TSTP Solution File: REL006-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : REL006-1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n013.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 10:54:25 EDT 2023

% Result   : Unsatisfiable 16.71s 7.90s
% Output   : CNFRefutation 16.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  123 ( 113 unt;  10 typ;   0 def)
%            Number of atoms       :  113 ( 112 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    8 (   5   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  154 (; 154   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ meet > join > composition > #nlpp > converse > complement > zero > top > sk2 > sk1 > one

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(top,type,
    top: $i ).

tff(sk2,type,
    sk2: $i ).

tff(sk1,type,
    sk1: $i ).

tff(converse,type,
    converse: $i > $i ).

tff(join,type,
    join: ( $i * $i ) > $i ).

tff(composition,type,
    composition: ( $i * $i ) > $i ).

tff(complement,type,
    complement: $i > $i ).

tff(one,type,
    one: $i ).

tff(meet,type,
    meet: ( $i * $i ) > $i ).

tff(zero,type,
    zero: $i ).

tff(f_76,axiom,
    meet(sk1,converse(sk2)) != zero,
    file(unknown,unknown) ).

tff(f_47,axiom,
    ! [A,B] : ( join(A,B) = join(B,A) ),
    file(unknown,unknown) ).

tff(f_53,axiom,
    ! [A,B] : ( meet(A,B) = complement(join(complement(A),complement(B))) ),
    file(unknown,unknown) ).

tff(f_71,axiom,
    ! [A] : ( zero = meet(A,complement(A)) ),
    file(unknown,unknown) ).

tff(f_69,axiom,
    ! [A] : ( top = join(A,complement(A)) ),
    file(unknown,unknown) ).

tff(f_61,axiom,
    ! [A] : ( converse(converse(A)) = A ),
    file(unknown,unknown) ).

tff(f_57,axiom,
    ! [A] : ( composition(A,one) = A ),
    file(unknown,unknown) ).

tff(f_65,axiom,
    ! [A,B] : ( converse(composition(A,B)) = composition(converse(B),converse(A)) ),
    file(unknown,unknown) ).

tff(f_55,axiom,
    ! [A,B,C] : ( composition(A,composition(B,C)) = composition(composition(A,B),C) ),
    file(unknown,unknown) ).

tff(f_67,axiom,
    ! [A,B] : ( join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ),
    file(unknown,unknown) ).

tff(f_49,axiom,
    ! [A,B,C] : ( join(A,join(B,C)) = join(join(A,B),C) ),
    file(unknown,unknown) ).

tff(f_51,axiom,
    ! [A,B] : ( A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ),
    file(unknown,unknown) ).

tff(f_63,axiom,
    ! [A,B] : ( converse(join(A,B)) = join(converse(A),converse(B)) ),
    file(unknown,unknown) ).

tff(f_74,axiom,
    meet(converse(sk1),sk2) = zero,
    file(unknown,unknown) ).

tff(c_30,plain,
    meet(sk1,converse(sk2)) != zero,
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_2,plain,
    ! [B_2,A_1] : ( join(B_2,A_1) = join(A_1,B_2) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_109,plain,
    ! [A_32,B_33] : ( complement(join(complement(A_32),complement(B_33))) = meet(A_32,B_33) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_2084,plain,
    ! [B_79,A_80] : ( complement(join(complement(B_79),complement(A_80))) = meet(A_80,B_79) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_109]) ).

tff(c_8,plain,
    ! [A_8,B_9] : ( complement(join(complement(A_8),complement(B_9))) = meet(A_8,B_9) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_2132,plain,
    ! [B_79,A_80] : ( meet(B_79,A_80) = meet(A_80,B_79) ),
    inference(superposition,[status(thm),theory(equality)],[c_2084,c_8]) ).

tff(c_26,plain,
    ! [A_25] : ( meet(A_25,complement(A_25)) = zero ),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_24,plain,
    ! [A_24] : ( join(A_24,complement(A_24)) = top ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_143,plain,
    ! [A_32] : ( meet(A_32,complement(A_32)) = complement(top) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_109]) ).

tff(c_146,plain,
    complement(top) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_143]) ).

tff(c_16,plain,
    ! [A_17] : ( converse(converse(A_17)) = A_17 ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_12,plain,
    ! [A_13] : ( composition(A_13,one) = A_13 ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_164,plain,
    ! [B_34,A_35] : ( composition(converse(B_34),converse(A_35)) = converse(composition(A_35,B_34)) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_1827,plain,
    ! [A_74,B_75] : ( converse(composition(converse(A_74),B_75)) = composition(converse(B_75),A_74) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_164]) ).

tff(c_1882,plain,
    ! [A_74] : ( composition(converse(one),A_74) = converse(converse(A_74)) ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_1827]) ).

tff(c_1898,plain,
    ! [A_74] : ( composition(converse(one),A_74) = A_74 ),
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_1882]) ).

tff(c_1900,plain,
    ! [A_76] : ( composition(converse(one),A_76) = A_76 ),
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_1882]) ).

tff(c_600,plain,
    ! [A_49,B_50,C_51] : ( composition(composition(A_49,B_50),C_51) = composition(A_49,composition(B_50,C_51)) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_622,plain,
    ! [A_13,C_51] : ( composition(A_13,composition(one,C_51)) = composition(A_13,C_51) ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_600]) ).

tff(c_1920,plain,
    ! [C_51] : ( composition(converse(one),C_51) = composition(one,C_51) ),
    inference(superposition,[status(thm),theory(equality)],[c_1900,c_622]) ).

tff(c_1957,plain,
    ! [C_51] : ( composition(one,C_51) = C_51 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1898,c_1920]) ).

tff(c_1938,plain,
    converse(one) = one,
    inference(superposition,[status(thm),theory(equality)],[c_1900,c_12]) ).

tff(c_2042,plain,
    ! [C_78] : ( composition(one,C_78) = C_78 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1898,c_1920]) ).

tff(c_22,plain,
    ! [A_22,B_23] : ( join(composition(converse(A_22),complement(composition(A_22,B_23))),complement(B_23)) = complement(B_23) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_2058,plain,
    ! [C_78] : ( join(composition(converse(one),complement(C_78)),complement(C_78)) = complement(C_78) ),
    inference(superposition,[status(thm),theory(equality)],[c_2042,c_22]) ).

tff(c_2388,plain,
    ! [C_86] : ( join(complement(C_86),complement(C_86)) = complement(C_86) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1957,c_2,c_1938,c_2058]) ).

tff(c_354,plain,
    ! [A_41,B_42,C_43] : ( join(join(A_41,B_42),C_43) = join(A_41,join(B_42,C_43)) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_399,plain,
    ! [A_24,C_43] : ( join(A_24,join(complement(A_24),C_43)) = join(top,C_43) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_354]) ).

tff(c_2397,plain,
    ! [C_86] : ( join(top,complement(C_86)) = join(C_86,complement(C_86)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2388,c_399]) ).

tff(c_2444,plain,
    ! [C_86] : ( join(top,complement(C_86)) = top ),
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_2397]) ).

tff(c_1048,plain,
    ! [A_63,C_64] : ( join(A_63,join(complement(A_63),C_64)) = join(top,C_64) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_354]) ).

tff(c_1128,plain,
    ! [A_63] : ( join(top,complement(complement(A_63))) = join(A_63,top) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_1048]) ).

tff(c_2514,plain,
    ! [A_88] : ( join(A_88,top) = top ),
    inference(demodulation,[status(thm),theory(equality)],[c_2444,c_1128]) ).

tff(c_2549,plain,
    ! [A_88] : ( join(top,A_88) = top ),
    inference(superposition,[status(thm),theory(equality)],[c_2514,c_2]) ).

tff(c_6,plain,
    ! [A_6,B_7] : ( join(complement(join(complement(A_6),complement(B_7))),complement(join(complement(A_6),B_7))) = A_6 ),
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_31,plain,
    ! [A_6,B_7] : ( join(meet(A_6,B_7),complement(join(complement(A_6),B_7))) = A_6 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).

tff(c_2403,plain,
    ! [C_86] : ( join(meet(C_86,complement(C_86)),complement(complement(C_86))) = C_86 ),
    inference(superposition,[status(thm),theory(equality)],[c_2388,c_31]) ).

tff(c_2828,plain,
    ! [C_93] : ( join(zero,complement(complement(C_93))) = C_93 ),
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_2403]) ).

tff(c_153,plain,
    ! [A_8] : ( complement(join(complement(A_8),zero)) = meet(A_8,top) ),
    inference(superposition,[status(thm),theory(equality)],[c_146,c_8]) ).

tff(c_162,plain,
    ! [A_8] : ( complement(join(zero,complement(A_8))) = meet(A_8,top) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_153]) ).

tff(c_3011,plain,
    ! [C_96] : ( meet(complement(C_96),top) = complement(C_96) ),
    inference(superposition,[status(thm),theory(equality)],[c_2828,c_162]) ).

tff(c_3027,plain,
    ! [C_96] : ( join(complement(C_96),complement(join(complement(complement(C_96)),top))) = complement(C_96) ),
    inference(superposition,[status(thm),theory(equality)],[c_3011,c_31]) ).

tff(c_3134,plain,
    ! [C_98] : ( join(zero,complement(C_98)) = complement(C_98) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_146,c_2549,c_2,c_3027]) ).

tff(c_2446,plain,
    ! [C_86] : ( join(zero,complement(complement(C_86))) = C_86 ),
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_2403]) ).

tff(c_3140,plain,
    ! [C_86] : ( complement(complement(C_86)) = C_86 ),
    inference(superposition,[status(thm),theory(equality)],[c_3134,c_2446]) ).

tff(c_3305,plain,
    ! [C_86] : ( join(zero,C_86) = C_86 ),
    inference(demodulation,[status(thm),theory(equality)],[c_3140,c_2446]) ).

tff(c_2458,plain,
    ! [A_63] : ( join(A_63,top) = top ),
    inference(demodulation,[status(thm),theory(equality)],[c_2444,c_1128]) ).

tff(c_248,plain,
    ! [A_37,B_38] : ( join(converse(A_37),converse(B_38)) = converse(join(A_37,B_38)) ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_3504,plain,
    ! [A_102,B_103] : ( converse(join(converse(A_102),B_103)) = join(A_102,converse(B_103)) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_248]) ).

tff(c_4670,plain,
    ! [A_116] : ( join(A_116,converse(top)) = converse(top) ),
    inference(superposition,[status(thm),theory(equality)],[c_2458,c_3504]) ).

tff(c_870,plain,
    ! [A_61,B_62] : ( join(A_61,join(B_62,complement(join(A_61,B_62)))) = top ),
    inference(superposition,[status(thm),theory(equality)],[c_354,c_24]) ).

tff(c_983,plain,
    ! [A_24] : ( join(A_24,join(complement(A_24),complement(top))) = top ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_870]) ).

tff(c_1006,plain,
    ! [A_24] : ( join(A_24,join(zero,complement(A_24))) = top ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_146,c_983]) ).

tff(c_2834,plain,
    ! [C_93] : ( join(complement(C_93),C_93) = top ),
    inference(superposition,[status(thm),theory(equality)],[c_2828,c_1006]) ).

tff(c_4693,plain,
    converse(top) = top,
    inference(superposition,[status(thm),theory(equality)],[c_4670,c_2834]) ).

tff(c_2230,plain,
    ! [B_82,A_83] : ( meet(B_82,A_83) = meet(A_83,B_82) ),
    inference(superposition,[status(thm),theory(equality)],[c_2084,c_8]) ).

tff(c_28,plain,
    meet(converse(sk1),sk2) = zero,
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_2265,plain,
    meet(sk2,converse(sk1)) = zero,
    inference(superposition,[status(thm),theory(equality)],[c_2230,c_28]) ).

tff(c_496,plain,
    ! [A_46,B_47] : ( join(meet(A_46,B_47),complement(join(complement(A_46),B_47))) = A_46 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).

tff(c_6532,plain,
    ! [A_136,A_137] : ( join(meet(A_136,A_137),complement(join(A_137,complement(A_136)))) = A_136 ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_496]) ).

tff(c_6629,plain,
    join(zero,complement(join(converse(sk1),complement(sk2)))) = sk2,
    inference(superposition,[status(thm),theory(equality)],[c_2265,c_6532]) ).

tff(c_6706,plain,
    complement(join(complement(sk2),converse(sk1))) = sk2,
    inference(demodulation,[status(thm),theory(equality)],[c_3305,c_2,c_6629]) ).

tff(c_8658,plain,
    join(complement(sk2),converse(sk1)) = complement(sk2),
    inference(superposition,[status(thm),theory(equality)],[c_6706,c_3140]) ).

tff(c_32744,plain,
    ! [B_317,A_318] : ( converse(join(B_317,converse(A_318))) = join(A_318,converse(B_317)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_3504]) ).

tff(c_32960,plain,
    join(sk1,converse(complement(sk2))) = converse(complement(sk2)),
    inference(superposition,[status(thm),theory(equality)],[c_8658,c_32744]) ).

tff(c_4835,plain,
    ! [B_117,A_118,C_119] : ( join(join(B_117,A_118),C_119) = join(A_118,join(B_117,C_119)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_354]) ).

tff(c_4977,plain,
    ! [A_24,C_119] : ( join(complement(A_24),join(A_24,C_119)) = join(top,C_119) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_4835]) ).

tff(c_5002,plain,
    ! [A_24,C_119] : ( join(complement(A_24),join(A_24,C_119)) = top ),
    inference(demodulation,[status(thm),theory(equality)],[c_2549,c_4977]) ).

tff(c_36371,plain,
    join(complement(sk1),converse(complement(sk2))) = top,
    inference(superposition,[status(thm),theory(equality)],[c_32960,c_5002]) ).

tff(c_272,plain,
    ! [A_37,A_17] : ( converse(join(A_37,converse(A_17))) = join(converse(A_37),A_17) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_248]) ).

tff(c_37219,plain,
    join(converse(complement(sk1)),complement(sk2)) = converse(top),
    inference(superposition,[status(thm),theory(equality)],[c_36371,c_272]) ).

tff(c_37256,plain,
    join(converse(complement(sk1)),complement(sk2)) = top,
    inference(demodulation,[status(thm),theory(equality)],[c_4693,c_37219]) ).

tff(c_546,plain,
    ! [A_46,A_1] : ( join(meet(A_46,A_1),complement(join(A_1,complement(A_46)))) = A_46 ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_496]) ).

tff(c_37317,plain,
    join(meet(sk2,converse(complement(sk1))),complement(top)) = sk2,
    inference(superposition,[status(thm),theory(equality)],[c_37256,c_546]) ).

tff(c_37385,plain,
    meet(sk2,converse(complement(sk1))) = sk2,
    inference(demodulation,[status(thm),theory(equality)],[c_3305,c_2,c_146,c_37317]) ).

tff(c_18727,plain,
    ! [A_226,A_227,B_228] : ( meet(A_226,join(complement(A_227),complement(B_228))) = complement(join(complement(A_226),meet(A_227,B_228))) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_109]) ).

tff(c_5012,plain,
    ! [B_120,A_121,B_122] : ( join(B_120,join(A_121,B_122)) = join(A_121,join(B_122,B_120)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_354]) ).

tff(c_5351,plain,
    ! [A_24,A_121] : ( join(complement(A_24),join(A_121,A_24)) = join(A_121,top) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_5012]) ).

tff(c_5571,plain,
    ! [A_124,A_125] : ( join(complement(A_124),join(A_125,A_124)) = top ),
    inference(demodulation,[status(thm),theory(equality)],[c_2458,c_5351]) ).

tff(c_5597,plain,
    ! [A_124,A_125] : ( join(meet(A_124,join(A_125,A_124)),complement(top)) = A_124 ),
    inference(superposition,[status(thm),theory(equality)],[c_5571,c_31]) ).

tff(c_5705,plain,
    ! [A_124,A_125] : ( meet(A_124,join(A_125,A_124)) = A_124 ),
    inference(demodulation,[status(thm),theory(equality)],[c_3305,c_2,c_146,c_5597]) ).

tff(c_18810,plain,
    ! [B_228,A_227] : ( complement(join(complement(complement(B_228)),meet(A_227,B_228))) = complement(B_228) ),
    inference(superposition,[status(thm),theory(equality)],[c_18727,c_5705]) ).

tff(c_25844,plain,
    ! [B_281,A_282] : ( complement(join(B_281,meet(A_282,B_281))) = complement(B_281) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3140,c_18810]) ).

tff(c_25980,plain,
    ! [B_281,A_282] : ( join(B_281,meet(A_282,B_281)) = complement(complement(B_281)) ),
    inference(superposition,[status(thm),theory(equality)],[c_25844,c_3140]) ).

tff(c_26253,plain,
    ! [B_283,A_284] : ( join(B_283,meet(A_284,B_283)) = B_283 ),
    inference(demodulation,[status(thm),theory(equality)],[c_3140,c_25980]) ).

tff(c_269,plain,
    ! [A_17,B_38] : ( converse(join(converse(A_17),B_38)) = join(A_17,converse(B_38)) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_248]) ).

tff(c_26384,plain,
    ! [A_17,A_284] : ( join(A_17,converse(meet(A_284,converse(A_17)))) = converse(converse(A_17)) ),
    inference(superposition,[status(thm),theory(equality)],[c_26253,c_269]) ).

tff(c_51993,plain,
    ! [A_374,A_375] : ( join(A_374,converse(meet(A_375,converse(A_374)))) = A_374 ),
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_26384]) ).

tff(c_52251,plain,
    join(complement(sk1),converse(sk2)) = complement(sk1),
    inference(superposition,[status(thm),theory(equality)],[c_37385,c_51993]) ).

tff(c_538,plain,
    ! [A_8,B_9] : ( join(meet(A_8,complement(B_9)),meet(A_8,B_9)) = A_8 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_496]) ).

tff(c_6159,plain,
    ! [A_132,B_133] : ( join(complement(meet(A_132,B_133)),A_132) = top ),
    inference(superposition,[status(thm),theory(equality)],[c_538,c_5571]) ).

tff(c_6224,plain,
    ! [B_9,B_133] : ( meet(meet(complement(B_9),B_133),B_9) = complement(top) ),
    inference(superposition,[status(thm),theory(equality)],[c_6159,c_8]) ).

tff(c_7972,plain,
    ! [B_151,B_152] : ( meet(meet(complement(B_151),B_152),B_151) = zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_6224]) ).

tff(c_8291,plain,
    ! [A_155,B_156] : ( meet(meet(A_155,complement(B_156)),B_156) = zero ),
    inference(superposition,[status(thm),theory(equality)],[c_2132,c_7972]) ).

tff(c_9583,plain,
    ! [A_163,C_164] : ( meet(meet(A_163,C_164),complement(C_164)) = zero ),
    inference(superposition,[status(thm),theory(equality)],[c_3140,c_8291]) ).

tff(c_9665,plain,
    ! [A_124,A_125] : ( meet(A_124,complement(join(A_125,A_124))) = zero ),
    inference(superposition,[status(thm),theory(equality)],[c_5705,c_9583]) ).

tff(c_55291,plain,
    meet(converse(sk2),complement(complement(sk1))) = zero,
    inference(superposition,[status(thm),theory(equality)],[c_52251,c_9665]) ).

tff(c_55365,plain,
    meet(sk1,converse(sk2)) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_2132,c_3140,c_55291]) ).

tff(c_55367,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_30,c_55365]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : REL006-1 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.15  % 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
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Thu Aug  3 15:29:17 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 16.71/7.90  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.81/7.92  
% 16.81/7.92  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.81/7.96  
% 16.81/7.96  Inference rules
% 16.81/7.96  ----------------------
% 16.81/7.96  #Ref     : 0
% 16.81/7.96  #Sup     : 13888
% 16.81/7.96  #Fact    : 0
% 16.81/7.96  #Define  : 0
% 16.81/7.96  #Split   : 0
% 16.81/7.96  #Chain   : 0
% 16.81/7.96  #Close   : 0
% 16.81/7.96  
% 16.81/7.96  Ordering : KBO
% 16.81/7.96  
% 16.81/7.96  Simplification rules
% 16.81/7.96  ----------------------
% 16.81/7.96  #Subsume      : 212
% 16.81/7.96  #Demod        : 20620
% 16.81/7.96  #Tautology    : 9054
% 16.81/7.96  #SimpNegUnit  : 1
% 16.81/7.96  #BackRed      : 43
% 16.81/7.96  
% 16.81/7.96  #Partial instantiations: 0
% 16.81/7.96  #Strategies tried      : 1
% 16.81/7.96  
% 16.81/7.96  Timing (in seconds)
% 16.81/7.96  ----------------------
% 16.81/7.96  Preprocessing        : 0.45
% 16.81/7.96  Parsing              : 0.24
% 16.81/7.96  CNF conversion       : 0.02
% 16.81/7.96  Main loop            : 6.41
% 16.81/7.96  Inferencing          : 1.01
% 16.81/7.96  Reduction            : 4.10
% 16.81/7.96  Demodulation         : 3.78
% 16.81/7.96  BG Simplification    : 0.10
% 16.81/7.96  Subsumption          : 0.91
% 16.81/7.96  Abstraction          : 0.17
% 16.81/7.96  MUC search           : 0.00
% 16.81/7.96  Cooper               : 0.00
% 16.81/7.96  Total                : 6.93
% 16.81/7.96  Index Insertion      : 0.00
% 16.81/7.96  Index Deletion       : 0.00
% 16.81/7.96  Index Matching       : 0.00
% 16.81/7.96  BG Taut test         : 0.00
%------------------------------------------------------------------------------