TSTP Solution File: GRP228-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP228-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:58:47 EDT 2023
% Result : Unsatisfiable 21.15s 3.70s
% Output : CNFRefutation 21.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 32
% Syntax : Number of clauses : 373 ( 54 unt; 115 nHn; 325 RR)
% Number of literals : 923 ( 892 equ; 442 neg)
% Maximal clause size : 14 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 303 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_85,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_88,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_89,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_94,negated_conjecture,
( multiply(X0,X1) != sk_c10
| multiply(X2,X1) != X3
| multiply(X1,sk_c9) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| multiply(X5,sk_c10) != X6
| multiply(X7,sk_c9) != sk_c10
| multiply(sk_c10,X6) != sk_c9
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X3) != X1
| inverse(X4) != sk_c10
| inverse(X5) != sk_c10
| inverse(X7) != sk_c10
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_95,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_96,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_97,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_98,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(sk_c10,multiply(X2,sk_c10)) != sk_c9
| multiply(X1,inverse(X1)) != sk_c10
| multiply(inverse(X1),sk_c9) != sk_c10
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| inverse(X0) != multiply(X0,inverse(X1))
| inverse(X2) != sk_c10
| inverse(X3) != sk_c10
| inverse(X4) != sk_c10
| inverse(sk_c10) != sk_c9 ),
inference(unflattening,[status(thm)],[c_94]) ).
cnf(c_99,plain,
multiply(identity,sk_c10) = sk_c10,
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_100,plain,
multiply(inverse(sk_c10),sk_c10) = identity,
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_515,negated_conjecture,
( multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c10
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_98]) ).
cnf(c_516,negated_conjecture,
( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
| inverse(X0) != sk_c10
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_98]) ).
cnf(c_517,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| inverse(X1) != multiply(X1,inverse(X0))
| inverse(multiply(X1,inverse(X0))) != inverse(X0)
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_98]) ).
cnf(c_518,negated_conjecture,
( inverse(sk_c10) != sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_98]) ).
cnf(c_519,plain,
X0 = X0,
theory(equality) ).
cnf(c_520,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_521,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_522,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_523,plain,
( sk_c10 != sk_c10
| inverse(sk_c10) = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_521]) ).
cnf(c_525,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_519]) ).
cnf(c_528,plain,
( inverse(multiply(sk_c10,inverse(sk_c10))) != inverse(sk_c10)
| multiply(inverse(sk_c10),sk_c9) != sk_c10
| multiply(sk_c10,inverse(sk_c10)) != sk_c10
| inverse(sk_c10) != multiply(sk_c10,inverse(sk_c10))
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_517]) ).
cnf(c_801,plain,
( multiply(sk_c10,sk_c4) = identity
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_50,c_96]) ).
cnf(c_1010,plain,
( inverse(sk_c4) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_87,c_515]) ).
cnf(c_1011,plain,
( inverse(sk_c4) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_51,c_515]) ).
cnf(c_1019,plain,
( inverse(sk_c1) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_59,c_515]) ).
cnf(c_1020,plain,
( inverse(sk_c1) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_58,c_515]) ).
cnf(c_1021,plain,
( inverse(identity) != sk_c10
| sk_c10 != sk_c9
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_95,c_515]) ).
cnf(c_1084,plain,
( inverse(inverse(sk_c10)) != sk_c10
| multiply(sk_c10,identity) != sk_c9
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_96,c_516]) ).
cnf(c_1240,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c10,X0)
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_88,c_97]) ).
cnf(c_1241,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c10,X0)
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_52,c_97]) ).
cnf(c_1268,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_96,c_97]) ).
cnf(c_1271,plain,
( multiply(sk_c10,multiply(sk_c4,X0)) = multiply(identity,X0)
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_801,c_97]) ).
cnf(c_1304,plain,
( multiply(sk_c10,multiply(sk_c4,X0)) = X0
| inverse(sk_c1) = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_1271,c_95]) ).
cnf(c_1452,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_1454,plain,
( sk_c10 != X0
| sk_c9 != X0
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_1470,plain,
( inverse(X0) != X1
| sk_c10 != X1
| sk_c10 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_1473,plain,
( inverse(sk_c10) != sk_c9
| X0 != sk_c9
| inverse(sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_1452]) ).
cnf(c_1492,plain,
( multiply(identity,sk_c9) != sk_c9
| inverse(sk_c10) != sk_c9
| inverse(sk_c10) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_1473]) ).
cnf(c_1493,plain,
multiply(identity,sk_c9) = sk_c9,
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_1495,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_1510,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1268,c_95]) ).
cnf(c_1521,plain,
( multiply(inverse(sk_c4),sk_c10) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c3 ),
inference(superposition,[status(thm)],[c_78,c_1510]) ).
cnf(c_1522,plain,
( multiply(inverse(sk_c4),sk_c10) = sk_c9
| multiply(sk_c10,sk_c3) = sk_c9 ),
inference(superposition,[status(thm)],[c_69,c_1510]) ).
cnf(c_1524,plain,
( multiply(inverse(sk_c4),sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_87,c_1510]) ).
cnf(c_1525,plain,
( multiply(inverse(sk_c4),sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_51,c_1510]) ).
cnf(c_1549,plain,
( multiply(inverse(sk_c10),sk_c9) = sk_c3
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_67,c_1510]) ).
cnf(c_1553,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c10
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_80,c_1510]) ).
cnf(c_1554,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c10
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_77,c_1510]) ).
cnf(c_1555,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_76,c_1510]) ).
cnf(c_1556,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_95,c_1510]) ).
cnf(c_1557,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_96,c_1510]) ).
cnf(c_1569,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1510,c_1510]) ).
cnf(c_1692,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_1714,plain,
( inverse(sk_c10) != sk_c9
| sk_c10 != sk_c9
| sk_c10 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_1470]) ).
cnf(c_1756,plain,
( multiply(sk_c10,multiply(sk_c2,sk_c10)) != sk_c9
| inverse(sk_c2) != sk_c10
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_516]) ).
cnf(c_1760,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1557,c_1569]) ).
cnf(c_1768,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1760,c_1556]) ).
cnf(c_1796,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_1817,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1569,c_96]) ).
cnf(c_1820,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1569,c_1510]) ).
cnf(c_1821,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_1569,c_1760]) ).
cnf(c_1822,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1821,c_1760]) ).
cnf(c_1855,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),sk_c9) != sk_c10
| sk_c10 != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_517,c_1817]) ).
cnf(c_1862,plain,
inverse(inverse(sk_c10)) = sk_c10,
inference(instantiation,[status(thm)],[c_1822]) ).
cnf(c_1863,plain,
multiply(sk_c10,inverse(sk_c10)) = identity,
inference(instantiation,[status(thm)],[c_1817]) ).
cnf(c_1879,plain,
( inverse(multiply(sk_c10,inverse(sk_c10))) != inverse(sk_c10)
| multiply(inverse(sk_c10),sk_c9) != sk_c10
| multiply(sk_c10,inverse(sk_c10)) != inverse(sk_c10)
| sk_c10 != identity
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_1855]) ).
cnf(c_1887,plain,
( multiply(inverse(X0),sk_c9) != X1
| sk_c10 != X1
| multiply(inverse(X0),sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_1965,plain,
( multiply(sk_c10,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_86,c_1524]) ).
cnf(c_1992,plain,
( multiply(inverse(sk_c10),sk_c9) = sk_c10
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_1965,c_1510]) ).
cnf(c_2022,plain,
( multiply(sk_c10,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_50,c_1525]) ).
cnf(c_2041,plain,
( multiply(inverse(sk_c10),sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_2022,c_1510]) ).
cnf(c_2186,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_89,c_1817]) ).
cnf(c_2187,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_53,c_1817]) ).
cnf(c_2197,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1817,c_97]) ).
cnf(c_2450,plain,
( inverse(sk_c10) != multiply(identity,sk_c9)
| X0 != multiply(identity,sk_c9)
| inverse(sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_1452]) ).
cnf(c_2469,plain,
( inverse(sk_c10) = sk_c1
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_49,c_1822]) ).
cnf(c_2470,plain,
( inverse(sk_c10) = sk_c4
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_86,c_1822]) ).
cnf(c_2472,plain,
( inverse(sk_c8) = sk_c5
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_89,c_1822]) ).
cnf(c_2548,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1692]) ).
cnf(c_2549,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_519]) ).
cnf(c_2550,plain,
( sk_c10 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_2548]) ).
cnf(c_2565,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = X0
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_89,c_1820]) ).
cnf(c_2566,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = X0
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_53,c_1820]) ).
cnf(c_2571,plain,
( multiply(sk_c2,multiply(sk_c10,X0)) = X0
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_85,c_1820]) ).
cnf(c_2577,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c10 != sk_c9
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_1820,c_516]) ).
cnf(c_2600,plain,
( sk_c10 != sk_c9
| ~ sP1_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2577,c_1822]) ).
cnf(c_2667,plain,
( multiply(sk_c2,multiply(sk_c10,X0)) = X0
| inverse(sk_c10) = sk_c4 ),
inference(superposition,[status(thm)],[c_2470,c_1820]) ).
cnf(c_2711,plain,
( multiply(sk_c2,sk_c10) = identity
| inverse(sk_c8) = sk_c5 ),
inference(superposition,[status(thm)],[c_2472,c_1817]) ).
cnf(c_2915,plain,
( inverse(sk_c10) != sk_c9
| X0 != sk_c9
| X0 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_1796]) ).
cnf(c_2924,plain,
( inverse(sk_c10) != multiply(identity,sk_c9)
| X0 != multiply(identity,sk_c9)
| X0 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_1796]) ).
cnf(c_3280,plain,
( inverse(sk_c2) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_2186,c_88]) ).
cnf(c_3293,plain,
( multiply(sk_c2,multiply(sk_c10,X0)) = X0
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3280,c_1820]) ).
cnf(c_3295,plain,
( multiply(sk_c2,sk_c10) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3280,c_1817]) ).
cnf(c_3339,plain,
( inverse(sk_c1) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_2187,c_52]) ).
cnf(c_3726,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_96,c_97]) ).
cnf(c_3953,plain,
( multiply(inverse(X0),sk_c9) != X1
| X2 != X1
| multiply(inverse(X0),sk_c9) = X2 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_3954,plain,
( multiply(inverse(X0),sk_c9) != multiply(X1,X2)
| sk_c10 != multiply(X1,X2)
| multiply(inverse(X0),sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1887]) ).
cnf(c_3955,plain,
( inverse(X0) != X1
| sk_c9 != X2
| multiply(inverse(X0),sk_c9) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_522]) ).
cnf(c_4039,plain,
( multiply(sk_c5,multiply(sk_c8,inverse(sk_c10))) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_88,c_2197]) ).
cnf(c_4066,plain,
( multiply(sk_c2,multiply(sk_c10,inverse(sk_c3))) = identity
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_76,c_2197]) ).
cnf(c_4373,plain,
( multiply(sk_c10,sk_c3) != X0
| sk_c10 != X0
| sk_c10 = multiply(sk_c10,sk_c3) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_4374,plain,
( multiply(sk_c10,sk_c3) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c10,sk_c3) ),
inference(instantiation,[status(thm)],[c_4373]) ).
cnf(c_4437,plain,
( multiply(identity,sk_c9) != X0
| sk_c10 != X0
| sk_c10 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_4585,plain,
( multiply(identity,inverse(X0)) != X1
| sk_c10 != X1
| sk_c10 = multiply(identity,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_4685,plain,
( multiply(X0,X1) != multiply(identity,sk_c9)
| inverse(sk_c10) != multiply(identity,sk_c9)
| inverse(sk_c10) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_2450]) ).
cnf(c_4686,plain,
( X0 != identity
| X1 != sk_c9
| multiply(X0,X1) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_522]) ).
cnf(c_4906,plain,
( X0 != identity
| X1 != inverse(X2)
| multiply(X0,X1) = multiply(identity,inverse(X2)) ),
inference(instantiation,[status(thm)],[c_522]) ).
cnf(c_5005,plain,
( inverse(sk_c10) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_2915]) ).
cnf(c_5020,plain,
( multiply(sk_c10,sk_c3) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(instantiation,[status(thm)],[c_2548]) ).
cnf(c_5025,plain,
( multiply(identity,sk_c9) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_2548]) ).
cnf(c_5211,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3726,c_95]) ).
cnf(c_5257,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_95,c_5211]) ).
cnf(c_5258,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_96,c_5211]) ).
cnf(c_5270,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_5211,c_5211]) ).
cnf(c_5885,plain,
( sk_c10 != multiply(sk_c10,sk_c3)
| sk_c9 != multiply(sk_c10,sk_c3)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1454]) ).
cnf(c_5888,plain,
( X0 != multiply(sk_c10,sk_c3)
| sk_c9 != multiply(sk_c10,sk_c3)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1495]) ).
cnf(c_6062,plain,
( multiply(sk_c1,sk_c9) = sk_c3
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_2469,c_1549]) ).
cnf(c_6275,plain,
( inverse(X0) != X1
| sk_c9 != sk_c9
| multiply(inverse(X0),sk_c9) = multiply(X1,sk_c9) ),
inference(instantiation,[status(thm)],[c_3955]) ).
cnf(c_6608,plain,
( multiply(X0,X1) != X2
| sk_c10 != X2
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_6814,plain,
( multiply(sk_c10,sk_c3) = sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_85,c_1555]) ).
cnf(c_6842,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_6814,c_67]) ).
cnf(c_7027,plain,
( X0 != sk_c10
| X1 != sk_c3
| multiply(X0,X1) = multiply(sk_c10,sk_c3) ),
inference(instantiation,[status(thm)],[c_522]) ).
cnf(c_7188,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_5258,c_5270]) ).
cnf(c_7196,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_7188,c_5257]) ).
cnf(c_7623,plain,
( ~ sP0_iProver_split
| inverse(sk_c2) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1010,c_50,c_1019,c_1011,c_1010]) ).
cnf(c_7629,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1011,c_50,c_1011]) ).
cnf(c_7932,plain,
( X0 != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1495]) ).
cnf(c_7978,plain,
( ~ sP0_iProver_split
| inverse(sk_c10) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1020,c_50,c_1020,c_1011]) ).
cnf(c_7984,plain,
( sk_c10 != sk_c9
| sk_c10 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1021,c_1768]) ).
cnf(c_8383,plain,
( multiply(identity,sk_c9) != sk_c9
| sk_c10 != sk_c9
| sk_c10 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_4437]) ).
cnf(c_9745,plain,
( multiply(sk_c10,X0) = X0
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_2565,c_1240]) ).
cnf(c_9852,plain,
( multiply(sk_c10,X0) = X0
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_2566,c_1241]) ).
cnf(c_10391,plain,
( multiply(identity,inverse(X0)) != multiply(X1,X2)
| sk_c10 != multiply(X1,X2)
| sk_c10 = multiply(identity,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_4585]) ).
cnf(c_10392,plain,
( inverse(X0) != X1
| identity != X2
| multiply(identity,inverse(X0)) = multiply(X2,X1) ),
inference(instantiation,[status(thm)],[c_522]) ).
cnf(c_10393,plain,
( multiply(identity,inverse(sk_c10)) != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 = multiply(identity,inverse(sk_c10)) ),
inference(instantiation,[status(thm)],[c_10391]) ).
cnf(c_10394,plain,
( inverse(sk_c10) != sk_c10
| identity != sk_c10
| multiply(identity,inverse(sk_c10)) = multiply(sk_c10,sk_c10) ),
inference(instantiation,[status(thm)],[c_10392]) ).
cnf(c_12080,plain,
( inverse(sk_c10) != sk_c9
| X0 != identity
| multiply(X0,inverse(sk_c10)) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_4686]) ).
cnf(c_12081,plain,
( inverse(sk_c10) != sk_c9
| sk_c10 != identity
| multiply(sk_c10,inverse(sk_c10)) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_12080]) ).
cnf(c_12178,plain,
( X0 != identity
| sk_c9 != inverse(sk_c10)
| multiply(X0,sk_c9) = multiply(identity,inverse(sk_c10)) ),
inference(instantiation,[status(thm)],[c_4906]) ).
cnf(c_12762,plain,
( multiply(sk_c5,sk_c8) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_6608]) ).
cnf(c_12765,plain,
( multiply(sk_c1,sk_c9) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(instantiation,[status(thm)],[c_6608]) ).
cnf(c_12768,plain,
( multiply(identity,X0) != X0
| sk_c10 != X0
| sk_c10 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_6608]) ).
cnf(c_12769,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_12768]) ).
cnf(c_12770,plain,
( multiply(inverse(X0),X0) != identity
| sk_c10 != identity
| sk_c10 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_6608]) ).
cnf(c_12771,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| sk_c10 != identity
| sk_c10 = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_12770]) ).
cnf(c_12775,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_12867,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_519]) ).
cnf(c_12868,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_13881,plain,
( multiply(inverse(X0),sk_c9) != multiply(identity,sk_c9)
| sk_c10 != multiply(identity,sk_c9)
| multiply(inverse(X0),sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_3954]) ).
cnf(c_13882,plain,
( multiply(inverse(sk_c10),sk_c9) != multiply(identity,sk_c9)
| sk_c10 != multiply(identity,sk_c9)
| multiply(inverse(sk_c10),sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_13881]) ).
cnf(c_13892,plain,
( sk_c1 != X0
| sk_c10 != X0
| sk_c1 = sk_c10 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_13979,plain,
( inverse(X0) != inverse(X1)
| sk_c9 != X2
| multiply(inverse(X0),sk_c9) = multiply(inverse(X1),X2) ),
inference(instantiation,[status(thm)],[c_3955]) ).
cnf(c_13980,plain,
( inverse(sk_c10) != inverse(sk_c10)
| sk_c9 != sk_c10
| multiply(inverse(sk_c10),sk_c9) = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_13979]) ).
cnf(c_14211,plain,
( inverse(sk_c10) != X0
| sk_c9 != X0
| inverse(sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1495]) ).
cnf(c_14212,plain,
( inverse(sk_c10) != sk_c10
| sk_c9 != sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_14211]) ).
cnf(c_15137,plain,
( multiply(X0,inverse(sk_c10)) != multiply(identity,sk_c9)
| inverse(sk_c10) != multiply(identity,sk_c9)
| inverse(sk_c10) = multiply(X0,inverse(sk_c10)) ),
inference(instantiation,[status(thm)],[c_4685]) ).
cnf(c_15138,plain,
( multiply(sk_c10,inverse(sk_c10)) != multiply(identity,sk_c9)
| inverse(sk_c10) != multiply(identity,sk_c9)
| inverse(sk_c10) = multiply(sk_c10,inverse(sk_c10)) ),
inference(instantiation,[status(thm)],[c_15137]) ).
cnf(c_15168,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c8) = sk_c5
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_2711,c_80]) ).
cnf(c_18581,plain,
( multiply(X0,inverse(sk_c10)) != multiply(identity,sk_c9)
| inverse(sk_c10) != multiply(identity,sk_c9)
| multiply(X0,inverse(sk_c10)) = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_2924]) ).
cnf(c_18582,plain,
( multiply(sk_c10,inverse(sk_c10)) != multiply(identity,sk_c9)
| inverse(sk_c10) != multiply(identity,sk_c9)
| multiply(sk_c10,inverse(sk_c10)) = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_18581]) ).
cnf(c_20218,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = sk_c3 ),
inference(superposition,[status(thm)],[c_6062,c_58]) ).
cnf(c_21334,plain,
( inverse(sk_c10) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_4039,c_2565]) ).
cnf(c_21528,plain,
( multiply(sk_c2,multiply(sk_c10,X0)) = X0
| inverse(sk_c10) = identity ),
inference(superposition,[status(thm)],[c_21334,c_1820]) ).
cnf(c_22897,plain,
( multiply(X0,inverse(sk_c10)) != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| multiply(X0,inverse(sk_c10)) = sk_c9 ),
inference(instantiation,[status(thm)],[c_7932]) ).
cnf(c_22898,plain,
( multiply(sk_c10,inverse(sk_c10)) != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| multiply(sk_c10,inverse(sk_c10)) = sk_c9 ),
inference(instantiation,[status(thm)],[c_22897]) ).
cnf(c_23602,plain,
( inverse(X0) != identity
| sk_c9 != inverse(sk_c10)
| multiply(inverse(X0),sk_c9) = multiply(identity,inverse(sk_c10)) ),
inference(instantiation,[status(thm)],[c_12178]) ).
cnf(c_23605,plain,
( multiply(inverse(X0),sk_c9) != multiply(identity,inverse(sk_c10))
| X1 != multiply(identity,inverse(sk_c10))
| multiply(inverse(X0),sk_c9) = X1 ),
inference(instantiation,[status(thm)],[c_3953]) ).
cnf(c_23606,plain,
( inverse(sk_c10) != identity
| sk_c9 != inverse(sk_c10)
| multiply(inverse(sk_c10),sk_c9) = multiply(identity,inverse(sk_c10)) ),
inference(instantiation,[status(thm)],[c_23602]) ).
cnf(c_23607,plain,
( multiply(inverse(sk_c10),sk_c9) != multiply(identity,inverse(sk_c10))
| sk_c10 != multiply(identity,inverse(sk_c10))
| multiply(inverse(sk_c10),sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_23605]) ).
cnf(c_24892,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_96,c_97]) ).
cnf(c_25011,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_24892,c_95]) ).
cnf(c_25060,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_97,c_25011]) ).
cnf(c_25303,plain,
( multiply(sk_c10,sk_c10) != sk_c9
| inverse(identity) != sk_c10
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_95,c_516]) ).
cnf(c_25304,plain,
( inverse(inverse(sk_c10)) != sk_c10
| multiply(sk_c10,identity) != sk_c9
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_96,c_516]) ).
cnf(c_25307,plain,
( multiply(sk_c10,sk_c10) != sk_c9
| sk_c10 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_25303,c_7196]) ).
cnf(c_27628,plain,
( multiply(sk_c2,sk_c10) != sk_c3
| X0 != sk_c10
| multiply(X0,multiply(sk_c2,sk_c10)) = multiply(sk_c10,sk_c3) ),
inference(instantiation,[status(thm)],[c_7027]) ).
cnf(c_27629,plain,
( multiply(sk_c2,sk_c10) != sk_c3
| sk_c10 != sk_c10
| multiply(sk_c10,multiply(sk_c2,sk_c10)) = multiply(sk_c10,sk_c3) ),
inference(instantiation,[status(thm)],[c_27628]) ).
cnf(c_28826,plain,
( inverse(sk_c10) = sk_c9
| inverse(sk_c3) = identity ),
inference(superposition,[status(thm)],[c_4066,c_2571]) ).
cnf(c_29074,plain,
( multiply(sk_c3,multiply(identity,X0)) = X0
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_28826,c_1820]) ).
cnf(c_29096,plain,
( multiply(sk_c3,X0) = X0
| inverse(sk_c10) = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_29074,c_95]) ).
cnf(c_32939,plain,
( multiply(X0,multiply(sk_c2,sk_c10)) != multiply(sk_c10,sk_c3)
| sk_c9 != multiply(sk_c10,sk_c3)
| multiply(X0,multiply(sk_c2,sk_c10)) = sk_c9 ),
inference(instantiation,[status(thm)],[c_5888]) ).
cnf(c_32941,plain,
( multiply(sk_c10,multiply(sk_c2,sk_c10)) != multiply(sk_c10,sk_c3)
| sk_c9 != multiply(sk_c10,sk_c3)
| multiply(sk_c10,multiply(sk_c2,sk_c10)) = sk_c9 ),
inference(instantiation,[status(thm)],[c_32939]) ).
cnf(c_33050,plain,
( inverse(sk_c8) = sk_c5
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_15168,c_1822]) ).
cnf(c_33430,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_33050,c_96]) ).
cnf(c_33947,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_34264,plain,
( multiply(sk_c2,sk_c10) = sk_c3
| sk_c10 = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_33430,c_79]) ).
cnf(c_34442,plain,
( sk_c10 = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_34264,c_3295]) ).
cnf(c_36771,plain,
( inverse(sk_c2) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_9745,c_1965]) ).
cnf(c_38170,plain,
( multiply(sk_c10,sk_c3) = sk_c10
| inverse(sk_c4) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_36771,c_1554]) ).
cnf(c_38171,plain,
( multiply(sk_c10,sk_c3) = sk_c10
| inverse(sk_c5) = sk_c8
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_36771,c_1553]) ).
cnf(c_38174,plain,
( multiply(sk_c2,multiply(sk_c10,X0)) = X0
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_36771,c_1820]) ).
cnf(c_38175,plain,
( inverse(sk_c10) = sk_c2
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_36771,c_1822]) ).
cnf(c_38314,plain,
( sk_c10 = sk_c9
| sk_c9 = sk_c2 ),
inference(superposition,[status(thm)],[c_38175,c_6842]) ).
cnf(c_38639,plain,
( multiply(sk_c9,sk_c10) = sk_c3
| inverse(sk_c5) = sk_c8
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_38314,c_80]) ).
cnf(c_38640,plain,
( multiply(sk_c9,sk_c10) = sk_c3
| inverse(sk_c4) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_38314,c_77]) ).
cnf(c_38894,plain,
( multiply(sk_c2,sk_c10) != sk_c3
| X0 != sk_c3
| multiply(sk_c2,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_12775]) ).
cnf(c_38997,plain,
( multiply(X0,inverse(sk_c10)) != inverse(sk_c10)
| X1 != inverse(sk_c10)
| multiply(X0,inverse(sk_c10)) = X1 ),
inference(instantiation,[status(thm)],[c_12775]) ).
cnf(c_38998,plain,
( multiply(sk_c10,inverse(sk_c10)) != inverse(sk_c10)
| sk_c10 != inverse(sk_c10)
| multiply(sk_c10,inverse(sk_c10)) = sk_c10 ),
inference(instantiation,[status(thm)],[c_38997]) ).
cnf(c_39001,plain,
( multiply(X0,inverse(sk_c10)) != sk_c9
| X1 != sk_c9
| multiply(X0,inverse(sk_c10)) = X1 ),
inference(instantiation,[status(thm)],[c_12775]) ).
cnf(c_39002,plain,
( multiply(sk_c10,inverse(sk_c10)) != sk_c9
| sk_c10 != sk_c9
| multiply(sk_c10,inverse(sk_c10)) = sk_c10 ),
inference(instantiation,[status(thm)],[c_39001]) ).
cnf(c_39984,plain,
( inverse(X0) != X1
| identity != X1
| inverse(X0) = identity ),
inference(instantiation,[status(thm)],[c_12868]) ).
cnf(c_39990,plain,
( inverse(X0) != identity
| sk_c9 != sk_c9
| multiply(inverse(X0),sk_c9) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_6275]) ).
cnf(c_39996,plain,
( inverse(X0) != identity
| sk_c10 != identity
| sk_c10 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_1470]) ).
cnf(c_39999,plain,
( inverse(sk_c10) != sk_c10
| identity != sk_c10
| inverse(sk_c10) = identity ),
inference(instantiation,[status(thm)],[c_39984]) ).
cnf(c_40001,plain,
( inverse(sk_c10) != identity
| sk_c10 != identity
| sk_c10 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_39996]) ).
cnf(c_40006,plain,
( inverse(sk_c10) != identity
| sk_c9 != sk_c9
| multiply(inverse(sk_c10),sk_c9) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_39990]) ).
cnf(c_40595,plain,
( inverse(sk_c1) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_9852,c_2022]) ).
cnf(c_40642,plain,
( multiply(sk_c4,X0) = X0
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_9852,c_1304]) ).
cnf(c_40726,plain,
( inverse(sk_c10) = sk_c1
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_40595,c_1822]) ).
cnf(c_41880,plain,
( multiply(inverse(sk_c10),multiply(sk_c4,multiply(sk_c9,X0))) = X0
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_87,c_25060]) ).
cnf(c_41881,plain,
( multiply(inverse(sk_c10),multiply(sk_c4,multiply(sk_c9,X0))) = X0
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_51,c_25060]) ).
cnf(c_43329,plain,
( sk_c1 = sk_c9
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_40726,c_6842]) ).
cnf(c_51977,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_33947]) ).
cnf(c_51978,plain,
( sk_c10 != identity
| identity != identity
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_51977]) ).
cnf(c_52182,plain,
( inverse(sk_c5) = sk_c8
| sk_c10 = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_38639,c_71,c_525,c_2549,c_4374,c_5020,c_5885,c_38171]) ).
cnf(c_52197,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_52182,c_1817]) ).
cnf(c_52221,plain,
( inverse(sk_c4) = sk_c10
| sk_c10 = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_38640,c_68,c_525,c_2549,c_4374,c_5020,c_5885,c_38170]) ).
cnf(c_52230,plain,
( multiply(sk_c10,sk_c10) = sk_c9
| multiply(sk_c10,sk_c3) = sk_c9
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_52221,c_1522]) ).
cnf(c_52231,plain,
( multiply(sk_c10,sk_c10) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c3
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_52221,c_1521]) ).
cnf(c_52235,plain,
( inverse(sk_c10) = sk_c4
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_52221,c_1822]) ).
cnf(c_53270,plain,
( sk_c1 = sk_c4
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_52235,c_40726]) ).
cnf(c_53441,plain,
( multiply(sk_c1,sk_c9) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_53270,c_60]) ).
cnf(c_53673,plain,
( inverse(sk_c1) != sk_c10
| ~ sP0_iProver_split
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_53441,c_515]) ).
cnf(c_53801,plain,
( ~ sP0_iProver_split
| sk_c10 = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_53673,c_50,c_1011,c_53673]) ).
cnf(c_53808,plain,
( sk_c10 != identity
| ~ sP0_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_7984,c_53801]) ).
cnf(c_54462,plain,
( multiply(sk_c10,sk_c3) = sk_c9
| sk_c10 = sk_c9
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_52197,c_70]) ).
cnf(c_54560,plain,
( multiply(sk_c10,identity) = sk_c9
| sk_c10 = sk_c9
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_34442,c_54462]) ).
cnf(c_55038,plain,
( inverse(sk_c10) != sk_c9
| sk_c1 != sk_c9
| sk_c1 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_2915]) ).
cnf(c_55040,plain,
( sk_c1 != inverse(sk_c10)
| sk_c10 != inverse(sk_c10)
| sk_c1 = sk_c10 ),
inference(instantiation,[status(thm)],[c_13892]) ).
cnf(c_55597,plain,
( multiply(sk_c1,sk_c9) != sk_c3
| multiply(sk_c2,sk_c10) != sk_c3
| multiply(sk_c2,sk_c10) = multiply(sk_c1,sk_c9) ),
inference(instantiation,[status(thm)],[c_38894]) ).
cnf(c_56795,plain,
( multiply(inverse(X0),sk_c9) != multiply(inverse(X1),X2)
| X3 != multiply(inverse(X1),X2)
| multiply(inverse(X0),sk_c9) = X3 ),
inference(instantiation,[status(thm)],[c_3953]) ).
cnf(c_56796,plain,
( multiply(inverse(sk_c10),sk_c9) != multiply(inverse(sk_c10),sk_c10)
| sk_c10 != multiply(inverse(sk_c10),sk_c10)
| multiply(inverse(sk_c10),sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_56795]) ).
cnf(c_81647,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_25304,c_525,c_1084,c_1756,c_1862,c_2549,c_2600,c_5020,c_25307,c_27629,c_32941,c_36771,c_52231,c_52230,c_54560]) ).
cnf(c_82849,plain,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = identity ),
inference(superposition,[status(thm)],[c_40642,c_1817]) ).
cnf(c_83003,plain,
( multiply(identity,sk_c4) = identity
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_82849,c_96]) ).
cnf(c_84863,plain,
( multiply(X0,inverse(X1)) != X1
| inverse(multiply(X0,inverse(X1))) = inverse(X1) ),
inference(instantiation,[status(thm)],[c_521]) ).
cnf(c_84864,plain,
( multiply(sk_c10,inverse(sk_c10)) != sk_c10
| inverse(multiply(sk_c10,inverse(sk_c10))) = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_84863]) ).
cnf(c_86282,plain,
inverse(sk_c2) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_41880,c_85,c_525,c_518,c_1084,c_1492,c_1493,c_1756,c_1862,c_1879,c_1992,c_2549,c_2600,c_3280,c_5020,c_5025,c_7623,c_12081,c_18582,c_22898,c_25307,c_27629,c_32941,c_36771,c_39002,c_52231,c_52230,c_54560,c_84864]) ).
cnf(c_86349,plain,
inverse(sk_c1) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_41881,c_49,c_518,c_1492,c_1493,c_1879,c_2041,c_2549,c_3339,c_5025,c_7629,c_12081,c_18582,c_22898,c_39002,c_40595,c_81647,c_84864]) ).
cnf(c_88550,plain,
multiply(sk_c2,multiply(sk_c10,X0)) = X0,
inference(global_subsumption_just,[status(thm)],[c_2667,c_525,c_518,c_1084,c_1492,c_1493,c_1756,c_1862,c_1879,c_2549,c_2600,c_2571,c_3293,c_5020,c_8383,c_12081,c_13882,c_18582,c_21528,c_25307,c_27629,c_32941,c_36771,c_38174,c_38998,c_40001,c_40006,c_52231,c_52230,c_53808,c_54560,c_84864]) ).
cnf(c_88618,plain,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_71,c_88550]) ).
cnf(c_88619,plain,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_68,c_88550]) ).
cnf(c_88668,plain,
multiply(sk_c2,sk_c10) = identity,
inference(superposition,[status(thm)],[c_1760,c_88550]) ).
cnf(c_88669,plain,
multiply(inverse(sk_c10),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1820,c_88550]) ).
cnf(c_89038,plain,
multiply(inverse(sk_c10),sk_c10) = multiply(sk_c2,sk_c10),
inference(instantiation,[status(thm)],[c_88669]) ).
cnf(c_89064,plain,
inverse(sk_c1) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_83003,c_86349]) ).
cnf(c_89179,plain,
multiply(sk_c1,multiply(sk_c10,X0)) = X0,
inference(superposition,[status(thm)],[c_89064,c_1820]) ).
cnf(c_89180,plain,
inverse(sk_c10) = sk_c1,
inference(superposition,[status(thm)],[c_89064,c_1822]) ).
cnf(c_89210,plain,
( multiply(sk_c3,X0) = X0
| sk_c1 = sk_c9 ),
inference(demodulation,[status(thm)],[c_29096,c_89180]) ).
cnf(c_89251,plain,
( sk_c1 = sk_c9
| sk_c10 = sk_c3 ),
inference(demodulation,[status(thm)],[c_20218,c_89180]) ).
cnf(c_89267,plain,
( ~ sP0_iProver_split
| sk_c1 = sk_c9 ),
inference(demodulation,[status(thm)],[c_7978,c_89180]) ).
cnf(c_89288,plain,
( inverse(sk_c2) = sk_c10
| sk_c1 = sk_c9 ),
inference(demodulation,[status(thm)],[c_85,c_89180]) ).
cnf(c_89645,plain,
inverse(sk_c2) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_89288,c_86282]) ).
cnf(c_89726,plain,
inverse(sk_c10) = sk_c2,
inference(superposition,[status(thm)],[c_89645,c_1822]) ).
cnf(c_89730,plain,
sk_c1 = sk_c2,
inference(light_normalisation,[status(thm)],[c_89726,c_89180]) ).
cnf(c_89882,plain,
( multiply(sk_c1,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_88618,c_89730]) ).
cnf(c_89902,plain,
( inverse(sk_c5) = sk_c8
| sk_c10 = sk_c3 ),
inference(superposition,[status(thm)],[c_89882,c_62]) ).
cnf(c_89930,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c10 = sk_c3 ),
inference(superposition,[status(thm)],[c_89902,c_1817]) ).
cnf(c_89956,plain,
( multiply(sk_c1,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_88619,c_89730]) ).
cnf(c_89977,plain,
( inverse(sk_c4) = sk_c10
| sk_c10 = sk_c3 ),
inference(superposition,[status(thm)],[c_89956,c_59]) ).
cnf(c_90004,plain,
( inverse(sk_c10) = sk_c4
| sk_c10 = sk_c3 ),
inference(superposition,[status(thm)],[c_89977,c_1822]) ).
cnf(c_90008,plain,
( sk_c1 = sk_c4
| sk_c10 = sk_c3 ),
inference(light_normalisation,[status(thm)],[c_90004,c_89180]) ).
cnf(c_90325,plain,
( multiply(sk_c1,sk_c9) = sk_c3
| sk_c10 = sk_c9
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_54462,c_89179]) ).
cnf(c_90557,plain,
( sk_c1 = sk_c9
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_89251,c_34442]) ).
cnf(c_90903,plain,
( multiply(sk_c1,sk_c9) = sk_c10
| sk_c10 = sk_c3 ),
inference(superposition,[status(thm)],[c_90008,c_60]) ).
cnf(c_95945,plain,
( multiply(X0,inverse(X0)) != X1
| sk_c10 != X1
| multiply(X0,inverse(X0)) = sk_c10 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_95953,plain,
multiply(X0,inverse(X0)) = multiply(X0,inverse(X0)),
inference(instantiation,[status(thm)],[c_519]) ).
cnf(c_95955,plain,
multiply(sk_c10,inverse(sk_c10)) = multiply(sk_c10,inverse(sk_c10)),
inference(instantiation,[status(thm)],[c_95953]) ).
cnf(c_95956,plain,
( multiply(X0,inverse(X0)) != X1
| X2 != X1
| multiply(X0,inverse(X0)) = X2 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_95957,plain,
( multiply(X0,inverse(X0)) != multiply(X1,X2)
| sk_c10 != multiply(X1,X2)
| multiply(X0,inverse(X0)) = sk_c10 ),
inference(instantiation,[status(thm)],[c_95945]) ).
cnf(c_95961,plain,
( inverse(identity) != X0
| sk_c10 != X0
| sk_c10 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_95966,plain,
( multiply(X0,inverse(X0)) != X1
| sk_c10 != X1
| sk_c10 = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_95978,plain,
( multiply(X0,inverse(X0)) != multiply(X0,inverse(X0))
| X1 != multiply(X0,inverse(X0))
| multiply(X0,inverse(X0)) = X1 ),
inference(instantiation,[status(thm)],[c_95956]) ).
cnf(c_95979,plain,
( multiply(X0,X1) != X2
| sk_c10 != X2
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_95984,plain,
( inverse(identity) != X0
| X1 != X0
| inverse(identity) = X1 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_95989,plain,
( inverse(identity) != identity
| sk_c10 != identity
| sk_c10 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_95961]) ).
cnf(c_95993,plain,
( inverse(identity) != X0
| X1 != X0
| X1 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_95995,plain,
( X0 != identity
| inverse(X0) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_521]) ).
cnf(c_95997,plain,
( sk_c10 != identity
| inverse(sk_c10) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_95995]) ).
cnf(c_96011,plain,
( multiply(X0,inverse(X0)) != multiply(X1,X2)
| sk_c10 != multiply(X1,X2)
| sk_c10 = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_95966]) ).
cnf(c_96021,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_96022,plain,
( multiply(X0,X1) != multiply(X2,X3)
| sk_c10 != multiply(X2,X3)
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_95979]) ).
cnf(c_96035,plain,
( multiply(X0,inverse(X0)) != X1
| X2 != X1
| X2 = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_96036,plain,
( multiply(X0,inverse(X0)) != multiply(X0,inverse(X0))
| multiply(X1,X2) != multiply(X0,inverse(X0))
| multiply(X0,inverse(X0)) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_95978]) ).
cnf(c_96037,plain,
( X0 != X1
| X2 != inverse(X1)
| multiply(X0,X2) = multiply(X1,inverse(X1)) ),
inference(instantiation,[status(thm)],[c_522]) ).
cnf(c_96048,plain,
( multiply(X0,X1) != X2
| X3 != X2
| X3 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_96103,plain,
( multiply(X0,inverse(X0)) != multiply(sk_c1,sk_c9)
| sk_c10 != multiply(sk_c1,sk_c9)
| sk_c10 = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_96011]) ).
cnf(c_96104,plain,
( multiply(sk_c10,inverse(sk_c10)) != multiply(sk_c1,sk_c9)
| sk_c10 != multiply(sk_c1,sk_c9)
| sk_c10 = multiply(sk_c10,inverse(sk_c10)) ),
inference(instantiation,[status(thm)],[c_96103]) ).
cnf(c_96120,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_96128,plain,
( inverse(identity) != identity
| X0 != identity
| inverse(identity) = X0 ),
inference(instantiation,[status(thm)],[c_95984]) ).
cnf(c_96134,plain,
( inverse(identity) != identity
| X0 != identity
| X0 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_95993]) ).
cnf(c_96150,plain,
( multiply(X0,inverse(X0)) != multiply(inverse(X1),X1)
| sk_c10 != multiply(inverse(X1),X1)
| multiply(X0,inverse(X0)) = sk_c10 ),
inference(instantiation,[status(thm)],[c_95957]) ).
cnf(c_96151,plain,
( multiply(sk_c10,inverse(sk_c10)) != multiply(inverse(sk_c10),sk_c10)
| sk_c10 != multiply(inverse(sk_c10),sk_c10)
| multiply(sk_c10,inverse(sk_c10)) = sk_c10 ),
inference(instantiation,[status(thm)],[c_96150]) ).
cnf(c_96164,plain,
( multiply(inverse(X0),X0) != identity
| X1 != identity
| multiply(inverse(X0),X0) = X1 ),
inference(instantiation,[status(thm)],[c_96021]) ).
cnf(c_96166,plain,
( multiply(X0,X1) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| multiply(X0,X1) = X2 ),
inference(instantiation,[status(thm)],[c_96021]) ).
cnf(c_96167,plain,
multiply(X0,X1) = multiply(X0,X1),
inference(instantiation,[status(thm)],[c_519]) ).
cnf(c_96169,plain,
( multiply(X0,X1) != multiply(X2,X3)
| X4 != multiply(X2,X3)
| multiply(X0,X1) = X4 ),
inference(instantiation,[status(thm)],[c_96021]) ).
cnf(c_96180,plain,
( multiply(X0,X1) != multiply(sk_c5,sk_c8)
| sk_c10 != multiply(sk_c5,sk_c8)
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_96022]) ).
cnf(c_96184,plain,
( multiply(X0,X1) != multiply(sk_c1,sk_c9)
| sk_c10 != multiply(sk_c1,sk_c9)
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_96022]) ).
cnf(c_96186,plain,
( multiply(X0,X1) != multiply(sk_c2,sk_c10)
| sk_c10 != multiply(sk_c2,sk_c10)
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_96022]) ).
cnf(c_96188,plain,
( multiply(X0,X1) != multiply(identity,X2)
| sk_c10 != multiply(identity,X2)
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_96022]) ).
cnf(c_96189,plain,
( multiply(sk_c10,sk_c10) != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| sk_c10 = multiply(sk_c10,sk_c10) ),
inference(instantiation,[status(thm)],[c_96188]) ).
cnf(c_96203,plain,
( multiply(X0,inverse(X0)) != multiply(X1,X2)
| X3 != multiply(X1,X2)
| X3 = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_96035]) ).
cnf(c_96221,plain,
( multiply(inverse(X0),X0) != identity
| X1 != identity
| X1 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_96048]) ).
cnf(c_96430,plain,
( multiply(sk_c2,sk_c10) != X0
| sk_c10 != X0
| sk_c10 = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_95979]) ).
cnf(c_96585,plain,
( multiply(X0,inverse(X0)) != multiply(X0,inverse(X0))
| multiply(sk_c1,sk_c9) != multiply(X0,inverse(X0))
| multiply(X0,inverse(X0)) = multiply(sk_c1,sk_c9) ),
inference(instantiation,[status(thm)],[c_96036]) ).
cnf(c_96586,plain,
( multiply(sk_c10,inverse(sk_c10)) != multiply(sk_c10,inverse(sk_c10))
| multiply(sk_c1,sk_c9) != multiply(sk_c10,inverse(sk_c10))
| multiply(sk_c10,inverse(sk_c10)) = multiply(sk_c1,sk_c9) ),
inference(instantiation,[status(thm)],[c_96585]) ).
cnf(c_96738,plain,
( multiply(sk_c2,sk_c10) != multiply(sk_c1,sk_c9)
| sk_c10 != multiply(sk_c1,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_96184]) ).
cnf(c_97214,plain,
( multiply(inverse(X0),X0) != identity
| multiply(sk_c5,sk_c8) != identity
| multiply(inverse(X0),X0) = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_96164]) ).
cnf(c_97215,plain,
( multiply(inverse(X0),X0) != multiply(sk_c5,sk_c8)
| sk_c10 != multiply(sk_c5,sk_c8)
| sk_c10 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_96180]) ).
cnf(c_97216,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| multiply(sk_c5,sk_c8) != identity
| multiply(inverse(sk_c10),sk_c10) = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_97214]) ).
cnf(c_97217,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c5,sk_c8)
| sk_c10 != multiply(sk_c5,sk_c8)
| sk_c10 = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_97215]) ).
cnf(c_97227,plain,
( multiply(inverse(X0),X0) != multiply(sk_c2,sk_c10)
| sk_c10 != multiply(sk_c2,sk_c10)
| sk_c10 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_96186]) ).
cnf(c_97228,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c2,sk_c10)
| sk_c10 != multiply(sk_c2,sk_c10)
| sk_c10 = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_97227]) ).
cnf(c_97234,plain,
( X0 != identity
| X1 != X2
| multiply(X0,X1) = multiply(identity,X2) ),
inference(instantiation,[status(thm)],[c_522]) ).
cnf(c_97235,plain,
( sk_c10 != sk_c10
| sk_c10 != identity
| multiply(sk_c10,sk_c10) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_97234]) ).
cnf(c_97358,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_97453,plain,
( multiply(X0,X1) != identity
| inverse(identity) != identity
| multiply(X0,X1) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_96134]) ).
cnf(c_97454,plain,
( multiply(X0,X1) != identity
| inverse(identity) != identity
| inverse(identity) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_96128]) ).
cnf(c_97658,plain,
( multiply(inverse(X0),X0) != identity
| identity != identity
| identity = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_96221]) ).
cnf(c_97659,plain,
( X0 != multiply(inverse(X1),X1)
| identity != multiply(inverse(X1),X1)
| X0 = identity ),
inference(instantiation,[status(thm)],[c_96120]) ).
cnf(c_97661,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| identity != identity
| identity = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_97658]) ).
cnf(c_97663,plain,
( sk_c10 != multiply(inverse(sk_c10),sk_c10)
| identity != multiply(inverse(sk_c10),sk_c10)
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_97659]) ).
cnf(c_97670,plain,
( multiply(inverse(X0),X0) != identity
| multiply(X1,inverse(X1)) != identity
| multiply(X1,inverse(X1)) = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_96221]) ).
cnf(c_97672,plain,
( multiply(X0,inverse(X0)) != multiply(inverse(X1),X1)
| X2 != multiply(inverse(X1),X1)
| X2 = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_96203]) ).
cnf(c_97676,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| multiply(sk_c10,inverse(sk_c10)) != identity
| multiply(sk_c10,inverse(sk_c10)) = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_97670]) ).
cnf(c_97774,plain,
( multiply(sk_c5,sk_c8) != multiply(X0,X1)
| sk_c10 != multiply(X0,X1)
| multiply(sk_c5,sk_c8) = sk_c10 ),
inference(instantiation,[status(thm)],[c_96169]) ).
cnf(c_98335,plain,
( inverse(X0) != inverse(X1)
| X2 != inverse(X1)
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_97358]) ).
cnf(c_98428,plain,
( multiply(sk_c2,sk_c10) != multiply(sk_c2,sk_c10)
| inverse(identity) != multiply(sk_c2,sk_c10)
| multiply(sk_c2,sk_c10) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_96166]) ).
cnf(c_99639,plain,
( multiply(inverse(X0),X0) != identity
| multiply(sk_c5,sk_c8) != identity
| multiply(sk_c5,sk_c8) = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_96221]) ).
cnf(c_99641,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| multiply(sk_c5,sk_c8) != identity
| multiply(sk_c5,sk_c8) = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_99639]) ).
cnf(c_99964,plain,
( multiply(sk_c5,sk_c8) != multiply(X0,inverse(X0))
| sk_c10 != multiply(X0,inverse(X0))
| multiply(sk_c5,sk_c8) = sk_c10 ),
inference(instantiation,[status(thm)],[c_97774]) ).
cnf(c_99966,plain,
( multiply(sk_c5,sk_c8) != multiply(sk_c10,inverse(sk_c10))
| sk_c10 != multiply(sk_c10,inverse(sk_c10))
| multiply(sk_c5,sk_c8) = sk_c10 ),
inference(instantiation,[status(thm)],[c_99964]) ).
cnf(c_102205,plain,
( multiply(X0,inverse(X0)) != X1
| inverse(X0) != X1
| inverse(X0) = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_96035]) ).
cnf(c_102967,plain,
( multiply(X0,inverse(X0)) != multiply(inverse(X1),X1)
| multiply(sk_c5,sk_c8) != multiply(inverse(X1),X1)
| multiply(sk_c5,sk_c8) = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_97672]) ).
cnf(c_102968,plain,
( multiply(sk_c10,inverse(sk_c10)) != multiply(inverse(sk_c10),sk_c10)
| multiply(sk_c5,sk_c8) != multiply(inverse(sk_c10),sk_c10)
| multiply(sk_c5,sk_c8) = multiply(sk_c10,inverse(sk_c10)) ),
inference(instantiation,[status(thm)],[c_102967]) ).
cnf(c_104180,plain,
( inverse(identity) != identity
| sk_c3 != identity
| inverse(identity) = sk_c3 ),
inference(instantiation,[status(thm)],[c_96128]) ).
cnf(c_106185,plain,
( inverse(X0) != inverse(identity)
| sk_c10 != inverse(identity)
| inverse(X0) = sk_c10 ),
inference(instantiation,[status(thm)],[c_98335]) ).
cnf(c_106186,plain,
( inverse(sk_c10) != inverse(identity)
| sk_c10 != inverse(identity)
| inverse(sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_106185]) ).
cnf(c_106948,plain,
( multiply(sk_c2,sk_c10) != identity
| inverse(identity) != identity
| inverse(identity) = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_97454]) ).
cnf(c_107025,plain,
( multiply(X0,inverse(X0)) != inverse(identity)
| inverse(X0) != inverse(identity)
| inverse(X0) = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_102205]) ).
cnf(c_107026,plain,
( multiply(X0,inverse(X0)) != identity
| inverse(identity) != identity
| multiply(X0,inverse(X0)) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_97453]) ).
cnf(c_107028,plain,
( multiply(sk_c10,inverse(sk_c10)) != inverse(identity)
| inverse(sk_c10) != inverse(identity)
| inverse(sk_c10) = multiply(sk_c10,inverse(sk_c10)) ),
inference(instantiation,[status(thm)],[c_107025]) ).
cnf(c_107029,plain,
( multiply(sk_c10,inverse(sk_c10)) != identity
| inverse(identity) != identity
| multiply(sk_c10,inverse(sk_c10)) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_107026]) ).
cnf(c_108146,plain,
( multiply(sk_c2,sk_c10) != inverse(identity)
| sk_c10 != inverse(identity)
| sk_c10 = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_96430]) ).
cnf(c_109156,plain,
multiply(sk_c2,sk_c10) = multiply(sk_c2,sk_c10),
inference(instantiation,[status(thm)],[c_96167]) ).
cnf(c_111434,plain,
( sk_c1 != X0
| sk_c9 != inverse(X0)
| multiply(sk_c1,sk_c9) = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_96037]) ).
cnf(c_111438,plain,
( sk_c1 != sk_c10
| sk_c9 != inverse(sk_c10)
| multiply(sk_c1,sk_c9) = multiply(sk_c10,inverse(sk_c10)) ),
inference(instantiation,[status(thm)],[c_111434]) ).
cnf(c_111884,plain,
sk_c1 = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_89210,c_100,c_523,c_525,c_528,c_518,c_1084,c_1756,c_1768,c_1862,c_1863,c_2550,c_2549,c_2600,c_5020,c_12771,c_13980,c_14212,c_25307,c_27629,c_32941,c_36771,c_43329,c_52231,c_52230,c_54560,c_56796,c_84864,c_89267,c_90557,c_95989,c_95997,c_96151,c_97676,c_106186,c_107028,c_107029]) ).
cnf(c_111924,plain,
inverse(sk_c10) = sk_c9,
inference(demodulation,[status(thm)],[c_89180,c_111884]) ).
cnf(c_128101,plain,
( inverse(identity) != sk_c3
| sk_c10 != sk_c3
| sk_c10 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_95961]) ).
cnf(c_129901,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_128101,c_111924,c_111884,c_111438,c_109156,c_108146,c_106948,c_106186,c_104180,c_102968,c_99966,c_99641,c_98428,c_97676,c_97663,c_97661,c_97235,c_97228,c_97217,c_97216,c_96738,c_96586,c_96189,c_96151,c_96104,c_95997,c_95989,c_95955,c_90903,c_90325,c_89930,c_89038,c_88668,c_84864,c_81647,c_55597,c_55040,c_55038,c_53808,c_51978,c_39999,c_34442,c_23607,c_23606,c_15138,c_12867,c_12771,c_12769,c_12765,c_12762,c_12081,c_10394,c_10393,c_5005,c_2549,c_1863,c_1768,c_1714,c_1493,c_1492,c_518,c_528,c_525,c_79,c_100,c_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP228-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 22:58:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 21.15/3.70 % SZS status Started for theBenchmark.p
% 21.15/3.70 % SZS status Unsatisfiable for theBenchmark.p
% 21.15/3.70
% 21.15/3.70 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 21.15/3.70
% 21.15/3.70 ------ iProver source info
% 21.15/3.70
% 21.15/3.70 git: date: 2023-05-31 18:12:56 +0000
% 21.15/3.70 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 21.15/3.70 git: non_committed_changes: false
% 21.15/3.70 git: last_make_outside_of_git: false
% 21.15/3.70
% 21.15/3.70 ------ Parsing...successful
% 21.15/3.70
% 21.15/3.70
% 21.15/3.70
% 21.15/3.70 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 21.15/3.70
% 21.15/3.70 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 21.15/3.70
% 21.15/3.70 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 21.15/3.70 ------ Proving...
% 21.15/3.70 ------ Problem Properties
% 21.15/3.70
% 21.15/3.70
% 21.15/3.70 clauses 52
% 21.15/3.70 conjectures 49
% 21.15/3.70 EPR 0
% 21.15/3.70 Horn 6
% 21.15/3.70 unary 3
% 21.15/3.70 binary 45
% 21.15/3.70 lits 108
% 21.15/3.70 lits eq 102
% 21.15/3.70 fd_pure 0
% 21.15/3.70 fd_pseudo 0
% 21.15/3.70 fd_cond 0
% 21.15/3.70 fd_pseudo_cond 0
% 21.15/3.70 AC symbols 0
% 21.15/3.70
% 21.15/3.70 ------ Schedule dynamic 5 is on
% 21.15/3.70
% 21.15/3.70 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 21.15/3.70
% 21.15/3.70
% 21.15/3.70 ------
% 21.15/3.70 Current options:
% 21.15/3.70 ------
% 21.15/3.70
% 21.15/3.70
% 21.15/3.70
% 21.15/3.70
% 21.15/3.70 ------ Proving...
% 21.15/3.70
% 21.15/3.70
% 21.15/3.70 % SZS status Unsatisfiable for theBenchmark.p
% 21.15/3.70
% 21.15/3.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.15/3.70
% 21.15/3.71
%------------------------------------------------------------------------------