TSTP Solution File: GRP684-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP684-1 : 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 : n014.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 10:41:55 EDT 2023
% Result : Unsatisfiable 17.30s 7.60s
% Output : CNFRefutation 17.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 14
% Syntax : Number of formulae : 108 ( 102 unt; 6 typ; 0 def)
% Number of atoms : 102 ( 101 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 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 : 232 (; 232 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rd > mult > ld > #nlpp > c > 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(mult,type,
mult: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_25,axiom,
! [A] : ( ld(A,mult(A,A)) = A ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A,B] : ( mult(A,ld(A,B)) = ld(A,mult(A,B)) ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [A,B] : ( mult(rd(A,B),B) = rd(mult(A,B),B) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A] : ( rd(mult(A,A),A) = A ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [A,B] : ( ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [A,B,C,D] : ( rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [A,B,C,D] : ( ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D) ),
file(unknown,unknown) ).
tff(f_39,axiom,
rd(mult(a,mult(b,c)),mult(b,c)) != rd(mult(a,c),c),
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1] : ( ld(A_1,mult(A_1,A_1)) = A_1 ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_6,plain,
! [A_3,B_4] : ( mult(A_3,ld(A_3,B_4)) = ld(A_3,mult(A_3,B_4)) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_49,plain,
! [A_21,B_22] : ( rd(mult(A_21,B_22),B_22) = mult(rd(A_21,B_22),B_22) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_1651,plain,
! [A_80,B_81] : ( rd(ld(A_80,mult(A_80,B_81)),ld(A_80,B_81)) = mult(rd(A_80,ld(A_80,B_81)),ld(A_80,B_81)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_49]) ).
tff(c_1826,plain,
! [A_84] : ( mult(rd(A_84,ld(A_84,A_84)),ld(A_84,A_84)) = rd(A_84,ld(A_84,A_84)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1651]) ).
tff(c_4,plain,
! [A_2] : ( rd(mult(A_2,A_2),A_2) = A_2 ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_56,plain,
! [B_22] : ( mult(rd(B_22,B_22),B_22) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_49,c_4]) ).
tff(c_105,plain,
! [A_26,B_27] : ( rd(mult(rd(A_26,A_26),B_27),B_27) = ld(A_26,mult(A_26,ld(B_27,B_27))) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_121,plain,
! [B_22] : ( ld(B_22,mult(B_22,ld(B_22,B_22))) = rd(B_22,B_22) ),
inference(superposition,[status(thm),theory(equality)],[c_56,c_105]) ).
tff(c_136,plain,
! [B_22] : ( rd(B_22,B_22) = ld(B_22,B_22) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_121]) ).
tff(c_139,plain,
! [B_22] : ( mult(ld(B_22,B_22),B_22) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_56]) ).
tff(c_8,plain,
! [A_5,B_6] : ( rd(mult(A_5,B_6),B_6) = mult(rd(A_5,B_6),B_6) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_12,plain,
! [A_11,B_12,C_13,D_14] : ( rd(mult(mult(A_11,B_12),rd(C_13,D_14)),rd(C_13,D_14)) = mult(A_11,rd(mult(B_12,D_14),D_14)) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_511,plain,
! [A_47,B_48,C_49,D_50] : ( rd(mult(mult(A_47,B_48),rd(C_49,D_50)),rd(C_49,D_50)) = mult(A_47,mult(rd(B_48,D_50),D_50)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12]) ).
tff(c_571,plain,
! [A_47,B_48,A_2] : ( rd(mult(mult(A_47,B_48),A_2),rd(mult(A_2,A_2),A_2)) = mult(A_47,mult(rd(B_48,A_2),A_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_511]) ).
tff(c_592,plain,
! [A_51,B_52,A_53] : ( mult(rd(mult(A_51,B_52),A_53),A_53) = mult(A_51,mult(rd(B_52,A_53),A_53)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4,c_571]) ).
tff(c_641,plain,
! [A_5,B_6] : ( mult(mult(rd(A_5,B_6),B_6),B_6) = mult(A_5,mult(rd(B_6,B_6),B_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_592]) ).
tff(c_659,plain,
! [A_5,B_6] : ( mult(mult(rd(A_5,B_6),B_6),B_6) = mult(A_5,B_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_139,c_136,c_641]) ).
tff(c_1850,plain,
! [A_84] : ( mult(rd(A_84,ld(A_84,A_84)),ld(A_84,A_84)) = mult(A_84,ld(A_84,A_84)) ),
inference(superposition,[status(thm),theory(equality)],[c_1826,c_659]) ).
tff(c_1897,plain,
! [A_84] : ( mult(rd(A_84,ld(A_84,A_84)),ld(A_84,A_84)) = A_84 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_1850]) ).
tff(c_1735,plain,
! [A_1] : ( mult(rd(A_1,ld(A_1,A_1)),ld(A_1,A_1)) = rd(A_1,ld(A_1,A_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1651]) ).
tff(c_1908,plain,
! [A_1] : ( rd(A_1,ld(A_1,A_1)) = A_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_1897,c_1735]) ).
tff(c_202,plain,
! [A_33,B_34,C_35,D_36] : ( ld(ld(A_33,B_34),mult(ld(A_33,B_34),mult(C_35,D_36))) = mult(ld(A_33,mult(A_33,C_35)),D_36) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_256,plain,
! [A_1,C_35,D_36] : ( ld(A_1,mult(ld(A_1,mult(A_1,A_1)),mult(C_35,D_36))) = mult(ld(A_1,mult(A_1,C_35)),D_36) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_202]) ).
tff(c_327,plain,
! [A_39,C_40,D_41] : ( mult(ld(A_39,mult(A_39,C_40)),D_41) = ld(A_39,mult(A_39,mult(C_40,D_41))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_256]) ).
tff(c_406,plain,
! [A_1,D_41] : ( ld(A_1,mult(A_1,mult(A_1,D_41))) = mult(A_1,D_41) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_327]) ).
tff(c_125,plain,
! [A_26,B_6] : ( mult(rd(rd(A_26,A_26),B_6),B_6) = ld(A_26,mult(A_26,ld(B_6,B_6))) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_105]) ).
tff(c_175,plain,
! [A_26,B_6] : ( mult(rd(ld(A_26,A_26),B_6),B_6) = ld(A_26,mult(A_26,ld(B_6,B_6))) ),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_125]) ).
tff(c_2044,plain,
! [A_87] : ( mult(A_87,ld(A_87,A_87)) = A_87 ),
inference(demodulation,[status(thm),theory(equality)],[c_1908,c_1897]) ).
tff(c_590,plain,
! [A_47,B_48,A_2] : ( mult(rd(mult(A_47,B_48),A_2),A_2) = mult(A_47,mult(rd(B_48,A_2),A_2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4,c_571]) ).
tff(c_2073,plain,
! [A_87,A_2] : ( mult(A_87,mult(rd(ld(A_87,A_87),A_2),A_2)) = mult(rd(A_87,A_2),A_2) ),
inference(superposition,[status(thm),theory(equality)],[c_2044,c_590]) ).
tff(c_2118,plain,
! [A_87,A_2] : ( mult(rd(A_87,A_2),A_2) = mult(A_87,ld(A_2,A_2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_6,c_175,c_2073]) ).
tff(c_2131,plain,
! [A_5,B_6] : ( mult(mult(A_5,ld(B_6,B_6)),B_6) = mult(A_5,B_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_2118,c_659]) ).
tff(c_2298,plain,
! [A_92,B_93] : ( rd(mult(A_92,B_93),B_93) = mult(A_92,ld(B_93,B_93)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2118,c_8]) ).
tff(c_2304,plain,
! [A_92,B_93] : ( mult(mult(A_92,ld(B_93,B_93)),B_93) = mult(mult(A_92,B_93),ld(B_93,B_93)) ),
inference(superposition,[status(thm),theory(equality)],[c_2298,c_2118]) ).
tff(c_2352,plain,
! [A_92,B_93] : ( mult(mult(A_92,B_93),ld(B_93,B_93)) = mult(A_92,B_93) ),
inference(demodulation,[status(thm),theory(equality)],[c_2131,c_2304]) ).
tff(c_18,plain,
! [A_11,B_12,C_13,D_14] : ( rd(mult(mult(A_11,B_12),rd(C_13,D_14)),rd(C_13,D_14)) = mult(A_11,mult(rd(B_12,D_14),D_14)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12]) ).
tff(c_2076,plain,
! [A_87,C_13,D_14] : ( rd(mult(A_87,rd(C_13,D_14)),rd(C_13,D_14)) = mult(A_87,mult(rd(ld(A_87,A_87),D_14),D_14)) ),
inference(superposition,[status(thm),theory(equality)],[c_2044,c_18]) ).
tff(c_6599,plain,
! [A_155,C_156,D_157] : ( rd(mult(A_155,rd(C_156,D_157)),rd(C_156,D_157)) = mult(A_155,ld(D_157,D_157)) ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_6,c_175,c_2076]) ).
tff(c_6635,plain,
! [A_155,C_156,D_157] : ( mult(mult(A_155,rd(C_156,D_157)),ld(rd(C_156,D_157),rd(C_156,D_157))) = mult(mult(A_155,ld(D_157,D_157)),rd(C_156,D_157)) ),
inference(superposition,[status(thm),theory(equality)],[c_6599,c_2118]) ).
tff(c_6780,plain,
! [A_155,D_157,C_156] : ( mult(mult(A_155,ld(D_157,D_157)),rd(C_156,D_157)) = mult(A_155,rd(C_156,D_157)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2352,c_6635]) ).
tff(c_2135,plain,
! [A_5,B_6] : ( rd(mult(A_5,B_6),B_6) = mult(A_5,ld(B_6,B_6)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2118,c_8]) ).
tff(c_6632,plain,
! [A_155,C_156,D_157] : ( mult(A_155,ld(rd(C_156,D_157),rd(C_156,D_157))) = mult(A_155,ld(D_157,D_157)) ),
inference(superposition,[status(thm),theory(equality)],[c_6599,c_2135]) ).
tff(c_1992,plain,
! [A_84] : ( mult(A_84,ld(A_84,A_84)) = A_84 ),
inference(demodulation,[status(thm),theory(equality)],[c_1908,c_1897]) ).
tff(c_270,plain,
! [A_1,C_35,D_36] : ( mult(ld(A_1,mult(A_1,C_35)),D_36) = ld(A_1,mult(A_1,mult(C_35,D_36))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_256]) ).
tff(c_10,plain,
! [A_7,B_8,C_9,D_10] : ( ld(ld(A_7,B_8),mult(ld(A_7,B_8),mult(C_9,D_10))) = mult(ld(A_7,mult(A_7,C_9)),D_10) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_2363,plain,
! [A_94,B_95,C_96,D_97] : ( ld(ld(A_94,B_95),mult(ld(A_94,B_95),mult(C_96,D_97))) = ld(A_94,mult(A_94,mult(C_96,D_97))) ),
inference(demodulation,[status(thm),theory(equality)],[c_270,c_10]) ).
tff(c_2474,plain,
! [A_94,B_95,B_22] : ( ld(ld(A_94,B_95),mult(ld(A_94,B_95),B_22)) = ld(A_94,mult(A_94,mult(ld(B_22,B_22),B_22))) ),
inference(superposition,[status(thm),theory(equality)],[c_139,c_2363]) ).
tff(c_5020,plain,
! [A_135,B_136,B_137] : ( ld(ld(A_135,B_136),mult(ld(A_135,B_136),B_137)) = ld(A_135,mult(A_135,B_137)) ),
inference(demodulation,[status(thm),theory(equality)],[c_139,c_2474]) ).
tff(c_5156,plain,
! [A_1,D_41,B_137] : ( ld(ld(A_1,mult(A_1,mult(A_1,D_41))),mult(mult(A_1,D_41),B_137)) = ld(A_1,mult(A_1,B_137)) ),
inference(superposition,[status(thm),theory(equality)],[c_406,c_5020]) ).
tff(c_5214,plain,
! [A_1,D_41,B_137] : ( ld(mult(A_1,D_41),mult(mult(A_1,D_41),B_137)) = ld(A_1,mult(A_1,B_137)) ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_5156]) ).
tff(c_420,plain,
! [A_42,D_43] : ( ld(A_42,mult(A_42,mult(A_42,D_43))) = mult(A_42,D_43) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_327]) ).
tff(c_1564,plain,
! [A_77,D_78,D_79] : ( ld(A_77,mult(A_77,mult(mult(A_77,D_78),D_79))) = mult(mult(A_77,D_78),D_79) ),
inference(superposition,[status(thm),theory(equality)],[c_420,c_270]) ).
tff(c_1604,plain,
! [A_5,B_6] : ( ld(rd(A_5,B_6),mult(rd(A_5,B_6),mult(A_5,B_6))) = mult(mult(rd(A_5,B_6),B_6),B_6) ),
inference(superposition,[status(thm),theory(equality)],[c_659,c_1564]) ).
tff(c_1642,plain,
! [A_5,B_6] : ( ld(rd(A_5,B_6),mult(rd(A_5,B_6),mult(A_5,B_6))) = mult(A_5,B_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_659,c_1604]) ).
tff(c_7312,plain,
! [A_163,B_164] : ( ld(rd(A_163,B_164),mult(rd(A_163,B_164),mult(A_163,B_164))) = mult(A_163,B_164) ),
inference(demodulation,[status(thm),theory(equality)],[c_659,c_1604]) ).
tff(c_2516,plain,
! [A_94,B_95,B_22] : ( ld(ld(A_94,B_95),mult(ld(A_94,B_95),B_22)) = ld(A_94,mult(A_94,B_22)) ),
inference(demodulation,[status(thm),theory(equality)],[c_139,c_2474]) ).
tff(c_7336,plain,
! [A_163,B_164,B_22] : ( ld(ld(rd(A_163,B_164),mult(rd(A_163,B_164),mult(A_163,B_164))),mult(mult(A_163,B_164),B_22)) = ld(rd(A_163,B_164),mult(rd(A_163,B_164),B_22)) ),
inference(superposition,[status(thm),theory(equality)],[c_7312,c_2516]) ).
tff(c_11473,plain,
! [A_202,B_203,B_204] : ( ld(rd(A_202,B_203),mult(rd(A_202,B_203),B_204)) = ld(A_202,mult(A_202,B_204)) ),
inference(demodulation,[status(thm),theory(equality)],[c_5214,c_1642,c_7336]) ).
tff(c_11675,plain,
! [A_202,B_203] : ( ld(A_202,mult(A_202,ld(rd(A_202,B_203),rd(A_202,B_203)))) = ld(rd(A_202,B_203),rd(A_202,B_203)) ),
inference(superposition,[status(thm),theory(equality)],[c_1992,c_11473]) ).
tff(c_11775,plain,
! [A_202,B_203] : ( ld(rd(A_202,B_203),rd(A_202,B_203)) = ld(A_202,mult(A_202,ld(B_203,B_203))) ),
inference(demodulation,[status(thm),theory(equality)],[c_6632,c_11675]) ).
tff(c_23523,plain,
! [A_155,C_156,D_157] : ( mult(A_155,ld(C_156,mult(C_156,ld(D_157,D_157)))) = mult(A_155,ld(D_157,D_157)) ),
inference(demodulation,[status(thm),theory(equality)],[c_11775,c_6632]) ).
tff(c_14,plain,
! [A_15,B_16] : ( rd(mult(rd(A_15,A_15),B_16),B_16) = ld(A_15,mult(A_15,ld(B_16,B_16))) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_137,plain,
! [A_15,B_16] : ( rd(mult(ld(A_15,A_15),B_16),B_16) = ld(A_15,mult(A_15,ld(B_16,B_16))) ),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_14]) ).
tff(c_622,plain,
! [A_15,B_16] : ( mult(ld(A_15,mult(A_15,ld(B_16,B_16))),B_16) = mult(ld(A_15,A_15),mult(rd(B_16,B_16),B_16)) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_592]) ).
tff(c_655,plain,
! [A_15,B_16] : ( mult(ld(A_15,A_15),B_16) = ld(A_15,mult(A_15,B_16)) ),
inference(demodulation,[status(thm),theory(equality)],[c_139,c_270,c_139,c_136,c_622]) ).
tff(c_619,plain,
! [A_11,B_12,C_13,D_14] : ( mult(mult(A_11,B_12),mult(rd(rd(C_13,D_14),rd(C_13,D_14)),rd(C_13,D_14))) = mult(mult(A_11,mult(rd(B_12,D_14),D_14)),rd(C_13,D_14)) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_592]) ).
tff(c_654,plain,
! [A_11,B_12,D_14,C_13] : ( mult(mult(A_11,mult(rd(B_12,D_14),D_14)),rd(C_13,D_14)) = mult(mult(A_11,B_12),rd(C_13,D_14)) ),
inference(demodulation,[status(thm),theory(equality)],[c_139,c_136,c_619]) ).
tff(c_25526,plain,
! [A_293,B_294,D_295,C_296] : ( mult(mult(A_293,mult(B_294,ld(D_295,D_295))),rd(C_296,D_295)) = mult(mult(A_293,B_294),rd(C_296,D_295)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2118,c_654]) ).
tff(c_25882,plain,
! [A_293,A_15,D_295,C_296] : ( mult(mult(A_293,ld(A_15,mult(A_15,ld(D_295,D_295)))),rd(C_296,D_295)) = mult(mult(A_293,ld(A_15,A_15)),rd(C_296,D_295)) ),
inference(superposition,[status(thm),theory(equality)],[c_655,c_25526]) ).
tff(c_26847,plain,
! [A_304,A_305,C_306,D_307] : ( mult(mult(A_304,ld(A_305,A_305)),rd(C_306,D_307)) = mult(A_304,rd(C_306,D_307)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6780,c_23523,c_25882]) ).
tff(c_27158,plain,
! [A_304,A_305,A_1] : ( mult(mult(A_304,ld(A_305,A_305)),A_1) = mult(A_304,rd(A_1,ld(A_1,A_1))) ),
inference(superposition,[status(thm),theory(equality)],[c_1908,c_26847]) ).
tff(c_27285,plain,
! [A_304,A_305,A_1] : ( mult(mult(A_304,ld(A_305,A_305)),A_1) = mult(A_304,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_1908,c_27158]) ).
tff(c_27300,plain,
! [A_308,A_309,A_310] : ( mult(mult(A_308,ld(A_309,A_309)),A_310) = mult(A_308,A_310) ),
inference(demodulation,[status(thm),theory(equality)],[c_1908,c_27158]) ).
tff(c_6283,plain,
! [A_152,D_153,B_154] : ( ld(mult(A_152,D_153),mult(mult(A_152,D_153),B_154)) = ld(A_152,mult(A_152,B_154)) ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_5156]) ).
tff(c_6350,plain,
! [A_152,D_153,B_154] : ( ld(mult(A_152,D_153),mult(mult(A_152,D_153),mult(mult(A_152,D_153),B_154))) = mult(mult(A_152,D_153),ld(A_152,mult(A_152,B_154))) ),
inference(superposition,[status(thm),theory(equality)],[c_6283,c_6]) ).
tff(c_6548,plain,
! [A_152,D_153,B_154] : ( mult(mult(A_152,D_153),ld(A_152,mult(A_152,B_154))) = mult(mult(A_152,D_153),B_154) ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_6350]) ).
tff(c_27489,plain,
! [A_308,A_309,B_154] : ( mult(mult(A_308,ld(A_309,A_309)),B_154) = mult(A_308,ld(A_308,mult(A_308,B_154))) ),
inference(superposition,[status(thm),theory(equality)],[c_27300,c_6548]) ).
tff(c_27886,plain,
! [A_308,B_154] : ( mult(A_308,ld(A_308,mult(A_308,B_154))) = mult(A_308,B_154) ),
inference(demodulation,[status(thm),theory(equality)],[c_27285,c_27489]) ).
tff(c_724,plain,
! [A_56,B_57] : ( mult(ld(A_56,A_56),B_57) = ld(A_56,mult(A_56,B_57)) ),
inference(demodulation,[status(thm),theory(equality)],[c_139,c_270,c_139,c_136,c_622]) ).
tff(c_762,plain,
! [A_56] : ( ld(ld(A_56,A_56),ld(A_56,mult(A_56,ld(A_56,A_56)))) = ld(A_56,A_56) ),
inference(superposition,[status(thm),theory(equality)],[c_724,c_2]) ).
tff(c_786,plain,
! [A_56] : ( ld(ld(A_56,A_56),ld(A_56,A_56)) = ld(A_56,A_56) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_762]) ).
tff(c_2207,plain,
! [A_90,B_91] : ( mult(mult(A_90,ld(B_91,B_91)),B_91) = mult(A_90,B_91) ),
inference(demodulation,[status(thm),theory(equality)],[c_2118,c_659]) ).
tff(c_15451,plain,
! [A_232,A_233] : ( mult(mult(A_232,ld(A_233,A_233)),ld(A_233,A_233)) = mult(A_232,ld(A_233,A_233)) ),
inference(superposition,[status(thm),theory(equality)],[c_786,c_2207]) ).
tff(c_15613,plain,
! [A_232,A_233,D_36] : ( ld(mult(A_232,ld(A_233,A_233)),mult(mult(A_232,ld(A_233,A_233)),mult(ld(A_233,A_233),D_36))) = mult(ld(mult(A_232,ld(A_233,A_233)),mult(A_232,ld(A_233,A_233))),D_36) ),
inference(superposition,[status(thm),theory(equality)],[c_15451,c_270]) ).
tff(c_34115,plain,
! [A_343,A_344,D_345] : ( ld(A_343,mult(A_343,ld(A_344,mult(A_344,D_345)))) = ld(A_343,mult(A_343,D_345)) ),
inference(demodulation,[status(thm),theory(equality)],[c_5214,c_5214,c_655,c_655,c_15613]) ).
tff(c_34147,plain,
! [A_343,A_344,D_345] : ( mult(A_343,ld(A_344,mult(A_344,D_345))) = mult(A_343,ld(A_343,mult(A_343,D_345))) ),
inference(superposition,[status(thm),theory(equality)],[c_34115,c_27886]) ).
tff(c_34583,plain,
! [A_343,A_344,D_345] : ( mult(A_343,ld(A_344,mult(A_344,D_345))) = mult(A_343,D_345) ),
inference(demodulation,[status(thm),theory(equality)],[c_27886,c_34147]) ).
tff(c_6438,plain,
! [A_92,B_93] : ( ld(mult(A_92,B_93),mult(A_92,B_93)) = ld(A_92,mult(A_92,ld(B_93,B_93))) ),
inference(superposition,[status(thm),theory(equality)],[c_2352,c_6283]) ).
tff(c_16,plain,
rd(mult(a,mult(b,c)),mult(b,c)) != rd(mult(a,c),c),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_17,plain,
mult(rd(a,mult(b,c)),mult(b,c)) != mult(rd(a,c),c),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_8,c_16]) ).
tff(c_2134,plain,
mult(a,ld(mult(b,c),mult(b,c))) != mult(a,ld(c,c)),
inference(demodulation,[status(thm),theory(equality)],[c_2118,c_2118,c_17]) ).
tff(c_38156,plain,
mult(a,ld(b,mult(b,ld(c,c)))) != mult(a,ld(c,c)),
inference(demodulation,[status(thm),theory(equality)],[c_6438,c_2134]) ).
tff(c_38164,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34583,c_38156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP684-1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % 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
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 3 21:56:33 EDT 2023
% 0.13/0.33 % CPUTime :
% 17.30/7.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.30/7.62
% 17.30/7.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.59/7.67
% 17.59/7.67 Inference rules
% 17.59/7.67 ----------------------
% 17.59/7.67 #Ref : 0
% 17.59/7.67 #Sup : 9086
% 17.59/7.67 #Fact : 0
% 17.59/7.67 #Define : 0
% 17.59/7.67 #Split : 0
% 17.59/7.67 #Chain : 0
% 17.59/7.67 #Close : 0
% 17.59/7.67
% 17.59/7.67 Ordering : KBO
% 17.59/7.67
% 17.59/7.67 Simplification rules
% 17.59/7.67 ----------------------
% 17.59/7.67 #Subsume : 0
% 17.59/7.67 #Demod : 24855
% 17.59/7.67 #Tautology : 4635
% 17.59/7.67 #SimpNegUnit : 0
% 17.59/7.67 #BackRed : 33
% 17.59/7.67
% 17.59/7.67 #Partial instantiations: 0
% 17.59/7.67 #Strategies tried : 1
% 17.59/7.67
% 17.59/7.67 Timing (in seconds)
% 17.59/7.67 ----------------------
% 17.59/7.68 Preprocessing : 0.44
% 17.59/7.68 Parsing : 0.23
% 17.59/7.68 CNF conversion : 0.02
% 17.59/7.68 Main loop : 6.16
% 17.59/7.68 Inferencing : 1.30
% 17.59/7.68 Reduction : 3.96
% 17.59/7.68 Demodulation : 3.68
% 17.59/7.68 BG Simplification : 0.16
% 17.59/7.68 Subsumption : 0.53
% 17.59/7.68 Abstraction : 0.42
% 17.59/7.68 MUC search : 0.00
% 17.59/7.68 Cooper : 0.00
% 17.59/7.68 Total : 6.68
% 17.59/7.68 Index Insertion : 0.00
% 17.59/7.68 Index Deletion : 0.00
% 17.59/7.68 Index Matching : 0.00
% 17.59/7.68 BG Taut test : 0.00
%------------------------------------------------------------------------------