(28,plain,
( ( ~ path(p2_1,s2)
| s(s2,s2,s0,s2,s0,s2)
| ~ s(s2,s2,s0,p2_1,s0,s2) )
<=> ( ~ s(s2,s2,s0,p2_1,s0,s2)
| ~ path(p2_1,s2)
| s(s2,s2,s0,s2,s0,s2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(29,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ path(p2_1,s2)
| s(s2,s2,s0,s2,s0,s2)
| ~ s(s2,s2,s0,p2_1,s0,s2) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ s(s2,s2,s0,p2_1,s0,s2)
| ~ path(p2_1,s2)
| s(s2,s2,s0,s2,s0,s2) ) ),
inference(monotonicity,[status(thm)],[28]) ).
tff(30,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ path(p2_1,s2)
| s(s2,s2,s0,s2,s0,s2)
| ~ s(s2,s2,s0,p2_1,s0,s2) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ s(s2,s2,s0,p2_1,s0,s2)
| ~ path(p2_1,s2)
| s(s2,s2,s0,s2,s0,s2) ) ),
inference(transitivity,[status(thm)],[29,27]) ).
tff(31,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ path(p2_1,s2)
| s(s2,s2,s0,s2,s0,s2)
| ~ s(s2,s2,s0,p2_1,s0,s2) ),
inference(quant_inst,[status(thm)],]) ).
tff(32,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ path(S,D)
| s(O1,O2,D1,D,T1,T2)
| ~ s(O1,O2,D1,S,T1,T2) )
| ~ s(s2,s2,s0,p2_1,s0,s2)
| ~ path(p2_1,s2)
| s(s2,s2,s0,s2,s0,s2) ),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
s(s2,s2,s0,s2,s0,s2),
inference(unit_resolution,[status(thm)],[32,16,26,23]) ).
tff(34,plain,
( neq(s0,truck2)
<=> neq(s0,truck2) ),
inference(rewrite,[status(thm)],]) ).
tff(35,axiom,
neq(s0,truck2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq18) ).
tff(36,plain,
neq(s0,truck2),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
^ [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
refl(
( ( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) )
<=> ( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) ) )),
inference(bind,[status(th)],]) ).
tff(38,plain,
( ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) )
<=> ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) ) ),
inference(quant_intro,[status(thm)],[37]) ).
tff(39,plain,
( ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) )
<=> ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) ) ),
inference(rewrite,[status(thm)],]) ).
tff(40,plain,
^ [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
trans(
monotonicity(
rewrite(
( ( ~ s(O1,O2,D1,L,T1,L)
| ~ neq(D1,truck2) )
<=> ( ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) ) )),
( ( ~ s(O1,O2,D1,L,T1,L)
| ~ neq(D1,truck2)
| s(O1,O2,D1,truck2,T1,L) )
<=> ( ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L)
| s(O1,O2,D1,truck2,T1,L) ) )),
rewrite(
( ( ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L)
| s(O1,O2,D1,truck2,T1,L) )
<=> ( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) ) )),
( ( ~ s(O1,O2,D1,L,T1,L)
| ~ neq(D1,truck2)
| s(O1,O2,D1,truck2,T1,L) )
<=> ( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) ) )),
inference(bind,[status(th)],]) ).
tff(41,plain,
( ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,L,T1,L)
| ~ neq(D1,truck2)
| s(O1,O2,D1,truck2,T1,L) )
<=> ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) ) ),
inference(quant_intro,[status(thm)],[40]) ).
tff(42,axiom,
! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,L,T1,L)
| ~ neq(D1,truck2)
| s(O1,O2,D1,truck2,T1,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board7) ).
tff(43,plain,
! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) ),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) ),
inference(modus_ponens,[status(thm)],[43,39]) ).
tff(45,plain,
! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) ),
inference(skolemize,[status(sab)],[44]) ).
tff(46,plain,
! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) ),
inference(modus_ponens,[status(thm)],[45,38]) ).
tff(47,plain,
( ( ~ ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) )
| ~ neq(s0,truck2)
| s(s2,s2,s0,truck2,s0,s2)
| ~ s(s2,s2,s0,s2,s0,s2) )
<=> ( ~ ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) )
| ~ neq(s0,truck2)
| s(s2,s2,s0,truck2,s0,s2)
| ~ s(s2,s2,s0,s2,s0,s2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(48,plain,
( ( s(s2,s2,s0,truck2,s0,s2)
| ~ neq(s0,truck2)
| ~ s(s2,s2,s0,s2,s0,s2) )
<=> ( ~ neq(s0,truck2)
| s(s2,s2,s0,truck2,s0,s2)
| ~ s(s2,s2,s0,s2,s0,s2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(49,plain,
( ( ~ ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) )
| s(s2,s2,s0,truck2,s0,s2)
| ~ neq(s0,truck2)
| ~ s(s2,s2,s0,s2,s0,s2) )
<=> ( ~ ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) )
| ~ neq(s0,truck2)
| s(s2,s2,s0,truck2,s0,s2)
| ~ s(s2,s2,s0,s2,s0,s2) ) ),
inference(monotonicity,[status(thm)],[48]) ).
tff(50,plain,
( ( ~ ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) )
| s(s2,s2,s0,truck2,s0,s2)
| ~ neq(s0,truck2)
| ~ s(s2,s2,s0,s2,s0,s2) )
<=> ( ~ ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) )
| ~ neq(s0,truck2)
| s(s2,s2,s0,truck2,s0,s2)
| ~ s(s2,s2,s0,s2,s0,s2) ) ),
inference(transitivity,[status(thm)],[49,47]) ).
tff(51,plain,
( ~ ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) )
| s(s2,s2,s0,truck2,s0,s2)
| ~ neq(s0,truck2)
| ~ s(s2,s2,s0,s2,s0,s2) ),
inference(quant_inst,[status(thm)],]) ).
tff(52,plain,
( ~ ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,truck2,T1,L)
| ~ neq(D1,truck2)
| ~ s(O1,O2,D1,L,T1,L) )
| ~ neq(s0,truck2)
| s(s2,s2,s0,truck2,s0,s2)
| ~ s(s2,s2,s0,s2,s0,s2) ),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
s(s2,s2,s0,truck2,s0,s2),
inference(unit_resolution,[status(thm)],[52,46,36,33]) ).
tff(54,plain,
( link(s2,s0)
<=> link(s2,s0) ),
inference(rewrite,[status(thm)],]) ).
tff(55,axiom,
link(s2,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map16) ).
tff(56,plain,
link(s2,s0),
inference(modus_ponens,[status(thm)],[55,54]) ).
tff(57,plain,
^ [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
refl(
( ( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) )
<=> ( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) ) )),
inference(bind,[status(th)],]) ).
tff(58,plain,
( ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) )
<=> ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) ) ),
inference(quant_intro,[status(thm)],[57]) ).
tff(59,plain,
( ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) )
<=> ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) ) ),
inference(rewrite,[status(thm)],]) ).
tff(60,plain,
^ [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
trans(
monotonicity(
rewrite(
( ( ~ s(O1,O2,D1,truck2,T1,S)
| ~ link(S,D) )
<=> ( ~ link(S,D)
| ~ s(O1,O2,D1,truck2,T1,S) ) )),
( ( ~ s(O1,O2,D1,truck2,T1,S)
| ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D) )
<=> ( ~ link(S,D)
| ~ s(O1,O2,D1,truck2,T1,S)
| s(O1,O2,D1,truck2,T1,D) ) )),
rewrite(
( ( ~ link(S,D)
| ~ s(O1,O2,D1,truck2,T1,S)
| s(O1,O2,D1,truck2,T1,D) )
<=> ( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) ) )),
( ( ~ s(O1,O2,D1,truck2,T1,S)
| ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D) )
<=> ( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) ) )),
inference(bind,[status(th)],]) ).
tff(61,plain,
( ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,S)
| ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D) )
<=> ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) ) ),
inference(quant_intro,[status(thm)],[60]) ).
tff(62,axiom,
! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,S)
| ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive4) ).
tff(63,plain,
! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) ),
inference(modus_ponens,[status(thm)],[62,61]) ).
tff(64,plain,
! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) ),
inference(modus_ponens,[status(thm)],[63,59]) ).
tff(65,plain,
! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) ),
inference(skolemize,[status(sab)],[64]) ).
tff(66,plain,
! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) ),
inference(modus_ponens,[status(thm)],[65,58]) ).
tff(67,plain,
( ( ~ ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) )
| ~ s(s2,s2,s0,truck2,s0,s2)
| ~ link(s2,s0)
| s(s2,s2,s0,truck2,s0,s0) )
<=> ( ~ ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) )
| ~ s(s2,s2,s0,truck2,s0,s2)
| ~ link(s2,s0)
| s(s2,s2,s0,truck2,s0,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(68,plain,
( ( ~ link(s2,s0)
| s(s2,s2,s0,truck2,s0,s0)
| ~ s(s2,s2,s0,truck2,s0,s2) )
<=> ( ~ s(s2,s2,s0,truck2,s0,s2)
| ~ link(s2,s0)
| s(s2,s2,s0,truck2,s0,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(69,plain,
( ( ~ ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) )
| ~ link(s2,s0)
| s(s2,s2,s0,truck2,s0,s0)
| ~ s(s2,s2,s0,truck2,s0,s2) )
<=> ( ~ ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) )
| ~ s(s2,s2,s0,truck2,s0,s2)
| ~ link(s2,s0)
| s(s2,s2,s0,truck2,s0,s0) ) ),
inference(monotonicity,[status(thm)],[68]) ).
tff(70,plain,
( ( ~ ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) )
| ~ link(s2,s0)
| s(s2,s2,s0,truck2,s0,s0)
| ~ s(s2,s2,s0,truck2,s0,s2) )
<=> ( ~ ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) )
| ~ s(s2,s2,s0,truck2,s0,s2)
| ~ link(s2,s0)
| s(s2,s2,s0,truck2,s0,s0) ) ),
inference(transitivity,[status(thm)],[69,67]) ).
tff(71,plain,
( ~ ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) )
| ~ link(s2,s0)
| s(s2,s2,s0,truck2,s0,s0)
| ~ s(s2,s2,s0,truck2,s0,s2) ),
inference(quant_inst,[status(thm)],]) ).
tff(72,plain,
( ~ ! [O2: $i,D: $i,S: $i,O1: $i,T1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck2,T1,D)
| ~ s(O1,O2,D1,truck2,T1,S) )
| ~ s(s2,s2,s0,truck2,s0,s2)
| ~ link(s2,s0)
| s(s2,s2,s0,truck2,s0,s0) ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
s(s2,s2,s0,truck2,s0,s0),
inference(unit_resolution,[status(thm)],[72,66,56,53]) ).
tff(74,plain,
^ [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
refl(
( ( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) )
<=> ( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) ) )),
inference(bind,[status(th)],]) ).
tff(75,plain,
( ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) )
<=> ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) ) ),
inference(quant_intro,[status(thm)],[74]) ).
tff(76,plain,
( ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) )
<=> ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) ) ),
inference(rewrite,[status(thm)],]) ).
tff(77,plain,
^ [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
rewrite(
( ( s(O1,O2,D1,L,T1,L)
| ~ s(O1,O2,D1,truck2,T1,L) )
<=> ( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) ) )),
inference(bind,[status(th)],]) ).
tff(78,plain,
( ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,L,T1,L)
| ~ s(O1,O2,D1,truck2,T1,L) )
<=> ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) ) ),
inference(quant_intro,[status(thm)],[77]) ).
tff(79,axiom,
! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( s(O1,O2,D1,L,T1,L)
| ~ s(O1,O2,D1,truck2,T1,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board8) ).
tff(80,plain,
! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) ),
inference(modus_ponens,[status(thm)],[79,78]) ).
tff(81,plain,
! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) ),
inference(modus_ponens,[status(thm)],[80,76]) ).
tff(82,plain,
! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) ),
inference(skolemize,[status(sab)],[81]) ).
tff(83,plain,
! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) ),
inference(modus_ponens,[status(thm)],[82,75]) ).
tff(84,plain,
( ( ~ ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) )
| ~ s(s2,s2,s0,truck2,s0,s0)
| s(s2,s2,s0,s0,s0,s0) )
<=> ( ~ ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) )
| ~ s(s2,s2,s0,truck2,s0,s0)
| s(s2,s2,s0,s0,s0,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(85,plain,
( ~ ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) )
| ~ s(s2,s2,s0,truck2,s0,s0)
| s(s2,s2,s0,s0,s0,s0) ),
inference(quant_inst,[status(thm)],]) ).
tff(86,plain,
( ~ ! [O2: $i,L: $i,O1: $i,T1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck2,T1,L)
| s(O1,O2,D1,L,T1,L) )
| ~ s(s2,s2,s0,truck2,s0,s0)
| s(s2,s2,s0,s0,s0,s0) ),
inference(modus_ponens,[status(thm)],[85,84]) ).
tff(87,plain,
s(s2,s2,s0,s0,s0,s0),
inference(unit_resolution,[status(thm)],[86,83,73]) ).
tff(88,plain,
( neq(s0,truck1)
<=> neq(s0,truck1) ),
inference(rewrite,[status(thm)],]) ).
tff(89,axiom,
neq(s0,truck1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq17) ).
tff(90,plain,
neq(s0,truck1),
inference(modus_ponens,[status(thm)],[89,88]) ).
tff(91,plain,
^ [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
refl(
( ( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) )
<=> ( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) ) )),
inference(bind,[status(th)],]) ).
tff(92,plain,
( ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) )
<=> ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) ) ),
inference(quant_intro,[status(thm)],[91]) ).
tff(93,plain,
( ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) )
<=> ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(94,plain,
^ [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
trans(
monotonicity(
rewrite(
( ( ~ s(O1,O2,D1,L,L,T2)
| ~ neq(D1,truck1) )
<=> ( ~ neq(D1,truck1)
| ~ s(O1,O2,D1,L,L,T2) ) )),
( ( ~ s(O1,O2,D1,L,L,T2)
| ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2) )
<=> ( ~ neq(D1,truck1)
| ~ s(O1,O2,D1,L,L,T2)
| s(O1,O2,D1,truck1,L,T2) ) )),
rewrite(
( ( ~ neq(D1,truck1)
| ~ s(O1,O2,D1,L,L,T2)
| s(O1,O2,D1,truck1,L,T2) )
<=> ( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) ) )),
( ( ~ s(O1,O2,D1,L,L,T2)
| ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2) )
<=> ( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) ) )),
inference(bind,[status(th)],]) ).
tff(95,plain,
( ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,L,L,T2)
| ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2) )
<=> ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) ) ),
inference(quant_intro,[status(thm)],[94]) ).
tff(96,axiom,
! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,L,L,T2)
| ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board5) ).
tff(97,plain,
! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) ),
inference(modus_ponens,[status(thm)],[96,95]) ).
tff(98,plain,
! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) ),
inference(modus_ponens,[status(thm)],[97,93]) ).
tff(99,plain,
! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) ),
inference(skolemize,[status(sab)],[98]) ).
tff(100,plain,
! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) ),
inference(modus_ponens,[status(thm)],[99,92]) ).
tff(101,plain,
( ( ~ ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) )
| ~ neq(s0,truck1)
| s(s2,s2,s0,truck1,s0,s0)
| ~ s(s2,s2,s0,s0,s0,s0) )
<=> ( ~ ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) )
| ~ neq(s0,truck1)
| s(s2,s2,s0,truck1,s0,s0)
| ~ s(s2,s2,s0,s0,s0,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(102,plain,
( ~ ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) )
| ~ neq(s0,truck1)
| s(s2,s2,s0,truck1,s0,s0)
| ~ s(s2,s2,s0,s0,s0,s0) ),
inference(quant_inst,[status(thm)],]) ).
tff(103,plain,
( ~ ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ neq(D1,truck1)
| s(O1,O2,D1,truck1,L,T2)
| ~ s(O1,O2,D1,L,L,T2) )
| ~ neq(s0,truck1)
| s(s2,s2,s0,truck1,s0,s0)
| ~ s(s2,s2,s0,s0,s0,s0) ),
inference(modus_ponens,[status(thm)],[102,101]) ).
tff(104,plain,
s(s2,s2,s0,truck1,s0,s0),
inference(unit_resolution,[status(thm)],[103,100,90,87]) ).
tff(105,plain,
( link(s0,s1)
<=> link(s0,s1) ),
inference(rewrite,[status(thm)],]) ).
tff(106,axiom,
link(s0,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map13) ).
tff(107,plain,
link(s0,s1),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
^ [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
refl(
( ( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
<=> ( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) ) )),
inference(bind,[status(th)],]) ).
tff(109,plain,
( ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
<=> ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) ) ),
inference(quant_intro,[status(thm)],[108]) ).
tff(110,plain,
( ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
<=> ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(111,plain,
^ [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
trans(
monotonicity(
rewrite(
( ( ~ s(O1,O2,D1,truck1,S,T2)
| ~ link(S,D) )
<=> ( ~ link(S,D)
| ~ s(O1,O2,D1,truck1,S,T2) ) )),
( ( ~ s(O1,O2,D1,truck1,S,T2)
| ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2) )
<=> ( ~ link(S,D)
| ~ s(O1,O2,D1,truck1,S,T2)
| s(O1,O2,D1,truck1,D,T2) ) )),
rewrite(
( ( ~ link(S,D)
| ~ s(O1,O2,D1,truck1,S,T2)
| s(O1,O2,D1,truck1,D,T2) )
<=> ( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) ) )),
( ( ~ s(O1,O2,D1,truck1,S,T2)
| ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2) )
<=> ( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) ) )),
inference(bind,[status(th)],]) ).
tff(112,plain,
( ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,S,T2)
| ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2) )
<=> ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) ) ),
inference(quant_intro,[status(thm)],[111]) ).
tff(113,axiom,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,S,T2)
| ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive3) ).
tff(114,plain,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) ),
inference(modus_ponens,[status(thm)],[113,112]) ).
tff(115,plain,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) ),
inference(modus_ponens,[status(thm)],[114,110]) ).
tff(116,plain,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) ),
inference(skolemize,[status(sab)],[115]) ).
tff(117,plain,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) ),
inference(modus_ponens,[status(thm)],[116,109]) ).
tff(118,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ s(s2,s2,s0,truck1,s0,s0)
| s(s2,s2,s0,truck1,s1,s0)
| ~ link(s0,s1) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ s(s2,s2,s0,truck1,s0,s0)
| s(s2,s2,s0,truck1,s1,s0)
| ~ link(s0,s1) ) ),
inference(rewrite,[status(thm)],]) ).
tff(119,plain,
( ( ~ link(s0,s1)
| s(s2,s2,s0,truck1,s1,s0)
| ~ s(s2,s2,s0,truck1,s0,s0) )
<=> ( ~ s(s2,s2,s0,truck1,s0,s0)
| s(s2,s2,s0,truck1,s1,s0)
| ~ link(s0,s1) ) ),
inference(rewrite,[status(thm)],]) ).
tff(120,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s0,s1)
| s(s2,s2,s0,truck1,s1,s0)
| ~ s(s2,s2,s0,truck1,s0,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ s(s2,s2,s0,truck1,s0,s0)
| s(s2,s2,s0,truck1,s1,s0)
| ~ link(s0,s1) ) ),
inference(monotonicity,[status(thm)],[119]) ).
tff(121,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s0,s1)
| s(s2,s2,s0,truck1,s1,s0)
| ~ s(s2,s2,s0,truck1,s0,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ s(s2,s2,s0,truck1,s0,s0)
| s(s2,s2,s0,truck1,s1,s0)
| ~ link(s0,s1) ) ),
inference(transitivity,[status(thm)],[120,118]) ).
tff(122,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s0,s1)
| s(s2,s2,s0,truck1,s1,s0)
| ~ s(s2,s2,s0,truck1,s0,s0) ),
inference(quant_inst,[status(thm)],]) ).
tff(123,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ s(s2,s2,s0,truck1,s0,s0)
| s(s2,s2,s0,truck1,s1,s0)
| ~ link(s0,s1) ),
inference(modus_ponens,[status(thm)],[122,121]) ).
tff(124,plain,
s(s2,s2,s0,truck1,s1,s0),
inference(unit_resolution,[status(thm)],[123,117,107,104]) ).
tff(125,plain,
( path(s0,p2_0)
<=> path(s0,p2_0) ),
inference(rewrite,[status(thm)],]) ).
tff(126,axiom,
path(s0,p2_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map7) ).
tff(127,plain,
path(s0,p2_0),
inference(modus_ponens,[status(thm)],[126,125]) ).
tff(128,plain,
^ [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
refl(
( ( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
<=> ( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) ) )),
inference(bind,[status(th)],]) ).
tff(129,plain,
( ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
<=> ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) ) ),
inference(quant_intro,[status(thm)],[128]) ).
tff(130,plain,
( ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
<=> ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(131,plain,
^ [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
trans(
monotonicity(
rewrite(
( ( ~ s(O1,O2,S,D2,T1,T2)
| ~ path(S,D) )
<=> ( ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) ) )),
( ( ~ s(O1,O2,S,D2,T1,T2)
| ~ path(S,D)
| s(O1,O2,D,D2,T1,T2) )
<=> ( ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2)
| s(O1,O2,D,D2,T1,T2) ) )),
rewrite(
( ( ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2)
| s(O1,O2,D,D2,T1,T2) )
<=> ( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) ) )),
( ( ~ s(O1,O2,S,D2,T1,T2)
| ~ path(S,D)
| s(O1,O2,D,D2,T1,T2) )
<=> ( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) ) )),
inference(bind,[status(th)],]) ).
tff(132,plain,
( ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( ~ s(O1,O2,S,D2,T1,T2)
| ~ path(S,D)
| s(O1,O2,D,D2,T1,T2) )
<=> ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) ) ),
inference(quant_intro,[status(thm)],[131]) ).
tff(133,axiom,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( ~ s(O1,O2,S,D2,T1,T2)
| ~ path(S,D)
| s(O1,O2,D,D2,T1,T2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',walk1) ).
tff(134,plain,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) ),
inference(modus_ponens,[status(thm)],[133,132]) ).
tff(135,plain,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) ),
inference(modus_ponens,[status(thm)],[134,130]) ).
tff(136,plain,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) ),
inference(skolemize,[status(sab)],[135]) ).
tff(137,plain,
! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) ),
inference(modus_ponens,[status(thm)],[136,129]) ).
tff(138,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| ~ path(s0,p2_0)
| s(s2,s2,p2_0,truck1,s1,s0)
| ~ s(s2,s2,s0,truck1,s1,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| ~ path(s0,p2_0)
| s(s2,s2,p2_0,truck1,s1,s0)
| ~ s(s2,s2,s0,truck1,s1,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(139,plain,
( ( s(s2,s2,p2_0,truck1,s1,s0)
| ~ path(s0,p2_0)
| ~ s(s2,s2,s0,truck1,s1,s0) )
<=> ( ~ path(s0,p2_0)
| s(s2,s2,p2_0,truck1,s1,s0)
| ~ s(s2,s2,s0,truck1,s1,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(140,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| s(s2,s2,p2_0,truck1,s1,s0)
| ~ path(s0,p2_0)
| ~ s(s2,s2,s0,truck1,s1,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| ~ path(s0,p2_0)
| s(s2,s2,p2_0,truck1,s1,s0)
| ~ s(s2,s2,s0,truck1,s1,s0) ) ),
inference(monotonicity,[status(thm)],[139]) ).
tff(141,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| s(s2,s2,p2_0,truck1,s1,s0)
| ~ path(s0,p2_0)
| ~ s(s2,s2,s0,truck1,s1,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| ~ path(s0,p2_0)
| s(s2,s2,p2_0,truck1,s1,s0)
| ~ s(s2,s2,s0,truck1,s1,s0) ) ),
inference(transitivity,[status(thm)],[140,138]) ).
tff(142,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| s(s2,s2,p2_0,truck1,s1,s0)
| ~ path(s0,p2_0)
| ~ s(s2,s2,s0,truck1,s1,s0) ),
inference(quant_inst,[status(thm)],]) ).
tff(143,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| ~ path(s0,p2_0)
| s(s2,s2,p2_0,truck1,s1,s0)
| ~ s(s2,s2,s0,truck1,s1,s0) ),
inference(modus_ponens,[status(thm)],[142,141]) ).
tff(144,plain,
s(s2,s2,p2_0,truck1,s1,s0),
inference(unit_resolution,[status(thm)],[143,137,127,124]) ).
tff(145,plain,
( link(s1,s2)
<=> link(s1,s2) ),
inference(rewrite,[status(thm)],]) ).
tff(146,axiom,
link(s1,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map17) ).
tff(147,plain,
link(s1,s2),
inference(modus_ponens,[status(thm)],[146,145]) ).
tff(148,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s1,s2)
| ~ s(s2,s2,p2_0,truck1,s1,s0)
| s(s2,s2,p2_0,truck1,s2,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s1,s2)
| ~ s(s2,s2,p2_0,truck1,s1,s0)
| s(s2,s2,p2_0,truck1,s2,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(149,plain,
( ( ~ link(s1,s2)
| s(s2,s2,p2_0,truck1,s2,s0)
| ~ s(s2,s2,p2_0,truck1,s1,s0) )
<=> ( ~ link(s1,s2)
| ~ s(s2,s2,p2_0,truck1,s1,s0)
| s(s2,s2,p2_0,truck1,s2,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(150,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s1,s2)
| s(s2,s2,p2_0,truck1,s2,s0)
| ~ s(s2,s2,p2_0,truck1,s1,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s1,s2)
| ~ s(s2,s2,p2_0,truck1,s1,s0)
| s(s2,s2,p2_0,truck1,s2,s0) ) ),
inference(monotonicity,[status(thm)],[149]) ).
tff(151,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s1,s2)
| s(s2,s2,p2_0,truck1,s2,s0)
| ~ s(s2,s2,p2_0,truck1,s1,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s1,s2)
| ~ s(s2,s2,p2_0,truck1,s1,s0)
| s(s2,s2,p2_0,truck1,s2,s0) ) ),
inference(transitivity,[status(thm)],[150,148]) ).
tff(152,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s1,s2)
| s(s2,s2,p2_0,truck1,s2,s0)
| ~ s(s2,s2,p2_0,truck1,s1,s0) ),
inference(quant_inst,[status(thm)],]) ).
tff(153,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s1,s2)
| ~ s(s2,s2,p2_0,truck1,s1,s0)
| s(s2,s2,p2_0,truck1,s2,s0) ),
inference(modus_ponens,[status(thm)],[152,151]) ).
tff(154,plain,
s(s2,s2,p2_0,truck1,s2,s0),
inference(unit_resolution,[status(thm)],[153,117,147,144]) ).
tff(155,plain,
^ [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
refl(
( ( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) )
<=> ( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) ) )),
inference(bind,[status(th)],]) ).
tff(156,plain,
( ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) )
<=> ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) ) ),
inference(quant_intro,[status(thm)],[155]) ).
tff(157,plain,
( ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) )
<=> ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(158,axiom,
! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load5) ).
tff(159,plain,
! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) ),
inference(modus_ponens,[status(thm)],[158,157]) ).
tff(160,plain,
! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) ),
inference(skolemize,[status(sab)],[159]) ).
tff(161,plain,
! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) ),
inference(modus_ponens,[status(thm)],[160,156]) ).
tff(162,plain,
( ( ~ ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) )
| ~ s(s2,s2,p2_0,truck1,s2,s0)
| s(s2,truck1,p2_0,truck1,s2,s0) )
<=> ( ~ ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) )
| ~ s(s2,s2,p2_0,truck1,s2,s0)
| s(s2,truck1,p2_0,truck1,s2,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(163,plain,
( ~ ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) )
| ~ s(s2,s2,p2_0,truck1,s2,s0)
| s(s2,truck1,p2_0,truck1,s2,s0) ),
inference(quant_inst,[status(thm)],]) ).
tff(164,plain,
( ~ ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( ~ s(O1,L,D1,D2,L,T2)
| s(O1,truck1,D1,D2,L,T2) )
| ~ s(s2,s2,p2_0,truck1,s2,s0)
| s(s2,truck1,p2_0,truck1,s2,s0) ),
inference(modus_ponens,[status(thm)],[163,162]) ).
tff(165,plain,
s(s2,truck1,p2_0,truck1,s2,s0),
inference(unit_resolution,[status(thm)],[164,161,154]) ).
tff(166,plain,
( link(s2,s1)
<=> link(s2,s1) ),
inference(rewrite,[status(thm)],]) ).
tff(167,axiom,
link(s2,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map18) ).
tff(168,plain,
link(s2,s1),
inference(modus_ponens,[status(thm)],[167,166]) ).
tff(169,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s2,s1)
| ~ s(s2,truck1,p2_0,truck1,s2,s0)
| s(s2,truck1,p2_0,truck1,s1,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s2,s1)
| ~ s(s2,truck1,p2_0,truck1,s2,s0)
| s(s2,truck1,p2_0,truck1,s1,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(170,plain,
( ( ~ link(s2,s1)
| s(s2,truck1,p2_0,truck1,s1,s0)
| ~ s(s2,truck1,p2_0,truck1,s2,s0) )
<=> ( ~ link(s2,s1)
| ~ s(s2,truck1,p2_0,truck1,s2,s0)
| s(s2,truck1,p2_0,truck1,s1,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(171,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s2,s1)
| s(s2,truck1,p2_0,truck1,s1,s0)
| ~ s(s2,truck1,p2_0,truck1,s2,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s2,s1)
| ~ s(s2,truck1,p2_0,truck1,s2,s0)
| s(s2,truck1,p2_0,truck1,s1,s0) ) ),
inference(monotonicity,[status(thm)],[170]) ).
tff(172,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s2,s1)
| s(s2,truck1,p2_0,truck1,s1,s0)
| ~ s(s2,truck1,p2_0,truck1,s2,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s2,s1)
| ~ s(s2,truck1,p2_0,truck1,s2,s0)
| s(s2,truck1,p2_0,truck1,s1,s0) ) ),
inference(transitivity,[status(thm)],[171,169]) ).
tff(173,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s2,s1)
| s(s2,truck1,p2_0,truck1,s1,s0)
| ~ s(s2,truck1,p2_0,truck1,s2,s0) ),
inference(quant_inst,[status(thm)],]) ).
tff(174,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s2,s1)
| ~ s(s2,truck1,p2_0,truck1,s2,s0)
| s(s2,truck1,p2_0,truck1,s1,s0) ),
inference(modus_ponens,[status(thm)],[173,172]) ).
tff(175,plain,
s(s2,truck1,p2_0,truck1,s1,s0),
inference(unit_resolution,[status(thm)],[174,117,168,165]) ).
tff(176,plain,
^ [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
refl(
( ( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) )
<=> ( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) ) )),
inference(bind,[status(th)],]) ).
tff(177,plain,
( ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) )
<=> ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) ) ),
inference(quant_intro,[status(thm)],[176]) ).
tff(178,plain,
( ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) )
<=> ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(179,axiom,
! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load6) ).
tff(180,plain,
! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) ),
inference(modus_ponens,[status(thm)],[179,178]) ).
tff(181,plain,
! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) ),
inference(skolemize,[status(sab)],[180]) ).
tff(182,plain,
! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) ),
inference(modus_ponens,[status(thm)],[181,177]) ).
tff(183,plain,
( ( ~ ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) )
| ~ s(s2,truck1,p2_0,truck1,s1,s0)
| s(s2,s1,p2_0,truck1,s1,s0) )
<=> ( ~ ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) )
| ~ s(s2,truck1,p2_0,truck1,s1,s0)
| s(s2,s1,p2_0,truck1,s1,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(184,plain,
( ( s(s2,s1,p2_0,truck1,s1,s0)
| ~ s(s2,truck1,p2_0,truck1,s1,s0) )
<=> ( ~ s(s2,truck1,p2_0,truck1,s1,s0)
| s(s2,s1,p2_0,truck1,s1,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(185,plain,
( ( ~ ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) )
| s(s2,s1,p2_0,truck1,s1,s0)
| ~ s(s2,truck1,p2_0,truck1,s1,s0) )
<=> ( ~ ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) )
| ~ s(s2,truck1,p2_0,truck1,s1,s0)
| s(s2,s1,p2_0,truck1,s1,s0) ) ),
inference(monotonicity,[status(thm)],[184]) ).
tff(186,plain,
( ( ~ ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) )
| s(s2,s1,p2_0,truck1,s1,s0)
| ~ s(s2,truck1,p2_0,truck1,s1,s0) )
<=> ( ~ ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) )
| ~ s(s2,truck1,p2_0,truck1,s1,s0)
| s(s2,s1,p2_0,truck1,s1,s0) ) ),
inference(transitivity,[status(thm)],[185,183]) ).
tff(187,plain,
( ~ ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) )
| s(s2,s1,p2_0,truck1,s1,s0)
| ~ s(s2,truck1,p2_0,truck1,s1,s0) ),
inference(quant_inst,[status(thm)],]) ).
tff(188,plain,
( ~ ! [T2: $i,L: $i,O1: $i,D2: $i,D1: $i] :
( s(O1,L,D1,D2,L,T2)
| ~ s(O1,truck1,D1,D2,L,T2) )
| ~ s(s2,truck1,p2_0,truck1,s1,s0)
| s(s2,s1,p2_0,truck1,s1,s0) ),
inference(modus_ponens,[status(thm)],[187,186]) ).
tff(189,plain,
s(s2,s1,p2_0,truck1,s1,s0),
inference(unit_resolution,[status(thm)],[188,182,175]) ).
tff(190,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s1,s2)
| s(s2,s1,p2_0,truck1,s2,s0)
| ~ s(s2,s1,p2_0,truck1,s1,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s1,s2)
| s(s2,s1,p2_0,truck1,s2,s0)
| ~ s(s2,s1,p2_0,truck1,s1,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(191,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s1,s2)
| s(s2,s1,p2_0,truck1,s2,s0)
| ~ s(s2,s1,p2_0,truck1,s1,s0) ),
inference(quant_inst,[status(thm)],]) ).
tff(192,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D1: $i] :
( ~ link(S,D)
| s(O1,O2,D1,truck1,D,T2)
| ~ s(O1,O2,D1,truck1,S,T2) )
| ~ link(s1,s2)
| s(s2,s1,p2_0,truck1,s2,s0)
| ~ s(s2,s1,p2_0,truck1,s1,s0) ),
inference(modus_ponens,[status(thm)],[191,190]) ).
tff(193,plain,
s(s2,s1,p2_0,truck1,s2,s0),
inference(unit_resolution,[status(thm)],[192,117,147,189]) ).
tff(194,plain,
( ~ s(s2,s1,s2,s2,s2,s0)
<=> ~ s(s2,s1,s2,s2,s2,s0) ),
inference(rewrite,[status(thm)],]) ).
tff(195,axiom,
~ s(s2,s1,s2,s2,s2,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tff(196,plain,
~ s(s2,s1,s2,s2,s2,s0),
inference(modus_ponens,[status(thm)],[195,194]) ).
tff(197,plain,
^ [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
refl(
( ( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) )
<=> ( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) ) )),
inference(bind,[status(th)],]) ).
tff(198,plain,
( ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) )
<=> ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) ) ),
inference(quant_intro,[status(thm)],[197]) ).
tff(199,plain,
( ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) )
<=> ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(200,plain,
^ [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
rewrite(
( ( s(O1,O2,D1,L,L,T2)
| ~ s(O1,O2,D1,truck1,L,T2) )
<=> ( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) ) )),
inference(bind,[status(th)],]) ).
tff(201,plain,
( ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( s(O1,O2,D1,L,L,T2)
| ~ s(O1,O2,D1,truck1,L,T2) )
<=> ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) ) ),
inference(quant_intro,[status(thm)],[200]) ).
tff(202,axiom,
! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( s(O1,O2,D1,L,L,T2)
| ~ s(O1,O2,D1,truck1,L,T2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board6) ).
tff(203,plain,
! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) ),
inference(modus_ponens,[status(thm)],[202,201]) ).
tff(204,plain,
! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) ),
inference(modus_ponens,[status(thm)],[203,199]) ).
tff(205,plain,
! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) ),
inference(skolemize,[status(sab)],[204]) ).
tff(206,plain,
! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) ),
inference(modus_ponens,[status(thm)],[205,198]) ).
tff(207,plain,
( ( ~ ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) )
| ~ s(s2,s1,s2,truck1,s2,s0)
| s(s2,s1,s2,s2,s2,s0) )
<=> ( ~ ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) )
| ~ s(s2,s1,s2,truck1,s2,s0)
| s(s2,s1,s2,s2,s2,s0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(208,plain,
( ~ ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) )
| ~ s(s2,s1,s2,truck1,s2,s0)
| s(s2,s1,s2,s2,s2,s0) ),
inference(quant_inst,[status(thm)],]) ).
tff(209,plain,
( ~ ! [T2: $i,O2: $i,L: $i,O1: $i,D1: $i] :
( ~ s(O1,O2,D1,truck1,L,T2)
| s(O1,O2,D1,L,L,T2) )
| ~ s(s2,s1,s2,truck1,s2,s0)
| s(s2,s1,s2,s2,s2,s0) ),
inference(modus_ponens,[status(thm)],[208,207]) ).
tff(210,plain,
~ s(s2,s1,s2,truck1,s2,s0),
inference(unit_resolution,[status(thm)],[209,206,196]) ).
tff(211,plain,
( path(p2_0,s2)
<=> path(p2_0,s2) ),
inference(rewrite,[status(thm)],]) ).
tff(212,axiom,
path(p2_0,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map6) ).
tff(213,plain,
path(p2_0,s2),
inference(modus_ponens,[status(thm)],[212,211]) ).
tff(214,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| s(s2,s1,s2,truck1,s2,s0)
| ~ s(s2,s1,p2_0,truck1,s2,s0)
| ~ path(p2_0,s2) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| s(s2,s1,s2,truck1,s2,s0)
| ~ s(s2,s1,p2_0,truck1,s2,s0)
| ~ path(p2_0,s2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(215,plain,
( ( s(s2,s1,s2,truck1,s2,s0)
| ~ path(p2_0,s2)
| ~ s(s2,s1,p2_0,truck1,s2,s0) )
<=> ( s(s2,s1,s2,truck1,s2,s0)
| ~ s(s2,s1,p2_0,truck1,s2,s0)
| ~ path(p2_0,s2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(216,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| s(s2,s1,s2,truck1,s2,s0)
| ~ path(p2_0,s2)
| ~ s(s2,s1,p2_0,truck1,s2,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| s(s2,s1,s2,truck1,s2,s0)
| ~ s(s2,s1,p2_0,truck1,s2,s0)
| ~ path(p2_0,s2) ) ),
inference(monotonicity,[status(thm)],[215]) ).
tff(217,plain,
( ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| s(s2,s1,s2,truck1,s2,s0)
| ~ path(p2_0,s2)
| ~ s(s2,s1,p2_0,truck1,s2,s0) )
<=> ( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| s(s2,s1,s2,truck1,s2,s0)
| ~ s(s2,s1,p2_0,truck1,s2,s0)
| ~ path(p2_0,s2) ) ),
inference(transitivity,[status(thm)],[216,214]) ).
tff(218,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| s(s2,s1,s2,truck1,s2,s0)
| ~ path(p2_0,s2)
| ~ s(s2,s1,p2_0,truck1,s2,s0) ),
inference(quant_inst,[status(thm)],]) ).
tff(219,plain,
( ~ ! [T2: $i,O2: $i,D: $i,S: $i,O1: $i,D2: $i,T1: $i] :
( s(O1,O2,D,D2,T1,T2)
| ~ path(S,D)
| ~ s(O1,O2,S,D2,T1,T2) )
| s(s2,s1,s2,truck1,s2,s0)
| ~ s(s2,s1,p2_0,truck1,s2,s0)
| ~ path(p2_0,s2) ),
inference(modus_ponens,[status(thm)],[218,217]) ).
tff(220,plain,
$false,
inference(unit_resolution,[status(thm)],[219,137,213,210,193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA031-1.001 : TPTP v8.1.0. Released v3.5.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n026.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 : Fri Sep 2 17:35:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 120.41/77.51 % SZS status Unsatisfiable
% 120.41/77.51 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------