%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT044-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:05 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 31
% Syntax : Number of formulae : 71 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 343 ( 22 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 495 ( 235 ~; 224 |; 0 &)
% ( 36 <=>; 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 187 ( 171 !; 0 ?; 187 :)
% Comments :
%------------------------------------------------------------------------------
tff(smaller_or_equal_type,type,
smaller_or_equal: ( $i * $i ) > $o ).
tff(internal_friction_type,type,
internal_friction: ( $i * $i ) > $i ).
tff(sk3_type,type,
sk3: $i ).
tff(sk1_type,type,
sk1: $i ).
tff(sk2_type,type,
sk2: $i ).
tff(organization_type,type,
organization: $i > $o ).
tff(greater_type,type,
greater: ( $i * $i ) > $o ).
tff(stock_of_knowledge_type,type,
stock_of_knowledge: ( $i * $i ) > $i ).
tff(age_type,type,
age: ( $i * $i ) > $i ).
tff(capability_type,type,
capability: ( $i * $i ) > $i ).
tff(1,plain,
( organization(sk1)
<=> organization(sk1) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_37) ).
tff(3,plain,
organization(sk1),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [B: $i,A: $i,C: $i] :
refl(( ( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) )
<=> ( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,axiom,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_9_36) ).
tff(8,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) )
| ~ organization(sk1)
| ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3) ) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) )
| ~ organization(sk1)
| ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) )
| ~ organization(sk1)
| ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(13,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) )
| ~ organization(sk1)
| ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3) ) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
internal_friction(sk1,sk2) = internal_friction(sk1,sk3),
inference(unit_resolution,[status(thm)],[13,10,3]) ).
tff(15,plain,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
<=> smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk3)) ),
inference(monotonicity,[status(thm)],[14]) ).
tff(16,plain,
( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
<=> ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk3)) ),
inference(monotonicity,[status(thm)],[15]) ).
tff(17,plain,
( greater(age(sk1,sk3),age(sk1,sk2))
<=> greater(age(sk1,sk3),age(sk1,sk2)) ),
inference(rewrite,[status(thm)],[]) ).
tff(18,axiom,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_38) ).
tff(19,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
^ [B: $i,A: $i,C: $i] :
refl(( ( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
<=> ( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ) )),
inference(bind,[status(th)],[]) ).
tff(21,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ) ),
inference(quant_intro,[status(thm)],[20]) ).
tff(22,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,plain,
^ [B: $i,A: $i,C: $i] :
rewrite(( ( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) )
<=> ( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ) )),
inference(bind,[status(th)],[]) ).
tff(24,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ) ),
inference(quant_intro,[status(thm)],[23]) ).
tff(25,axiom,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_7_35) ).
tff(26,plain,
! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(modus_ponens,[status(thm)],[26,22]) ).
tff(28,plain,
! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(skolemize,[status(sab)],[27]) ).
tff(29,plain,
! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(modus_ponens,[status(thm)],[28,21]) ).
tff(30,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| ~ greater(age(sk1,sk3),age(sk1,sk2))
| ~ organization(sk1)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| ~ greater(age(sk1,sk3),age(sk1,sk2))
| ~ organization(sk1)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,plain,
( ( ~ greater(age(sk1,sk3),age(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1) )
<=> ( ~ greater(age(sk1,sk3),age(sk1,sk2))
| ~ organization(sk1)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(32,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| ~ greater(age(sk1,sk3),age(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| ~ greater(age(sk1,sk3),age(sk1,sk2))
| ~ organization(sk1)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ),
inference(monotonicity,[status(thm)],[31]) ).
tff(33,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| ~ greater(age(sk1,sk3),age(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| ~ greater(age(sk1,sk3),age(sk1,sk2))
| ~ organization(sk1)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ),
inference(transitivity,[status(thm)],[32,30]) ).
tff(34,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| ~ greater(age(sk1,sk3),age(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1) ),
inference(quant_inst,[status(thm)],[]) ).
tff(35,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| ~ greater(age(sk1,sk3),age(sk1,sk2))
| ~ organization(sk1)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
inference(unit_resolution,[status(thm)],[35,29,3,19]) ).
tff(37,plain,
( ~ greater(capability(sk1,sk3),capability(sk1,sk2))
<=> ~ greater(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(rewrite,[status(thm)],[]) ).
tff(38,axiom,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_39) ).
tff(39,plain,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
^ [B: $i,A: $i,C: $i] :
refl(( ( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
<=> ( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ) )),
inference(bind,[status(th)],[]) ).
tff(41,plain,
( ! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
<=> ! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ) ),
inference(quant_intro,[status(thm)],[40]) ).
tff(42,plain,
( ! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
<=> ! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(43,plain,
^ [B: $i,A: $i,C: $i] :
trans(monotonicity(rewrite(( ( ~ organization(A)
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C)) )
<=> ( ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ) )),
( ( ~ organization(A)
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| greater(capability(A,B),capability(A,C)) )
<=> ( ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A)
| greater(capability(A,B),capability(A,C)) ) )),
rewrite(( ( ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A)
| greater(capability(A,B),capability(A,C)) )
<=> ( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ) )),
( ( ~ organization(A)
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| greater(capability(A,B),capability(A,C)) )
<=> ( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ) )),
inference(bind,[status(th)],[]) ).
tff(44,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| greater(capability(A,B),capability(A,C)) )
<=> ! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ) ),
inference(quant_intro,[status(thm)],[43]) ).
tff(45,axiom,
! [B: $i,A: $i,C: $i] :
( ~ organization(A)
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| greater(capability(A,B),capability(A,C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_32) ).
tff(46,plain,
! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(modus_ponens,[status(thm)],[45,44]) ).
tff(47,plain,
! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(modus_ponens,[status(thm)],[46,42]) ).
tff(48,plain,
! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(skolemize,[status(sab)],[47]) ).
tff(49,plain,
! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(modus_ponens,[status(thm)],[48,41]) ).
tff(50,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(51,plain,
( ( greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1) )
<=> ( greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(52,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ),
inference(monotonicity,[status(thm)],[51]) ).
tff(53,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ),
inference(transitivity,[status(thm)],[52,50]) ).
tff(54,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1) ),
inference(quant_inst,[status(thm)],[]) ).
tff(55,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) )
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(unit_resolution,[status(thm)],[55,49,3,39]) ).
tff(57,plain,
~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(unit_resolution,[status(thm)],[56,36]) ).
tff(58,plain,
~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk3)),
inference(modus_ponens,[status(thm)],[57,16]) ).
tff(59,plain,
^ [B: $i] :
refl(( smaller_or_equal(B,B)
<=> smaller_or_equal(B,B) )),
inference(bind,[status(th)],[]) ).
tff(60,plain,
( ! [B: $i] : smaller_or_equal(B,B)
<=> ! [B: $i] : smaller_or_equal(B,B) ),
inference(quant_intro,[status(thm)],[59]) ).
tff(61,plain,
( ! [B: $i] : smaller_or_equal(B,B)
<=> ! [B: $i] : smaller_or_equal(B,B) ),
inference(rewrite,[status(thm)],[]) ).
tff(62,plain,
( ! [B: $i,A: $i] : smaller_or_equal(B,B)
<=> ! [B: $i] : smaller_or_equal(B,B) ),
inference(elim_unused_vars,[status(thm)],[]) ).
tff(63,plain,
( ! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) )
<=> ! [B: $i,A: $i] : smaller_or_equal(B,B) ),
inference(destructive_equality_resolution,[status(thm)],[]) ).
tff(64,plain,
( ! [B: $i,A: $i] :
( ( A != B )
| smaller_or_equal(A,B) )
<=> ! [B: $i] : smaller_or_equal(B,B) ),
inference(transitivity,[status(thm)],[63,62]) ).
tff(65,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(66,plain,
! [B: $i] : smaller_or_equal(B,B),
inference(modus_ponens,[status(thm)],[65,64]) ).
tff(67,plain,
! [B: $i] : smaller_or_equal(B,B),
inference(modus_ponens,[status(thm)],[66,61]) ).
tff(68,plain,
! [B: $i] : smaller_or_equal(B,B),
inference(skolemize,[status(sab)],[67]) ).
tff(69,plain,
! [B: $i] : smaller_or_equal(B,B),
inference(modus_ponens,[status(thm)],[68,60]) ).
tff(70,plain,
( ~ ! [B: $i] : smaller_or_equal(B,B)
| smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk3)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(71,plain,
$false,
inference(unit_resolution,[status(thm)],[70,69,58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT044-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.10/0.35 % Computer : n014.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 7 13:08:28 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.13/0.41 % SZS status Unsatisfiable
% 0.13/0.41 % SZS output start Proof
% See solution above
% 0.13/0.43 % E exiting
%------------------------------------------------------------------------------