TSTP Solution File: GRP219-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP219-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:46:40 EDT 2023
% Result : Unsatisfiable 0.78s 0.57s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 16
% Syntax : Number of clauses : 95 ( 21 unt; 67 nHn; 78 RR)
% Number of literals : 228 ( 227 equ; 63 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 57 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',left_identity) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',prove_this_6) ).
cnf(prove_this_2,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',prove_this_2) ).
cnf(prove_this_5,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',prove_this_5) ).
cnf(prove_this_23,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',prove_this_23) ).
cnf(prove_this_1,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',prove_this_1) ).
cnf(prove_this_24,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',prove_this_24) ).
cnf(prove_this_33,negated_conjecture,
( inverse(X1) != sk_c9
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,X3) != sk_c8
| inverse(X2) != X3
| multiply(X3,sk_c9) != sk_c8
| multiply(sk_c9,X4) != sk_c8
| multiply(X5,sk_c9) != X4
| inverse(X5) != sk_c9
| inverse(X6) != sk_c9
| multiply(X6,sk_c8) != sk_c9
| multiply(X7,sk_c8) != sk_c9
| inverse(X7) != sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',prove_this_33) ).
cnf(prove_this_22,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',prove_this_22) ).
cnf(prove_this_21,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',prove_this_21) ).
cnf(prove_this_27,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c5
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',prove_this_27) ).
cnf(prove_this_31,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',prove_this_31) ).
cnf(prove_this_28,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c5
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',prove_this_28) ).
cnf(prove_this_32,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p',prove_this_32) ).
cnf(c_0_16,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_17,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_18,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_19,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
prove_this_6 ).
cnf(c_0_21,negated_conjecture,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
prove_this_2 ).
cnf(c_0_23,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( multiply(inverse(sk_c6),sk_c9) = sk_c8
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
prove_this_5 ).
cnf(c_0_26,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c9 ),
prove_this_23 ).
cnf(c_0_28,negated_conjecture,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c6) = sk_c9 ),
prove_this_1 ).
cnf(c_0_30,negated_conjecture,
( multiply(inverse(sk_c7),sk_c9) = sk_c8
| multiply(sk_c9,sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| inverse(sk_c7) = sk_c8 ),
prove_this_24 ).
cnf(c_0_32,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( multiply(sk_c7,multiply(sk_c8,X1)) = multiply(sk_c9,X1)
| multiply(sk_c9,sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_16,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
multiply(sk_c9,sk_c9) = sk_c8,
inference(spm,[status(thm)],[c_0_24,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_37,negated_conjecture,
( multiply(inverse(sk_c7),sk_c8) = sk_c8
| multiply(sk_c9,sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c8,sk_c8) = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
( inverse(X1) != sk_c9
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,X3) != sk_c8
| inverse(X2) != X3
| multiply(X3,sk_c9) != sk_c8
| multiply(sk_c9,X4) != sk_c8
| multiply(X5,sk_c9) != X4
| inverse(X5) != sk_c9
| inverse(X6) != sk_c9
| multiply(X6,sk_c8) != sk_c9
| multiply(X7,sk_c8) != sk_c9
| inverse(X7) != sk_c8 ),
prove_this_33 ).
cnf(c_0_40,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_38]),c_0_17]) ).
cnf(c_0_41,negated_conjecture,
multiply(inverse(sk_c9),sk_c8) = sk_c9,
inference(spm,[status(thm)],[c_0_19,c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| identity = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_34]),c_0_17]) ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8
| multiply(inverse(X2),sk_c9) != sk_c8
| multiply(X2,inverse(X2)) != sk_c8
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,sk_c8) != sk_c9
| inverse(X3) != sk_c8
| inverse(X4) != sk_c9
| inverse(X1) != sk_c9
| inverse(X5) != sk_c9 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_39])]) ).
cnf(c_0_44,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c9 ),
prove_this_22 ).
cnf(c_0_45,negated_conjecture,
( identity = sk_c8
| sk_c5 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_40]),c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( identity = sk_c9
| sk_c5 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_42]),c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8
| multiply(inverse(X2),sk_c9) != sk_c8
| multiply(X2,inverse(X2)) != sk_c8
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| inverse(X3) != sk_c9
| inverse(X1) != sk_c9
| inverse(X4) != sk_c9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_31]),c_0_27]) ).
cnf(c_0_48,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| inverse(sk_c6) = sk_c9 ),
prove_this_21 ).
cnf(c_0_49,negated_conjecture,
( multiply(sk_c6,multiply(sk_c8,X1)) = multiply(sk_c9,X1)
| multiply(sk_c9,sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_16,c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c8,sk_c7) = identity ),
inference(spm,[status(thm)],[c_0_17,c_0_31]) ).
cnf(c_0_51,negated_conjecture,
( multiply(sk_c8,X1) = X1
| sk_c5 = sk_c9 ),
inference(spm,[status(thm)],[c_0_18,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c5
| multiply(sk_c7,sk_c8) = sk_c9 ),
prove_this_27 ).
cnf(c_0_53,negated_conjecture,
( multiply(sk_c9,X1) = X1
| sk_c5 = sk_c9 ),
inference(spm,[status(thm)],[c_0_18,c_0_46]) ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8
| multiply(inverse(X2),sk_c9) != sk_c8
| multiply(X2,inverse(X2)) != sk_c8
| multiply(X3,sk_c8) != sk_c9
| inverse(X1) != sk_c9
| inverse(X3) != sk_c9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_44]) ).
cnf(c_0_55,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_19]) ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_34]),c_0_35]) ).
cnf(c_0_57,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| sk_c5 = sk_c9
| identity = sk_c7 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
( multiply(inverse(sk_c4),sk_c5) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_19,c_0_52]) ).
cnf(c_0_59,negated_conjecture,
( sk_c5 = sk_c9
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_35,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c9,multiply(sk_c7,sk_c9)) != sk_c8
| multiply(inverse(X1),sk_c9) != sk_c8
| multiply(X1,inverse(X1)) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| inverse(X2) != sk_c9
| sk_c8 != sk_c9 ),
inference(spm,[status(thm)],[c_0_54,c_0_31]) ).
cnf(c_0_61,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_17,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_44,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
( identity = sk_c7
| sk_c5 = sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_57]),c_0_41])]) ).
cnf(c_0_64,negated_conjecture,
( multiply(inverse(sk_c4),sk_c9) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c9
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c9 ),
prove_this_31 ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c9,multiply(sk_c7,sk_c9)) != sk_c8
| multiply(inverse(X1),sk_c9) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| inverse(X2) != sk_c9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_40]) ).
cnf(c_0_67,negated_conjecture,
( multiply(sk_c7,X1) = X1
| sk_c5 = sk_c9 ),
inference(spm,[status(thm)],[c_0_18,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c8 = sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_35])]) ).
cnf(c_0_69,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| sk_c5 = sk_c9
| multiply(inverse(X1),sk_c9) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| inverse(X2) != sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_35])]) ).
cnf(c_0_70,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_18,c_0_61]) ).
cnf(c_0_71,negated_conjecture,
( multiply(inverse(sk_c7),sk_c9) = sk_c8
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_19,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| sk_c5 = sk_c9
| multiply(inverse(X1),sk_c9) != sk_c8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_18]),c_0_46]),c_0_59]) ).
cnf(c_0_73,negated_conjecture,
( inverse(sk_c7) = identity
| sk_c5 = sk_c9 ),
inference(spm,[status(thm)],[c_0_67,c_0_61]) ).
cnf(c_0_74,negated_conjecture,
( multiply(inverse(inverse(sk_c7)),sk_c8) = sk_c9
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_19,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c5
| inverse(sk_c7) = sk_c8 ),
prove_this_28 ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| sk_c5 = sk_c9 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_18]),c_0_59]) ).
cnf(c_0_77,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c5
| sk_c8 = sk_c9
| identity = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_17]) ).
cnf(c_0_78,negated_conjecture,
sk_c5 = sk_c9,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_76]),c_0_41])]) ).
cnf(c_0_79,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c9
| identity = sk_c9
| sk_c8 = sk_c9 ),
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_80,negated_conjecture,
( multiply(inverse(sk_c4),sk_c9) = sk_c9
| sk_c8 = sk_c9
| identity = sk_c9 ),
inference(spm,[status(thm)],[c_0_19,c_0_79]) ).
cnf(c_0_81,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c7) = sk_c8 ),
prove_this_32 ).
cnf(c_0_82,negated_conjecture,
( inverse(sk_c7) = sk_c8
| identity = sk_c9
| sk_c8 = sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_35])]) ).
cnf(c_0_83,negated_conjecture,
( multiply(sk_c7,sk_c8) = identity
| sk_c8 = sk_c9
| identity = sk_c9 ),
inference(spm,[status(thm)],[c_0_61,c_0_82]) ).
cnf(c_0_84,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c9 ),
inference(spm,[status(thm)],[c_0_68,c_0_83]) ).
cnf(c_0_85,negated_conjecture,
( inverse(sk_c9) = sk_c9
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_70,c_0_84]) ).
cnf(c_0_86,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_85]),c_0_35]) ).
cnf(c_0_87,negated_conjecture,
sk_c8 = sk_c9,
inference(spm,[status(thm)],[c_0_84,c_0_86]) ).
cnf(c_0_88,negated_conjecture,
identity = sk_c9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_87]),c_0_17]) ).
cnf(c_0_89,plain,
multiply(inverse(X1),X1) = sk_c9,
inference(rw,[status(thm)],[c_0_17,c_0_88]) ).
cnf(c_0_90,plain,
multiply(sk_c9,X1) = X1,
inference(rw,[status(thm)],[c_0_18,c_0_88]) ).
cnf(c_0_91,plain,
multiply(X1,sk_c9) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_89]),c_0_55]) ).
cnf(c_0_92,plain,
inverse(sk_c9) = sk_c9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_88]),c_0_88]) ).
cnf(c_0_93,negated_conjecture,
inverse(X1) != sk_c9,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[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)],[c_0_43,c_0_61]),c_0_90]),c_0_91]),c_0_87]),c_0_91]),c_0_87]),c_0_88]),c_0_87]),c_0_87]),c_0_91]),c_0_87]),c_0_91]),c_0_87]),c_0_91]),c_0_87])])])])])]),c_0_92])]) ).
cnf(c_0_94,plain,
$false,
inference(sr,[status(thm)],[c_0_92,c_0_93]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP219-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n028.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 : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Oct 3 03:13:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running first-order model finding
% 0.19/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.IcQUOfKcmo/E---3.1_8538.p
% 0.78/0.57 # Version: 3.1pre001
% 0.78/0.57 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.78/0.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.78/0.57 # Starting new_bool_3 with 300s (1) cores
% 0.78/0.57 # Starting new_bool_1 with 300s (1) cores
% 0.78/0.57 # Starting sh5l with 300s (1) cores
% 0.78/0.57 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 8681 completed with status 0
% 0.78/0.57 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.78/0.57 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.78/0.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.78/0.57 # No SInE strategy applied
% 0.78/0.57 # Search class: FGHPS-FFMM21-SFFFFFNN
% 0.78/0.57 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.78/0.57 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.78/0.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.78/0.57 # Starting new_bool_3 with 136s (1) cores
% 0.78/0.57 # Starting new_bool_1 with 136s (1) cores
% 0.78/0.57 # Starting sh5l with 136s (1) cores
% 0.78/0.57 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 8686 completed with status 0
% 0.78/0.57 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.78/0.57 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.78/0.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.78/0.57 # No SInE strategy applied
% 0.78/0.57 # Search class: FGHPS-FFMM21-SFFFFFNN
% 0.78/0.57 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.78/0.57 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.78/0.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.78/0.57 # Preprocessing time : 0.001 s
% 0.78/0.57 # Presaturation interreduction done
% 0.78/0.57
% 0.78/0.57 # Proof found!
% 0.78/0.57 # SZS status Unsatisfiable
% 0.78/0.57 # SZS output start CNFRefutation
% See solution above
% 0.78/0.57 # Parsed axioms : 36
% 0.78/0.57 # Removed by relevancy pruning/SinE : 0
% 0.78/0.57 # Initial clauses : 36
% 0.78/0.57 # Removed in clause preprocessing : 0
% 0.78/0.57 # Initial clauses in saturation : 36
% 0.78/0.57 # Processed clauses : 888
% 0.78/0.57 # ...of these trivial : 83
% 0.78/0.57 # ...subsumed : 367
% 0.78/0.57 # ...remaining for further processing : 438
% 0.78/0.57 # Other redundant clauses eliminated : 16
% 0.78/0.57 # Clauses deleted for lack of memory : 0
% 0.78/0.57 # Backward-subsumed : 61
% 0.78/0.57 # Backward-rewritten : 321
% 0.78/0.57 # Generated clauses : 2323
% 0.78/0.57 # ...of the previous two non-redundant : 2310
% 0.78/0.57 # ...aggressively subsumed : 0
% 0.78/0.57 # Contextual simplify-reflections : 38
% 0.78/0.57 # Paramodulations : 2312
% 0.78/0.57 # Factorizations : 3
% 0.78/0.57 # NegExts : 0
% 0.78/0.57 # Equation resolutions : 16
% 0.78/0.57 # Total rewrite steps : 1475
% 0.78/0.57 # Propositional unsat checks : 0
% 0.78/0.57 # Propositional check models : 0
% 0.78/0.57 # Propositional check unsatisfiable : 0
% 0.78/0.57 # Propositional clauses : 0
% 0.78/0.57 # Propositional clauses after purity: 0
% 0.78/0.57 # Propositional unsat core size : 0
% 0.78/0.57 # Propositional preprocessing time : 0.000
% 0.78/0.57 # Propositional encoding time : 0.000
% 0.78/0.57 # Propositional solver time : 0.000
% 0.78/0.57 # Success case prop preproc time : 0.000
% 0.78/0.57 # Success case prop encoding time : 0.000
% 0.78/0.57 # Success case prop solver time : 0.000
% 0.78/0.57 # Current number of processed clauses : 14
% 0.78/0.57 # Positive orientable unit clauses : 13
% 0.78/0.57 # Positive unorientable unit clauses: 0
% 0.78/0.57 # Negative unit clauses : 1
% 0.78/0.57 # Non-unit-clauses : 0
% 0.78/0.57 # Current number of unprocessed clauses: 1071
% 0.78/0.57 # ...number of literals in the above : 3269
% 0.78/0.57 # Current number of archived formulas : 0
% 0.78/0.57 # Current number of archived clauses : 419
% 0.78/0.57 # Clause-clause subsumption calls (NU) : 4815
% 0.78/0.57 # Rec. Clause-clause subsumption calls : 2250
% 0.78/0.57 # Non-unit clause-clause subsumptions : 460
% 0.78/0.57 # Unit Clause-clause subsumption calls : 251
% 0.78/0.57 # Rewrite failures with RHS unbound : 0
% 0.78/0.57 # BW rewrite match attempts : 29
% 0.78/0.57 # BW rewrite match successes : 26
% 0.78/0.57 # Condensation attempts : 0
% 0.78/0.57 # Condensation successes : 0
% 0.78/0.57 # Termbank termtop insertions : 36705
% 0.78/0.57
% 0.78/0.57 # -------------------------------------------------
% 0.78/0.57 # User time : 0.059 s
% 0.78/0.57 # System time : 0.006 s
% 0.78/0.57 # Total time : 0.065 s
% 0.78/0.57 # Maximum resident set size: 1604 pages
% 0.78/0.57
% 0.78/0.57 # -------------------------------------------------
% 0.78/0.57 # User time : 0.354 s
% 0.78/0.57 # System time : 0.010 s
% 0.78/0.57 # Total time : 0.364 s
% 0.78/0.57 # Maximum resident set size: 1688 pages
% 0.78/0.57 % E---3.1 exiting
%------------------------------------------------------------------------------