%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL080-1 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n012.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 11:11:12 AM UTC 2026
% Result : Unsatisfiable 215.97s 139.81s
% Output : CNFRefutation 215.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 81 ( 42 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 116 ( 116 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > e > c > 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(e,type,
e: $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_40,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X,Y] : is_a_theorem(implies(implies(implies(X,Y),X),X)),
file(unknown,unknown) ).
tff(f_34,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(Y,X))),
file(unknown,unknown) ).
tff(f_42,axiom,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))),
file(unknown,unknown) ).
tff(c_8,plain,
! [X_7,Y_8,Z_9] : is_a_theorem(implies(implies(X_7,Y_8),implies(implies(Y_8,Z_9),implies(X_7,Z_9)))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_6,plain,
! [X_5,Y_6] : is_a_theorem(implies(implies(implies(X_5,Y_6),X_5),X_5)),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_33,plain,
! [X_20,Y_21,Z_22] : is_a_theorem(implies(implies(X_20,Y_21),implies(implies(Y_21,Z_22),implies(X_20,Z_22)))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
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_34]) ).
tff(c_38,plain,
! [Y_23,Z_24,X_25] :
( is_a_theorem(implies(implies(Y_23,Z_24),implies(X_25,Z_24)))
| ~ is_a_theorem(implies(X_25,Y_23)) ),
inference(resolution,[status(thm)],[c_33,c_2]) ).
tff(c_94,plain,
! [X_29,Z_30,Y_31] :
( is_a_theorem(implies(X_29,Z_30))
| ~ is_a_theorem(implies(Y_31,Z_30))
| ~ is_a_theorem(implies(X_29,Y_31)) ),
inference(resolution,[status(thm)],[c_38,c_2]) ).
tff(c_109,plain,
! [X_29,Y_8,Z_9,X_7] :
( is_a_theorem(implies(X_29,implies(implies(Y_8,Z_9),implies(X_7,Z_9))))
| ~ is_a_theorem(implies(X_29,implies(X_7,Y_8))) ),
inference(resolution,[status(thm)],[c_8,c_94]) ).
tff(c_4,plain,
! [X_3,Y_4] : is_a_theorem(implies(X_3,implies(Y_4,X_3))),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_12,plain,
! [Y_12,X_13] :
( is_a_theorem(Y_12)
| ~ is_a_theorem(X_13)
| ~ is_a_theorem(implies(X_13,Y_12)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_16,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_12]) ).
tff(c_37,plain,
! [Y_21,Z_22,X_20] :
( is_a_theorem(implies(implies(Y_21,Z_22),implies(X_20,Z_22)))
| ~ is_a_theorem(implies(X_20,Y_21)) ),
inference(resolution,[status(thm)],[c_33,c_2]) ).
tff(c_22,plain,
! [X_16,Y_17] : is_a_theorem(implies(implies(implies(X_16,Y_17),X_16),X_16)),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_26,plain,
! [X_16,Y_17] :
( is_a_theorem(X_16)
| ~ is_a_theorem(implies(implies(X_16,Y_17),X_16)) ),
inference(resolution,[status(thm)],[c_22,c_2]) ).
tff(c_48,plain,
! [X_26,Z_27] :
( is_a_theorem(implies(X_26,Z_27))
| ~ is_a_theorem(implies(X_26,implies(X_26,Z_27))) ),
inference(resolution,[status(thm)],[c_38,c_26]) ).
tff(c_271,plain,
! [Y_47,Z_48] :
( is_a_theorem(implies(implies(Y_47,Z_48),Z_48))
| ~ is_a_theorem(implies(implies(Y_47,Z_48),Y_47)) ),
inference(resolution,[status(thm)],[c_37,c_48]) ).
tff(c_288,plain,
! [X_49,Z_50] :
( is_a_theorem(implies(implies(X_49,Z_50),Z_50))
| ~ is_a_theorem(X_49) ),
inference(resolution,[status(thm)],[c_16,c_271]) ).
tff(c_47,plain,
! [X_25,Z_24,Y_23] :
( is_a_theorem(implies(X_25,Z_24))
| ~ is_a_theorem(implies(Y_23,Z_24))
| ~ is_a_theorem(implies(X_25,Y_23)) ),
inference(resolution,[status(thm)],[c_38,c_2]) ).
tff(c_4804,plain,
! [X_227,Z_228,X_229] :
( is_a_theorem(implies(X_227,Z_228))
| ~ is_a_theorem(implies(X_227,implies(X_229,Z_228)))
| ~ is_a_theorem(X_229) ),
inference(resolution,[status(thm)],[c_288,c_47]) ).
tff(c_626277,plain,
! [X_3492,X_3493,Z_3494,Y_3495] :
( is_a_theorem(implies(X_3492,implies(X_3493,Z_3494)))
| ~ is_a_theorem(implies(Y_3495,Z_3494))
| ~ is_a_theorem(implies(X_3492,implies(X_3493,Y_3495))) ),
inference(resolution,[status(thm)],[c_109,c_4804]) ).
tff(c_628990,plain,
! [X_3500,X_3501,X_3502,Y_3503] :
( is_a_theorem(implies(X_3500,implies(X_3501,X_3502)))
| ~ is_a_theorem(implies(X_3500,implies(X_3501,implies(implies(X_3502,Y_3503),X_3502)))) ),
inference(resolution,[status(thm)],[c_6,c_626277]) ).
tff(c_631629,plain,
! [Z_9,Y_3503,Y_8] : is_a_theorem(implies(implies(implies(Z_9,Y_3503),Y_8),implies(implies(Y_8,Z_9),Z_9))),
inference(resolution,[status(thm)],[c_8,c_628990]) ).
tff(c_821,plain,
! [X_87,X_88,Z_89,Y_90] :
( is_a_theorem(implies(X_87,implies(X_88,Z_89)))
| ~ is_a_theorem(implies(X_87,implies(Y_90,Z_89)))
| ~ is_a_theorem(implies(X_88,Y_90)) ),
inference(resolution,[status(thm)],[c_37,c_94]) ).
tff(c_7522,plain,
! [X_291,Y_292,X_293,Z_294] :
( is_a_theorem(implies(implies(X_291,Y_292),implies(X_293,implies(X_291,Z_294))))
| ~ is_a_theorem(implies(X_293,implies(Y_292,Z_294))) ),
inference(resolution,[status(thm)],[c_8,c_821]) ).
tff(c_621,plain,
! [X_74,Y_75,Z_76,X_77] :
( is_a_theorem(implies(X_74,implies(implies(Y_75,Z_76),implies(X_77,Z_76))))
| ~ is_a_theorem(implies(X_74,implies(X_77,Y_75))) ),
inference(resolution,[status(thm)],[c_8,c_94]) ).
tff(c_110,plain,
! [X_29,X_5,Y_6] :
( is_a_theorem(implies(X_29,X_5))
| ~ is_a_theorem(implies(X_29,implies(implies(X_5,Y_6),X_5))) ),
inference(resolution,[status(thm)],[c_6,c_94]) ).
tff(c_662,plain,
! [X_74,X_77,Z_76] :
( is_a_theorem(implies(X_74,implies(X_77,Z_76)))
| ~ is_a_theorem(implies(X_74,implies(X_77,implies(X_77,Z_76)))) ),
inference(resolution,[status(thm)],[c_621,c_110]) ).
tff(c_29379,plain,
! [X_622,Y_623,Z_624] :
( is_a_theorem(implies(implies(X_622,Y_623),implies(X_622,Z_624)))
| ~ is_a_theorem(implies(X_622,implies(Y_623,Z_624))) ),
inference(resolution,[status(thm)],[c_7522,c_662]) ).
tff(c_5097,plain,
! [Y_232,Z_233,X_234,X_235] :
( is_a_theorem(implies(implies(Y_232,Z_233),implies(X_234,Z_233)))
| ~ is_a_theorem(implies(X_234,X_235))
| ~ is_a_theorem(implies(X_235,Y_232)) ),
inference(resolution,[status(thm)],[c_37,c_821]) ).
tff(c_5229,plain,
! [Y_232,Z_233,X_3,Y_4] :
( is_a_theorem(implies(implies(Y_232,Z_233),implies(X_3,Z_233)))
| ~ is_a_theorem(implies(implies(Y_4,X_3),Y_232)) ),
inference(resolution,[status(thm)],[c_4,c_5097]) ).
tff(c_362510,plain,
! [X_2580,Z_2581,Z_2582,Y_2583] :
( is_a_theorem(implies(implies(implies(X_2580,Z_2581),Z_2582),implies(Y_2583,Z_2582)))
| ~ is_a_theorem(implies(X_2580,implies(Y_2583,Z_2581))) ),
inference(resolution,[status(thm)],[c_29379,c_5229]) ).
tff(c_10903,plain,
! [Y_354,Z_355,X_356,Y_357] :
( is_a_theorem(implies(implies(Y_354,Z_355),implies(X_356,Z_355)))
| ~ is_a_theorem(implies(implies(Y_357,X_356),Y_354)) ),
inference(resolution,[status(thm)],[c_4,c_5097]) ).
tff(c_18837,plain,
! [Y_492,Z_493,X_494,Z_495] : is_a_theorem(implies(implies(implies(implies(Y_492,Z_493),implies(X_494,Z_493)),Z_495),implies(Y_492,Z_495))),
inference(resolution,[status(thm)],[c_8,c_10903]) ).
tff(c_320,plain,
! [Z_50,X_49] :
( is_a_theorem(Z_50)
| ~ is_a_theorem(implies(X_49,Z_50))
| ~ is_a_theorem(X_49) ),
inference(resolution,[status(thm)],[c_288,c_2]) ).
tff(c_19008,plain,
! [Y_492,Z_495,Z_493,X_494] :
( is_a_theorem(implies(Y_492,Z_495))
| ~ is_a_theorem(implies(implies(implies(Y_492,Z_493),implies(X_494,Z_493)),Z_495)) ),
inference(resolution,[status(thm)],[c_18837,c_320]) ).
tff(c_623360,plain,
! [X_3484,Y_3485,X_3486,Z_3487] :
( is_a_theorem(implies(X_3484,implies(Y_3485,implies(X_3486,Z_3487))))
| ~ is_a_theorem(implies(X_3484,implies(Y_3485,Z_3487))) ),
inference(resolution,[status(thm)],[c_362510,c_19008]) ).
tff(c_10,plain,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_624841,plain,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),a))),
inference(resolution,[status(thm)],[c_623360,c_10]) ).
tff(c_631636,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_631629,c_624841]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL080-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 5 15:18:27 UTC 2026
% 0.03/0.30 % CPUTime :
% 215.97/139.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 215.97/139.82
% 215.97/139.82 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------