TSTP Solution File: KLE117+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE117+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 01:50:24 EDT 2022
% Result : Theorem 16.40s 3.23s
% Output : CNFRefutation 16.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 63 ( 63 unt; 0 nHn; 10 RR)
% Number of literals : 63 ( 62 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 92 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_14) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_2) ).
cnf(i_0_25,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_25) ).
cnf(i_0_12,plain,
multiplication(antidomain(X1),X1) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_12) ).
cnf(i_0_4,plain,
addition(X1,zero) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_4) ).
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_1) ).
cnf(i_0_3,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_3) ).
cnf(i_0_29,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_29) ).
cnf(i_0_23,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_23) ).
cnf(i_0_21,plain,
multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_21) ).
cnf(i_0_13,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_13) ).
cnf(i_0_24,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_24) ).
cnf(i_0_22,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_22) ).
cnf(i_0_20,negated_conjecture,
addition(esk1_0,esk2_0) = esk2_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_20) ).
cnf(i_0_19,negated_conjecture,
addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk3_0))))))),antidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(antidomain(antidomain(esk3_0)))))))) != antidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(antidomain(antidomain(esk3_0))))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfx6psq/input.p',i_0_19) ).
cnf(c_0_45,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
i_0_14 ).
cnf(c_0_46,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_47,plain,
multiplication(X1,one) = X1,
i_0_25 ).
cnf(c_0_48,plain,
multiplication(antidomain(X1),X1) = zero,
i_0_12 ).
cnf(c_0_49,plain,
addition(X1,zero) = X1,
i_0_4 ).
cnf(c_0_50,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_51,plain,
addition(X1,X1) = X1,
i_0_3 ).
cnf(c_0_52,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_29 ).
cnf(c_0_53,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
i_0_23 ).
cnf(c_0_54,plain,
multiplication(zero,X1) = zero,
i_0_21 ).
cnf(c_0_55,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_56,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_49,c_0_46]) ).
cnf(c_0_58,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_59,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_48]),c_0_49]) ).
cnf(c_0_60,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
i_0_13 ).
cnf(c_0_61,plain,
multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_48]),c_0_54]) ).
cnf(c_0_62,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_63,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_55]),c_0_46]) ).
cnf(c_0_64,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,addition(X3,X2))) = multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,X3)),
inference(spm,[status(thm)],[c_0_59,c_0_52]) ).
cnf(c_0_65,plain,
antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_66,plain,
multiplication(one,X1) = X1,
i_0_24 ).
cnf(c_0_67,plain,
multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_48]),c_0_57]) ).
cnf(c_0_68,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_22 ).
cnf(c_0_69,negated_conjecture,
addition(esk1_0,esk2_0) = esk2_0,
i_0_20 ).
cnf(c_0_70,plain,
multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),multiplication(X1,antidomain(X2))) = multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_55]),c_0_47]) ).
cnf(c_0_71,plain,
multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_65]),c_0_66]) ).
cnf(c_0_72,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X1,X3),X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(X3,X2)),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_48]),c_0_57]) ).
cnf(c_0_74,negated_conjecture,
addition(esk2_0,esk1_0) = esk2_0,
inference(rw,[status(thm)],[c_0_69,c_0_46]) ).
cnf(c_0_75,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_66]),c_0_46]) ).
cnf(c_0_76,plain,
multiplication(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_62]),c_0_66]),c_0_62]),c_0_66]) ).
cnf(c_0_77,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),multiplication(antidomain(antidomain(X1)),X2)) = multiplication(antidomain(multiplication(antidomain(X1),X2)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_55]),c_0_66]) ).
cnf(c_0_78,plain,
multiplication(antidomain(X1),multiplication(antidomain(X2),X1)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_63]),c_0_66]),c_0_66]),c_0_48]),c_0_66]) ).
cnf(c_0_79,plain,
multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)) = antidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_55]),c_0_47]) ).
cnf(c_0_80,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_55]),c_0_66]) ).
cnf(c_0_81,negated_conjecture,
multiplication(antidomain(multiplication(esk2_0,X1)),multiplication(esk1_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_74]),c_0_48]) ).
cnf(c_0_82,negated_conjecture,
addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk3_0))))))),antidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(antidomain(antidomain(esk3_0)))))))) != antidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(antidomain(antidomain(esk3_0))))))),
i_0_19 ).
cnf(c_0_83,plain,
addition(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_46]),c_0_63]),c_0_66]),c_0_46]) ).
cnf(c_0_84,plain,
multiplication(antidomain(antidomain(X1)),multiplication(antidomain(X2),X1)) = multiplication(antidomain(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_62]),c_0_66]),c_0_62]),c_0_66]) ).
cnf(c_0_85,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,plain,
multiplication(antidomain(antidomain(multiplication(esk2_0,X1))),multiplication(esk1_0,X1)) = multiplication(esk1_0,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_81]),c_0_62]),c_0_66]),c_0_62]),c_0_66]) ).
cnf(c_0_87,negated_conjecture,
addition(antidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(antidomain(antidomain(esk3_0))))))),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk3_0)))))))) != antidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(antidomain(antidomain(esk3_0))))))),
inference(rw,[status(thm)],[c_0_82,c_0_46]) ).
cnf(c_0_88,plain,
addition(antidomain(X1),antidomain(multiplication(antidomain(X2),X1))) = antidomain(multiplication(antidomain(X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_89,plain,
multiplication(antidomain(multiplication(esk2_0,X1)),antidomain(multiplication(esk1_0,X1))) = antidomain(multiplication(esk2_0,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_86]),c_0_85]),c_0_85]) ).
cnf(c_0_90,negated_conjecture,
addition(antidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(esk3_0))))),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk3_0)))))) != antidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(esk3_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_85]),c_0_85]),c_0_85]) ).
cnf(c_0_91,plain,
addition(antidomain(antidomain(multiplication(esk2_0,X1))),antidomain(antidomain(multiplication(esk1_0,X1)))) = antidomain(antidomain(multiplication(esk2_0,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_46]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE117+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Thu Jun 16 15:38:46 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.40 # ENIGMATIC: Selected SinE mode:
% 0.17/0.40 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.40 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.17/0.40 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.17/0.40 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 16.40/3.23 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 16.40/3.23 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 43; version: 991; iters: 150)
% 16.40/3.23 # Preprocessing time : 0.785 s
% 16.40/3.23 # Presaturation interreduction done
% 16.40/3.23
% 16.40/3.23 # Proof found!
% 16.40/3.23 # SZS status Theorem
% 16.40/3.23 # SZS output start CNFRefutation
% See solution above
% 16.40/3.23 # Training examples: 0 positive, 0 negative
% 16.40/3.23
% 16.40/3.23 # -------------------------------------------------
% 16.40/3.23 # User time : 0.946 s
% 16.40/3.23 # System time : 0.107 s
% 16.40/3.23 # Total time : 1.053 s
% 16.40/3.23 # ...preprocessing : 0.785 s
% 16.40/3.23 # ...main loop : 0.268 s
% 16.40/3.23 # Maximum resident set size: 167972 pages
% 16.40/3.23
%------------------------------------------------------------------------------