TSTP Solution File: LCL089-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL089-1 : TPTP v8.1.2. 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 : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:47:20 EDT 2023
% Result : Unsatisfiable 8.25s 3.18s
% Output : CNFRefutation 8.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 8
% Syntax : Number of formulae : 97 ( 62 unt; 5 typ; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 84 ( 48 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 266 (; 266 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > 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(implies,type,
implies: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_35,axiom,
! [P,R,S,Q,T] : is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_37,axiom,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file(unknown,unknown) ).
tff(c_4,plain,
! [S_5,T_7,P_3,R_4,Q_6] : is_a_theorem(implies(implies(implies(P_3,Q_6),implies(R_4,S_5)),implies(T_7,implies(implies(S_5,P_3),implies(R_4,P_3))))),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_8,plain,
! [P_14,Q_13,S_11,T_10,R_12] : is_a_theorem(implies(implies(implies(P_14,Q_13),implies(R_12,S_11)),implies(T_10,implies(implies(S_11,P_14),implies(R_12,P_14))))),
inference(cnfTransformation,[status(thm)],[f_35]) ).
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_33]) ).
tff(c_13,plain,
! [R_18,T_16,P_19,Q_15,S_17] :
( is_a_theorem(implies(T_16,implies(implies(S_17,P_19),implies(R_18,P_19))))
| ~ is_a_theorem(implies(implies(P_19,Q_15),implies(R_18,S_17))) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_17,plain,
! [T_20,P_25,Q_24,S_21,T_22,R_23] : is_a_theorem(implies(T_22,implies(implies(implies(implies(S_21,P_25),implies(R_23,P_25)),implies(P_25,Q_24)),implies(T_20,implies(P_25,Q_24))))),
inference(resolution,[status(thm)],[c_4,c_13]) ).
tff(c_25,plain,
! [T_20,P_25,Q_24,S_21,T_22,R_23] :
( is_a_theorem(implies(implies(implies(implies(S_21,P_25),implies(R_23,P_25)),implies(P_25,Q_24)),implies(T_20,implies(P_25,Q_24))))
| ~ is_a_theorem(T_22) ),
inference(resolution,[status(thm)],[c_17,c_2]) ).
tff(c_26,plain,
! [T_22] : ~ is_a_theorem(T_22),
inference(splitLeft,[status(thm)],[c_25]) ).
tff(c_16,plain,
! [S_5,T_7,T_16,P_3,R_4,Q_6] : is_a_theorem(implies(T_16,implies(implies(implies(implies(S_5,P_3),implies(R_4,P_3)),implies(P_3,Q_6)),implies(T_7,implies(P_3,Q_6))))),
inference(resolution,[status(thm)],[c_4,c_13]) ).
tff(c_31,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_16]) ).
tff(c_32,plain,
! [T_20,P_25,Q_24,S_21,R_23] : is_a_theorem(implies(implies(implies(implies(S_21,P_25),implies(R_23,P_25)),implies(P_25,Q_24)),implies(T_20,implies(P_25,Q_24)))),
inference(splitRight,[status(thm)],[c_25]) ).
tff(c_33,plain,
! [R_26,T_28,P_29,S_27,Q_30] : is_a_theorem(implies(implies(implies(implies(S_27,P_29),implies(R_26,P_29)),implies(P_29,Q_30)),implies(T_28,implies(P_29,Q_30)))),
inference(splitRight,[status(thm)],[c_25]) ).
tff(c_41,plain,
! [P_34,T_31,S_33,R_32,Q_35] :
( is_a_theorem(implies(T_31,implies(P_34,Q_35)))
| ~ is_a_theorem(implies(implies(implies(S_33,P_34),implies(R_32,P_34)),implies(P_34,Q_35))) ),
inference(resolution,[status(thm)],[c_33,c_2]) ).
tff(c_69,plain,
! [T_40,R_41,P_42] : is_a_theorem(implies(T_40,implies(implies(R_41,P_42),implies(P_42,implies(R_41,P_42))))),
inference(resolution,[status(thm)],[c_32,c_41]) ).
tff(c_82,plain,
! [R_41,P_42,T_40] :
( is_a_theorem(implies(implies(R_41,P_42),implies(P_42,implies(R_41,P_42))))
| ~ is_a_theorem(T_40) ),
inference(resolution,[status(thm)],[c_69,c_2]) ).
tff(c_158,plain,
! [T_40] : ~ is_a_theorem(T_40),
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_12,plain,
! [P_14,Q_13,S_11,T_10,R_12] :
( is_a_theorem(implies(T_10,implies(implies(S_11,P_14),implies(R_12,P_14))))
| ~ is_a_theorem(implies(implies(P_14,Q_13),implies(R_12,S_11))) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_24,plain,
! [T_20,P_14,P_25,Q_24,S_21,T_10,R_23] : is_a_theorem(implies(T_10,implies(implies(implies(T_20,implies(P_25,Q_24)),P_14),implies(implies(implies(implies(S_21,P_25),implies(R_23,P_25)),implies(P_25,Q_24)),P_14)))),
inference(resolution,[status(thm)],[c_17,c_12]) ).
tff(c_171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158,c_24]) ).
tff(c_203,plain,
! [R_65,P_66] : is_a_theorem(implies(implies(R_65,P_66),implies(P_66,implies(R_65,P_66)))),
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_237,plain,
! [T_69,R_70,P_71] : is_a_theorem(implies(T_69,implies(implies(implies(R_70,P_71),R_70),implies(P_71,R_70)))),
inference(resolution,[status(thm)],[c_203,c_12]) ).
tff(c_258,plain,
! [R_70,P_71,T_69] :
( is_a_theorem(implies(implies(implies(R_70,P_71),R_70),implies(P_71,R_70)))
| ~ is_a_theorem(T_69) ),
inference(resolution,[status(thm)],[c_237,c_2]) ).
tff(c_345,plain,
! [T_69] : ~ is_a_theorem(T_69),
inference(splitLeft,[status(thm)],[c_258]) ).
tff(c_39,plain,
! [R_26,T_28,P_29,S_27,Q_30,T_10] : is_a_theorem(implies(T_10,implies(implies(implies(P_29,Q_30),implies(implies(S_27,P_29),implies(R_26,P_29))),implies(T_28,implies(implies(S_27,P_29),implies(R_26,P_29)))))),
inference(resolution,[status(thm)],[c_33,c_12]) ).
tff(c_365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_345,c_39]) ).
tff(c_389,plain,
! [R_86,P_87] : is_a_theorem(implies(implies(implies(R_86,P_87),R_86),implies(P_87,R_86))),
inference(splitRight,[status(thm)],[c_258]) ).
tff(c_40,plain,
! [R_26,T_28,P_29,S_27,Q_30] :
( is_a_theorem(implies(T_28,implies(P_29,Q_30)))
| ~ is_a_theorem(implies(implies(implies(S_27,P_29),implies(R_26,P_29)),implies(P_29,Q_30))) ),
inference(resolution,[status(thm)],[c_33,c_2]) ).
tff(c_413,plain,
! [T_88,P_89,R_90] : is_a_theorem(implies(T_88,implies(P_89,implies(R_90,P_89)))),
inference(resolution,[status(thm)],[c_389,c_40]) ).
tff(c_931,plain,
! [T_136,R_137,P_138,P_139] : is_a_theorem(implies(T_136,implies(implies(implies(R_137,P_138),P_139),implies(P_138,P_139)))),
inference(resolution,[status(thm)],[c_413,c_12]) ).
tff(c_965,plain,
! [R_137,P_138,P_139,T_136] :
( is_a_theorem(implies(implies(implies(R_137,P_138),P_139),implies(P_138,P_139)))
| ~ is_a_theorem(T_136) ),
inference(resolution,[status(thm)],[c_931,c_2]) ).
tff(c_1002,plain,
! [T_136] : ~ is_a_theorem(T_136),
inference(splitLeft,[status(thm)],[c_965]) ).
tff(c_407,plain,
! [T_28,P_87,R_26] : is_a_theorem(implies(T_28,implies(P_87,implies(R_26,P_87)))),
inference(resolution,[status(thm)],[c_389,c_40]) ).
tff(c_55,plain,
! [T_36,T_37,P_38,R_39] : is_a_theorem(implies(T_36,implies(T_37,implies(implies(T_37,P_38),implies(R_39,P_38))))),
inference(resolution,[status(thm)],[c_4,c_41]) ).
tff(c_68,plain,
! [T_37,P_38,R_39,T_36] :
( is_a_theorem(implies(T_37,implies(implies(T_37,P_38),implies(R_39,P_38))))
| ~ is_a_theorem(T_36) ),
inference(resolution,[status(thm)],[c_55,c_2]) ).
tff(c_83,plain,
! [T_36] : ~ is_a_theorem(T_36),
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_51,plain,
! [T_31,R_23,P_25] : is_a_theorem(implies(T_31,implies(implies(R_23,P_25),implies(P_25,implies(R_23,P_25))))),
inference(resolution,[status(thm)],[c_32,c_41]) ).
tff(c_92,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83,c_51]) ).
tff(c_94,plain,
! [T_43,P_44,R_45] : is_a_theorem(implies(T_43,implies(implies(T_43,P_44),implies(R_45,P_44)))),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_103,plain,
! [T_46,P_47,R_48] :
( is_a_theorem(implies(implies(T_46,P_47),implies(R_48,P_47)))
| ~ is_a_theorem(T_46) ),
inference(resolution,[status(thm)],[c_94,c_2]) ).
tff(c_114,plain,
! [R_48,P_47,T_46] :
( is_a_theorem(implies(R_48,P_47))
| ~ is_a_theorem(implies(T_46,P_47))
| ~ is_a_theorem(T_46) ),
inference(resolution,[status(thm)],[c_103,c_2]) ).
tff(c_738,plain,
! [R_114,P_115,R_116] :
( is_a_theorem(implies(R_114,implies(P_115,R_116)))
| ~ is_a_theorem(implies(implies(R_116,P_115),R_116)) ),
inference(resolution,[status(thm)],[c_389,c_114]) ).
tff(c_820,plain,
! [R_120,P_121,P_122,R_123] : is_a_theorem(implies(R_120,implies(P_121,implies(P_122,implies(R_123,P_122))))),
inference(resolution,[status(thm)],[c_407,c_738]) ).
tff(c_406,plain,
! [R_48,P_87,R_86] :
( is_a_theorem(implies(R_48,implies(P_87,R_86)))
| ~ is_a_theorem(implies(implies(R_86,P_87),R_86)) ),
inference(resolution,[status(thm)],[c_389,c_114]) ).
tff(c_844,plain,
! [P_87,P_122,P_121,R_123,R_48] : is_a_theorem(implies(R_48,implies(P_87,implies(P_121,implies(P_122,implies(R_123,P_122)))))),
inference(resolution,[status(thm)],[c_820,c_406]) ).
tff(c_1032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1002,c_844]) ).
tff(c_1035,plain,
! [R_145,P_146,P_147] : is_a_theorem(implies(implies(implies(R_145,P_146),P_147),implies(P_146,P_147))),
inference(splitRight,[status(thm)],[c_965]) ).
tff(c_1070,plain,
! [P_148,P_149,R_150] :
( is_a_theorem(implies(P_148,P_149))
| ~ is_a_theorem(implies(implies(R_150,P_148),P_149)) ),
inference(resolution,[status(thm)],[c_1035,c_2]) ).
tff(c_1182,plain,
! [R_4,S_5,T_7,P_3] : is_a_theorem(implies(implies(R_4,S_5),implies(T_7,implies(implies(S_5,P_3),implies(R_4,P_3))))),
inference(resolution,[status(thm)],[c_4,c_1070]) ).
tff(c_434,plain,
! [P_89,R_90,T_88] :
( is_a_theorem(implies(P_89,implies(R_90,P_89)))
| ~ is_a_theorem(T_88) ),
inference(resolution,[status(thm)],[c_413,c_2]) ).
tff(c_435,plain,
! [T_88] : ~ is_a_theorem(T_88),
inference(splitLeft,[status(thm)],[c_434]) ).
tff(c_454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_435,c_407]) ).
tff(c_478,plain,
! [P_91,R_92] : is_a_theorem(implies(P_91,implies(R_92,P_91))),
inference(splitRight,[status(thm)],[c_434]) ).
tff(c_1385,plain,
! [T_168,P_169,Q_170,R_171] : is_a_theorem(implies(T_168,implies(implies(implies(P_169,Q_170),P_169),implies(R_171,P_169)))),
inference(resolution,[status(thm)],[c_478,c_12]) ).
tff(c_1424,plain,
! [P_169,Q_170,R_171,T_168] :
( is_a_theorem(implies(implies(implies(P_169,Q_170),P_169),implies(R_171,P_169)))
| ~ is_a_theorem(T_168) ),
inference(resolution,[status(thm)],[c_1385,c_2]) ).
tff(c_1461,plain,
! [T_168] : ~ is_a_theorem(T_168),
inference(splitLeft,[status(thm)],[c_1424]) ).
tff(c_496,plain,
! [T_10,P_14,Q_13,R_92] : is_a_theorem(implies(T_10,implies(implies(implies(P_14,Q_13),P_14),implies(R_92,P_14)))),
inference(resolution,[status(thm)],[c_478,c_12]) ).
tff(c_1496,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1461,c_496]) ).
tff(c_1497,plain,
! [P_169,Q_170,R_171] : is_a_theorem(implies(implies(implies(P_169,Q_170),P_169),implies(R_171,P_169))),
inference(splitRight,[status(thm)],[c_1424]) ).
tff(c_1931,plain,
! [R_198,S_199,T_200,P_201] : is_a_theorem(implies(implies(R_198,S_199),implies(T_200,implies(implies(S_199,P_201),implies(R_198,P_201))))),
inference(resolution,[status(thm)],[c_4,c_1070]) ).
tff(c_3728,plain,
! [T_300,S_301,P_302,R_303] :
( is_a_theorem(implies(T_300,implies(implies(S_301,P_302),implies(R_303,P_302))))
| ~ is_a_theorem(implies(R_303,S_301)) ),
inference(resolution,[status(thm)],[c_1931,c_2]) ).
tff(c_3790,plain,
! [S_301,P_302,R_303,T_300] :
( is_a_theorem(implies(implies(S_301,P_302),implies(R_303,P_302)))
| ~ is_a_theorem(T_300)
| ~ is_a_theorem(implies(R_303,S_301)) ),
inference(resolution,[status(thm)],[c_3728,c_2]) ).
tff(c_4236,plain,
! [T_300] : ~ is_a_theorem(T_300),
inference(splitLeft,[status(thm)],[c_3790]) ).
tff(c_129,plain,
! [R_56,P_57,T_58] :
( is_a_theorem(implies(R_56,P_57))
| ~ is_a_theorem(implies(T_58,P_57))
| ~ is_a_theorem(T_58) ),
inference(resolution,[status(thm)],[c_103,c_2]) ).
tff(c_157,plain,
! [S_5,R_56,T_7,P_3,R_4,Q_6] :
( is_a_theorem(implies(R_56,implies(T_7,implies(implies(S_5,P_3),implies(R_4,P_3)))))
| ~ is_a_theorem(implies(implies(P_3,Q_6),implies(R_4,S_5))) ),
inference(resolution,[status(thm)],[c_4,c_129]) ).
tff(c_493,plain,
! [R_56,R_92,T_7,P_3,Q_6] : is_a_theorem(implies(R_56,implies(T_7,implies(implies(implies(P_3,Q_6),P_3),implies(R_92,P_3))))),
inference(resolution,[status(thm)],[c_478,c_157]) ).
tff(c_4304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4236,c_493]) ).
tff(c_4306,plain,
! [S_333,P_334,R_335] :
( is_a_theorem(implies(implies(S_333,P_334),implies(R_335,P_334)))
| ~ is_a_theorem(implies(R_335,S_333)) ),
inference(splitRight,[status(thm)],[c_3790]) ).
tff(c_1498,plain,
! [P_177,Q_178,R_179] : is_a_theorem(implies(implies(implies(P_177,Q_178),P_177),implies(R_179,P_177))),
inference(splitRight,[status(thm)],[c_1424]) ).
tff(c_1534,plain,
! [R_179,P_177,Q_178] :
( is_a_theorem(implies(R_179,P_177))
| ~ is_a_theorem(implies(implies(P_177,Q_178),P_177)) ),
inference(resolution,[status(thm)],[c_1498,c_2]) ).
tff(c_4374,plain,
! [R_336,R_337,P_338] :
( is_a_theorem(implies(R_336,implies(R_337,P_338)))
| ~ is_a_theorem(implies(R_337,implies(R_337,P_338))) ),
inference(resolution,[status(thm)],[c_4306,c_1534]) ).
tff(c_4598,plain,
! [R_339,P_340,Q_341] : is_a_theorem(implies(R_339,implies(implies(implies(P_340,Q_341),P_340),P_340))),
inference(resolution,[status(thm)],[c_1497,c_4374]) ).
tff(c_4672,plain,
! [P_340,Q_341,R_339] :
( is_a_theorem(implies(implies(implies(P_340,Q_341),P_340),P_340))
| ~ is_a_theorem(R_339) ),
inference(resolution,[status(thm)],[c_4598,c_2]) ).
tff(c_4966,plain,
! [R_339] : ~ is_a_theorem(R_339),
inference(splitLeft,[status(thm)],[c_4672]) ).
tff(c_1535,plain,
! [R_180,P_181,Q_182] :
( is_a_theorem(implies(R_180,P_181))
| ~ is_a_theorem(implies(implies(P_181,Q_182),P_181)) ),
inference(resolution,[status(thm)],[c_1498,c_2]) ).
tff(c_1636,plain,
! [R_183,R_184] : is_a_theorem(implies(R_183,implies(R_184,R_184))),
inference(resolution,[status(thm)],[c_1497,c_1535]) ).
tff(c_1794,plain,
! [R_186,P_187,R_188] : is_a_theorem(implies(R_186,implies(P_187,implies(R_188,R_188)))),
inference(resolution,[status(thm)],[c_1636,c_406]) ).
tff(c_2753,plain,
! [T_252,R_253,P_254,P_255] : is_a_theorem(implies(T_252,implies(implies(implies(R_253,R_253),P_254),implies(P_255,P_254)))),
inference(resolution,[status(thm)],[c_1794,c_12]) ).
tff(c_2806,plain,
! [R_253,P_254,P_255,T_252] :
( is_a_theorem(implies(implies(implies(R_253,R_253),P_254),implies(P_255,P_254)))
| ~ is_a_theorem(T_252) ),
inference(resolution,[status(thm)],[c_2753,c_2]) ).
tff(c_2807,plain,
! [T_252] : ~ is_a_theorem(T_252),
inference(splitLeft,[status(thm)],[c_2806]) ).
tff(c_1837,plain,
! [T_10,R_188,P_14,P_187] : is_a_theorem(implies(T_10,implies(implies(implies(R_188,R_188),P_14),implies(P_187,P_14)))),
inference(resolution,[status(thm)],[c_1794,c_12]) ).
tff(c_2860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2807,c_1837]) ).
tff(c_2861,plain,
! [R_253,P_254,P_255] : is_a_theorem(implies(implies(implies(R_253,R_253),P_254),implies(P_255,P_254))),
inference(splitRight,[status(thm)],[c_2806]) ).
tff(c_4538,plain,
! [R_336,R_253,P_254] : is_a_theorem(implies(R_336,implies(implies(implies(R_253,R_253),P_254),P_254))),
inference(resolution,[status(thm)],[c_2861,c_4374]) ).
tff(c_5040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4966,c_4538]) ).
tff(c_5041,plain,
! [P_340,Q_341] : is_a_theorem(implies(implies(implies(P_340,Q_341),P_340),P_340)),
inference(splitRight,[status(thm)],[c_4672]) ).
tff(c_6750,plain,
! [R_373,P_374,S_375] :
( is_a_theorem(implies(R_373,P_374))
| ~ is_a_theorem(implies(S_375,P_374))
| ~ is_a_theorem(implies(R_373,S_375)) ),
inference(resolution,[status(thm)],[c_4306,c_2]) ).
tff(c_9037,plain,
! [R_433,P_434,Q_435] :
( is_a_theorem(implies(R_433,P_434))
| ~ is_a_theorem(implies(R_433,implies(implies(P_434,Q_435),P_434))) ),
inference(resolution,[status(thm)],[c_5041,c_6750]) ).
tff(c_9330,plain,
! [R_4,S_5,P_3] : is_a_theorem(implies(implies(R_4,S_5),implies(implies(S_5,P_3),implies(R_4,P_3)))),
inference(resolution,[status(thm)],[c_1182,c_9037]) ).
tff(c_6,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_12756,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9330,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL089-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % 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
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 14:15:19 EDT 2023
% 0.12/0.34 % CPUTime :
% 8.25/3.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.25/3.19
% 8.25/3.19 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.47/3.25
% 8.47/3.25 Inference rules
% 8.47/3.25 ----------------------
% 8.47/3.25 #Ref : 0
% 8.47/3.25 #Sup : 2656
% 8.47/3.25 #Fact : 0
% 8.47/3.25 #Define : 0
% 8.47/3.25 #Split : 18
% 8.47/3.25 #Chain : 0
% 8.47/3.25 #Close : 0
% 8.47/3.25
% 8.47/3.25 Ordering : KBO
% 8.47/3.25
% 8.47/3.25 Simplification rules
% 8.47/3.25 ----------------------
% 8.47/3.25 #Subsume : 934
% 8.47/3.25 #Demod : 1053
% 8.47/3.25 #Tautology : 1096
% 8.47/3.25 #SimpNegUnit : 727
% 8.47/3.25 #BackRed : 423
% 8.47/3.25
% 8.47/3.25 #Partial instantiations: 0
% 8.47/3.25 #Strategies tried : 1
% 8.47/3.25
% 8.47/3.25 Timing (in seconds)
% 8.47/3.25 ----------------------
% 8.47/3.25 Preprocessing : 0.43
% 8.72/3.25 Parsing : 0.23
% 8.72/3.25 CNF conversion : 0.02
% 8.72/3.25 Main loop : 1.67
% 8.72/3.25 Inferencing : 0.51
% 8.72/3.25 Reduction : 0.52
% 8.72/3.25 Demodulation : 0.41
% 8.72/3.25 BG Simplification : 0.04
% 8.72/3.25 Subsumption : 0.47
% 8.72/3.25 Abstraction : 0.05
% 8.72/3.25 MUC search : 0.00
% 8.72/3.25 Cooper : 0.00
% 8.72/3.25 Total : 2.18
% 8.72/3.25 Index Insertion : 0.00
% 8.72/3.25 Index Deletion : 0.00
% 8.72/3.25 Index Matching : 0.00
% 8.72/3.25 BG Taut test : 0.00
%------------------------------------------------------------------------------