TSTP Solution File: MGT011-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT011-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n009.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 05:21:48 EDT 2022
% Result : Unsatisfiable 0.12s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 67
% Syntax : Number of formulae : 130 ( 32 unt; 13 typ; 0 def)
% Number of atoms : 1538 ( 38 equ)
% Maximal formula atoms : 40 ( 13 avg)
% Number of connectives : 2628 (1318 ~;1209 |; 0 &)
% ( 101 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 111 ( 111 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 8 >; 12 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 493 ( 449 !; 0 ?; 493 :)
% Comments :
%------------------------------------------------------------------------------
tff(class_type,type,
class: ( $i * $i * $i ) > $o ).
tff(sk7_type,type,
sk7: $i ).
tff(sk2_type,type,
sk2: ( $i * $i ) > $i ).
tff(sk3_type,type,
sk3: $i ).
tff(sk6_type,type,
sk6: $i ).
tff(organization_type,type,
organization: ( $i * $i ) > $o ).
tff(reorganization_free_type,type,
reorganization_free: ( $i * $i * $i ) > $o ).
tff(greater_type,type,
greater: ( $i * $i ) > $o ).
tff(sk1_type,type,
sk1: ( $i * $i ) > $i ).
tff(inertia_type,type,
inertia: ( $i * $i * $i ) > $o ).
tff(sk5_type,type,
sk5: $i ).
tff(sk4_type,type,
sk4: $i ).
tff(size_type,type,
size: ( $i * $i * $i ) > $o ).
tff(1,plain,
( organization(sk3,sk7)
<=> organization(sk3,sk7) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
organization(sk3,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_28) ).
tff(3,plain,
organization(sk3,sk7),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [B: $i,A: $i] :
refl(
( ( ~ organization(A,B)
| class(A,sk2(B,A),B) )
<=> ( ~ organization(A,B)
| class(A,sk2(B,A),B) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,axiom,
! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp9_23) ).
tff(8,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) )
| ~ organization(sk3,sk7)
| class(sk3,sk2(sk7,sk3),sk7) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) )
| ~ organization(sk3,sk7)
| class(sk3,sk2(sk7,sk3),sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) )
| ~ organization(sk3,sk7)
| class(sk3,sk2(sk7,sk3),sk7) ),
inference(quant_inst,[status(thm)],]) ).
tff(13,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) )
| ~ organization(sk3,sk7)
| class(sk3,sk2(sk7,sk3),sk7) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
class(sk3,sk2(sk7,sk3),sk7),
inference(unit_resolution,[status(thm)],[13,10,3]) ).
tff(15,plain,
( organization(sk3,sk6)
<=> organization(sk3,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(16,axiom,
organization(sk3,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_27) ).
tff(17,plain,
organization(sk3,sk6),
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) )
| ~ organization(sk3,sk6)
| class(sk3,sk2(sk6,sk3),sk6) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) )
| ~ organization(sk3,sk6)
| class(sk3,sk2(sk6,sk3),sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(19,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) )
| ~ organization(sk3,sk6)
| class(sk3,sk2(sk6,sk3),sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(20,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) )
| ~ organization(sk3,sk6)
| class(sk3,sk2(sk6,sk3),sk6) ),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
class(sk3,sk2(sk6,sk3),sk6),
inference(unit_resolution,[status(thm)],[20,10,17]) ).
tff(22,plain,
( reorganization_free(sk3,sk6,sk7)
<=> reorganization_free(sk3,sk6,sk7) ),
inference(rewrite,[status(thm)],]) ).
tff(23,axiom,
reorganization_free(sk3,sk6,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_29) ).
tff(24,plain,
reorganization_free(sk3,sk6,sk7),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
refl(
( ( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) )
<=> ( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(26,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[25]) ).
tff(27,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(28,plain,
^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ~ organization(A,B)
| ~ organization(A,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) ) )),
rewrite(
( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ class(A,D,B) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ class(A,D,B) ) )),
rewrite(
( ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ class(A,D,B) )
<=> ( ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ class(A,D,B) )
<=> ( ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ class(A,D,B)
| ~ class(A,E,C) )
<=> ( ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ class(A,E,C) ) )),
rewrite(
( ( ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ class(A,E,C) )
<=> ( ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ class(A,D,B)
| ~ class(A,E,C) )
<=> ( ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ class(A,D,B)
| ~ class(A,E,C)
| ( D = E ) )
<=> ( ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ( D = E ) ) )),
rewrite(
( ( ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ( D = E ) )
<=> ( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ class(A,D,B)
| ~ class(A,E,C)
| ( D = E ) )
<=> ( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(29,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ class(A,D,B)
| ~ class(A,E,C)
| ( D = E ) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[28]) ).
tff(30,axiom,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ class(A,D,B)
| ~ class(A,E,C)
| ( D = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp10_24) ).
tff(31,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[31,27]) ).
tff(33,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(skolemize,[status(sab)],[32]) ).
tff(34,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[33,26]) ).
tff(35,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) )
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ reorganization_free(sk3,sk6,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ class(sk3,sk2(sk7,sk3),sk7)
| ( sk2(sk6,sk3) = sk2(sk7,sk3) ) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) )
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ reorganization_free(sk3,sk6,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ class(sk3,sk2(sk7,sk3),sk7)
| ( sk2(sk6,sk3) = sk2(sk7,sk3) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(36,plain,
( ( ( sk2(sk6,sk3) = sk2(sk7,sk3) )
| ~ class(sk3,sk2(sk7,sk3),sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ reorganization_free(sk3,sk6,sk7)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) )
<=> ( ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ reorganization_free(sk3,sk6,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ class(sk3,sk2(sk7,sk3),sk7)
| ( sk2(sk6,sk3) = sk2(sk7,sk3) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(37,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) )
| ( sk2(sk6,sk3) = sk2(sk7,sk3) )
| ~ class(sk3,sk2(sk7,sk3),sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ reorganization_free(sk3,sk6,sk7)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) )
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ reorganization_free(sk3,sk6,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ class(sk3,sk2(sk7,sk3),sk7)
| ( sk2(sk6,sk3) = sk2(sk7,sk3) ) ) ),
inference(monotonicity,[status(thm)],[36]) ).
tff(38,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) )
| ( sk2(sk6,sk3) = sk2(sk7,sk3) )
| ~ class(sk3,sk2(sk7,sk3),sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ reorganization_free(sk3,sk6,sk7)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) )
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ reorganization_free(sk3,sk6,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ class(sk3,sk2(sk7,sk3),sk7)
| ( sk2(sk6,sk3) = sk2(sk7,sk3) ) ) ),
inference(transitivity,[status(thm)],[37,35]) ).
tff(39,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) )
| ( sk2(sk6,sk3) = sk2(sk7,sk3) )
| ~ class(sk3,sk2(sk7,sk3),sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ reorganization_free(sk3,sk6,sk7)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(40,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) )
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ reorganization_free(sk3,sk6,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ class(sk3,sk2(sk7,sk3),sk7)
| ( sk2(sk6,sk3) = sk2(sk7,sk3) ) ),
inference(modus_ponens,[status(thm)],[39,38]) ).
tff(41,plain,
sk2(sk6,sk3) = sk2(sk7,sk3),
inference(unit_resolution,[status(thm)],[40,34,17,3,24,21,14]) ).
tff(42,plain,
( class(sk3,sk2(sk6,sk3),sk7)
<=> class(sk3,sk2(sk7,sk3),sk7) ),
inference(monotonicity,[status(thm)],[41]) ).
tff(43,plain,
( class(sk3,sk2(sk7,sk3),sk7)
<=> class(sk3,sk2(sk6,sk3),sk7) ),
inference(symmetry,[status(thm)],[42]) ).
tff(44,plain,
class(sk3,sk2(sk6,sk3),sk7),
inference(modus_ponens,[status(thm)],[14,43]) ).
tff(45,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(46,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)],[45]) ).
tff(47,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(48,axiom,
! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_20) ).
tff(49,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
inference(skolemize,[status(sab)],[49]) ).
tff(51,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
inference(modus_ponens,[status(thm)],[50,46]) ).
tff(52,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk7)
| inertia(sk3,sk1(sk7,sk3),sk7) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk7)
| inertia(sk3,sk1(sk7,sk3),sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(53,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk7)
| inertia(sk3,sk1(sk7,sk3),sk7) ),
inference(quant_inst,[status(thm)],]) ).
tff(54,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk7)
| inertia(sk3,sk1(sk7,sk3),sk7) ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
inertia(sk3,sk1(sk7,sk3),sk7),
inference(unit_resolution,[status(thm)],[54,51,3]) ).
tff(56,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk6)
| inertia(sk3,sk1(sk6,sk3),sk6) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk6)
| inertia(sk3,sk1(sk6,sk3),sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(57,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk6)
| inertia(sk3,sk1(sk6,sk3),sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(58,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk6)
| inertia(sk3,sk1(sk6,sk3),sk6) ),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
inertia(sk3,sk1(sk6,sk3),sk6),
inference(unit_resolution,[status(thm)],[58,51,17]) ).
tff(60,plain,
( greater(sk7,sk6)
<=> greater(sk7,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(61,axiom,
greater(sk7,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_32) ).
tff(62,plain,
greater(sk7,sk6),
inference(modus_ponens,[status(thm)],[61,60]) ).
tff(63,plain,
^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
refl(
( ( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
<=> ( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ) )),
inference(bind,[status(th)],]) ).
tff(64,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ) ),
inference(quant_intro,[status(thm)],[63]) ).
tff(65,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ) ),
inference(rewrite,[status(thm)],]) ).
tff(66,plain,
^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ~ organization(A,B)
| ~ organization(A,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) ) )),
rewrite(
( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ inertia(A,D,B) ) )),
rewrite(
( ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ inertia(A,D,B) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ inertia(A,D,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ inertia(A,D,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ) )),
rewrite(
( ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| ~ greater(C,B) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| ~ greater(C,B) ) )),
rewrite(
( ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| ~ greater(C,B) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| ~ greater(C,B) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| ~ greater(C,B)
| greater(E,D) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| greater(E,D) ) )),
rewrite(
( ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| greater(E,D) )
<=> ( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| ~ greater(C,B)
| greater(E,D) )
<=> ( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ) )),
inference(bind,[status(th)],]) ).
tff(67,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| ~ greater(C,B)
| greater(E,D) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ) ),
inference(quant_intro,[status(thm)],[66]) ).
tff(68,axiom,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| ~ greater(C,B)
| greater(E,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_26) ).
tff(69,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ),
inference(modus_ponens,[status(thm)],[68,67]) ).
tff(70,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ),
inference(modus_ponens,[status(thm)],[69,65]) ).
tff(71,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ),
inference(skolemize,[status(sab)],[70]) ).
tff(72,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) ),
inference(modus_ponens,[status(thm)],[71,64]) ).
tff(73,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ greater(sk7,sk6)
| greater(sk1(sk7,sk3),sk1(sk6,sk3))
| ~ reorganization_free(sk3,sk6,sk7)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ greater(sk7,sk6)
| greater(sk1(sk7,sk3),sk1(sk6,sk3))
| ~ reorganization_free(sk3,sk6,sk7)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(74,plain,
( ( greater(sk1(sk7,sk3),sk1(sk6,sk3))
| ~ reorganization_free(sk3,sk6,sk7)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| ~ greater(sk7,sk6)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7) )
<=> ( ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ greater(sk7,sk6)
| greater(sk1(sk7,sk3),sk1(sk6,sk3))
| ~ reorganization_free(sk3,sk6,sk7)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(75,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
| greater(sk1(sk7,sk3),sk1(sk6,sk3))
| ~ reorganization_free(sk3,sk6,sk7)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| ~ greater(sk7,sk6)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ greater(sk7,sk6)
| greater(sk1(sk7,sk3),sk1(sk6,sk3))
| ~ reorganization_free(sk3,sk6,sk7)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7) ) ),
inference(monotonicity,[status(thm)],[74]) ).
tff(76,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
| greater(sk1(sk7,sk3),sk1(sk6,sk3))
| ~ reorganization_free(sk3,sk6,sk7)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| ~ greater(sk7,sk6)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ greater(sk7,sk6)
| greater(sk1(sk7,sk3),sk1(sk6,sk3))
| ~ reorganization_free(sk3,sk6,sk7)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7) ) ),
inference(transitivity,[status(thm)],[75,73]) ).
tff(77,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
| greater(sk1(sk7,sk3),sk1(sk6,sk3))
| ~ reorganization_free(sk3,sk6,sk7)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| ~ greater(sk7,sk6)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7) ),
inference(quant_inst,[status(thm)],]) ).
tff(78,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( greater(E,D)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C) )
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ greater(sk7,sk6)
| greater(sk1(sk7,sk3),sk1(sk6,sk3))
| ~ reorganization_free(sk3,sk6,sk7)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7) ),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
greater(sk1(sk7,sk3),sk1(sk6,sk3)),
inference(unit_resolution,[status(thm)],[78,72,17,3,24,62,59,55]) ).
tff(80,plain,
^ [B: $i,A: $i] :
refl(
( ( ~ greater(A,B)
| ~ greater(B,A) )
<=> ( ~ greater(A,B)
| ~ greater(B,A) ) )),
inference(bind,[status(th)],]) ).
tff(81,plain,
( ! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) )
<=> ! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) ) ),
inference(quant_intro,[status(thm)],[80]) ).
tff(82,plain,
( ! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) )
<=> ! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) ) ),
inference(rewrite,[status(thm)],]) ).
tff(83,axiom,
! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2_22) ).
tff(84,plain,
! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) ),
inference(modus_ponens,[status(thm)],[83,82]) ).
tff(85,plain,
! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) ),
inference(skolemize,[status(sab)],[84]) ).
tff(86,plain,
! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) ),
inference(modus_ponens,[status(thm)],[85,81]) ).
tff(87,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) )
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk1(sk7,sk3),sk1(sk6,sk3)) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) )
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk1(sk7,sk3),sk1(sk6,sk3)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(88,plain,
( ~ ! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) )
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk1(sk7,sk3),sk1(sk6,sk3)) ),
inference(quant_inst,[status(thm)],]) ).
tff(89,plain,
( ~ ! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) )
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk1(sk7,sk3),sk1(sk6,sk3)) ),
inference(modus_ponens,[status(thm)],[88,87]) ).
tff(90,plain,
~ greater(sk1(sk6,sk3),sk1(sk7,sk3)),
inference(unit_resolution,[status(thm)],[89,86,79]) ).
tff(91,plain,
( greater(sk4,sk5)
<=> greater(sk4,sk5) ),
inference(rewrite,[status(thm)],]) ).
tff(92,axiom,
greater(sk4,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_33) ).
tff(93,plain,
greater(sk4,sk5),
inference(modus_ponens,[status(thm)],[92,91]) ).
tff(94,plain,
( size(sk3,sk5,sk7)
<=> size(sk3,sk5,sk7) ),
inference(rewrite,[status(thm)],]) ).
tff(95,axiom,
size(sk3,sk5,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_31) ).
tff(96,plain,
size(sk3,sk5,sk7),
inference(modus_ponens,[status(thm)],[95,94]) ).
tff(97,plain,
( size(sk3,sk4,sk6)
<=> size(sk3,sk4,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(98,axiom,
size(sk3,sk4,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_30) ).
tff(99,plain,
size(sk3,sk4,sk6),
inference(modus_ponens,[status(thm)],[98,97]) ).
tff(100,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(101,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)],[100]) ).
tff(102,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(103,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(104,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)],[103]) ).
tff(105,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_25) ).
tff(106,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)],[105,104]) ).
tff(107,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)],[106,102]) ).
tff(108,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)],[107]) ).
tff(109,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)],[108,101]) ).
tff(110,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(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ greater(sk4,sk5)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ size(sk3,sk4,sk6)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ size(sk3,sk5,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk7) )
<=> ( ~ ! [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(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ greater(sk4,sk5)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ size(sk3,sk4,sk6)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ size(sk3,sk5,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(111,plain,
( ( greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk4,sk5)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ size(sk3,sk4,sk6)
| ~ size(sk3,sk5,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ class(sk3,sk2(sk6,sk3),sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7) )
<=> ( ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ greater(sk4,sk5)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ size(sk3,sk4,sk6)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ size(sk3,sk5,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(112,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(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk4,sk5)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ size(sk3,sk4,sk6)
| ~ size(sk3,sk5,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ class(sk3,sk2(sk6,sk3),sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7) )
<=> ( ~ ! [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(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ greater(sk4,sk5)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ size(sk3,sk4,sk6)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ size(sk3,sk5,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk7) ) ),
inference(monotonicity,[status(thm)],[111]) ).
tff(113,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(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk4,sk5)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ size(sk3,sk4,sk6)
| ~ size(sk3,sk5,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ class(sk3,sk2(sk6,sk3),sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7) )
<=> ( ~ ! [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(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ greater(sk4,sk5)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ size(sk3,sk4,sk6)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ size(sk3,sk5,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk7) ) ),
inference(transitivity,[status(thm)],[112,110]) ).
tff(114,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(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk4,sk5)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ size(sk3,sk4,sk6)
| ~ size(sk3,sk5,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ class(sk3,sk2(sk6,sk3),sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7) ),
inference(quant_inst,[status(thm)],]) ).
tff(115,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(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ greater(sk4,sk5)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ size(sk3,sk4,sk6)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ size(sk3,sk5,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk7) ),
inference(modus_ponens,[status(thm)],[114,113]) ).
tff(116,plain,
( greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ class(sk3,sk2(sk6,sk3),sk7) ),
inference(unit_resolution,[status(thm)],[115,109,17,3,99,96,93,59,21,55]) ).
tff(117,plain,
$false,
inference(unit_resolution,[status(thm)],[116,90,44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : MGT011-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Sep 2 02:35:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------