TSTP Solution File: GRP129-2.004 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP129-2.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 00:16:57 EDT 2023
% Result : Unsatisfiable 0.55s 0.62s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 30
% Syntax : Number of formulae : 215 ( 43 unt; 9 typ; 0 def)
% Number of atoms : 524 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 502 ( 184 ~; 318 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 5 >; 5 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 104 ( 1 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
e_1: $i ).
tff(decl_23,type,
e_2: $i ).
tff(decl_24,type,
next: ( $i * $i ) > $o ).
tff(decl_25,type,
e_3: $i ).
tff(decl_26,type,
e_4: $i ).
tff(decl_27,type,
greater: ( $i * $i ) > $o ).
tff(decl_28,type,
product: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
group_element: $i > $o ).
tff(decl_30,type,
equalish: ( $i * $i ) > $o ).
cnf(no_redundancy,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_redundancy) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(product_total_function1,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(qg3,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c_0_21,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
no_redundancy ).
cnf(c_0_22,axiom,
greater(e_4,e_2),
e_4_greater_e_2 ).
cnf(c_0_23,axiom,
greater(e_3,e_2),
e_3_greater_e_2 ).
cnf(c_0_24,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1 ).
cnf(c_0_25,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_26,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,axiom,
next(e_1,e_2),
e_1_then_e_2 ).
cnf(c_0_28,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_29,axiom,
greater(e_4,e_3),
e_4_greater_e_3 ).
cnf(c_0_30,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1 ).
cnf(c_0_31,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation ).
cnf(c_0_32,plain,
( product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_35,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_21,c_0_29]) ).
cnf(c_0_36,axiom,
next(e_2,e_3),
e_2_then_e_3 ).
cnf(c_0_37,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation ).
cnf(c_0_38,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_33]),c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X4) ),
qg3 ).
cnf(c_0_41,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_42,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_37]) ).
cnf(c_0_44,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1 ).
cnf(c_0_45,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_46,plain,
( product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_1,X1,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_48,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_41]),c_0_42]) ).
cnf(c_0_49,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_43,c_0_39]) ).
cnf(c_0_50,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_37]) ).
cnf(c_0_51,plain,
( product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_1,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_54,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_50,c_0_39]) ).
cnf(c_0_55,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_51,c_0_25]) ).
cnf(c_0_56,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_48]) ).
cnf(c_0_57,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_43,c_0_53]) ).
cnf(c_0_58,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_54]) ).
cnf(c_0_59,plain,
( product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_41]) ).
cnf(c_0_60,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(X1,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_55]),c_0_40]) ).
cnf(c_0_61,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_48]),c_0_57]) ).
cnf(c_0_62,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_55]) ).
cnf(c_0_63,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_49]) ).
cnf(c_0_64,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_25]) ).
cnf(c_0_65,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1 ).
cnf(c_0_66,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_67,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_61]) ).
cnf(c_0_68,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_31]) ).
cnf(c_0_70,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2 ).
cnf(c_0_71,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_66]) ).
cnf(c_0_72,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_64]),c_0_34]),c_0_68]) ).
cnf(c_0_73,plain,
( product(e_1,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_39]) ).
cnf(c_0_74,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_37]) ).
cnf(c_0_75,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_71,c_0_61]) ).
cnf(c_0_76,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_72]) ).
cnf(c_0_77,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_43,c_0_73]) ).
cnf(c_0_78,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_31]) ).
cnf(c_0_79,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_73]),c_0_42]),c_0_77]) ).
cnf(c_0_81,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_73]) ).
cnf(c_0_82,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_50,c_0_73]) ).
cnf(c_0_83,axiom,
group_element(e_4),
element_4 ).
cnf(c_0_84,plain,
( product(e_1,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_39]) ).
cnf(c_0_85,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_32,c_0_45]) ).
cnf(c_0_86,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3 ).
cnf(c_0_87,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82]) ).
cnf(c_0_88,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_32,c_0_83]) ).
cnf(c_0_89,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_3,e_1,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_84]) ).
cnf(c_0_90,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_85]),c_0_54]) ).
cnf(c_0_91,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_31]) ).
cnf(c_0_92,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_85]) ).
cnf(c_0_94,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_90]) ).
cnf(c_0_95,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2 ).
cnf(c_0_96,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_43]) ).
cnf(c_0_97,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_85]),c_0_94]) ).
cnf(c_0_98,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_41]) ).
cnf(c_0_99,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_43,c_0_61]) ).
cnf(c_0_100,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_31]) ).
cnf(c_0_101,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_102,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_31]) ).
cnf(c_0_103,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_43,c_0_46]) ).
cnf(c_0_104,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2 ).
cnf(c_0_105,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_98]),c_0_99]) ).
cnf(c_0_106,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_107,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_37]) ).
cnf(c_0_108,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_46]),c_0_42]),c_0_103]) ).
cnf(c_0_109,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_104]) ).
cnf(c_0_110,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_50,c_0_46]) ).
cnf(c_0_111,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_105]) ).
cnf(c_0_112,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_106,c_0_61]) ).
cnf(c_0_113,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_61]) ).
cnf(c_0_114,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_70,c_0_104]) ).
cnf(c_0_115,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_72]) ).
cnf(c_0_116,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_43,c_0_97]) ).
cnf(c_0_117,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_108]),c_0_109]),c_0_110]) ).
cnf(c_0_118,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_46]) ).
cnf(c_0_119,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).
cnf(c_0_120,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_61]) ).
cnf(c_0_121,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_105]),c_0_40]),c_0_38]) ).
cnf(c_0_122,negated_conjecture,
( product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_99]),c_0_115]),c_0_38]) ).
cnf(c_0_123,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_86,c_0_104]) ).
cnf(c_0_124,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).
cnf(c_0_125,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_78,c_0_66]) ).
cnf(c_0_126,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_119]),c_0_120]) ).
cnf(c_0_127,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).
cnf(c_0_128,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_45]) ).
cnf(c_0_129,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_75]) ).
cnf(c_0_130,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_124]),c_0_125]),c_0_110]) ).
cnf(c_0_131,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_126]) ).
cnf(c_0_132,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_98,c_0_127]) ).
cnf(c_0_133,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_128]) ).
cnf(c_0_134,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_129,c_0_61]) ).
cnf(c_0_135,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_130]),c_0_108]) ).
cnf(c_0_136,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_121]) ).
cnf(c_0_137,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]) ).
cnf(c_0_138,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_136]) ).
cnf(c_0_139,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_137]) ).
cnf(c_0_140,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_138]) ).
cnf(c_0_141,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_139,c_0_136]) ).
cnf(c_0_142,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_138]) ).
cnf(c_0_143,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_43,c_0_113]) ).
cnf(c_0_144,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_43,c_0_120]) ).
cnf(c_0_145,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_136]) ).
cnf(c_0_146,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_147,plain,
( product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_83]) ).
cnf(c_0_148,negated_conjecture,
( product(e_1,e_2,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_113]),c_0_127]),c_0_143]) ).
cnf(c_0_149,negated_conjecture,
( product(e_1,e_2,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_120]),c_0_127]),c_0_144]) ).
cnf(c_0_150,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_42]) ).
cnf(c_0_151,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_147,c_0_41]) ).
cnf(c_0_152,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_148]),c_0_42]),c_0_143]) ).
cnf(c_0_153,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_51,c_0_41]) ).
cnf(c_0_154,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_149]),c_0_42]),c_0_144]) ).
cnf(c_0_155,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_145,c_0_150]) ).
cnf(c_0_156,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_104]) ).
cnf(c_0_157,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_39]) ).
cnf(c_0_158,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_37]) ).
cnf(c_0_159,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_160,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_161,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_155]),c_0_74]),c_0_156]) ).
cnf(c_0_162,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_37]) ).
cnf(c_0_163,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_157]) ).
cnf(c_0_164,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_147,c_0_25]) ).
cnf(c_0_165,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_157]) ).
cnf(c_0_166,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_157]) ).
cnf(c_0_167,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_168,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_169,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_155]),c_0_162]) ).
cnf(c_0_170,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_171,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_165,c_0_164]) ).
cnf(c_0_172,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_166,c_0_164]) ).
cnf(c_0_173,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]) ).
cnf(c_0_174,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_112]),c_0_171]),c_0_172]) ).
cnf(c_0_175,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,X1,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_173]) ).
cnf(c_0_176,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_84]) ).
cnf(c_0_177,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_84]) ).
cnf(c_0_178,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_155]),c_0_127]) ).
cnf(c_0_179,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_174]) ).
cnf(c_0_180,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_168]) ).
cnf(c_0_181,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_175,c_0_72]) ).
cnf(c_0_182,negated_conjecture,
~ product(e_3,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_112]),c_0_109]),c_0_177]) ).
cnf(c_0_183,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_178]),c_0_42]) ).
cnf(c_0_184,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_179,c_0_173]) ).
cnf(c_0_185,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_1,e_2,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]) ).
cnf(c_0_186,negated_conjecture,
product(e_2,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_183]),c_0_136]) ).
cnf(c_0_187,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_184]) ).
cnf(c_0_188,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_185]),c_0_186])]) ).
cnf(c_0_189,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_184]) ).
cnf(c_0_190,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]) ).
cnf(c_0_191,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_190]) ).
cnf(c_0_192,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_190]) ).
cnf(c_0_193,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_66]) ).
cnf(c_0_194,negated_conjecture,
product(e_2,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_188]),c_0_192]) ).
cnf(c_0_195,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_194])]) ).
cnf(c_0_196,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_195]) ).
cnf(c_0_197,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_137]) ).
cnf(c_0_198,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_196,c_0_61]) ).
cnf(c_0_199,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_194]) ).
cnf(c_0_200,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_42]) ).
cnf(c_0_201,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_202,negated_conjecture,
( product(e_2,X1,e_2)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_186]) ).
cnf(c_0_203,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_201]),c_0_194])]) ).
cnf(c_0_204,negated_conjecture,
product(e_2,e_1,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_161]) ).
cnf(c_0_205,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_204]),c_0_186])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP129-2.004 : TPTP v8.1.2. Released v1.2.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 01:20:13 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.55/0.62 % Version : CSE_E---1.5
% 0.55/0.62 % Problem : theBenchmark.p
% 0.55/0.62 % Proof found
% 0.55/0.62 % SZS status Theorem for theBenchmark.p
% 0.55/0.62 % SZS output start Proof
% See solution above
% 0.57/0.63 % Total time : 0.066000 s
% 0.57/0.63 % SZS output end Proof
% 0.57/0.63 % Total time : 0.069000 s
%------------------------------------------------------------------------------