TSTP Solution File: GRP707-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP707-1 : 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/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 : n032.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 10:41:59 EDT 2023
% Result : Unsatisfiable 37.94s 27.19s
% Output : CNFRefutation 38.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 168 ( 162 unt; 6 typ; 0 def)
% Number of atoms : 162 ( 161 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 317 (; 317 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rd > mult > ld > #nlpp > unit > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(ld,type,
ld: ( $i * $i ) > $i ).
tff(rd,type,
rd: ( $i * $i ) > $i ).
tff(a,type,
a: $i ).
tff(b,type,
b: $i ).
tff(unit,type,
unit: $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(f_25,axiom,
! [A,B] : ( mult(A,ld(A,B)) = B ),
file(unknown,unknown) ).
tff(f_41,axiom,
! [A,B] : ( mult(mult(A,A),B) = mult(B,mult(A,A)) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A,B] : ( mult(rd(A,B),B) = A ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A,B] : ( ld(A,mult(A,B)) = B ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [A] : ( mult(A,unit) = A ),
file(unknown,unknown) ).
tff(f_39,axiom,
! [A] : ( mult(A,mult(A,mult(A,A))) = unit ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [A] : ( mult(unit,A) = A ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [A,B,C] : ( mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C) ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [A,B] : ( rd(mult(A,B),B) = A ),
file(unknown,unknown) ).
tff(f_43,axiom,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1,B_2] : ( mult(A_1,ld(A_1,B_2)) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_323,plain,
! [A_36,B_37] : ( mult(mult(A_36,A_36),B_37) = mult(B_37,mult(A_36,A_36)) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_6,plain,
! [A_5,B_6] : ( mult(rd(A_5,B_6),B_6) = A_5 ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_890,plain,
! [A_49,A_50] : ( mult(mult(A_49,A_49),rd(A_50,mult(A_49,A_49))) = A_50 ),
inference(superposition,[status(thm),theory(equality)],[c_323,c_6]) ).
tff(c_4,plain,
! [A_3,B_4] : ( ld(A_3,mult(A_3,B_4)) = B_4 ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_902,plain,
! [A_50,A_49] : ( rd(A_50,mult(A_49,A_49)) = ld(mult(A_49,A_49),A_50) ),
inference(superposition,[status(thm),theory(equality)],[c_890,c_4]) ).
tff(c_49,plain,
! [A_19,B_20] : ( mult(rd(A_19,B_20),B_20) = A_19 ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_10,plain,
! [A_9] : ( mult(A_9,unit) = A_9 ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_56,plain,
! [A_19] : ( rd(A_19,unit) = A_19 ),
inference(superposition,[status(thm),theory(equality)],[c_49,c_10]) ).
tff(c_285,plain,
! [A_35] : ( mult(A_35,mult(A_35,mult(A_35,A_35))) = unit ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_293,plain,
! [A_35] : ( mult(A_35,mult(A_35,A_35)) = ld(A_35,unit) ),
inference(superposition,[status(thm),theory(equality)],[c_285,c_4]) ).
tff(c_12,plain,
! [A_10] : ( mult(unit,A_10) = A_10 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_675,plain,
! [A_45,B_46,C_47] : ( mult(mult(mult(A_45,B_46),B_46),C_47) = mult(A_45,mult(B_46,mult(B_46,C_47))) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_798,plain,
! [A_10,C_47] : ( mult(unit,mult(A_10,mult(A_10,C_47))) = mult(mult(A_10,A_10),C_47) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_675]) ).
tff(c_817,plain,
! [A_10,C_47] : ( mult(mult(A_10,A_10),C_47) = mult(A_10,mult(A_10,C_47)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_798]) ).
tff(c_353,plain,
! [A_36,A_5] : ( mult(mult(A_36,A_36),rd(A_5,mult(A_36,A_36))) = A_5 ),
inference(superposition,[status(thm),theory(equality)],[c_323,c_6]) ).
tff(c_8,plain,
! [A_7,B_8] : ( rd(mult(A_7,B_8),B_8) = A_7 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_340,plain,
! [A_36,B_37] : ( rd(mult(mult(A_36,A_36),B_37),mult(A_36,A_36)) = B_37 ),
inference(superposition,[status(thm),theory(equality)],[c_323,c_8]) ).
tff(c_1540,plain,
! [A_62,B_63] : ( rd(mult(A_62,mult(A_62,B_63)),mult(A_62,A_62)) = B_63 ),
inference(demodulation,[status(thm),theory(equality)],[c_817,c_340]) ).
tff(c_1576,plain,
! [A_36,A_5] : ( rd(mult(mult(A_36,A_36),A_5),mult(mult(A_36,A_36),mult(A_36,A_36))) = rd(A_5,mult(A_36,A_36)) ),
inference(superposition,[status(thm),theory(equality)],[c_353,c_1540]) ).
tff(c_1627,plain,
! [A_5,A_36] : ( rd(A_5,mult(A_36,A_36)) = mult(A_36,mult(A_36,A_5)) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_2,c_293,c_817,c_817,c_1576]) ).
tff(c_12632,plain,
! [A_170,A_171] : ( mult(A_170,mult(A_170,A_171)) = ld(mult(A_170,A_170),A_171) ),
inference(demodulation,[status(thm),theory(equality)],[c_902,c_1627]) ).
tff(c_18223,plain,
! [A_218,B_219] : ( ld(mult(A_218,A_218),ld(A_218,B_219)) = mult(A_218,B_219) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_12632]) ).
tff(c_12616,plain,
! [A_36,A_5] : ( mult(A_36,mult(A_36,A_5)) = ld(mult(A_36,A_36),A_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_902,c_1627]) ).
tff(c_12630,plain,
! [A_10,C_47] : ( mult(mult(A_10,A_10),C_47) = ld(mult(A_10,A_10),C_47) ),
inference(demodulation,[status(thm),theory(equality)],[c_12616,c_817]) ).
tff(c_739,plain,
! [A_45,B_46] : ( mult(A_45,mult(B_46,mult(B_46,unit))) = mult(mult(A_45,B_46),B_46) ),
inference(superposition,[status(thm),theory(equality)],[c_675,c_10]) ).
tff(c_807,plain,
! [A_45,B_46] : ( mult(mult(A_45,B_46),B_46) = mult(A_45,mult(B_46,B_46)) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_739]) ).
tff(c_728,plain,
! [A_45,B_46,C_47] : ( rd(mult(A_45,mult(B_46,mult(B_46,C_47))),C_47) = mult(mult(A_45,B_46),B_46) ),
inference(superposition,[status(thm),theory(equality)],[c_675,c_8]) ).
tff(c_3468,plain,
! [A_87,B_88,C_89] : ( rd(mult(A_87,mult(B_88,mult(B_88,C_89))),C_89) = mult(A_87,mult(B_88,B_88)) ),
inference(demodulation,[status(thm),theory(equality)],[c_807,c_728]) ).
tff(c_3568,plain,
! [A_87,A_35] : ( rd(mult(A_87,mult(A_35,ld(A_35,unit))),mult(A_35,A_35)) = mult(A_87,mult(A_35,A_35)) ),
inference(superposition,[status(thm),theory(equality)],[c_293,c_3468]) ).
tff(c_3626,plain,
! [A_87,A_35] : ( mult(A_87,mult(A_35,A_35)) = ld(mult(A_35,A_35),A_87) ),
inference(demodulation,[status(thm),theory(equality)],[c_902,c_10,c_2,c_3568]) ).
tff(c_1048,plain,
! [A_53,B_54] : ( mult(mult(A_53,B_54),B_54) = mult(A_53,mult(B_54,B_54)) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_739]) ).
tff(c_1077,plain,
! [A_53,B_54] : ( rd(mult(A_53,mult(B_54,B_54)),B_54) = mult(A_53,B_54) ),
inference(superposition,[status(thm),theory(equality)],[c_1048,c_8]) ).
tff(c_15314,plain,
! [B_194,A_195] : ( rd(ld(mult(B_194,B_194),A_195),B_194) = mult(A_195,B_194) ),
inference(demodulation,[status(thm),theory(equality)],[c_3626,c_1077]) ).
tff(c_15447,plain,
! [B_194,B_4] : ( mult(mult(mult(B_194,B_194),B_4),B_194) = rd(B_4,B_194) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15314]) ).
tff(c_15486,plain,
! [B_194,B_4] : ( mult(ld(mult(B_194,B_194),B_4),B_194) = rd(B_4,B_194) ),
inference(demodulation,[status(thm),theory(equality)],[c_12630,c_15447]) ).
tff(c_18235,plain,
! [A_218,B_219] : ( rd(ld(A_218,B_219),A_218) = mult(mult(A_218,B_219),A_218) ),
inference(superposition,[status(thm),theory(equality)],[c_18223,c_15486]) ).
tff(c_18,plain,
! [A_15,B_16] : ( mult(mult(A_15,A_15),B_16) = mult(B_16,mult(A_15,A_15)) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_774,plain,
! [B_16,C_47] : ( mult(mult(B_16,mult(B_16,B_16)),C_47) = mult(B_16,mult(B_16,mult(B_16,C_47))) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_675]) ).
tff(c_2907,plain,
! [B_80,C_81] : ( mult(B_80,mult(B_80,mult(B_80,C_81))) = mult(ld(B_80,unit),C_81) ),
inference(demodulation,[status(thm),theory(equality)],[c_293,c_774]) ).
tff(c_2998,plain,
! [A_35] : ( mult(ld(A_35,unit),A_35) = mult(A_35,ld(A_35,unit)) ),
inference(superposition,[status(thm),theory(equality)],[c_293,c_2907]) ).
tff(c_3045,plain,
! [A_82] : ( mult(ld(A_82,unit),A_82) = unit ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2998]) ).
tff(c_3084,plain,
! [A_82] : ( rd(unit,A_82) = ld(A_82,unit) ),
inference(superposition,[status(thm),theory(equality)],[c_3045,c_8]) ).
tff(c_111,plain,
! [A_25,B_26] : ( ld(A_25,mult(A_25,B_26)) = B_26 ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_134,plain,
! [A_5,B_6] : ( ld(rd(A_5,B_6),A_5) = B_6 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_111]) ).
tff(c_14,plain,
! [A_11,B_12,C_13] : ( mult(mult(mult(A_11,B_12),B_12),C_13) = mult(A_11,mult(B_12,mult(B_12,C_13))) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_1047,plain,
! [A_11,B_12,C_13] : ( mult(mult(A_11,mult(B_12,B_12)),C_13) = mult(A_11,mult(B_12,mult(B_12,C_13))) ),
inference(demodulation,[status(thm),theory(equality)],[c_807,c_14]) ).
tff(c_6639,plain,
! [A_123,B_124] : ( rd(mult(A_123,mult(B_124,B_124)),B_124) = mult(A_123,B_124) ),
inference(superposition,[status(thm),theory(equality)],[c_1048,c_8]) ).
tff(c_6736,plain,
! [A_45,B_124] : ( rd(mult(A_45,mult(mult(B_124,B_124),mult(B_124,B_124))),B_124) = mult(mult(A_45,mult(B_124,B_124)),B_124) ),
inference(superposition,[status(thm),theory(equality)],[c_807,c_6639]) ).
tff(c_6801,plain,
! [A_125,B_126] : ( mult(A_125,ld(B_126,unit)) = rd(A_125,B_126) ),
inference(demodulation,[status(thm),theory(equality)],[c_293,c_1047,c_10,c_2,c_293,c_817,c_6736]) ).
tff(c_7040,plain,
! [A_125,B_6] : ( rd(A_125,rd(unit,B_6)) = mult(A_125,B_6) ),
inference(superposition,[status(thm),theory(equality)],[c_134,c_6801]) ).
tff(c_7778,plain,
! [A_136,B_137] : ( rd(A_136,ld(B_137,unit)) = mult(A_136,B_137) ),
inference(demodulation,[status(thm),theory(equality)],[c_3084,c_7040]) ).
tff(c_8162,plain,
! [A_140,B_141] : ( ld(mult(A_140,B_141),A_140) = ld(B_141,unit) ),
inference(superposition,[status(thm),theory(equality)],[c_7778,c_134]) ).
tff(c_8315,plain,
! [A_1,B_2] : ( ld(ld(A_1,B_2),unit) = ld(B_2,A_1) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_8162]) ).
tff(c_813,plain,
! [B_16,C_47] : ( mult(B_16,mult(B_16,mult(B_16,C_47))) = mult(ld(B_16,unit),C_47) ),
inference(demodulation,[status(thm),theory(equality)],[c_293,c_774]) ).
tff(c_80,plain,
! [A_22,B_23] : ( mult(A_22,ld(A_22,B_23)) = B_23 ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_87,plain,
! [B_23] : ( ld(unit,B_23) = B_23 ),
inference(superposition,[status(thm),theory(equality)],[c_80,c_12]) ).
tff(c_1324,plain,
! [A_59,C_60] : ( mult(mult(A_59,A_59),C_60) = mult(A_59,mult(A_59,C_60)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_798]) ).
tff(c_3332,plain,
! [A_85,B_86] : ( mult(A_85,mult(A_85,ld(mult(A_85,A_85),B_86))) = B_86 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1324]) ).
tff(c_3360,plain,
! [A_10,B_86] : ( mult(A_10,mult(A_10,mult(mult(A_10,A_10),ld(mult(mult(A_10,A_10),mult(A_10,A_10)),B_86)))) = B_86 ),
inference(superposition,[status(thm),theory(equality)],[c_3332,c_817]) ).
tff(c_3635,plain,
! [A_90,B_91] : ( mult(A_90,mult(ld(A_90,unit),B_91)) = B_91 ),
inference(demodulation,[status(thm),theory(equality)],[c_813,c_817,c_87,c_2,c_293,c_817,c_3360]) ).
tff(c_3682,plain,
! [A_90,B_91] : ( mult(ld(A_90,unit),B_91) = ld(A_90,B_91) ),
inference(superposition,[status(thm),theory(equality)],[c_3635,c_4]) ).
tff(c_2944,plain,
! [B_80,C_81] : ( ld(B_80,mult(ld(B_80,unit),C_81)) = mult(B_80,mult(B_80,C_81)) ),
inference(superposition,[status(thm),theory(equality)],[c_2907,c_4]) ).
tff(c_19460,plain,
! [B_80,C_81] : ( ld(mult(B_80,B_80),C_81) = ld(B_80,ld(B_80,C_81)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12616,c_3682,c_2944]) ).
tff(c_777,plain,
! [A_1,B_2,C_47] : ( mult(A_1,mult(ld(A_1,B_2),mult(ld(A_1,B_2),C_47))) = mult(mult(B_2,ld(A_1,B_2)),C_47) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_675]) ).
tff(c_13242,plain,
! [A_176,B_177,C_178] : ( mult(A_176,ld(mult(ld(A_176,B_177),ld(A_176,B_177)),C_178)) = mult(mult(B_177,ld(A_176,B_177)),C_178) ),
inference(demodulation,[status(thm),theory(equality)],[c_12616,c_777]) ).
tff(c_13474,plain,
! [B_177,C_178] : ( ld(mult(ld(unit,B_177),ld(unit,B_177)),C_178) = mult(mult(B_177,ld(unit,B_177)),C_178) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_13242]) ).
tff(c_13533,plain,
! [B_177,C_178] : ( mult(mult(B_177,B_177),C_178) = ld(mult(B_177,B_177),C_178) ),
inference(demodulation,[status(thm),theory(equality)],[c_87,c_87,c_87,c_13474]) ).
tff(c_23325,plain,
! [B_177,C_178] : ( mult(mult(B_177,B_177),C_178) = ld(B_177,ld(B_177,C_178)) ),
inference(demodulation,[status(thm),theory(equality)],[c_19460,c_13533]) ).
tff(c_1390,plain,
! [A_59] : ( mult(mult(A_59,A_59),mult(A_59,mult(A_59,mult(A_59,A_59)))) = ld(mult(A_59,A_59),unit) ),
inference(superposition,[status(thm),theory(equality)],[c_1324,c_293]) ).
tff(c_1494,plain,
! [A_61] : ( ld(mult(A_61,A_61),unit) = mult(A_61,A_61) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_2,c_293,c_1390]) ).
tff(c_1515,plain,
! [A_61] : ( mult(mult(A_61,A_61),mult(A_61,A_61)) = unit ),
inference(superposition,[status(thm),theory(equality)],[c_1494,c_2]) ).
tff(c_148,plain,
! [A_27,B_28] : ( rd(mult(A_27,B_28),B_28) = A_27 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_164,plain,
! [B_2,A_1] : ( rd(B_2,ld(A_1,B_2)) = A_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_148]) ).
tff(c_6791,plain,
! [A_45,B_124] : ( mult(A_45,ld(B_124,unit)) = rd(A_45,B_124) ),
inference(demodulation,[status(thm),theory(equality)],[c_293,c_1047,c_10,c_2,c_293,c_817,c_6736]) ).
tff(c_725,plain,
! [A_15,A_45,B_46] : ( mult(mult(A_15,A_15),mult(mult(A_45,B_46),B_46)) = mult(A_45,mult(B_46,mult(B_46,mult(A_15,A_15)))) ),
inference(superposition,[status(thm),theory(equality)],[c_675,c_18]) ).
tff(c_9536,plain,
! [A_45,B_46,A_15] : ( mult(A_45,mult(B_46,mult(B_46,mult(A_15,A_15)))) = mult(A_15,mult(A_15,mult(A_45,mult(B_46,B_46)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_817,c_807,c_725]) ).
tff(c_1481,plain,
! [A_59] : ( ld(mult(A_59,A_59),unit) = mult(A_59,A_59) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_2,c_293,c_1390]) ).
tff(c_9537,plain,
! [A_155,A_153,B_154] : ( mult(A_155,mult(A_155,mult(A_153,mult(B_154,B_154)))) = mult(A_153,mult(B_154,mult(B_154,mult(A_155,A_155)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_817,c_807,c_725]) ).
tff(c_9962,plain,
! [A_15,A_153] : ( mult(mult(A_15,A_15),mult(mult(A_15,A_15),mult(A_153,mult(mult(A_15,A_15),mult(A_15,A_15))))) = mult(A_153,mult(A_15,mult(A_15,mult(mult(A_15,A_15),mult(mult(A_15,A_15),mult(A_15,A_15)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_9536,c_9537]) ).
tff(c_11336,plain,
! [A_162,A_163] : ( mult(A_162,mult(A_162,mult(A_162,mult(A_162,A_163)))) = A_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_2,c_293,c_1481,c_817,c_817,c_10,c_2,c_293,c_817,c_293,c_9962]) ).
tff(c_11497,plain,
! [B_46,A_15] : ( mult(B_46,mult(A_15,mult(A_15,mult(B_46,mult(B_46,B_46))))) = mult(A_15,A_15) ),
inference(superposition,[status(thm),theory(equality)],[c_9536,c_11336]) ).
tff(c_21479,plain,
! [B_246,A_247] : ( mult(B_246,mult(A_247,rd(A_247,B_246))) = mult(A_247,A_247) ),
inference(demodulation,[status(thm),theory(equality)],[c_6791,c_293,c_11497]) ).
tff(c_40877,plain,
! [A_370,B_371] : ( mult(ld(A_370,B_371),mult(B_371,A_370)) = mult(B_371,B_371) ),
inference(superposition,[status(thm),theory(equality)],[c_164,c_21479]) ).
tff(c_54301,plain,
! [B_433,A_434] : ( rd(mult(B_433,B_433),mult(B_433,A_434)) = ld(A_434,B_433) ),
inference(superposition,[status(thm),theory(equality)],[c_40877,c_8]) ).
tff(c_54616,plain,
! [A_61,A_434] : ( rd(unit,mult(mult(A_61,A_61),A_434)) = ld(A_434,mult(A_61,A_61)) ),
inference(superposition,[status(thm),theory(equality)],[c_1515,c_54301]) ).
tff(c_54730,plain,
! [A_61,A_434] : ( ld(ld(A_61,A_434),A_61) = ld(A_434,mult(A_61,A_61)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8315,c_3084,c_23325,c_54616]) ).
tff(c_10235,plain,
! [A_35,A_153] : ( mult(A_35,mult(A_35,mult(A_153,mult(A_35,A_35)))) = mult(A_153,mult(A_35,ld(A_35,unit))) ),
inference(superposition,[status(thm),theory(equality)],[c_293,c_9537]) ).
tff(c_10787,plain,
! [A_158,A_159] : ( mult(A_158,mult(A_158,mult(A_159,mult(A_158,A_158)))) = A_159 ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_2,c_10235]) ).
tff(c_1322,plain,
! [A_36,B_37] : ( rd(mult(A_36,mult(A_36,B_37)),mult(A_36,A_36)) = B_37 ),
inference(demodulation,[status(thm),theory(equality)],[c_817,c_340]) ).
tff(c_10870,plain,
! [A_159,A_158] : ( rd(A_159,mult(A_158,A_158)) = mult(A_159,mult(A_158,A_158)) ),
inference(superposition,[status(thm),theory(equality)],[c_10787,c_1322]) ).
tff(c_11055,plain,
! [A_159,A_158] : ( mult(A_159,mult(A_158,A_158)) = ld(mult(A_158,A_158),A_159) ),
inference(demodulation,[status(thm),theory(equality)],[c_902,c_10870]) ).
tff(c_22535,plain,
! [A_159,A_158] : ( mult(A_159,mult(A_158,A_158)) = ld(A_158,ld(A_158,A_159)) ),
inference(demodulation,[status(thm),theory(equality)],[c_19460,c_11055]) ).
tff(c_731,plain,
! [A_45,B_46,C_47] : ( ld(mult(mult(A_45,B_46),B_46),mult(A_45,mult(B_46,mult(B_46,C_47)))) = C_47 ),
inference(superposition,[status(thm),theory(equality)],[c_675,c_4]) ).
tff(c_5363,plain,
! [A_111,B_112,C_113] : ( ld(mult(A_111,mult(B_112,B_112)),mult(A_111,mult(B_112,mult(B_112,C_113)))) = C_113 ),
inference(demodulation,[status(thm),theory(equality)],[c_807,c_731]) ).
tff(c_5545,plain,
! [A_111,A_35] : ( ld(mult(A_111,mult(A_35,A_35)),mult(A_111,ld(A_35,unit))) = A_35 ),
inference(superposition,[status(thm),theory(equality)],[c_293,c_5363]) ).
tff(c_28489,plain,
! [A_301,A_302] : ( ld(ld(A_301,ld(A_301,A_302)),rd(A_302,A_301)) = A_301 ),
inference(demodulation,[status(thm),theory(equality)],[c_22535,c_6791,c_5545]) ).
tff(c_4524,plain,
! [A_101,B_102] : ( mult(ld(A_101,unit),B_102) = ld(A_101,B_102) ),
inference(superposition,[status(thm),theory(equality)],[c_3635,c_4]) ).
tff(c_4714,plain,
! [A_101,B_102] : ( ld(ld(A_101,unit),ld(A_101,B_102)) = B_102 ),
inference(superposition,[status(thm),theory(equality)],[c_4524,c_4]) ).
tff(c_28549,plain,
! [A_301,A_302] : ( ld(ld(ld(A_301,ld(A_301,A_302)),unit),A_301) = rd(A_302,A_301) ),
inference(superposition,[status(thm),theory(equality)],[c_28489,c_4714]) ).
tff(c_28746,plain,
! [A_301,A_302] : ( ld(ld(ld(A_301,A_302),A_301),A_301) = rd(A_302,A_301) ),
inference(demodulation,[status(thm),theory(equality)],[c_8315,c_28549]) ).
tff(c_72220,plain,
! [A_302,A_301] : ( ld(ld(A_302,mult(A_301,A_301)),A_301) = rd(A_302,A_301) ),
inference(demodulation,[status(thm),theory(equality)],[c_54730,c_28746]) ).
tff(c_346,plain,
! [B_37,A_36] : ( ld(B_37,mult(mult(A_36,A_36),B_37)) = mult(A_36,A_36) ),
inference(superposition,[status(thm),theory(equality)],[c_323,c_4]) ).
tff(c_1826,plain,
! [B_66,A_67] : ( ld(B_66,mult(A_67,mult(A_67,B_66))) = mult(A_67,A_67) ),
inference(demodulation,[status(thm),theory(equality)],[c_817,c_346]) ).
tff(c_1843,plain,
! [B_66,A_67] : ( mult(B_66,mult(A_67,A_67)) = mult(A_67,mult(A_67,B_66)) ),
inference(superposition,[status(thm),theory(equality)],[c_1826,c_2]) ).
tff(c_11704,plain,
! [A_164,B_165] : ( rd(mult(A_164,B_165),mult(A_164,A_164)) = ld(A_164,B_165) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1540]) ).
tff(c_11859,plain,
! [A_67,B_165] : ( rd(mult(mult(A_67,A_67),B_165),mult(A_67,mult(A_67,mult(A_67,A_67)))) = ld(mult(A_67,A_67),B_165) ),
inference(superposition,[status(thm),theory(equality)],[c_1843,c_11704]) ).
tff(c_11954,plain,
! [A_67,B_165] : ( mult(A_67,mult(A_67,B_165)) = ld(mult(A_67,A_67),B_165) ),
inference(demodulation,[status(thm),theory(equality)],[c_817,c_56,c_2,c_293,c_11859]) ).
tff(c_23745,plain,
! [A_67,B_165] : ( mult(A_67,mult(A_67,B_165)) = ld(A_67,ld(A_67,B_165)) ),
inference(demodulation,[status(thm),theory(equality)],[c_19460,c_11954]) ).
tff(c_7246,plain,
! [A_129,B_130,C_131] : ( mult(rd(A_129,B_130),mult(B_130,mult(B_130,C_131))) = mult(mult(A_129,B_130),C_131) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_675]) ).
tff(c_7417,plain,
! [A_129,A_35] : ( mult(rd(A_129,A_35),mult(A_35,ld(A_35,unit))) = mult(mult(A_129,A_35),mult(A_35,A_35)) ),
inference(superposition,[status(thm),theory(equality)],[c_293,c_7246]) ).
tff(c_10490,plain,
! [A_156,A_157] : ( mult(A_156,mult(A_156,mult(A_157,A_156))) = rd(A_157,A_156) ),
inference(demodulation,[status(thm),theory(equality)],[c_1843,c_10,c_2,c_7417]) ).
tff(c_10730,plain,
! [A_5,B_6] : ( rd(rd(A_5,B_6),B_6) = mult(B_6,mult(B_6,A_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_10490]) ).
tff(c_27434,plain,
! [A_5,B_6] : ( rd(rd(A_5,B_6),B_6) = ld(B_6,ld(B_6,A_5)) ),
inference(demodulation,[status(thm),theory(equality)],[c_23745,c_10730]) ).
tff(c_8666,plain,
! [A_145,B_146] : ( ld(ld(A_145,B_146),unit) = ld(B_146,A_145) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_8162]) ).
tff(c_8696,plain,
! [B_146,A_145,B_91] : ( mult(ld(B_146,A_145),B_91) = ld(ld(A_145,B_146),B_91) ),
inference(superposition,[status(thm),theory(equality)],[c_8666,c_3682]) ).
tff(c_7837,plain,
! [A_136,B_137] : ( ld(mult(A_136,B_137),A_136) = ld(B_137,unit) ),
inference(superposition,[status(thm),theory(equality)],[c_7778,c_134]) ).
tff(c_4664,plain,
! [A_101,B_102] : ( mult(ld(A_101,unit),mult(B_102,B_102)) = mult(ld(A_101,B_102),B_102) ),
inference(superposition,[status(thm),theory(equality)],[c_4524,c_807]) ).
tff(c_53861,plain,
! [A_431,B_432] : ( mult(ld(A_431,B_432),B_432) = ld(A_431,mult(B_432,B_432)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3682,c_4664]) ).
tff(c_54169,plain,
! [A_136,B_137] : ( ld(mult(A_136,B_137),mult(A_136,A_136)) = mult(ld(B_137,unit),A_136) ),
inference(superposition,[status(thm),theory(equality)],[c_7837,c_53861]) ).
tff(c_54283,plain,
! [A_136,B_137] : ( ld(mult(A_136,B_137),mult(A_136,A_136)) = ld(B_137,A_136) ),
inference(demodulation,[status(thm),theory(equality)],[c_3682,c_54169]) ).
tff(c_10591,plain,
! [A_156,A_157] : ( mult(A_156,mult(A_157,A_156)) = ld(A_156,rd(A_157,A_156)) ),
inference(superposition,[status(thm),theory(equality)],[c_10490,c_4]) ).
tff(c_412,plain,
! [A_38] : ( mult(A_38,mult(A_38,A_38)) = ld(A_38,unit) ),
inference(superposition,[status(thm),theory(equality)],[c_285,c_4]) ).
tff(c_421,plain,
! [A_38] : ( ld(A_38,ld(A_38,unit)) = mult(A_38,A_38) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_4]) ).
tff(c_3087,plain,
! [A_82] : ( ld(ld(A_82,unit),unit) = A_82 ),
inference(superposition,[status(thm),theory(equality)],[c_3045,c_4]) ).
tff(c_3790,plain,
! [B_92,A_93] : ( rd(B_92,mult(ld(A_93,unit),B_92)) = A_93 ),
inference(superposition,[status(thm),theory(equality)],[c_3635,c_8]) ).
tff(c_3825,plain,
! [B_92,A_82] : ( rd(B_92,mult(A_82,B_92)) = ld(A_82,unit) ),
inference(superposition,[status(thm),theory(equality)],[c_3087,c_3790]) ).
tff(c_5248,plain,
! [A_109,B_110] : ( rd(ld(A_109,B_110),B_110) = ld(A_109,unit) ),
inference(superposition,[status(thm),theory(equality)],[c_4524,c_8]) ).
tff(c_5659,plain,
! [A_114,B_115] : ( ld(rd(A_114,B_115),unit) = rd(B_115,A_114) ),
inference(superposition,[status(thm),theory(equality)],[c_134,c_5248]) ).
tff(c_3745,plain,
! [B_6,B_91] : ( mult(rd(unit,B_6),mult(B_6,B_91)) = B_91 ),
inference(superposition,[status(thm),theory(equality)],[c_134,c_3635]) ).
tff(c_3783,plain,
! [B_6,B_91] : ( mult(ld(B_6,unit),mult(B_6,B_91)) = B_91 ),
inference(demodulation,[status(thm),theory(equality)],[c_3084,c_3745]) ).
tff(c_93443,plain,
! [B_573,A_574,B_575] : ( mult(rd(B_573,A_574),mult(rd(A_574,B_573),B_575)) = B_575 ),
inference(superposition,[status(thm),theory(equality)],[c_5659,c_3783]) ).
tff(c_94089,plain,
! [B_573,A_574,B_2] : ( mult(rd(B_573,A_574),B_2) = ld(rd(A_574,B_573),B_2) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_93443]) ).
tff(c_784,plain,
! [A_5,B_6,C_47] : ( mult(rd(A_5,B_6),mult(B_6,mult(B_6,C_47))) = mult(mult(A_5,B_6),C_47) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_675]) ).
tff(c_12622,plain,
! [A_5,B_6,C_47] : ( mult(rd(A_5,B_6),ld(mult(B_6,B_6),C_47)) = mult(mult(A_5,B_6),C_47) ),
inference(demodulation,[status(thm),theory(equality)],[c_12616,c_784]) ).
tff(c_45307,plain,
! [A_5,B_6,C_47] : ( mult(rd(A_5,B_6),ld(B_6,ld(B_6,C_47))) = mult(mult(A_5,B_6),C_47) ),
inference(demodulation,[status(thm),theory(equality)],[c_19460,c_12622]) ).
tff(c_1415,plain,
! [A_59,C_60] : ( ld(mult(A_59,A_59),mult(A_59,mult(A_59,C_60))) = C_60 ),
inference(superposition,[status(thm),theory(equality)],[c_1324,c_4]) ).
tff(c_12838,plain,
! [A_172,C_173] : ( ld(mult(A_172,A_172),ld(mult(A_172,A_172),C_173)) = C_173 ),
inference(demodulation,[status(thm),theory(equality)],[c_12616,c_1415]) ).
tff(c_956,plain,
! [B_51,A_52] : ( ld(B_51,mult(mult(A_52,A_52),B_51)) = mult(A_52,A_52) ),
inference(superposition,[status(thm),theory(equality)],[c_323,c_4]) ).
tff(c_1017,plain,
! [A_52,B_2] : ( ld(ld(mult(A_52,A_52),B_2),B_2) = mult(A_52,A_52) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_956]) ).
tff(c_12847,plain,
! [C_173,A_172] : ( ld(C_173,ld(mult(A_172,A_172),C_173)) = mult(A_172,A_172) ),
inference(superposition,[status(thm),theory(equality)],[c_12838,c_1017]) ).
tff(c_26912,plain,
! [C_173,A_172] : ( ld(C_173,ld(A_172,ld(A_172,C_173))) = mult(A_172,A_172) ),
inference(demodulation,[status(thm),theory(equality)],[c_19460,c_12847]) ).
tff(c_9995,plain,
! [C_47,A_5] : ( mult(C_47,mult(C_47,mult(C_47,mult(rd(A_5,C_47),rd(A_5,C_47))))) = mult(rd(A_5,C_47),mult(mult(A_5,C_47),C_47)) ),
inference(superposition,[status(thm),theory(equality)],[c_784,c_9537]) ).
tff(c_10412,plain,
! [C_47,A_5] : ( mult(C_47,mult(C_47,mult(C_47,mult(rd(A_5,C_47),rd(A_5,C_47))))) = mult(rd(A_5,C_47),mult(A_5,mult(C_47,C_47))) ),
inference(demodulation,[status(thm),theory(equality)],[c_807,c_9995]) ).
tff(c_139490,plain,
! [C_697,A_698] : ( ld(C_697,ld(rd(C_697,A_698),rd(A_698,C_697))) = mult(mult(A_698,C_697),A_698) ),
inference(demodulation,[status(thm),theory(equality)],[c_94089,c_45307,c_26912,c_23745,c_22535,c_22535,c_10412]) ).
tff(c_140146,plain,
! [A_82,B_92] : ( ld(mult(A_82,B_92),ld(rd(mult(A_82,B_92),B_92),ld(A_82,unit))) = mult(mult(B_92,mult(A_82,B_92)),B_92) ),
inference(superposition,[status(thm),theory(equality)],[c_3825,c_139490]) ).
tff(c_141556,plain,
! [A_701,B_702] : ( ld(ld(rd(A_701,B_702),B_702),B_702) = ld(B_702,A_701) ),
inference(demodulation,[status(thm),theory(equality)],[c_8696,c_54283,c_10591,c_421,c_8,c_140146]) ).
tff(c_142375,plain,
! [B_6,A_5] : ( ld(ld(ld(B_6,ld(B_6,A_5)),B_6),B_6) = ld(B_6,rd(A_5,B_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_27434,c_141556]) ).
tff(c_142660,plain,
! [B_6,A_5] : ( mult(mult(B_6,A_5),B_6) = ld(B_6,rd(A_5,B_6)) ),
inference(demodulation,[status(thm),theory(equality)],[c_18235,c_72220,c_54730,c_142375]) ).
tff(c_20,plain,
mult(mult(a,b),a) != mult(a,mult(b,a)),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_18952,plain,
mult(mult(a,b),a) != ld(a,rd(b,a)),
inference(demodulation,[status(thm),theory(equality)],[c_10591,c_20]) ).
tff(c_145971,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142660,c_18952]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP707-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % 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
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu Aug 3 22:22:36 EDT 2023
% 0.11/0.31 % CPUTime :
% 37.94/27.19 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.94/27.22
% 37.94/27.22 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 38.26/27.26
% 38.26/27.26 Inference rules
% 38.26/27.26 ----------------------
% 38.26/27.26 #Ref : 0
% 38.26/27.26 #Sup : 35584
% 38.26/27.26 #Fact : 0
% 38.26/27.26 #Define : 0
% 38.26/27.26 #Split : 0
% 38.26/27.26 #Chain : 0
% 38.26/27.26 #Close : 0
% 38.26/27.26
% 38.26/27.26 Ordering : KBO
% 38.26/27.26
% 38.26/27.26 Simplification rules
% 38.26/27.26 ----------------------
% 38.26/27.26 #Subsume : 396
% 38.26/27.26 #Demod : 87305
% 38.26/27.26 #Tautology : 16053
% 38.26/27.26 #SimpNegUnit : 0
% 38.26/27.26 #BackRed : 110
% 38.26/27.26
% 38.26/27.26 #Partial instantiations: 0
% 38.26/27.26 #Strategies tried : 1
% 38.26/27.26
% 38.26/27.26 Timing (in seconds)
% 38.26/27.26 ----------------------
% 38.26/27.27 Preprocessing : 0.44
% 38.26/27.27 Parsing : 0.24
% 38.26/27.27 CNF conversion : 0.02
% 38.26/27.27 Main loop : 25.78
% 38.26/27.27 Inferencing : 2.88
% 38.26/27.27 Reduction : 18.15
% 38.26/27.27 Demodulation : 17.24
% 38.26/27.27 BG Simplification : 0.42
% 38.26/27.27 Subsumption : 2.89
% 38.26/27.27 Abstraction : 1.01
% 38.26/27.27 MUC search : 0.00
% 38.26/27.27 Cooper : 0.00
% 38.26/27.27 Total : 26.31
% 38.26/27.27 Index Insertion : 0.00
% 38.26/27.27 Index Deletion : 0.00
% 38.26/27.27 Index Matching : 0.00
% 38.26/27.27 BG Taut test : 0.00
%------------------------------------------------------------------------------