TSTP Solution File: CSR147+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR147+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.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 : Tue Sep 20 14:33:05 EDT 2022
% Result : Theorem 0.21s 0.40s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 32
% Syntax : Number of formulae : 51 ( 19 unt; 10 typ; 0 def)
% Number of atoms : 330 ( 0 equ)
% Maximal formula atoms : 24 ( 8 avg)
% Number of connectives : 402 ( 142 ~; 160 |; 56 &)
% ( 30 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 29 ( 29 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 6 >; 4 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 63 ( 54 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
tff(s__more_experienced_type,type,
s__more_experienced: ( $i * $i ) > $o ).
tff(s__siblingFn_type,type,
s__siblingFn: $i > $i ).
tff(jim_type,type,
jim: $i ).
tff(geoff_type,type,
geoff: $i ).
tff(s__has_seen_more_type,type,
s__has_seen_more: ( $i * $i ) > $o ).
tff(greater_type,type,
greater: ( $i * $i ) > $o ).
tff(n48_type,type,
n48: $i ).
tff(n54_type,type,
n54: $i ).
tff(s__age_type,type,
s__age: ( $i * $i ) > $o ).
tff(s__Human_type,type,
s__Human: $i > $o ).
tff(1,plain,
( ~ s__more_experienced(jim,geoff)
<=> ~ s__more_experienced(jim,s__siblingFn(jim)) ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ~ s__more_experienced(jim,geoff)
<=> ~ s__more_experienced(jim,geoff) ),
inference(rewrite,[status(thm)],]) ).
tff(3,axiom,
~ s__more_experienced(jim,geoff),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_is_experienced) ).
tff(4,plain,
~ s__more_experienced(jim,geoff),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
~ s__more_experienced(jim,s__siblingFn(jim)),
inference(modus_ponens,[status(thm)],[4,1]) ).
tff(6,plain,
( ~ s__has_seen_more(geoff,jim)
<=> ~ s__has_seen_more(s__siblingFn(jim),jim) ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
( ~ s__has_seen_more(geoff,jim)
<=> ~ s__has_seen_more(geoff,jim) ),
inference(rewrite,[status(thm)],]) ).
tff(8,axiom,
~ s__has_seen_more(geoff,jim),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_has_seen_more) ).
tff(9,plain,
~ s__has_seen_more(geoff,jim),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
~ s__has_seen_more(s__siblingFn(jim),jim),
inference(modus_ponens,[status(thm)],[9,6]) ).
tff(11,plain,
( greater(n54,n48)
<=> greater(n54,n48) ),
inference(rewrite,[status(thm)],]) ).
tff(12,axiom,
greater(n54,n48),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greater_54_48) ).
tff(13,plain,
greater(n54,n48),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
( s__age(jim,n54)
<=> s__age(jim,n54) ),
inference(rewrite,[status(thm)],]) ).
tff(15,axiom,
s__age(jim,n54),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_54) ).
tff(16,plain,
s__age(jim,n54),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
( s__age(geoff,n48)
<=> s__age(s__siblingFn(jim),n48) ),
inference(rewrite,[status(thm)],]) ).
tff(18,plain,
( s__age(geoff,n48)
<=> s__age(geoff,n48) ),
inference(rewrite,[status(thm)],]) ).
tff(19,axiom,
s__age(geoff,n48),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',geoff_48) ).
tff(20,plain,
s__age(geoff,n48),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
s__age(s__siblingFn(jim),n48),
inference(modus_ponens,[status(thm)],[20,17]) ).
tff(22,plain,
^ [O: $i,OAge: $i,YAge: $i] :
refl(
( ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__Human(O)
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) )
<=> ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__Human(O)
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) ) )),
inference(bind,[status(th)],]) ).
tff(23,plain,
( ! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__Human(O)
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) )
<=> ! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__Human(O)
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) ) ),
inference(quant_intro,[status(thm)],[22]) ).
tff(24,plain,
^ [O: $i,OAge: $i,YAge: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
<=> ~ ( ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) ) )),
( ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
<=> ~ ~ ( ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) ) )),
rewrite(
( ~ ~ ( ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) )
<=> ( ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) ) )),
( ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
<=> ( ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) ) )),
( ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
| ~ s__Human(O) )
<=> ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge)
| ~ s__Human(O) ) )),
rewrite(
( ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge)
| ~ s__Human(O) )
<=> ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__Human(O)
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) ) )),
( ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
| ~ s__Human(O) )
<=> ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__Human(O)
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) ) )),
inference(bind,[status(th)],]) ).
tff(25,plain,
( ! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
| ~ s__Human(O) )
<=> ! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__Human(O)
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) ) ),
inference(quant_intro,[status(thm)],[24]) ).
tff(26,plain,
( ! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
| ~ s__Human(O) )
<=> ! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
| ~ s__Human(O) ) ),
inference(rewrite,[status(thm)],]) ).
tff(27,plain,
^ [O: $i,OAge: $i,YAge: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
<=> ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) ) )),
rewrite(
( ( s__more_experienced(O,s__siblingFn(O))
| s__has_seen_more(s__siblingFn(O),O) )
<=> ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O)) ) )),
( ( ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
=> ( s__more_experienced(O,s__siblingFn(O))
| s__has_seen_more(s__siblingFn(O),O) ) )
<=> ( ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
=> ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O)) ) ) )),
rewrite(
( ( ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
=> ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O)) ) )
<=> ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) ) ) )),
( ( ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
=> ( s__more_experienced(O,s__siblingFn(O))
| s__has_seen_more(s__siblingFn(O),O) ) )
<=> ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) ) ) )),
( ( s__Human(O)
=> ( ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
=> ( s__more_experienced(O,s__siblingFn(O))
| s__has_seen_more(s__siblingFn(O),O) ) ) )
<=> ( s__Human(O)
=> ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) ) ) ) )),
rewrite(
( ( s__Human(O)
=> ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) ) ) )
<=> ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
| ~ s__Human(O) ) )),
( ( s__Human(O)
=> ( ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
=> ( s__more_experienced(O,s__siblingFn(O))
| s__has_seen_more(s__siblingFn(O),O) ) ) )
<=> ( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
| ~ s__Human(O) ) )),
inference(bind,[status(th)],]) ).
tff(28,plain,
( ! [O: $i,OAge: $i,YAge: $i] :
( s__Human(O)
=> ( ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
=> ( s__more_experienced(O,s__siblingFn(O))
| s__has_seen_more(s__siblingFn(O),O) ) ) )
<=> ! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
| ~ s__Human(O) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,axiom,
! [O: $i,OAge: $i,YAge: $i] :
( s__Human(O)
=> ( ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
=> ( s__more_experienced(O,s__siblingFn(O))
| s__has_seen_more(s__siblingFn(O),O) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',experience) ).
tff(30,plain,
! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
| ~ s__Human(O) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
| ~ s__Human(O) ),
inference(modus_ponens,[status(thm)],[30,26]) ).
tff(32,plain,
! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ ( s__age(O,OAge)
& s__age(s__siblingFn(O),YAge)
& greater(OAge,YAge) )
| ~ s__Human(O) ),
inference(skolemize,[status(sab)],[31]) ).
tff(33,plain,
! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__Human(O)
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) ),
inference(modus_ponens,[status(thm)],[32,25]) ).
tff(34,plain,
! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__Human(O)
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) ),
inference(modus_ponens,[status(thm)],[33,23]) ).
tff(35,plain,
( s__Human(jim)
<=> s__Human(jim) ),
inference(rewrite,[status(thm)],]) ).
tff(36,axiom,
s__Human(jim),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_human) ).
tff(37,plain,
s__Human(jim),
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
( ( ~ ! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__Human(O)
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) )
| s__has_seen_more(s__siblingFn(jim),jim)
| s__more_experienced(jim,s__siblingFn(jim))
| ~ s__Human(jim)
| ~ s__age(jim,n54)
| ~ s__age(s__siblingFn(jim),n48)
| ~ greater(n54,n48) )
<=> ( ~ ! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__Human(O)
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) )
| s__has_seen_more(s__siblingFn(jim),jim)
| s__more_experienced(jim,s__siblingFn(jim))
| ~ s__Human(jim)
| ~ s__age(jim,n54)
| ~ s__age(s__siblingFn(jim),n48)
| ~ greater(n54,n48) ) ),
inference(rewrite,[status(thm)],]) ).
tff(39,plain,
( ~ ! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__Human(O)
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) )
| s__has_seen_more(s__siblingFn(jim),jim)
| s__more_experienced(jim,s__siblingFn(jim))
| ~ s__Human(jim)
| ~ s__age(jim,n54)
| ~ s__age(s__siblingFn(jim),n48)
| ~ greater(n54,n48) ),
inference(quant_inst,[status(thm)],]) ).
tff(40,plain,
( ~ ! [O: $i,OAge: $i,YAge: $i] :
( s__has_seen_more(s__siblingFn(O),O)
| s__more_experienced(O,s__siblingFn(O))
| ~ s__Human(O)
| ~ s__age(O,OAge)
| ~ s__age(s__siblingFn(O),YAge)
| ~ greater(OAge,YAge) )
| s__has_seen_more(s__siblingFn(jim),jim)
| s__more_experienced(jim,s__siblingFn(jim))
| ~ s__Human(jim)
| ~ s__age(jim,n54)
| ~ s__age(s__siblingFn(jim),n48)
| ~ greater(n54,n48) ),
inference(modus_ponens,[status(thm)],[39,38]) ).
tff(41,plain,
$false,
inference(unit_resolution,[status(thm)],[40,37,34,21,16,13,10,5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR147+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 31 00:19:16 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.
% 0.21/0.40 % SZS status Theorem
% 0.21/0.40 % SZS output start Proof
% See solution above
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