%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT008-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n004.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 06:23:55 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 45
% Syntax : Number of formulae : 85 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 1409 ( 0 equ)
% Maximal formula atoms : 40 ( 16 avg)
% Number of connectives : 2456 (1233 ~;1140 |; 0 &)
% ( 83 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 101 ( 101 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 391 ( 355 !; 0 ?; 391 :)
% Comments :
%------------------------------------------------------------------------------
tff(greater_type,type,
greater: ( $i * $i ) > $o ).
tff(sk1_type,type,
sk1: ( $i * $i ) > $i ).
tff(sk2_type,type,
sk2: $i ).
tff(sk9_type,type,
sk9: $i ).
tff(sk3_type,type,
sk3: $i ).
tff(sk10_type,type,
sk10: $i ).
tff(inertia_type,type,
inertia: ( $i * $i * $i ) > $o ).
tff(organization_type,type,
organization: ( $i * $i ) > $o ).
tff(sk5_type,type,
sk5: $i ).
tff(sk6_type,type,
sk6: $i ).
tff(survival_chance_type,type,
survival_chance: ( $i * $i * $i ) > $o ).
tff(reorganization_free_type,type,
reorganization_free: ( $i * $i * $i ) > $o ).
tff(sk7_type,type,
sk7: $i ).
tff(sk8_type,type,
sk8: $i ).
tff(size_type,type,
size: ( $i * $i * $i ) > $o ).
tff(class_type,type,
class: ( $i * $i * $i ) > $o ).
tff(sk4_type,type,
sk4: $i ).
tff(1,plain,
( organization(sk3,sk10)
<=> organization(sk3,sk10) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
organization(sk3,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_FOL_5) ).
tff(3,plain,
organization(sk3,sk10),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [B: $i,A: $i] :
refl(( ( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
<=> ( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,axiom,
! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_1) ).
tff(8,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk10)
| inertia(sk3,sk1(sk10,sk3),sk10) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk10)
| inertia(sk3,sk1(sk10,sk3),sk10) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk10)
| inertia(sk3,sk1(sk10,sk3),sk10) ),
inference(quant_inst,[status(thm)],[]) ).
tff(13,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk3,sk10)
| inertia(sk3,sk1(sk10,sk3),sk10) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
inertia(sk3,sk1(sk10,sk3),sk10),
inference(unit_resolution,[status(thm)],[13,10,3]) ).
tff(15,plain,
( organization(sk2,sk9)
<=> organization(sk2,sk9) ),
inference(rewrite,[status(thm)],[]) ).
tff(16,axiom,
organization(sk2,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_FOL_4) ).
tff(17,plain,
organization(sk2,sk9),
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk2,sk9)
| inertia(sk2,sk1(sk9,sk2),sk9) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk2,sk9)
| inertia(sk2,sk1(sk9,sk2),sk9) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(19,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk2,sk9)
| inertia(sk2,sk1(sk9,sk2),sk9) ),
inference(quant_inst,[status(thm)],[]) ).
tff(20,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) )
| ~ organization(sk2,sk9)
| inertia(sk2,sk1(sk9,sk2),sk9) ),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
inertia(sk2,sk1(sk9,sk2),sk9),
inference(unit_resolution,[status(thm)],[20,10,17]) ).
tff(22,plain,
( ~ greater(sk6,sk5)
<=> ~ greater(sk6,sk5) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,axiom,
~ greater(sk6,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_FOL_15) ).
tff(24,plain,
~ greater(sk6,sk5),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
( survival_chance(sk3,sk6,sk10)
<=> survival_chance(sk3,sk6,sk10) ),
inference(rewrite,[status(thm)],[]) ).
tff(26,axiom,
survival_chance(sk3,sk6,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_FOL_11) ).
tff(27,plain,
survival_chance(sk3,sk6,sk10),
inference(modus_ponens,[status(thm)],[26,25]) ).
tff(28,plain,
( survival_chance(sk2,sk5,sk9)
<=> survival_chance(sk2,sk5,sk9) ),
inference(rewrite,[status(thm)],[]) ).
tff(29,axiom,
survival_chance(sk2,sk5,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_FOL_10) ).
tff(30,plain,
survival_chance(sk2,sk5,sk9),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
( reorganization_free(sk3,sk10,sk10)
<=> reorganization_free(sk3,sk10,sk10) ),
inference(rewrite,[status(thm)],[]) ).
tff(32,axiom,
reorganization_free(sk3,sk10,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_FOL_7) ).
tff(33,plain,
reorganization_free(sk3,sk10,sk10),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
( reorganization_free(sk2,sk9,sk9)
<=> reorganization_free(sk2,sk9,sk9) ),
inference(rewrite,[status(thm)],[]) ).
tff(35,axiom,
reorganization_free(sk2,sk9,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_FOL_6) ).
tff(36,plain,
reorganization_free(sk2,sk9,sk9),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
^ [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
refl(( ( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) )
<=> ( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
inference(bind,[status(th)],[]) ).
tff(38,plain,
( ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) )
<=> ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) ),
inference(quant_intro,[status(thm)],[37]) ).
tff(39,plain,
( ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) )
<=> ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(40,plain,
^ [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(( ( ~ organization(A,B)
| ~ organization(C,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(A,B,B) ) )),
rewrite(( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(A,B,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D) ) )),
rewrite(( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ inertia(A,E,B) ) )),
rewrite(( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ inertia(A,E,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ inertia(C,F,D) ) )),
rewrite(( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ inertia(C,F,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D)
| ~ survival_chance(A,G,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ survival_chance(A,G,B) ) )),
rewrite(( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ survival_chance(A,G,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D)
| ~ survival_chance(A,G,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D)
| ~ survival_chance(A,G,B)
| ~ survival_chance(C,H,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ survival_chance(C,H,D) ) )),
rewrite(( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ survival_chance(C,H,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D)
| ~ survival_chance(A,G,B)
| ~ survival_chance(C,H,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D)
| ~ survival_chance(A,G,B)
| ~ survival_chance(C,H,D)
| ~ greater(F,E) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ greater(F,E) ) )),
rewrite(( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ greater(F,E) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D)
| ~ survival_chance(A,G,B)
| ~ survival_chance(C,H,D)
| ~ greater(F,E) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D)
| ~ survival_chance(A,G,B)
| ~ survival_chance(C,H,D)
| ~ greater(F,E)
| greater(H,G) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| greater(H,G) ) )),
rewrite(( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| greater(H,G) )
<=> ( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D)
| ~ survival_chance(A,G,B)
| ~ survival_chance(C,H,D)
| ~ greater(F,E)
| greater(H,G) )
<=> ( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) )),
inference(bind,[status(th)],[]) ).
tff(41,plain,
( ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D)
| ~ survival_chance(A,G,B)
| ~ survival_chance(C,H,D)
| ~ greater(F,E)
| greater(H,G) )
<=> ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ) ),
inference(quant_intro,[status(thm)],[40]) ).
tff(42,axiom,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D)
| ~ survival_chance(A,G,B)
| ~ survival_chance(C,H,D)
| ~ greater(F,E)
| greater(H,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL_3) ).
tff(43,plain,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ),
inference(modus_ponens,[status(thm)],[43,39]) ).
tff(45,plain,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ),
inference(skolemize,[status(sab)],[44]) ).
tff(46,plain,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) ),
inference(modus_ponens,[status(thm)],[45,38]) ).
tff(47,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) )
| greater(sk6,sk5)
| ~ organization(sk2,sk9)
| ~ organization(sk3,sk10)
| ~ survival_chance(sk2,sk5,sk9)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ survival_chance(sk3,sk6,sk10)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ reorganization_free(sk3,sk10,sk10) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) )
| greater(sk6,sk5)
| ~ organization(sk2,sk9)
| ~ organization(sk3,sk10)
| ~ survival_chance(sk2,sk5,sk9)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ survival_chance(sk3,sk6,sk10)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ reorganization_free(sk3,sk10,sk10) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,plain,
( ( greater(sk6,sk5)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ survival_chance(sk3,sk6,sk10)
| ~ survival_chance(sk2,sk5,sk9)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ reorganization_free(sk3,sk10,sk10)
| ~ reorganization_free(sk2,sk9,sk9) )
<=> ( greater(sk6,sk5)
| ~ organization(sk2,sk9)
| ~ organization(sk3,sk10)
| ~ survival_chance(sk2,sk5,sk9)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ survival_chance(sk3,sk6,sk10)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ reorganization_free(sk3,sk10,sk10) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(49,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) )
| greater(sk6,sk5)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ survival_chance(sk3,sk6,sk10)
| ~ survival_chance(sk2,sk5,sk9)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ reorganization_free(sk3,sk10,sk10)
| ~ reorganization_free(sk2,sk9,sk9) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) )
| greater(sk6,sk5)
| ~ organization(sk2,sk9)
| ~ organization(sk3,sk10)
| ~ survival_chance(sk2,sk5,sk9)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ survival_chance(sk3,sk6,sk10)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ reorganization_free(sk3,sk10,sk10) ) ),
inference(monotonicity,[status(thm)],[48]) ).
tff(50,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) )
| greater(sk6,sk5)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ survival_chance(sk3,sk6,sk10)
| ~ survival_chance(sk2,sk5,sk9)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ reorganization_free(sk3,sk10,sk10)
| ~ reorganization_free(sk2,sk9,sk9) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) )
| greater(sk6,sk5)
| ~ organization(sk2,sk9)
| ~ organization(sk3,sk10)
| ~ survival_chance(sk2,sk5,sk9)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ survival_chance(sk3,sk6,sk10)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ reorganization_free(sk3,sk10,sk10) ) ),
inference(transitivity,[status(thm)],[49,47]) ).
tff(51,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) )
| greater(sk6,sk5)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ survival_chance(sk3,sk6,sk10)
| ~ survival_chance(sk2,sk5,sk9)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ reorganization_free(sk3,sk10,sk10)
| ~ reorganization_free(sk2,sk9,sk9) ),
inference(quant_inst,[status(thm)],[]) ).
tff(52,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B) )
| greater(sk6,sk5)
| ~ organization(sk2,sk9)
| ~ organization(sk3,sk10)
| ~ survival_chance(sk2,sk5,sk9)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ survival_chance(sk3,sk6,sk10)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ reorganization_free(sk3,sk10,sk10) ),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
~ greater(sk1(sk10,sk3),sk1(sk9,sk2)),
inference(unit_resolution,[status(thm)],[52,46,17,3,36,33,30,27,24,21,14]) ).
tff(54,plain,
( greater(sk8,sk7)
<=> greater(sk8,sk7) ),
inference(rewrite,[status(thm)],[]) ).
tff(55,axiom,
greater(sk8,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_FOL_14) ).
tff(56,plain,
greater(sk8,sk7),
inference(modus_ponens,[status(thm)],[55,54]) ).
tff(57,plain,
( size(sk3,sk8,sk10)
<=> size(sk3,sk8,sk10) ),
inference(rewrite,[status(thm)],[]) ).
tff(58,axiom,
size(sk3,sk8,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_FOL_13) ).
tff(59,plain,
size(sk3,sk8,sk10),
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,plain,
( size(sk2,sk7,sk9)
<=> size(sk2,sk7,sk9) ),
inference(rewrite,[status(thm)],[]) ).
tff(61,axiom,
size(sk2,sk7,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_FOL_12) ).
tff(62,plain,
size(sk2,sk7,sk9),
inference(modus_ponens,[status(thm)],[61,60]) ).
tff(63,plain,
( class(sk3,sk4,sk10)
<=> class(sk3,sk4,sk10) ),
inference(rewrite,[status(thm)],[]) ).
tff(64,axiom,
class(sk3,sk4,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_FOL_9) ).
tff(65,plain,
class(sk3,sk4,sk10),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
( class(sk2,sk4,sk9)
<=> class(sk2,sk4,sk9) ),
inference(rewrite,[status(thm)],[]) ).
tff(67,axiom,
class(sk2,sk4,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_FOL_8) ).
tff(68,plain,
class(sk2,sk4,sk9),
inference(modus_ponens,[status(thm)],[67,66]) ).
tff(69,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
refl(( ( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
<=> ( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],[]) ).
tff(70,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[69]) ).
tff(71,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(72,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(( ( ~ organization(A,B)
| ~ organization(C,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ class(A,E,B) ) )),
rewrite(( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ class(A,E,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D) )
<=> ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ class(C,E,D) ) )),
rewrite(( ( ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ class(C,E,D) )
<=> ( ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D) )
<=> ( ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B) )
<=> ( ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ size(A,F,B) ) )),
rewrite(( ( ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ size(A,F,B) )
<=> ( ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B) )
<=> ( ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D) )
<=> ( ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ size(C,G,D) ) )),
rewrite(( ( ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ size(C,G,D) )
<=> ( ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D) )
<=> ( ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B) )
<=> ( ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(A,H,B) ) )),
rewrite(( ( ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(A,H,B) )
<=> ( ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B) )
<=> ( ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D) )
<=> ( ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,I,D) ) )),
rewrite(( ( ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,I,D) )
<=> ( ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D) )
<=> ( ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F) )
<=> ( ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(G,F) ) )),
rewrite(( ( ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(G,F) )
<=> ( ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F) )
<=> ( ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) )
<=> ( ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(I,H) ) )),
rewrite(( ( ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(I,H) )
<=> ( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) )
<=> ( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],[]) ).
tff(73,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[72]) ).
tff(74,axiom,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL_2) ).
tff(75,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[74,73]) ).
tff(76,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[75,71]) ).
tff(77,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(skolemize,[status(sab)],[76]) ).
tff(78,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[77,70]) ).
tff(79,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk2,sk9)
| ~ organization(sk3,sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ size(sk2,sk7,sk9)
| ~ class(sk2,sk4,sk9)
| ~ size(sk3,sk8,sk10)
| ~ class(sk3,sk4,sk10)
| ~ greater(sk8,sk7) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk2,sk9)
| ~ organization(sk3,sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ size(sk2,sk7,sk9)
| ~ class(sk2,sk4,sk9)
| ~ size(sk3,sk8,sk10)
| ~ class(sk3,sk4,sk10)
| ~ greater(sk8,sk7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(80,plain,
( ( greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ greater(sk8,sk7)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ size(sk3,sk8,sk10)
| ~ size(sk2,sk7,sk9)
| ~ class(sk3,sk4,sk10)
| ~ class(sk2,sk4,sk9)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9) )
<=> ( ~ organization(sk2,sk9)
| ~ organization(sk3,sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ size(sk2,sk7,sk9)
| ~ class(sk2,sk4,sk9)
| ~ size(sk3,sk8,sk10)
| ~ class(sk3,sk4,sk10)
| ~ greater(sk8,sk7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(81,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ greater(sk8,sk7)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ size(sk3,sk8,sk10)
| ~ size(sk2,sk7,sk9)
| ~ class(sk3,sk4,sk10)
| ~ class(sk2,sk4,sk9)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk2,sk9)
| ~ organization(sk3,sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ size(sk2,sk7,sk9)
| ~ class(sk2,sk4,sk9)
| ~ size(sk3,sk8,sk10)
| ~ class(sk3,sk4,sk10)
| ~ greater(sk8,sk7) ) ),
inference(monotonicity,[status(thm)],[80]) ).
tff(82,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ greater(sk8,sk7)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ size(sk3,sk8,sk10)
| ~ size(sk2,sk7,sk9)
| ~ class(sk3,sk4,sk10)
| ~ class(sk2,sk4,sk9)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk2,sk9)
| ~ organization(sk3,sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ size(sk2,sk7,sk9)
| ~ class(sk2,sk4,sk9)
| ~ size(sk3,sk8,sk10)
| ~ class(sk3,sk4,sk10)
| ~ greater(sk8,sk7) ) ),
inference(transitivity,[status(thm)],[81,79]) ).
tff(83,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ greater(sk8,sk7)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ size(sk3,sk8,sk10)
| ~ size(sk2,sk7,sk9)
| ~ class(sk3,sk4,sk10)
| ~ class(sk2,sk4,sk9)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9) ),
inference(quant_inst,[status(thm)],[]) ).
tff(84,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk2,sk9)
| ~ organization(sk3,sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ size(sk2,sk7,sk9)
| ~ class(sk2,sk4,sk9)
| ~ size(sk3,sk8,sk10)
| ~ class(sk3,sk4,sk10)
| ~ greater(sk8,sk7) ),
inference(modus_ponens,[status(thm)],[83,82]) ).
tff(85,plain,
$false,
inference(unit_resolution,[status(thm)],[84,78,17,3,68,65,62,59,56,21,14,53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT008-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.07/0.33 % Computer : n004.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Mon Sep 7 11:46:04 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.12/0.39 % SZS status Unsatisfiable
% 0.12/0.39 % SZS output start Proof
% See solution above
% 0.12/0.42 % E exiting
%------------------------------------------------------------------------------