%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL115-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n016.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 : Mon Sep 7 11:11:17 AM UTC 2026
% Result : Unsatisfiable 10.28s 3.64s
% Output : CNFRefutation 10.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 29 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 78 ( 78 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > not > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(b,type,
b: $i ).
tff(not,type,
not: $i > $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_34,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(Y,X))),
file(unknown,unknown) ).
tff(f_40,axiom,
! [X,Y] : is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file(unknown,unknown) ).
tff(f_32,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X,Y] : is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))),
file(unknown,unknown) ).
tff(f_42,axiom,
~ is_a_theorem(implies(not(implies(a,b)),not(b))),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_3,Y_4] : is_a_theorem(implies(X_3,implies(Y_4,X_3))),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_10,plain,
! [X_10,Y_11] : is_a_theorem(implies(implies(not(X_10),not(Y_11)),implies(Y_11,X_10))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_51,plain,
! [X_24,Y_25,Z_26] : is_a_theorem(implies(implies(X_24,Y_25),implies(implies(Y_25,Z_26),implies(X_24,Z_26)))),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( is_a_theorem(Y_2)
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(implies(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_64,plain,
! [Y_32,Z_33,X_34] :
( is_a_theorem(implies(implies(Y_32,Z_33),implies(X_34,Z_33)))
| ~ is_a_theorem(implies(X_34,Y_32)) ),
inference(resolution,[status(thm)],[c_51,c_2]) ).
tff(c_127,plain,
! [X_43,Z_44,Y_45] :
( is_a_theorem(implies(X_43,Z_44))
| ~ is_a_theorem(implies(Y_45,Z_44))
| ~ is_a_theorem(implies(X_43,Y_45)) ),
inference(resolution,[status(thm)],[c_64,c_2]) ).
tff(c_715,plain,
! [X_95,Y_96,X_97] :
( is_a_theorem(implies(X_95,implies(Y_96,X_97)))
| ~ is_a_theorem(implies(X_95,implies(not(X_97),not(Y_96)))) ),
inference(resolution,[status(thm)],[c_10,c_127]) ).
tff(c_799,plain,
! [Y_99,X_100] : is_a_theorem(implies(not(Y_99),implies(Y_99,X_100))),
inference(resolution,[status(thm)],[c_4,c_715]) ).
tff(c_152,plain,
! [X_43,Y_11,X_10] :
( is_a_theorem(implies(X_43,implies(Y_11,X_10)))
| ~ is_a_theorem(implies(X_43,implies(not(X_10),not(Y_11)))) ),
inference(resolution,[status(thm)],[c_10,c_127]) ).
tff(c_867,plain,
! [X_103,Y_104] : is_a_theorem(implies(not(not(X_103)),implies(Y_104,X_103))),
inference(resolution,[status(thm)],[c_799,c_152]) ).
tff(c_14,plain,
! [Y_14,X_15] :
( is_a_theorem(Y_14)
| ~ is_a_theorem(X_15)
| ~ is_a_theorem(implies(X_15,Y_14)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_18,plain,
! [Y_4,X_3] :
( is_a_theorem(implies(Y_4,X_3))
| ~ is_a_theorem(X_3) ),
inference(resolution,[status(thm)],[c_4,c_14]) ).
tff(c_59,plain,
! [X_30,Y_31] : is_a_theorem(implies(implies(implies(X_30,Y_31),Y_31),implies(implies(Y_31,X_30),X_30))),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_69,plain,
! [Y_35,X_36] :
( is_a_theorem(implies(implies(Y_35,X_36),X_36))
| ~ is_a_theorem(implies(implies(X_36,Y_35),Y_35)) ),
inference(resolution,[status(thm)],[c_59,c_2]) ).
tff(c_77,plain,
! [X_3,X_36] :
( is_a_theorem(implies(implies(X_3,X_36),X_36))
| ~ is_a_theorem(X_3) ),
inference(resolution,[status(thm)],[c_18,c_69]) ).
tff(c_147,plain,
! [X_43,X_36,X_3] :
( is_a_theorem(implies(X_43,X_36))
| ~ is_a_theorem(implies(X_43,implies(X_3,X_36)))
| ~ is_a_theorem(X_3) ),
inference(resolution,[status(thm)],[c_77,c_127]) ).
tff(c_885,plain,
! [X_103,Y_104] :
( is_a_theorem(implies(not(not(X_103)),X_103))
| ~ is_a_theorem(Y_104) ),
inference(resolution,[status(thm)],[c_867,c_147]) ).
tff(c_890,plain,
! [Y_104] : ~ is_a_theorem(Y_104),
inference(splitLeft,[status(thm)],[c_885]) ).
tff(c_816,plain,
! [X_10,Y_11] : is_a_theorem(implies(not(not(X_10)),implies(Y_11,X_10))),
inference(resolution,[status(thm)],[c_799,c_152]) ).
tff(c_925,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_890,c_816]) ).
tff(c_1005,plain,
! [X_108] : is_a_theorem(implies(not(not(X_108)),X_108)),
inference(splitRight,[status(thm)],[c_885]) ).
tff(c_28,plain,
! [X_18,Y_19] : is_a_theorem(implies(implies(not(X_18),not(Y_19)),implies(Y_19,X_18))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_32,plain,
! [Y_19,X_18] :
( is_a_theorem(implies(Y_19,X_18))
| ~ is_a_theorem(implies(not(X_18),not(Y_19))) ),
inference(resolution,[status(thm)],[c_28,c_2]) ).
tff(c_1043,plain,
! [Y_110] : is_a_theorem(implies(Y_110,not(not(Y_110)))),
inference(resolution,[status(thm)],[c_1005,c_32]) ).
tff(c_68,plain,
! [X_34,Z_33,Y_32] :
( is_a_theorem(implies(X_34,Z_33))
| ~ is_a_theorem(implies(Y_32,Z_33))
| ~ is_a_theorem(implies(X_34,Y_32)) ),
inference(resolution,[status(thm)],[c_64,c_2]) ).
tff(c_1073,plain,
! [X_34,Y_110] :
( is_a_theorem(implies(X_34,not(not(Y_110))))
| ~ is_a_theorem(implies(X_34,Y_110)) ),
inference(resolution,[status(thm)],[c_1043,c_68]) ).
tff(c_8,plain,
! [X_8,Y_9] : is_a_theorem(implies(implies(implies(X_8,Y_9),Y_9),implies(implies(Y_9,X_8),X_8))),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_927,plain,
! [X_105,Y_106,X_107] :
( is_a_theorem(implies(X_105,implies(implies(Y_106,X_107),X_107)))
| ~ is_a_theorem(implies(X_105,implies(implies(X_107,Y_106),Y_106))) ),
inference(resolution,[status(thm)],[c_8,c_127]) ).
tff(c_1727,plain,
! [X_159,X_160] : is_a_theorem(implies(not(not(X_159)),implies(implies(X_159,X_160),X_160))),
inference(resolution,[status(thm)],[c_816,c_927]) ).
tff(c_1916,plain,
! [X_170,X_171] :
( is_a_theorem(implies(not(not(X_170)),X_171))
| ~ is_a_theorem(implies(X_170,X_171)) ),
inference(resolution,[status(thm)],[c_1727,c_147]) ).
tff(c_4626,plain,
! [Y_279,X_280] :
( is_a_theorem(implies(Y_279,not(X_280)))
| ~ is_a_theorem(implies(X_280,not(Y_279))) ),
inference(resolution,[status(thm)],[c_1916,c_32]) ).
tff(c_5765,plain,
! [Y_305,X_306] :
( is_a_theorem(implies(not(Y_305),not(X_306)))
| ~ is_a_theorem(implies(X_306,Y_305)) ),
inference(resolution,[status(thm)],[c_1073,c_4626]) ).
tff(c_12,plain,
~ is_a_theorem(implies(not(implies(a,b)),not(b))),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_5813,plain,
~ is_a_theorem(implies(b,implies(a,b))),
inference(resolution,[status(thm)],[c_5765,c_12]) ).
tff(c_5834,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_5813]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL115-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 03:42:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 10.28/3.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.28/3.66
% 10.28/3.66 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------