TSTP Solution File: GRP731-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP731-1 : 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 : n005.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 10:42:02 EDT 2023
% Result : Unsatisfiable 160.35s 117.53s
% Output : CNFRefutation 160.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 29
% Syntax : Number of formulae : 136 ( 123 unt; 13 typ; 0 def)
% Number of atoms : 123 ( 122 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 18 ( 8 >; 10 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 302 (; 302 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op_r > op_l > asoc > rd > op_t > op_k > mult > #nlpp > i > unit > d > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(op_r,type,
op_r: ( $i * $i * $i ) > $i ).
tff(rd,type,
rd: ( $i * $i ) > $i ).
tff(a,type,
a: $i ).
tff(i,type,
i: $i > $i ).
tff(b,type,
b: $i ).
tff(op_t,type,
op_t: ( $i * $i ) > $i ).
tff(op_l,type,
op_l: ( $i * $i * $i ) > $i ).
tff(d,type,
d: $i ).
tff(unit,type,
unit: $i ).
tff(op_k,type,
op_k: ( $i * $i ) > $i ).
tff(asoc,type,
asoc: ( $i * $i * $i ) > $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_28,axiom,
! [A] : ( mult(A,i(A)) = unit ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [A] : ( mult(i(A),A) = unit ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [A,B] : ( rd(mult(A,B),B) = A ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [A,B] : ( op_t(A,B) = mult(i(B),mult(A,B)) ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [A] : ( mult(A,unit) = A ),
file(unknown,unknown) ).
tff(f_64,axiom,
! [A,B,C,E,D] : ( asoc(asoc(A,B,C),D,E) = unit ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [A,B,C] : ( mult(mult(A,B),C) = mult(mult(A,mult(B,C)),asoc(A,B,C)) ),
file(unknown,unknown) ).
tff(f_48,axiom,
! [A,B,C] : ( op_r(A,B,C) = rd(mult(mult(A,B),C),mult(B,C)) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [A,B] : ( mult(rd(A,B),B) = A ),
file(unknown,unknown) ).
tff(f_32,axiom,
! [A,B] : ( i(mult(A,B)) = mult(i(A),i(B)) ),
file(unknown,unknown) ).
tff(f_34,axiom,
! [A,B] : ( mult(i(A),mult(A,B)) = B ),
file(unknown,unknown) ).
tff(f_44,axiom,
! [A,B] : ( mult(A,B) = mult(mult(B,A),op_k(A,B)) ),
file(unknown,unknown) ).
tff(f_46,axiom,
! [A,B,C] : ( op_l(A,B,C) = mult(i(mult(C,B)),mult(C,mult(B,A))) ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [A,B,C,E,D] : ( asoc(A,B,asoc(C,D,E)) = unit ),
file(unknown,unknown) ).
tff(f_24,axiom,
! [A] : ( mult(unit,A) = A ),
file(unknown,unknown) ).
tff(f_68,axiom,
op_k(asoc(a,b,c),d) != unit,
file(unknown,unknown) ).
tff(c_6,plain,
! [A_3] : ( mult(A_3,i(A_3)) = unit ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_8,plain,
! [A_4] : ( mult(i(A_4),A_4) = unit ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_120,plain,
! [A_69,B_70] : ( rd(mult(A_69,B_70),B_70) = A_69 ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_229,plain,
! [A_76] : ( rd(unit,A_76) = i(A_76) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_120]) ).
tff(c_129,plain,
! [A_3] : ( rd(unit,i(A_3)) = A_3 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_120]) ).
tff(c_235,plain,
! [A_3] : ( i(i(A_3)) = A_3 ),
inference(superposition,[status(thm),theory(equality)],[c_229,c_129]) ).
tff(c_1098,plain,
! [B_114,A_115] : ( mult(i(B_114),mult(A_115,B_114)) = op_t(A_115,B_114) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_1168,plain,
! [A_3,A_115] : ( mult(A_3,mult(A_115,i(A_3))) = op_t(A_115,i(A_3)) ),
inference(superposition,[status(thm),theory(equality)],[c_235,c_1098]) ).
tff(c_14,plain,
! [A_9,B_10] : ( rd(mult(A_9,B_10),B_10) = A_9 ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_4,plain,
! [A_2] : ( mult(A_2,unit) = A_2 ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_42,plain,
! [B_56,D_59,C_57,E_58,A_55] : ( asoc(asoc(A_55,B_56,C_57),D_59,E_58) = unit ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_2867,plain,
! [A_179,B_180,C_181] : ( mult(mult(A_179,mult(B_180,C_181)),asoc(A_179,B_180,C_181)) = mult(mult(A_179,B_180),C_181) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_2975,plain,
! [B_56,D_59,C_57,E_58,A_55] : ( mult(mult(asoc(A_55,B_56,C_57),mult(D_59,E_58)),unit) = mult(mult(asoc(A_55,B_56,C_57),D_59),E_58) ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_2867]) ).
tff(c_46786,plain,
! [E_559,D_562,C_563,A_561,B_560] : ( mult(mult(asoc(A_561,B_560,C_563),D_562),E_559) = mult(asoc(A_561,B_560,C_563),mult(D_562,E_559)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2975]) ).
tff(c_26,plain,
! [A_24,B_25,C_26] : ( rd(mult(mult(A_24,B_25),C_26),mult(B_25,C_26)) = op_r(A_24,B_25,C_26) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_47281,plain,
! [E_559,D_562,C_563,A_561,B_560] : ( rd(mult(asoc(A_561,B_560,C_563),mult(D_562,E_559)),mult(D_562,E_559)) = op_r(asoc(A_561,B_560,C_563),D_562,E_559) ),
inference(superposition,[status(thm),theory(equality)],[c_46786,c_26]) ).
tff(c_47576,plain,
! [E_559,D_562,C_563,A_561,B_560] : ( op_r(asoc(A_561,B_560,C_563),D_562,E_559) = asoc(A_561,B_560,C_563) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_47281]) ).
tff(c_16,plain,
! [A_11,B_12] : ( mult(rd(A_11,B_12),B_12) = A_11 ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_726,plain,
! [A_104,B_105] : ( mult(i(A_104),i(B_105)) = i(mult(A_104,B_105)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_302,plain,
! [A_78,B_79] : ( mult(i(A_78),mult(A_78,B_79)) = B_79 ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_311,plain,
! [B_79,A_78] : ( rd(B_79,mult(A_78,B_79)) = i(A_78) ),
inference(superposition,[status(thm),theory(equality)],[c_302,c_14]) ).
tff(c_738,plain,
! [B_105,A_104] : ( rd(i(B_105),i(mult(A_104,B_105))) = i(i(A_104)) ),
inference(superposition,[status(thm),theory(equality)],[c_726,c_311]) ).
tff(c_793,plain,
! [B_106,A_107] : ( rd(i(B_106),i(mult(A_107,B_106))) = A_107 ),
inference(demodulation,[status(thm),theory(equality)],[c_235,c_738]) ).
tff(c_3905,plain,
! [A_203,A_204] : ( rd(A_203,i(mult(A_204,i(A_203)))) = A_204 ),
inference(superposition,[status(thm),theory(equality)],[c_235,c_793]) ).
tff(c_3965,plain,
! [A_203,A_11] : ( rd(A_203,i(A_11)) = rd(A_11,i(A_203)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_3905]) ).
tff(c_138,plain,
! [A_2] : ( rd(A_2,unit) = A_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_120]) ).
tff(c_2991,plain,
! [A_179,A_3] : ( mult(mult(A_179,unit),asoc(A_179,A_3,i(A_3))) = mult(mult(A_179,A_3),i(A_3)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_2867]) ).
tff(c_11097,plain,
! [A_289,A_290] : ( mult(mult(A_289,A_290),i(A_290)) = mult(A_289,asoc(A_289,A_290,i(A_290))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2991]) ).
tff(c_11239,plain,
! [A_289,A_290] : ( rd(mult(A_289,asoc(A_289,A_290,i(A_290))),mult(A_290,i(A_290))) = op_r(A_289,A_290,i(A_290)) ),
inference(superposition,[status(thm),theory(equality)],[c_11097,c_26]) ).
tff(c_11423,plain,
! [A_289,A_290] : ( mult(A_289,asoc(A_289,A_290,i(A_290))) = op_r(A_289,A_290,i(A_290)) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_6,c_11239]) ).
tff(c_11292,plain,
! [A_289,A_290] : ( rd(mult(A_289,asoc(A_289,A_290,i(A_290))),i(A_290)) = mult(A_289,A_290) ),
inference(superposition,[status(thm),theory(equality)],[c_11097,c_14]) ).
tff(c_387487,plain,
! [A_1786,A_1787] : ( rd(A_1786,i(op_r(A_1787,A_1786,i(A_1786)))) = mult(A_1787,A_1786) ),
inference(demodulation,[status(thm),theory(equality)],[c_3965,c_11423,c_11292]) ).
tff(c_399532,plain,
! [A_1821,A_1822] : ( mult(mult(A_1821,A_1822),i(op_r(A_1821,A_1822,i(A_1822)))) = A_1822 ),
inference(superposition,[status(thm),theory(equality)],[c_387487,c_16]) ).
tff(c_3019,plain,
! [B_56,D_59,C_57,E_58,A_55] : ( mult(mult(asoc(A_55,B_56,C_57),D_59),E_58) = mult(asoc(A_55,B_56,C_57),mult(D_59,E_58)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2975]) ).
tff(c_400106,plain,
! [A_55,B_56,C_57,A_1822] : ( mult(asoc(A_55,B_56,C_57),mult(A_1822,i(op_r(asoc(A_55,B_56,C_57),A_1822,i(A_1822))))) = A_1822 ),
inference(superposition,[status(thm),theory(equality)],[c_399532,c_3019]) ).
tff(c_401137,plain,
! [A_1823,A_1824,B_1825,C_1826] : ( op_t(A_1823,i(asoc(A_1824,B_1825,C_1826))) = A_1823 ),
inference(demodulation,[status(thm),theory(equality)],[c_1168,c_47576,c_400106]) ).
tff(c_28,plain,
! [B_28,A_27] : ( mult(i(B_28),mult(A_27,B_28)) = op_t(A_27,B_28) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_767,plain,
! [A_104,A_3] : ( i(mult(A_104,i(A_3))) = mult(i(A_104),A_3) ),
inference(superposition,[status(thm),theory(equality)],[c_235,c_726]) ).
tff(c_4940,plain,
! [A_219,B_220] : ( rd(i(mult(A_219,B_220)),i(B_220)) = i(A_219) ),
inference(superposition,[status(thm),theory(equality)],[c_726,c_14]) ).
tff(c_5024,plain,
! [A_27,B_28] : ( rd(i(op_t(A_27,B_28)),i(mult(A_27,B_28))) = i(i(B_28)) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_4940]) ).
tff(c_13128,plain,
! [A_309,B_310] : ( rd(i(op_t(A_309,B_310)),i(mult(A_309,B_310))) = B_310 ),
inference(demodulation,[status(thm),theory(equality)],[c_235,c_5024]) ).
tff(c_14229,plain,
! [B_319,A_320] : ( mult(B_319,i(mult(A_320,B_319))) = i(op_t(A_320,B_319)) ),
inference(superposition,[status(thm),theory(equality)],[c_13128,c_16]) ).
tff(c_14422,plain,
! [A_3,A_104] : ( mult(i(A_3),mult(i(A_104),A_3)) = i(op_t(A_104,i(A_3))) ),
inference(superposition,[status(thm),theory(equality)],[c_767,c_14229]) ).
tff(c_15411,plain,
! [A_329,A_330] : ( i(op_t(A_329,i(A_330))) = op_t(i(A_329),A_330) ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_14422]) ).
tff(c_15604,plain,
! [A_329,A_330] : ( rd(unit,op_t(i(A_329),A_330)) = op_t(A_329,i(A_330)) ),
inference(superposition,[status(thm),theory(equality)],[c_15411,c_129]) ).
tff(c_401571,plain,
! [A_329,A_1824,B_1825,C_1826] : ( op_t(A_329,i(i(asoc(A_1824,B_1825,C_1826)))) = rd(unit,i(A_329)) ),
inference(superposition,[status(thm),theory(equality)],[c_401137,c_15604]) ).
tff(c_402941,plain,
! [A_1831,A_1832,B_1833,C_1834] : ( op_t(A_1831,asoc(A_1832,B_1833,C_1834)) = A_1831 ),
inference(demodulation,[status(thm),theory(equality)],[c_235,c_129,c_401571]) ).
tff(c_1230,plain,
! [B_118,A_119] : ( mult(mult(B_118,A_119),op_k(A_119,B_118)) = mult(A_119,B_118) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_12,plain,
! [A_7,B_8] : ( mult(i(A_7),mult(A_7,B_8)) = B_8 ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_1251,plain,
! [B_118,A_119] : ( mult(i(mult(B_118,A_119)),mult(A_119,B_118)) = op_k(A_119,B_118) ),
inference(superposition,[status(thm),theory(equality)],[c_1230,c_12]) ).
tff(c_132,plain,
! [A_4] : ( rd(unit,A_4) = i(A_4) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_120]) ).
tff(c_10,plain,
! [A_5,B_6] : ( mult(i(A_5),i(B_6)) = i(mult(A_5,B_6)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_764,plain,
! [A_3,B_105] : ( i(mult(i(A_3),B_105)) = mult(A_3,i(B_105)) ),
inference(superposition,[status(thm),theory(equality)],[c_235,c_726]) ).
tff(c_2561,plain,
! [C_172,B_173,A_174] : ( mult(i(mult(C_172,B_173)),mult(C_172,mult(B_173,A_174))) = op_l(A_174,B_173,C_172) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_2716,plain,
! [A_174,B_173] : ( op_l(A_174,B_173,i(mult(B_173,A_174))) = mult(i(mult(i(mult(B_173,A_174)),B_173)),unit) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_2561]) ).
tff(c_45593,plain,
! [A_174,B_173] : ( op_l(A_174,B_173,i(mult(B_173,A_174))) = mult(mult(B_173,A_174),i(B_173)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_764,c_2716]) ).
tff(c_24,plain,
! [C_23,B_22,A_21] : ( mult(i(mult(C_23,B_22)),mult(C_23,mult(B_22,A_21))) = op_l(A_21,B_22,C_23) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_44,plain,
! [A_60,C_62,D_64,B_61,E_63] : ( asoc(A_60,B_61,asoc(C_62,D_64,E_63)) = unit ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_20,plain,
! [A_16,B_17,C_18] : ( mult(mult(A_16,mult(B_17,C_18)),asoc(A_16,B_17,C_18)) = mult(mult(A_16,B_17),C_18) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_2919,plain,
! [A_179,A_16,B_17,C_18] : ( mult(mult(A_179,mult(mult(A_16,B_17),C_18)),asoc(A_179,mult(A_16,mult(B_17,C_18)),asoc(A_16,B_17,C_18))) = mult(mult(A_179,mult(A_16,mult(B_17,C_18))),asoc(A_16,B_17,C_18)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_2867]) ).
tff(c_86295,plain,
! [A_759,A_760,B_761,C_762] : ( mult(mult(A_759,mult(A_760,mult(B_761,C_762))),asoc(A_760,B_761,C_762)) = mult(A_759,mult(mult(A_760,B_761),C_762)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44,c_2919]) ).
tff(c_87114,plain,
! [A_21,B_22,C_23] : ( mult(op_l(A_21,B_22,C_23),asoc(C_23,B_22,A_21)) = mult(i(mult(C_23,B_22)),mult(mult(C_23,B_22),A_21)) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_86295]) ).
tff(c_87332,plain,
! [A_21,B_22,C_23] : ( mult(op_l(A_21,B_22,C_23),asoc(C_23,B_22,A_21)) = A_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_87114]) ).
tff(c_2963,plain,
! [A_60,C_62,D_64,B_61,E_63] : ( mult(mult(A_60,mult(B_61,asoc(C_62,D_64,E_63))),unit) = mult(mult(A_60,B_61),asoc(C_62,D_64,E_63)) ),
inference(superposition,[status(thm),theory(equality)],[c_44,c_2867]) ).
tff(c_3016,plain,
! [A_60,C_62,D_64,B_61,E_63] : ( mult(mult(A_60,B_61),asoc(C_62,D_64,E_63)) = mult(A_60,mult(B_61,asoc(C_62,D_64,E_63))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2963]) ).
tff(c_87351,plain,
! [A_763,B_764,C_765] : ( mult(op_l(A_763,B_764,C_765),asoc(C_765,B_764,A_763)) = A_763 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_87114]) ).
tff(c_90847,plain,
! [A_795,B_796,C_797] : ( mult(i(op_l(A_795,B_796,C_797)),A_795) = asoc(C_797,B_796,A_795) ),
inference(superposition,[status(thm),theory(equality)],[c_87351,c_12]) ).
tff(c_91248,plain,
! [A_795,B_796,C_797] : ( mult(i(mult(A_795,i(op_l(A_795,B_796,C_797)))),asoc(C_797,B_796,A_795)) = op_k(i(op_l(A_795,B_796,C_797)),A_795) ),
inference(superposition,[status(thm),theory(equality)],[c_90847,c_1251]) ).
tff(c_91528,plain,
! [A_798,B_799,C_800] : ( op_k(i(op_l(A_798,B_799,C_800)),A_798) = unit ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_87332,c_3016,c_767,c_91248]) ).
tff(c_91632,plain,
! [B_173,A_174] : ( op_k(i(mult(mult(B_173,A_174),i(B_173))),A_174) = unit ),
inference(superposition,[status(thm),theory(equality)],[c_45593,c_91528]) ).
tff(c_92904,plain,
! [B_810,A_811] : ( op_k(mult(i(mult(B_810,A_811)),B_810),A_811) = unit ),
inference(demodulation,[status(thm),theory(equality)],[c_767,c_91632]) ).
tff(c_93214,plain,
! [B_8,A_7] : ( op_k(mult(i(B_8),i(A_7)),mult(A_7,B_8)) = unit ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_92904]) ).
tff(c_94966,plain,
! [B_825,A_826] : ( op_k(i(mult(B_825,A_826)),mult(A_826,B_825)) = unit ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_93214]) ).
tff(c_1248,plain,
! [A_119,B_118] : ( rd(op_k(A_119,B_118),mult(A_119,B_118)) = i(mult(B_118,A_119)) ),
inference(superposition,[status(thm),theory(equality)],[c_1230,c_311]) ).
tff(c_94980,plain,
! [B_825,A_826] : ( rd(unit,mult(i(mult(B_825,A_826)),mult(A_826,B_825))) = i(mult(mult(A_826,B_825),i(mult(B_825,A_826)))) ),
inference(superposition,[status(thm),theory(equality)],[c_94966,c_1248]) ).
tff(c_95524,plain,
! [A_826,B_825] : ( i(op_k(A_826,B_825)) = op_k(B_825,A_826) ),
inference(demodulation,[status(thm),theory(equality)],[c_1251,c_132,c_1251,c_767,c_94980]) ).
tff(c_1126,plain,
! [B_114,A_115] : ( mult(i(i(B_114)),op_t(A_115,B_114)) = mult(A_115,B_114) ),
inference(superposition,[status(thm),theory(equality)],[c_1098,c_12]) ).
tff(c_1190,plain,
! [B_114,A_115] : ( mult(B_114,op_t(A_115,B_114)) = mult(A_115,B_114) ),
inference(demodulation,[status(thm),theory(equality)],[c_235,c_1126]) ).
tff(c_2,plain,
! [A_1] : ( mult(unit,A_1) = A_1 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_2998,plain,
! [B_180,C_181] : ( mult(mult(i(mult(B_180,C_181)),B_180),C_181) = mult(unit,asoc(i(mult(B_180,C_181)),B_180,C_181)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_2867]) ).
tff(c_35684,plain,
! [B_483,C_484] : ( mult(mult(i(mult(B_483,C_484)),B_483),C_484) = asoc(i(mult(B_483,C_484)),B_483,C_484) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2998]) ).
tff(c_36111,plain,
! [A_7,B_8] : ( asoc(i(mult(i(A_7),mult(A_7,B_8))),i(A_7),mult(A_7,B_8)) = mult(mult(i(B_8),i(A_7)),mult(A_7,B_8)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_35684]) ).
tff(c_212540,plain,
! [B_1217,A_1218] : ( asoc(i(B_1217),i(A_1218),mult(A_1218,B_1217)) = op_k(A_1218,B_1217) ),
inference(demodulation,[status(thm),theory(equality)],[c_1251,c_10,c_12,c_36111]) ).
tff(c_41095,plain,
! [D_521,A_523,B_522,C_520,E_524] : ( mult(mult(A_523,B_522),asoc(C_520,D_521,E_524)) = mult(A_523,mult(B_522,asoc(C_520,D_521,E_524))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2963]) ).
tff(c_41302,plain,
! [D_521,A_523,B_522,C_520,E_524] : ( rd(mult(A_523,mult(B_522,asoc(C_520,D_521,E_524))),mult(B_522,asoc(C_520,D_521,E_524))) = op_r(A_523,B_522,asoc(C_520,D_521,E_524)) ),
inference(superposition,[status(thm),theory(equality)],[c_41095,c_26]) ).
tff(c_41586,plain,
! [D_521,A_523,B_522,C_520,E_524] : ( op_r(A_523,B_522,asoc(C_520,D_521,E_524)) = A_523 ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_41302]) ).
tff(c_212649,plain,
! [A_523,B_522,A_1218,B_1217] : ( op_r(A_523,B_522,op_k(A_1218,B_1217)) = A_523 ),
inference(superposition,[status(thm),theory(equality)],[c_212540,c_41586]) ).
tff(c_22,plain,
! [B_20,A_19] : ( mult(mult(B_20,A_19),op_k(A_19,B_20)) = mult(A_19,B_20) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_1714,plain,
! [A_138,B_139,C_140] : ( rd(mult(mult(A_138,B_139),C_140),mult(B_139,C_140)) = op_r(A_138,B_139,C_140) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_1741,plain,
! [A_19,B_20] : ( rd(mult(A_19,B_20),mult(A_19,op_k(A_19,B_20))) = op_r(B_20,A_19,op_k(A_19,B_20)) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_1714]) ).
tff(c_239960,plain,
! [A_1315,B_1316] : ( rd(mult(A_1315,B_1316),mult(A_1315,op_k(A_1315,B_1316))) = B_1316 ),
inference(demodulation,[status(thm),theory(equality)],[c_212649,c_1741]) ).
tff(c_240134,plain,
! [B_1316,A_1315] : ( mult(B_1316,mult(A_1315,op_k(A_1315,B_1316))) = mult(A_1315,B_1316) ),
inference(superposition,[status(thm),theory(equality)],[c_239960,c_16]) ).
tff(c_242574,plain,
! [B_1321,A_1322] : ( mult(B_1321,mult(A_1322,op_k(A_1322,B_1321))) = mult(A_1322,B_1321) ),
inference(superposition,[status(thm),theory(equality)],[c_239960,c_16]) ).
tff(c_1123,plain,
! [A_115,B_114] : ( rd(mult(A_115,B_114),op_t(A_115,B_114)) = i(i(B_114)) ),
inference(superposition,[status(thm),theory(equality)],[c_1098,c_311]) ).
tff(c_3708,plain,
! [A_199,B_200] : ( rd(mult(A_199,B_200),op_t(A_199,B_200)) = B_200 ),
inference(demodulation,[status(thm),theory(equality)],[c_235,c_1123]) ).
tff(c_110752,plain,
! [B_897,A_898] : ( rd(B_897,op_t(i(A_898),mult(A_898,B_897))) = mult(A_898,B_897) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_3708]) ).
tff(c_110996,plain,
! [A_898,B_897] : ( mult(mult(A_898,B_897),op_t(i(A_898),mult(A_898,B_897))) = B_897 ),
inference(superposition,[status(thm),theory(equality)],[c_110752,c_16]) ).
tff(c_242989,plain,
! [A_1322,B_1321] : ( mult(mult(A_1322,B_1321),op_t(i(B_1321),mult(B_1321,mult(A_1322,op_k(A_1322,B_1321))))) = mult(A_1322,op_k(A_1322,B_1321)) ),
inference(superposition,[status(thm),theory(equality)],[c_242574,c_110996]) ).
tff(c_244283,plain,
! [A_1323,B_1324] : ( mult(A_1323,op_k(A_1323,B_1324)) = op_t(A_1323,B_1324) ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_1190,c_240134,c_242989]) ).
tff(c_741,plain,
! [A_104,B_105] : ( mult(i(i(A_104)),i(mult(A_104,B_105))) = i(B_105) ),
inference(superposition,[status(thm),theory(equality)],[c_726,c_12]) ).
tff(c_784,plain,
! [A_104,B_105] : ( mult(A_104,i(mult(A_104,B_105))) = i(B_105) ),
inference(demodulation,[status(thm),theory(equality)],[c_235,c_741]) ).
tff(c_245040,plain,
! [A_1323,B_1324] : ( mult(A_1323,i(op_t(A_1323,B_1324))) = i(op_k(A_1323,B_1324)) ),
inference(superposition,[status(thm),theory(equality)],[c_244283,c_784]) ).
tff(c_245629,plain,
! [A_1323,B_1324] : ( mult(A_1323,i(op_t(A_1323,B_1324))) = op_k(B_1324,A_1323) ),
inference(demodulation,[status(thm),theory(equality)],[c_95524,c_245040]) ).
tff(c_403026,plain,
! [A_1832,B_1833,C_1834,A_1831] : ( op_k(asoc(A_1832,B_1833,C_1834),A_1831) = mult(A_1831,i(A_1831)) ),
inference(superposition,[status(thm),theory(equality)],[c_402941,c_245629]) ).
tff(c_403727,plain,
! [A_1832,B_1833,C_1834,A_1831] : ( op_k(asoc(A_1832,B_1833,C_1834),A_1831) = unit ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_403026]) ).
tff(c_46,plain,
op_k(asoc(a,b,c),d) != unit,
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_405937,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_403727,c_46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP731-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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
% 0.18/0.35 % Computer : n005.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 3 21:57:56 EDT 2023
% 0.18/0.36 % CPUTime :
% 160.35/117.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 160.35/117.55
% 160.35/117.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 160.53/117.59
% 160.53/117.59 Inference rules
% 160.53/117.59 ----------------------
% 160.53/117.59 #Ref : 0
% 160.53/117.59 #Sup : 106458
% 160.53/117.59 #Fact : 0
% 160.53/117.59 #Define : 0
% 160.53/117.59 #Split : 0
% 160.53/117.59 #Chain : 0
% 160.53/117.59 #Close : 0
% 160.53/117.59
% 160.53/117.59 Ordering : KBO
% 160.53/117.59
% 160.53/117.59 Simplification rules
% 160.53/117.59 ----------------------
% 160.53/117.59 #Subsume : 631
% 160.53/117.59 #Demod : 157767
% 160.53/117.59 #Tautology : 44804
% 160.53/117.59 #SimpNegUnit : 0
% 160.53/117.59 #BackRed : 64
% 160.53/117.59
% 160.53/117.59 #Partial instantiations: 0
% 160.53/117.59 #Strategies tried : 1
% 160.53/117.59
% 160.53/117.59 Timing (in seconds)
% 160.53/117.59 ----------------------
% 160.53/117.59 Preprocessing : 0.51
% 160.53/117.59 Parsing : 0.27
% 160.53/117.59 CNF conversion : 0.03
% 160.53/117.59 Main loop : 115.90
% 160.53/117.59 Inferencing : 8.14
% 160.53/117.59 Reduction : 77.88
% 160.53/117.59 Demodulation : 73.25
% 160.53/117.59 BG Simplification : 1.33
% 160.53/117.59 Subsumption : 20.03
% 160.53/117.59 Abstraction : 2.85
% 160.53/117.59 MUC search : 0.00
% 160.53/117.59 Cooper : 0.00
% 160.53/117.60 Total : 116.49
% 160.53/117.60 Index Insertion : 0.00
% 160.53/117.60 Index Deletion : 0.00
% 160.53/117.60 Index Matching : 0.00
% 160.53/117.60 BG Taut test : 0.00
%------------------------------------------------------------------------------