TSTP Solution File: TOP050-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP050-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 : Fri Sep 1 05:54:15 EDT 2023
% Result : Unsatisfiable 2.84s 2.90s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 69
% Syntax : Number of formulae : 287 ( 253 unt; 34 typ; 0 def)
% Number of atoms : 253 ( 252 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 20 ( 20 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 33 ( 2 >; 31 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 32 con; 0-31 aty)
% Number of variables : 61 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
product: ( $i * $i ) > $i ).
tff(decl_23,type,
a1: $i ).
tff(decl_24,type,
a31: $i ).
tff(decl_25,type,
a2: $i ).
tff(decl_26,type,
a25: $i ).
tff(decl_27,type,
a3: $i ).
tff(decl_28,type,
a29: $i ).
tff(decl_29,type,
a4: $i ).
tff(decl_30,type,
a11: $i ).
tff(decl_31,type,
a5: $i ).
tff(decl_32,type,
a15: $i ).
tff(decl_33,type,
a6: $i ).
tff(decl_34,type,
a7: $i ).
tff(decl_35,type,
a19: $i ).
tff(decl_36,type,
a8: $i ).
tff(decl_37,type,
a9: $i ).
tff(decl_38,type,
a17: $i ).
tff(decl_39,type,
a10: $i ).
tff(decl_40,type,
a12: $i ).
tff(decl_41,type,
a13: $i ).
tff(decl_42,type,
a14: $i ).
tff(decl_43,type,
a16: $i ).
tff(decl_44,type,
a18: $i ).
tff(decl_45,type,
a20: $i ).
tff(decl_46,type,
a21: $i ).
tff(decl_47,type,
a22: $i ).
tff(decl_48,type,
a23: $i ).
tff(decl_49,type,
a24: $i ).
tff(decl_50,type,
a26: $i ).
tff(decl_51,type,
a27: $i ).
tff(decl_52,type,
a28: $i ).
tff(decl_53,type,
a30: $i ).
tff(decl_54,type,
a32: $i ).
tff(decl_55,type,
tuple: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
cnf(involutory_quandle_01,axiom,
product(product(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle_01) ).
cnf(knot_22,axiom,
product(a22,a31) = a23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_22) ).
cnf(involutory_quandle_02,axiom,
product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle_02) ).
cnf(knot_03,axiom,
product(a2,a25) = a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_03) ).
cnf(knot_30,axiom,
product(a30,a23) = a31,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_30) ).
cnf(knot_27,axiom,
product(a27,a21) = a28,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_27) ).
cnf(knot_26,axiom,
product(a26,a1) = a27,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_26) ).
cnf(knot_32,axiom,
product(a32,a21) = a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_32) ).
cnf(involutory_quandle,axiom,
product(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle) ).
cnf(knot_24,axiom,
product(a24,a3) = a25,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_24) ).
cnf(knot_29,axiom,
product(a29,a1) = a30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_29) ).
cnf(knot_28,axiom,
product(a28,a3) = a29,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_28) ).
cnf(knot,axiom,
product(a1,a31) = a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot) ).
cnf(knot_31,axiom,
product(a31,a3) = a32,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_31) ).
cnf(knot_25,axiom,
product(a25,a23) = a26,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_25) ).
cnf(knot_21,axiom,
product(a21,a25) = a22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_21) ).
cnf(knot_23,axiom,
product(a23,a21) = a24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_23) ).
cnf(goal,negated_conjecture,
tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(knot_20,axiom,
product(a20,a29) = a21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_20) ).
cnf(knot_04,axiom,
product(a3,a29) = a4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_04) ).
cnf(knot_15,axiom,
product(a15,a5) = a16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_15) ).
cnf(knot_06,axiom,
product(a5,a15) = a6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_06) ).
cnf(knot_07,axiom,
product(a7,a19) = a8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_07) ).
cnf(knot_13,axiom,
product(a13,a7) = a14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_13) ).
cnf(knot_12,axiom,
product(a12,a19) = a13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_12) ).
cnf(knot_19,axiom,
product(a19,a11) = a20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_19) ).
cnf(knot_05,axiom,
product(a4,a11) = a5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_05) ).
cnf(knot_14,axiom,
product(a14,a17) = a15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_14) ).
cnf(knot_16,axiom,
product(a16,a19) = a17,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_16) ).
cnf(knot_11,axiom,
product(a11,a5) = a12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_11) ).
cnf(knot_17,axiom,
product(a17,a9) = a18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_17) ).
cnf(knot_08,axiom,
product(a8,a5) = a9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_08) ).
cnf(knot_18,axiom,
product(a18,a15) = a19,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_18) ).
cnf(knot_10,axiom,
product(a10,a7) = a11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_10) ).
cnf(knot_09,axiom,
product(a9,a17) = a10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_09) ).
cnf(c_0_35,axiom,
product(product(X1,X2),X2) = X1,
involutory_quandle_01 ).
cnf(c_0_36,axiom,
product(a22,a31) = a23,
knot_22 ).
cnf(c_0_37,axiom,
product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)),
involutory_quandle_02 ).
cnf(c_0_38,axiom,
product(a2,a25) = a3,
knot_03 ).
cnf(c_0_39,axiom,
product(a30,a23) = a31,
knot_30 ).
cnf(c_0_40,plain,
product(a23,a31) = a22,
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,axiom,
product(a27,a21) = a28,
knot_27 ).
cnf(c_0_42,axiom,
product(a26,a1) = a27,
knot_26 ).
cnf(c_0_43,axiom,
product(a32,a21) = a1,
knot_32 ).
cnf(c_0_44,axiom,
product(X1,X1) = X1,
involutory_quandle ).
cnf(c_0_45,axiom,
product(a24,a3) = a25,
knot_24 ).
cnf(c_0_46,plain,
product(product(X1,a25),a3) = product(product(X1,a2),a25),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
product(a3,a25) = a2,
inference(spm,[status(thm)],[c_0_35,c_0_38]) ).
cnf(c_0_48,plain,
product(product(X1,a22),product(a31,a22)) = product(product(X1,a30),a23),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_39]),c_0_37]),c_0_40]),c_0_37]) ).
cnf(c_0_49,plain,
product(product(a27,X1),a21) = product(a28,product(X1,a21)),
inference(spm,[status(thm)],[c_0_37,c_0_41]) ).
cnf(c_0_50,plain,
product(a27,a1) = a26,
inference(spm,[status(thm)],[c_0_35,c_0_42]) ).
cnf(c_0_51,plain,
product(a1,a21) = a32,
inference(spm,[status(thm)],[c_0_35,c_0_43]) ).
cnf(c_0_52,axiom,
product(a29,a1) = a30,
knot_29 ).
cnf(c_0_53,axiom,
product(a28,a3) = a29,
knot_28 ).
cnf(c_0_54,axiom,
product(a1,a31) = a2,
knot ).
cnf(c_0_55,plain,
product(product(X1,X2),X1) = product(X1,product(X2,X1)),
inference(spm,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_56,plain,
product(a25,a3) = a24,
inference(spm,[status(thm)],[c_0_35,c_0_45]) ).
cnf(c_0_57,plain,
product(product(a3,a2),a25) = product(a2,a3),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_58,plain,
product(product(product(X1,X2),X3),product(X2,X3)) = product(X1,X3),
inference(spm,[status(thm)],[c_0_35,c_0_37]) ).
cnf(c_0_59,plain,
product(product(a31,a30),a23) = product(a31,a22),
inference(spm,[status(thm)],[c_0_44,c_0_48]) ).
cnf(c_0_60,plain,
product(a31,a23) = a30,
inference(spm,[status(thm)],[c_0_35,c_0_39]) ).
cnf(c_0_61,plain,
product(a28,a32) = product(a26,a21),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_62,plain,
product(product(a29,X1),product(a1,X1)) = product(a30,X1),
inference(spm,[status(thm)],[c_0_37,c_0_52]) ).
cnf(c_0_63,plain,
product(a29,a3) = a28,
inference(spm,[status(thm)],[c_0_35,c_0_53]) ).
cnf(c_0_64,plain,
product(product(a1,X1),product(a31,X1)) = product(a2,X1),
inference(spm,[status(thm)],[c_0_37,c_0_54]) ).
cnf(c_0_65,axiom,
product(a31,a3) = a32,
knot_31 ).
cnf(c_0_66,axiom,
product(a25,a23) = a26,
knot_25 ).
cnf(c_0_67,plain,
product(a3,a24) = product(a2,a3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_55]),c_0_56]),c_0_57]) ).
cnf(c_0_68,axiom,
product(a21,a25) = a22,
knot_21 ).
cnf(c_0_69,plain,
product(product(a31,a22),a31) = a30,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_39]),c_0_60]) ).
cnf(c_0_70,plain,
product(product(a28,X1),a32) = product(product(a26,a21),product(X1,a32)),
inference(spm,[status(thm)],[c_0_37,c_0_61]) ).
cnf(c_0_71,plain,
product(a28,product(a1,a3)) = product(a30,a3),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_72,plain,
product(product(a1,a32),product(a3,a32)) = product(a2,a3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_37]) ).
cnf(c_0_73,plain,
product(product(a25,X1),product(a23,X1)) = product(a26,X1),
inference(spm,[status(thm)],[c_0_37,c_0_66]) ).
cnf(c_0_74,axiom,
product(a23,a21) = a24,
knot_23 ).
cnf(c_0_75,plain,
product(a25,a24) = product(a24,product(a2,a3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_45]),c_0_67]) ).
cnf(c_0_76,plain,
product(product(a21,X1),product(a25,X1)) = product(a22,X1),
inference(spm,[status(thm)],[c_0_37,c_0_68]) ).
cnf(c_0_77,plain,
product(product(a31,X1),a3) = product(a32,product(X1,a3)),
inference(spm,[status(thm)],[c_0_37,c_0_65]) ).
cnf(c_0_78,plain,
product(a31,a22) = product(a30,a31),
inference(spm,[status(thm)],[c_0_35,c_0_69]) ).
cnf(c_0_79,plain,
product(product(X1,a31),a3) = product(product(X1,a32),product(a3,a32)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_65]),c_0_37]) ).
cnf(c_0_80,plain,
product(product(a30,a32),product(a3,a32)) = product(product(a26,a21),product(a2,a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_37]),c_0_72]),c_0_37]) ).
cnf(c_0_81,plain,
product(product(product(X1,X2),X3),X2) = product(X1,product(X3,X2)),
inference(spm,[status(thm)],[c_0_37,c_0_35]) ).
cnf(c_0_82,plain,
product(product(a24,product(a2,a3)),product(a21,a24)) = product(a26,a21),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_37]),c_0_75]) ).
cnf(c_0_83,plain,
product(product(a21,a24),product(a2,a3)) = product(a22,a3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_56]),c_0_37]),c_0_67]) ).
cnf(c_0_84,plain,
product(product(a26,a21),product(a2,a3)) = product(a32,product(a22,a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80]) ).
cnf(c_0_85,plain,
product(a24,product(a22,a3)) = product(a32,product(a22,a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84]) ).
cnf(c_0_86,plain,
product(product(a29,X1),a1) = product(a30,product(X1,a1)),
inference(spm,[status(thm)],[c_0_37,c_0_52]) ).
cnf(c_0_87,plain,
product(a24,a21) = a23,
inference(spm,[status(thm)],[c_0_35,c_0_74]) ).
cnf(c_0_88,plain,
product(product(a22,X1),a31) = product(a23,product(X1,a31)),
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_89,plain,
product(a22,a25) = a21,
inference(spm,[status(thm)],[c_0_35,c_0_68]) ).
cnf(c_0_90,plain,
a24 = a32,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_85]),c_0_35]) ).
cnf(c_0_91,plain,
product(a32,a3) = a31,
inference(spm,[status(thm)],[c_0_35,c_0_65]) ).
cnf(c_0_92,plain,
product(product(a30,X1),a23) = product(a31,product(X1,a23)),
inference(spm,[status(thm)],[c_0_37,c_0_39]) ).
cnf(c_0_93,plain,
product(a30,product(a3,a1)) = product(a28,a1),
inference(spm,[status(thm)],[c_0_86,c_0_63]) ).
cnf(c_0_94,plain,
product(product(a24,X1),product(a21,X1)) = product(a23,X1),
inference(spm,[status(thm)],[c_0_37,c_0_87]) ).
cnf(c_0_95,plain,
product(a21,a31) = product(a23,product(a25,a31)),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,plain,
product(product(a32,X1),product(a21,X1)) = product(a1,X1),
inference(spm,[status(thm)],[c_0_37,c_0_43]) ).
cnf(c_0_97,negated_conjecture,
tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
goal ).
cnf(c_0_98,plain,
product(a26,a23) = a25,
inference(spm,[status(thm)],[c_0_35,c_0_66]) ).
cnf(c_0_99,plain,
a23 = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_90]),c_0_43]) ).
cnf(c_0_100,plain,
a25 = a31,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_90]),c_0_91]) ).
cnf(c_0_101,plain,
product(a31,product(product(a3,a1),a23)) = product(product(a28,a1),a23),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_102,plain,
product(product(a24,a31),product(a23,product(a25,a31))) = a22,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_40]) ).
cnf(c_0_103,plain,
product(product(a32,a31),product(a23,product(a25,a31))) = a2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_95]),c_0_54]) ).
cnf(c_0_104,plain,
product(product(a2,X1),product(a25,X1)) = product(a3,X1),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_105,plain,
product(a2,a31) = a1,
inference(spm,[status(thm)],[c_0_35,c_0_54]) ).
cnf(c_0_106,plain,
product(product(a26,a32),product(a21,a32)) = a28,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_61]),c_0_37]) ).
cnf(c_0_107,negated_conjecture,
tuple(a1,a30,a31,a2,a32,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a32,a27,a28),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_90]),c_0_90]) ).
cnf(c_0_108,plain,
a31 = a27,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99]),c_0_42]),c_0_100]) ).
cnf(c_0_109,plain,
a28 = a32,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_99]),c_0_35]),c_0_65]),c_0_99]),c_0_35]) ).
cnf(c_0_110,plain,
a22 = a2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_90]),c_0_103]) ).
cnf(c_0_111,plain,
product(a30,a1) = a29,
inference(spm,[status(thm)],[c_0_35,c_0_52]) ).
cnf(c_0_112,plain,
product(a3,a31) = product(a1,product(a25,a31)),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_113,plain,
product(a28,product(a21,a32)) = product(a26,a32),
inference(spm,[status(thm)],[c_0_35,c_0_106]) ).
cnf(c_0_114,plain,
product(product(a25,a2),a25) = a24,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_44]),c_0_56]) ).
cnf(c_0_115,negated_conjecture,
tuple(a1,a30,a27,a2,a32,a27,a3,a32,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a2,a1,a26,a27) != tuple(a2,a27,a32,a3,a27,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a2,a1,a32,a27,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_99]),c_0_99]),c_0_108]),c_0_100]),c_0_108]),c_0_109]),c_0_110]),c_0_108]),c_0_100]),c_0_108]),c_0_110]),c_0_109]) ).
cnf(c_0_116,plain,
a29 = a27,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_99]),c_0_111]),c_0_108]) ).
cnf(c_0_117,plain,
product(product(X1,a31),product(a1,product(a25,a31))) = product(product(X1,a32),a3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_91]),c_0_37]),c_0_112]) ).
cnf(c_0_118,plain,
product(a28,product(product(a21,a32),a28)) = product(product(a26,a32),a28),
inference(spm,[status(thm)],[c_0_55,c_0_113]) ).
cnf(c_0_119,axiom,
product(a20,a29) = a21,
knot_20 ).
cnf(c_0_120,axiom,
product(a3,a29) = a4,
knot_04 ).
cnf(c_0_121,plain,
product(product(a28,X1),product(a3,X1)) = product(a29,X1),
inference(spm,[status(thm)],[c_0_37,c_0_53]) ).
cnf(c_0_122,plain,
product(a25,a2) = product(a24,a25),
inference(spm,[status(thm)],[c_0_35,c_0_114]) ).
cnf(c_0_123,negated_conjecture,
tuple(a1,a30,a27,a2,a32,a27,a3,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a2,a1,a26,a27) != tuple(a2,a27,a32,a3,a27,a26,a4,a27,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a2,a1,a32,a27,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_116]),c_0_116]) ).
cnf(c_0_124,plain,
a27 = a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_99]),c_0_117]),c_0_44]),c_0_91]),c_0_108]) ).
cnf(c_0_125,plain,
a3 = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_100]),c_0_105]) ).
cnf(c_0_126,plain,
a21 = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_100]),c_0_36]),c_0_99]) ).
cnf(c_0_127,plain,
product(product(a30,X1),product(X1,product(a1,X1))) = product(a29,product(a1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_86]),c_0_37]),c_0_55]) ).
cnf(c_0_128,plain,
product(a28,a21) = a27,
inference(spm,[status(thm)],[c_0_35,c_0_41]) ).
cnf(c_0_129,plain,
a1 = a26,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_109]),c_0_109]),c_0_35]),c_0_43]),c_0_109]),c_0_35]) ).
cnf(c_0_130,plain,
product(a21,a29) = a20,
inference(spm,[status(thm)],[c_0_35,c_0_119]) ).
cnf(c_0_131,plain,
product(product(a22,X1),product(a31,X1)) = product(a23,X1),
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_132,plain,
product(product(a3,X1),product(a29,X1)) = product(a4,X1),
inference(spm,[status(thm)],[c_0_37,c_0_120]) ).
cnf(c_0_133,plain,
product(product(a28,a2),product(a24,a25)) = product(a29,a25),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_47]),c_0_37]),c_0_122]) ).
cnf(c_0_134,plain,
product(product(a24,a2),product(a24,a25)) = a25,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_122]),c_0_37]),c_0_122]) ).
cnf(c_0_135,axiom,
product(a15,a5) = a16,
knot_15 ).
cnf(c_0_136,negated_conjecture,
tuple(a1,a30,a2,a2,a32,a2,a1,a32,a2,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a1,a2,a1,a26,a2) != tuple(a2,a2,a32,a1,a2,a26,a4,a2,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a1,a2,a1,a32,a2,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124]),c_0_124]),c_0_124]),c_0_124]),c_0_124]),c_0_124]),c_0_124]),c_0_124]),c_0_125]),c_0_126]),c_0_125]),c_0_126]) ).
cnf(c_0_137,plain,
product(a29,product(a1,a23)) = product(a31,product(a23,product(a1,a23))),
inference(spm,[status(thm)],[c_0_127,c_0_39]) ).
cnf(c_0_138,plain,
a26 = a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_109]),c_0_43]),c_0_129]),c_0_124]) ).
cnf(c_0_139,plain,
product(product(a21,X1),a29) = product(a20,product(X1,a29)),
inference(spm,[status(thm)],[c_0_37,c_0_130]) ).
cnf(c_0_140,plain,
product(a21,product(a31,a25)) = product(a23,a25),
inference(spm,[status(thm)],[c_0_131,c_0_89]) ).
cnf(c_0_141,plain,
product(a2,product(a29,a25)) = product(a4,a25),
inference(spm,[status(thm)],[c_0_132,c_0_47]) ).
cnf(c_0_142,plain,
product(product(a29,a2),product(a24,a25)) = product(a28,a25),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_133]),c_0_37]),c_0_122]),c_0_134]),c_0_37]),c_0_122]) ).
cnf(c_0_143,plain,
product(product(X1,a15),a5) = product(product(X1,a16),product(a5,a16)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_135]),c_0_37]) ).
cnf(c_0_144,axiom,
product(a5,a15) = a6,
knot_06 ).
cnf(c_0_145,axiom,
product(a7,a19) = a8,
knot_07 ).
cnf(c_0_146,axiom,
product(a13,a7) = a14,
knot_13 ).
cnf(c_0_147,axiom,
product(a12,a19) = a13,
knot_12 ).
cnf(c_0_148,negated_conjecture,
tuple(a26,a30,a2,a2,a32,a2,a26,a32,a2,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a26,a2,a26,a26,a2) != tuple(a2,a2,a32,a26,a2,a26,a4,a2,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a26,a2,a26,a32,a2,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_129]),c_0_129]),c_0_129]),c_0_129]),c_0_129]),c_0_129]),c_0_129]) ).
cnf(c_0_149,plain,
a30 = a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_99]),c_0_44]),c_0_52]),c_0_108]),c_0_99]),c_0_99]),c_0_44]),c_0_44]),c_0_50]),c_0_138]) ).
cnf(c_0_150,plain,
product(product(a23,a25),a29) = product(a20,product(product(a31,a25),a29)),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_151,plain,
a2 = a32,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_126]),c_0_44]),c_0_129]),c_0_138]) ).
cnf(c_0_152,plain,
product(product(a4,a2),product(a24,a25)) = product(a2,product(a28,a25)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_141]),c_0_37]),c_0_122]),c_0_142]),c_0_37]),c_0_122]) ).
cnf(c_0_153,plain,
product(a5,a16) = product(a6,a5),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_44]) ).
cnf(c_0_154,plain,
product(product(X1,a7),a19) = product(product(X1,a8),product(a19,a8)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_145]),c_0_37]) ).
cnf(c_0_155,plain,
product(a14,a7) = a13,
inference(spm,[status(thm)],[c_0_35,c_0_146]) ).
cnf(c_0_156,plain,
product(a13,a19) = a12,
inference(spm,[status(thm)],[c_0_35,c_0_147]) ).
cnf(c_0_157,negated_conjecture,
tuple(a2,a2,a2,a2,a32,a2,a2,a32,a2,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a2,a2,a2,a2,a2) != tuple(a2,a2,a32,a2,a2,a2,a4,a2,a2,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a2,a2,a2,a32,a2,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_138]),c_0_138]),c_0_138]),c_0_138]),c_0_138]),c_0_138]),c_0_138]),c_0_138]),c_0_138]),c_0_149]),c_0_149]) ).
cnf(c_0_158,axiom,
product(a19,a11) = a20,
knot_19 ).
cnf(c_0_159,plain,
product(a20,a32) = a32,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_99]),c_0_100]),c_0_108]),c_0_116]),c_0_35]),c_0_108]),c_0_100]),c_0_108]),c_0_44]),c_0_116]),c_0_44]),c_0_124]),c_0_151]),c_0_129]),c_0_138]),c_0_151]) ).
cnf(c_0_160,axiom,
product(a4,a11) = a5,
knot_05 ).
cnf(c_0_161,plain,
a4 = a32,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_151]),c_0_90]),c_0_100]),c_0_108]),c_0_124]),c_0_151]),c_0_44]),c_0_35]),c_0_151]),c_0_109]),c_0_100]),c_0_108]),c_0_124]),c_0_151]),c_0_44]),c_0_44]) ).
cnf(c_0_162,plain,
product(product(X1,a15),a5) = product(product(X1,a16),product(a6,a5)),
inference(rw,[status(thm)],[c_0_143,c_0_153]) ).
cnf(c_0_163,axiom,
product(a14,a17) = a15,
knot_14 ).
cnf(c_0_164,axiom,
product(a16,a19) = a17,
knot_16 ).
cnf(c_0_165,plain,
product(product(a14,a8),product(a19,a8)) = a12,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]) ).
cnf(c_0_166,negated_conjecture,
tuple(a32,a32,a32,a32,a32,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) != tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a32,a32,a32,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]),c_0_151]) ).
cnf(c_0_167,plain,
product(a20,a11) = a19,
inference(spm,[status(thm)],[c_0_35,c_0_158]) ).
cnf(c_0_168,plain,
a20 = a32,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_159]),c_0_44]) ).
cnf(c_0_169,plain,
product(a32,a11) = a5,
inference(rw,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_170,plain,
product(product(a15,a16),product(a6,a5)) = a16,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_44]),c_0_135]) ).
cnf(c_0_171,plain,
product(product(a15,X1),a5) = product(a16,product(X1,a5)),
inference(spm,[status(thm)],[c_0_37,c_0_135]) ).
cnf(c_0_172,plain,
product(a15,a17) = a14,
inference(spm,[status(thm)],[c_0_35,c_0_163]) ).
cnf(c_0_173,plain,
product(a17,a19) = a16,
inference(spm,[status(thm)],[c_0_35,c_0_164]) ).
cnf(c_0_174,plain,
product(a14,a19) = product(a12,a8),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_165]),c_0_35]) ).
cnf(c_0_175,axiom,
product(a11,a5) = a12,
knot_11 ).
cnf(c_0_176,axiom,
product(a17,a9) = a18,
knot_17 ).
cnf(c_0_177,axiom,
product(a8,a5) = a9,
knot_08 ).
cnf(c_0_178,negated_conjecture,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) != tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a32,a32,a32,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_161]),c_0_161]) ).
cnf(c_0_179,plain,
product(a8,a19) = a7,
inference(spm,[status(thm)],[c_0_35,c_0_145]) ).
cnf(c_0_180,plain,
a19 = a5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_168]),c_0_169]) ).
cnf(c_0_181,axiom,
product(a18,a15) = a19,
knot_18 ).
cnf(c_0_182,plain,
product(product(X1,a17),product(a19,a17)) = product(product(X1,a16),a19),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_164]),c_0_37]) ).
cnf(c_0_183,plain,
product(a15,a16) = product(a16,product(a6,a5)),
inference(spm,[status(thm)],[c_0_35,c_0_170]) ).
cnf(c_0_184,plain,
product(product(a16,X1),a19) = product(a17,product(X1,a19)),
inference(spm,[status(thm)],[c_0_37,c_0_164]) ).
cnf(c_0_185,plain,
product(a16,product(a17,a5)) = product(a14,a5),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_186,plain,
product(product(a17,X1),a19) = product(a16,product(X1,a19)),
inference(spm,[status(thm)],[c_0_37,c_0_173]) ).
cnf(c_0_187,plain,
product(product(a14,X1),a19) = product(product(a12,a8),product(X1,a19)),
inference(spm,[status(thm)],[c_0_37,c_0_174]) ).
cnf(c_0_188,plain,
product(a12,a5) = a11,
inference(spm,[status(thm)],[c_0_35,c_0_175]) ).
cnf(c_0_189,axiom,
product(a10,a7) = a11,
knot_10 ).
cnf(c_0_190,plain,
product(a16,a5) = a15,
inference(spm,[status(thm)],[c_0_35,c_0_135]) ).
cnf(c_0_191,plain,
product(product(a17,X1),product(a9,X1)) = product(a18,X1),
inference(spm,[status(thm)],[c_0_37,c_0_176]) ).
cnf(c_0_192,plain,
product(a9,a5) = a8,
inference(spm,[status(thm)],[c_0_35,c_0_177]) ).
cnf(c_0_193,negated_conjecture,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a32,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) != tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_168]),c_0_168]) ).
cnf(c_0_194,plain,
a9 = a7,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_180]),c_0_177]) ).
cnf(c_0_195,plain,
product(a19,a15) = a18,
inference(spm,[status(thm)],[c_0_35,c_0_181]) ).
cnf(c_0_196,plain,
product(a17,product(product(a6,a5),a19)) = product(a14,product(a19,a17)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_172]),c_0_183]),c_0_37]),c_0_164]) ).
cnf(c_0_197,plain,
product(product(a12,a8),product(a5,a19)) = product(a17,product(a16,product(a5,a19))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]),c_0_187]) ).
cnf(c_0_198,plain,
product(product(a12,X1),a5) = product(a11,product(X1,a5)),
inference(spm,[status(thm)],[c_0_37,c_0_188]) ).
cnf(c_0_199,plain,
product(a11,a7) = a10,
inference(spm,[status(thm)],[c_0_35,c_0_189]) ).
cnf(c_0_200,plain,
a17 = a15,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_180]),c_0_190]) ).
cnf(c_0_201,plain,
product(product(a16,X1),a5) = product(a15,product(X1,a5)),
inference(spm,[status(thm)],[c_0_37,c_0_190]) ).
cnf(c_0_202,plain,
product(a16,product(a9,a19)) = product(a18,a19),
inference(spm,[status(thm)],[c_0_191,c_0_173]) ).
cnf(c_0_203,plain,
product(product(a9,X1),a5) = product(a8,product(X1,a5)),
inference(spm,[status(thm)],[c_0_37,c_0_192]) ).
cnf(c_0_204,negated_conjecture,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a5,a32,a7,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) != tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a5,a8,a7,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_180]),c_0_180]),c_0_194]),c_0_194]) ).
cnf(c_0_205,plain,
a18 = a6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_180]),c_0_144]) ).
cnf(c_0_206,plain,
product(product(a14,product(a19,a17)),product(product(a6,a5),a19)) = a17,
inference(spm,[status(thm)],[c_0_35,c_0_196]) ).
cnf(c_0_207,plain,
a15 = a10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_180]),c_0_44]),c_0_198]),c_0_177]),c_0_194]),c_0_199]),c_0_200]),c_0_180]),c_0_44]),c_0_190]),c_0_44]) ).
cnf(c_0_208,axiom,
product(a9,a17) = a10,
knot_09 ).
cnf(c_0_209,plain,
product(product(a18,a5),product(a19,a5)) = product(a15,product(a8,product(a19,a5))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_203]),c_0_37]) ).
cnf(c_0_210,plain,
a11 = a13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_180]),c_0_188]) ).
cnf(c_0_211,plain,
product(product(a11,X1),a5) = product(a12,product(X1,a5)),
inference(spm,[status(thm)],[c_0_37,c_0_175]) ).
cnf(c_0_212,negated_conjecture,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a5,a32,a7,a10,a17,a6,a13,a14,a32,a32,a32,a32,a32,a32) != tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a6,a5,a8,a7,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_205]),c_0_205]) ).
cnf(c_0_213,plain,
a14 = a10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_180]),c_0_200]),c_0_144]),c_0_180]),c_0_35]),c_0_35]),c_0_200]),c_0_207]) ).
cnf(c_0_214,plain,
product(a9,a18) = product(a10,a9),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_208]),c_0_176]) ).
cnf(c_0_215,plain,
a13 = a6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_205]),c_0_180]),c_0_44]),c_0_35]),c_0_207]),c_0_180]),c_0_44]),c_0_177]),c_0_194]),c_0_189]),c_0_210]) ).
cnf(c_0_216,plain,
product(product(a12,X1),a19) = product(a13,product(X1,a19)),
inference(spm,[status(thm)],[c_0_37,c_0_147]) ).
cnf(c_0_217,plain,
product(a12,product(a7,a5)) = product(a10,a5),
inference(spm,[status(thm)],[c_0_211,c_0_199]) ).
cnf(c_0_218,plain,
product(product(a7,X1),a19) = product(a8,product(X1,a19)),
inference(spm,[status(thm)],[c_0_37,c_0_145]) ).
cnf(c_0_219,plain,
product(product(a8,X1),product(a5,X1)) = product(a9,X1),
inference(spm,[status(thm)],[c_0_37,c_0_177]) ).
cnf(c_0_220,negated_conjecture,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a10,a16,a7,a8,a5,a32,a7,a10,a10,a6,a13,a10,a32,a32,a32,a32,a32,a32) != tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a13,a5,a10,a10,a6,a7,a6,a5,a8,a7,a16,a10,a12,a13,a32,a32,a32,a32,a32,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_200]),c_0_200]),c_0_210]),c_0_207]),c_0_207]),c_0_213]),c_0_210]),c_0_213]),c_0_207]),c_0_207]) ).
cnf(c_0_221,plain,
product(a7,a6) = a6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_194]),c_0_194]),c_0_189]),c_0_205]),c_0_210]),c_0_215]) ).
cnf(c_0_222,plain,
product(product(a10,a5),a19) = product(a13,product(a8,product(a5,a19))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).
cnf(c_0_223,plain,
product(a7,product(a5,a19)) = product(a9,a19),
inference(spm,[status(thm)],[c_0_219,c_0_179]) ).
cnf(c_0_224,plain,
product(a13,product(a5,a19)) = product(a11,a19),
inference(spm,[status(thm)],[c_0_216,c_0_188]) ).
cnf(c_0_225,plain,
product(product(a14,X1),a17) = product(a15,product(X1,a17)),
inference(spm,[status(thm)],[c_0_37,c_0_163]) ).
cnf(c_0_226,negated_conjecture,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a7,a8,a5,a32,a7,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32) != tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a7,a6,a5,a8,a7,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_215]),c_0_215]),c_0_215]),c_0_215]) ).
cnf(c_0_227,plain,
a7 = a6,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_221]),c_0_44]) ).
cnf(c_0_228,plain,
product(a6,a7) = a10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_180]),c_0_35]),c_0_180]),c_0_44]),c_0_177]),c_0_215]),c_0_194]) ).
cnf(c_0_229,plain,
product(a7,a5) = a8,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_180]),c_0_44]),c_0_180]),c_0_192]) ).
cnf(c_0_230,plain,
product(a6,a5) = a12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_180]),c_0_44]),c_0_180]),c_0_175]),c_0_215]) ).
cnf(c_0_231,plain,
product(a15,product(a7,a17)) = product(a13,a17),
inference(spm,[status(thm)],[c_0_225,c_0_155]) ).
cnf(c_0_232,negated_conjecture,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a6,a8,a5,a32,a6,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32) != tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a6,a6,a5,a8,a6,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_227]),c_0_227]),c_0_227]),c_0_227]) ).
cnf(c_0_233,plain,
a10 = a6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_227]),c_0_44]) ).
cnf(c_0_234,plain,
a8 = a12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_227]),c_0_230]) ).
cnf(c_0_235,plain,
product(a16,product(product(a7,a17),a5)) = product(product(a13,a17),a5),
inference(spm,[status(thm)],[c_0_171,c_0_231]) ).
cnf(c_0_236,plain,
product(a6,a10) = a5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_180]),c_0_205]),c_0_207]) ).
cnf(c_0_237,plain,
product(a17,product(a5,a19)) = product(a15,a19),
inference(spm,[status(thm)],[c_0_184,c_0_190]) ).
cnf(c_0_238,negated_conjecture,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a6,a16,a6,a12,a5,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) != tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a6,a6,a6,a6,a5,a12,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_233]),c_0_233]),c_0_233]),c_0_233]),c_0_233]),c_0_233]),c_0_233]),c_0_233]),c_0_234]),c_0_234]) ).
cnf(c_0_239,plain,
a5 = a6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_227]),c_0_200]),c_0_207]),c_0_236]),c_0_44]),c_0_190]),c_0_207]),c_0_215]),c_0_200]),c_0_207]),c_0_236]),c_0_44]),c_0_233]) ).
cnf(c_0_240,plain,
product(a10,a5) = a16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_180]),c_0_44]),c_0_180]),c_0_135]),c_0_200]),c_0_207]) ).
cnf(c_0_241,plain,
product(product(X1,a11),a5) = product(product(X1,a12),product(a5,a12)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_175]),c_0_37]) ).
cnf(c_0_242,plain,
product(a5,a11) = a4,
inference(spm,[status(thm)],[c_0_35,c_0_160]) ).
cnf(c_0_243,negated_conjecture,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a12,a6,a6,a16,a6,a12,a6,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) != tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_239]),c_0_239]),c_0_239]),c_0_239]) ).
cnf(c_0_244,plain,
a16 = a12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_233]),c_0_230]) ).
cnf(c_0_245,plain,
product(product(a5,X1),product(a15,X1)) = product(a6,X1),
inference(spm,[status(thm)],[c_0_37,c_0_144]) ).
cnf(c_0_246,plain,
product(a5,a12) = product(a4,a5),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_44]) ).
cnf(c_0_247,negated_conjecture,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a12,a6,a6,a12,a6,a12,a6,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) != tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a12,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_244]),c_0_244]) ).
cnf(c_0_248,plain,
a12 = a6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_239]),c_0_44]) ).
cnf(c_0_249,plain,
product(product(a4,a5),product(a15,a12)) = product(a6,a12),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_250,negated_conjecture,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) != tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_248]),c_0_248]),c_0_248]),c_0_248]),c_0_248]),c_0_248]) ).
cnf(c_0_251,plain,
a6 = a32,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_161]),c_0_239]),c_0_207]),c_0_233]),c_0_248]),c_0_44]),c_0_35]),c_0_248]),c_0_44]) ).
cnf(c_0_252,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251]),c_0_251])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : TOP050-1 : TPTP v8.1.2. Released v8.1.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 22:57:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 2.84/2.90 % Version : CSE_E---1.5
% 2.84/2.90 % Problem : theBenchmark.p
% 2.84/2.90 % Proof found
% 2.84/2.90 % SZS status Theorem for theBenchmark.p
% 2.84/2.90 % SZS output start Proof
% See solution above
% 2.84/2.92 % Total time : 2.346000 s
% 2.84/2.92 % SZS output end Proof
% 2.84/2.92 % Total time : 2.349000 s
%------------------------------------------------------------------------------