TSTP Solution File: GRP340-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP340-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 00:59:25 EDT 2023
% Result : Unsatisfiable 16.66s 3.19s
% Output : CNFRefutation 16.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 39
% Syntax : Number of clauses : 371 ( 55 unt; 143 nHn; 324 RR)
% Number of literals : 887 ( 828 equ; 397 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 222 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_93,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
cnf(c_94,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
cnf(c_97,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
cnf(c_99,negated_conjecture,
( multiply(X0,X1) != sk_c11
| multiply(X2,X1) != X3
| multiply(X1,sk_c10) != sk_c11
| multiply(X4,sk_c10) != sk_c11
| multiply(X5,sk_c9) != sk_c10
| multiply(X6,sk_c11) != sk_c10
| multiply(X7,sk_c10) != sk_c9
| multiply(sk_c10,sk_c11) != sk_c9
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X3) != X1
| inverse(X4) != sk_c11
| inverse(X5) != sk_c10
| inverse(X6) != sk_c11
| inverse(X7) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_100,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_101,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_102,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_103,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c11
| multiply(inverse(X1),sk_c10) != sk_c11
| multiply(X2,sk_c10) != sk_c11
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c10) != sk_c9
| multiply(sk_c10,sk_c11) != sk_c9
| inverse(X0) != multiply(X0,inverse(X1))
| inverse(X2) != sk_c11
| inverse(X3) != sk_c10
| inverse(X4) != sk_c11
| inverse(X5) != sk_c10 ),
inference(unflattening,[status(thm)],[c_99]) ).
cnf(c_105,plain,
multiply(inverse(sk_c10),sk_c10) = identity,
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_568,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_103]) ).
cnf(c_569,negated_conjecture,
( multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c10
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_103]) ).
cnf(c_570,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_103]) ).
cnf(c_571,negated_conjecture,
( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_103]) ).
cnf(c_572,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| inverse(X1) != multiply(X1,inverse(X0))
| inverse(multiply(X1,inverse(X0))) != inverse(X0)
| ~ sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_103]) ).
cnf(c_573,negated_conjecture,
( multiply(sk_c10,sk_c11) != sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_103]) ).
cnf(c_574,plain,
X0 = X0,
theory(equality) ).
cnf(c_575,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_576,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_577,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_580,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_585,plain,
( inverse(multiply(sk_c10,inverse(sk_c10))) != inverse(sk_c10)
| multiply(inverse(sk_c10),sk_c10) != sk_c11
| multiply(sk_c10,inverse(sk_c10)) != sk_c11
| inverse(sk_c10) != multiply(sk_c10,inverse(sk_c10))
| ~ sP4_iProver_split ),
inference(instantiation,[status(thm)],[c_572]) ).
cnf(c_1166,plain,
( multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_79,c_102]) ).
cnf(c_1167,plain,
( multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_59,c_102]) ).
cnf(c_1177,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c11,X0)
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_83,c_102]) ).
cnf(c_1178,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c11,X0)
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_63,c_102]) ).
cnf(c_1200,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_1360,plain,
( multiply(sk_c10,sk_c11) != X0
| sk_c9 != X0
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1361,plain,
( multiply(sk_c10,sk_c11) != sk_c10
| sk_c9 != sk_c10
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1360]) ).
cnf(c_1363,plain,
multiply(sk_c10,sk_c11) = multiply(sk_c10,sk_c11),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1364,plain,
( multiply(sk_c10,sk_c11) != X0
| X1 != X0
| multiply(sk_c10,sk_c11) = X1 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1369,plain,
( multiply(sk_c10,sk_c11) != X0
| sk_c9 != X0
| sk_c9 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1377,plain,
( multiply(sk_c10,sk_c11) != multiply(sk_c10,sk_c11)
| X0 != multiply(sk_c10,sk_c11)
| multiply(sk_c10,sk_c11) = X0 ),
inference(instantiation,[status(thm)],[c_1364]) ).
cnf(c_1379,plain,
( multiply(X0,X1) != X2
| sk_c9 != X2
| sk_c9 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1394,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1395,plain,
( X0 != X1
| sk_c11 != X1
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1476,plain,
( inverse(sk_c3) != sk_c11
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_59,c_568]) ).
cnf(c_1527,plain,
( multiply(sk_c10,sk_c11) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_1369]) ).
cnf(c_1528,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1529,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1530,plain,
( multiply(identity,multiply(sk_c10,sk_c11)) != multiply(sk_c10,sk_c11)
| multiply(sk_c10,sk_c11) != multiply(sk_c10,sk_c11)
| multiply(sk_c10,sk_c11) = multiply(identity,multiply(sk_c10,sk_c11)) ),
inference(instantiation,[status(thm)],[c_1377]) ).
cnf(c_1531,plain,
multiply(identity,multiply(sk_c10,sk_c11)) = multiply(sk_c10,sk_c11),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_1533,plain,
( multiply(sk_c10,sk_c11) != X0
| X1 != X0
| X1 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1536,plain,
( X0 != sk_c10
| X1 != sk_c11
| multiply(X0,X1) = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_576]) ).
cnf(c_1538,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c11
| multiply(sk_c10,sk_c10) = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_1536]) ).
cnf(c_1546,plain,
( inverse(sk_c2) != sk_c10
| ~ sP1_iProver_split
| multiply(sk_c8,sk_c10) = sk_c11 ),
inference(superposition,[status(thm)],[c_95,c_569]) ).
cnf(c_1583,plain,
( multiply(sk_c10,sk_c11) != multiply(X0,sk_c11)
| X1 != multiply(X0,sk_c11)
| multiply(sk_c10,sk_c11) = X1 ),
inference(instantiation,[status(thm)],[c_1364]) ).
cnf(c_1589,plain,
( X0 != sk_c11
| sk_c11 != sk_c11
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_1395]) ).
cnf(c_1590,plain,
( sk_c10 != sk_c11
| sk_c11 != sk_c11
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1589]) ).
cnf(c_1597,plain,
( multiply(X0,sk_c11) != X1
| X2 != X1
| X2 = multiply(X0,sk_c11) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1599,plain,
( X0 != X1
| X2 != sk_c11
| multiply(X0,X2) = multiply(X1,sk_c11) ),
inference(instantiation,[status(thm)],[c_576]) ).
cnf(c_1608,plain,
( inverse(sk_c4) != sk_c10
| ~ sP2_iProver_split
| multiply(sk_c2,sk_c9) = sk_c10 ),
inference(superposition,[status(thm)],[c_91,c_570]) ).
cnf(c_1610,plain,
( inverse(sk_c4) != sk_c10
| ~ sP2_iProver_split
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(superposition,[status(thm)],[c_51,c_570]) ).
cnf(c_1623,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c9 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_101,c_570]) ).
cnf(c_1688,plain,
( multiply(X0,X1) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1379]) ).
cnf(c_1689,plain,
( multiply(sk_c10,sk_c10) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c10,sk_c10) ),
inference(instantiation,[status(thm)],[c_1688]) ).
cnf(c_1698,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1529]) ).
cnf(c_1699,plain,
( sk_c10 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1698]) ).
cnf(c_1701,plain,
( multiply(sk_c5,sk_c8) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_1589]) ).
cnf(c_1704,plain,
( multiply(identity,sk_c11) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = multiply(identity,sk_c11) ),
inference(instantiation,[status(thm)],[c_1589]) ).
cnf(c_1705,plain,
multiply(identity,sk_c11) = sk_c11,
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_1707,plain,
( X0 != X1
| sk_c11 != X1
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1708,plain,
( sk_c10 != sk_c10
| sk_c11 != sk_c10
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_1707]) ).
cnf(c_1729,plain,
( inverse(sk_c1) != sk_c11
| ~ sP3_iProver_split
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_70,c_571]) ).
cnf(c_1730,plain,
( inverse(identity) != sk_c11
| sk_c10 != sk_c11
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_571]) ).
cnf(c_1795,plain,
( multiply(sk_c10,sk_c11) != multiply(X0,sk_c11)
| X1 != multiply(X0,sk_c11)
| X1 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_1533]) ).
cnf(c_1796,plain,
( multiply(sk_c10,sk_c11) != multiply(identity,multiply(sk_c10,sk_c11))
| X0 != multiply(identity,multiply(sk_c10,sk_c11))
| X0 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_1533]) ).
cnf(c_1825,plain,
( X0 != multiply(sk_c5,sk_c8)
| sk_c11 != multiply(sk_c5,sk_c8)
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_1395]) ).
cnf(c_1828,plain,
( sk_c10 != multiply(sk_c5,sk_c8)
| sk_c11 != multiply(sk_c5,sk_c8)
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1825]) ).
cnf(c_1984,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_1476,c_60,c_1476]) ).
cnf(c_2003,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1200,c_100]) ).
cnf(c_2016,plain,
( multiply(inverse(sk_c10),sk_c9) = sk_c11
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_54,c_2003]) ).
cnf(c_2018,plain,
( multiply(inverse(sk_c10),sk_c9) = sk_c11
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_50,c_2003]) ).
cnf(c_2021,plain,
( multiply(inverse(sk_c3),sk_c10) = sk_c11
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_79,c_2003]) ).
cnf(c_2022,plain,
( multiply(inverse(sk_c3),sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_59,c_2003]) ).
cnf(c_2027,plain,
( multiply(inverse(sk_c4),sk_c9) = sk_c10
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_81,c_2003]) ).
cnf(c_2028,plain,
( multiply(inverse(sk_c4),sk_c9) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_61,c_2003]) ).
cnf(c_2039,plain,
( multiply(inverse(sk_c7),sk_c6) = sk_c8
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(superposition,[status(thm)],[c_58,c_2003]) ).
cnf(c_2049,plain,
( multiply(inverse(sk_c2),sk_c10) = sk_c9
| inverse(sk_c6) = sk_c8 ),
inference(superposition,[status(thm)],[c_97,c_2003]) ).
cnf(c_2054,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_100,c_2003]) ).
cnf(c_2055,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_2003]) ).
cnf(c_2056,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_102,c_2003]) ).
cnf(c_2068,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2003,c_2003]) ).
cnf(c_2187,plain,
( multiply(sk_c4,sk_c10) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(instantiation,[status(thm)],[c_1688]) ).
cnf(c_2190,plain,
( multiply(X0,X1) != X2
| sk_c9 != X2
| multiply(X0,X1) = sk_c9 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_2191,plain,
( multiply(sk_c10,sk_c10) != sk_c10
| sk_c9 != sk_c10
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_2190]) ).
cnf(c_2211,plain,
( multiply(inverse(sk_c11),sk_c11) != identity
| X0 != identity
| X0 = multiply(inverse(sk_c11),sk_c11) ),
inference(instantiation,[status(thm)],[c_1597]) ).
cnf(c_2212,plain,
multiply(inverse(sk_c11),sk_c11) = identity,
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_2213,plain,
( multiply(inverse(sk_c11),sk_c11) != identity
| sk_c10 != identity
| sk_c10 = multiply(inverse(sk_c11),sk_c11) ),
inference(instantiation,[status(thm)],[c_2211]) ).
cnf(c_2219,plain,
( multiply(X0,sk_c11) != X1
| X2 != X1
| multiply(X0,sk_c11) = X2 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_2248,plain,
( X0 != X1
| sk_c11 != sk_c11
| multiply(X0,sk_c11) = multiply(X1,sk_c11) ),
inference(instantiation,[status(thm)],[c_1599]) ).
cnf(c_2252,plain,
( multiply(identity,sk_c11) != sk_c11
| X0 != sk_c11
| X0 = multiply(identity,sk_c11) ),
inference(instantiation,[status(thm)],[c_1597]) ).
cnf(c_2258,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_2265,plain,
( multiply(sk_c10,sk_c11) != multiply(identity,sk_c11)
| sk_c11 != multiply(identity,sk_c11)
| sk_c11 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_1795]) ).
cnf(c_2266,plain,
( multiply(sk_c10,sk_c11) != multiply(identity,sk_c11)
| sk_c11 != multiply(identity,sk_c11)
| multiply(sk_c10,sk_c11) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1583]) ).
cnf(c_2348,plain,
( multiply(X0,X1) != multiply(sk_c4,sk_c10)
| sk_c9 != multiply(sk_c4,sk_c10)
| sk_c9 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1379]) ).
cnf(c_2406,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_2055,c_2068]) ).
cnf(c_2415,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_2406,c_2054]) ).
cnf(c_2450,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_2068,c_101]) ).
cnf(c_2454,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_2068,c_2003]) ).
cnf(c_2455,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_2068,c_2406]) ).
cnf(c_2456,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2455,c_2406]) ).
cnf(c_2495,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),sk_c10) != sk_c11
| sk_c11 != identity
| ~ sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_572,c_2450]) ).
cnf(c_2502,plain,
inverse(inverse(sk_c10)) = sk_c10,
inference(instantiation,[status(thm)],[c_2456]) ).
cnf(c_2779,plain,
( inverse(sk_c11) = sk_c3
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_80,c_2456]) ).
cnf(c_2780,plain,
( inverse(sk_c11) = sk_c3
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_60,c_2456]) ).
cnf(c_2814,plain,
( inverse(sk_c3) != X0
| X1 != X0
| X1 = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_2831,plain,
( inverse(sk_c10) = sk_c2
| inverse(sk_c11) = sk_c3 ),
inference(superposition,[status(thm)],[c_2779,c_2456]) ).
cnf(c_2844,plain,
( multiply(sk_c5,sk_c8) != X0
| X1 != X0
| X1 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_2855,plain,
( inverse(sk_c11) = sk_c3
| inverse(sk_c11) = sk_c1 ),
inference(superposition,[status(thm)],[c_2780,c_2456]) ).
cnf(c_2924,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_3144,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_80,c_2450]) ).
cnf(c_3145,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_60,c_2450]) ).
cnf(c_3146,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_82,c_2450]) ).
cnf(c_3147,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_62,c_2450]) ).
cnf(c_3148,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_84,c_2450]) ).
cnf(c_3149,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_64,c_2450]) ).
cnf(c_3167,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_2450,c_102]) ).
cnf(c_3307,plain,
( multiply(sk_c3,multiply(sk_c11,X0)) = X0
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_80,c_2454]) ).
cnf(c_3308,plain,
( multiply(sk_c3,multiply(sk_c11,X0)) = X0
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_60,c_2454]) ).
cnf(c_3310,plain,
( multiply(sk_c4,multiply(sk_c10,X0)) = X0
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_62,c_2454]) ).
cnf(c_3311,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = X0
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_84,c_2454]) ).
cnf(c_3312,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = X0
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_64,c_2454]) ).
cnf(c_3416,plain,
( multiply(sk_c10,sk_c11) != sk_c11
| X0 != sk_c11
| X0 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_1533]) ).
cnf(c_3420,plain,
( multiply(sk_c10,sk_c11) != sk_c11
| sk_c10 != sk_c11
| sk_c10 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_3416]) ).
cnf(c_3511,plain,
( multiply(identity,multiply(sk_c10,sk_c11)) != X0
| X1 != X0
| multiply(identity,multiply(sk_c10,sk_c11)) = X1 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_3529,plain,
( inverse(sk_c2) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3144,c_79]) ).
cnf(c_3546,plain,
( inverse(sk_c10) = sk_c2
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3529,c_2456]) ).
cnf(c_3582,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3145,c_59]) ).
cnf(c_3602,plain,
( inverse(sk_c11) = sk_c1
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3582,c_2456]) ).
cnf(c_3633,plain,
( inverse(sk_c2) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3146,c_81]) ).
cnf(c_3679,plain,
( inverse(sk_c10) = sk_c2
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3633,c_2456]) ).
cnf(c_3716,plain,
( inverse(sk_c1) = sk_c11
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3147,c_61]) ).
cnf(c_3790,plain,
( inverse(sk_c11) = sk_c1
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3716,c_2456]) ).
cnf(c_3812,plain,
( X0 != identity
| sk_c11 != sk_c11
| multiply(X0,sk_c11) = multiply(identity,sk_c11) ),
inference(instantiation,[status(thm)],[c_2248]) ).
cnf(c_3814,plain,
( sk_c10 != identity
| sk_c11 != sk_c11
| multiply(sk_c10,sk_c11) = multiply(identity,sk_c11) ),
inference(instantiation,[status(thm)],[c_3812]) ).
cnf(c_3912,plain,
( inverse(sk_c2) = sk_c10
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3148,c_83]) ).
cnf(c_3927,plain,
( inverse(sk_c10) = sk_c2
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3912,c_2456]) ).
cnf(c_3968,plain,
( multiply(inverse(sk_c11),sk_c11) != identity
| sk_c9 != identity
| sk_c9 = multiply(inverse(sk_c11),sk_c11) ),
inference(instantiation,[status(thm)],[c_2211]) ).
cnf(c_3975,plain,
( multiply(inverse(sk_c11),sk_c11) != identity
| sk_c11 != identity
| sk_c11 = multiply(inverse(sk_c11),sk_c11) ),
inference(instantiation,[status(thm)],[c_2211]) ).
cnf(c_3976,plain,
( X0 != multiply(inverse(sk_c11),sk_c11)
| sk_c11 != multiply(inverse(sk_c11),sk_c11)
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_1707]) ).
cnf(c_3981,plain,
( sk_c10 != multiply(inverse(sk_c11),sk_c11)
| sk_c11 != multiply(inverse(sk_c11),sk_c11)
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_3976]) ).
cnf(c_3990,plain,
( multiply(inverse(sk_c11),sk_c11) != identity
| multiply(X0,X1) != identity
| multiply(X0,X1) = multiply(inverse(sk_c11),sk_c11) ),
inference(instantiation,[status(thm)],[c_2211]) ).
cnf(c_4008,plain,
( inverse(sk_c1) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3149,c_63]) ).
cnf(c_4021,plain,
( multiply(sk_c1,sk_c11) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4008,c_2450]) ).
cnf(c_4022,plain,
( inverse(sk_c11) = sk_c1
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4008,c_2456]) ).
cnf(c_4136,plain,
( multiply(identity,sk_c11) != sk_c11
| inverse(sk_c3) != sk_c11
| inverse(sk_c3) = multiply(identity,sk_c11) ),
inference(instantiation,[status(thm)],[c_2252]) ).
cnf(c_4295,plain,
( inverse(sk_c10) = sk_c2
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_2831,c_2456]) ).
cnf(c_4319,plain,
( multiply(X0,X1) != multiply(sk_c10,sk_c11)
| sk_c9 != multiply(sk_c10,sk_c11)
| multiply(X0,X1) = sk_c9 ),
inference(instantiation,[status(thm)],[c_2190]) ).
cnf(c_4320,plain,
( multiply(sk_c10,sk_c10) != multiply(sk_c10,sk_c11)
| sk_c9 != multiply(sk_c10,sk_c11)
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_4319]) ).
cnf(c_4340,plain,
( inverse(sk_c11) = sk_c1
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_2855,c_2456]) ).
cnf(c_4513,plain,
( multiply(X0,X1) != X2
| X3 != X2
| X3 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_4590,plain,
( multiply(sk_c11,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_80,c_2021]) ).
cnf(c_4700,plain,
( multiply(sk_c11,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_60,c_2022]) ).
cnf(c_4753,plain,
( X0 != multiply(sk_c10,sk_c11)
| sk_c9 != multiply(sk_c10,sk_c11)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_2258]) ).
cnf(c_4754,plain,
( sk_c10 != multiply(sk_c10,sk_c11)
| sk_c9 != multiply(sk_c10,sk_c11)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_4753]) ).
cnf(c_4992,plain,
( multiply(sk_c10,sk_c11) != multiply(identity,sk_c11)
| inverse(sk_c3) != multiply(identity,sk_c11)
| multiply(sk_c10,sk_c11) = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_1583]) ).
cnf(c_5162,plain,
( multiply(sk_c10,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_82,c_2027]) ).
cnf(c_5201,plain,
( multiply(sk_c10,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_62,c_2028]) ).
cnf(c_5789,plain,
( X0 != multiply(X1,sk_c11)
| sk_c11 != multiply(X1,sk_c11)
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_1707]) ).
cnf(c_5897,plain,
( X0 != multiply(X1,sk_c11)
| sk_c9 != multiply(X1,sk_c11)
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1529]) ).
cnf(c_6054,plain,
( multiply(X0,X1) != X2
| sk_c10 != X2
| multiply(X0,X1) = sk_c10 ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_6426,plain,
( multiply(sk_c3,multiply(sk_c11,inverse(sk_c10))) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_79,c_3167]) ).
cnf(c_6427,plain,
( multiply(sk_c3,multiply(sk_c11,inverse(sk_c10))) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_59,c_3167]) ).
cnf(c_6435,plain,
( multiply(sk_c4,multiply(sk_c10,inverse(sk_c9))) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_61,c_3167]) ).
cnf(c_6441,plain,
( multiply(sk_c5,multiply(sk_c8,inverse(sk_c11))) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_83,c_3167]) ).
cnf(c_6960,plain,
( inverse(sk_c3) != sk_c11
| X0 != sk_c11
| X0 = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_2814]) ).
cnf(c_6961,plain,
( inverse(sk_c3) != sk_c11
| sk_c10 != sk_c11
| sk_c10 = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_6960]) ).
cnf(c_7306,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2924,c_100]) ).
cnf(c_7357,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_100,c_7306]) ).
cnf(c_7358,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_7306]) ).
cnf(c_7371,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_7306,c_7306]) ).
cnf(c_7920,plain,
( inverse(inverse(sk_c2)) != sk_c11
| sk_c11 != sk_c9
| ~ sP3_iProver_split
| inverse(sk_c6) = sk_c8 ),
inference(superposition,[status(thm)],[c_2049,c_571]) ).
cnf(c_8367,plain,
( multiply(sk_c10,sk_c11) != multiply(identity,multiply(sk_c10,sk_c11))
| sk_c9 != multiply(identity,multiply(sk_c10,sk_c11))
| sk_c9 = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_1796]) ).
cnf(c_9107,plain,
( inverse(X0) != X1
| sk_c11 != X1
| inverse(X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1707]) ).
cnf(c_9109,plain,
( multiply(inverse(X0),sk_c10) != X1
| sk_c11 != X1
| multiply(inverse(X0),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1707]) ).
cnf(c_9110,plain,
( multiply(inverse(sk_c10),sk_c10) != sk_c10
| sk_c11 != sk_c10
| multiply(inverse(sk_c10),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_9109]) ).
cnf(c_9372,plain,
( inverse(sk_c1) != sk_c11
| sk_c10 != identity
| ~ sP0_iProver_split
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4021,c_568]) ).
cnf(c_9929,plain,
( multiply(identity,multiply(sk_c10,sk_c11)) != multiply(sk_c10,sk_c11)
| X0 != multiply(sk_c10,sk_c11)
| multiply(identity,multiply(sk_c10,sk_c11)) = X0 ),
inference(instantiation,[status(thm)],[c_3511]) ).
cnf(c_9930,plain,
( multiply(identity,multiply(sk_c10,sk_c11)) != multiply(sk_c10,sk_c11)
| sk_c10 != multiply(sk_c10,sk_c11)
| multiply(identity,multiply(sk_c10,sk_c11)) = sk_c10 ),
inference(instantiation,[status(thm)],[c_9929]) ).
cnf(c_9977,plain,
( ~ sP3_iProver_split
| inverse(sk_c3) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_1729,c_60,c_1729]) ).
cnf(c_9983,plain,
( sk_c10 != sk_c11
| sk_c11 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1730,c_2415]) ).
cnf(c_10196,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_7358,c_7371]) ).
cnf(c_10205,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_10196,c_7357]) ).
cnf(c_10220,plain,
( multiply(sk_c5,sk_c8) != identity
| X0 != identity
| X0 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_2844]) ).
cnf(c_10222,plain,
( multiply(sk_c5,sk_c8) != identity
| sk_c10 != identity
| sk_c10 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_10220]) ).
cnf(c_10445,plain,
( multiply(inverse(X0),X0) != identity
| multiply(inverse(sk_c11),sk_c11) != identity
| multiply(inverse(X0),X0) = multiply(inverse(sk_c11),sk_c11) ),
inference(instantiation,[status(thm)],[c_3990]) ).
cnf(c_10446,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| multiply(inverse(sk_c11),sk_c11) != identity
| multiply(inverse(sk_c10),sk_c10) = multiply(inverse(sk_c11),sk_c11) ),
inference(instantiation,[status(thm)],[c_10445]) ).
cnf(c_11347,plain,
( multiply(inverse(X0),sk_c10) != multiply(inverse(sk_c11),sk_c11)
| sk_c11 != multiply(inverse(sk_c11),sk_c11)
| multiply(inverse(X0),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_3976]) ).
cnf(c_11348,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(inverse(sk_c11),sk_c11)
| sk_c11 != multiply(inverse(sk_c11),sk_c11)
| multiply(inverse(sk_c10),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_11347]) ).
cnf(c_11676,plain,
( multiply(sk_c2,sk_c9) != sk_c10
| X0 != sk_c10
| X0 = multiply(sk_c2,sk_c9) ),
inference(instantiation,[status(thm)],[c_4513]) ).
cnf(c_11677,plain,
( multiply(sk_c2,sk_c9) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c2,sk_c9) ),
inference(instantiation,[status(thm)],[c_11676]) ).
cnf(c_11699,plain,
( multiply(X0,X1) != sk_c11
| X2 != sk_c11
| X2 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_4513]) ).
cnf(c_11704,plain,
( multiply(sk_c10,sk_c10) != sk_c11
| sk_c10 != sk_c11
| sk_c10 = multiply(sk_c10,sk_c10) ),
inference(instantiation,[status(thm)],[c_11699]) ).
cnf(c_12205,plain,
( multiply(sk_c10,X0) = X0
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_3307,c_1166]) ).
cnf(c_12290,plain,
( multiply(sk_c10,X0) = X0
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_3308,c_1167]) ).
cnf(c_13022,plain,
( multiply(inverse(sk_c11),multiply(sk_c1,multiply(sk_c10,X0))) = X0
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_72,c_2056]) ).
cnf(c_13252,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_2450,c_2056]) ).
cnf(c_13393,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_13252,c_2406]) ).
cnf(c_14985,plain,
( inverse(X0) != identity
| sk_c11 != identity
| inverse(X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_9107]) ).
cnf(c_14987,plain,
( inverse(sk_c10) != identity
| sk_c11 != identity
| inverse(sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_14985]) ).
cnf(c_15222,plain,
( multiply(X0,X1) != sk_c11
| inverse(sk_c3) != sk_c11
| multiply(X0,X1) = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_6960]) ).
cnf(c_15223,plain,
( multiply(X0,X1) != inverse(sk_c3)
| X2 != inverse(sk_c3)
| X2 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_4513]) ).
cnf(c_15227,plain,
( inverse(X0) != sk_c11
| inverse(sk_c3) != sk_c11
| inverse(X0) = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_6960]) ).
cnf(c_15228,plain,
( inverse(sk_c10) != sk_c11
| inverse(sk_c3) != sk_c11
| inverse(sk_c10) = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_15227]) ).
cnf(c_16354,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_2003,c_13393]) ).
cnf(c_20194,plain,
( multiply(identity,multiply(sk_c10,sk_c11)) != X0
| multiply(sk_c4,sk_c10) != X0
| multiply(identity,multiply(sk_c10,sk_c11)) = multiply(sk_c4,sk_c10) ),
inference(instantiation,[status(thm)],[c_3511]) ).
cnf(c_20196,plain,
( multiply(identity,multiply(sk_c10,sk_c11)) != multiply(sk_c4,sk_c10)
| sk_c9 != multiply(sk_c4,sk_c10)
| sk_c9 = multiply(identity,multiply(sk_c10,sk_c11)) ),
inference(instantiation,[status(thm)],[c_2348]) ).
cnf(c_20197,plain,
( multiply(identity,multiply(sk_c10,sk_c11)) != sk_c10
| multiply(sk_c4,sk_c10) != sk_c10
| multiply(identity,multiply(sk_c10,sk_c11)) = multiply(sk_c4,sk_c10) ),
inference(instantiation,[status(thm)],[c_20194]) ).
cnf(c_20743,plain,
( ~ sP1_iProver_split
| multiply(sk_c8,sk_c10) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_1546,c_85,c_1546]) ).
cnf(c_20750,plain,
( ~ sP2_iProver_split
| multiply(sk_c2,sk_c9) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1608,c_92,c_1608]) ).
cnf(c_20916,plain,
( multiply(X0,inverse(X0)) != multiply(X1,sk_c11)
| sk_c11 != multiply(X1,sk_c11)
| multiply(X0,inverse(X0)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_5789]) ).
cnf(c_20917,plain,
( multiply(sk_c10,inverse(sk_c10)) != multiply(sk_c10,sk_c11)
| sk_c11 != multiply(sk_c10,sk_c11)
| multiply(sk_c10,inverse(sk_c10)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_20916]) ).
cnf(c_21001,plain,
( ~ sP2_iProver_split
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1610,c_52,c_1610]) ).
cnf(c_21007,plain,
( sk_c9 != identity
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1623,c_1623,c_2502]) ).
cnf(c_22332,plain,
( multiply(sk_c11,X0) = X0
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_1177,c_3311]) ).
cnf(c_22943,plain,
( multiply(sk_c11,X0) = X0
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_1178,c_3312]) ).
cnf(c_23096,plain,
( inverse(sk_c10) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_6426,c_3307]) ).
cnf(c_23166,plain,
( multiply(inverse(X0),X0) != identity
| sk_c10 != identity
| multiply(inverse(X0),X0) = sk_c10 ),
inference(instantiation,[status(thm)],[c_6054]) ).
cnf(c_23167,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| sk_c10 != identity
| multiply(inverse(sk_c10),sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_23166]) ).
cnf(c_23192,plain,
( multiply(X0,X1) != sk_c11
| sk_c10 != sk_c11
| multiply(X0,X1) = sk_c10 ),
inference(instantiation,[status(thm)],[c_6054]) ).
cnf(c_23193,plain,
( multiply(X0,X1) != multiply(X2,sk_c11)
| sk_c11 != multiply(X2,sk_c11)
| multiply(X0,X1) = sk_c11 ),
inference(instantiation,[status(thm)],[c_5789]) ).
cnf(c_23203,plain,
( multiply(sk_c10,sk_c10) != sk_c11
| sk_c10 != sk_c11
| multiply(sk_c10,sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_23192]) ).
cnf(c_23209,plain,
( multiply(sk_c10,sk_c10) != multiply(sk_c10,sk_c11)
| sk_c11 != multiply(sk_c10,sk_c11)
| multiply(sk_c10,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_23193]) ).
cnf(c_23226,plain,
( multiply(X0,X1) != inverse(sk_c3)
| sk_c10 != inverse(sk_c3)
| multiply(X0,X1) = sk_c10 ),
inference(instantiation,[status(thm)],[c_6054]) ).
cnf(c_23361,plain,
( inverse(sk_c10) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_6427,c_3308]) ).
cnf(c_23433,plain,
( inverse(sk_c10) = sk_c2
| inverse(sk_c10) = identity ),
inference(superposition,[status(thm)],[c_23096,c_2456]) ).
cnf(c_23544,plain,
( inverse(sk_c10) = identity
| inverse(sk_c11) = sk_c1 ),
inference(superposition,[status(thm)],[c_23361,c_2456]) ).
cnf(c_23790,plain,
( inverse(sk_c9) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_6435,c_3310]) ).
cnf(c_23833,plain,
( inverse(sk_c11) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_6441,c_3311]) ).
cnf(c_25202,plain,
( inverse(sk_c11) = sk_c1
| inverse(sk_c9) = identity ),
inference(superposition,[status(thm)],[c_23790,c_2456]) ).
cnf(c_25247,plain,
( inverse(sk_c10) = sk_c2
| inverse(sk_c11) = identity ),
inference(superposition,[status(thm)],[c_23833,c_2456]) ).
cnf(c_26464,plain,
( multiply(sk_c9,multiply(identity,X0)) = X0
| inverse(sk_c11) = sk_c1 ),
inference(superposition,[status(thm)],[c_25202,c_2454]) ).
cnf(c_26490,plain,
( multiply(sk_c9,X0) = X0
| inverse(sk_c11) = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_26464,c_100]) ).
cnf(c_26589,plain,
( multiply(sk_c11,multiply(identity,X0)) = X0
| inverse(sk_c10) = sk_c2 ),
inference(superposition,[status(thm)],[c_25247,c_2454]) ).
cnf(c_26632,plain,
( multiply(sk_c11,X0) = X0
| inverse(sk_c10) = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_26589,c_100]) ).
cnf(c_30201,plain,
( X0 != multiply(sk_c2,sk_c9)
| sk_c11 != multiply(sk_c2,sk_c9)
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_1707]) ).
cnf(c_30203,plain,
( sk_c10 != multiply(sk_c2,sk_c9)
| sk_c11 != multiply(sk_c2,sk_c9)
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_30201]) ).
cnf(c_31764,plain,
( inverse(sk_c2) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_12205,c_5162]) ).
cnf(c_32005,plain,
( inverse(sk_c10) = sk_c2
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_31764,c_2456]) ).
cnf(c_33130,plain,
( X0 != multiply(X1,X2)
| sk_c9 != multiply(X1,X2)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_2258]) ).
cnf(c_33131,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c9 != multiply(sk_c10,sk_c10)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_33130]) ).
cnf(c_34192,plain,
( inverse(identity) != sk_c11
| sk_c10 != sk_c11
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_568]) ).
cnf(c_34193,plain,
( inverse(inverse(sk_c11)) != sk_c11
| sk_c10 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_101,c_568]) ).
cnf(c_34195,plain,
( sk_c10 != sk_c11
| sk_c11 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_34192,c_10205]) ).
cnf(c_34252,plain,
( inverse(identity) != sk_c10
| sk_c10 != sk_c9
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_569]) ).
cnf(c_34255,plain,
( sk_c10 != sk_c9
| sk_c10 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_34252,c_10205]) ).
cnf(c_34303,plain,
( inverse(identity) != sk_c10
| sk_c10 != sk_c9
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_570]) ).
cnf(c_34306,plain,
( sk_c10 != sk_c9
| sk_c10 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_34303,c_10205]) ).
cnf(c_34387,plain,
( inverse(identity) != sk_c11
| sk_c10 != sk_c11
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_571]) ).
cnf(c_34390,plain,
( sk_c10 != sk_c11
| sk_c11 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_34387,c_10205]) ).
cnf(c_37138,plain,
( sk_c10 != identity
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_34193,c_1984,c_2213,c_2212,c_3975,c_3981,c_9372,c_34195]) ).
cnf(c_38290,plain,
( multiply(X0,sk_c11) != inverse(sk_c3)
| X1 != inverse(sk_c3)
| multiply(X0,sk_c11) = X1 ),
inference(instantiation,[status(thm)],[c_2219]) ).
cnf(c_38293,plain,
( multiply(sk_c10,sk_c11) != inverse(sk_c3)
| sk_c10 != inverse(sk_c3)
| multiply(sk_c10,sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_38290]) ).
cnf(c_38319,plain,
( multiply(X0,inverse(X0)) != sk_c11
| inverse(sk_c3) != sk_c11
| multiply(X0,inverse(X0)) = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_15222]) ).
cnf(c_38320,plain,
( multiply(sk_c10,inverse(sk_c10)) != sk_c11
| inverse(sk_c3) != sk_c11
| multiply(sk_c10,inverse(sk_c10)) = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_38319]) ).
cnf(c_40957,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_12290,c_5201]) ).
cnf(c_41149,plain,
( inverse(sk_c11) = sk_c1
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_40957,c_2456]) ).
cnf(c_44091,plain,
( X0 != multiply(inverse(sk_c11),sk_c11)
| sk_c9 != multiply(inverse(sk_c11),sk_c11)
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_5897]) ).
cnf(c_44092,plain,
( sk_c10 != multiply(inverse(sk_c11),sk_c11)
| sk_c9 != multiply(inverse(sk_c11),sk_c11)
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_44091]) ).
cnf(c_56409,plain,
( multiply(inverse(sk_c11),multiply(sk_c1,sk_c9)) = sk_c11
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_52,c_13022]) ).
cnf(c_59435,plain,
( inverse(X0) != sk_c11
| X0 != sk_c10
| multiply(X0,inverse(X0)) = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_1536]) ).
cnf(c_59436,plain,
( inverse(sk_c10) != sk_c11
| sk_c10 != sk_c10
| multiply(sk_c10,inverse(sk_c10)) = multiply(sk_c10,sk_c11) ),
inference(instantiation,[status(thm)],[c_59435]) ).
cnf(c_59776,plain,
( multiply(sk_c2,sk_c9) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(instantiation,[status(thm)],[c_1589]) ).
cnf(c_62527,plain,
( inverse(sk_c2) = sk_c10
| sk_c10 = sk_c11 ),
inference(superposition,[status(thm)],[c_22332,c_4590]) ).
cnf(c_62790,plain,
( inverse(sk_c10) = sk_c2
| sk_c10 = sk_c11 ),
inference(superposition,[status(thm)],[c_62527,c_2456]) ).
cnf(c_64170,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = sk_c11 ),
inference(superposition,[status(thm)],[c_22943,c_4700]) ).
cnf(c_65232,plain,
( inverse(sk_c11) = sk_c1
| sk_c10 = sk_c11 ),
inference(superposition,[status(thm)],[c_64170,c_2456]) ).
cnf(c_68889,plain,
( multiply(X0,inverse(X1)) != inverse(sk_c3)
| inverse(X0) != inverse(sk_c3)
| inverse(X0) = multiply(X0,inverse(X1)) ),
inference(instantiation,[status(thm)],[c_15223]) ).
cnf(c_68890,plain,
( multiply(sk_c10,inverse(sk_c10)) != inverse(sk_c3)
| inverse(sk_c10) != inverse(sk_c3)
| inverse(sk_c10) = multiply(sk_c10,inverse(sk_c10)) ),
inference(instantiation,[status(thm)],[c_68889]) ).
cnf(c_69666,plain,
( multiply(sk_c9,multiply(X0,X1)) = multiply(X0,X1)
| inverse(sk_c11) = sk_c1 ),
inference(superposition,[status(thm)],[c_26490,c_102]) ).
cnf(c_69757,plain,
( multiply(X0,inverse(X1)) != X1
| inverse(multiply(X0,inverse(X1))) = inverse(X1) ),
inference(instantiation,[status(thm)],[c_577]) ).
cnf(c_69758,plain,
( multiply(sk_c10,inverse(sk_c10)) != sk_c10
| inverse(multiply(sk_c10,inverse(sk_c10))) = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_69757]) ).
cnf(c_69862,plain,
( multiply(X0,inverse(sk_c10)) != inverse(sk_c3)
| sk_c10 != inverse(sk_c3)
| multiply(X0,inverse(sk_c10)) = sk_c10 ),
inference(instantiation,[status(thm)],[c_23226]) ).
cnf(c_69863,plain,
( multiply(sk_c10,inverse(sk_c10)) != inverse(sk_c3)
| sk_c10 != inverse(sk_c3)
| multiply(sk_c10,inverse(sk_c10)) = sk_c10 ),
inference(instantiation,[status(thm)],[c_69862]) ).
cnf(c_69894,plain,
inverse(sk_c10) = sk_c2,
inference(global_subsumption_just,[status(thm)],[c_26632,c_105,c_580,c_585,c_573,c_1361,c_1394,c_1528,c_1590,c_1699,c_1704,c_1705,c_2265,c_3546,c_3679,c_3814,c_3927,c_4136,c_4295,c_4992,c_6961,c_9110,c_14987,c_15228,c_20917,c_21007,c_23167,c_23433,c_32005,c_34255,c_34390,c_37138,c_38293,c_38320,c_59436,c_62790,c_68890,c_69758,c_69863]) ).
cnf(c_69970,plain,
( multiply(sk_c2,sk_c9) = sk_c11
| inverse(sk_c3) = sk_c11 ),
inference(demodulation,[status(thm)],[c_2018,c_69894]) ).
cnf(c_69972,plain,
( multiply(sk_c2,sk_c9) = sk_c11
| inverse(sk_c5) = sk_c8 ),
inference(demodulation,[status(thm)],[c_2016,c_69894]) ).
cnf(c_70138,plain,
multiply(sk_c2,multiply(sk_c10,X0)) = X0,
inference(superposition,[status(thm)],[c_69894,c_2003]) ).
cnf(c_71406,plain,
inverse(sk_c11) = sk_c1,
inference(global_subsumption_just,[status(thm)],[c_69666,c_105,c_580,c_585,c_573,c_1361,c_1394,c_1528,c_1623,c_1699,c_1704,c_1705,c_2212,c_2265,c_2502,c_3602,c_3790,c_3814,c_3975,c_4022,c_4136,c_4340,c_4992,c_6961,c_10446,c_11348,c_14987,c_15228,c_20917,c_23544,c_34255,c_34390,c_37138,c_38293,c_38320,c_41149,c_59436,c_65232,c_68890,c_69758,c_69863]) ).
cnf(c_71418,plain,
( multiply(sk_c1,multiply(sk_c1,sk_c9)) = sk_c11
| inverse(sk_c4) = sk_c10 ),
inference(demodulation,[status(thm)],[c_56409,c_71406]) ).
cnf(c_71574,plain,
multiply(sk_c1,sk_c11) = identity,
inference(superposition,[status(thm)],[c_71406,c_101]) ).
cnf(c_74683,plain,
( inverse(sk_c3) = sk_c11
| inverse(sk_c5) = sk_c8
| sk_c10 = sk_c11 ),
inference(superposition,[status(thm)],[c_69970,c_94]) ).
cnf(c_74685,plain,
( inverse(sk_c3) = sk_c11
| sk_c10 = sk_c11 ),
inference(superposition,[status(thm)],[c_69970,c_90]) ).
cnf(c_74718,plain,
( inverse(sk_c11) = sk_c3
| sk_c10 = sk_c11 ),
inference(superposition,[status(thm)],[c_74685,c_2456]) ).
cnf(c_74723,plain,
( sk_c10 = sk_c11
| sk_c3 = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_74718,c_71406]) ).
cnf(c_75003,plain,
( inverse(sk_c5) = sk_c8
| sk_c10 = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_74683,c_94,c_580,c_1394,c_11677,c_30203,c_59776,c_69972]) ).
cnf(c_75015,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c10 = sk_c11 ),
inference(superposition,[status(thm)],[c_75003,c_2450]) ).
cnf(c_75292,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c10
| sk_c10 = sk_c11 ),
inference(superposition,[status(thm)],[c_74723,c_89]) ).
cnf(c_75293,plain,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = sk_c11 ),
inference(superposition,[status(thm)],[c_74723,c_69]) ).
cnf(c_75294,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = sk_c11 ),
inference(superposition,[status(thm)],[c_74723,c_49]) ).
cnf(c_75295,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c10 = sk_c11
| sk_c10 = identity ),
inference(light_normalisation,[status(thm)],[c_75294,c_71574]) ).
cnf(c_75299,plain,
( multiply(sk_c1,sk_c10) = sk_c11
| sk_c10 = sk_c11
| sk_c10 = identity ),
inference(light_normalisation,[status(thm)],[c_75293,c_71574]) ).
cnf(c_75303,plain,
( multiply(sk_c2,sk_c9) = sk_c10
| sk_c10 = sk_c11
| sk_c10 = identity ),
inference(light_normalisation,[status(thm)],[c_75292,c_71574]) ).
cnf(c_76001,plain,
( sk_c10 = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_75295,c_53,c_580,c_1394,c_1701,c_1708,c_1828,c_10222,c_75015,c_75295]) ).
cnf(c_76002,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c10 = sk_c11 ),
inference(renaming,[status(thm)],[c_76001]) ).
cnf(c_76023,plain,
( multiply(sk_c2,sk_c9) = sk_c11
| sk_c10 = sk_c11 ),
inference(superposition,[status(thm)],[c_76002,c_70138]) ).
cnf(c_76089,plain,
sk_c10 = sk_c11,
inference(global_subsumption_just,[status(thm)],[c_75299,c_93,c_580,c_1394,c_1701,c_1708,c_1828,c_10222,c_11677,c_30203,c_59776,c_75015,c_75303,c_76023]) ).
cnf(c_76135,plain,
( multiply(sk_c1,multiply(sk_c1,sk_c9)) = sk_c10
| inverse(sk_c4) = sk_c10 ),
inference(demodulation,[status(thm)],[c_71418,c_76089]) ).
cnf(c_76150,plain,
multiply(sk_c1,sk_c10) = identity,
inference(demodulation,[status(thm)],[c_71574,c_76089]) ).
cnf(c_76151,plain,
inverse(sk_c10) = sk_c1,
inference(demodulation,[status(thm)],[c_71406,c_76089]) ).
cnf(c_76210,plain,
( ~ sP1_iProver_split
| multiply(sk_c8,sk_c10) = sk_c10 ),
inference(demodulation,[status(thm)],[c_20743,c_76089]) ).
cnf(c_76217,plain,
( multiply(inverse(sk_c7),sk_c6) = sk_c8
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(demodulation,[status(thm)],[c_2039,c_76089]) ).
cnf(c_76228,plain,
( sk_c10 != sk_c10
| sk_c10 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_9983,c_76089]) ).
cnf(c_76229,plain,
( ~ sP3_iProver_split
| inverse(sk_c3) = sk_c10 ),
inference(demodulation,[status(thm)],[c_9977,c_76089]) ).
cnf(c_76241,plain,
( multiply(X0,sk_c10) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_571,c_76089]) ).
cnf(c_76243,plain,
( multiply(sk_c10,sk_c10) != sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_573,c_76089]) ).
cnf(c_76251,plain,
( multiply(sk_c3,sk_c10) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c10 ),
inference(demodulation,[status(thm)],[c_69,c_76089]) ).
cnf(c_76255,plain,
( multiply(sk_c10,sk_c10) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(demodulation,[status(thm)],[c_51,c_76089]) ).
cnf(c_76261,plain,
( multiply(sk_c1,sk_c10) = sk_c10
| inverse(sk_c3) = sk_c10 ),
inference(demodulation,[status(thm)],[c_70,c_76089]) ).
cnf(c_76268,plain,
sk_c1 = sk_c2,
inference(light_normalisation,[status(thm)],[c_76151,c_69894]) ).
cnf(c_76338,plain,
( sk_c10 != identity
| ~ sP3_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_76228]) ).
cnf(c_76629,plain,
inverse(sk_c10) = sk_c1,
inference(demodulation,[status(thm)],[c_69894,c_76268]) ).
cnf(c_76643,plain,
( ~ sP2_iProver_split
| multiply(sk_c1,sk_c9) = sk_c10 ),
inference(demodulation,[status(thm)],[c_20750,c_76268]) ).
cnf(c_76811,plain,
( inverse(sk_c3) = sk_c10
| sk_c10 = identity ),
inference(light_normalisation,[status(thm)],[c_76261,c_76150]) ).
cnf(c_76820,plain,
( inverse(sk_c10) = sk_c3
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_76811,c_2456]) ).
cnf(c_76825,plain,
( sk_c10 = identity
| sk_c3 = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_76820,c_76629]) ).
cnf(c_77070,plain,
( multiply(sk_c3,sk_c10) = sk_c10
| sk_c10 = identity ),
inference(light_normalisation,[status(thm)],[c_76251,c_76150]) ).
cnf(c_77250,plain,
( inverse(sk_c3) != sk_c10
| ~ sP3_iProver_split
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_77070,c_76241]) ).
cnf(c_77333,plain,
~ sP3_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_7920,c_76338,c_76229,c_77250]) ).
cnf(c_77376,plain,
( multiply(sk_c1,sk_c10) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_76825,c_77070]) ).
cnf(c_77379,plain,
sk_c10 = identity,
inference(light_normalisation,[status(thm)],[c_77376,c_76150]) ).
cnf(c_77382,plain,
( ~ sP2_iProver_split
| multiply(sk_c1,sk_c9) = identity ),
inference(demodulation,[status(thm)],[c_76643,c_77379]) ).
cnf(c_77392,plain,
( ~ sP1_iProver_split
| multiply(sk_c8,identity) = identity ),
inference(demodulation,[status(thm)],[c_76210,c_77379]) ).
cnf(c_77405,plain,
inverse(identity) = sk_c1,
inference(demodulation,[status(thm)],[c_76629,c_77379]) ).
cnf(c_77408,plain,
sk_c11 = identity,
inference(demodulation,[status(thm)],[c_76089,c_77379]) ).
cnf(c_77423,plain,
( multiply(X0,sk_c9) != identity
| inverse(X0) != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_569,c_77379]) ).
cnf(c_77465,plain,
sk_c1 = identity,
inference(light_normalisation,[status(thm)],[c_77405,c_2415]) ).
cnf(c_77526,plain,
( inverse(identity) != identity
| sk_c9 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_77423]) ).
cnf(c_77531,plain,
( sk_c9 != identity
| ~ sP1_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_77526,c_2415]) ).
cnf(c_77721,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_77382,c_93,c_580,c_1394,c_1527,c_1528,c_1701,c_1704,c_1705,c_1708,c_1828,c_2266,c_3420,c_3814,c_4754,c_10222,c_11677,c_21001,c_30203,c_34306,c_59776,c_75015,c_75303,c_76023,c_77379]) ).
cnf(c_77787,plain,
( multiply(identity,multiply(identity,sk_c9)) = identity
| inverse(sk_c4) = identity ),
inference(light_normalisation,[status(thm)],[c_76135,c_77379,c_77465]) ).
cnf(c_77788,plain,
( inverse(sk_c4) = identity
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_77787,c_100]) ).
cnf(c_77793,plain,
( multiply(sk_c4,multiply(identity,X0)) = X0
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_77788,c_2454]) ).
cnf(c_77807,plain,
( multiply(sk_c4,X0) = X0
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_77793,c_100]) ).
cnf(c_77810,plain,
( multiply(sk_c4,sk_c10) = sk_c10
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_77807]) ).
cnf(c_77850,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_77392,c_93,c_580,c_1363,c_1394,c_1528,c_1530,c_1531,c_1538,c_1689,c_1701,c_1704,c_1705,c_1708,c_1828,c_2187,c_2266,c_2265,c_3420,c_3814,c_4754,c_8367,c_9930,c_10222,c_11677,c_11704,c_20197,c_20196,c_23209,c_30203,c_33131,c_34255,c_59776,c_75015,c_75303,c_76023,c_76255,c_77379,c_77531,c_77810]) ).
cnf(c_77882,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_76217,c_93,c_580,c_1363,c_1394,c_1528,c_1530,c_1531,c_1538,c_1701,c_1704,c_1705,c_1708,c_1828,c_2187,c_2191,c_2213,c_2212,c_2266,c_2265,c_3420,c_3814,c_3968,c_4320,c_8367,c_9930,c_10222,c_11677,c_20197,c_20196,c_23203,c_23209,c_30203,c_44092,c_59776,c_75015,c_75303,c_76023,c_76255,c_77379,c_77810]) ).
cnf(c_78115,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),sk_c10) != sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_2495,c_2495,c_34195,c_76089,c_76243,c_77333,c_77408,c_77721,c_77850,c_77882]) ).
cnf(c_78118,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),identity) != identity ),
inference(light_normalisation,[status(thm)],[c_78115,c_77379,c_77408]) ).
cnf(c_78119,plain,
( multiply(X0,inverse(X1)) != inverse(X0)
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(X1) != identity ),
inference(demodulation,[status(thm)],[c_78118,c_2406,c_2456,c_16354]) ).
cnf(c_78126,plain,
( multiply(X0,inverse(X0)) != inverse(X0)
| inverse(X0) != identity ),
inference(superposition,[status(thm)],[c_2450,c_78119]) ).
cnf(c_78130,plain,
inverse(X0) != identity,
inference(light_normalisation,[status(thm)],[c_78126,c_2450]) ).
cnf(c_78131,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2415,c_78130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP340-1 : TPTP v8.1.2. Released v2.5.0.
% 0.15/0.15 % Command : run_iprover %s %d THM
% 0.15/0.37 % Computer : n010.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 02:24:19 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 16.66/3.19 % SZS status Started for theBenchmark.p
% 16.66/3.19 % SZS status Unsatisfiable for theBenchmark.p
% 16.66/3.19
% 16.66/3.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 16.66/3.19
% 16.66/3.19 ------ iProver source info
% 16.66/3.19
% 16.66/3.19 git: date: 2023-05-31 18:12:56 +0000
% 16.66/3.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 16.66/3.19 git: non_committed_changes: false
% 16.66/3.19 git: last_make_outside_of_git: false
% 16.66/3.19
% 16.66/3.19 ------ Parsing...successful
% 16.66/3.19
% 16.66/3.19
% 16.66/3.19
% 16.66/3.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 16.66/3.19
% 16.66/3.19 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 16.66/3.19
% 16.66/3.19 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 16.66/3.19 ------ Proving...
% 16.66/3.19 ------ Problem Properties
% 16.66/3.19
% 16.66/3.19
% 16.66/3.19 clauses 59
% 16.66/3.19 conjectures 56
% 16.66/3.19 EPR 0
% 16.66/3.19 Horn 8
% 16.66/3.19 unary 3
% 16.66/3.19 binary 50
% 16.66/3.19 lits 126
% 16.66/3.19 lits eq 116
% 16.66/3.19 fd_pure 0
% 16.66/3.19 fd_pseudo 0
% 16.66/3.19 fd_cond 0
% 16.66/3.19 fd_pseudo_cond 0
% 16.66/3.19 AC symbols 0
% 16.66/3.19
% 16.66/3.19 ------ Schedule dynamic 5 is on
% 16.66/3.19
% 16.66/3.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 16.66/3.19
% 16.66/3.19
% 16.66/3.19 ------
% 16.66/3.19 Current options:
% 16.66/3.19 ------
% 16.66/3.19
% 16.66/3.19
% 16.66/3.19
% 16.66/3.19
% 16.66/3.19 ------ Proving...
% 16.66/3.19
% 16.66/3.19
% 16.66/3.19 % SZS status Unsatisfiable for theBenchmark.p
% 16.66/3.19
% 16.66/3.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.66/3.20
% 16.66/3.20
%------------------------------------------------------------------------------