TSTP Solution File: BOO038-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : BOO038-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 : Wed Aug 30 18:05:56 EDT 2023
% Result : Unsatisfiable 10.99s 11.13s
% Output : CNFRefutation 10.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 7
% Syntax : Number of formulae : 92 ( 84 unt; 5 typ; 0 def)
% Number of atoms : 92 ( 91 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 177 ( 35 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
add: ( $i * $i ) > $i ).
tff(decl_23,type,
inverse: $i > $i ).
tff(decl_24,type,
b: $i ).
tff(decl_25,type,
a: $i ).
tff(decl_26,type,
c: $i ).
cnf(dn1,axiom,
inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,inverse(add(inverse(X3),inverse(add(X3,X4)))))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dn1) ).
cnf(huntinton,negated_conjecture,
( add(b,a) != add(a,b)
| add(add(a,b),c) != add(a,add(b,c))
| add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',huntinton) ).
cnf(c_0_2,axiom,
inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,inverse(add(inverse(X3),inverse(add(X3,X4)))))))) = X3,
dn1 ).
cnf(c_0_3,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X1)),X2)),X1)),X3)),inverse(X1))),X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
inverse(add(inverse(add(X1,inverse(X1))),X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_3,c_0_2]) ).
cnf(c_0_5,plain,
inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(add(X1,X2)))))))) = X1,
inference(spm,[status(thm)],[c_0_2,c_0_4]) ).
cnf(c_0_6,plain,
inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3)))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_5]) ).
cnf(c_0_7,plain,
inverse(add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2)))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_8,plain,
inverse(add(inverse(add(add(X1,inverse(X1)),X1)),inverse(X1))) = X1,
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_9,plain,
inverse(add(X1,inverse(add(add(X1,inverse(X1)),inverse(X1))))) = inverse(X1),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_10,plain,
inverse(add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2)))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
cnf(c_0_11,plain,
inverse(add(X1,inverse(add(inverse(X2),inverse(add(X2,X1)))))) = inverse(add(X2,X1)),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
cnf(c_0_12,plain,
inverse(add(X1,inverse(inverse(X1)))) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_11]),c_0_11]) ).
cnf(c_0_13,plain,
inverse(add(inverse(add(X1,inverse(inverse(inverse(X1))))),inverse(inverse(X1)))) = inverse(inverse(inverse(X1))),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_14,plain,
inverse(add(inverse(inverse(inverse(X1))),inverse(X1))) = inverse(inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_13]),c_0_12]) ).
cnf(c_0_15,plain,
inverse(add(inverse(inverse(X1)),X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_14,c_0_2]) ).
cnf(c_0_16,plain,
inverse(add(inverse(X1),inverse(add(X1,X1)))) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_17,plain,
inverse(add(inverse(add(inverse(X1),X1)),inverse(X1))) = X1,
inference(spm,[status(thm)],[c_0_7,c_0_15]) ).
cnf(c_0_18,plain,
inverse(add(inverse(add(X1,inverse(add(X1,X1)))),X1)) = inverse(add(X1,X1)),
inference(spm,[status(thm)],[c_0_7,c_0_16]) ).
cnf(c_0_19,plain,
inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(X1))))))) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_9]) ).
cnf(c_0_20,plain,
inverse(add(X1,inverse(add(inverse(X1),inverse(X1))))) = inverse(X1),
inference(spm,[status(thm)],[c_0_6,c_0_17]) ).
cnf(c_0_21,plain,
inverse(add(inverse(add(X1,X1)),inverse(add(X1,X1)))) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_18]) ).
cnf(c_0_22,plain,
inverse(add(inverse(X1),inverse(X1))) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
add(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,plain,
inverse(add(inverse(add(inverse(add(X1,X2)),X1)),inverse(X1))) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_23]) ).
cnf(c_0_25,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
inverse(add(X1,add(X2,X1))) = inverse(add(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_6]),c_0_25]) ).
cnf(c_0_27,plain,
add(X1,add(X2,X1)) = add(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_26]),c_0_23]),c_0_26]),c_0_23]),c_0_25]) ).
cnf(c_0_28,plain,
add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2))) = inverse(X2),
inference(spm,[status(thm)],[c_0_25,c_0_10]) ).
cnf(c_0_29,plain,
add(inverse(add(X1,X2)),inverse(X2)) = inverse(X2),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,plain,
add(inverse(add(X1,inverse(X2))),X2) = X2,
inference(spm,[status(thm)],[c_0_29,c_0_25]) ).
cnf(c_0_31,plain,
inverse(add(add(inverse(X1),inverse(add(X1,X1))),inverse(X1))) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_32,plain,
inverse(add(inverse(X1),inverse(add(X2,X1)))) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_30]) ).
cnf(c_0_33,plain,
add(X1,inverse(add(inverse(X2),inverse(add(X2,X1))))) = add(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_11]),c_0_25]) ).
cnf(c_0_34,plain,
add(inverse(X1),inverse(add(X2,X1))) = inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_23]),c_0_32]),c_0_23]),c_0_23]) ).
cnf(c_0_35,plain,
inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X3,X1)))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_33]) ).
cnf(c_0_36,plain,
add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3))) = inverse(X3),
inference(spm,[status(thm)],[c_0_25,c_0_6]) ).
cnf(c_0_37,plain,
add(add(X1,X2),X2) = add(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_34]),c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_38,plain,
inverse(add(inverse(X1),inverse(add(X1,X2)))) = X1,
inference(spm,[status(thm)],[c_0_35,c_0_30]) ).
cnf(c_0_39,plain,
add(inverse(add(X1,X2)),inverse(add(inverse(add(X1,X3)),X2))) = inverse(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_36]),c_0_25]),c_0_25]),c_0_37]) ).
cnf(c_0_40,plain,
add(X1,X2) = add(X2,X1),
inference(rw,[status(thm)],[c_0_33,c_0_38]) ).
cnf(c_0_41,plain,
add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2))) = inverse(X2),
inference(spm,[status(thm)],[c_0_25,c_0_7]) ).
cnf(c_0_42,plain,
add(inverse(X1),inverse(add(X1,X2))) = inverse(X1),
inference(spm,[status(thm)],[c_0_25,c_0_38]) ).
cnf(c_0_43,plain,
add(X1,inverse(add(X2,inverse(add(inverse(add(X2,X3)),X1))))) = add(inverse(add(X2,X3)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_39]),c_0_25]),c_0_25]),c_0_40]) ).
cnf(c_0_44,plain,
add(inverse(add(X1,X2)),inverse(add(inverse(add(X3,X1)),X2))) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_41]),c_0_25]) ).
cnf(c_0_45,plain,
add(X1,inverse(add(inverse(add(inverse(X1),X2)),inverse(add(X1,X3))))) = add(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_42]),c_0_25]),c_0_25]) ).
cnf(c_0_46,plain,
add(X1,inverse(add(X2,inverse(add(X2,X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_25]),c_0_23]),c_0_40]),c_0_40]) ).
cnf(c_0_47,plain,
add(X1,inverse(add(inverse(X1),X2))) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_25]) ).
cnf(c_0_48,plain,
add(X1,add(inverse(X1),X2)) = add(X1,inverse(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_25]),c_0_47]) ).
cnf(c_0_49,plain,
add(X1,inverse(add(X2,inverse(add(inverse(X2),X1))))) = add(inverse(X2),X1),
inference(spm,[status(thm)],[c_0_33,c_0_25]) ).
cnf(c_0_50,plain,
add(X1,inverse(add(X2,inverse(X1)))) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_25]) ).
cnf(c_0_51,plain,
add(inverse(add(X1,X2)),inverse(add(X2,inverse(add(X1,X3))))) = inverse(X2),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_52,plain,
add(inverse(X1),add(X1,X2)) = add(X1,inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_25]),c_0_40]) ).
cnf(c_0_53,plain,
add(inverse(add(X1,X2)),inverse(add(inverse(add(X2,X3)),X1))) = inverse(X1),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_54,plain,
add(add(X1,X2),inverse(X1)) = add(X1,inverse(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_48]),c_0_25]),c_0_25]),c_0_40]),c_0_50]),c_0_25]),c_0_40]) ).
cnf(c_0_55,plain,
add(X1,inverse(add(X1,inverse(add(X2,X1))))) = add(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_34]),c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_56,plain,
add(X1,inverse(add(inverse(add(X2,X3)),inverse(add(X3,X1))))) = add(X3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_44]),c_0_25]),c_0_40]),c_0_25]) ).
cnf(c_0_57,plain,
add(add(X1,X2),inverse(add(X1,X2))) = add(X1,inverse(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_25]),c_0_54]),c_0_25]),c_0_40]) ).
cnf(c_0_58,plain,
add(inverse(X1),X1) = add(X1,inverse(X1)),
inference(spm,[status(thm)],[c_0_55,c_0_38]) ).
cnf(c_0_59,plain,
inverse(add(X1,inverse(add(inverse(add(X2,X3)),inverse(add(inverse(inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X4))))))),inverse(add(inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X4)))))),X5)))))))) = inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X4)))))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_60,plain,
add(inverse(add(X1,X2)),inverse(add(X2,X1))) = inverse(add(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_56]),c_0_23]) ).
cnf(c_0_61,plain,
add(X1,inverse(X1)) = add(X2,inverse(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_41]),c_0_25]),c_0_58]),c_0_25]),c_0_40]),c_0_57]) ).
cnf(c_0_62,plain,
inverse(add(inverse(add(X1,inverse(add(X2,X3)))),inverse(add(X2,inverse(add(inverse(add(X1,X4)),inverse(add(X1,inverse(add(X2,X3)))))))))) = inverse(add(inverse(add(X1,X4)),inverse(add(X1,inverse(add(X2,X3)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_59]),c_0_25]),c_0_47]),c_0_25]),c_0_47]),c_0_25]),c_0_25]),c_0_47]),c_0_47]),c_0_25]),c_0_25]),c_0_47]),c_0_25]),c_0_25]),c_0_47]),c_0_47]),c_0_47]),c_0_25]),c_0_47]),c_0_25]),c_0_25]),c_0_47]),c_0_47]) ).
cnf(c_0_63,plain,
add(add(X1,X2),inverse(add(X2,X1))) = add(b,inverse(b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_60]),c_0_25]),c_0_25]),c_0_40]),c_0_61]) ).
cnf(c_0_64,plain,
add(X1,inverse(add(X2,inverse(X2)))) = X1,
inference(spm,[status(thm)],[c_0_47,c_0_61]) ).
cnf(c_0_65,plain,
add(inverse(add(X1,inverse(X1))),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_61]),c_0_23]),c_0_25]),c_0_25]) ).
cnf(c_0_66,plain,
add(X1,add(add(X2,X1),X3)) = add(add(X2,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_25]),c_0_65]),c_0_25]),c_0_64]),c_0_25]) ).
cnf(c_0_67,plain,
add(X1,inverse(add(add(X2,inverse(X1)),X3))) = X1,
inference(spm,[status(thm)],[c_0_47,c_0_66]) ).
cnf(c_0_68,plain,
add(X1,inverse(add(add(X2,X1),inverse(add(inverse(X2),X1))))) = add(inverse(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_41]),c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_69,plain,
add(add(X1,X2),inverse(add(inverse(X1),X3))) = add(X1,X2),
inference(spm,[status(thm)],[c_0_67,c_0_42]) ).
cnf(c_0_70,plain,
add(X1,inverse(add(X2,X1))) = add(inverse(X2),X1),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_71,plain,
add(inverse(add(X1,X2)),add(inverse(add(X1,X3)),X2)) = add(inverse(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_2]),c_0_38]),c_0_40]),c_0_70]),c_0_25]),c_0_38]),c_0_40]) ).
cnf(c_0_72,plain,
add(inverse(X1),add(inverse(add(X1,X2)),X3)) = add(inverse(X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_71]),c_0_47]),c_0_40]) ).
cnf(c_0_73,plain,
add(add(X1,X2),add(X1,X3)) = add(add(X1,X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_53]),c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_74,negated_conjecture,
( add(b,a) != add(a,b)
| add(add(a,b),c) != add(a,add(b,c))
| add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != a ),
huntinton ).
cnf(c_0_75,plain,
add(add(X1,X2),X3) = add(add(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_73]),c_0_73]) ).
cnf(c_0_76,negated_conjecture,
( add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))) != a
| add(c,add(a,b)) != add(a,add(b,c)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_40]),c_0_40]),c_0_40])]) ).
cnf(c_0_77,plain,
add(inverse(add(X1,X2)),inverse(add(X2,inverse(X1)))) = inverse(X2),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_78,plain,
add(add(X1,X2),X3) = add(X2,add(X1,X3)),
inference(spm,[status(thm)],[c_0_40,c_0_75]) ).
cnf(c_0_79,plain,
add(X1,add(add(X1,X2),X3)) = add(add(X1,X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_61]),c_0_64]),c_0_25]),c_0_65]),c_0_25]),c_0_64]),c_0_25]) ).
cnf(c_0_80,negated_conjecture,
add(c,add(a,b)) != add(a,add(b,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77]),c_0_25])]) ).
cnf(c_0_81,plain,
add(X1,add(X2,X3)) = add(X3,add(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_78]),c_0_78]) ).
cnf(c_0_82,plain,
add(add(X1,X2),add(X2,X3)) = add(add(X1,X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_41]),c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_83,plain,
add(X1,add(X2,add(X1,X3))) = add(X2,add(X1,X3)),
inference(spm,[status(thm)],[c_0_79,c_0_55]) ).
cnf(c_0_84,negated_conjecture,
add(b,add(a,c)) != add(a,add(b,c)),
inference(rw,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_85,plain,
add(X1,add(X2,X3)) = add(X2,add(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_78]),c_0_78]),c_0_83]) ).
cnf(c_0_86,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO038-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.17/0.34 % Computer : n019.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sun Aug 27 08:18:13 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.20/0.54 start to proof: theBenchmark
% 10.99/11.13 % Version : CSE_E---1.5
% 10.99/11.13 % Problem : theBenchmark.p
% 10.99/11.13 % Proof found
% 10.99/11.13 % SZS status Theorem for theBenchmark.p
% 10.99/11.13 % SZS output start Proof
% See solution above
% 10.99/11.14 % Total time : 10.567000 s
% 10.99/11.14 % SZS output end Proof
% 10.99/11.14 % Total time : 10.571000 s
%------------------------------------------------------------------------------