%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT014-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:23:57 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 67
% Syntax : Number of formulae : 153 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 1525 ( 117 equ)
% Maximal formula atoms : 28 ( 9 avg)
% Number of connectives : 2493 (1230 ~;1143 |; 0 &)
% ( 120 <=>; 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 : 0 ( 0 >; 0 *; 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 : 505 ( 459 !; 0 ?; 505 :)
% Comments :
%------------------------------------------------------------------------------
tff(greater_type,type,
greater: ( $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(sk7_type,type,
sk7: $i ).
tff(sk1_type,type,
sk1: $i ).
tff(sk6_type,type,
sk6: $i ).
tff(reorganization_free_type,type,
reorganization_free: ( $i * $i * $i ) > $o ).
tff(organization_type,type,
organization: ( $i * $i ) > $o ).
tff(sk3_type,type,
sk3: $i ).
tff(sk2_type,type,
sk2: $i ).
tff(complexity_type,type,
complexity: ( $i * $i * $i ) > $o ).
tff(time_type,type,
time: $i > $o ).
tff(1,plain,
( reorganization_free(sk1,sk6,sk7)
<=> reorganization_free(sk1,sk6,sk7) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
reorganization_free(sk1,sk6,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_FOL_28) ).
tff(3,plain,
reorganization_free(sk1,sk6,sk7),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,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(5,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)],[4]) ).
tff(6,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(7,axiom,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp17_22) ).
tff(8,plain,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,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(12,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(13,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)],[12,11]) ).
tff(14,plain,
reorganization_free(sk1,sk7,sk6),
inference(unit_resolution,[status(thm)],[13,10,3]) ).
tff(15,plain,
( greater(sk5,sk4)
<=> greater(sk5,sk4) ),
inference(rewrite,[status(thm)],[]) ).
tff(16,axiom,
greater(sk5,sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_FOL_33) ).
tff(17,plain,
greater(sk5,sk4),
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
( size(sk1,sk5,sk7)
<=> size(sk1,sk5,sk7) ),
inference(rewrite,[status(thm)],[]) ).
tff(19,axiom,
size(sk1,sk5,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_FOL_32) ).
tff(20,plain,
size(sk1,sk5,sk7),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
( size(sk1,sk4,sk6)
<=> size(sk1,sk4,sk6) ),
inference(rewrite,[status(thm)],[]) ).
tff(22,axiom,
size(sk1,sk4,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_FOL_31) ).
tff(23,plain,
size(sk1,sk4,sk6),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
( organization(sk1,sk7)
<=> organization(sk1,sk7) ),
inference(rewrite,[status(thm)],[]) ).
tff(25,axiom,
organization(sk1,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_FOL_27) ).
tff(26,plain,
organization(sk1,sk7),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
( organization(sk1,sk6)
<=> organization(sk1,sk6) ),
inference(rewrite,[status(thm)],[]) ).
tff(28,axiom,
organization(sk1,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_FOL_26) ).
tff(29,plain,
organization(sk1,sk6),
inference(modus_ponens,[status(thm)],[28,27]) ).
tff(30,plain,
^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
refl(( ( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
<=> ( ~ size(A,E,C)
| ~ size(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(31,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(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] :
( ~ size(A,E,C)
| ~ size(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)],[30]) ).
tff(32,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(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] :
( ~ size(A,E,C)
| ~ size(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(33,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) )
<=> ( ~ size(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)
| ~ size(A,D,B) )
<=> ( ~ size(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)
| ~ size(A,D,B)
| ~ size(A,E,C) )
<=> ( ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ size(A,E,C) ) )),
rewrite(( ( ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ size(A,E,C) )
<=> ( ~ size(A,E,C)
| ~ size(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)
| ~ size(A,D,B)
| ~ size(A,E,C) )
<=> ( ~ size(A,E,C)
| ~ size(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)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ~ greater(C,B) )
<=> ( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ greater(C,B) ) )),
rewrite(( ( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ greater(C,B) )
<=> ( ~ size(A,E,C)
| ~ size(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)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ~ greater(C,B) )
<=> ( ~ size(A,E,C)
| ~ size(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)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ~ greater(C,B)
| ~ greater(D,E) )
<=> ( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C)
| ~ greater(D,E) ) )),
rewrite(( ( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C)
| ~ greater(D,E) )
<=> ( ~ size(A,E,C)
| ~ size(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)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ~ greater(C,B)
| ~ greater(D,E) )
<=> ( ~ size(A,E,C)
| ~ size(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(34,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] :
( ~ size(A,E,C)
| ~ size(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)],[33]) ).
tff(35,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/sandbox/benchmark/theBenchmark.p',t11_FOL_24) ).
tff(36,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(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)],[35,34]) ).
tff(37,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(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)],[36,32]) ).
tff(38,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) ),
inference(skolemize,[status(sab)],[37]) ).
tff(39,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(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)],[38,31]) ).
tff(40,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk5,sk4)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ size(sk1,sk4,sk6)
| ~ size(sk1,sk5,sk7)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk5,sk4)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ size(sk1,sk4,sk6)
| ~ size(sk1,sk5,sk7)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(41,plain,
( ( ~ size(sk1,sk4,sk6)
| ~ size(sk1,sk5,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk5,sk4)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) )
<=> ( ~ greater(sk5,sk4)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ size(sk1,sk4,sk6)
| ~ size(sk1,sk5,sk7)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(42,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ size(sk1,sk4,sk6)
| ~ size(sk1,sk5,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk5,sk4)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk5,sk4)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ size(sk1,sk4,sk6)
| ~ size(sk1,sk5,sk7)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) ) ),
inference(monotonicity,[status(thm)],[41]) ).
tff(43,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ size(sk1,sk4,sk6)
| ~ size(sk1,sk5,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk5,sk4)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk5,sk4)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ size(sk1,sk4,sk6)
| ~ size(sk1,sk5,sk7)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) ) ),
inference(transitivity,[status(thm)],[42,40]) ).
tff(44,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ size(sk1,sk4,sk6)
| ~ size(sk1,sk5,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk5,sk4)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) ),
inference(quant_inst,[status(thm)],[]) ).
tff(45,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(D,E)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C) )
| ~ greater(sk5,sk4)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ size(sk1,sk4,sk6)
| ~ size(sk1,sk5,sk7)
| ~ greater(sk6,sk7)
| ~ reorganization_free(sk1,sk7,sk6) ),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
~ greater(sk6,sk7),
inference(unit_resolution,[status(thm)],[45,39,29,26,23,20,17,14]) ).
tff(47,plain,
( greater(sk2,sk3)
<=> greater(sk2,sk3) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,axiom,
greater(sk2,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_FOL_34) ).
tff(49,plain,
greater(sk2,sk3),
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/sandbox/benchmark/theBenchmark.p',t14_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/sandbox/benchmark/theBenchmark.p',t14_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(( ( ~ 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)
| ~ complexity(A,E,C)
| ~ complexity(A,D,B) ) )),
inference(bind,[status(th)],[]) ).
tff(57,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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) ) ),
inference(quant_intro,[status(thm)],[56]) ).
tff(58,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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) ) ),
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) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B) ) )),
( ( ~ 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) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C) ) )),
rewrite(( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,E,C)
| ~ complexity(A,D,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,E,C)
| ~ complexity(A,D,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ~ greater(C,B) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ greater(C,B) ) )),
rewrite(( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ greater(C,B) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,E,C)
| ~ complexity(A,D,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ~ greater(C,B) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,E,C)
| ~ complexity(A,D,B) ) )),
( ( ~ 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) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ greater(D,E) ) )),
rewrite(( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,E,C)
| ~ complexity(A,D,B)
| ~ greater(D,E) )
<=> ( ~ 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,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ~ greater(C,B)
| ~ greater(D,E) )
<=> ( ~ 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) ) )),
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] :
( ~ 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) ) ),
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/sandbox/benchmark/theBenchmark.p',t12_FOL_25) ).
tff(62,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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) ),
inference(modus_ponens,[status(thm)],[61,60]) ).
tff(63,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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) ),
inference(modus_ponens,[status(thm)],[62,58]) ).
tff(64,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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) ),
inference(skolemize,[status(sab)],[63]) ).
tff(65,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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) ),
inference(modus_ponens,[status(thm)],[64,57]) ).
tff(66,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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) )
| ~ greater(sk2,sk3)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk7,sk6)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ complexity(sk1,sk3,sk7)
| ~ complexity(sk1,sk2,sk6) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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) )
| ~ greater(sk2,sk3)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk7,sk6)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ complexity(sk1,sk3,sk7)
| ~ complexity(sk1,sk2,sk6) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(67,plain,
( ( ~ organization(sk1,sk7)
| ~ organization(sk1,sk6)
| ~ greater(sk2,sk3)
| ~ greater(sk7,sk6)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ complexity(sk1,sk3,sk7)
| ~ complexity(sk1,sk2,sk6) )
<=> ( ~ greater(sk2,sk3)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk7,sk6)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ complexity(sk1,sk3,sk7)
| ~ complexity(sk1,sk2,sk6) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(68,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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(sk1,sk7)
| ~ organization(sk1,sk6)
| ~ greater(sk2,sk3)
| ~ greater(sk7,sk6)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ complexity(sk1,sk3,sk7)
| ~ complexity(sk1,sk2,sk6) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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) )
| ~ greater(sk2,sk3)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk7,sk6)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ complexity(sk1,sk3,sk7)
| ~ complexity(sk1,sk2,sk6) ) ),
inference(monotonicity,[status(thm)],[67]) ).
tff(69,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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(sk1,sk7)
| ~ organization(sk1,sk6)
| ~ greater(sk2,sk3)
| ~ greater(sk7,sk6)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ complexity(sk1,sk3,sk7)
| ~ complexity(sk1,sk2,sk6) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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) )
| ~ greater(sk2,sk3)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk7,sk6)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ complexity(sk1,sk3,sk7)
| ~ complexity(sk1,sk2,sk6) ) ),
inference(transitivity,[status(thm)],[68,66]) ).
tff(70,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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(sk1,sk7)
| ~ organization(sk1,sk6)
| ~ greater(sk2,sk3)
| ~ greater(sk7,sk6)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ complexity(sk1,sk3,sk7)
| ~ complexity(sk1,sk2,sk6) ),
inference(quant_inst,[status(thm)],[]) ).
tff(71,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ 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) )
| ~ greater(sk2,sk3)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ greater(sk7,sk6)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ complexity(sk1,sk3,sk7)
| ~ complexity(sk1,sk2,sk6) ),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
~ greater(sk7,sk6),
inference(unit_resolution,[status(thm)],[71,65,29,26,3,55,52,49]) ).
tff(73,plain,
^ [B: $i,A: $i] :
refl(( ( time(B)
| ~ organization(A,B) )
<=> ( time(B)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],[]) ).
tff(74,plain,
( ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
<=> ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[73]) ).
tff(75,plain,
( ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
<=> ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(76,plain,
^ [B: $i,A: $i] :
rewrite(( ( ~ organization(A,B)
| time(B) )
<=> ( time(B)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],[]) ).
tff(77,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| time(B) )
<=> ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[76]) ).
tff(78,axiom,
! [B: $i,A: $i] :
( ~ organization(A,B)
| time(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp15_20) ).
tff(79,plain,
! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[78,77]) ).
tff(80,plain,
! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[79,75]) ).
tff(81,plain,
! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ),
inference(skolemize,[status(sab)],[80]) ).
tff(82,plain,
! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[81,74]) ).
tff(83,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(84,plain,
( ~ ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
| time(sk7)
| ~ organization(sk1,sk7) ),
inference(quant_inst,[status(thm)],[]) ).
tff(85,plain,
( ~ ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
| time(sk7)
| ~ organization(sk1,sk7) ),
inference(modus_ponens,[status(thm)],[84,83]) ).
tff(86,plain,
time(sk7),
inference(unit_resolution,[status(thm)],[85,82,26]) ).
tff(87,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(88,plain,
( ~ ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
| time(sk6)
| ~ organization(sk1,sk6) ),
inference(quant_inst,[status(thm)],[]) ).
tff(89,plain,
( ~ ! [B: $i,A: $i] :
( time(B)
| ~ organization(A,B) )
| time(sk6)
| ~ organization(sk1,sk6) ),
inference(modus_ponens,[status(thm)],[88,87]) ).
tff(90,plain,
time(sk6),
inference(unit_resolution,[status(thm)],[89,82,29]) ).
tff(91,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(92,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)],[91]) ).
tff(93,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(94,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(95,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)],[94]) ).
tff(96,axiom,
! [B: $i,A: $i] :
( ~ time(A)
| ~ time(B)
| greater(A,B)
| ( A = B )
| greater(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp16_21) ).
tff(97,plain,
! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ),
inference(modus_ponens,[status(thm)],[96,95]) ).
tff(98,plain,
! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ),
inference(modus_ponens,[status(thm)],[97,93]) ).
tff(99,plain,
! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ),
inference(skolemize,[status(sab)],[98]) ).
tff(100,plain,
! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) ),
inference(modus_ponens,[status(thm)],[99,92]) ).
tff(101,plain,
( ( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| greater(sk7,sk6)
| greater(sk6,sk7)
| ( sk6 = sk7 )
| ~ time(sk7)
| ~ time(sk6) )
<=> ( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| greater(sk7,sk6)
| greater(sk6,sk7)
| ( sk6 = sk7 )
| ~ time(sk7)
| ~ time(sk6) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(102,plain,
( ( ( sk6 = sk7 )
| greater(sk6,sk7)
| greater(sk7,sk6)
| ~ time(sk7)
| ~ time(sk6) )
<=> ( greater(sk7,sk6)
| greater(sk6,sk7)
| ( sk6 = sk7 )
| ~ time(sk7)
| ~ time(sk6) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(103,plain,
( ( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| ( sk6 = sk7 )
| greater(sk6,sk7)
| greater(sk7,sk6)
| ~ time(sk7)
| ~ time(sk6) )
<=> ( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| greater(sk7,sk6)
| greater(sk6,sk7)
| ( sk6 = sk7 )
| ~ time(sk7)
| ~ time(sk6) ) ),
inference(monotonicity,[status(thm)],[102]) ).
tff(104,plain,
( ( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| ( sk6 = sk7 )
| greater(sk6,sk7)
| greater(sk7,sk6)
| ~ time(sk7)
| ~ time(sk6) )
<=> ( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| greater(sk7,sk6)
| greater(sk6,sk7)
| ( sk6 = sk7 )
| ~ time(sk7)
| ~ time(sk6) ) ),
inference(transitivity,[status(thm)],[103,101]) ).
tff(105,plain,
( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| ( sk6 = sk7 )
| greater(sk6,sk7)
| greater(sk7,sk6)
| ~ time(sk7)
| ~ time(sk6) ),
inference(quant_inst,[status(thm)],[]) ).
tff(106,plain,
( ~ ! [B: $i,A: $i] :
( ( A = B )
| greater(A,B)
| greater(B,A)
| ~ time(B)
| ~ time(A) )
| greater(sk7,sk6)
| greater(sk6,sk7)
| ( sk6 = sk7 )
| ~ time(sk7)
| ~ time(sk6) ),
inference(modus_ponens,[status(thm)],[105,104]) ).
tff(107,plain,
sk6 = sk7,
inference(unit_resolution,[status(thm)],[106,100,90,86,72,46]) ).
tff(108,plain,
sk7 = sk6,
inference(symmetry,[status(thm)],[107]) ).
tff(109,plain,
( size(sk1,sk4,sk7)
<=> size(sk1,sk4,sk6) ),
inference(monotonicity,[status(thm)],[108]) ).
tff(110,plain,
( size(sk1,sk4,sk6)
<=> size(sk1,sk4,sk7) ),
inference(symmetry,[status(thm)],[109]) ).
tff(111,plain,
size(sk1,sk4,sk7),
inference(modus_ponens,[status(thm)],[23,110]) ).
tff(112,plain,
^ [D: $i,A: $i,E: $i,C: $i] :
refl(( ( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) )
<=> ( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) ) )),
inference(bind,[status(th)],[]) ).
tff(113,plain,
( ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) )
<=> ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) ) ),
inference(quant_intro,[status(thm)],[112]) ).
tff(114,plain,
( ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) )
<=> ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(115,plain,
^ [D: $i,A: $i,E: $i,C: $i] :
rewrite(( ( ~ organization(A,C)
| ( D = E )
| ~ size(A,E,C)
| ~ size(A,D,C)
| ~ organization(A,C) )
<=> ( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) ) )),
inference(bind,[status(th)],[]) ).
tff(116,plain,
( ! [D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ( D = E )
| ~ size(A,E,C)
| ~ size(A,D,C)
| ~ organization(A,C) )
<=> ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) ) ),
inference(quant_intro,[status(thm)],[115]) ).
tff(117,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ( D = E )
| ~ size(A,E,C)
| ~ size(A,D,C)
| ~ organization(A,C) )
<=> ! [D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ( D = E )
| ~ size(A,E,C)
| ~ size(A,D,C)
| ~ organization(A,C) ) ),
inference(elim_unused_vars,[status(thm)],[]) ).
tff(118,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ( D = E )
| ~ size(A,E,C)
| ~ size(A,D,C)
| ~ organization(A,C) ) ),
inference(destructive_equality_resolution,[status(thm)],[]) ).
tff(119,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
<=> ! [D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,C)
| ( D = E )
| ~ size(A,E,C)
| ~ size(A,D,C)
| ~ organization(A,C) ) ),
inference(transitivity,[status(thm)],[118,117]) ).
tff(120,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) )
<=> ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) ) ),
inference(transitivity,[status(thm)],[119,116]) ).
tff(121,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)
| ~ size(A,D,B) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ size(A,D,B) ) )),
rewrite(( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ size(A,D,B) )
<=> ( ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ size(A,D,B) )
<=> ( ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ size(A,D,B)
| ~ size(A,E,C) )
<=> ( ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ size(A,E,C) ) )),
rewrite(( ( ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ size(A,E,C) )
<=> ( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ size(A,D,B)
| ~ size(A,E,C) )
<=> ( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ( B != C ) )
<=> ( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ( B != C ) ) )),
rewrite(( ( ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ( B != C ) )
<=> ( ( B != C )
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ( B != C ) )
<=> ( ( B != C )
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ( B != C )
| ( D = E ) )
<=> ( ( B != C )
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ( D = E ) ) )),
rewrite(( ( ( B != C )
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B)
| ( D = E ) )
<=> ( ( D = E )
| ( B != C )
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ( B != C )
| ( D = E ) )
<=> ( ( D = E )
| ( B != C )
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],[]) ).
tff(122,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ( B != C )
| ( D = E ) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ( B != C )
| ~ size(A,E,C)
| ~ size(A,D,B)
| ~ organization(A,C)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[121]) ).
tff(123,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ( B != C )
| ( D = E ) )
<=> ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) ) ),
inference(transitivity,[status(thm)],[122,120]) ).
tff(124,axiom,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ( B != C )
| ( D = E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp19_23) ).
tff(125,plain,
! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) ),
inference(modus_ponens,[status(thm)],[124,123]) ).
tff(126,plain,
! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) ),
inference(modus_ponens,[status(thm)],[125,114]) ).
tff(127,plain,
! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) ),
inference(skolemize,[status(sab)],[126]) ).
tff(128,plain,
! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) ),
inference(modus_ponens,[status(thm)],[127,113]) ).
tff(129,plain,
( ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) )
| ~ organization(sk1,sk7)
| ~ size(sk1,sk5,sk7)
| ( sk5 = sk4 )
| ~ size(sk1,sk4,sk7) )
<=> ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) )
| ~ organization(sk1,sk7)
| ~ size(sk1,sk5,sk7)
| ( sk5 = sk4 )
| ~ size(sk1,sk4,sk7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(130,plain,
( ( ( sk5 = sk4 )
| ~ size(sk1,sk4,sk7)
| ~ organization(sk1,sk7)
| ~ size(sk1,sk5,sk7) )
<=> ( ~ organization(sk1,sk7)
| ~ size(sk1,sk5,sk7)
| ( sk5 = sk4 )
| ~ size(sk1,sk4,sk7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(131,plain,
( ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) )
| ( sk5 = sk4 )
| ~ size(sk1,sk4,sk7)
| ~ organization(sk1,sk7)
| ~ size(sk1,sk5,sk7) )
<=> ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) )
| ~ organization(sk1,sk7)
| ~ size(sk1,sk5,sk7)
| ( sk5 = sk4 )
| ~ size(sk1,sk4,sk7) ) ),
inference(monotonicity,[status(thm)],[130]) ).
tff(132,plain,
( ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) )
| ( sk5 = sk4 )
| ~ size(sk1,sk4,sk7)
| ~ organization(sk1,sk7)
| ~ size(sk1,sk5,sk7) )
<=> ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) )
| ~ organization(sk1,sk7)
| ~ size(sk1,sk5,sk7)
| ( sk5 = sk4 )
| ~ size(sk1,sk4,sk7) ) ),
inference(transitivity,[status(thm)],[131,129]) ).
tff(133,plain,
( ~ ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) )
| ( sk5 = sk4 )
| ~ size(sk1,sk4,sk7)
| ~ organization(sk1,sk7)
| ~ size(sk1,sk5,sk7) ),
inference(quant_inst,[status(thm)],[]) ).
tff(134,plain,
( ~ ! [D: $i,A: $i,E: $i,C: $i] :
( ( D = E )
| ~ size(A,E,C)
| ~ organization(A,C)
| ~ size(A,D,C) )
| ~ organization(sk1,sk7)
| ~ size(sk1,sk5,sk7)
| ( sk5 = sk4 )
| ~ size(sk1,sk4,sk7) ),
inference(modus_ponens,[status(thm)],[133,132]) ).
tff(135,plain,
( ( sk5 = sk4 )
| ~ size(sk1,sk4,sk7) ),
inference(unit_resolution,[status(thm)],[134,128,26,20]) ).
tff(136,plain,
sk5 = sk4,
inference(unit_resolution,[status(thm)],[135,111]) ).
tff(137,plain,
( greater(sk4,sk5)
<=> greater(sk4,sk4) ),
inference(monotonicity,[status(thm)],[136]) ).
tff(138,plain,
( greater(sk4,sk4)
<=> greater(sk4,sk5) ),
inference(symmetry,[status(thm)],[137]) ).
tff(139,plain,
( greater(sk5,sk4)
<=> greater(sk4,sk4) ),
inference(monotonicity,[status(thm)],[136]) ).
tff(140,plain,
greater(sk4,sk4),
inference(modus_ponens,[status(thm)],[17,139]) ).
tff(141,plain,
greater(sk4,sk5),
inference(modus_ponens,[status(thm)],[140,138]) ).
tff(142,plain,
^ [B: $i,A: $i] :
refl(( ( ~ greater(A,B)
| ~ greater(B,A) )
<=> ( ~ greater(A,B)
| ~ greater(B,A) ) )),
inference(bind,[status(th)],[]) ).
tff(143,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)],[142]) ).
tff(144,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(145,axiom,
! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2_19) ).
tff(146,plain,
! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) ),
inference(modus_ponens,[status(thm)],[145,144]) ).
tff(147,plain,
! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) ),
inference(skolemize,[status(sab)],[146]) ).
tff(148,plain,
! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) ),
inference(modus_ponens,[status(thm)],[147,143]) ).
tff(149,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) )
| ~ greater(sk4,sk5)
| ~ greater(sk5,sk4) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) )
| ~ greater(sk4,sk5)
| ~ greater(sk5,sk4) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(150,plain,
( ~ ! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) )
| ~ greater(sk4,sk5)
| ~ greater(sk5,sk4) ),
inference(quant_inst,[status(thm)],[]) ).
tff(151,plain,
( ~ ! [B: $i,A: $i] :
( ~ greater(A,B)
| ~ greater(B,A) )
| ~ greater(sk4,sk5)
| ~ greater(sk5,sk4) ),
inference(modus_ponens,[status(thm)],[150,149]) ).
tff(152,plain,
~ greater(sk4,sk5),
inference(unit_resolution,[status(thm)],[151,148,17]) ).
tff(153,plain,
$false,
inference(unit_resolution,[status(thm)],[152,141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT014-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 11:48:56 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.41 % SZS status Unsatisfiable
% 0.13/0.41 % SZS output start Proof
% See solution above
% 0.13/0.44 % E exiting
%------------------------------------------------------------------------------