TSTP Solution File: MGT048-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT048-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n029.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 05:22:12 EDT 2022
% Result : Unsatisfiable 0.15s 0.38s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 40
% Syntax : Number of formulae : 74 ( 16 unt; 11 typ; 0 def)
% Number of atoms : 322 ( 37 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 474 ( 227 ~; 218 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 12 ( 12 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 8 >; 7 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 179 ( 162 !; 0 ?; 179 :)
% Comments :
%------------------------------------------------------------------------------
tff(stock_of_knowledge_type,type,
stock_of_knowledge: ( $i * $i ) > $i ).
tff(sk2_type,type,
sk2: $i ).
tff(sk1_type,type,
sk1: $i ).
tff(sk3_type,type,
sk3: $i ).
tff(smaller_or_equal_type,type,
smaller_or_equal: ( $i * $i ) > $o ).
tff(greater_type,type,
greater: ( $i * $i ) > $o ).
tff(internal_friction_type,type,
internal_friction: ( $i * $i ) > $i ).
tff(age_type,type,
age: ( $i * $i ) > $i ).
tff(organization_type,type,
organization: $i > $o ).
tff(smaller_type,type,
smaller: ( $i * $i ) > $o ).
tff(capability_type,type,
capability: ( $i * $i ) > $i ).
tff(1,plain,
( greater(age(sk1,sk3),age(sk1,sk2))
<=> greater(age(sk1,sk3),age(sk1,sk2)) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_5_38) ).
tff(3,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( organization(sk1)
<=> organization(sk1) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_5_37) ).
tff(6,plain,
organization(sk1),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) )
<=> ( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(10,plain,
^ [B: $i,A: $i,C: $i] :
rewrite(
( ( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(internal_friction(A,B),internal_friction(A,C)) )
<=> ( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(internal_friction(A,B),internal_friction(A,C)) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,axiom,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(internal_friction(A,B),internal_friction(A,C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12_36) ).
tff(13,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) ),
inference(modus_ponens,[status(thm)],[13,9]) ).
tff(15,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) ),
inference(modus_ponens,[status(thm)],[15,8]) ).
tff(17,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) )
| ~ organization(sk1)
| greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(age(sk1,sk3),age(sk1,sk2)) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) )
| ~ organization(sk1)
| greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(age(sk1,sk3),age(sk1,sk2)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) )
| ~ organization(sk1)
| greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(age(sk1,sk3),age(sk1,sk2)) ),
inference(quant_inst,[status(thm)],]) ).
tff(19,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C)) )
| ~ organization(sk1)
| greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(age(sk1,sk3),age(sk1,sk2)) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(unit_resolution,[status(thm)],[19,16,6,3]) ).
tff(21,plain,
( ~ smaller(capability(sk1,sk3),capability(sk1,sk2))
<=> ~ smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(rewrite,[status(thm)],]) ).
tff(22,axiom,
~ smaller(capability(sk1,sk3),capability(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_5_39) ).
tff(23,plain,
~ smaller(capability(sk1,sk3),capability(sk1,sk2)),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) )
<=> ( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ) )),
inference(bind,[status(th)],]) ).
tff(25,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ) ),
inference(quant_intro,[status(thm)],[24]) ).
tff(26,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(27,plain,
^ [B: $i,A: $i,C: $i] :
trans(
monotonicity(
rewrite(
( ( ~ organization(A)
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C)) )
<=> ( ~ organization(A)
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ) )),
( ( ~ organization(A)
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| smaller(capability(A,B),capability(A,C)) )
<=> ( ~ organization(A)
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| smaller(capability(A,B),capability(A,C)) ) )),
rewrite(
( ( ~ organization(A)
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| smaller(capability(A,B),capability(A,C)) )
<=> ( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ) )),
( ( ~ organization(A)
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| smaller(capability(A,B),capability(A,C)) )
<=> ( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ) )),
inference(bind,[status(th)],]) ).
tff(28,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| smaller(capability(A,B),capability(A,C)) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,axiom,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| smaller(capability(A,B),capability(A,C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_33) ).
tff(30,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ),
inference(modus_ponens,[status(thm)],[30,26]) ).
tff(32,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ),
inference(skolemize,[status(sab)],[31]) ).
tff(33,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ),
inference(modus_ponens,[status(thm)],[32,25]) ).
tff(34,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) )
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) )
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
( ( ~ organization(sk1)
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) )
<=> ( smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(36,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) )
| ~ organization(sk1)
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) )
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ),
inference(monotonicity,[status(thm)],[35]) ).
tff(37,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) )
| ~ organization(sk1)
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) )
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ),
inference(transitivity,[status(thm)],[36,34]) ).
tff(38,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) )
| ~ organization(sk1)
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(quant_inst,[status(thm)],]) ).
tff(39,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) )
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
( ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(unit_resolution,[status(thm)],[39,33,6,23]) ).
tff(41,plain,
~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
inference(unit_resolution,[status(thm)],[40,20]) ).
tff(42,plain,
^ [B: $i,A: $i] :
refl(
( ( ( A != B )
| smaller_or_equal(A,B) )
<=> ( ( A != B )
| smaller_or_equal(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(43,plain,
( ! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) )
<=> ! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) ) ),
inference(quant_intro,[status(thm)],[42]) ).
tff(44,plain,
( ! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) )
<=> ! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(45,axiom,
! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
tff(46,plain,
! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) ),
inference(modus_ponens,[status(thm)],[45,44]) ).
tff(47,plain,
! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) ),
inference(skolemize,[status(sab)],[46]) ).
tff(48,plain,
! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) ),
inference(modus_ponens,[status(thm)],[47,43]) ).
tff(49,plain,
( ( ~ ! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) )
| ( stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,sk2) )
| smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) )
<=> ( ~ ! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) )
| ( stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,sk2) )
| smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(50,plain,
( ~ ! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) )
| ( stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,sk2) )
| smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(quant_inst,[status(thm)],]) ).
tff(51,plain,
( ~ ! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) )
| ( stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,sk2) )
| smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,sk2),
inference(unit_resolution,[status(thm)],[51,48,41]) ).
tff(53,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) )
<=> ( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) ) )),
inference(bind,[status(th)],]) ).
tff(54,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) ) ),
inference(quant_intro,[status(thm)],[53]) ).
tff(55,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(56,axiom,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10_35) ).
tff(57,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) ),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) ),
inference(skolemize,[status(sab)],[57]) ).
tff(59,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) ),
inference(modus_ponens,[status(thm)],[58,54]) ).
tff(60,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) )
| ~ organization(sk1)
| ( stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) )
| ~ organization(sk1)
| ( stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(61,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) )
| ~ organization(sk1)
| ( stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(62,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) )
| ~ organization(sk1)
| ( stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ) ),
inference(modus_ponens,[status(thm)],[61,60]) ).
tff(63,plain,
$false,
inference(unit_resolution,[status(thm)],[62,59,6,52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : MGT048-1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.10 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.09/0.30 % Computer : n029.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri Sep 2 03:03:59 EDT 2022
% 0.15/0.32 % CPUTime :
% 0.15/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.15/0.33 Usage: tptp [options] [-file:]file
% 0.15/0.33 -h, -? prints this message.
% 0.15/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.15/0.33 -m, -model generate model.
% 0.15/0.33 -p, -proof generate proof.
% 0.15/0.33 -c, -core generate unsat core of named formulas.
% 0.15/0.33 -st, -statistics display statistics.
% 0.15/0.33 -t:timeout set timeout (in second).
% 0.15/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.15/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.15/0.33 -<param>:<value> configuration parameter and value.
% 0.15/0.33 -o:<output-file> file to place output in.
% 0.15/0.38 % SZS status Unsatisfiable
% 0.15/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------