TSTP Solution File: MGT017-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT017-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.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 05:21:51 EDT 2022
% Result : Unsatisfiable 0.13s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 64
% Syntax : Number of formulae : 105 ( 35 unt; 17 typ; 0 def)
% Number of atoms : 1731 ( 0 equ)
% Maximal formula atoms : 52 ( 19 avg)
% Number of connectives : 3066 (1542 ~;1431 |; 0 &)
% ( 93 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 119 ( 119 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 8 >; 13 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 412 ( 374 !; 0 ?; 412 :)
% Comments :
%------------------------------------------------------------------------------
tff(greater_type,type,
greater: ( $i * $i ) > $o ).
tff(sk1_type,type,
sk1: ( $i * $i ) > $i ).
tff(sk2_type,type,
sk2: $i ).
tff(sk8_type,type,
sk8: $i ).
tff(sk3_type,type,
sk3: $i ).
tff(inertia_type,type,
inertia: ( $i * $i * $i ) > $o ).
tff(organization_type,type,
organization: ( $i * $i ) > $o ).
tff(sk9_type,type,
sk9: $i ).
tff(sk10_type,type,
sk10: $i ).
tff(reorganization_type_type,type,
reorganization_type: ( $i * $i * $i ) > $o ).
tff(sk4_type,type,
sk4: $i ).
tff(reorganization_type,type,
reorganization: ( $i * $i * $i ) > $o ).
tff(class_type,type,
class: ( $i * $i * $i ) > $o ).
tff(sk5_type,type,
sk5: $i ).
tff(sk6_type,type,
sk6: $i ).
tff(sk7_type,type,
sk7: $i ).
tff(size_type,type,
size: ( $i * $i * $i ) > $o ).
tff(1,plain,
( organization(sk3,sk8)
<=> organization(sk3,sk8) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
organization(sk3,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_FOL_5) ).
tff(3,plain,
organization(sk3,sk8),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [B: $i,A: $i] :
refl(
( ( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
<=> ( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,axiom,
! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_1) ).
tff(8,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk8)
| inertia(sk3,sk1(sk8,sk3),sk8) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk8)
| inertia(sk3,sk1(sk8,sk3),sk8) ) ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk8)
| inertia(sk3,sk1(sk8,sk3),sk8) ),
inference(quant_inst,[status(thm)],]) ).
tff(13,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk8)
| inertia(sk3,sk1(sk8,sk3),sk8) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
inertia(sk3,sk1(sk8,sk3),sk8),
inference(unit_resolution,[status(thm)],[13,10,3]) ).
tff(15,plain,
( organization(sk2,sk8)
<=> organization(sk2,sk8) ),
inference(rewrite,[status(thm)],]) ).
tff(16,axiom,
organization(sk2,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_FOL_4) ).
tff(17,plain,
organization(sk2,sk8),
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk2,sk8)
| inertia(sk2,sk1(sk8,sk2),sk8) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk2,sk8)
| inertia(sk2,sk1(sk8,sk2),sk8) ) ),
inference(rewrite,[status(thm)],]) ).
tff(19,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk2,sk8)
| inertia(sk2,sk1(sk8,sk2),sk8) ),
inference(quant_inst,[status(thm)],]) ).
tff(20,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk2,sk8)
| inertia(sk2,sk1(sk8,sk2),sk8) ),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
inertia(sk2,sk1(sk8,sk2),sk8),
inference(unit_resolution,[status(thm)],[20,10,17]) ).
tff(22,plain,
( ~ greater(sk10,sk9)
<=> ~ greater(sk10,sk9) ),
inference(rewrite,[status(thm)],]) ).
tff(23,axiom,
~ greater(sk10,sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_FOL_16) ).
tff(24,plain,
~ greater(sk10,sk9),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
( reorganization_type(sk3,sk4,sk8)
<=> reorganization_type(sk3,sk4,sk8) ),
inference(rewrite,[status(thm)],]) ).
tff(26,axiom,
reorganization_type(sk3,sk4,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_FOL_12) ).
tff(27,plain,
reorganization_type(sk3,sk4,sk8),
inference(modus_ponens,[status(thm)],[26,25]) ).
tff(28,plain,
( reorganization_type(sk2,sk4,sk8)
<=> reorganization_type(sk2,sk4,sk8) ),
inference(rewrite,[status(thm)],]) ).
tff(29,axiom,
reorganization_type(sk2,sk4,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_FOL_11) ).
tff(30,plain,
reorganization_type(sk2,sk4,sk8),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
( reorganization(sk3,sk8,sk10)
<=> reorganization(sk3,sk8,sk10) ),
inference(rewrite,[status(thm)],]) ).
tff(32,axiom,
reorganization(sk3,sk8,sk10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_FOL_10) ).
tff(33,plain,
reorganization(sk3,sk8,sk10),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
( reorganization(sk2,sk8,sk9)
<=> reorganization(sk2,sk8,sk9) ),
inference(rewrite,[status(thm)],]) ).
tff(35,axiom,
reorganization(sk2,sk8,sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_FOL_9) ).
tff(36,plain,
reorganization(sk2,sk8,sk9),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
( class(sk3,sk5,sk8)
<=> class(sk3,sk5,sk8) ),
inference(rewrite,[status(thm)],]) ).
tff(38,axiom,
class(sk3,sk5,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_FOL_8) ).
tff(39,plain,
class(sk3,sk5,sk8),
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
( class(sk2,sk5,sk8)
<=> class(sk2,sk5,sk8) ),
inference(rewrite,[status(thm)],]) ).
tff(41,axiom,
class(sk2,sk5,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_FOL_7) ).
tff(42,plain,
class(sk2,sk5,sk8),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
( organization(sk3,sk10)
<=> organization(sk3,sk10) ),
inference(rewrite,[status(thm)],]) ).
tff(44,axiom,
organization(sk3,sk10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_FOL_6) ).
tff(45,plain,
organization(sk3,sk10),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
refl(
( ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) )
<=> ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
inference(bind,[status(th)],]) ).
tff(47,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) ),
inference(quant_intro,[status(thm)],[46]) ).
tff(48,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(49,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ~ organization(A,B)
| ~ organization(C,B) )
<=> ( ~ organization(A,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D) )
<=> ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D) ) )),
rewrite(
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ organization(C,B)
| ~ class(A,E,B) ) )),
rewrite(
( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ organization(C,B)
| ~ class(A,E,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ organization(C,B)
| ~ class(C,E,B) ) )),
rewrite(
( ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ organization(C,B)
| ~ class(C,E,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ reorganization(A,B,F) ) )),
rewrite(
( ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ reorganization(A,B,F) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ reorganization(C,B,D) ) )),
rewrite(
( ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ reorganization(C,B,D) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ reorganization_type(A,G,B) ) )),
rewrite(
( ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ reorganization_type(A,G,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ reorganization_type(C,G,B) ) )),
rewrite(
( ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ reorganization_type(C,G,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B)
| ~ inertia(A,H,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ inertia(A,H,B) ) )),
rewrite(
( ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ inertia(A,H,B) )
<=> ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B)
| ~ inertia(A,H,B) )
<=> ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B)
| ~ inertia(A,H,B)
| ~ inertia(C,I,B) )
<=> ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ inertia(C,I,B) ) )),
rewrite(
( ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ inertia(C,I,B) )
<=> ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B)
| ~ inertia(A,H,B)
| ~ inertia(C,I,B) )
<=> ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B)
| ~ inertia(A,H,B)
| ~ inertia(C,I,B)
| ~ greater(I,H) )
<=> ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ greater(I,H) ) )),
rewrite(
( ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| ~ greater(I,H) )
<=> ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B)
| ~ inertia(A,H,B)
| ~ inertia(C,I,B)
| ~ greater(I,H) )
<=> ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B)
| ~ inertia(A,H,B)
| ~ inertia(C,I,B)
| ~ greater(I,H)
| greater(D,F) )
<=> ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| greater(D,F) ) )),
rewrite(
( ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B)
| greater(D,F) )
<=> ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B)
| ~ inertia(A,H,B)
| ~ inertia(C,I,B)
| ~ greater(I,H)
| greater(D,F) )
<=> ( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) )),
inference(bind,[status(th)],]) ).
tff(50,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B)
| ~ inertia(A,H,B)
| ~ inertia(C,I,B)
| ~ greater(I,H)
| greater(D,F) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ) ),
inference(quant_intro,[status(thm)],[49]) ).
tff(51,axiom,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B)
| ~ inertia(A,H,B)
| ~ inertia(C,I,B)
| ~ greater(I,H)
| greater(D,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_FOL_3) ).
tff(52,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ),
inference(modus_ponens,[status(thm)],[52,48]) ).
tff(54,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ),
inference(skolemize,[status(sab)],[53]) ).
tff(55,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) ),
inference(modus_ponens,[status(thm)],[54,47]) ).
tff(56,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) )
| greater(sk10,sk9)
| ~ organization(sk2,sk8)
| ~ organization(sk3,sk8)
| ~ organization(sk3,sk10)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ reorganization_type(sk2,sk4,sk8)
| ~ reorganization(sk2,sk8,sk9)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ class(sk3,sk5,sk8)
| ~ reorganization_type(sk3,sk4,sk8)
| ~ reorganization(sk3,sk8,sk10)
| ~ greater(sk1(sk8,sk3),sk1(sk8,sk2)) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) )
| greater(sk10,sk9)
| ~ organization(sk2,sk8)
| ~ organization(sk3,sk8)
| ~ organization(sk3,sk10)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ reorganization_type(sk2,sk4,sk8)
| ~ reorganization(sk2,sk8,sk9)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ class(sk3,sk5,sk8)
| ~ reorganization_type(sk3,sk4,sk8)
| ~ reorganization(sk3,sk8,sk10)
| ~ greater(sk1(sk8,sk3),sk1(sk8,sk2)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(57,plain,
( ( ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk8)
| greater(sk10,sk9)
| ~ greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ reorganization_type(sk3,sk4,sk8)
| ~ reorganization_type(sk2,sk4,sk8)
| ~ reorganization(sk3,sk8,sk10)
| ~ reorganization(sk2,sk8,sk9)
| ~ class(sk3,sk5,sk8)
| ~ organization(sk3,sk8) )
<=> ( greater(sk10,sk9)
| ~ organization(sk2,sk8)
| ~ organization(sk3,sk8)
| ~ organization(sk3,sk10)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ reorganization_type(sk2,sk4,sk8)
| ~ reorganization(sk2,sk8,sk9)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ class(sk3,sk5,sk8)
| ~ reorganization_type(sk3,sk4,sk8)
| ~ reorganization(sk3,sk8,sk10)
| ~ greater(sk1(sk8,sk3),sk1(sk8,sk2)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(58,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) )
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk8)
| greater(sk10,sk9)
| ~ greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ reorganization_type(sk3,sk4,sk8)
| ~ reorganization_type(sk2,sk4,sk8)
| ~ reorganization(sk3,sk8,sk10)
| ~ reorganization(sk2,sk8,sk9)
| ~ class(sk3,sk5,sk8)
| ~ organization(sk3,sk8) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) )
| greater(sk10,sk9)
| ~ organization(sk2,sk8)
| ~ organization(sk3,sk8)
| ~ organization(sk3,sk10)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ reorganization_type(sk2,sk4,sk8)
| ~ reorganization(sk2,sk8,sk9)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ class(sk3,sk5,sk8)
| ~ reorganization_type(sk3,sk4,sk8)
| ~ reorganization(sk3,sk8,sk10)
| ~ greater(sk1(sk8,sk3),sk1(sk8,sk2)) ) ),
inference(monotonicity,[status(thm)],[57]) ).
tff(59,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) )
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk8)
| greater(sk10,sk9)
| ~ greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ reorganization_type(sk3,sk4,sk8)
| ~ reorganization_type(sk2,sk4,sk8)
| ~ reorganization(sk3,sk8,sk10)
| ~ reorganization(sk2,sk8,sk9)
| ~ class(sk3,sk5,sk8)
| ~ organization(sk3,sk8) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) )
| greater(sk10,sk9)
| ~ organization(sk2,sk8)
| ~ organization(sk3,sk8)
| ~ organization(sk3,sk10)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ reorganization_type(sk2,sk4,sk8)
| ~ reorganization(sk2,sk8,sk9)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ class(sk3,sk5,sk8)
| ~ reorganization_type(sk3,sk4,sk8)
| ~ reorganization(sk3,sk8,sk10)
| ~ greater(sk1(sk8,sk3),sk1(sk8,sk2)) ) ),
inference(transitivity,[status(thm)],[58,56]) ).
tff(60,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) )
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk8)
| greater(sk10,sk9)
| ~ greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ reorganization_type(sk3,sk4,sk8)
| ~ reorganization_type(sk2,sk4,sk8)
| ~ reorganization(sk3,sk8,sk10)
| ~ reorganization(sk2,sk8,sk9)
| ~ class(sk3,sk5,sk8)
| ~ organization(sk3,sk8) ),
inference(quant_inst,[status(thm)],]) ).
tff(61,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(A,H,B)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(D,F)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ organization(C,B) )
| greater(sk10,sk9)
| ~ organization(sk2,sk8)
| ~ organization(sk3,sk8)
| ~ organization(sk3,sk10)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ reorganization_type(sk2,sk4,sk8)
| ~ reorganization(sk2,sk8,sk9)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ class(sk3,sk5,sk8)
| ~ reorganization_type(sk3,sk4,sk8)
| ~ reorganization(sk3,sk8,sk10)
| ~ greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
~ greater(sk1(sk8,sk3),sk1(sk8,sk2)),
inference(unit_resolution,[status(thm)],[61,55,17,3,45,42,39,36,33,30,27,24,21,14]) ).
tff(63,plain,
( greater(sk7,sk6)
<=> greater(sk7,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(64,axiom,
greater(sk7,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_FOL_15) ).
tff(65,plain,
greater(sk7,sk6),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
( size(sk3,sk7,sk8)
<=> size(sk3,sk7,sk8) ),
inference(rewrite,[status(thm)],]) ).
tff(67,axiom,
size(sk3,sk7,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_FOL_14) ).
tff(68,plain,
size(sk3,sk7,sk8),
inference(modus_ponens,[status(thm)],[67,66]) ).
tff(69,plain,
( size(sk2,sk6,sk8)
<=> size(sk2,sk6,sk8) ),
inference(rewrite,[status(thm)],]) ).
tff(70,axiom,
size(sk2,sk6,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_FOL_13) ).
tff(71,plain,
size(sk2,sk6,sk8),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
refl(
( ( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
<=> ( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(73,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[72]) ).
tff(74,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(75,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ~ organization(A,B)
| ~ organization(C,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ class(A,E,B) ) )),
rewrite(
( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ class(A,E,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ class(C,E,D) ) )),
rewrite(
( ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ class(C,E,D) )
<=> ( ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D) )
<=> ( ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B) )
<=> ( ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ size(A,F,B) ) )),
rewrite(
( ( ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ size(A,F,B) )
<=> ( ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B) )
<=> ( ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D) )
<=> ( ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ size(C,G,D) ) )),
rewrite(
( ( ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ size(C,G,D) )
<=> ( ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D) )
<=> ( ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B) )
<=> ( ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(A,H,B) ) )),
rewrite(
( ( ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(A,H,B) )
<=> ( ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B) )
<=> ( ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D) )
<=> ( ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,I,D) ) )),
rewrite(
( ( ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,I,D) )
<=> ( ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D) )
<=> ( ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F) )
<=> ( ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(G,F) ) )),
rewrite(
( ( ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(G,F) )
<=> ( ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F) )
<=> ( ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) )
<=> ( ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(I,H) ) )),
rewrite(
( ( ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(I,H) )
<=> ( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) )
<=> ( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(76,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[75]) ).
tff(77,axiom,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_FOL_2) ).
tff(78,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[78,74]) ).
tff(80,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(skolemize,[status(sab)],[79]) ).
tff(81,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[80,73]) ).
tff(82,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk2,sk8)
| ~ organization(sk3,sk8)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ class(sk3,sk5,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ size(sk2,sk6,sk8)
| ~ size(sk3,sk7,sk8)
| ~ greater(sk7,sk6) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk2,sk8)
| ~ organization(sk3,sk8)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ class(sk3,sk5,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ size(sk2,sk6,sk8)
| ~ size(sk3,sk7,sk8)
| ~ greater(sk7,sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(83,plain,
( ( greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ greater(sk7,sk6)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ size(sk3,sk7,sk8)
| ~ size(sk2,sk6,sk8)
| ~ class(sk3,sk5,sk8)
| ~ class(sk2,sk5,sk8)
| ~ organization(sk3,sk8)
| ~ organization(sk2,sk8) )
<=> ( ~ organization(sk2,sk8)
| ~ organization(sk3,sk8)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ class(sk3,sk5,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ size(sk2,sk6,sk8)
| ~ size(sk3,sk7,sk8)
| ~ greater(sk7,sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(84,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ greater(sk7,sk6)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ size(sk3,sk7,sk8)
| ~ size(sk2,sk6,sk8)
| ~ class(sk3,sk5,sk8)
| ~ class(sk2,sk5,sk8)
| ~ organization(sk3,sk8)
| ~ organization(sk2,sk8) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk2,sk8)
| ~ organization(sk3,sk8)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ class(sk3,sk5,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ size(sk2,sk6,sk8)
| ~ size(sk3,sk7,sk8)
| ~ greater(sk7,sk6) ) ),
inference(monotonicity,[status(thm)],[83]) ).
tff(85,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ greater(sk7,sk6)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ size(sk3,sk7,sk8)
| ~ size(sk2,sk6,sk8)
| ~ class(sk3,sk5,sk8)
| ~ class(sk2,sk5,sk8)
| ~ organization(sk3,sk8)
| ~ organization(sk2,sk8) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk2,sk8)
| ~ organization(sk3,sk8)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ class(sk3,sk5,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ size(sk2,sk6,sk8)
| ~ size(sk3,sk7,sk8)
| ~ greater(sk7,sk6) ) ),
inference(transitivity,[status(thm)],[84,82]) ).
tff(86,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ greater(sk7,sk6)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ size(sk3,sk7,sk8)
| ~ size(sk2,sk6,sk8)
| ~ class(sk3,sk5,sk8)
| ~ class(sk2,sk5,sk8)
| ~ organization(sk3,sk8)
| ~ organization(sk2,sk8) ),
inference(quant_inst,[status(thm)],]) ).
tff(87,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk2,sk8)
| ~ organization(sk3,sk8)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ class(sk2,sk5,sk8)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ class(sk3,sk5,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ size(sk2,sk6,sk8)
| ~ size(sk3,sk7,sk8)
| ~ greater(sk7,sk6) ),
inference(modus_ponens,[status(thm)],[86,85]) ).
tff(88,plain,
$false,
inference(unit_resolution,[status(thm)],[87,81,17,3,42,39,71,68,65,21,14,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT017-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n015.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 02:50:38 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.
% 0.13/0.39 % SZS status Unsatisfiable
% 0.13/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------