%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP031-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n025.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 May 5 04:23:37 PM UTC 2026
% Result : Unsatisfiable 0.28s 1.60s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP031-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.31 % Computer : n025.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Mon May 4 18:17:58 EDT 2026
% 0.13/0.31 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 0.28/1.60 % Version : CSE_E---1.7
% 0.28/1.60 % Problem : theBenchmark.p
% 0.28/1.60 % SZS status Unsatisfiable for theBenchmark.p
% 0.28/1.60 % SZS output start CNFRefutation
% 0.28/1.60 cnf(associativity1, axiom, (product(X1,X5,X6)|~product(X1,X2,X3)|~product(X2,X4,X5)|~product(X3,X4,X6)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP002-0.ax', associativity1)).
% 0.28/1.60 cnf(associativity2, axiom, (product(X3,X4,X6)|~product(X1,X2,X3)|~product(X2,X4,X5)|~product(X1,X5,X6)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP002-0.ax', associativity2)).
% 0.28/1.60 cnf(total_function2, axiom, (X3=X4|~product(X1,X2,X3)|~product(X1,X2,X4)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP002-0.ax', total_function2)).
% 0.28/1.60 cnf(prove_a_has_an_inverse, negated_conjecture, (~product(a,X1,identity)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_a_has_an_inverse)).
% 0.28/1.60 cnf(total_function1, axiom, (product(X1,X2,multiply(X1,X2))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP002-0.ax', total_function1)).
% 0.28/1.60 cnf(left_inverse, hypothesis, (product(inverse(X1),X1,identity)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', left_inverse)).
% 0.28/1.60 cnf(left_identity, hypothesis, (product(identity,X1,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', left_identity)).
% 0.28/1.60 cnf(i_0_7, axiom, (product(X1,X5,X6)|~product(X1,X2,X3)|~product(X2,X4,X5)|~product(X3,X4,X6)), associativity1, ['final']).
% 0.28/1.60 cnf(i_0_8, axiom, (product(X3,X4,X6)|~product(X1,X2,X3)|~product(X2,X4,X5)|~product(X1,X5,X6)), associativity2, ['final']).
% 0.28/1.60 cnf(i_0_9, axiom, (X3=X4|~product(X1,X2,X3)|~product(X1,X2,X4)), total_function2, ['final']).
% 0.28/1.60 cnf(i_0_10, negated_conjecture, (~product(a,X1,identity)), prove_a_has_an_inverse, ['final']).
% 0.28/1.60 cnf(i_0_11, axiom, (product(X1,X2,multiply(X1,X2))), total_function1, ['final']).
% 0.28/1.60 cnf(i_0_12, hypothesis, (product(inverse(X1),X1,identity)), left_inverse, ['final']).
% 0.28/1.60 cnf(i_0_13, hypothesis, (product(identity,X1,X1)), left_identity, ['final']).
% 0.28/1.60 cnf(i_0_14, axiom, (X1=X1)).
% 0.28/1.60 cnf(i_0_15, axiom, (X1=X2|X2!=X1)).
% 0.28/1.60 cnf(i_0_16, axiom, (X1=X2|X1!=X3|X3!=X2)).
% 0.28/1.60 cnf(i_0_17, axiom, (X1!=X2|~product(X1,X3,X4)|product(X2,X3,X4))).
% 0.28/1.60 cnf(i_0_18, axiom, (X1!=X2|~product(X3,X1,X4)|product(X3,X2,X4))).
% 0.28/1.60 cnf(i_0_19, axiom, (X1!=X2|~product(X3,X4,X1)|product(X3,X4,X2))).
% 0.38/1.78 cnf(i_0_14, axiom, (X1=X1)).
% 0.38/1.78 cnf(i_0_15, axiom, (X1=X2|X2!=X1)).
% 0.38/1.78 cnf(i_0_16, axiom, (X1=X2|X1!=X3|X3!=X2)).
% 0.38/1.78 cnf(i_0_17, axiom, (X1!=X2|~product(X1,X3,X4)|product(X2,X3,X4))).
% 0.38/1.78 cnf(i_0_18, axiom, (X1!=X2|~product(X3,X1,X4)|product(X3,X2,X4))).
% 0.38/1.78 cnf(i_0_19, axiom, (X1!=X2|~product(X3,X4,X1)|product(X3,X4,X2))).
% 0.38/1.78 cnf(i_0_20, plain, (identity!=a), inference(scs_inference,[],[i_0_10,i_0_13,i_0_17])).
% 0.38/1.78 cnf(i_0_21, plain, (~product(a,X1,identity)), inference(rename_variables,[],[i_0_10])).
% 0.38/1.78 cnf(i_0_22, plain, (product(identity,X1,X1)), inference(rename_variables,[],[i_0_13])).
% 0.38/1.78 cnf(i_0_23, plain, (~product(identity,a,identity)), inference(scs_inference,[],[i_0_10,i_0_13,i_0_22,i_0_17,i_0_9])).
% 0.38/1.78 cnf(i_0_24, plain, (product(identity,X1,X1)), inference(rename_variables,[],[i_0_13])).
% 0.38/1.78 cnf(i_0_25, plain, (~product(X1,X2,X3)|X4=X3|~product(X1,X2,X4)), inference(rename_variables,[],[i_0_9])).
% 0.38/1.78 cnf(i_0_26, plain, (multiply(a,X1)!=identity), inference(scs_inference,[],[i_0_10,i_0_21,i_0_13,i_0_22,i_0_11,i_0_17,i_0_9,i_0_19])).
% 0.38/1.78 cnf(i_0_27, plain, (~product(a,X1,identity)), inference(rename_variables,[],[i_0_10])).
% 0.38/1.78 cnf(i_0_28, plain, (product(X1,X2,multiply(X1,X2))), inference(rename_variables,[],[i_0_11])).
% 0.38/1.78 cnf(i_0_29, plain, (~product(a,identity,inverse(X1))), inference(scs_inference,[],[i_0_10,i_0_21,i_0_27,i_0_13,i_0_22,i_0_24,i_0_11,i_0_12,i_0_17,i_0_9,i_0_19,i_0_7])).
% 0.38/1.78 cnf(i_0_30, plain, (product(inverse(X1),X1,identity)), inference(rename_variables,[],[i_0_12])).
% 0.38/1.78 cnf(i_0_31, plain, (~product(a,X1,identity)), inference(rename_variables,[],[i_0_10])).
% 0.38/1.78 cnf(i_0_32, plain, (~product(X1,X2,X3)|product(X4,X5,X3)|~product(X4,X6,X1)|~product(X6,X2,X5)), inference(rename_variables,[],[i_0_7])).
% 0.38/1.78 cnf(i_0_33, plain, (~product(identity,identity,a)), inference(scs_inference,[],[i_0_10,i_0_21,i_0_27,i_0_31,i_0_13,i_0_22,i_0_24,i_0_11,i_0_12,i_0_17,i_0_9,i_0_19,i_0_7,i_0_8])).
% 0.38/1.78 cnf(i_0_34, plain, (product(identity,X1,X1)), inference(rename_variables,[],[i_0_13])).
% 0.38/1.78 cnf(i_0_35, plain, (~product(a,X1,identity)), inference(rename_variables,[],[i_0_10])).
% 0.38/1.78 cnf(i_0_36, plain, (~product(X1,X2,X3)|product(X4,X5,X3)|~product(X1,X6,X4)|~product(X6,X5,X2)), inference(rename_variables,[],[i_0_8])).
% 0.38/1.78 cnf(i_0_37, plain, (X1!=identity|~product(a,X1,inverse(identity))), inference(scs_inference,[],[i_0_10,i_0_21,i_0_27,i_0_31,i_0_13,i_0_22,i_0_24,i_0_11,i_0_12,i_0_17,i_0_9,i_0_19,i_0_7,i_0_8,i_0_18])).
% 0.38/1.78 cnf(i_0_38, plain, (~product(a,identity,inverse(identity))), inference(equality_inference,[],[37])).
% 0.38/1.78 cnf(i_0_39, plain, (X1=multiply(identity,X1)), inference(scs_inference,[],[i_0_13,i_0_11,i_0_9])).
% 0.38/1.78 cnf(i_0_40, plain, (product(X1,X2,multiply(X1,X2))), inference(rename_variables,[],[i_0_11])).
% 0.38/1.78 cnf(i_0_41, plain, (~product(X1,X2,X3)|X4=X3|~product(X1,X2,X4)), inference(rename_variables,[],[i_0_9])).
% 0.38/1.78 cnf(i_0_42, plain, (inverse(a)!=identity), inference(scs_inference,[],[i_0_23,i_0_13,i_0_11,i_0_12,i_0_9,i_0_17])).
% 0.38/1.78 cnf(i_0_43, plain, (product(inverse(X1),X1,identity)), inference(rename_variables,[],[i_0_12])).
% 0.38/1.78 cnf(i_0_44, plain, (multiply(a,identity)!=inverse(X1)), inference(scs_inference,[],[i_0_29,i_0_23,i_0_13,i_0_11,i_0_40,i_0_12,i_0_9,i_0_17,i_0_19])).
% 0.38/1.78 cnf(i_0_45, plain, (product(X1,X2,multiply(X1,X2))), inference(rename_variables,[],[i_0_11])).
% 0.38/1.78 cnf(i_0_46, plain, (a!=identity), inference(scs_inference,[],[i_0_29,i_0_33,i_0_23,i_0_13,i_0_11,i_0_40,i_0_12,i_0_9,i_0_17,i_0_19,i_0_18])).
% 0.38/1.78 cnf(i_0_47, plain, (product(identity,X1,X1)), inference(rename_variables,[],[i_0_13])).
% 0.38/1.78 cnf(i_0_48, plain, (~product(inverse(X1),identity,a)), inference(scs_inference,[],[i_0_10,i_0_29,i_0_33,i_0_23,i_0_13,i_0_47,i_0_11,i_0_40,i_0_12,i_0_43,i_0_9,i_0_17,i_0_19,i_0_18,i_0_8])).
% 0.38/1.78 cnf(i_0_49, plain, (product(inverse(X1),X1,identity)), inference(rename_variables,[],[i_0_12])).
% 0.38/1.78 cnf(i_0_50, plain, (~product(a,X1,identity)), inference(rename_variables,[],[i_0_10])).
% 0.38/1.78 cnf(i_0_51, plain, (~product(X1,X2,X3)|product(X4,X5,X3)|~product(X1,X6,X4)|~product(X6,X5,X2)), inference(rename_variables,[],[i_0_8])).
% 0.38/1.78 cnf(i_0_52, plain, (multiply(identity,a)=a), inference(scs_inference,[],[i_0_10,i_0_29,i_0_33,i_0_23,i_0_13,i_0_47,i_0_11,i_0_40,i_0_12,i_0_43,i_0_9,i_0_17,i_0_19,i_0_18,i_0_8,i_0_15])).
% 0.38/1.78 cnf(i_0_53, plain, (identity!=multiply(identity,a)), inference(scs_inference,[],[i_0_10,i_0_20,i_0_29,i_0_33,i_0_23,i_0_13,i_0_47,i_0_11,i_0_40,i_0_12,i_0_43,i_0_9,i_0_17,i_0_19,i_0_18,i_0_8,i_0_15,i_0_16])).
% 0.38/1.78 cnf(i_0_54, plain, (multiply(identity,X1)=X1), inference(scs_inference,[],[i_0_39,i_0_15])).
% 0.38/1.78 cnf(i_0_55, plain, (~product(inverse(X1),X1,inverse(a))), inference(scs_inference,[],[i_0_42,i_0_39,i_0_12,i_0_15,i_0_9])).
% 0.38/1.78 cnf(i_0_56, plain, (~product(X1,X2,X3)|X4=X3|~product(X1,X2,X4)), inference(rename_variables,[],[i_0_9])).
% 0.38/1.78 cnf(i_0_57, plain, (inverse(a)!=multiply(identity,identity)), inference(scs_inference,[],[i_0_42,i_0_39,i_0_12,i_0_15,i_0_9,i_0_16])).
% 0.38/1.78 cnf(i_0_58, plain, (~product(multiply(identity,a),X1,identity)), inference(scs_inference,[],[i_0_10,i_0_42,i_0_39,i_0_52,i_0_12,i_0_15,i_0_9,i_0_16,i_0_17])).
% 0.38/1.78 cnf(i_0_59, plain, (~product(a,X1,multiply(identity,identity))), inference(scs_inference,[],[i_0_10,i_0_42,i_0_39,i_0_52,i_0_12,i_0_15,i_0_9,i_0_16,i_0_17,i_0_19])).
% 0.38/1.78 cnf(i_0_60, plain, (~product(inverse(X1),multiply(identity,identity),a)), inference(scs_inference,[],[i_0_10,i_0_48,i_0_42,i_0_39,i_0_52,i_0_12,i_0_15,i_0_9,i_0_16,i_0_17,i_0_19,i_0_18])).
% 0.38/1.78 cnf(i_0_61, plain, (~product(a,X1,inverse(X2))), inference(scs_inference,[],[i_0_10,i_0_48,i_0_42,i_0_39,i_0_52,i_0_11,i_0_12,i_0_15,i_0_9,i_0_16,i_0_17,i_0_19,i_0_18,i_0_7])).
% 0.38/1.78 cnf(i_0_62, plain, (product(inverse(X1),X1,identity)), inference(rename_variables,[],[i_0_12])).
% 0.38/1.78 cnf(i_0_63, plain, (~product(a,X1,identity)), inference(rename_variables,[],[i_0_10])).
% 0.38/1.78 cnf(i_0_64, plain, (~product(X1,X2,X3)|product(X4,X5,X3)|~product(X4,X6,X1)|~product(X6,X2,X5)), inference(rename_variables,[],[i_0_7])).
% 0.38/1.78 cnf(i_0_65, plain, (~product(inverse(multiply(X1,X2)),X1,a)), inference(scs_inference,[],[i_0_10,i_0_63,i_0_48,i_0_42,i_0_39,i_0_52,i_0_11,i_0_12,i_0_62,i_0_15,i_0_9,i_0_16,i_0_17,i_0_19,i_0_18,i_0_7,i_0_8])).
% 0.38/1.78 cnf(i_0_66, plain, (product(inverse(X1),X1,identity)), inference(rename_variables,[],[i_0_12])).
% 0.38/1.78 cnf(i_0_67, plain, (~product(a,X1,identity)), inference(rename_variables,[],[i_0_10])).
% 0.38/1.78 cnf(i_0_68, plain, (~product(X1,X2,X3)|product(X4,X5,X3)|~product(X1,X6,X4)|~product(X6,X5,X2)), inference(rename_variables,[],[i_0_8])).
% 0.38/1.78 cnf(i_0_69, plain, (~product(multiply(identity,a),X1,inverse(X2))), inference(scs_inference,[],[i_0_61,i_0_54,i_0_17])).
% 0.38/1.78 cnf(i_0_70, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_71, plain, (~product(a,X1,multiply(identity,inverse(X2)))), inference(scs_inference,[],[i_0_61,i_0_54,i_0_70,i_0_17,i_0_19])).
% 0.38/1.78 cnf(i_0_72, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_73, plain, (~product(inverse(multiply(X1,X2)),multiply(identity,X1),a)), inference(scs_inference,[],[i_0_61,i_0_65,i_0_54,i_0_70,i_0_72,i_0_17,i_0_19,i_0_18])).
% 0.38/1.78 cnf(i_0_74, plain, (~product(inverse(multiply(X1,X2)),X1,a)), inference(rename_variables,[],[i_0_65])).
% 0.38/1.78 cnf(i_0_75, plain, (~product(multiply(identity,identity),identity,a)), inference(scs_inference,[],[i_0_33,i_0_54,i_0_17])).
% 0.38/1.78 cnf(i_0_76, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_77, plain, (~product(multiply(identity,a),X1,multiply(identity,inverse(X2)))), inference(scs_inference,[],[i_0_69,i_0_33,i_0_54,i_0_76,i_0_17,i_0_19])).
% 0.38/1.78 cnf(i_0_78, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_79, plain, (~product(identity,multiply(identity,identity),a)), inference(scs_inference,[],[i_0_69,i_0_33,i_0_54,i_0_76,i_0_78,i_0_17,i_0_19,i_0_18])).
% 0.38/1.78 cnf(i_0_80, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_81, plain, (~product(multiply(identity,a),X1,multiply(identity,identity))), inference(scs_inference,[],[i_0_58,i_0_54,i_0_19])).
% 0.38/1.78 cnf(i_0_82, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_83, plain, (~product(multiply(identity,inverse(X1)),identity,a)), inference(scs_inference,[],[i_0_58,i_0_48,i_0_54,i_0_82,i_0_19,i_0_17])).
% 0.38/1.78 cnf(i_0_84, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_85, plain, (~product(multiply(identity,identity),multiply(identity,identity),a)), inference(scs_inference,[],[i_0_58,i_0_75,i_0_48,i_0_54,i_0_82,i_0_84,i_0_19,i_0_17,i_0_18])).
% 0.38/1.78 cnf(i_0_86, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_87, plain, (~product(multiply(identity,inverse(X1)),identity,multiply(identity,a))), inference(scs_inference,[],[i_0_83,i_0_54,i_0_19])).
% 0.38/1.78 cnf(i_0_88, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_89, plain, (~product(multiply(identity,inverse(X1)),X1,inverse(a))), inference(scs_inference,[],[i_0_83,i_0_55,i_0_54,i_0_88,i_0_19,i_0_17])).
% 0.38/1.78 cnf(i_0_90, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_91, plain, (~product(multiply(identity,inverse(X1)),multiply(identity,identity),a)), inference(scs_inference,[],[i_0_83,i_0_55,i_0_54,i_0_88,i_0_90,i_0_19,i_0_17,i_0_18])).
% 0.38/1.78 cnf(i_0_92, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_93, plain, (~product(multiply(identity,identity),identity,multiply(identity,a))), inference(scs_inference,[],[i_0_75,i_0_54,i_0_19])).
% 0.38/1.78 cnf(i_0_94, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_95, plain, (~product(multiply(identity,inverse(X1)),multiply(identity,identity),multiply(identity,a))), inference(scs_inference,[],[i_0_75,i_0_87,i_0_54,i_0_94,i_0_19,i_0_18])).
% 0.38/1.78 cnf(i_0_96, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_97, plain, (~product(inverse(X1),identity,multiply(identity,a))), inference(scs_inference,[],[i_0_75,i_0_87,i_0_39,i_0_54,i_0_94,i_0_19,i_0_18,i_0_17])).
% 0.38/1.78 cnf(i_0_98, plain, (X1=multiply(identity,X1)), inference(rename_variables,[],[i_0_39])).
% 0.38/1.78 cnf(i_0_99, plain, (~product(inverse(multiply(X1,X2)),X1,multiply(identity,a))), inference(scs_inference,[],[i_0_65,i_0_54,i_0_19])).
% 0.38/1.78 cnf(i_0_100, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_101, plain, (~product(inverse(X1),multiply(identity,identity),multiply(identity,a))), inference(scs_inference,[],[i_0_97,i_0_65,i_0_54,i_0_100,i_0_19,i_0_18])).
% 0.38/1.78 cnf(i_0_102, plain, (multiply(identity,X1)=X1), inference(rename_variables,[],[i_0_54])).
% 0.38/1.78 cnf(i_0_103, plain, (~product(identity,identity,multiply(identity,a))), inference(scs_inference,[],[i_0_97,i_0_65,i_0_93,i_0_39,i_0_54,i_0_100,i_0_19,i_0_18,i_0_17])).
% 0.38/1.78 cnf(i_0_104, plain, (X1=multiply(identity,X1)), inference(rename_variables,[],[i_0_39])).
% 0.38/1.78 cnf(i_0_105, plain, (~product(X1,a,identity)), inference(scs_inference,[],[i_0_97,i_0_65,i_0_93,i_0_39,i_0_11,i_0_12,i_0_54,i_0_100,i_0_19,i_0_18,i_0_17,i_0_7])).
% 0.38/1.78 cnf(i_0_106, plain, (product(X1,X2,multiply(X1,X2))), inference(rename_variables,[],[i_0_11])).
% 0.38/1.78 cnf(i_0_107, plain, (~product(inverse(X1),identity,multiply(identity,a))), inference(rename_variables,[],[i_0_97])).
% 0.38/1.78 cnf(i_0_108, plain, (~product(X1,X2,X3)|product(X4,X5,X3)|~product(X4,X6,X1)|~product(X6,X2,X5)), inference(rename_variables,[],[i_0_7])).
% 0.38/1.78 cnf(i_0_109,plain, ($false), inference(scs_inference,[],[i_0+105, i_0_12]), ['proof']).
% 0.38/1.78 % SZS output end CNFRefutation
% 0.38/1.78 % Total time : 1.271s
%------------------------------------------------------------------------------