TSTP Solution File: TOP053-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP053-1 : 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 : n016.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 05:54:29 EDT 2023
% Result : Unsatisfiable 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 36
% Syntax : Number of formulae : 114 ( 97 unt; 17 typ; 0 def)
% Number of atoms : 97 ( 96 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 16 ( 2 >; 14 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-14 aty)
% Number of variables : 20 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
product: ( $i * $i ) > $i ).
tff(decl_23,type,
a1: $i ).
tff(decl_24,type,
a2: $i ).
tff(decl_25,type,
a3: $i ).
tff(decl_26,type,
a4: $i ).
tff(decl_27,type,
a5: $i ).
tff(decl_28,type,
a6: $i ).
tff(decl_29,type,
a7: $i ).
tff(decl_30,type,
a8: $i ).
tff(decl_31,type,
a9: $i ).
tff(decl_32,type,
a10: $i ).
tff(decl_33,type,
a11: $i ).
tff(decl_34,type,
a12: $i ).
tff(decl_35,type,
a13: $i ).
tff(decl_36,type,
a14: $i ).
tff(decl_37,type,
a15: $i ).
tff(decl_38,type,
tuple: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
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(involutory_quandle,axiom,
product(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle) ).
cnf(involutory_quandle_01,axiom,
product(product(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle_01) ).
cnf(knot_04,axiom,
product(a5,a6) = a7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_04) ).
cnf(knot,axiom,
product(a1,a2) = a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot) ).
cnf(knot_06,axiom,
product(a8,a2) = a9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_06) ).
cnf(knot_05,axiom,
product(a7,a3) = a8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_05) ).
cnf(knot_15,axiom,
product(a4,a7) = a11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_15) ).
cnf(knot_03,axiom,
product(a3,a4) = a5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_03) ).
cnf(knot_11,axiom,
product(a6,a7) = a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_11) ).
cnf(knot_07,axiom,
product(a9,a1) = a10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_07) ).
cnf(knot_09,axiom,
product(a12,a3) = a13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_09) ).
cnf(knot_12,axiom,
product(a2,a12) = a14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_12) ).
cnf(knot_10,axiom,
product(a13,a8) = a6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_10) ).
cnf(knot_13,axiom,
product(a14,a3) = a15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_13) ).
cnf(knot_08,axiom,
product(a10,a11) = a12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_08) ).
cnf(knot_14,axiom,
product(a15,a8) = a4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_14) ).
cnf(knot_16,axiom,
product(a11,a10) = a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_16) ).
cnf(goal,negated_conjecture,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c_0_19,axiom,
product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)),
involutory_quandle_02 ).
cnf(c_0_20,axiom,
product(X1,X1) = X1,
involutory_quandle ).
cnf(c_0_21,axiom,
product(product(X1,X2),X2) = X1,
involutory_quandle_01 ).
cnf(c_0_22,axiom,
product(a5,a6) = a7,
knot_04 ).
cnf(c_0_23,axiom,
product(a1,a2) = a3,
knot ).
cnf(c_0_24,axiom,
product(a8,a2) = a9,
knot_06 ).
cnf(c_0_25,axiom,
product(a7,a3) = a8,
knot_05 ).
cnf(c_0_26,axiom,
product(a4,a7) = a11,
knot_15 ).
cnf(c_0_27,axiom,
product(a3,a4) = a5,
knot_03 ).
cnf(c_0_28,plain,
product(product(X1,X2),X1) = product(X1,product(X2,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_29,plain,
product(a7,a6) = a5,
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,axiom,
product(a6,a7) = a2,
knot_11 ).
cnf(c_0_31,plain,
product(product(X1,a1),a2) = product(product(X1,a2),a3),
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_32,axiom,
product(a9,a1) = a10,
knot_07 ).
cnf(c_0_33,plain,
product(a9,a2) = a8,
inference(spm,[status(thm)],[c_0_21,c_0_24]) ).
cnf(c_0_34,plain,
product(a8,a3) = a7,
inference(spm,[status(thm)],[c_0_21,c_0_25]) ).
cnf(c_0_35,axiom,
product(a12,a3) = a13,
knot_09 ).
cnf(c_0_36,axiom,
product(a2,a12) = a14,
knot_12 ).
cnf(c_0_37,plain,
product(product(X1,a4),a7) = product(product(X1,a7),a11),
inference(spm,[status(thm)],[c_0_19,c_0_26]) ).
cnf(c_0_38,plain,
product(a5,a4) = a3,
inference(spm,[status(thm)],[c_0_21,c_0_27]) ).
cnf(c_0_39,plain,
product(a5,a7) = product(a7,a2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_40,plain,
product(a10,a2) = a7,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).
cnf(c_0_41,axiom,
product(a13,a8) = a6,
knot_10 ).
cnf(c_0_42,plain,
product(product(X1,a12),a3) = product(product(X1,a3),a13),
inference(spm,[status(thm)],[c_0_19,c_0_35]) ).
cnf(c_0_43,plain,
product(a14,a12) = a2,
inference(spm,[status(thm)],[c_0_21,c_0_36]) ).
cnf(c_0_44,axiom,
product(a14,a3) = a15,
knot_13 ).
cnf(c_0_45,plain,
product(product(a7,a2),a11) = product(a3,a7),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_46,plain,
product(a7,a2) = a10,
inference(spm,[status(thm)],[c_0_21,c_0_40]) ).
cnf(c_0_47,axiom,
product(a10,a11) = a12,
knot_08 ).
cnf(c_0_48,plain,
product(product(X1,a13),a8) = product(product(X1,a8),a6),
inference(spm,[status(thm)],[c_0_19,c_0_41]) ).
cnf(c_0_49,plain,
product(a15,a13) = product(a2,a3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_50,axiom,
product(a15,a8) = a4,
knot_14 ).
cnf(c_0_51,plain,
product(a3,a7) = a12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_52,plain,
product(product(X1,a7),a3) = product(product(X1,a3),a8),
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_53,plain,
product(a2,a7) = a6,
inference(spm,[status(thm)],[c_0_21,c_0_30]) ).
cnf(c_0_54,plain,
product(product(a2,a3),a8) = product(a4,a6),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_55,plain,
product(a12,a7) = a3,
inference(spm,[status(thm)],[c_0_21,c_0_51]) ).
cnf(c_0_56,plain,
product(a6,a3) = product(a4,a6),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_57,axiom,
product(a11,a10) = a1,
knot_16 ).
cnf(c_0_58,plain,
product(a10,a1) = a9,
inference(spm,[status(thm)],[c_0_21,c_0_32]) ).
cnf(c_0_59,negated_conjecture,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
goal ).
cnf(c_0_60,plain,
a6 = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_55]),c_0_20]),c_0_35]),c_0_41]) ).
cnf(c_0_61,plain,
product(product(a4,a6),a3) = a6,
inference(spm,[status(thm)],[c_0_21,c_0_56]) ).
cnf(c_0_62,plain,
product(a4,a8) = a15,
inference(spm,[status(thm)],[c_0_21,c_0_50]) ).
cnf(c_0_63,plain,
product(product(X1,a10),a11) = product(product(X1,a11),a12),
inference(spm,[status(thm)],[c_0_19,c_0_47]) ).
cnf(c_0_64,plain,
product(a12,a10) = a9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_47]),c_0_57]),c_0_58]) ).
cnf(c_0_65,plain,
product(a12,a11) = a10,
inference(spm,[status(thm)],[c_0_21,c_0_47]) ).
cnf(c_0_66,negated_conjecture,
tuple(a1,a2,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60]),c_0_60]) ).
cnf(c_0_67,plain,
a4 = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_60]),c_0_21]),c_0_60]) ).
cnf(c_0_68,plain,
a5 = a8,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_60]),c_0_25]) ).
cnf(c_0_69,plain,
product(a3,product(a4,a3)) = product(a5,a3),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_70,plain,
a12 = a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_60]),c_0_51]) ).
cnf(c_0_71,plain,
product(a4,product(a8,a4)) = product(a15,a4),
inference(spm,[status(thm)],[c_0_28,c_0_62]) ).
cnf(c_0_72,plain,
product(a15,a3) = a14,
inference(spm,[status(thm)],[c_0_21,c_0_44]) ).
cnf(c_0_73,plain,
product(a9,a11) = product(a10,a12),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_74,negated_conjecture,
tuple(a1,a2,a3,a3,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a3,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67]),c_0_67]) ).
cnf(c_0_75,plain,
a8 = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_67]),c_0_20]),c_0_68]) ).
cnf(c_0_76,plain,
a7 = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_67]),c_0_20]),c_0_20]),c_0_68]),c_0_34]) ).
cnf(c_0_77,plain,
a11 = a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_67]),c_0_51]),c_0_70]) ).
cnf(c_0_78,plain,
a14 = 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)],[c_0_71,c_0_67]),c_0_67]),c_0_34]),c_0_51]),c_0_67]),c_0_72]),c_0_70]) ).
cnf(c_0_79,plain,
product(product(a10,a12),a11) = a9,
inference(spm,[status(thm)],[c_0_21,c_0_73]) ).
cnf(c_0_80,plain,
product(product(a5,a3),a8) = product(product(a7,a2),a3),
inference(spm,[status(thm)],[c_0_52,c_0_39]) ).
cnf(c_0_81,negated_conjecture,
tuple(a1,a2,a3,a3,a3,a3,a3,a3,a9,a10,a2,a2,a13,a2) != tuple(a2,a3,a3,a3,a3,a3,a3,a9,a10,a2,a2,a13,a2,a15),
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_74,c_0_68]),c_0_68]),c_0_75]),c_0_76]),c_0_75]),c_0_77]),c_0_70]),c_0_78]),c_0_75]),c_0_76]),c_0_75]),c_0_77]),c_0_70]),c_0_78]) ).
cnf(c_0_82,plain,
a9 = a10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_70]),c_0_40]),c_0_77]),c_0_46]) ).
cnf(c_0_83,plain,
product(a3,a2) = a1,
inference(spm,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_84,plain,
product(a10,a3) = a3,
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_80,c_0_46]),c_0_68]),c_0_75]),c_0_20]),c_0_75]),c_0_20]) ).
cnf(c_0_85,negated_conjecture,
tuple(a1,a2,a3,a3,a3,a3,a3,a3,a10,a10,a2,a2,a13,a2) != tuple(a2,a3,a3,a3,a3,a3,a3,a10,a10,a2,a2,a13,a2,a15),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_82]) ).
cnf(c_0_86,plain,
a1 = a10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_75]),c_0_83]),c_0_82]) ).
cnf(c_0_87,plain,
a10 = a3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_84]),c_0_20]) ).
cnf(c_0_88,plain,
product(a2,a3) = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_60]),c_0_76]) ).
cnf(c_0_89,negated_conjecture,
tuple(a2,a3,a3,a3,a3,a3,a3,a3,a3,a2,a2,a13,a2,a15) != tuple(a3,a2,a3,a3,a3,a3,a3,a3,a3,a3,a2,a2,a13,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)],[c_0_85,c_0_86]),c_0_87]),c_0_87]),c_0_87]),c_0_87]),c_0_87]) ).
cnf(c_0_90,plain,
a2 = a3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_88]),c_0_20]) ).
cnf(c_0_91,plain,
product(a6,a8) = a13,
inference(spm,[status(thm)],[c_0_21,c_0_41]) ).
cnf(c_0_92,negated_conjecture,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a13,a3,a15) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a13,a3),
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_89,c_0_90]),c_0_90]),c_0_90]),c_0_90]),c_0_90]),c_0_90]),c_0_90]),c_0_90]) ).
cnf(c_0_93,plain,
a13 = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_60]),c_0_75]),c_0_20]) ).
cnf(c_0_94,negated_conjecture,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a15) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93]),c_0_93]) ).
cnf(c_0_95,plain,
a15 = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_67]),c_0_75]),c_0_20]) ).
cnf(c_0_96,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP053-1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n016.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 : Sun Aug 27 00:30:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.60 % Version : CSE_E---1.5
% 0.19/0.60 % Problem : theBenchmark.p
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark.p
% 0.19/0.60 % SZS output start Proof
% See solution above
% 0.19/0.60 % Total time : 0.027000 s
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time : 0.030000 s
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