TSTP Solution File: MSC008-1.002 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 : Thu Aug 31 09:21:02 EDT 2023
% Result : Unsatisfiable 0.21s 0.65s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 20
% Syntax : Number of formulae : 107 ( 13 unt; 5 typ; 0 def)
% Number of atoms : 259 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 278 ( 121 ~; 157 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 3 >; 5 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 159 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p_1: $i ).
tff(decl_23,type,
p_2: $i ).
tff(decl_24,type,
eq: ( $i * $i ) > $o ).
tff(decl_25,type,
latin: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
greek: ( $i * $i * $i ) > $o ).
cnf(greek_element_is_unique,axiom,
( eq(X3,X4)
| ~ greek(X1,X2,X3)
| ~ greek(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_element_is_unique) ).
cnf(greek_column_required,axiom,
( greek(X1,p_1,X2)
| greek(X1,p_2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_column_required) ).
cnf(latin_element_is_unique,axiom,
( eq(X3,X4)
| ~ latin(X1,X2,X3)
| ~ latin(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_element_is_unique) ).
cnf(latin_column_required,axiom,
( latin(X1,p_1,X2)
| latin(X1,p_2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_column_required) ).
cnf(greek_row_required,axiom,
( greek(p_1,X1,X2)
| greek(p_2,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_row_required) ).
cnf(latin_row_required,axiom,
( latin(p_1,X1,X2)
| latin(p_2,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_row_required) ).
cnf(p_1_is_not_p_2,axiom,
~ eq(p_1,p_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_1_is_not_p_2) ).
cnf(greek_row_is_unique,axiom,
( eq(X1,X4)
| ~ greek(X1,X2,X3)
| ~ greek(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_row_is_unique) ).
cnf(latin_row_is_unique,axiom,
( eq(X1,X4)
| ~ latin(X1,X2,X3)
| ~ latin(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_row_is_unique) ).
cnf(symmetry,axiom,
( eq(X2,X1)
| ~ eq(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
cnf(no_two_same1,negated_conjecture,
( eq(X2,X6)
| ~ greek(X1,X2,X3)
| ~ latin(X1,X2,X4)
| ~ greek(X5,X6,X3)
| ~ latin(X5,X6,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_same1) ).
cnf(greek_cell_element,axiom,
( greek(X1,X2,p_1)
| greek(X1,X2,p_2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_cell_element) ).
cnf(latin_column_is_unique,axiom,
( eq(X2,X4)
| ~ latin(X1,X2,X3)
| ~ latin(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_column_is_unique) ).
cnf(latin_cell_element,axiom,
( latin(X1,X2,p_1)
| latin(X1,X2,p_2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_cell_element) ).
cnf(greek_column_is_unique,axiom,
( eq(X2,X4)
| ~ greek(X1,X2,X3)
| ~ greek(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_column_is_unique) ).
cnf(c_0_15,axiom,
( eq(X3,X4)
| ~ greek(X1,X2,X3)
| ~ greek(X1,X2,X4) ),
greek_element_is_unique ).
cnf(c_0_16,axiom,
( greek(X1,p_1,X2)
| greek(X1,p_2,X2) ),
greek_column_required ).
cnf(c_0_17,axiom,
( eq(X3,X4)
| ~ latin(X1,X2,X3)
| ~ latin(X1,X2,X4) ),
latin_element_is_unique ).
cnf(c_0_18,axiom,
( latin(X1,p_1,X2)
| latin(X1,p_2,X2) ),
latin_column_required ).
cnf(c_0_19,plain,
( greek(X1,p_1,X2)
| eq(X3,X2)
| ~ greek(X1,p_2,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,axiom,
( greek(p_1,X1,X2)
| greek(p_2,X1,X2) ),
greek_row_required ).
cnf(c_0_21,plain,
( latin(X1,p_1,X2)
| eq(X3,X2)
| ~ latin(X1,p_2,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,axiom,
( latin(p_1,X1,X2)
| latin(p_2,X1,X2) ),
latin_row_required ).
cnf(c_0_23,axiom,
~ eq(p_1,p_2),
p_1_is_not_p_2 ).
cnf(c_0_24,plain,
( greek(p_1,p_2,X1)
| greek(p_2,p_1,X2)
| eq(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( latin(p_1,p_2,X1)
| latin(p_2,p_1,X2)
| eq(X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,axiom,
( eq(X1,X4)
| ~ greek(X1,X2,X3)
| ~ greek(X4,X2,X3) ),
greek_row_is_unique ).
cnf(c_0_27,plain,
( greek(p_2,p_1,p_2)
| greek(p_1,p_2,p_1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,axiom,
( eq(X1,X4)
| ~ latin(X1,X2,X3)
| ~ latin(X4,X2,X3) ),
latin_row_is_unique ).
cnf(c_0_29,plain,
( latin(p_2,p_1,p_2)
| latin(p_1,p_2,p_1) ),
inference(spm,[status(thm)],[c_0_23,c_0_25]) ).
cnf(c_0_30,plain,
( greek(p_1,p_2,p_1)
| eq(X1,p_2)
| ~ greek(X1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
( latin(p_1,p_2,p_1)
| eq(X1,p_2)
| ~ latin(X1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
( greek(p_1,p_2,p_1)
| ~ greek(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_33,plain,
( latin(p_1,p_2,p_1)
| ~ latin(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_23,c_0_31]) ).
cnf(c_0_34,axiom,
( eq(X2,X1)
| ~ eq(X1,X2) ),
symmetry ).
cnf(c_0_35,plain,
( eq(X1,p_1)
| ~ greek(p_1,p_1,p_2)
| ~ greek(X1,p_2,p_1) ),
inference(spm,[status(thm)],[c_0_26,c_0_32]) ).
cnf(c_0_36,plain,
( eq(X1,p_1)
| ~ latin(p_1,p_1,p_2)
| ~ latin(X1,p_2,p_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( eq(X2,X6)
| ~ greek(X1,X2,X3)
| ~ latin(X1,X2,X4)
| ~ greek(X5,X6,X3)
| ~ latin(X5,X6,X4) ),
no_two_same1 ).
cnf(c_0_38,plain,
( eq(p_1,X1)
| ~ greek(p_1,p_1,p_2)
| ~ greek(X1,p_2,p_1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
( eq(p_1,X1)
| ~ latin(p_1,p_1,p_2)
| ~ latin(X1,p_2,p_1) ),
inference(spm,[status(thm)],[c_0_34,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( eq(X1,p_2)
| ~ greek(p_1,p_1,p_2)
| ~ greek(X2,X1,p_1)
| ~ latin(p_1,p_2,X3)
| ~ latin(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_32]) ).
cnf(c_0_41,plain,
( ~ greek(p_1,p_1,p_2)
| ~ greek(p_2,p_2,p_1) ),
inference(spm,[status(thm)],[c_0_23,c_0_38]) ).
cnf(c_0_42,plain,
( ~ latin(p_1,p_1,p_2)
| ~ latin(p_2,p_2,p_1) ),
inference(spm,[status(thm)],[c_0_23,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( eq(X1,p_2)
| ~ greek(p_1,p_1,p_2)
| ~ greek(X2,X1,p_1)
| ~ latin(p_1,p_1,p_2)
| ~ latin(X2,X1,p_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_44,plain,
( greek(p_2,p_1,p_1)
| ~ greek(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_16]) ).
cnf(c_0_45,plain,
( latin(p_2,p_1,p_1)
| ~ latin(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_42,c_0_18]) ).
cnf(c_0_46,negated_conjecture,
( ~ greek(p_1,p_1,p_2)
| ~ latin(p_1,p_1,p_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_23]),c_0_45]) ).
cnf(c_0_47,axiom,
( greek(X1,X2,p_1)
| greek(X1,X2,p_2) ),
greek_cell_element ).
cnf(c_0_48,negated_conjecture,
( greek(p_1,p_1,p_1)
| ~ latin(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_49,negated_conjecture,
( eq(X1,p_1)
| ~ greek(X1,p_1,p_1)
| ~ latin(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_26,c_0_48]) ).
cnf(c_0_50,plain,
( greek(p_1,X1,X2)
| eq(X3,X2)
| ~ greek(p_2,X1,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_51,negated_conjecture,
( eq(p_1,X1)
| ~ greek(X1,p_1,p_1)
| ~ latin(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_34,c_0_49]) ).
cnf(c_0_52,plain,
( greek(p_2,p_1,X1)
| greek(p_1,p_2,X2)
| eq(X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_16]) ).
cnf(c_0_53,negated_conjecture,
( ~ greek(p_2,p_1,p_1)
| ~ latin(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_23,c_0_51]) ).
cnf(c_0_54,plain,
( greek(p_1,p_2,p_2)
| greek(p_2,p_1,p_1) ),
inference(spm,[status(thm)],[c_0_23,c_0_52]) ).
cnf(c_0_55,plain,
( latin(p_1,X1,X2)
| eq(X3,X2)
| ~ latin(p_2,X1,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_22]) ).
cnf(c_0_56,negated_conjecture,
( greek(p_1,p_2,p_2)
| ~ latin(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,plain,
( latin(p_2,p_1,X1)
| latin(p_1,p_2,X2)
| eq(X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_18]) ).
cnf(c_0_58,negated_conjecture,
( eq(X1,p_1)
| ~ greek(X1,p_2,p_2)
| ~ latin(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_26,c_0_56]) ).
cnf(c_0_59,plain,
( latin(p_1,p_2,p_2)
| latin(p_2,p_1,p_1) ),
inference(spm,[status(thm)],[c_0_23,c_0_57]) ).
cnf(c_0_60,axiom,
( eq(X2,X4)
| ~ latin(X1,X2,X3)
| ~ latin(X1,X4,X3) ),
latin_column_is_unique ).
cnf(c_0_61,axiom,
( latin(X1,X2,p_1)
| latin(X1,X2,p_2) ),
latin_cell_element ).
cnf(c_0_62,negated_conjecture,
( eq(p_1,X1)
| ~ greek(X1,p_2,p_2)
| ~ latin(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_34,c_0_58]) ).
cnf(c_0_63,plain,
( latin(p_1,p_2,p_2)
| eq(X1,p_2)
| ~ latin(X1,p_1,p_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_59]) ).
cnf(c_0_64,plain,
( latin(X1,X2,p_1)
| eq(X3,X2)
| ~ latin(X1,X3,p_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,negated_conjecture,
( greek(X1,p_1,X2)
| eq(X3,p_2)
| ~ greek(X4,X3,X2)
| ~ latin(X1,p_2,X5)
| ~ latin(X4,X3,X5) ),
inference(spm,[status(thm)],[c_0_37,c_0_16]) ).
cnf(c_0_66,negated_conjecture,
( ~ greek(p_2,p_2,p_2)
| ~ latin(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_23,c_0_62]) ).
cnf(c_0_67,plain,
( latin(p_1,p_2,p_2)
| ~ latin(p_1,p_1,p_1) ),
inference(spm,[status(thm)],[c_0_23,c_0_63]) ).
cnf(c_0_68,plain,
( latin(p_1,p_2,p_2)
| eq(X1,p_1)
| ~ latin(p_2,X1,p_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_59]) ).
cnf(c_0_69,plain,
( latin(p_1,X1,p_2)
| latin(p_2,X2,p_1)
| eq(X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_22]) ).
cnf(c_0_70,negated_conjecture,
( greek(p_1,p_1,X1)
| eq(X2,p_2)
| ~ greek(X3,X2,X1)
| ~ latin(p_1,p_1,p_2)
| ~ latin(X3,X2,p_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_33]) ).
cnf(c_0_71,negated_conjecture,
( greek(p_2,p_1,p_2)
| ~ latin(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_66,c_0_16]) ).
cnf(c_0_72,plain,
( eq(X1,p_1)
| ~ latin(p_1,p_1,p_1)
| ~ latin(X1,p_2,p_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_67]) ).
cnf(c_0_73,plain,
( latin(p_1,p_2,p_2)
| eq(p_1,X1)
| ~ latin(p_2,X1,p_1) ),
inference(spm,[status(thm)],[c_0_34,c_0_68]) ).
cnf(c_0_74,plain,
( latin(p_2,p_2,p_1)
| latin(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_23,c_0_69]) ).
cnf(c_0_75,negated_conjecture,
~ latin(p_1,p_1,p_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_23]),c_0_45]),c_0_46]) ).
cnf(c_0_76,plain,
( eq(p_1,X1)
| ~ latin(p_1,p_1,p_1)
| ~ latin(X1,p_2,p_2) ),
inference(spm,[status(thm)],[c_0_34,c_0_72]) ).
cnf(c_0_77,axiom,
( eq(X2,X4)
| ~ greek(X1,X2,X3)
| ~ greek(X1,X4,X3) ),
greek_column_is_unique ).
cnf(c_0_78,plain,
( latin(p_1,p_2,p_2)
| ~ latin(p_2,p_2,p_1) ),
inference(spm,[status(thm)],[c_0_23,c_0_73]) ).
cnf(c_0_79,plain,
latin(p_2,p_2,p_1),
inference(sr,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,plain,
( ~ latin(p_1,p_1,p_1)
| ~ latin(p_2,p_2,p_2) ),
inference(spm,[status(thm)],[c_0_23,c_0_76]) ).
cnf(c_0_81,plain,
( greek(X1,X2,p_1)
| eq(X3,X2)
| ~ greek(X1,X3,p_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_47]) ).
cnf(c_0_82,plain,
latin(p_1,p_2,p_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]) ).
cnf(c_0_83,plain,
( latin(p_2,p_1,p_2)
| ~ latin(p_1,p_1,p_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_18]) ).
cnf(c_0_84,negated_conjecture,
latin(p_1,p_1,p_1),
inference(spm,[status(thm)],[c_0_75,c_0_61]) ).
cnf(c_0_85,plain,
( greek(p_1,p_2,p_2)
| eq(X1,p_1)
| ~ greek(p_2,X1,p_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_54]) ).
cnf(c_0_86,plain,
( greek(p_1,X1,p_2)
| greek(p_2,X2,p_1)
| eq(X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_20]) ).
cnf(c_0_87,negated_conjecture,
( eq(X1,p_2)
| ~ greek(p_1,p_1,p_2)
| ~ greek(X2,X1,p_1)
| ~ latin(X2,X1,p_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_82]) ).
cnf(c_0_88,plain,
latin(p_2,p_1,p_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).
cnf(c_0_89,plain,
( greek(p_1,p_2,p_2)
| eq(p_1,X1)
| ~ greek(p_2,X1,p_1) ),
inference(spm,[status(thm)],[c_0_34,c_0_85]) ).
cnf(c_0_90,plain,
( greek(p_2,p_2,p_1)
| greek(p_1,p_1,p_2) ),
inference(spm,[status(thm)],[c_0_23,c_0_86]) ).
cnf(c_0_91,negated_conjecture,
~ greek(p_1,p_1,p_2),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_44]),c_0_88])]),c_0_23]) ).
cnf(c_0_92,plain,
( eq(X1,p_2)
| ~ latin(p_1,p_1,p_1)
| ~ latin(p_1,p_2,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_67]) ).
cnf(c_0_93,negated_conjecture,
( greek(p_1,X1,X2)
| eq(X3,X1)
| ~ greek(X4,X3,X2)
| ~ latin(p_2,X1,X5)
| ~ latin(X4,X3,X5) ),
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
cnf(c_0_94,plain,
( greek(p_1,p_2,p_2)
| ~ greek(p_2,p_2,p_1) ),
inference(spm,[status(thm)],[c_0_23,c_0_89]) ).
cnf(c_0_95,plain,
greek(p_2,p_2,p_1),
inference(sr,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_96,plain,
( ~ latin(p_1,p_1,p_1)
| ~ latin(p_1,p_2,p_1) ),
inference(spm,[status(thm)],[c_0_23,c_0_92]) ).
cnf(c_0_97,negated_conjecture,
( greek(p_1,p_1,X1)
| latin(p_1,p_2,p_1)
| eq(X2,p_1)
| ~ greek(X3,X2,X1)
| ~ latin(X3,X2,p_2) ),
inference(spm,[status(thm)],[c_0_93,c_0_29]) ).
cnf(c_0_98,plain,
greek(p_1,p_2,p_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).
cnf(c_0_99,plain,
~ latin(p_1,p_2,p_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_84])]) ).
cnf(c_0_100,negated_conjecture,
eq(p_2,p_1),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_82])]),c_0_91]),c_0_99]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_100]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 14:08:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.65 % Version : CSE_E---1.5
% 0.21/0.65 % Problem : theBenchmark.p
% 0.21/0.65 % Proof found
% 0.21/0.65 % SZS status Theorem for theBenchmark.p
% 0.21/0.65 % SZS output start Proof
% See solution above
% 0.21/0.66 % Total time : 0.069000 s
% 0.21/0.66 % SZS output end Proof
% 0.21/0.66 % Total time : 0.072000 s
%------------------------------------------------------------------------------