TSTP Solution File: MGT013-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT013-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.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 05:21:49 EDT 2022
% Result : Unsatisfiable 0.20s 0.41s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 78
% Syntax : Number of formulae : 151 ( 39 unt; 13 typ; 0 def)
% Number of atoms : 1504 ( 148 equ)
% Maximal formula atoms : 28 ( 10 avg)
% Number of connectives : 2497 (1240 ~;1147 |; 0 &)
% ( 110 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 109 ( 109 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 6 >; 8 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 472 ( 427 !; 0 ?; 472 :)
% Comments :
%------------------------------------------------------------------------------
tff(greater_type,type,
greater: ( $i * $i ) > $o ).
tff(sk6_type,type,
sk6: $i ).
tff(sk7_type,type,
sk7: $i ).
tff(sk5_type,type,
sk5: $i ).
tff(sk4_type,type,
sk4: $i ).
tff(size_type,type,
size: ( $i * $i * $i ) > $o ).
tff(sk1_type,type,
sk1: $i ).
tff(reorganization_free_type,type,
reorganization_free: ( $i * $i * $i ) > $o ).
tff(organization_type,type,
organization: ( $i * $i ) > $o ).
tff(sk2_type,type,
sk2: $i ).
tff(sk3_type,type,
sk3: $i ).
tff(complexity_type,type,
complexity: ( $i * $i * $i ) > $o ).
tff(time_type,type,
time: $i > $o ).
tff(1,plain,
( greater(sk4,sk5)
<=> greater(sk4,sk5) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
greater(sk4,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_34) ).
tff(3,plain,
greater(sk4,sk5),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( size(sk1,sk5,sk7)
<=> size(sk1,sk5,sk7) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
size(sk1,sk5,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_32) ).
tff(6,plain,
size(sk1,sk5,sk7),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
( size(sk1,sk4,sk6)
<=> size(sk1,sk4,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(8,axiom,
size(sk1,sk4,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_31) ).
tff(9,plain,
size(sk1,sk4,sk6),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
( reorganization_free(sk1,sk6,sk7)
<=> reorganization_free(sk1,sk6,sk7) ),
inference(rewrite,[status(thm)],]) ).
tff(11,axiom,
reorganization_free(sk1,sk6,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_28) ).
tff(12,plain,
reorganization_free(sk1,sk6,sk7),
inference(modus_ponens,[status(thm)],[11,10]) ).
tff(13,plain,
( organization(sk1,sk7)
<=> organization(sk1,sk7) ),
inference(rewrite,[status(thm)],]) ).
tff(14,axiom,
organization(sk1,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_27) ).
tff(15,plain,
organization(sk1,sk7),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( organization(sk1,sk6)
<=> organization(sk1,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(17,axiom,
organization(sk1,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_26) ).
tff(18,plain,
organization(sk1,sk6),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
refl(
( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ) )),
inference(bind,[status(th)],]) ).
tff(20,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ) ),
inference(quant_intro,[status(thm)],[19]) ).
tff(21,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ) ),
inference(rewrite,[status(thm)],]) ).
tff(22,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) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ size(A,D,B) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ size(A,D,B) ) )),
rewrite(
( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ size(A,D,B) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ size(A,D,B) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ size(A,D,B)
| ~ size(A,E,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ size(A,E,C) ) )),
rewrite(
( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ size(A,E,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ size(A,D,B)
| ~ size(A,E,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ~ greater(C,B) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ greater(C,B) ) )),
rewrite(
( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ greater(C,B) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ~ greater(C,B) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ~ greater(C,B)
| ~ greater(D,E) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ greater(D,E) ) )),
rewrite(
( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ greater(D,E) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ~ greater(C,B)
| ~ greater(D,E) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ) )),
inference(bind,[status(th)],]) ).
tff(23,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ~ greater(C,B)
| ~ greater(D,E) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ) ),
inference(quant_intro,[status(thm)],[22]) ).
tff(24,axiom,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ~ greater(C,B)
| ~ greater(D,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_24) ).
tff(25,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ),
inference(modus_ponens,[status(thm)],[25,21]) ).
tff(27,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ),
inference(skolemize,[status(sab)],[26]) ).
tff(28,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) ),
inference(modus_ponens,[status(thm)],[27,20]) ).
tff(29,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk4,sk5)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ size(sk1,sk4,sk6)
| ~ greater(sk7,sk6)
| ~ size(sk1,sk5,sk7) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk4,sk5)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ size(sk1,sk4,sk6)
| ~ greater(sk7,sk6)
| ~ size(sk1,sk5,sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(30,plain,
( ( ~ organization(sk1,sk7)
| ~ organization(sk1,sk6)
| ~ greater(sk4,sk5)
| ~ greater(sk7,sk6)
| ~ size(sk1,sk5,sk7)
| ~ size(sk1,sk4,sk6)
| ~ reorganization_free(sk1,sk6,sk7) )
<=> ( ~ greater(sk4,sk5)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ size(sk1,sk4,sk6)
| ~ greater(sk7,sk6)
| ~ size(sk1,sk5,sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(31,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) )
| ~ organization(sk1,sk7)
| ~ organization(sk1,sk6)
| ~ greater(sk4,sk5)
| ~ greater(sk7,sk6)
| ~ size(sk1,sk5,sk7)
| ~ size(sk1,sk4,sk6)
| ~ reorganization_free(sk1,sk6,sk7) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk4,sk5)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ size(sk1,sk4,sk6)
| ~ greater(sk7,sk6)
| ~ size(sk1,sk5,sk7) ) ),
inference(monotonicity,[status(thm)],[30]) ).
tff(32,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) )
| ~ organization(sk1,sk7)
| ~ organization(sk1,sk6)
| ~ greater(sk4,sk5)
| ~ greater(sk7,sk6)
| ~ size(sk1,sk5,sk7)
| ~ size(sk1,sk4,sk6)
| ~ reorganization_free(sk1,sk6,sk7) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk4,sk5)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ size(sk1,sk4,sk6)
| ~ greater(sk7,sk6)
| ~ size(sk1,sk5,sk7) ) ),
inference(transitivity,[status(thm)],[31,29]) ).
tff(33,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) )
| ~ organization(sk1,sk7)
| ~ organization(sk1,sk6)
| ~ greater(sk4,sk5)
| ~ greater(sk7,sk6)
| ~ size(sk1,sk5,sk7)
| ~ size(sk1,sk4,sk6)
| ~ reorganization_free(sk1,sk6,sk7) ),
inference(quant_inst,[status(thm)],]) ).
tff(34,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk4,sk5)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ size(sk1,sk4,sk6)
| ~ greater(sk7,sk6)
| ~ size(sk1,sk5,sk7) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
~ greater(sk7,sk6),
inference(unit_resolution,[status(thm)],[34,28,18,15,12,9,6,3]) ).
tff(36,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) )
<=> ( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) ) )),
inference(bind,[status(th)],]) ).
tff(37,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) ) ),
inference(quant_intro,[status(thm)],[36]) ).
tff(38,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(39,axiom,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp17_22) ).
tff(40,plain,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) ),
inference(modus_ponens,[status(thm)],[39,38]) ).
tff(41,plain,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) ),
inference(skolemize,[status(sab)],[40]) ).
tff(42,plain,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) ),
inference(modus_ponens,[status(thm)],[41,37]) ).
tff(43,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) )
| ~ reorganization_free(sk1,sk6,sk7)
| reorganization_free(sk1,sk7,sk6) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) )
| ~ reorganization_free(sk1,sk6,sk7)
| reorganization_free(sk1,sk7,sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(44,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) )
| ~ reorganization_free(sk1,sk6,sk7)
| reorganization_free(sk1,sk7,sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(45,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) )
| ~ reorganization_free(sk1,sk6,sk7)
| reorganization_free(sk1,sk7,sk6) ),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
reorganization_free(sk1,sk7,sk6),
inference(unit_resolution,[status(thm)],[45,42,12]) ).
tff(47,plain,
( greater(sk3,sk2)
<=> greater(sk3,sk2) ),
inference(rewrite,[status(thm)],]) ).
tff(48,axiom,
greater(sk3,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_33) ).
tff(49,plain,
greater(sk3,sk2),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
( complexity(sk1,sk3,sk7)
<=> complexity(sk1,sk3,sk7) ),
inference(rewrite,[status(thm)],]) ).
tff(51,axiom,
complexity(sk1,sk3,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_30) ).
tff(52,plain,
complexity(sk1,sk3,sk7),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
( complexity(sk1,sk2,sk6)
<=> complexity(sk1,sk2,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(54,axiom,
complexity(sk1,sk2,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_29) ).
tff(55,plain,
complexity(sk1,sk2,sk6),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
refl(
( ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
<=> ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) ) )),
inference(bind,[status(th)],]) ).
tff(57,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) ) ),
inference(quant_intro,[status(thm)],[56]) ).
tff(58,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) ) ),
inference(rewrite,[status(thm)],]) ).
tff(59,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) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B) ) )),
rewrite(
( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B) )
<=> ( ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B) )
<=> ( ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C) )
<=> ( ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,E,C) ) )),
rewrite(
( ( ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,E,C) )
<=> ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C) )
<=> ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ~ greater(C,B) )
<=> ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ greater(C,B) ) )),
rewrite(
( ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ greater(C,B) )
<=> ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ~ greater(C,B) )
<=> ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ~ greater(C,B)
| ~ greater(D,E) )
<=> ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C)
| ~ greater(D,E) ) )),
rewrite(
( ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C)
| ~ greater(D,E) )
<=> ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ~ greater(C,B)
| ~ greater(D,E) )
<=> ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) ) )),
inference(bind,[status(th)],]) ).
tff(60,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ~ greater(C,B)
| ~ greater(D,E) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) ) ),
inference(quant_intro,[status(thm)],[59]) ).
tff(61,axiom,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ~ greater(C,B)
| ~ greater(D,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_FOL_25) ).
tff(62,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) ),
inference(modus_ponens,[status(thm)],[61,60]) ).
tff(63,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) ),
inference(modus_ponens,[status(thm)],[62,58]) ).
tff(64,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) ),
inference(skolemize,[status(sab)],[63]) ).
tff(65,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) ),
inference(modus_ponens,[status(thm)],[64,57]) ).
tff(66,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk3,sk2)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk3,sk2)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(67,plain,
( ( ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk3,sk2)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) )
<=> ( ~ greater(sk3,sk2)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(68,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk3,sk2)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk3,sk2)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) ) ),
inference(monotonicity,[status(thm)],[67]) ).
tff(69,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk3,sk2)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk3,sk2)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) ) ),
inference(transitivity,[status(thm)],[68,66]) ).
tff(70,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk3,sk2)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(71,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk3,sk2)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) ),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
~ greater(sk6,sk7),
inference(unit_resolution,[status(thm)],[71,65,18,15,55,52,49,46]) ).
tff(73,plain,
^ [B: $i,A: $i] :
refl(
( ( ( A != B )
| ~ greater(A,B) )
<=> ( ( A != B )
| ~ greater(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(74,plain,
( ! [B: $i,A: $i] :
( ( A != B )
| ~ greater(A,B) )
<=> ! [B: $i,A: $i] :
( ( A != B )
| ~ greater(A,B) ) ),
inference(quant_intro,[status(thm)],[73]) ).
tff(75,plain,
( ! [B: $i,A: $i] :
( ( A != B )
| ~ greater(A,B) )
<=> ! [B: $i,A: $i] :
( ( A != B )
| ~ greater(A,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(76,plain,
^ [B: $i,A: $i] :
rewrite(
( ( ~ greater(A,B)
| ( A != B ) )
<=> ( ( A != B )
| ~ greater(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(77,plain,
( ! [B: $i,A: $i] :
( ~ greater(A,B)
| ( A != B ) )
<=> ! [B: $i,A: $i] :
( ( A != B )
| ~ greater(A,B) ) ),
inference(quant_intro,[status(thm)],[76]) ).
tff(78,axiom,
! [B: $i,A: $i] :
( ~ greater(A,B)
| ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1_18) ).
tff(79,plain,
! [B: $i,A: $i] :
( ( A != B )
| ~ greater(A,B) ),
inference(modus_ponens,[status(thm)],[78,77]) ).
tff(80,plain,
! [B: $i,A: $i] :
( ( A != B )
| ~ greater(A,B) ),
inference(modus_ponens,[status(thm)],[79,75]) ).
tff(81,plain,
! [B: $i,A: $i] :
( ( A != B )
| ~ greater(A,B) ),
inference(skolemize,[status(sab)],[80]) ).
tff(82,plain,
! [B: $i,A: $i] :
( ( A != B )
| ~ greater(A,B) ),
inference(modus_ponens,[status(thm)],[81,74]) ).
tff(83,plain,
( ( ~ ! [B: $i,A: $i] :
( ( A != B )
| ~ greater(A,B) )
| ( sk3 != sk2 )
| ~ greater(sk3,sk2) )
<=> ( ~ ! [B: $i,A: $i] :
( ( A != B )
| ~ greater(A,B) )
| ( sk3 != sk2 )
| ~ greater(sk3,sk2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(84,plain,
( ~ ! [B: $i,A: $i] :
( ( A != B )
| ~ greater(A,B) )
| ( sk3 != sk2 )
| ~ greater(sk3,sk2) ),
inference(quant_inst,[status(thm)],]) ).
tff(85,plain,
( ~ ! [B: $i,A: $i] :
( ( A != B )
| ~ greater(A,B) )
| ( sk3 != sk2 )
| ~ greater(sk3,sk2) ),
inference(modus_ponens,[status(thm)],[84,83]) ).
tff(86,plain,
sk3 != sk2,
inference(unit_resolution,[status(thm)],[85,82,49]) ).
tff(87,plain,
^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
refl(
( ( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
<=> ( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(88,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[87]) ).
tff(89,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(90,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)
| ~ complexity(A,D,B) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ complexity(A,D,B) ) )),
rewrite(
( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ complexity(A,D,B) )
<=> ( ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ complexity(A,D,B) )
<=> ( ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C) )
<=> ( ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ complexity(A,E,C) ) )),
rewrite(
( ( ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ complexity(A,E,C) )
<=> ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C) )
<=> ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ( B != C ) )
<=> ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ( B != C ) ) )),
rewrite(
( ( ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ( B != C ) )
<=> ( ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ( B != C ) )
<=> ( ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ( B != C )
| ( D = E ) )
<=> ( ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ( D = E ) ) )),
rewrite(
( ( ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ( D = E ) )
<=> ( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ( B != C )
| ( D = E ) )
<=> ( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(91,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ( B != C )
| ( D = E ) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[90]) ).
tff(92,axiom,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ( B != C )
| ( D = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp18_23) ).
tff(93,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[92,91]) ).
tff(94,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[93,89]) ).
tff(95,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(skolemize,[status(sab)],[94]) ).
tff(96,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[95,88]) ).
tff(97,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
| ( sk3 = sk2 )
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ( sk7 != sk6 )
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
| ( sk3 = sk2 )
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ( sk7 != sk6 )
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(98,plain,
( ( ( sk3 = sk2 )
| ( sk7 != sk6 )
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7) )
<=> ( ( sk3 = sk2 )
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ( sk7 != sk6 )
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(99,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
| ( sk3 = sk2 )
| ( sk7 != sk6 )
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
| ( sk3 = sk2 )
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ( sk7 != sk6 )
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7) ) ),
inference(monotonicity,[status(thm)],[98]) ).
tff(100,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
| ( sk3 = sk2 )
| ( sk7 != sk6 )
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
| ( sk3 = sk2 )
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ( sk7 != sk6 )
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7) ) ),
inference(transitivity,[status(thm)],[99,97]) ).
tff(101,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
| ( sk3 = sk2 )
| ( sk7 != sk6 )
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7) ),
inference(quant_inst,[status(thm)],]) ).
tff(102,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
| ( sk3 = sk2 )
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ( sk7 != sk6 )
| ~ complexity(sk1,sk2,sk6)
| ~ complexity(sk1,sk3,sk7) ),
inference(modus_ponens,[status(thm)],[101,100]) ).
tff(103,plain,
sk7 != sk6,
inference(unit_resolution,[status(thm)],[102,96,18,15,55,52,86]) ).
tff(104,plain,
^ [B: $i,A: $i] :
refl(
( ( time(B)
| ~ organization(A,B) )
<=> ( time(B)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(105,plain,
( ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
<=> ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[104]) ).
tff(106,plain,
( ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
<=> ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(107,plain,
^ [B: $i,A: $i] :
rewrite(
( ( ~ organization(A,B)
| time(B) )
<=> ( time(B)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(108,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| time(B) )
<=> ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[107]) ).
tff(109,axiom,
! [B: $i,A: $i] :
( ~ organization(A,B)
| time(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp15_20) ).
tff(110,plain,
! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[109,108]) ).
tff(111,plain,
! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[110,106]) ).
tff(112,plain,
! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ),
inference(skolemize,[status(sab)],[111]) ).
tff(113,plain,
! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[112,105]) ).
tff(114,plain,
( ( ~ ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
| time(sk7)
| ~ organization(sk1,sk7) )
<=> ( ~ ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
| time(sk7)
| ~ organization(sk1,sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(115,plain,
( ~ ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
| time(sk7)
| ~ organization(sk1,sk7) ),
inference(quant_inst,[status(thm)],]) ).
tff(116,plain,
( ~ ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
| time(sk7)
| ~ organization(sk1,sk7) ),
inference(modus_ponens,[status(thm)],[115,114]) ).
tff(117,plain,
time(sk7),
inference(unit_resolution,[status(thm)],[116,113,15]) ).
tff(118,plain,
( ( ~ ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
| time(sk6)
| ~ organization(sk1,sk6) )
<=> ( ~ ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
| time(sk6)
| ~ organization(sk1,sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(119,plain,
( ~ ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
| time(sk6)
| ~ organization(sk1,sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(120,plain,
( ~ ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
| time(sk6)
| ~ organization(sk1,sk6) ),
inference(modus_ponens,[status(thm)],[119,118]) ).
tff(121,plain,
time(sk6),
inference(unit_resolution,[status(thm)],[120,113,18]) ).
tff(122,plain,
^ [B: $i,A: $i] :
refl(
( ( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
<=> ( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ) )),
inference(bind,[status(th)],]) ).
tff(123,plain,
( ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
<=> ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ) ),
inference(quant_intro,[status(thm)],[122]) ).
tff(124,plain,
( ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
<=> ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ) ),
inference(rewrite,[status(thm)],]) ).
tff(125,plain,
^ [B: $i,A: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ~ time(A)
| ~ time(B)
| greater(A,B) )
<=> ( greater(A,B)
| ~ time(B)
| ~ time(A) ) )),
( ( ~ time(A)
| ~ time(B)
| greater(A,B)
| ( A = B ) )
<=> ( greater(A,B)
| ~ time(B)
| ~ time(A)
| ( A = B ) ) )),
rewrite(
( ( greater(A,B)
| ~ time(B)
| ~ time(A)
| ( A = B ) )
<=> ( ( A = B )
| greater(A,B)
| ~ time(B)
| ~ time(A) ) )),
( ( ~ time(A)
| ~ time(B)
| greater(A,B)
| ( A = B ) )
<=> ( ( A = B )
| greater(A,B)
| ~ time(B)
| ~ time(A) ) )),
( ( ~ time(A)
| ~ time(B)
| greater(A,B)
| ( A = B )
| greater(B,A) )
<=> ( ( A = B )
| greater(A,B)
| ~ time(B)
| ~ time(A)
| greater(B,A) ) )),
rewrite(
( ( ( A = B )
| greater(A,B)
| ~ time(B)
| ~ time(A)
| greater(B,A) )
<=> ( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ) )),
( ( ~ time(A)
| ~ time(B)
| greater(A,B)
| ( A = B )
| greater(B,A) )
<=> ( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ) )),
inference(bind,[status(th)],]) ).
tff(126,plain,
( ! [B: $i,A: $i] :
( ~ time(A)
| ~ time(B)
| greater(A,B)
| ( A = B )
| greater(B,A) )
<=> ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ) ),
inference(quant_intro,[status(thm)],[125]) ).
tff(127,axiom,
! [B: $i,A: $i] :
( ~ time(A)
| ~ time(B)
| greater(A,B)
| ( A = B )
| greater(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp16_21) ).
tff(128,plain,
! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ),
inference(modus_ponens,[status(thm)],[127,126]) ).
tff(129,plain,
! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ),
inference(modus_ponens,[status(thm)],[128,124]) ).
tff(130,plain,
! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ),
inference(skolemize,[status(sab)],[129]) ).
tff(131,plain,
! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ),
inference(modus_ponens,[status(thm)],[130,123]) ).
tff(132,plain,
( ( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| ( sk7 = sk6 )
| greater(sk6,sk7)
| greater(sk7,sk6)
| ~ time(sk6)
| ~ time(sk7) )
<=> ( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| ( sk7 = sk6 )
| greater(sk6,sk7)
| greater(sk7,sk6)
| ~ time(sk6)
| ~ time(sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(133,plain,
( ( ( sk7 = sk6 )
| greater(sk7,sk6)
| greater(sk6,sk7)
| ~ time(sk6)
| ~ time(sk7) )
<=> ( ( sk7 = sk6 )
| greater(sk6,sk7)
| greater(sk7,sk6)
| ~ time(sk6)
| ~ time(sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(134,plain,
( ( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| ( sk7 = sk6 )
| greater(sk7,sk6)
| greater(sk6,sk7)
| ~ time(sk6)
| ~ time(sk7) )
<=> ( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| ( sk7 = sk6 )
| greater(sk6,sk7)
| greater(sk7,sk6)
| ~ time(sk6)
| ~ time(sk7) ) ),
inference(monotonicity,[status(thm)],[133]) ).
tff(135,plain,
( ( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| ( sk7 = sk6 )
| greater(sk7,sk6)
| greater(sk6,sk7)
| ~ time(sk6)
| ~ time(sk7) )
<=> ( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| ( sk7 = sk6 )
| greater(sk6,sk7)
| greater(sk7,sk6)
| ~ time(sk6)
| ~ time(sk7) ) ),
inference(transitivity,[status(thm)],[134,132]) ).
tff(136,plain,
( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| ( sk7 = sk6 )
| greater(sk7,sk6)
| greater(sk6,sk7)
| ~ time(sk6)
| ~ time(sk7) ),
inference(quant_inst,[status(thm)],]) ).
tff(137,plain,
( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| ( sk7 = sk6 )
| greater(sk6,sk7)
| greater(sk7,sk6)
| ~ time(sk6)
| ~ time(sk7) ),
inference(modus_ponens,[status(thm)],[136,135]) ).
tff(138,plain,
$false,
inference(unit_resolution,[status(thm)],[137,131,121,117,103,72,35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT013-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Sep 2 02:40:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 0.20/0.41 % SZS status Unsatisfiable
% 0.20/0.41 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------