TSTP Solution File: LAT392-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT392-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 06:02:26 EDT 2023
% Result : Unsatisfiable 0.21s 0.88s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 7
% Syntax : Number of formulae : 71 ( 66 unt; 5 typ; 0 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 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 : 180 ( 58 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
plus: ( $i * $i ) > $i ).
tff(decl_23,type,
mult: ( $i * $i ) > $i ).
tff(decl_24,type,
a: $i ).
tff(decl_25,type,
b: $i ).
tff(decl_26,type,
c: $i ).
cnf(sos,axiom,
mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3),plus(mult(plus(X1,mult(mult(plus(X4,X2),plus(X2,X5)),X2)),plus(mult(plus(X2,plus(plus(mult(X4,mult(X2,X5)),mult(X6,X2)),X2)),plus(X7,mult(X2,plus(plus(mult(X2,X8),mult(X6,X2)),X2)))),mult(X1,mult(mult(plus(X4,X2),plus(X2,X5)),X2)))),mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
cnf(goals,negated_conjecture,
plus(plus(mult(a,b),mult(b,c)),b) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c_0_2,axiom,
mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3),plus(mult(plus(X1,mult(mult(plus(X4,X2),plus(X2,X5)),X2)),plus(mult(plus(X2,plus(plus(mult(X4,mult(X2,X5)),mult(X6,X2)),X2)),plus(X7,mult(X2,plus(plus(mult(X2,X8),mult(X6,X2)),X2)))),mult(X1,mult(mult(plus(X4,X2),plus(X2,X5)),X2)))),mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3))) = X2,
sos ).
cnf(c_0_3,plain,
mult(plus(mult(plus(X1,mult(plus(X2,X3),plus(X3,mult(X2,X3)))),plus(mult(plus(X2,X3),plus(X3,mult(X2,X3))),mult(X1,mult(plus(X2,X3),plus(X3,mult(X2,X3)))))),X4),plus(mult(plus(X1,mult(mult(plus(mult(plus(X2,X3),plus(X3,mult(X2,X3))),mult(plus(X2,X3),plus(X3,mult(X2,X3)))),plus(mult(plus(X2,X3),plus(X3,mult(X2,X3))),X5)),mult(plus(X2,X3),plus(X3,mult(X2,X3))))),plus(X3,mult(X1,mult(mult(plus(mult(plus(X2,X3),plus(X3,mult(X2,X3))),mult(plus(X2,X3),plus(X3,mult(X2,X3)))),plus(mult(plus(X2,X3),plus(X3,mult(X2,X3))),X5)),mult(plus(X2,X3),plus(X3,mult(X2,X3))))))),mult(mult(plus(X1,mult(plus(X2,X3),plus(X3,mult(X2,X3)))),plus(mult(plus(X2,X3),plus(X3,mult(X2,X3))),mult(X1,mult(plus(X2,X3),plus(X3,mult(X2,X3)))))),X4))) = mult(plus(X2,X3),plus(X3,mult(X2,X3))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3),plus(mult(plus(X1,mult(mult(plus(X2,X2),plus(X2,X4)),X2)),plus(mult(plus(X5,mult(mult(plus(X6,X2),plus(X2,X7)),X2)),plus(mult(plus(X2,plus(plus(mult(X6,mult(X2,X7)),mult(X8,X2)),X2)),plus(X9,mult(X2,plus(plus(mult(X2,X10),mult(X8,X2)),X2)))),mult(X5,mult(mult(plus(X6,X2),plus(X2,X7)),X2)))),mult(X1,mult(mult(plus(X2,X2),plus(X2,X4)),X2)))),mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_2]) ).
cnf(c_0_5,plain,
mult(plus(mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X2),plus(X2,mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X2))),X3),plus(X2,mult(mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X2),plus(X2,mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_2]) ).
cnf(c_0_6,plain,
mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3),plus(mult(plus(X1,mult(mult(plus(X2,X2),plus(X2,X4)),X2)),plus(X2,mult(X1,mult(mult(plus(X2,X2),plus(X2,X4)),X2)))),mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_5]) ).
cnf(c_0_7,plain,
mult(plus(X1,X2),plus(X1,mult(X1,X2))) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_8,plain,
mult(plus(X1,mult(mult(plus(X2,X2),plus(X2,X3)),X2)),plus(X2,mult(X1,mult(mult(plus(X2,X2),plus(X2,X3)),X2)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_6]),c_0_6]),c_0_6]),c_0_7]) ).
cnf(c_0_9,plain,
mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3),plus(X2,mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_10,plain,
mult(plus(X1,mult(mult(plus(X2,X3),plus(X3,X4)),X3)),plus(mult(plus(X3,plus(plus(mult(X2,mult(X3,X4)),mult(X5,X3)),X3)),plus(X6,mult(X3,plus(plus(mult(X3,X7),mult(X5,X3)),X3)))),mult(X1,mult(mult(plus(X2,X3),plus(X3,X4)),X3)))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_2]),c_0_2]),c_0_7]) ).
cnf(c_0_11,plain,
mult(plus(X1,plus(plus(mult(X2,mult(X1,X3)),mult(X4,X1)),X1)),plus(X5,mult(X1,plus(plus(mult(X1,X6),mult(X4,X1)),X1)))) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
mult(plus(X1,X2),plus(X2,mult(X1,X2))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_11]) ).
cnf(c_0_13,plain,
plus(plus(mult(X1,mult(X1,X2)),mult(X3,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
mult(plus(X1,X1),plus(X2,mult(X1,plus(plus(mult(X1,X3),mult(X4,X1)),X1)))) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_15,plain,
mult(plus(X1,mult(X2,X2)),plus(X2,mult(X1,mult(X2,X2)))) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_16,plain,
mult(plus(X1,X1),plus(X2,mult(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_17,plain,
mult(X1,plus(X1,mult(plus(mult(X1,mult(X1,X2)),mult(X3,X1)),X1))) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
mult(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
mult(X1,plus(X1,mult(plus(mult(X1,X1),mult(X2,X1)),X1))) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_17]) ).
cnf(c_0_20,plain,
plus(plus(X1,mult(X2,X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_18]) ).
cnf(c_0_21,plain,
plus(X1,X1) = X1,
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_6,c_0_18]),c_0_12]),c_0_12]),c_0_8]),c_0_12]),c_0_18]) ).
cnf(c_0_22,plain,
mult(plus(plus(X1,X2),plus(X1,mult(X1,X2))),plus(plus(X1,X2),X1)) = plus(X1,X2),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_23,plain,
mult(X1,plus(X1,mult(plus(X1,mult(X2,X1)),X1))) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_24,plain,
plus(X1,plus(X1,mult(X2,X1))) = plus(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_15]),c_0_18]),c_0_20]),c_0_18]),c_0_18]) ).
cnf(c_0_25,plain,
mult(X1,plus(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_21]),c_0_18]) ).
cnf(c_0_26,plain,
plus(X1,mult(plus(X1,mult(X2,X1)),X1)) = 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_21]),c_0_20]),c_0_24]),c_0_20]),c_0_18]),c_0_24]) ).
cnf(c_0_27,plain,
mult(plus(X1,plus(X2,X1)),plus(plus(X2,X1),X1)) = plus(X2,X1),
inference(spm,[status(thm)],[c_0_12,c_0_25]) ).
cnf(c_0_28,plain,
mult(plus(X1,plus(plus(mult(X2,mult(X1,X3)),X1),X1)),plus(X4,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_21]),c_0_18]),c_0_18]),c_0_21]),c_0_18]) ).
cnf(c_0_29,plain,
plus(plus(X1,X2),mult(plus(plus(X1,X2),X2),plus(X1,X2))) = plus(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_11]),c_0_25]),c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_30,plain,
plus(plus(mult(X1,mult(X2,X3)),X2),X2) = X2,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
plus(mult(X1,mult(X2,X3)),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_25]),c_0_30]) ).
cnf(c_0_32,plain,
mult(plus(X1,plus(X2,X1)),X1) = X1,
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_6,c_0_25]),c_0_12]),c_0_12]),c_0_8]),c_0_12]),c_0_21]) ).
cnf(c_0_33,plain,
plus(mult(X1,X2),plus(X2,X3)) = plus(X2,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_2]),c_0_12]),c_0_12]) ).
cnf(c_0_34,plain,
plus(mult(X1,X2),X1) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
mult(plus(plus(plus(X1,mult(X2,X2)),plus(X2,mult(X1,mult(X2,X2)))),plus(plus(X1,mult(X2,X2)),X2)),plus(plus(plus(X1,mult(X2,X2)),plus(X2,mult(X1,mult(X2,X2)))),plus(X1,mult(X2,X2)))) = plus(plus(X1,mult(X2,X2)),plus(X2,mult(X1,mult(X2,X2)))),
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_36,plain,
plus(X1,plus(plus(X1,mult(X2,X1)),X3)) = plus(plus(X1,mult(X2,X1)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_15]),c_0_18]),c_0_18]) ).
cnf(c_0_37,plain,
mult(plus(X1,X2),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_34]),c_0_8]),c_0_12]),c_0_25]),c_0_21]) ).
cnf(c_0_38,plain,
plus(X1,mult(mult(X1,X2),X1)) = 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(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_35,c_0_34]),c_0_18]),c_0_18]),c_0_18]),c_0_24]),c_0_18]),c_0_21]),c_0_20]),c_0_18]),c_0_18]),c_0_18]),c_0_24]),c_0_18]),c_0_20]),c_0_18]),c_0_18]),c_0_18]),c_0_18]),c_0_24]) ).
cnf(c_0_39,plain,
plus(plus(X1,mult(X2,X1)),plus(X1,X3)) = plus(X1,X3),
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_36,c_0_15]),c_0_18]),c_0_18]),c_0_20]),c_0_18]),c_0_20]) ).
cnf(c_0_40,plain,
mult(X1,mult(mult(X1,X2),X1)) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
mult(plus(X1,mult(X1,mult(X2,X1))),X1) = plus(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_39]),c_0_20]) ).
cnf(c_0_42,plain,
plus(plus(mult(plus(X1,X2),X1),mult(X3,plus(X1,X2))),plus(X1,X2)) = plus(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_2]),c_0_12]),c_0_12]),c_0_12]),c_0_12]) ).
cnf(c_0_43,plain,
plus(mult(X1,X2),X2) = X2,
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_28]),c_0_30]),c_0_21]),c_0_30]),c_0_21]) ).
cnf(c_0_44,plain,
plus(X1,mult(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_7]),c_0_41]),c_0_7]) ).
cnf(c_0_45,plain,
plus(plus(mult(X1,mult(X2,X1)),mult(X3,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
mult(X1,mult(X2,X1)) = mult(X2,X1),
inference(spm,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_47,plain,
plus(plus(mult(X1,X2),mult(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_48,plain,
mult(plus(plus(X1,X2),X1),plus(X1,X2)) = plus(X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_22]) ).
cnf(c_0_49,plain,
plus(mult(X1,mult(X2,X3)),X3) = X3,
inference(spm,[status(thm)],[c_0_33,c_0_43]) ).
cnf(c_0_50,plain,
mult(plus(plus(X1,mult(mult(plus(X2,X2),plus(X2,X3)),X2)),plus(X2,mult(X1,mult(mult(plus(X2,X2),plus(X2,X3)),X2)))),plus(plus(X1,mult(mult(plus(X2,X2),plus(X2,X3)),X2)),X2)) = plus(X1,mult(mult(plus(X2,X2),plus(X2,X3)),X2)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_51,plain,
plus(mult(X1,plus(mult(X2,X3),mult(X4,X3))),X3) = X3,
inference(spm,[status(thm)],[c_0_33,c_0_47]) ).
cnf(c_0_52,plain,
mult(plus(X1,mult(X2,mult(X3,X1))),X1) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,plain,
mult(mult(X1,plus(X1,X2)),X1) = 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_33]),c_0_21]),c_0_43]),c_0_52]),c_0_21]) ).
cnf(c_0_54,plain,
mult(X1,plus(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_53]),c_0_34]),c_0_34]),c_0_18]) ).
cnf(c_0_55,plain,
plus(X1,plus(X1,X2)) = plus(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_2]),c_0_12]),c_0_12]) ).
cnf(c_0_56,plain,
plus(plus(mult(plus(X1,X2),X2),mult(X3,plus(X1,X2))),plus(X1,X2)) = plus(X1,X2),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_57,plain,
plus(plus(X1,X2),X1) = plus(X1,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_22,c_0_54]),c_0_55]),c_0_21]),c_0_55]),c_0_18]),c_0_55]) ).
cnf(c_0_58,plain,
plus(plus(X1,X2),plus(X2,X1)) = plus(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_54]),c_0_37]) ).
cnf(c_0_59,plain,
mult(plus(X1,X2),X1) = 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_54]),c_0_44]),c_0_37]),c_0_44]),c_0_37]),c_0_55]),c_0_8]),c_0_44]),c_0_37]),c_0_21]) ).
cnf(c_0_60,negated_conjecture,
plus(plus(mult(a,b),mult(b,c)),b) != b,
goals ).
cnf(c_0_61,plain,
plus(X1,X2) = plus(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_58]) ).
cnf(c_0_62,plain,
mult(X1,mult(X1,X2)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_34]) ).
cnf(c_0_63,negated_conjecture,
plus(b,plus(mult(b,c),mult(a,b))) != b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61]),c_0_61]) ).
cnf(c_0_64,plain,
plus(X1,plus(mult(X1,X2),mult(X3,X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_61]),c_0_62]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT392-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.18/0.36 % Computer : n005.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Thu Aug 24 06:52:54 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.21/0.60 start to proof: theBenchmark
% 0.21/0.88 % Version : CSE_E---1.5
% 0.21/0.88 % Problem : theBenchmark.p
% 0.21/0.88 % Proof found
% 0.21/0.88 % SZS status Theorem for theBenchmark.p
% 0.21/0.88 % SZS output start Proof
% See solution above
% 0.21/0.89 % Total time : 0.277000 s
% 0.21/0.89 % SZS output end Proof
% 0.21/0.89 % Total time : 0.279000 s
%------------------------------------------------------------------------------