TSTP Solution File: GRP283-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP283-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 : Fri May 3 02:22:02 EDT 2024
% Result : Unsatisfiable 41.49s 6.26s
% Output : CNFRefutation 41.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 36
% Syntax : Number of clauses : 451 ( 51 unt; 149 nHn; 424 RR)
% Number of literals : 1196 (1094 equ; 585 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 254 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| multiply(X1,sk_c8) != X2
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != sk_c6
| multiply(sk_c8,X2) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X3) != sk_c7
| inverse(X4) != sk_c8
| inverse(sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c7
| inverse(X3) != sk_c8
| inverse(sk_c7) != sk_c6 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_91,plain,
multiply(inverse(sk_c8),sk_c8) = identity,
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_434,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_89]) ).
cnf(c_435,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_89]) ).
cnf(c_436,negated_conjecture,
( multiply(X0,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_89]) ).
cnf(c_437,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_89]) ).
cnf(c_438,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(sk_c7) != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
cnf(c_439,plain,
X0 = X0,
theory(equality) ).
cnf(c_440,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_441,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_442,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_445,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_656,plain,
( multiply(sk_c8,sk_c7) != X0
| sk_c6 != X0
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_658,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_656]) ).
cnf(c_659,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c8,sk_c7),
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_660,plain,
( multiply(sk_c8,sk_c7) != X0
| X1 != X0
| multiply(sk_c8,sk_c7) = X1 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_661,plain,
( multiply(sk_c8,sk_c7) != multiply(X0,X1)
| sk_c6 != multiply(X0,X1)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_656]) ).
cnf(c_662,plain,
( sk_c8 != X0
| sk_c7 != X1
| multiply(sk_c8,sk_c7) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_663,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c8,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_661]) ).
cnf(c_665,plain,
( multiply(sk_c8,sk_c7) != X0
| sk_c6 != X0
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_673,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c8,sk_c7)
| X0 != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_675,plain,
( sk_c8 != X0
| sk_c7 != sk_c7
| multiply(sk_c8,sk_c7) = multiply(X0,sk_c7) ),
inference(instantiation,[status(thm)],[c_662]) ).
cnf(c_676,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_677,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_678,plain,
( multiply(X0,X1) != X2
| sk_c6 != X2
| sk_c6 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_679,plain,
( multiply(sk_c8,sk_c8) != sk_c8
| sk_c6 != sk_c8
| sk_c6 = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_678]) ).
cnf(c_681,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_682,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_683,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_684,plain,
( multiply(identity,multiply(sk_c8,sk_c7)) != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) = multiply(identity,multiply(sk_c8,sk_c7)) ),
inference(instantiation,[status(thm)],[c_673]) ).
cnf(c_685,plain,
multiply(identity,multiply(sk_c8,sk_c7)) = multiply(sk_c8,sk_c7),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_687,plain,
( multiply(sk_c8,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_689,plain,
( multiply(X0,X1) != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_673]) ).
cnf(c_690,plain,
( X0 != sk_c8
| X1 != sk_c7
| multiply(X0,X1) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_691,plain,
( multiply(sk_c8,sk_c8) != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_689]) ).
cnf(c_692,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c7
| multiply(sk_c8,sk_c8) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_690]) ).
cnf(c_694,plain,
( multiply(sk_c8,sk_c7) != multiply(X0,sk_c7)
| X1 != multiply(X0,sk_c7)
| multiply(sk_c8,sk_c7) = X1 ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_700,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_677]) ).
cnf(c_701,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_700]) ).
cnf(c_708,plain,
( multiply(X0,sk_c7) != X1
| X2 != X1
| X2 = multiply(X0,sk_c7) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_709,plain,
( multiply(X0,X1) != multiply(X2,sk_c7)
| multiply(sk_c8,sk_c7) != multiply(X2,sk_c7)
| multiply(sk_c8,sk_c7) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_694]) ).
cnf(c_710,plain,
( X0 != X1
| X2 != sk_c7
| multiply(X0,X2) = multiply(X1,sk_c7) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_735,plain,
( multiply(X0,X1) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_678]) ).
cnf(c_737,plain,
( multiply(sk_c8,sk_c7) != multiply(identity,multiply(sk_c8,sk_c7))
| X0 != multiply(identity,multiply(sk_c8,sk_c7))
| multiply(sk_c8,sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_742,plain,
( inverse(sk_c4) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_700]) ).
cnf(c_743,plain,
( multiply(identity,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_700]) ).
cnf(c_744,plain,
multiply(identity,sk_c7) = sk_c7,
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_746,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_844,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_889,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_683]) ).
cnf(c_890,plain,
( sk_c8 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = sk_c8 ),
inference(instantiation,[status(thm)],[c_889]) ).
cnf(c_896,plain,
( multiply(sk_c8,sk_c7) != multiply(X0,sk_c7)
| X1 != multiply(X0,sk_c7)
| X1 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_687]) ).
cnf(c_914,plain,
( X0 != inverse(sk_c4)
| sk_c7 != inverse(sk_c4)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_677]) ).
cnf(c_915,plain,
( sk_c8 != X0
| sk_c7 != inverse(sk_c4)
| multiply(sk_c8,sk_c7) = multiply(X0,inverse(sk_c4)) ),
inference(instantiation,[status(thm)],[c_662]) ).
cnf(c_945,plain,
( multiply(sk_c5,sk_c8) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_735]) ).
cnf(c_948,plain,
( multiply(X0,X1) != X2
| sk_c6 != X2
| multiply(X0,X1) = sk_c6 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_963,plain,
( multiply(sk_c4,sk_c7) != sk_c8
| X0 != sk_c8
| X0 = multiply(sk_c4,sk_c7) ),
inference(instantiation,[status(thm)],[c_708]) ).
cnf(c_964,plain,
( multiply(sk_c4,sk_c7) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(instantiation,[status(thm)],[c_963]) ).
cnf(c_967,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| X0 != identity
| X0 = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_708]) ).
cnf(c_968,plain,
multiply(inverse(sk_c7),sk_c7) = identity,
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_975,plain,
( multiply(X0,sk_c7) != X1
| X2 != X1
| multiply(X0,sk_c7) = X2 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_987,plain,
( multiply(identity,sk_c7) != sk_c7
| X0 != sk_c7
| X0 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_708]) ).
cnf(c_992,plain,
( X0 != inverse(sk_c4)
| sk_c7 != inverse(sk_c4)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_746]) ).
cnf(c_993,plain,
( sk_c8 != inverse(sk_c4)
| sk_c7 != inverse(sk_c4)
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_992]) ).
cnf(c_1010,plain,
( X0 != X1
| sk_c7 != sk_c7
| multiply(X0,sk_c7) = multiply(X1,sk_c7) ),
inference(instantiation,[status(thm)],[c_710]) ).
cnf(c_1018,plain,
( multiply(sk_c8,sk_c7) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_896]) ).
cnf(c_1019,plain,
( multiply(sk_c8,sk_c7) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c7 ),
inference(instantiation,[status(thm)],[c_694]) ).
cnf(c_1024,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1025,plain,
( sk_c8 != sk_c8
| sk_c6 != sk_c8
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1024]) ).
cnf(c_1038,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c5,sk_c8)
| sk_c6 != multiply(sk_c5,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_661]) ).
cnf(c_1056,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_844,c_86]) ).
cnf(c_1079,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_57,c_1056]) ).
cnf(c_1081,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_1056]) ).
cnf(c_1082,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_58,c_1056]) ).
cnf(c_1083,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_1056]) ).
cnf(c_1088,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_75,c_1056]) ).
cnf(c_1090,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_78,c_1056]) ).
cnf(c_1091,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_1056]) ).
cnf(c_1092,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_74,c_1056]) ).
cnf(c_1094,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_1056]) ).
cnf(c_1102,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1056,c_1056]) ).
cnf(c_1147,plain,
( multiply(identity,inverse(sk_c4)) != inverse(sk_c4)
| sk_c7 != inverse(sk_c4)
| sk_c7 = multiply(identity,inverse(sk_c4)) ),
inference(instantiation,[status(thm)],[c_914]) ).
cnf(c_1148,plain,
multiply(identity,inverse(sk_c4)) = inverse(sk_c4),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1150,plain,
( inverse(sk_c4) != X0
| X1 != X0
| X1 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1151,plain,
( inverse(sk_c4) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_1150]) ).
cnf(c_1157,plain,
( multiply(sk_c8,sk_c7) != multiply(X0,inverse(sk_c4))
| X1 != multiply(X0,inverse(sk_c4))
| X1 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_687]) ).
cnf(c_1361,plain,
( inverse(sk_c4) != sk_c7
| ~ sP0_iProver_def
| inverse(sk_c1) = sk_c8 ),
inference(resolution,[status(thm)],[c_434,c_63]) ).
cnf(c_1383,plain,
( multiply(sk_c8,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_700]) ).
cnf(c_1393,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_def
| inverse(sk_c4) = sk_c7 ),
inference(resolution,[status(thm)],[c_435,c_58]) ).
cnf(c_1394,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(resolution,[status(thm)],[c_435,c_60]) ).
cnf(c_1395,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_def
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(resolution,[status(thm)],[c_435,c_55]) ).
cnf(c_1396,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_def
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(resolution,[status(thm)],[c_435,c_57]) ).
cnf(c_1397,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_def
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(resolution,[status(thm)],[c_435,c_59]) ).
cnf(c_1423,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| X0 != sk_c6
| X0 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_687]) ).
cnf(c_1427,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != sk_c6
| sk_c8 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1423]) ).
cnf(c_1441,plain,
( inverse(sk_c5) != sk_c8
| ~ sP2_iProver_def
| inverse(sk_c1) = sk_c8 ),
inference(resolution,[status(thm)],[c_436,c_65]) ).
cnf(c_1443,plain,
( inverse(sk_c5) != sk_c8
| ~ sP2_iProver_def
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(resolution,[status(thm)],[c_436,c_53]) ).
cnf(c_1447,plain,
( multiply(sk_c8,sk_c3) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(instantiation,[status(thm)],[c_700]) ).
cnf(c_1467,plain,
( X0 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_683]) ).
cnf(c_1492,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_1494,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1516,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c7) != sk_c6
| inverse(sk_c1) = sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(resolution,[status(thm)],[c_438,c_61]) ).
cnf(c_1527,plain,
( X0 != identity
| sk_c7 != sk_c7
| multiply(X0,sk_c7) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1010]) ).
cnf(c_1529,plain,
( sk_c8 != identity
| sk_c7 != sk_c7
| multiply(sk_c8,sk_c7) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1527]) ).
cnf(c_1530,plain,
( ~ sP0_iProver_def
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1361,c_64,c_1361]) ).
cnf(c_1539,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c7) != sk_c6
| inverse(sk_c1) = sk_c8
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_1516,c_1530]) ).
cnf(c_1572,plain,
( ~ sP1_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1394,c_66,c_1394]) ).
cnf(c_1591,plain,
( X0 != sk_c6
| multiply(sk_c8,sk_c7) = X0
| inverse(sk_c4) = sk_c7 ),
inference(resolution,[status(thm)],[c_440,c_52]) ).
cnf(c_1592,plain,
( X0 != sk_c6
| multiply(sk_c8,sk_c7) = X0
| inverse(sk_c5) = sk_c8 ),
inference(resolution,[status(thm)],[c_440,c_54]) ).
cnf(c_1618,plain,
( X0 != sk_c7
| multiply(sk_c1,sk_c8) = X0
| inverse(sk_c4) = sk_c7 ),
inference(resolution,[status(thm)],[c_440,c_58]) ).
cnf(c_1619,plain,
( X0 != sk_c7
| multiply(sk_c1,sk_c8) = X0
| inverse(sk_c5) = sk_c8 ),
inference(resolution,[status(thm)],[c_440,c_60]) ).
cnf(c_1620,plain,
( X0 != sk_c7
| multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c1,sk_c8) = X0 ),
inference(resolution,[status(thm)],[c_440,c_55]) ).
cnf(c_1621,plain,
( X0 != sk_c7
| multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = X0 ),
inference(resolution,[status(thm)],[c_440,c_57]) ).
cnf(c_1622,plain,
( X0 != sk_c7
| multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = X0 ),
inference(resolution,[status(thm)],[c_440,c_59]) ).
cnf(c_1656,plain,
( X0 != identity
| multiply(inverse(X1),X1) = X0 ),
inference(resolution,[status(thm)],[c_440,c_87]) ).
cnf(c_1660,plain,
( X0 != X1
| X1 = X0 ),
inference(resolution,[status(thm)],[c_440,c_439]) ).
cnf(c_1661,plain,
( X0 != X1
| X2 != inverse(X1)
| inverse(X0) = X2 ),
inference(resolution,[status(thm)],[c_440,c_442]) ).
cnf(c_1700,plain,
( multiply(inverse(X0),X0) != identity
| multiply(inverse(sk_c7),sk_c7) != identity
| multiply(inverse(X0),X0) = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_967]) ).
cnf(c_1712,plain,
( multiply(identity,sk_c7) != sk_c7
| inverse(sk_c4) != sk_c7
| inverse(sk_c4) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_987]) ).
cnf(c_1792,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1094,c_1102]) ).
cnf(c_1801,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1102,c_87]) ).
cnf(c_1832,plain,
( multiply(X0,X1) != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| multiply(X0,X1) = sk_c6 ),
inference(instantiation,[status(thm)],[c_948]) ).
cnf(c_1835,plain,
( multiply(X0,X1) != multiply(sk_c5,sk_c8)
| sk_c6 != multiply(sk_c5,sk_c8)
| multiply(X0,X1) = sk_c6 ),
inference(instantiation,[status(thm)],[c_948]) ).
cnf(c_1836,plain,
( multiply(sk_c8,sk_c8) != multiply(sk_c5,sk_c8)
| sk_c6 != multiply(sk_c5,sk_c8)
| multiply(sk_c8,sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1835]) ).
cnf(c_1843,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_844,c_86]) ).
cnf(c_1863,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1843,c_1102]) ).
cnf(c_1885,plain,
( multiply(identity,sk_c7) != sk_c7
| X0 != sk_c7
| multiply(identity,sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_975]) ).
cnf(c_1886,plain,
( multiply(identity,sk_c7) != sk_c7
| sk_c8 != sk_c7
| multiply(identity,sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1885]) ).
cnf(c_2062,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c8 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_434]) ).
cnf(c_2085,plain,
( X0 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1024]) ).
cnf(c_2088,plain,
( X0 != multiply(sk_c5,sk_c8)
| sk_c6 != multiply(sk_c5,sk_c8)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1024]) ).
cnf(c_2089,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| sk_c6 != multiply(sk_c5,sk_c8)
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_2088]) ).
cnf(c_2098,plain,
( multiply(sk_c8,sk_c7) != multiply(identity,sk_c7)
| inverse(sk_c4) != multiply(identity,sk_c7)
| inverse(sk_c4) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_896]) ).
cnf(c_2130,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_86,c_435]) ).
cnf(c_2131,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_435]) ).
cnf(c_2164,plain,
( multiply(sk_c4,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c4,sk_c7) ),
inference(instantiation,[status(thm)],[c_708]) ).
cnf(c_2244,plain,
( multiply(sk_c5,sk_c8) != X0
| X1 != X0
| X1 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_2252,plain,
( inverse(sk_c7) != X0
| X1 != X0
| X1 = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_2288,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1801]) ).
cnf(c_2289,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_64,c_1801]) ).
cnf(c_2290,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1801]) ).
cnf(c_2291,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_84,c_1801]) ).
cnf(c_2368,plain,
( X0 != sk_c5
| X1 != sk_c8
| multiply(X0,X1) = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_2369,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c5
| multiply(sk_c8,sk_c8) = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_2368]) ).
cnf(c_2379,plain,
( multiply(X0,X1) != X2
| sk_c8 != X2
| multiply(X0,X1) = sk_c8 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_2401,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| identity != identity
| identity = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_967]) ).
cnf(c_2534,plain,
( inverse(sk_c1) != sk_c8
| sk_c7 != sk_c6
| ~ sP2_iProver_def
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_58,c_436]) ).
cnf(c_2587,plain,
( inverse(sk_c4) != X0
| X1 != X0
| inverse(sk_c4) = X1 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_2606,plain,
( multiply(sk_c8,sk_c7) != sk_c7
| inverse(sk_c1) != sk_c8
| ~ sP3_iProver_def
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_59,c_437]) ).
cnf(c_2615,plain,
( multiply(sk_c8,sk_c3) != sk_c7
| inverse(sk_c2) != sk_c8
| ~ sP3_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_78,c_437]) ).
cnf(c_2616,plain,
( multiply(sk_c8,sk_c3) != sk_c7
| inverse(sk_c2) != sk_c8
| ~ sP3_iProver_def
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_437]) ).
cnf(c_2635,plain,
( multiply(sk_c8,sk_c7) != multiply(identity,inverse(sk_c4))
| sk_c7 != multiply(identity,inverse(sk_c4))
| sk_c7 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1157]) ).
cnf(c_2671,plain,
( X0 != X1
| X2 != X3
| X4 != multiply(X1,X3)
| multiply(X0,X2) = X4 ),
inference(resolution,[status(thm)],[c_441,c_440]) ).
cnf(c_2690,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(resolution,[status(thm)],[c_1660,c_61]) ).
cnf(c_2700,plain,
( inverse(sk_c1) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(resolution,[status(thm)],[c_1660,c_65]) ).
cnf(c_2702,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(resolution,[status(thm)],[c_1660,c_53]) ).
cnf(c_2706,plain,
( inverse(sk_c4) = sk_c7
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(resolution,[status(thm)],[c_1660,c_58]) ).
cnf(c_2707,plain,
( inverse(sk_c5) = sk_c8
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(resolution,[status(thm)],[c_1660,c_60]) ).
cnf(c_2708,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(resolution,[status(thm)],[c_1660,c_55]) ).
cnf(c_2709,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(resolution,[status(thm)],[c_1660,c_57]) ).
cnf(c_2710,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(resolution,[status(thm)],[c_1660,c_59]) ).
cnf(c_2728,plain,
X0 = multiply(identity,X0),
inference(resolution,[status(thm)],[c_1660,c_86]) ).
cnf(c_2785,plain,
( multiply(identity,multiply(X0,sk_c7)) != X1
| X2 != X1
| multiply(identity,multiply(X0,sk_c7)) = X2 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_2868,plain,
( multiply(sk_c7,sk_c6) != sk_c8
| inverse(sk_c7) != sk_c6
| inverse(sk_c5) = sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_54,c_438]) ).
cnf(c_2869,plain,
( multiply(sk_c7,sk_c6) != sk_c8
| inverse(sk_c7) != sk_c6
| inverse(sk_c4) = sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_52,c_438]) ).
cnf(c_2882,plain,
( inverse(sk_c5) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2288,c_60]) ).
cnf(c_3131,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2882,c_1801]) ).
cnf(c_3146,plain,
( inverse(sk_c4) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2289,c_58]) ).
cnf(c_3207,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_3216,plain,
( multiply(sk_c4,sk_c7) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3146,c_1801]) ).
cnf(c_3297,plain,
( inverse(sk_c7) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2290,c_56]) ).
cnf(c_3336,plain,
( multiply(identity,multiply(sk_c8,sk_c7)) != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| multiply(identity,multiply(sk_c8,sk_c7)) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1832]) ).
cnf(c_3373,plain,
( X0 != multiply(sk_c1,sk_c8)
| sk_c7 != multiply(sk_c1,sk_c8)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_746]) ).
cnf(c_3374,plain,
( X0 != multiply(sk_c1,sk_c8)
| sk_c7 != multiply(sk_c1,sk_c8)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_677]) ).
cnf(c_3377,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| sk_c7 != multiply(sk_c1,sk_c8)
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_3374]) ).
cnf(c_3391,plain,
( inverse(sk_c5) = sk_c8
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_2291,c_78]) ).
cnf(c_3399,plain,
( X0 != multiply(sk_c8,sk_c3)
| sk_c7 != multiply(sk_c8,sk_c3)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_746]) ).
cnf(c_3404,plain,
( sk_c8 != multiply(sk_c8,sk_c3)
| sk_c7 != multiply(sk_c8,sk_c3)
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_3399]) ).
cnf(c_3828,plain,
( multiply(inverse(X0),X0) != multiply(inverse(sk_c7),sk_c7)
| multiply(sk_c8,sk_c7) != multiply(inverse(sk_c7),sk_c7)
| multiply(sk_c8,sk_c7) = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_709]) ).
cnf(c_4207,plain,
( inverse(sk_c5) != sk_c8
| ~ sP2_iProver_def
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_53,c_436]) ).
cnf(c_4209,plain,
( inverse(sk_c5) != sk_c8
| ~ sP2_iProver_def
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_436]) ).
cnf(c_4223,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c6 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_436]) ).
cnf(c_4322,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_1094,c_1792]) ).
cnf(c_4324,plain,
( sk_c6 != identity
| ~ sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_4223,c_4322]) ).
cnf(c_4325,plain,
( sk_c7 != identity
| ~ sP1_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_2131,c_4322]) ).
cnf(c_4326,plain,
( sk_c8 != identity
| ~ sP0_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_2062,c_4322]) ).
cnf(c_4759,plain,
( X0 != identity
| X0 = multiply(inverse(X1),X1) ),
inference(resolution,[status(thm)],[c_1656,c_1660]) ).
cnf(c_4760,plain,
( sk_c8 != identity
| sk_c8 = multiply(inverse(sk_c8),sk_c8) ),
inference(instantiation,[status(thm)],[c_4759]) ).
cnf(c_5596,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(resolution,[status(thm)],[c_2702,c_1660]) ).
cnf(c_5824,plain,
( multiply(sk_c4,sk_c7) != X0
| identity != X0
| identity = multiply(sk_c4,sk_c7) ),
inference(instantiation,[status(thm)],[c_2164]) ).
cnf(c_5825,plain,
( X0 != multiply(sk_c4,sk_c7)
| identity != multiply(sk_c4,sk_c7)
| X0 = identity ),
inference(instantiation,[status(thm)],[c_1494]) ).
cnf(c_5827,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| identity != multiply(sk_c4,sk_c7)
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_5825]) ).
cnf(c_5883,plain,
( X0 != sk_c6
| inverse(sk_c4) = sk_c7
| X0 = multiply(sk_c8,sk_c7) ),
inference(resolution,[status(thm)],[c_1591,c_1660]) ).
cnf(c_5949,plain,
( X0 != sk_c6
| inverse(sk_c5) = sk_c8
| X0 = multiply(sk_c8,sk_c7) ),
inference(resolution,[status(thm)],[c_1592,c_1660]) ).
cnf(c_6005,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c7) != sk_c6
| sk_c7 = multiply(sk_c1,sk_c8)
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(resolution,[status(thm)],[c_2708,c_438]) ).
cnf(c_6099,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1081]) ).
cnf(c_6111,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(resolution,[status(thm)],[c_2709,c_1660]) ).
cnf(c_6114,plain,
( inverse(sk_c4) != sk_c7
| ~ sP0_iProver_def
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(resolution,[status(thm)],[c_2709,c_434]) ).
cnf(c_6158,plain,
( inverse(sk_c5) != sk_c8
| ~ sP2_iProver_def
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(resolution,[status(thm)],[c_2710,c_436]) ).
cnf(c_6175,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_6099,c_54]) ).
cnf(c_6393,plain,
( ~ sP2_iProver_def
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_4209,c_66,c_1441]) ).
cnf(c_6397,plain,
( inverse(sk_c7) != sk_c6
| X0 != sk_c6
| X0 = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_2252]) ).
cnf(c_6398,plain,
( inverse(sk_c7) != sk_c6
| sk_c8 != sk_c6
| sk_c8 = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_6397]) ).
cnf(c_6434,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_64,c_1082]) ).
cnf(c_6466,plain,
( X0 != X1
| sk_c5 != X1
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_6467,plain,
( sk_c8 != sk_c8
| sk_c5 != sk_c8
| sk_c8 = sk_c5 ),
inference(instantiation,[status(thm)],[c_6466]) ).
cnf(c_6487,plain,
( inverse(sk_c4) = sk_c7
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_6434,c_52]) ).
cnf(c_6581,plain,
( multiply(sk_c4,sk_c7) = identity
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_6487,c_1801]) ).
cnf(c_6637,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1083]) ).
cnf(c_6661,plain,
( inverse(sk_c7) = sk_c6
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_6637,c_50]) ).
cnf(c_6875,plain,
( ~ sP1_iProver_def
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1395,c_61,c_1395]) ).
cnf(c_6903,plain,
( sk_c8 != identity
| sk_c7 != inverse(sk_c4)
| multiply(sk_c8,sk_c7) = multiply(identity,inverse(sk_c4)) ),
inference(instantiation,[status(thm)],[c_915]) ).
cnf(c_6905,plain,
( ~ sP1_iProver_def
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1396,c_63,c_1396]) ).
cnf(c_6921,plain,
( ~ sP1_iProver_def
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(resolution,[status(thm)],[c_6905,c_1660]) ).
cnf(c_6994,plain,
( multiply(sk_c1,sk_c8) != sk_c7
| sk_c8 != sk_c7
| multiply(sk_c1,sk_c8) = sk_c8 ),
inference(instantiation,[status(thm)],[c_2379]) ).
cnf(c_7008,plain,
( ~ sP1_iProver_def
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_1397,c_65,c_1397]) ).
cnf(c_7018,plain,
( ~ sP1_iProver_def
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(resolution,[status(thm)],[c_7008,c_1660]) ).
cnf(c_7091,plain,
( ~ sP2_iProver_def
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_4207,c_54,c_1443]) ).
cnf(c_7106,plain,
( X0 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(sk_c8,sk_c7)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_746]) ).
cnf(c_7114,plain,
( multiply(X0,X1) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(X0,X1) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1423]) ).
cnf(c_7115,plain,
( multiply(sk_c8,sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c8) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_7114]) ).
cnf(c_7154,plain,
( ~ sP2_iProver_def
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_1443,c_7091]) ).
cnf(c_7164,plain,
( ~ sP2_iProver_def
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(resolution,[status(thm)],[c_7154,c_1660]) ).
cnf(c_7169,plain,
( multiply(sk_c8,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_84,c_1090]) ).
cnf(c_7252,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_7169,c_72]) ).
cnf(c_7291,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_7252,c_1801]) ).
cnf(c_7309,plain,
( multiply(sk_c8,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_82,c_1091]) ).
cnf(c_7326,plain,
( inverse(sk_c1) != sk_c8
| sk_c6 != sk_c7
| ~ sP2_iProver_def
| inverse(sk_c4) = sk_c7 ),
inference(resolution,[status(thm)],[c_1618,c_436]) ).
cnf(c_7372,plain,
( multiply(sk_c1,sk_c8) != X0
| X1 != X0
| X1 = multiply(sk_c1,sk_c8) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_7373,plain,
( multiply(sk_c1,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c1,sk_c8) ),
inference(instantiation,[status(thm)],[c_7372]) ).
cnf(c_7387,plain,
( inverse(sk_c4) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_7309,c_70]) ).
cnf(c_7449,plain,
( multiply(sk_c8,sk_c7) != X0
| multiply(identity,sk_c7) != X0
| multiply(sk_c8,sk_c7) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_7450,plain,
( multiply(sk_c8,sk_c7) != sk_c8
| multiply(identity,sk_c7) != sk_c8
| multiply(sk_c8,sk_c7) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_7449]) ).
cnf(c_7453,plain,
( multiply(sk_c8,sk_c7) != X0
| multiply(sk_c5,sk_c8) != X0
| multiply(sk_c8,sk_c7) = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_7510,plain,
( inverse(sk_c1) != sk_c8
| sk_c6 != sk_c7
| ~ sP2_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(resolution,[status(thm)],[c_1619,c_436]) ).
cnf(c_7517,plain,
( multiply(sk_c4,sk_c7) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_7387,c_1801]) ).
cnf(c_7539,plain,
( multiply(sk_c8,sk_c3) != X0
| X1 != X0
| X1 = multiply(sk_c8,sk_c3) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_7540,plain,
( multiply(sk_c8,sk_c3) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c8,sk_c3) ),
inference(instantiation,[status(thm)],[c_7539]) ).
cnf(c_7563,plain,
( multiply(sk_c8,sk_c3) = sk_c8
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_80,c_1092]) ).
cnf(c_7620,plain,
( ~ sP0_iProver_def
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(global_subsumption_just,[status(thm)],[c_6114,c_2706,c_6114]) ).
cnf(c_7629,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c7) != sk_c6
| sk_c7 = multiply(sk_c1,sk_c8)
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_6005,c_7620]) ).
cnf(c_7651,plain,
( ~ sP2_iProver_def
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(global_subsumption_just,[status(thm)],[c_6158,c_2707,c_6158]) ).
cnf(c_7662,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c7) != sk_c6
| sk_c7 = multiply(sk_c1,sk_c8)
| sP1_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_7629,c_7651]) ).
cnf(c_7664,plain,
( ~ sP2_iProver_def
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(resolution,[status(thm)],[c_7651,c_1660]) ).
cnf(c_7750,plain,
( inverse(sk_c7) = sk_c6
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_7563,c_68]) ).
cnf(c_7902,plain,
( multiply(inverse(X0),X0) != identity
| sk_c6 != identity
| sk_c6 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_678]) ).
cnf(c_7903,plain,
( multiply(inverse(sk_c8),sk_c8) != identity
| sk_c6 != identity
| sk_c6 = multiply(inverse(sk_c8),sk_c8) ),
inference(instantiation,[status(thm)],[c_7902]) ).
cnf(c_8251,plain,
( X0 != X1
| X2 != X1
| inverse(X0) = inverse(X2) ),
inference(resolution,[status(thm)],[c_1661,c_442]) ).
cnf(c_8405,plain,
( sk_c7 != X0
| sk_c6 != X0
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_683]) ).
cnf(c_8407,plain,
( sk_c7 != sk_c8
| sk_c6 != sk_c8
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_8405]) ).
cnf(c_8415,plain,
( sk_c6 != X0
| identity != X0
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_683]) ).
cnf(c_8425,plain,
( sk_c6 != sk_c8
| identity != sk_c8
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_8415]) ).
cnf(c_8523,plain,
( multiply(sk_c8,sk_c7) != multiply(identity,multiply(sk_c8,sk_c7))
| sk_c7 != multiply(identity,multiply(sk_c8,sk_c7))
| multiply(sk_c8,sk_c7) = sk_c7 ),
inference(instantiation,[status(thm)],[c_737]) ).
cnf(c_8823,plain,
( multiply(sk_c8,sk_c7) != X0
| sk_c7 != X0
| sk_c7 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_687]) ).
cnf(c_8825,plain,
( multiply(sk_c8,sk_c7) != sk_c8
| sk_c7 != sk_c8
| sk_c7 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_8823]) ).
cnf(c_8866,plain,
( sk_c6 != sk_c6
| identity != sk_c6
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_889]) ).
cnf(c_9027,plain,
( sk_c8 != inverse(sk_c7)
| sk_c7 != sk_c7
| multiply(sk_c8,sk_c7) = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_675]) ).
cnf(c_9257,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_87,c_1792]) ).
cnf(c_9446,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1801,c_88]) ).
cnf(c_9514,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_844,c_86]) ).
cnf(c_9972,plain,
multiply(X0,inverse(multiply(X1,X0))) = multiply(inverse(X1),identity),
inference(superposition,[status(thm)],[c_9446,c_9514]) ).
cnf(c_9980,plain,
multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(demodulation,[status(thm)],[c_9972,c_1792]) ).
cnf(c_10021,plain,
multiply(X0,inverse(identity)) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_87,c_9980]) ).
cnf(c_10086,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1081]) ).
cnf(c_10099,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_10086,c_54]) ).
cnf(c_10112,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_10099,c_1801]) ).
cnf(c_10117,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_64,c_1082]) ).
cnf(c_10130,plain,
( inverse(sk_c4) = sk_c7
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_10117,c_52]) ).
cnf(c_10142,plain,
( multiply(sk_c4,sk_c7) = identity
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_10130,c_1801]) ).
cnf(c_10258,plain,
( multiply(sk_c8,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_84,c_1090]) ).
cnf(c_10269,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_10258,c_72]) ).
cnf(c_10281,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_10269,c_1801]) ).
cnf(c_10282,plain,
( multiply(sk_c8,sk_c5) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_10269,c_87]) ).
cnf(c_10286,plain,
( multiply(sk_c8,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_82,c_1091]) ).
cnf(c_10359,plain,
( inverse(sk_c4) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_10286,c_70]) ).
cnf(c_10370,plain,
( multiply(sk_c4,sk_c7) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_10359,c_1801]) ).
cnf(c_10539,plain,
( multiply(sk_c8,sk_c7) != multiply(X0,sk_c7)
| identity != multiply(X0,sk_c7)
| multiply(sk_c8,sk_c7) = identity ),
inference(instantiation,[status(thm)],[c_694]) ).
cnf(c_10575,plain,
( inverse(sk_c4) != multiply(sk_c8,sk_c7)
| X0 != multiply(sk_c8,sk_c7)
| inverse(sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_2587]) ).
cnf(c_10578,plain,
( inverse(sk_c4) != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c8,sk_c7)
| inverse(sk_c4) = sk_c8 ),
inference(instantiation,[status(thm)],[c_10575]) ).
cnf(c_10599,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10112,c_65]) ).
cnf(c_10773,plain,
( X0 != X1
| X1 != sk_c7
| multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c1,sk_c8) = X0 ),
inference(resolution,[status(thm)],[c_1620,c_440]) ).
cnf(c_10831,plain,
( X0 != sk_c7
| multiply(sk_c4,sk_c7) = sk_c8
| X0 = multiply(sk_c1,sk_c8) ),
inference(resolution,[status(thm)],[c_1621,c_1660]) ).
cnf(c_10918,plain,
( inverse(sk_c1) != sk_c8
| sk_c6 != sk_c7
| ~ sP2_iProver_def
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(resolution,[status(thm)],[c_1622,c_436]) ).
cnf(c_10957,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1467]) ).
cnf(c_11153,plain,
( multiply(identity,multiply(sk_c8,sk_c7)) != sk_c6
| sk_c8 != sk_c6
| multiply(identity,multiply(sk_c8,sk_c7)) = sk_c8 ),
inference(instantiation,[status(thm)],[c_2379]) ).
cnf(c_11412,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_2085]) ).
cnf(c_11613,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c6
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_10142,c_63]) ).
cnf(c_11620,plain,
( inverse(sk_c7) != X0
| sk_c6 != X0
| inverse(sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1024]) ).
cnf(c_11816,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10281,c_53]) ).
cnf(c_11818,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10281,c_65]) ).
cnf(c_11880,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_10370,c_69]) ).
cnf(c_11882,plain,
( inverse(sk_c2) = sk_c8
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_10370,c_81]) ).
cnf(c_11883,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_10370,c_63]) ).
cnf(c_12219,plain,
( X0 != sk_c5
| X1 != sk_c8
| multiply(X0,X1) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(resolution,[status(thm)],[c_2671,c_2700]) ).
cnf(c_12222,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c5
| multiply(sk_c8,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(instantiation,[status(thm)],[c_12219]) ).
cnf(c_12313,plain,
( X0 != sk_c6
| X1 != sk_c7
| multiply(X1,X0) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(resolution,[status(thm)],[c_2671,c_2690]) ).
cnf(c_12316,plain,
( sk_c8 != sk_c7
| sk_c8 != sk_c6
| multiply(sk_c8,sk_c8) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(instantiation,[status(thm)],[c_12313]) ).
cnf(c_13302,plain,
( multiply(identity,multiply(X0,sk_c7)) != X1
| multiply(sk_c1,sk_c8) != X1
| multiply(identity,multiply(X0,sk_c7)) = multiply(sk_c1,sk_c8) ),
inference(instantiation,[status(thm)],[c_2785]) ).
cnf(c_13303,plain,
( multiply(identity,multiply(X0,sk_c7)) != multiply(sk_c1,sk_c8)
| sk_c7 != multiply(sk_c1,sk_c8)
| sk_c7 = multiply(identity,multiply(X0,sk_c7)) ),
inference(instantiation,[status(thm)],[c_3374]) ).
cnf(c_13305,plain,
( multiply(identity,multiply(sk_c8,sk_c7)) != sk_c8
| multiply(sk_c1,sk_c8) != sk_c8
| multiply(identity,multiply(sk_c8,sk_c7)) = multiply(sk_c1,sk_c8) ),
inference(instantiation,[status(thm)],[c_13302]) ).
cnf(c_13306,plain,
( multiply(identity,multiply(sk_c8,sk_c7)) != multiply(sk_c1,sk_c8)
| sk_c7 != multiply(sk_c1,sk_c8)
| sk_c7 = multiply(identity,multiply(sk_c8,sk_c7)) ),
inference(instantiation,[status(thm)],[c_13303]) ).
cnf(c_13849,plain,
( sk_c6 != X0
| identity != X0
| identity = sk_c6 ),
inference(instantiation,[status(thm)],[c_1024]) ).
cnf(c_13851,plain,
( sk_c6 != sk_c8
| identity != sk_c8
| identity = sk_c6 ),
inference(instantiation,[status(thm)],[c_13849]) ).
cnf(c_14688,plain,
( X0 != X1
| X2 != identity
| multiply(X2,X0) = X1 ),
inference(resolution,[status(thm)],[c_2728,c_2671]) ).
cnf(c_14689,plain,
( sk_c8 != sk_c8
| sk_c8 != identity
| multiply(sk_c8,sk_c8) = sk_c8 ),
inference(instantiation,[status(thm)],[c_14688]) ).
cnf(c_14755,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_3207]) ).
cnf(c_14756,plain,
( sk_c8 != identity
| identity != identity
| identity = sk_c8 ),
inference(instantiation,[status(thm)],[c_14755]) ).
cnf(c_14884,plain,
( ~ sP2_iProver_def
| inverse(sk_c4) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_7326,c_676,c_701,c_2534,c_6393,c_6434,c_7164,c_7387,c_8825,c_11412]) ).
cnf(c_14894,plain,
( ~ sP2_iProver_def
| sk_c7 = inverse(sk_c4) ),
inference(resolution,[status(thm)],[c_14884,c_1660]) ).
cnf(c_14897,plain,
( ~ sP2_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_7510,c_66,c_676,c_682,c_701,c_890,c_1441,c_6175,c_7252,c_7510,c_8407]) ).
cnf(c_15179,plain,
( sk_c8 != X0
| sk_c5 != X0
| sk_c5 = sk_c8 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_15344,plain,
( sk_c6 != sk_c7
| ~ sP2_iProver_def
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_10918,c_66,c_1441,c_10918]) ).
cnf(c_15361,plain,
( inverse(sk_c5) != sk_c8
| sk_c6 != sk_c7
| ~ sP2_iProver_def ),
inference(resolution,[status(thm)],[c_15344,c_436]) ).
cnf(c_15843,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| identity != multiply(sk_c1,sk_c8)
| identity = sk_c7 ),
inference(instantiation,[status(thm)],[c_3373]) ).
cnf(c_15844,plain,
( X0 != sk_c7
| identity != sk_c7
| identity = X0 ),
inference(instantiation,[status(thm)],[c_3207]) ).
cnf(c_15845,plain,
( X0 != sk_c7
| identity != sk_c7
| X0 = identity ),
inference(instantiation,[status(thm)],[c_1494]) ).
cnf(c_15848,plain,
( sk_c8 != sk_c7
| identity != sk_c7
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_15845]) ).
cnf(c_15849,plain,
( sk_c8 != sk_c7
| identity != sk_c7
| identity = sk_c8 ),
inference(instantiation,[status(thm)],[c_15844]) ).
cnf(c_16693,plain,
( multiply(X0,X1) != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(sk_c8,sk_c7)
| multiply(X0,X1) = sk_c7 ),
inference(instantiation,[status(thm)],[c_7106]) ).
cnf(c_16697,plain,
( multiply(sk_c8,sk_c8) != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_16693]) ).
cnf(c_19600,plain,
( sk_c7 != X0
| identity != X0
| identity = sk_c7 ),
inference(instantiation,[status(thm)],[c_746]) ).
cnf(c_20089,plain,
( multiply(sk_c4,sk_c7) != identity
| identity != identity
| identity = multiply(sk_c4,sk_c7) ),
inference(instantiation,[status(thm)],[c_5824]) ).
cnf(c_20738,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8
| sk_c8 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10599,c_1079]) ).
cnf(c_21593,plain,
( multiply(sk_c8,sk_c3) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_11882,c_1088]) ).
cnf(c_22010,plain,
( sk_c8 = sk_c7
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_11883,c_445,c_676,c_964,c_1447,c_1492,c_3404,c_5827,c_7517,c_7540,c_11880,c_20089,c_21593]) ).
cnf(c_22014,plain,
( inverse(sk_c8) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_22010,c_9257]) ).
cnf(c_22017,plain,
( ~ sP0_iProver_def
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_22010,c_4326]) ).
cnf(c_22019,plain,
( multiply(sk_c8,X0) = X0
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_22010,c_86]) ).
cnf(c_22137,plain,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP3_iProver_def
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_22019,c_437]) ).
cnf(c_22156,plain,
( sk_c8 = sk_c7
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_22019,c_10282]) ).
cnf(c_22176,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| inverse(sk_c8) != sk_c8
| ~ sP3_iProver_def
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_22137]) ).
cnf(c_22916,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| identity != multiply(sk_c1,sk_c8)
| sk_c7 = identity ),
inference(instantiation,[status(thm)],[c_3374]) ).
cnf(c_22917,plain,
( sk_c7 != X0
| identity != X0
| sk_c7 = identity ),
inference(instantiation,[status(thm)],[c_677]) ).
cnf(c_22920,plain,
( sk_c7 != sk_c8
| identity != sk_c8
| sk_c7 = identity ),
inference(instantiation,[status(thm)],[c_22917]) ).
cnf(c_23245,plain,
( multiply(sk_c1,sk_c8) != X0
| identity != X0
| identity = multiply(sk_c1,sk_c8) ),
inference(instantiation,[status(thm)],[c_7372]) ).
cnf(c_23326,plain,
inverse(inverse(identity)) = inverse(identity),
inference(superposition,[status(thm)],[c_10021,c_86]) ).
cnf(c_23327,plain,
inverse(inverse(inverse(inverse(identity)))) = identity,
inference(superposition,[status(thm)],[c_10021,c_87]) ).
cnf(c_23328,plain,
inverse(identity) = identity,
inference(light_normalisation,[status(thm)],[c_23327,c_23326]) ).
cnf(c_23330,plain,
~ sP2_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_4324,c_445,c_659,c_676,c_684,c_685,c_743,c_744,c_964,c_1018,c_1147,c_1148,c_1383,c_1492,c_1886,c_2635,c_3336,c_4324,c_5827,c_6581,c_6903,c_6994,c_7164,c_7450,c_7651,c_7664,c_8523,c_10957,c_11153,c_13305,c_13306,c_14894,c_14897,c_15361,c_20089,c_20738,c_22010]) ).
cnf(c_23374,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = X0
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_3391,c_1863]) ).
cnf(c_23378,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = X0
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1863]) ).
cnf(c_23409,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[c_10021,c_23328]) ).
cnf(c_23421,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_1792,c_23374]) ).
cnf(c_23432,plain,
( inverse(sk_c1) = sk_c8
| sk_c6 = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_23421,c_65]) ).
cnf(c_23474,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1863,c_437]) ).
cnf(c_23552,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_64,c_1801]) ).
cnf(c_23560,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1801,c_88]) ).
cnf(c_23626,plain,
( inverse(sk_c4) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_23552,c_58]) ).
cnf(c_23633,plain,
( multiply(sk_c4,sk_c7) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_23626,c_1801]) ).
cnf(c_23637,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_23409,c_1792]) ).
cnf(c_23639,plain,
( sk_c8 != sk_c7
| ~ sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_23474,c_23637]) ).
cnf(c_23673,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_23633,c_63]) ).
cnf(c_23960,plain,
( multiply(sk_c1,multiply(sk_c8,inverse(sk_c7))) = identity
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_23560]) ).
cnf(c_25502,plain,
( sk_c8 != sk_c7
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2130,c_676,c_701,c_1492,c_3216,c_4325,c_5827,c_6921,c_14756,c_20089,c_22920]) ).
cnf(c_26500,plain,
( sk_c6 = identity
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_23432,c_62,c_445,c_659,c_663,c_676,c_679,c_682,c_684,c_685,c_691,c_692,c_743,c_744,c_890,c_964,c_1018,c_1147,c_1148,c_1383,c_1492,c_1539,c_1886,c_2635,c_3336,c_4324,c_5827,c_6581,c_6903,c_6994,c_7164,c_7450,c_7651,c_7664,c_8523,c_8866,c_10599,c_10957,c_11153,c_11613,c_11818,c_12316,c_13305,c_13306,c_13851,c_14756,c_14894,c_14897,c_15361,c_20089,c_20738,c_22010,c_23639,c_25502]) ).
cnf(c_26501,plain,
( inverse(sk_c1) = sk_c8
| sk_c6 = identity ),
inference(renaming,[status(thm)],[c_26500]) ).
cnf(c_28885,plain,
( X0 != sk_c6
| X1 != sk_c7
| X2 != sk_c8
| multiply(X2,X1) = X0
| inverse(sk_c4) = sk_c7 ),
inference(resolution,[status(thm)],[c_5883,c_2671]) ).
cnf(c_28886,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c7
| sk_c8 != sk_c6
| multiply(sk_c8,sk_c8) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(instantiation,[status(thm)],[c_28885]) ).
cnf(c_28968,plain,
( X0 != sk_c6
| X1 != sk_c7
| X2 != sk_c8
| multiply(X2,X1) = X0
| inverse(sk_c5) = sk_c8 ),
inference(resolution,[status(thm)],[c_5949,c_2671]) ).
cnf(c_28969,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c7
| sk_c8 != sk_c6
| multiply(sk_c8,sk_c8) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(instantiation,[status(thm)],[c_28968]) ).
cnf(c_29075,plain,
( sk_c8 = identity
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_23673,c_62,c_445,c_659,c_663,c_676,c_679,c_682,c_684,c_685,c_691,c_692,c_743,c_744,c_890,c_964,c_1018,c_1147,c_1148,c_1383,c_1492,c_1539,c_1886,c_2635,c_3336,c_4324,c_5827,c_6581,c_6903,c_6994,c_7164,c_7450,c_7651,c_7664,c_8523,c_10957,c_11153,c_11613,c_12316,c_13305,c_13306,c_14894,c_14897,c_15361,c_20089,c_20738,c_22010,c_23639,c_25502]) ).
cnf(c_29076,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = identity ),
inference(renaming,[status(thm)],[c_29075]) ).
cnf(c_29086,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_29076,c_1801]) ).
cnf(c_30906,plain,
( multiply(sk_c8,sk_c7) != multiply(inverse(sk_c7),sk_c7)
| identity != multiply(inverse(sk_c7),sk_c7)
| multiply(sk_c8,sk_c7) = identity ),
inference(instantiation,[status(thm)],[c_10539]) ).
cnf(c_36004,plain,
( X0 != sk_c7
| inverse(X0) = inverse(multiply(sk_c1,sk_c8))
| inverse(sk_c7) = sk_c6 ),
inference(resolution,[status(thm)],[c_8251,c_56]) ).
cnf(c_36005,plain,
( X0 != sk_c7
| inverse(X0) = inverse(multiply(sk_c1,sk_c8))
| inverse(sk_c4) = sk_c7 ),
inference(resolution,[status(thm)],[c_8251,c_58]) ).
cnf(c_36006,plain,
( X0 != sk_c7
| inverse(X0) = inverse(multiply(sk_c1,sk_c8))
| inverse(sk_c5) = sk_c8 ),
inference(resolution,[status(thm)],[c_8251,c_60]) ).
cnf(c_36334,plain,
( sk_c6 != sk_c7
| identity != sk_c7
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_8415]) ).
cnf(c_39279,plain,
( multiply(X0,X1) != X2
| sk_c8 != X2
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_39280,plain,
( multiply(sk_c8,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_39279]) ).
cnf(c_39795,plain,
( multiply(sk_c7,sk_c6) != X0
| sk_c8 != X0
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(instantiation,[status(thm)],[c_2379]) ).
cnf(c_40693,plain,
( inverse(sk_c7) = sk_c6
| inverse(sk_c7) = identity ),
inference(superposition,[status(thm)],[c_23960,c_23378]) ).
cnf(c_43791,plain,
( sk_c7 != identity
| identity != identity
| identity = sk_c7 ),
inference(instantiation,[status(thm)],[c_19600]) ).
cnf(c_45590,plain,
( multiply(sk_c1,sk_c8) != identity
| identity != identity
| identity = multiply(sk_c1,sk_c8) ),
inference(instantiation,[status(thm)],[c_23245]) ).
cnf(c_49113,plain,
( multiply(sk_c7,sk_c6) != multiply(X0,X1)
| sk_c8 != multiply(X0,X1)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(instantiation,[status(thm)],[c_39795]) ).
cnf(c_49114,plain,
( sk_c7 != X0
| sk_c6 != X1
| multiply(sk_c7,sk_c6) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_49115,plain,
( multiply(sk_c7,sk_c6) != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c8,sk_c8)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(instantiation,[status(thm)],[c_49113]) ).
cnf(c_49116,plain,
( sk_c7 != sk_c8
| sk_c6 != sk_c8
| multiply(sk_c7,sk_c6) = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_49114]) ).
cnf(c_51179,plain,
( inverse(sk_c7) != identity
| sk_c6 != identity
| inverse(sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_11620]) ).
cnf(c_51188,plain,
( multiply(sk_c8,sk_c7) != identity
| multiply(sk_c5,sk_c8) != identity
| multiply(sk_c8,sk_c7) = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_7453]) ).
cnf(c_51190,plain,
( multiply(sk_c5,sk_c8) != identity
| X0 != identity
| X0 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_2244]) ).
cnf(c_51191,plain,
( multiply(sk_c5,sk_c8) != identity
| sk_c8 != identity
| sk_c8 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_51190]) ).
cnf(c_51223,plain,
( sk_c8 != identity
| sk_c5 != identity
| sk_c5 = sk_c8 ),
inference(instantiation,[status(thm)],[c_15179]) ).
cnf(c_51456,plain,
( multiply(sk_c8,sk_c7) != multiply(inverse(X0),X0)
| sk_c6 != multiply(inverse(X0),X0)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_661]) ).
cnf(c_51459,plain,
( X0 != multiply(inverse(X1),X1)
| sk_c6 != multiply(inverse(X1),X1)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_683]) ).
cnf(c_51460,plain,
( sk_c8 != multiply(inverse(sk_c8),sk_c8)
| sk_c6 != multiply(inverse(sk_c8),sk_c8)
| sk_c6 = sk_c8 ),
inference(instantiation,[status(thm)],[c_51459]) ).
cnf(c_51876,plain,
inverse(sk_c7) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_36004,c_682,c_890,c_1492,c_3297,c_6661,c_7750,c_8425,c_15849,c_40693,c_43791,c_51179]) ).
cnf(c_51882,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_438,c_51876]) ).
cnf(c_51887,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 = multiply(sk_c1,sk_c8)
| sP1_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_7662,c_51876]) ).
cnf(c_51895,plain,
inverse(sk_c4) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_36005,c_82,c_64,c_70,c_445,c_659,c_676,c_682,c_684,c_685,c_701,c_743,c_744,c_890,c_964,c_1018,c_1147,c_1148,c_1383,c_1393,c_1492,c_1886,c_2616,c_2635,c_2869,c_3146,c_3297,c_3336,c_4326,c_4324,c_5827,c_6487,c_6581,c_6661,c_6903,c_6994,c_7164,c_7387,c_7450,c_7651,c_7664,c_7750,c_8425,c_8523,c_10957,c_11153,c_13305,c_13306,c_14894,c_14897,c_15361,c_15848,c_15849,c_20089,c_20738,c_22010,c_28886,c_39280,c_40693,c_43791,c_49115,c_49116,c_51179]) ).
cnf(c_51908,plain,
inverse(sk_c5) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_36006,c_84,c_72,c_445,c_676,c_682,c_701,c_890,c_1492,c_1572,c_2288,c_2615,c_2707,c_2868,c_4326,c_6175,c_7252,c_15843,c_15848,c_23330,c_28969,c_39280,c_45590,c_49115,c_49116,c_51876]) ).
cnf(c_51920,plain,
( sP1_iProver_def
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_51882,c_445,c_659,c_676,c_682,c_684,c_685,c_743,c_744,c_945,c_964,c_1019,c_1018,c_1147,c_1148,c_1383,c_1492,c_1529,c_1836,c_1886,c_2369,c_2606,c_2635,c_3336,c_4326,c_4324,c_5827,c_6467,c_6581,c_6903,c_6994,c_7115,c_7164,c_7450,c_7651,c_7664,c_8523,c_10957,c_11153,c_12222,c_13305,c_13306,c_14894,c_14897,c_15361,c_15843,c_15848,c_16697,c_20089,c_20738,c_22010,c_22017,c_22014,c_22156,c_22176,c_23639,c_29086,c_45590,c_51223,c_51887,c_51882]) ).
cnf(c_51921,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| sP1_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_51920]) ).
cnf(c_51922,plain,
( multiply(sk_c7,sk_c6) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_51921,c_82,c_64,c_70,c_445,c_659,c_676,c_682,c_684,c_685,c_701,c_742,c_743,c_744,c_890,c_945,c_964,c_993,c_1019,c_1018,c_1147,c_1148,c_1151,c_1383,c_1393,c_1427,c_1492,c_1529,c_1712,c_1836,c_1886,c_2089,c_2098,c_2369,c_2616,c_2606,c_2635,c_2869,c_3131,c_3146,c_3297,c_3336,c_4326,c_4325,c_4324,c_5827,c_6467,c_6487,c_6581,c_6661,c_6903,c_6994,c_7018,c_7115,c_7164,c_7387,c_7450,c_7651,c_7664,c_7750,c_8425,c_8523,c_10578,c_10957,c_11153,c_12222,c_13305,c_13306,c_14894,c_14897,c_15361,c_15848,c_15849,c_16697,c_20089,c_20738,c_22010,c_22014,c_22156,c_22176,c_23639,c_25502,c_28886,c_39280,c_40693,c_43791,c_49115,c_49116,c_51179,c_51191,c_51223,c_51921]) ).
cnf(c_51923,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_51922]) ).
cnf(c_51924,plain,
( multiply(sk_c7,sk_c6) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_51923,c_445,c_676,c_682,c_743,c_744,c_945,c_1019,c_1018,c_1529,c_1836,c_2369,c_2606,c_6467,c_7115,c_12222,c_16697,c_22010,c_22014,c_22156,c_22176,c_23639,c_51223,c_51923]) ).
cnf(c_51925,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8 ),
inference(renaming,[status(thm)],[c_51924]) ).
cnf(c_51934,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(resolution,[status(thm)],[c_51925,c_61]) ).
cnf(c_51940,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| ~ sP1_iProver_def ),
inference(resolution,[status(thm)],[c_51925,c_6875]) ).
cnf(c_51948,plain,
inverse(sk_c1) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_51934,c_87,c_91,c_445,c_676,c_682,c_890,c_968,c_1025,c_1492,c_1700,c_3297,c_3828,c_4760,c_6398,c_6661,c_7750,c_7902,c_7903,c_8425,c_9027,c_15849,c_26501,c_29076,c_40693,c_43791,c_51179,c_51456,c_51460,c_51934]) ).
cnf(c_51996,plain,
( inverse(sk_c4) != sk_c7
| X0 != sk_c7
| ~ sP0_iProver_def
| X0 = multiply(sk_c1,sk_c8) ),
inference(resolution,[status(thm)],[c_10831,c_434]) ).
cnf(c_52406,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_51996,c_1492,c_2706,c_4326,c_6114,c_15843,c_15848,c_22017,c_29086,c_45590]) ).
cnf(c_52463,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_51940,c_82,c_64,c_70,c_445,c_659,c_676,c_682,c_684,c_685,c_701,c_742,c_743,c_744,c_890,c_964,c_968,c_993,c_1018,c_1038,c_1147,c_1148,c_1151,c_1383,c_1393,c_1427,c_1492,c_1529,c_1712,c_1886,c_2089,c_2098,c_2401,c_2616,c_2635,c_2869,c_3131,c_3146,c_3297,c_3336,c_4326,c_4325,c_4324,c_5827,c_6398,c_6487,c_6581,c_6661,c_6903,c_6994,c_7018,c_7164,c_7387,c_7450,c_7651,c_7664,c_7750,c_8425,c_8523,c_9027,c_10578,c_10957,c_11153,c_13305,c_13306,c_14894,c_14897,c_15361,c_15848,c_15849,c_20089,c_20738,c_22010,c_25502,c_28886,c_30906,c_39280,c_40693,c_43791,c_49115,c_49116,c_51179,c_51191,c_51188]) ).
cnf(c_53549,plain,
( X0 != multiply(inverse(X1),X1)
| sk_c7 != identity
| multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c1,sk_c8) = X0 ),
inference(resolution,[status(thm)],[c_10773,c_1656]) ).
cnf(c_53550,plain,
( sk_c8 != multiply(inverse(sk_c8),sk_c8)
| sk_c7 != identity
| multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c8 ),
inference(instantiation,[status(thm)],[c_53549]) ).
cnf(c_55079,plain,
( multiply(sk_c8,sk_c7) != identity
| sk_c6 != identity
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_656]) ).
cnf(c_55082,plain,
( X0 != identity
| sk_c6 != identity
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1024]) ).
cnf(c_55083,plain,
( X0 != identity
| sk_c6 != identity
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_683]) ).
cnf(c_55084,plain,
( sk_c8 != identity
| sk_c6 != identity
| sk_c6 = sk_c8 ),
inference(instantiation,[status(thm)],[c_55083]) ).
cnf(c_55085,plain,
( sk_c8 != identity
| sk_c6 != identity
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_55082]) ).
cnf(c_56395,negated_conjecture,
inverse(sk_c1) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_62,c_51948]) ).
cnf(c_56414,negated_conjecture,
inverse(sk_c4) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_52,c_51895]) ).
cnf(c_56422,negated_conjecture,
inverse(sk_c5) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_54,c_51908]) ).
cnf(c_56531,negated_conjecture,
~ sP3_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_437,c_445,c_676,c_682,c_743,c_744,c_890,c_945,c_968,c_1019,c_1018,c_1038,c_1492,c_1529,c_1836,c_2369,c_2401,c_2606,c_2702,c_3297,c_6398,c_6467,c_6661,c_7115,c_7291,c_7750,c_8425,c_9027,c_11816,c_12222,c_15849,c_16697,c_22010,c_22014,c_22156,c_22176,c_23639,c_30906,c_40693,c_43791,c_51179,c_51188,c_51223,c_55085]) ).
cnf(c_56593,plain,
multiply(sk_c4,sk_c7) = identity,
inference(superposition,[status(thm)],[c_56414,c_1801]) ).
cnf(c_56594,plain,
multiply(sk_c5,sk_c8) = identity,
inference(superposition,[status(thm)],[c_56422,c_1801]) ).
cnf(c_56595,plain,
multiply(sk_c1,sk_c8) = identity,
inference(superposition,[status(thm)],[c_56395,c_1801]) ).
cnf(c_56628,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_53,c_56594]) ).
cnf(c_56678,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_56628,c_56593,c_56594,c_56595,c_56531,c_55084,c_55079,c_53550,c_52463,c_52406,c_51882,c_51876,c_51191,c_49116,c_49115,c_45590,c_39280,c_36334,c_30906,c_23330,c_22916,c_22010,c_20089,c_15848,c_15843,c_14689,c_10957,c_9027,c_7373,c_6398,c_6111,c_6005,c_5827,c_5596,c_4760,c_3377,c_2401,c_2089,c_1529,c_1492,c_1018,c_968,c_744,c_743,c_682,c_681,c_676,c_659,c_658,c_445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP283-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 23:39:36 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 41.49/6.26 % SZS status Started for theBenchmark.p
% 41.49/6.26 % SZS status Unsatisfiable for theBenchmark.p
% 41.49/6.26
% 41.49/6.26 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 41.49/6.26
% 41.49/6.26 ------ iProver source info
% 41.49/6.26
% 41.49/6.26 git: date: 2024-05-02 19:28:25 +0000
% 41.49/6.26 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 41.49/6.26 git: non_committed_changes: false
% 41.49/6.26
% 41.49/6.26 ------ Parsing...successful
% 41.49/6.26
% 41.49/6.26
% 41.49/6.26
% 41.49/6.26 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 41.49/6.26
% 41.49/6.26 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 41.49/6.26
% 41.49/6.26 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 41.49/6.26 ------ Proving...
% 41.49/6.26 ------ Problem Properties
% 41.49/6.26
% 41.49/6.26
% 41.49/6.26 clauses 44
% 41.49/6.26 conjectures 41
% 41.49/6.26 EPR 0
% 41.49/6.26 Horn 7
% 41.49/6.26 unary 3
% 41.49/6.26 binary 36
% 41.49/6.26 lits 94
% 41.49/6.26 lits eq 86
% 41.49/6.26 fd_pure 0
% 41.49/6.26 fd_pseudo 0
% 41.49/6.26 fd_cond 0
% 41.49/6.26 fd_pseudo_cond 0
% 41.49/6.26 AC symbols 0
% 41.49/6.26
% 41.49/6.26 ------ Input Options Time Limit: Unbounded
% 41.49/6.26
% 41.49/6.26
% 41.49/6.26 ------
% 41.49/6.26 Current options:
% 41.49/6.26 ------
% 41.49/6.26
% 41.49/6.26
% 41.49/6.26
% 41.49/6.26
% 41.49/6.26 ------ Proving...
% 41.49/6.26
% 41.49/6.26
% 41.49/6.26 % SZS status Unsatisfiable for theBenchmark.p
% 41.49/6.26
% 41.49/6.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 41.49/6.26
% 41.49/6.27
%------------------------------------------------------------------------------