TSTP Solution File: MSC008-2.002 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MSC008-2.002 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 09:21:03 EDT 2023
% Result : Unsatisfiable 0.21s 0.66s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 86 ( 5 unt; 5 typ; 0 def)
% Number of atoms : 225 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 252 ( 108 ~; 144 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 132 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p1: $i ).
tff(decl_23,type,
p2: $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(latin_column_is_unique,axiom,
( eq(X4,X2)
| ~ latin(X1,X2,X3)
| ~ latin(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_is_unique) ).
cnf(latin_cell_element,axiom,
( latin(X1,X2,p1)
| latin(X1,X2,p2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_cell_element) ).
cnf(greek_element_is_unique,axiom,
( eq(X4,X3)
| ~ greek(X1,X2,X3)
| ~ greek(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_element_is_unique) ).
cnf(greek_row_required,axiom,
( greek(p1,X1,X2)
| greek(p2,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_required) ).
cnf(greek_column_required,axiom,
( greek(X1,p1,X2)
| greek(X1,p2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_required) ).
cnf(latin_row_required,axiom,
( latin(p1,X1,X2)
| latin(p2,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_required) ).
cnf(p1_is_not_p2,axiom,
~ eq(p1,p2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1_is_not_p2) ).
cnf(latin_element_is_unique,axiom,
( eq(X4,X3)
| ~ latin(X1,X2,X3)
| ~ latin(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_element_is_unique) ).
cnf(latin_row_is_unique,axiom,
( eq(X4,X1)
| ~ latin(X1,X2,X3)
| ~ latin(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_is_unique) ).
cnf(latin_column_required,axiom,
( latin(X1,p1,X2)
| latin(X1,p2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_required) ).
cnf(greek_row_is_unique,axiom,
( eq(X4,X1)
| ~ greek(X1,X2,X3)
| ~ greek(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_is_unique) ).
cnf(symmetry,axiom,
( eq(X2,X1)
| ~ eq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
cnf(no_two_same,negated_conjecture,
( eq(X6,X2)
| eq(X5,X1)
| ~ greek(X1,X2,X3)
| ~ latin(X1,X2,X4)
| ~ greek(X5,X6,X3)
| ~ latin(X5,X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_same) ).
cnf(greek_cell_element,axiom,
( greek(X1,X2,p1)
| greek(X1,X2,p2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_cell_element) ).
cnf(c_0_14,axiom,
( eq(X4,X2)
| ~ latin(X1,X2,X3)
| ~ latin(X1,X4,X3) ),
latin_column_is_unique ).
cnf(c_0_15,axiom,
( latin(X1,X2,p1)
| latin(X1,X2,p2) ),
latin_cell_element ).
cnf(c_0_16,axiom,
( eq(X4,X3)
| ~ greek(X1,X2,X3)
| ~ greek(X1,X2,X4) ),
greek_element_is_unique ).
cnf(c_0_17,axiom,
( greek(p1,X1,X2)
| greek(p2,X1,X2) ),
greek_row_required ).
cnf(c_0_18,axiom,
( greek(X1,p1,X2)
| greek(X1,p2,X2) ),
greek_column_required ).
cnf(c_0_19,plain,
( latin(X1,X2,p1)
| eq(X2,X3)
| ~ latin(X1,X3,p2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,axiom,
( latin(p1,X1,X2)
| latin(p2,X1,X2) ),
latin_row_required ).
cnf(c_0_21,plain,
( greek(p1,X1,X2)
| eq(X2,X3)
| ~ greek(p2,X1,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( greek(X1,p1,X2)
| eq(X2,X3)
| ~ greek(X1,p2,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_18]) ).
cnf(c_0_23,axiom,
~ eq(p1,p2),
p1_is_not_p2 ).
cnf(c_0_24,plain,
( latin(p1,X1,p2)
| latin(p2,X2,p1)
| eq(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,axiom,
( eq(X4,X3)
| ~ latin(X1,X2,X3)
| ~ latin(X1,X2,X4) ),
latin_element_is_unique ).
cnf(c_0_26,plain,
( greek(p2,p1,X1)
| greek(p1,p2,X2)
| eq(X2,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_27,plain,
( greek(p1,p2,X1)
| greek(p2,p1,X2)
| eq(X2,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_28,axiom,
( eq(X4,X1)
| ~ latin(X1,X2,X3)
| ~ latin(X4,X2,X3) ),
latin_row_is_unique ).
cnf(c_0_29,plain,
( latin(p2,p1,p1)
| latin(p1,p2,p2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( latin(p1,X1,X2)
| eq(X2,X3)
| ~ latin(p2,X1,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_20]) ).
cnf(c_0_31,axiom,
( latin(X1,p1,X2)
| latin(X1,p2,X2) ),
latin_column_required ).
cnf(c_0_32,axiom,
( eq(X4,X1)
| ~ greek(X1,X2,X3)
| ~ greek(X4,X2,X3) ),
greek_row_is_unique ).
cnf(c_0_33,plain,
( greek(p1,p2,p1)
| greek(p2,p1,p2) ),
inference(spm,[status(thm)],[c_0_23,c_0_26]) ).
cnf(c_0_34,plain,
( greek(p2,p1,p1)
| greek(p1,p2,p2) ),
inference(spm,[status(thm)],[c_0_23,c_0_27]) ).
cnf(c_0_35,axiom,
( eq(X2,X1)
| ~ eq(X1,X2) ),
symmetry ).
cnf(c_0_36,plain,
( latin(p1,p2,p2)
| eq(p2,X1)
| ~ latin(X1,p1,p1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_37,plain,
( latin(p2,p1,X1)
| latin(p1,p2,X2)
| eq(X2,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( greek(p1,p2,p1)
| eq(p2,X1)
| ~ greek(X1,p1,p2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
( greek(p1,p2,p2)
| eq(p2,X1)
| ~ greek(X1,p1,p1) ),
inference(spm,[status(thm)],[c_0_32,c_0_34]) ).
cnf(c_0_40,plain,
( latin(p1,p2,p2)
| eq(X1,p2)
| ~ latin(X1,p1,p1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
( latin(p1,p2,p1)
| latin(p2,p1,p2) ),
inference(spm,[status(thm)],[c_0_23,c_0_37]) ).
cnf(c_0_42,plain,
( greek(p1,p2,p1)
| eq(X1,p2)
| ~ greek(X1,p1,p2) ),
inference(spm,[status(thm)],[c_0_35,c_0_38]) ).
cnf(c_0_43,plain,
( greek(p1,p2,p2)
| eq(X1,p2)
| ~ greek(X1,p1,p1) ),
inference(spm,[status(thm)],[c_0_35,c_0_39]) ).
cnf(c_0_44,plain,
( latin(p1,p2,p2)
| ~ latin(p1,p1,p1) ),
inference(spm,[status(thm)],[c_0_23,c_0_40]) ).
cnf(c_0_45,plain,
( latin(p1,p2,p1)
| eq(p2,X1)
| ~ latin(X1,p1,p2) ),
inference(spm,[status(thm)],[c_0_28,c_0_41]) ).
cnf(c_0_46,plain,
( greek(p1,p2,p1)
| ~ greek(p1,p1,p2) ),
inference(spm,[status(thm)],[c_0_23,c_0_42]) ).
cnf(c_0_47,plain,
( greek(p1,p2,p2)
| ~ greek(p1,p1,p1) ),
inference(spm,[status(thm)],[c_0_23,c_0_43]) ).
cnf(c_0_48,plain,
( eq(p1,X1)
| ~ latin(p1,p1,p1)
| ~ latin(X1,p2,p2) ),
inference(spm,[status(thm)],[c_0_28,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( eq(X6,X2)
| eq(X5,X1)
| ~ greek(X1,X2,X3)
| ~ latin(X1,X2,X4)
| ~ greek(X5,X6,X3)
| ~ latin(X5,X6,X4) ),
no_two_same ).
cnf(c_0_50,plain,
( latin(p1,p2,p1)
| eq(X1,p2)
| ~ latin(X1,p1,p2) ),
inference(spm,[status(thm)],[c_0_35,c_0_45]) ).
cnf(c_0_51,plain,
( eq(p1,X1)
| ~ greek(p1,p1,p2)
| ~ greek(X1,p2,p1) ),
inference(spm,[status(thm)],[c_0_32,c_0_46]) ).
cnf(c_0_52,plain,
( eq(p1,X1)
| ~ greek(p1,p1,p1)
| ~ greek(X1,p2,p2) ),
inference(spm,[status(thm)],[c_0_32,c_0_47]) ).
cnf(c_0_53,plain,
( ~ latin(p1,p1,p1)
| ~ latin(p2,p2,p2) ),
inference(spm,[status(thm)],[c_0_23,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
( eq(p1,X1)
| eq(p2,X2)
| ~ greek(p1,p1,p2)
| ~ greek(X1,X2,p1)
| ~ latin(p1,p2,X3)
| ~ latin(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_46]) ).
cnf(c_0_55,plain,
( latin(p1,p2,p1)
| ~ latin(p1,p1,p2) ),
inference(spm,[status(thm)],[c_0_23,c_0_50]) ).
cnf(c_0_56,plain,
( ~ greek(p1,p1,p2)
| ~ greek(p2,p2,p1) ),
inference(spm,[status(thm)],[c_0_23,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
( eq(p1,X1)
| eq(p2,X2)
| ~ greek(p1,p1,p1)
| ~ greek(X1,X2,p2)
| ~ latin(p1,p2,X3)
| ~ latin(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_47]) ).
cnf(c_0_58,plain,
( ~ greek(p1,p1,p1)
| ~ greek(p2,p2,p2) ),
inference(spm,[status(thm)],[c_0_23,c_0_52]) ).
cnf(c_0_59,plain,
( latin(X1,p1,X2)
| eq(X2,X3)
| ~ latin(X1,p2,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_31]) ).
cnf(c_0_60,plain,
( latin(p2,p2,p1)
| ~ latin(p1,p1,p1) ),
inference(spm,[status(thm)],[c_0_53,c_0_15]) ).
cnf(c_0_61,negated_conjecture,
( eq(p2,X1)
| eq(p1,X2)
| ~ greek(p1,p1,p2)
| ~ greek(X2,X1,p1)
| ~ latin(p1,p1,p2)
| ~ latin(X2,X1,p1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,plain,
( greek(p2,p1,p1)
| ~ greek(p1,p1,p2) ),
inference(spm,[status(thm)],[c_0_56,c_0_18]) ).
cnf(c_0_63,plain,
( latin(X1,X2,p1)
| eq(X1,X3)
| ~ latin(X3,X2,p2) ),
inference(spm,[status(thm)],[c_0_28,c_0_15]) ).
cnf(c_0_64,negated_conjecture,
( eq(p2,X1)
| eq(p1,X2)
| ~ greek(p1,p1,p1)
| ~ greek(X2,X1,p2)
| ~ latin(p1,p1,p2)
| ~ latin(X2,X1,p1) ),
inference(spm,[status(thm)],[c_0_57,c_0_55]) ).
cnf(c_0_65,plain,
( greek(p2,p1,p2)
| ~ greek(p1,p1,p1) ),
inference(spm,[status(thm)],[c_0_58,c_0_18]) ).
cnf(c_0_66,negated_conjecture,
( eq(p2,X1)
| eq(p1,X2)
| ~ greek(p1,p1,p2)
| ~ greek(X2,X1,p1)
| ~ latin(p1,p1,p1)
| ~ latin(X2,X1,p2) ),
inference(spm,[status(thm)],[c_0_54,c_0_44]) ).
cnf(c_0_67,plain,
( latin(p2,p1,X1)
| eq(X1,p1)
| ~ latin(p1,p1,p1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,negated_conjecture,
( eq(p2,X1)
| eq(p1,X2)
| ~ greek(p1,p1,p1)
| ~ greek(X2,X1,p2)
| ~ latin(p1,p1,p1)
| ~ latin(X2,X1,p2) ),
inference(spm,[status(thm)],[c_0_57,c_0_44]) ).
cnf(c_0_69,negated_conjecture,
( eq(p2,p1)
| ~ greek(p1,p1,p2)
| ~ latin(p1,p1,p2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_23]),c_0_63]) ).
cnf(c_0_70,negated_conjecture,
( eq(p2,p1)
| ~ greek(p1,p1,p1)
| ~ latin(p1,p1,p2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_23]),c_0_63]) ).
cnf(c_0_71,negated_conjecture,
( eq(p2,p1)
| ~ greek(p1,p1,p2)
| ~ latin(p1,p1,p1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_62]),c_0_23]),c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( eq(p2,p1)
| ~ greek(p1,p1,p1)
| ~ latin(p1,p1,p1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_65]),c_0_23]),c_0_67]) ).
cnf(c_0_73,negated_conjecture,
( ~ greek(p1,p1,p2)
| ~ latin(p1,p1,p2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_69]),c_0_23]) ).
cnf(c_0_74,axiom,
( greek(X1,X2,p1)
| greek(X1,X2,p2) ),
greek_cell_element ).
cnf(c_0_75,negated_conjecture,
( ~ greek(p1,p1,p1)
| ~ latin(p1,p1,p2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_70]),c_0_23]) ).
cnf(c_0_76,negated_conjecture,
( ~ greek(p1,p1,p2)
| ~ latin(p1,p1,p1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_71]),c_0_23]) ).
cnf(c_0_77,negated_conjecture,
( ~ greek(p1,p1,p1)
| ~ latin(p1,p1,p1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_72]),c_0_23]) ).
cnf(c_0_78,negated_conjecture,
~ latin(p1,p1,p2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_79,negated_conjecture,
~ latin(p1,p1,p1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_74]),c_0_77]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_15]),c_0_79]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MSC008-2.002 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 14:04:46 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 0.21/0.66 % Version : CSE_E---1.5
% 0.21/0.66 % Problem : theBenchmark.p
% 0.21/0.66 % Proof found
% 0.21/0.66 % SZS status Theorem for theBenchmark.p
% 0.21/0.66 % SZS output start Proof
% See solution above
% 0.21/0.66 % Total time : 0.061000 s
% 0.21/0.66 % SZS output end Proof
% 0.21/0.66 % Total time : 0.063000 s
%------------------------------------------------------------------------------