TSTP Solution File: MGT041-2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT041-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.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 05:22:09 EDT 2022
% Result : Unsatisfiable 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 42
% Syntax : Number of formulae : 78 ( 20 unt; 10 typ; 0 def)
% Number of atoms : 434 ( 0 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 632 ( 304 ~; 285 |; 0 &)
% ( 43 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 38 ( 38 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 6 >; 5 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 136 ( 120 !; 0 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
tff(first_mover_type,type,
first_mover: $i > $o ).
tff(sk1_type,type,
sk1: $i ).
tff(number_of_routines_type,type,
number_of_routines: ( $i * $i * $i ) > $o ).
tff(low_type,type,
low: $i ).
tff(sk2_type,type,
sk2: $i ).
tff(high_type,type,
high: $i ).
tff(founding_time_type,type,
founding_time: ( $i * $i ) > $o ).
tff(organisation_at_time_type,type,
organisation_at_time: ( $i * $i ) > $o ).
tff(efficient_producer_type,type,
efficient_producer: $i > $o ).
tff(has_elaborated_routines_type,type,
has_elaborated_routines: ( $i * $i ) > $o ).
tff(1,plain,
( number_of_routines(sk1,sk2,high)
<=> number_of_routines(sk1,sk2,high) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
number_of_routines(sk1,sk2,high),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a16_6) ).
tff(3,plain,
number_of_routines(sk1,sk2,high),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [B: $i,A: $i] :
refl(
( ( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) )
<=> ( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [B: $i,A: $i] :
( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) )
<=> ! [B: $i,A: $i] :
( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [B: $i,A: $i] :
( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) )
<=> ! [B: $i,A: $i] :
( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
^ [B: $i,A: $i] :
rewrite(
( ( ~ number_of_routines(A,B,low)
| ~ number_of_routines(A,B,high) )
<=> ( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [B: $i,A: $i] :
( ~ number_of_routines(A,B,low)
| ~ number_of_routines(A,B,high) )
<=> ! [B: $i,A: $i] :
( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,axiom,
! [B: $i,A: $i] :
( ~ number_of_routines(A,B,low)
| ~ number_of_routines(A,B,high) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_not_high_and_low_1) ).
tff(10,plain,
! [B: $i,A: $i] :
( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) ),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
! [B: $i,A: $i] :
( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) ),
inference(modus_ponens,[status(thm)],[10,6]) ).
tff(12,plain,
! [B: $i,A: $i] :
( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) ),
inference(skolemize,[status(sab)],[11]) ).
tff(13,plain,
! [B: $i,A: $i] :
( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) ),
inference(modus_ponens,[status(thm)],[12,5]) ).
tff(14,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) )
| ~ number_of_routines(sk1,sk2,high)
| ~ number_of_routines(sk1,sk2,low) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) )
| ~ number_of_routines(sk1,sk2,high)
| ~ number_of_routines(sk1,sk2,low) ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,plain,
( ~ ! [B: $i,A: $i] :
( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) )
| ~ number_of_routines(sk1,sk2,high)
| ~ number_of_routines(sk1,sk2,low) ),
inference(quant_inst,[status(thm)],]) ).
tff(16,plain,
( ~ ! [B: $i,A: $i] :
( ~ number_of_routines(A,B,high)
| ~ number_of_routines(A,B,low) )
| ~ number_of_routines(sk1,sk2,high)
| ~ number_of_routines(sk1,sk2,low) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
~ number_of_routines(sk1,sk2,low),
inference(unit_resolution,[status(thm)],[16,13,3]) ).
tff(18,plain,
( founding_time(sk1,sk2)
<=> founding_time(sk1,sk2) ),
inference(rewrite,[status(thm)],]) ).
tff(19,axiom,
founding_time(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a16_5) ).
tff(20,plain,
founding_time(sk1,sk2),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
( organisation_at_time(sk1,sk2)
<=> organisation_at_time(sk1,sk2) ),
inference(rewrite,[status(thm)],]) ).
tff(22,axiom,
organisation_at_time(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a16_4) ).
tff(23,plain,
organisation_at_time(sk1,sk2),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
^ [B: $i,A: $i] :
refl(
( ( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) )
<=> ( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) ) )),
inference(bind,[status(th)],]) ).
tff(25,plain,
( ! [B: $i,A: $i] :
( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) )
<=> ! [B: $i,A: $i] :
( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) ) ),
inference(quant_intro,[status(thm)],[24]) ).
tff(26,plain,
( ! [B: $i,A: $i] :
( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) )
<=> ! [B: $i,A: $i] :
( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) ) ),
inference(rewrite,[status(thm)],]) ).
tff(27,plain,
^ [B: $i,A: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ~ organisation_at_time(A,B)
| ~ first_mover(A) )
<=> ( ~ organisation_at_time(A,B)
| ~ first_mover(A) ) )),
( ( ~ organisation_at_time(A,B)
| ~ first_mover(A)
| ~ founding_time(A,B) )
<=> ( ~ organisation_at_time(A,B)
| ~ first_mover(A)
| ~ founding_time(A,B) ) )),
rewrite(
( ( ~ organisation_at_time(A,B)
| ~ first_mover(A)
| ~ founding_time(A,B) )
<=> ( ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) ) )),
( ( ~ organisation_at_time(A,B)
| ~ first_mover(A)
| ~ founding_time(A,B) )
<=> ( ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) ) )),
( ( ~ organisation_at_time(A,B)
| ~ first_mover(A)
| ~ founding_time(A,B)
| number_of_routines(A,B,low) )
<=> ( ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A)
| number_of_routines(A,B,low) ) )),
rewrite(
( ( ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A)
| number_of_routines(A,B,low) )
<=> ( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) ) )),
( ( ~ organisation_at_time(A,B)
| ~ first_mover(A)
| ~ founding_time(A,B)
| number_of_routines(A,B,low) )
<=> ( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) ) )),
inference(bind,[status(th)],]) ).
tff(28,plain,
( ! [B: $i,A: $i] :
( ~ organisation_at_time(A,B)
| ~ first_mover(A)
| ~ founding_time(A,B)
| number_of_routines(A,B,low) )
<=> ! [B: $i,A: $i] :
( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,axiom,
! [B: $i,A: $i] :
( ~ organisation_at_time(A,B)
| ~ first_mover(A)
| ~ founding_time(A,B)
| number_of_routines(A,B,low) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a15_3) ).
tff(30,plain,
! [B: $i,A: $i] :
( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
! [B: $i,A: $i] :
( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) ),
inference(modus_ponens,[status(thm)],[30,26]) ).
tff(32,plain,
! [B: $i,A: $i] :
( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) ),
inference(skolemize,[status(sab)],[31]) ).
tff(33,plain,
! [B: $i,A: $i] :
( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) ),
inference(modus_ponens,[status(thm)],[32,25]) ).
tff(34,plain,
( ( ~ ! [B: $i,A: $i] :
( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) )
| number_of_routines(sk1,sk2,low)
| ~ founding_time(sk1,sk2)
| ~ organisation_at_time(sk1,sk2)
| ~ first_mover(sk1) )
<=> ( ~ ! [B: $i,A: $i] :
( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) )
| number_of_routines(sk1,sk2,low)
| ~ founding_time(sk1,sk2)
| ~ organisation_at_time(sk1,sk2)
| ~ first_mover(sk1) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
( ~ ! [B: $i,A: $i] :
( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) )
| number_of_routines(sk1,sk2,low)
| ~ founding_time(sk1,sk2)
| ~ organisation_at_time(sk1,sk2)
| ~ first_mover(sk1) ),
inference(quant_inst,[status(thm)],]) ).
tff(36,plain,
( ~ ! [B: $i,A: $i] :
( number_of_routines(A,B,low)
| ~ founding_time(A,B)
| ~ organisation_at_time(A,B)
| ~ first_mover(A) )
| number_of_routines(sk1,sk2,low)
| ~ founding_time(sk1,sk2)
| ~ organisation_at_time(sk1,sk2)
| ~ first_mover(sk1) ),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
~ first_mover(sk1),
inference(unit_resolution,[status(thm)],[36,33,23,20,17]) ).
tff(38,plain,
( ~ has_elaborated_routines(sk1,sk2)
<=> ~ has_elaborated_routines(sk1,sk2) ),
inference(rewrite,[status(thm)],]) ).
tff(39,axiom,
~ has_elaborated_routines(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a16_7) ).
tff(40,plain,
~ has_elaborated_routines(sk1,sk2),
inference(modus_ponens,[status(thm)],[39,38]) ).
tff(41,plain,
^ [B: $i,A: $i] :
refl(
( ( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) )
<=> ( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(42,plain,
( ! [B: $i,A: $i] :
( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) )
<=> ! [B: $i,A: $i] :
( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) ) ),
inference(quant_intro,[status(thm)],[41]) ).
tff(43,plain,
( ! [B: $i,A: $i] :
( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) )
<=> ! [B: $i,A: $i] :
( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(44,plain,
^ [B: $i,A: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ~ organisation_at_time(A,B)
| ~ efficient_producer(A) )
<=> ( ~ efficient_producer(A)
| ~ organisation_at_time(A,B) ) )),
( ( ~ organisation_at_time(A,B)
| ~ efficient_producer(A)
| ~ founding_time(A,B) )
<=> ( ~ efficient_producer(A)
| ~ organisation_at_time(A,B)
| ~ founding_time(A,B) ) )),
rewrite(
( ( ~ efficient_producer(A)
| ~ organisation_at_time(A,B)
| ~ founding_time(A,B) )
<=> ( ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) ) )),
( ( ~ organisation_at_time(A,B)
| ~ efficient_producer(A)
| ~ founding_time(A,B) )
<=> ( ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) ) )),
( ( ~ organisation_at_time(A,B)
| ~ efficient_producer(A)
| ~ founding_time(A,B)
| has_elaborated_routines(A,B) )
<=> ( ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B)
| has_elaborated_routines(A,B) ) )),
rewrite(
( ( ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B)
| has_elaborated_routines(A,B) )
<=> ( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) ) )),
( ( ~ organisation_at_time(A,B)
| ~ efficient_producer(A)
| ~ founding_time(A,B)
| has_elaborated_routines(A,B) )
<=> ( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(45,plain,
( ! [B: $i,A: $i] :
( ~ organisation_at_time(A,B)
| ~ efficient_producer(A)
| ~ founding_time(A,B)
| has_elaborated_routines(A,B) )
<=> ! [B: $i,A: $i] :
( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) ) ),
inference(quant_intro,[status(thm)],[44]) ).
tff(46,axiom,
! [B: $i,A: $i] :
( ~ organisation_at_time(A,B)
| ~ efficient_producer(A)
| ~ founding_time(A,B)
| has_elaborated_routines(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a14_2) ).
tff(47,plain,
! [B: $i,A: $i] :
( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) ),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
! [B: $i,A: $i] :
( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) ),
inference(modus_ponens,[status(thm)],[47,43]) ).
tff(49,plain,
! [B: $i,A: $i] :
( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) ),
inference(skolemize,[status(sab)],[48]) ).
tff(50,plain,
! [B: $i,A: $i] :
( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) ),
inference(modus_ponens,[status(thm)],[49,42]) ).
tff(51,plain,
( ( ~ ! [B: $i,A: $i] :
( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) )
| has_elaborated_routines(sk1,sk2)
| ~ founding_time(sk1,sk2)
| ~ efficient_producer(sk1)
| ~ organisation_at_time(sk1,sk2) )
<=> ( ~ ! [B: $i,A: $i] :
( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) )
| has_elaborated_routines(sk1,sk2)
| ~ founding_time(sk1,sk2)
| ~ efficient_producer(sk1)
| ~ organisation_at_time(sk1,sk2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(52,plain,
( ~ ! [B: $i,A: $i] :
( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) )
| has_elaborated_routines(sk1,sk2)
| ~ founding_time(sk1,sk2)
| ~ efficient_producer(sk1)
| ~ organisation_at_time(sk1,sk2) ),
inference(quant_inst,[status(thm)],]) ).
tff(53,plain,
( ~ ! [B: $i,A: $i] :
( has_elaborated_routines(A,B)
| ~ founding_time(A,B)
| ~ efficient_producer(A)
| ~ organisation_at_time(A,B) )
| has_elaborated_routines(sk1,sk2)
| ~ founding_time(sk1,sk2)
| ~ efficient_producer(sk1)
| ~ organisation_at_time(sk1,sk2) ),
inference(modus_ponens,[status(thm)],[52,51]) ).
tff(54,plain,
~ efficient_producer(sk1),
inference(unit_resolution,[status(thm)],[53,50,23,20,40]) ).
tff(55,plain,
^ [B: $i,A: $i] :
refl(
( ( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) )
<=> ( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) ) )),
inference(bind,[status(th)],]) ).
tff(56,plain,
( ! [B: $i,A: $i] :
( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) )
<=> ! [B: $i,A: $i] :
( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) ) ),
inference(quant_intro,[status(thm)],[55]) ).
tff(57,plain,
( ! [B: $i,A: $i] :
( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) )
<=> ! [B: $i,A: $i] :
( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) ) ),
inference(rewrite,[status(thm)],]) ).
tff(58,plain,
^ [B: $i,A: $i] :
trans(
monotonicity(
rewrite(
( ( ~ organisation_at_time(A,B)
| first_mover(A) )
<=> ( ~ organisation_at_time(A,B)
| first_mover(A) ) )),
( ( ~ organisation_at_time(A,B)
| first_mover(A)
| efficient_producer(A) )
<=> ( ~ organisation_at_time(A,B)
| first_mover(A)
| efficient_producer(A) ) )),
rewrite(
( ( ~ organisation_at_time(A,B)
| first_mover(A)
| efficient_producer(A) )
<=> ( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) ) )),
( ( ~ organisation_at_time(A,B)
| first_mover(A)
| efficient_producer(A) )
<=> ( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) ) )),
inference(bind,[status(th)],]) ).
tff(59,plain,
( ! [B: $i,A: $i] :
( ~ organisation_at_time(A,B)
| first_mover(A)
| efficient_producer(A) )
<=> ! [B: $i,A: $i] :
( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) ) ),
inference(quant_intro,[status(thm)],[58]) ).
tff(60,axiom,
! [B: $i,A: $i] :
( ~ organisation_at_time(A,B)
| first_mover(A)
| efficient_producer(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t10_8) ).
tff(61,plain,
! [B: $i,A: $i] :
( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) ),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
! [B: $i,A: $i] :
( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) ),
inference(modus_ponens,[status(thm)],[61,57]) ).
tff(63,plain,
! [B: $i,A: $i] :
( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) ),
inference(skolemize,[status(sab)],[62]) ).
tff(64,plain,
! [B: $i,A: $i] :
( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) ),
inference(modus_ponens,[status(thm)],[63,56]) ).
tff(65,plain,
( ( ~ ! [B: $i,A: $i] :
( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) )
| efficient_producer(sk1)
| ~ organisation_at_time(sk1,sk2)
| first_mover(sk1) )
<=> ( ~ ! [B: $i,A: $i] :
( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) )
| efficient_producer(sk1)
| ~ organisation_at_time(sk1,sk2)
| first_mover(sk1) ) ),
inference(rewrite,[status(thm)],]) ).
tff(66,plain,
( ~ ! [B: $i,A: $i] :
( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) )
| efficient_producer(sk1)
| ~ organisation_at_time(sk1,sk2)
| first_mover(sk1) ),
inference(quant_inst,[status(thm)],]) ).
tff(67,plain,
( ~ ! [B: $i,A: $i] :
( efficient_producer(A)
| ~ organisation_at_time(A,B)
| first_mover(A) )
| efficient_producer(sk1)
| ~ organisation_at_time(sk1,sk2)
| first_mover(sk1) ),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
$false,
inference(unit_resolution,[status(thm)],[67,23,64,54,37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT041-2 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n012.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 : Fri Sep 2 02:50:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.39 % SZS status Unsatisfiable
% 0.20/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------