TSTP Solution File: GRP260-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP260-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:21:56 EDT 2024
% Result : Unsatisfiable 38.18s 6.05s
% Output : CNFRefutation 38.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 35
% Syntax : Number of clauses : 355 ( 130 unt; 132 nHn; 262 RR)
% Number of literals : 717 ( 637 equ; 251 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 228 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c9,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c9,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_93,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
cnf(c_94,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
cnf(c_96,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
cnf(c_97,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/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_c11) != sk_c10
| multiply(X5,sk_c10) != sk_c9
| multiply(X6,sk_c11) != sk_c10
| multiply(X7,sk_c10) != sk_c9
| multiply(sk_c9,sk_c11) != sk_c10
| 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/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_100,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_101,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_102,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/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_c11) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c10) != sk_c9
| multiply(sk_c9,sk_c11) != sk_c10
| 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_104,plain,
multiply(identity,sk_c10) = sk_c10,
inference(instantiation,[status(thm)],[c_100]) ).
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_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_103]) ).
cnf(c_569,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_103]) ).
cnf(c_570,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)
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_103]) ).
cnf(c_571,negated_conjecture,
( multiply(sk_c9,sk_c11) != sk_c10
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_103]) ).
cnf(c_572,plain,
X0 = X0,
theory(equality) ).
cnf(c_573,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_574,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_578,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_572]) ).
cnf(c_836,plain,
( multiply(sk_c9,sk_c11) != X0
| sk_c10 != X0
| multiply(sk_c9,sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_840,plain,
( multiply(sk_c9,sk_c11) != multiply(X0,X1)
| sk_c10 != multiply(X0,X1)
| multiply(sk_c9,sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_836]) ).
cnf(c_841,plain,
( sk_c11 != X0
| sk_c9 != X1
| multiply(sk_c9,sk_c11) = multiply(X1,X0) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_842,plain,
( multiply(sk_c9,sk_c11) != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c10)
| multiply(sk_c9,sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_840]) ).
cnf(c_843,plain,
( sk_c11 != sk_c10
| sk_c9 != sk_c10
| multiply(sk_c9,sk_c11) = multiply(sk_c10,sk_c10) ),
inference(instantiation,[status(thm)],[c_841]) ).
cnf(c_853,plain,
( multiply(X0,X1) != X2
| sk_c10 != X2
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_856,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_572]) ).
cnf(c_858,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_879,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_858]) ).
cnf(c_880,plain,
( sk_c10 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_879]) ).
cnf(c_886,plain,
( multiply(identity,X0) != X0
| sk_c10 != X0
| sk_c10 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_853]) ).
cnf(c_887,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_886]) ).
cnf(c_888,plain,
( multiply(inverse(X0),X0) != identity
| sk_c10 != identity
| sk_c10 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_853]) ).
cnf(c_889,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| sk_c10 != identity
| sk_c10 = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_888]) ).
cnf(c_893,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_894,plain,
( multiply(X0,X1) != multiply(X2,X3)
| sk_c10 != multiply(X2,X3)
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_853]) ).
cnf(c_897,plain,
( sk_c10 != X0
| sk_c9 != X0
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_969,plain,
( multiply(sk_c9,sk_c11) != multiply(identity,X0)
| sk_c10 != multiply(identity,X0)
| multiply(sk_c9,sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_840]) ).
cnf(c_970,plain,
( multiply(sk_c9,sk_c11) != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| multiply(sk_c9,sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_969]) ).
cnf(c_1019,plain,
( inverse(sk_c3) = sk_c11
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_90,c_571]) ).
cnf(c_1030,plain,
( multiply(inverse(X0),X0) != identity
| X1 != identity
| multiply(inverse(X0),X0) = X1 ),
inference(instantiation,[status(thm)],[c_893]) ).
cnf(c_1048,plain,
( inverse(sk_c5) = sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_94,c_571]) ).
cnf(c_1051,plain,
( inverse(sk_c7) = sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_96,c_571]) ).
cnf(c_1054,plain,
( inverse(sk_c6) = sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_97,c_571]) ).
cnf(c_1117,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c11,X0)
| multiply(sk_c9,sk_c11) = sk_c10 ),
inference(superposition,[status(thm)],[c_93,c_102]) ).
cnf(c_1118,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c11,X0)
| multiply(sk_c2,sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_73,c_102]) ).
cnf(c_1142,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_1191,plain,
( multiply(X0,X1) != multiply(identity,X2)
| sk_c10 != multiply(identity,X2)
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_894]) ).
cnf(c_1192,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_1191]) ).
cnf(c_1199,plain,
( X0 != multiply(sk_c4,sk_c10)
| sk_c9 != multiply(sk_c4,sk_c10)
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_858]) ).
cnf(c_1482,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1142,c_100]) ).
cnf(c_1511,plain,
( multiply(inverse(sk_c8),sk_c11) = sk_c10
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_85,c_1482]) ).
cnf(c_1523,plain,
( multiply(inverse(sk_c9),sk_c10) = sk_c11
| inverse(sk_c6) = sk_c8 ),
inference(superposition,[status(thm)],[c_97,c_1482]) ).
cnf(c_1524,plain,
( multiply(inverse(sk_c9),sk_c10) = sk_c11
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_96,c_1482]) ).
cnf(c_1525,plain,
( multiply(inverse(sk_c9),sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_94,c_1482]) ).
cnf(c_1529,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_1482]) ).
cnf(c_1538,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1482,c_1482]) ).
cnf(c_1813,plain,
( X0 != identity
| X1 != X2
| multiply(X0,X1) = multiply(identity,X2) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1814,plain,
( sk_c10 != sk_c10
| sk_c10 != identity
| multiply(sk_c10,sk_c10) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1813]) ).
cnf(c_1883,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(resolution,[status(thm)],[c_91,c_571]) ).
cnf(c_2013,plain,
( X0 != X1
| X1 = X0 ),
inference(resolution,[status(thm)],[c_573,c_572]) ).
cnf(c_2142,plain,
( multiply(sk_c1,sk_c11) != sk_c10
| inverse(sk_c1) != sk_c11
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_2269,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_1199]) ).
cnf(c_2364,plain,
( inverse(sk_c1) != sk_c11
| ~ sP0_iProver_def
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_50,c_568]) ).
cnf(c_2367,plain,
( inverse(sk_c3) != sk_c11
| ~ sP0_iProver_def
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(superposition,[status(thm)],[c_49,c_568]) ).
cnf(c_2369,plain,
( inverse(sk_c3) != sk_c11
| ~ sP0_iProver_def
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_59,c_568]) ).
cnf(c_2376,plain,
( inverse(inverse(sk_c11)) != sk_c11
| sk_c10 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_101,c_568]) ).
cnf(c_2424,plain,
( inverse(sk_c4) != sk_c10
| ~ sP1_iProver_def
| multiply(sk_c9,sk_c11) = sk_c10 ),
inference(superposition,[status(thm)],[c_91,c_569]) ).
cnf(c_2436,plain,
( inverse(sk_c2) != sk_c10
| ~ sP1_iProver_def
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_72,c_569]) ).
cnf(c_2437,plain,
( inverse(sk_c2) != sk_c10
| ~ sP1_iProver_def
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_70,c_569]) ).
cnf(c_2439,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c9 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_101,c_569]) ).
cnf(c_2595,plain,
( multiply(inverse(inverse(X0)),inverse(X0)) != inverse(inverse(inverse(X0)))
| multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| inverse(X0) != inverse(identity)
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_101,c_570]) ).
cnf(c_2792,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_102,c_1482]) ).
cnf(c_2869,plain,
( inverse(sk_c3) = sk_c11
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1019,c_80,c_60,c_90,c_571,c_2364,c_2437]) ).
cnf(c_2901,negated_conjecture,
( multiply(sk_c9,sk_c11) != sk_c10
| sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_571,c_571,c_2142,c_2369,c_2367,c_2869]) ).
cnf(c_2996,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1529,c_1538]) ).
cnf(c_3009,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1538,c_101]) ).
cnf(c_3064,plain,
( inverse(sk_c1) = sk_c11
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(resolution,[status(thm)],[c_2013,c_63]) ).
cnf(c_3085,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c2,sk_c10) ),
inference(resolution,[status(thm)],[c_2013,c_71]) ).
cnf(c_3599,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),sk_c10) != sk_c11
| sk_c11 != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_570,c_3009]) ).
cnf(c_3823,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_60,c_3009]) ).
cnf(c_3824,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_82,c_3009]) ).
cnf(c_3826,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_84,c_3009]) ).
cnf(c_3827,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_64,c_3009]) ).
cnf(c_3833,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_3009,c_100]) ).
cnf(c_3835,plain,
( multiply(X0,inverse(X0)) != inverse(X0)
| multiply(inverse(X0),sk_c10) != sk_c11
| inverse(X0) != inverse(identity)
| sk_c11 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_3009,c_3599]) ).
cnf(c_3840,plain,
( multiply(inverse(X0),sk_c10) != sk_c11
| inverse(X0) != identity
| sk_c11 != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3835,c_3009,c_3833]) ).
cnf(c_3844,plain,
( multiply(inverse(sk_c10),sk_c10) != sk_c11
| inverse(sk_c10) != identity
| sk_c11 != identity
| ~ sP2_iProver_def ),
inference(instantiation,[status(thm)],[c_3840]) ).
cnf(c_3918,plain,
( sk_c10 != multiply(sk_c2,sk_c10)
| sk_c9 != multiply(sk_c2,sk_c10)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_897]) ).
cnf(c_4259,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3823,c_59]) ).
cnf(c_4286,plain,
( inverse(sk_c2) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3824,c_81]) ).
cnf(c_4309,plain,
( multiply(sk_c2,sk_c10) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_4286,c_3009]) ).
cnf(c_4397,plain,
( inverse(sk_c4) != sk_c10
| ~ sP1_iProver_def
| inverse(sk_c2) = sk_c10 ),
inference(resolution,[status(thm)],[c_569,c_81]) ).
cnf(c_4400,plain,
( inverse(sk_c2) != sk_c10
| ~ sP1_iProver_def
| inverse(sk_c4) = sk_c10 ),
inference(resolution,[status(thm)],[c_569,c_72]) ).
cnf(c_4404,plain,
( inverse(sk_c2) != sk_c10
| ~ sP1_iProver_def
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(resolution,[status(thm)],[c_569,c_69]) ).
cnf(c_4405,plain,
( inverse(sk_c2) != sk_c10
| ~ sP1_iProver_def
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(resolution,[status(thm)],[c_569,c_71]) ).
cnf(c_4614,plain,
( inverse(sk_c2) = sk_c10
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3826,c_83]) ).
cnf(c_4623,plain,
( multiply(sk_c2,sk_c10) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4614,c_3009]) ).
cnf(c_4711,plain,
( inverse(sk_c1) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3827,c_63]) ).
cnf(c_4721,plain,
( multiply(sk_c1,sk_c11) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4711,c_3009]) ).
cnf(c_5040,plain,
( multiply(X0,X1) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_879]) ).
cnf(c_5794,plain,
( inverse(inverse(sk_c8)) != sk_c11
| ~ sP0_iProver_def
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_1511,c_568]) ).
cnf(c_5828,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_1529,c_2996]) ).
cnf(c_5829,plain,
( sk_c9 != identity
| ~ sP1_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_2439,c_5828]) ).
cnf(c_5830,plain,
( sk_c10 != identity
| ~ sP0_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_2376,c_5828]) ).
cnf(c_5999,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_5794,c_2142,c_2364,c_2367,c_4259,c_5830]) ).
cnf(c_6456,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1883,c_81,c_91,c_571,c_2142,c_2369,c_2367,c_2869,c_4405]) ).
cnf(c_6532,plain,
( inverse(sk_c4) != sk_c10
| ~ sP1_iProver_def
| sP2_iProver_def ),
inference(resolution,[status(thm)],[c_6456,c_569]) ).
cnf(c_6551,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| sk_c11 != identity
| multiply(inverse(sk_c10),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1030]) ).
cnf(c_6583,plain,
( multiply(inverse(X0),X0) != multiply(sk_c4,sk_c10)
| sk_c9 != multiply(sk_c4,sk_c10)
| sk_c9 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_2269]) ).
cnf(c_6587,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c4,sk_c10)
| sk_c9 != multiply(sk_c4,sk_c10)
| sk_c9 = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_6583]) ).
cnf(c_6598,plain,
( ~ sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_6532,c_2436,c_4286,c_5829,c_6532]) ).
cnf(c_7655,plain,
( X0 != multiply(sk_c5,sk_c8)
| inverse(sk_c1) = sk_c11
| sk_c11 = X0 ),
inference(resolution,[status(thm)],[c_3064,c_573]) ).
cnf(c_7656,plain,
( sk_c10 != multiply(sk_c5,sk_c8)
| inverse(sk_c1) = sk_c11
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_7655]) ).
cnf(c_8555,plain,
( sk_c10 != multiply(X0,X1)
| sk_c9 != multiply(X0,X1)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_897]) ).
cnf(c_9517,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c9 = multiply(sk_c2,sk_c10) ),
inference(resolution,[status(thm)],[c_3085,c_2013]) ).
cnf(c_10166,plain,
( sk_c11 != X0
| sk_c9 != identity
| multiply(sk_c9,sk_c11) = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_1813]) ).
cnf(c_10167,plain,
( sk_c11 != sk_c10
| sk_c9 != identity
| multiply(sk_c9,sk_c11) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_10166]) ).
cnf(c_10574,plain,
( ~ sP1_iProver_def
| inverse(sk_c2) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_4397,c_4286,c_5829]) ).
cnf(c_10588,plain,
( ~ sP1_iProver_def
| inverse(sk_c4) = sk_c10 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4400,c_10574]) ).
cnf(c_10589,plain,
( ~ sP1_iProver_def
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4405,c_10574]) ).
cnf(c_10590,plain,
( ~ sP1_iProver_def
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4404,c_10574]) ).
cnf(c_13513,plain,
( multiply(inverse(X0),X0) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_5040]) ).
cnf(c_13514,plain,
( multiply(inverse(X0),X0) != identity
| sk_c9 != identity
| multiply(inverse(X0),X0) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1030]) ).
cnf(c_13979,plain,
( multiply(sk_c9,sk_c11) != sk_c10
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_571,c_5999]) ).
cnf(c_13980,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_101,c_2996]) ).
cnf(c_14133,plain,
( multiply(X0,inverse(identity)) != inverse(X0)
| inverse(multiply(X0,identity)) != identity
| multiply(inverse(identity),sk_c10) != sk_c11
| multiply(identity,inverse(identity)) != sk_c11
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_13980,c_570]) ).
cnf(c_14199,plain,
( multiply(identity,sk_c10) != sk_c11
| multiply(identity,identity) != sk_c11
| inverse(X0) != X0
| inverse(X0) != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_14133,c_2996,c_13980]) ).
cnf(c_14200,plain,
( inverse(X0) != X0
| inverse(X0) != identity
| sk_c11 != sk_c10
| sk_c11 != identity
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_14199,c_100]) ).
cnf(c_14216,plain,
( inverse(identity) != identity
| sk_c11 != sk_c10
| sk_c11 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_13980,c_14200]) ).
cnf(c_14217,plain,
( sk_c11 != sk_c10
| sk_c11 != identity
| ~ sP2_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_14216,c_13980]) ).
cnf(c_14218,plain,
( multiply(sk_c9,sk_c11) != sk_c10
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_13979,c_2901,c_6598]) ).
cnf(c_15883,plain,
( multiply(sk_c2,sk_c10) != X0
| sk_c10 != X0
| sk_c10 = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_853]) ).
cnf(c_15884,plain,
( multiply(sk_c2,sk_c10) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_15883]) ).
cnf(c_24337,plain,
( inverse(sk_c4) != sk_c10
| ~ sP1_iProver_def ),
inference(resolution,[status(thm)],[c_10589,c_569]) ).
cnf(c_24675,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_10590,c_10588,c_24337]) ).
cnf(c_27567,plain,
( multiply(sk_c5,sk_c8) != X0
| sk_c10 != X0
| sk_c10 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_853]) ).
cnf(c_27568,plain,
( multiply(sk_c5,sk_c8) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_27567]) ).
cnf(c_30389,plain,
( sk_c10 != multiply(inverse(X0),X0)
| sk_c9 != multiply(inverse(X0),X0)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_8555]) ).
cnf(c_30392,plain,
( sk_c10 != multiply(inverse(sk_c10),sk_c10)
| sk_c9 != multiply(inverse(sk_c10),sk_c10)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_30389]) ).
cnf(c_33910,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_2424,c_10588,c_24337]) ).
cnf(c_38523,plain,
( multiply(sk_c9,sk_c11) != sk_c10
| sP0_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_571,c_33910]) ).
cnf(c_38529,plain,
( multiply(sk_c9,sk_c11) != sk_c10
| sP2_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_38523,c_5999]) ).
cnf(c_38532,plain,
( multiply(inverse(sk_c11),X0) = multiply(sk_c3,X0)
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_60,c_1538]) ).
cnf(c_38533,plain,
( multiply(inverse(sk_c10),X0) = multiply(sk_c4,X0)
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_82,c_1538]) ).
cnf(c_38541,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1538,c_101]) ).
cnf(c_38544,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_2996,c_101]) ).
cnf(c_38646,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_38532,c_101]) ).
cnf(c_38658,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_38533,c_101]) ).
cnf(c_38780,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_84,c_38541]) ).
cnf(c_38781,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_64,c_38541]) ).
cnf(c_38790,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_38541,c_102]) ).
cnf(c_38792,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_38541,c_102]) ).
cnf(c_38800,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_38790,c_100]) ).
cnf(c_38831,plain,
multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[status(thm)],[c_38800,c_102]) ).
cnf(c_38922,plain,
( inverse(sk_c2) = sk_c10
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_38780,c_83]) ).
cnf(c_38929,plain,
( multiply(inverse(sk_c10),X0) = multiply(sk_c2,X0)
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_38922,c_1538]) ).
cnf(c_38943,plain,
( inverse(sk_c1) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_38781,c_63]) ).
cnf(c_38949,plain,
( multiply(inverse(sk_c11),X0) = multiply(sk_c1,X0)
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_38943,c_1538]) ).
cnf(c_39085,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_38646,c_59]) ).
cnf(c_39094,plain,
( multiply(sk_c1,sk_c11) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_39085,c_38541]) ).
cnf(c_39126,plain,
( inverse(sk_c3) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_39094,c_50]) ).
cnf(c_39191,plain,
( multiply(sk_c3,sk_c11) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_39126,c_38541]) ).
cnf(c_39333,plain,
( inverse(sk_c2) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_38658,c_81]) ).
cnf(c_39339,plain,
( multiply(sk_c2,sk_c10) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_39333,c_38541]) ).
cnf(c_39352,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_39191,c_49]) ).
cnf(c_39369,plain,
( inverse(sk_c4) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_39339,c_72]) ).
cnf(c_39423,plain,
( multiply(inverse(sk_c10),X0) = multiply(sk_c4,X0)
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_39369,c_1538]) ).
cnf(c_39426,plain,
( multiply(inverse(sk_c10),sk_c10) = multiply(sk_c4,sk_c10)
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_39423]) ).
cnf(c_39458,plain,
sk_c10 = identity,
inference(superposition,[status(thm)],[c_39352,c_39094]) ).
cnf(c_39637,plain,
( multiply(inverse(sk_c10),X0) = multiply(sk_c2,X0)
| sk_c11 = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_38929,c_39458]) ).
cnf(c_39646,plain,
( multiply(sk_c2,sk_c10) = identity
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_39637,c_101]) ).
cnf(c_39719,plain,
multiply(sk_c2,sk_c10) = identity,
inference(global_subsumption_just,[status(thm)],[c_39646,c_104,c_578,c_887,c_970,c_4309,c_4623,c_10167,c_14217,c_14218,c_39646]) ).
cnf(c_39721,plain,
multiply(sk_c2,sk_c10) = sk_c10,
inference(light_normalisation,[status(thm)],[c_39719,c_39458]) ).
cnf(c_39729,plain,
( inverse(sk_c6) = sk_c8
| sk_c10 = sk_c9 ),
inference(demodulation,[status(thm)],[c_77,c_39721]) ).
cnf(c_39734,plain,
multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_39721,c_102]) ).
cnf(c_39747,plain,
multiply(sk_c2,X0) = X0,
inference(superposition,[status(thm)],[c_38800,c_39734]) ).
cnf(c_39753,plain,
multiply(sk_c2,sk_c10) = sk_c10,
inference(instantiation,[status(thm)],[c_39747]) ).
cnf(c_39754,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = sk_c10,
inference(light_normalisation,[status(thm)],[c_38792,c_39458]) ).
cnf(c_39786,plain,
( multiply(sk_c3,multiply(sk_c11,inverse(sk_c10))) = sk_c10
| multiply(sk_c9,sk_c11) = sk_c10 ),
inference(superposition,[status(thm)],[c_89,c_39754]) ).
cnf(c_39801,plain,
( multiply(sk_c5,multiply(sk_c8,inverse(sk_c11))) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_63,c_39754]) ).
cnf(c_39810,plain,
( multiply(sk_c9,multiply(sk_c11,inverse(sk_c10))) = sk_c10
| inverse(sk_c6) = sk_c8 ),
inference(superposition,[status(thm)],[c_97,c_39754]) ).
cnf(c_39811,plain,
( multiply(sk_c9,multiply(sk_c11,inverse(sk_c10))) = sk_c10
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_96,c_39754]) ).
cnf(c_39812,plain,
( multiply(sk_c9,multiply(sk_c11,inverse(sk_c10))) = sk_c10
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_94,c_39754]) ).
cnf(c_39814,plain,
( multiply(sk_c9,multiply(sk_c11,inverse(sk_c10))) = sk_c10
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_90,c_39754]) ).
cnf(c_39815,plain,
multiply(identity,multiply(X0,inverse(X0))) = sk_c10,
inference(superposition,[status(thm)],[c_100,c_39754]) ).
cnf(c_39949,plain,
( multiply(inverse(sk_c11),X0) = multiply(sk_c1,X0)
| sk_c11 = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_38949,c_39458]) ).
cnf(c_39961,plain,
( multiply(sk_c1,sk_c11) = identity
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_39949,c_101]) ).
cnf(c_40010,plain,
sk_c10 = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_39729,c_101,c_105,c_578,c_856,c_888,c_889,c_3918,c_6587,c_9517,c_13513,c_13514,c_15884,c_30389,c_30392,c_39426,c_39458,c_39753]) ).
cnf(c_40014,plain,
( multiply(inverse(sk_c10),sk_c10) = sk_c11
| inverse(sk_c7) = sk_c6 ),
inference(demodulation,[status(thm)],[c_1524,c_40010]) ).
cnf(c_40015,plain,
( multiply(inverse(sk_c10),sk_c10) = sk_c11
| inverse(sk_c6) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1523,c_40010]) ).
cnf(c_40045,plain,
( multiply(sk_c10,sk_c11) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
inference(demodulation,[status(thm)],[c_95,c_40010]) ).
cnf(c_40050,plain,
( multiply(sk_c10,sk_c11) = sk_c10
| inverse(sk_c6) = sk_c8 ),
inference(demodulation,[status(thm)],[c_97,c_40010]) ).
cnf(c_40051,plain,
( multiply(sk_c10,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c6 ),
inference(demodulation,[status(thm)],[c_96,c_40010]) ).
cnf(c_40052,plain,
( multiply(sk_c10,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c8 ),
inference(demodulation,[status(thm)],[c_94,c_40010]) ).
cnf(c_40054,plain,
( multiply(sk_c10,sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
inference(demodulation,[status(thm)],[c_90,c_40010]) ).
cnf(c_40058,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(light_normalisation,[status(thm)],[c_39815,c_38541,c_39458]) ).
cnf(c_40060,plain,
multiply(sk_c10,multiply(sk_c10,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_40058,c_102]) ).
cnf(c_40180,plain,
multiply(sk_c1,sk_c11) = identity,
inference(global_subsumption_just,[status(thm)],[c_39961,c_104,c_578,c_842,c_843,c_856,c_880,c_887,c_1192,c_1814,c_4721,c_14217,c_14218,c_39458,c_39961,c_40010]) ).
cnf(c_40182,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(light_normalisation,[status(thm)],[c_40180,c_39458]) ).
cnf(c_40185,plain,
multiply(sk_c1,multiply(sk_c11,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_40182,c_102]) ).
cnf(c_40198,plain,
multiply(sk_c10,X0) = X0,
inference(superposition,[status(thm)],[c_38800,c_40060]) ).
cnf(c_40206,plain,
multiply(sk_c1,multiply(sk_c11,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_40185,c_40198]) ).
cnf(c_40213,plain,
multiply(sk_c1,sk_c11) = identity,
inference(superposition,[status(thm)],[c_2996,c_40206]) ).
cnf(c_40220,plain,
inverse(multiply(sk_c1,sk_c11)) = sk_c10,
inference(superposition,[status(thm)],[c_40206,c_39754]) ).
cnf(c_40221,plain,
inverse(identity) = sk_c10,
inference(light_normalisation,[status(thm)],[c_40220,c_40213]) ).
cnf(c_40231,plain,
( multiply(inverse(sk_c10),sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_1525,c_40010]) ).
cnf(c_40232,plain,
( inverse(sk_c5) = sk_c8
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_40231,c_101]) ).
cnf(c_40233,plain,
( inverse(sk_c5) = sk_c8
| sk_c11 = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_40232,c_39458]) ).
cnf(c_40241,plain,
( multiply(sk_c8,sk_c5) = identity
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_40233,c_101]) ).
cnf(c_40377,plain,
( multiply(sk_c8,sk_c5) = sk_c10
| sk_c11 = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_40241,c_39458]) ).
cnf(c_41265,plain,
multiply(inverse(X0),multiply(identity,multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_100,c_2792]) ).
cnf(c_41374,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),X0)),identity) = X1,
inference(superposition,[status(thm)],[c_101,c_2792]) ).
cnf(c_41439,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_38541,c_2792]) ).
cnf(c_41442,plain,
( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,sk_c10)) = sk_c11
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_40054,c_2792]) ).
cnf(c_41444,plain,
( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,sk_c10)) = sk_c11
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_40052,c_2792]) ).
cnf(c_41525,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(superposition,[status(thm)],[c_38800,c_2792]) ).
cnf(c_41593,plain,
( multiply(inverse(sk_c10),sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
inference(demodulation,[status(thm)],[c_41444,c_41525]) ).
cnf(c_41595,plain,
( multiply(inverse(sk_c10),sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
inference(demodulation,[status(thm)],[c_41442,c_41525]) ).
cnf(c_41771,plain,
multiply(inverse(X0),multiply(sk_c10,multiply(X0,X1))) = X1,
inference(light_normalisation,[status(thm)],[c_41265,c_39458]) ).
cnf(c_41846,plain,
( multiply(inverse(sk_c10),multiply(sk_c10,sk_c10)) = sk_c11
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_40054,c_41771]) ).
cnf(c_41848,plain,
( multiply(inverse(sk_c10),multiply(sk_c10,sk_c10)) = sk_c11
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_40052,c_41771]) ).
cnf(c_41849,plain,
( multiply(inverse(sk_c10),multiply(sk_c10,sk_c10)) = sk_c11
| inverse(sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_40051,c_41771]) ).
cnf(c_41850,plain,
( multiply(inverse(sk_c10),multiply(sk_c10,sk_c10)) = sk_c11
| inverse(sk_c6) = sk_c8 ),
inference(superposition,[status(thm)],[c_40050,c_41771]) ).
cnf(c_41914,plain,
multiply(inverse(X0),multiply(sk_c10,X0)) = identity,
inference(superposition,[status(thm)],[c_2996,c_41771]) ).
cnf(c_42008,plain,
( inverse(sk_c6) = sk_c8
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_41850,c_41914]) ).
cnf(c_42009,plain,
( inverse(sk_c7) = sk_c6
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_41849,c_41914]) ).
cnf(c_42010,plain,
( inverse(sk_c5) = sk_c8
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_41848,c_41914]) ).
cnf(c_42012,plain,
( inverse(sk_c3) = sk_c11
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_41846,c_41914]) ).
cnf(c_42393,plain,
multiply(inverse(multiply(X0,X1)),X0) = multiply(inverse(X1),identity),
inference(superposition,[status(thm)],[c_2996,c_41525]) ).
cnf(c_43105,plain,
multiply(inverse(multiply(inverse(X0),sk_c10)),sk_c10) = X0,
inference(light_normalisation,[status(thm)],[c_41374,c_39458,c_42393]) ).
cnf(c_43116,plain,
multiply(inverse(multiply(X0,sk_c10)),sk_c10) = inverse(X0),
inference(superposition,[status(thm)],[c_1538,c_43105]) ).
cnf(c_43121,plain,
( multiply(inverse(multiply(sk_c2,sk_c10)),sk_c10) = sk_c10
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_39637,c_43105]) ).
cnf(c_43157,plain,
multiply(inverse(multiply(inverse(X0),sk_c10)),multiply(sk_c10,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_43105,c_102]) ).
cnf(c_43169,plain,
( inverse(sk_c2) = sk_c10
| sk_c11 = sk_c10 ),
inference(demodulation,[status(thm)],[c_43121,c_43116]) ).
cnf(c_43223,plain,
multiply(inverse(X0),sk_c10) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_41439,c_2996,c_39458,c_42393]) ).
cnf(c_43260,plain,
( multiply(sk_c6,sk_c10) = sk_c6
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_86,c_43223]) ).
cnf(c_43279,plain,
inverse(sk_c10) = identity,
inference(superposition,[status(thm)],[c_43223,c_101]) ).
cnf(c_43281,plain,
multiply(X0,sk_c10) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_43223,c_1538]) ).
cnf(c_43307,plain,
inverse(sk_c2) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_43260,c_104,c_578,c_887,c_970,c_4286,c_4614,c_10167,c_14217,c_14218,c_43169]) ).
cnf(c_43369,plain,
multiply(sk_c2,sk_c10) = identity,
inference(superposition,[status(thm)],[c_43307,c_38541]) ).
cnf(c_43371,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm)],[c_43307,c_101]) ).
cnf(c_43391,plain,
inverse(sk_c10) = sk_c10,
inference(light_normalisation,[status(thm)],[c_43279,c_39458]) ).
cnf(c_43403,plain,
multiply(sk_c10,sk_c2) = sk_c10,
inference(light_normalisation,[status(thm)],[c_43371,c_39458]) ).
cnf(c_43470,plain,
multiply(inverse(X0),multiply(X0,multiply(inverse(identity),X1))) = X1,
inference(superposition,[status(thm)],[c_101,c_38831]) ).
cnf(c_43570,plain,
multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_38831,c_38800]) ).
cnf(c_43730,plain,
multiply(inverse(X0),multiply(X0,multiply(sk_c10,X1))) = X1,
inference(light_normalisation,[status(thm)],[c_43470,c_40221]) ).
cnf(c_43778,plain,
multiply(inverse(X0),multiply(X0,sk_c10)) = identity,
inference(superposition,[status(thm)],[c_2996,c_43730]) ).
cnf(c_43781,plain,
multiply(inverse(X0),multiply(X0,sk_c10)) = sk_c2,
inference(superposition,[status(thm)],[c_43403,c_43730]) ).
cnf(c_43794,plain,
multiply(X0,multiply(sk_c10,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_43730,c_38800]) ).
cnf(c_43797,plain,
sk_c2 = identity,
inference(light_normalisation,[status(thm)],[c_43778,c_43781]) ).
cnf(c_44318,plain,
inverse(sk_c6) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_39810,c_1054,c_2142,c_2364,c_2367,c_3844,c_4259,c_5830,c_10588,c_24337,c_40015,c_42008,c_43279]) ).
cnf(c_44333,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm)],[c_44318,c_38541]) ).
cnf(c_44341,plain,
inverse(sk_c7) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_39811,c_1051,c_2142,c_2364,c_2367,c_3844,c_4259,c_5830,c_10588,c_24337,c_40014,c_42009,c_43279]) ).
cnf(c_44361,plain,
inverse(sk_c5) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_39812,c_1048,c_2142,c_2364,c_2367,c_3844,c_4259,c_5830,c_24675,c_41593,c_42010,c_43279]) ).
cnf(c_44373,plain,
multiply(sk_c5,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_44361,c_38800]) ).
cnf(c_44376,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm)],[c_44361,c_101]) ).
cnf(c_44400,plain,
inverse(sk_c3) = sk_c11,
inference(global_subsumption_just,[status(thm)],[c_39814,c_2869,c_3844,c_41595,c_42012,c_43279]) ).
cnf(c_44407,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm)],[c_44400,c_43223]) ).
cnf(c_44410,plain,
multiply(sk_c3,sk_c11) = identity,
inference(superposition,[status(thm)],[c_44400,c_38541]) ).
cnf(c_44441,plain,
multiply(sk_c8,sk_c5) = sk_c2,
inference(light_normalisation,[status(thm)],[c_44376,c_43797]) ).
cnf(c_44442,plain,
( sk_c11 = sk_c10
| sk_c10 = sk_c2 ),
inference(demodulation,[status(thm)],[c_40377,c_44441]) ).
cnf(c_44928,plain,
( multiply(sk_c10,sk_c11) = sk_c10
| sk_c10 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_39786,c_40010,c_43391,c_43797,c_44407,c_44410]) ).
cnf(c_44935,plain,
( multiply(sk_c10,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| sk_c10 = sk_c2 ),
inference(superposition,[status(thm)],[c_44928,c_102]) ).
cnf(c_45020,plain,
( multiply(sk_c11,X0) = X0
| multiply(sk_c10,sk_c11) = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_1117,c_40010,c_44373]) ).
cnf(c_45047,plain,
( multiply(sk_c10,sk_c11) = sk_c10
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_45020,c_2996]) ).
cnf(c_45075,plain,
( multiply(sk_c11,X0) = X0
| sk_c10 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_1118,c_43369,c_40010,c_43797,c_44373]) ).
cnf(c_45102,plain,
( sk_c11 = identity
| sk_c10 = sk_c2 ),
inference(superposition,[status(thm)],[c_45075,c_2996]) ).
cnf(c_45614,plain,
multiply(multiply(X0,sk_c10),multiply(sk_c10,X1)) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_43157,c_43223,c_43281]) ).
cnf(c_45615,plain,
multiply(X0,multiply(sk_c10,multiply(sk_c10,X1))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_45614,c_102]) ).
cnf(c_45781,plain,
sk_c10 = sk_c2,
inference(global_subsumption_just,[status(thm)],[c_44935,c_104,c_101,c_105,c_578,c_842,c_843,c_856,c_880,c_887,c_888,c_889,c_1192,c_1814,c_3918,c_6587,c_9517,c_13513,c_13514,c_14217,c_14218,c_15884,c_30389,c_30392,c_39426,c_39458,c_39753,c_44442,c_45102]) ).
cnf(c_45941,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(X1,identity),
inference(superposition,[status(thm)],[c_101,c_43570]) ).
cnf(c_45958,plain,
multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
inference(superposition,[status(thm)],[c_1538,c_43570]) ).
cnf(c_46126,plain,
multiply(X0,inverse(multiply(X1,X0))) = multiply(inverse(X1),identity),
inference(superposition,[status(thm)],[c_2996,c_45958]) ).
cnf(c_46147,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(inverse(identity),X1),
inference(superposition,[status(thm)],[c_100,c_45958]) ).
cnf(c_46148,plain,
multiply(X0,multiply(inverse(identity),X1)) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[status(thm)],[c_101,c_45958]) ).
cnf(c_46382,plain,
multiply(X0,inverse(multiply(X1,X0))) = multiply(inverse(X1),sk_c10),
inference(light_normalisation,[status(thm)],[c_46126,c_43797,c_45781]) ).
cnf(c_46383,plain,
multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(demodulation,[status(thm)],[c_46382,c_43223]) ).
cnf(c_46400,plain,
( multiply(sk_c8,inverse(sk_c11)) = inverse(sk_c5)
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_63,c_46383]) ).
cnf(c_46403,plain,
( multiply(sk_c10,inverse(sk_c11)) = inverse(sk_c8)
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_65,c_46383]) ).
cnf(c_46408,plain,
multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = inverse(multiply(X1,X2)),
inference(superposition,[status(thm)],[c_102,c_46383]) ).
cnf(c_46498,plain,
multiply(X0,multiply(sk_c10,inverse(X1))) = multiply(X0,inverse(multiply(X1,sk_c10))),
inference(superposition,[status(thm)],[c_46383,c_45615]) ).
cnf(c_46589,plain,
( multiply(sk_c8,inverse(sk_c11)) = sk_c8
| inverse(sk_c1) = sk_c11 ),
inference(light_normalisation,[status(thm)],[c_46400,c_44361]) ).
cnf(c_46607,plain,
( multiply(sk_c5,sk_c8) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_46589,c_39801]) ).
cnf(c_46612,plain,
inverse(sk_c1) = sk_c11,
inference(global_subsumption_just,[status(thm)],[c_46403,c_104,c_105,c_578,c_842,c_843,c_856,c_880,c_887,c_1192,c_1814,c_3844,c_4711,c_6551,c_7656,c_14218,c_27568,c_39458,c_40010,c_43279,c_46607]) ).
cnf(c_46665,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(X1,sk_c10),
inference(light_normalisation,[status(thm)],[c_45941,c_43797,c_45781,c_46147]) ).
cnf(c_46666,plain,
multiply(X0,sk_c10) = X0,
inference(demodulation,[status(thm)],[c_46665,c_38800]) ).
cnf(c_46668,plain,
( multiply(sk_c10,sk_c11) = sk_c10
| sk_c11 = sk_c8 ),
inference(demodulation,[status(thm)],[c_40045,c_46666]) ).
cnf(c_46682,plain,
multiply(inverse(multiply(X0,X1)),X0) = multiply(inverse(X1),sk_c10),
inference(superposition,[status(thm)],[c_46666,c_41525]) ).
cnf(c_46685,plain,
( multiply(sk_c10,sk_c11) = sk_c10
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_46666,c_45020]) ).
cnf(c_46700,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(demodulation,[status(thm)],[c_46682,c_46666]) ).
cnf(c_46713,plain,
multiply(inverse(X0),X0) = inverse(sk_c10),
inference(superposition,[status(thm)],[c_46666,c_46700]) ).
cnf(c_46728,plain,
multiply(inverse(inverse(X0)),X1) = inverse(inverse(multiply(X0,X1))),
inference(superposition,[status(thm)],[c_46383,c_46700]) ).
cnf(c_46741,plain,
multiply(X0,inverse(inverse(X1))) = inverse(inverse(multiply(X0,X1))),
inference(superposition,[status(thm)],[c_46700,c_46383]) ).
cnf(c_46746,plain,
multiply(inverse(X0),X0) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_46700,c_45958]) ).
cnf(c_46749,plain,
multiply(X0,inverse(X0)) = inverse(sk_c10),
inference(light_normalisation,[status(thm)],[c_46746,c_46713]) ).
cnf(c_46750,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,inverse(inverse(X1))),
inference(light_normalisation,[status(thm)],[c_46728,c_46741]) ).
cnf(c_46888,plain,
( multiply(inverse(X0),sk_c10) != sk_c11
| inverse(X0) != sk_c10
| sk_c11 != sk_c10
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2595,c_40221,c_43281,c_43391,c_46666,c_46749]) ).
cnf(c_46889,plain,
( inverse(X0) != sk_c11
| inverse(X0) != sk_c10
| sk_c11 != sk_c10
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_46888,c_46666]) ).
cnf(c_46900,plain,
( inverse(sk_c10) != sk_c10
| sk_c11 != sk_c10
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_43391,c_46889]) ).
cnf(c_46901,plain,
( inverse(identity) != sk_c10
| sk_c11 != sk_c10
| sk_c11 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_38544,c_46889]) ).
cnf(c_46903,plain,
( sk_c11 != sk_c10
| ~ sP2_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_46900,c_43391]) ).
cnf(c_46904,plain,
( sk_c11 != sk_c10
| sk_c11 != identity
| ~ sP2_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_46901,c_40221]) ).
cnf(c_46908,plain,
multiply(X0,inverse(inverse(X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_46148,c_40221,c_43794,c_46750]) ).
cnf(c_46920,plain,
multiply(X0,inverse(sk_c6)) = multiply(X0,sk_c7),
inference(superposition,[status(thm)],[c_44341,c_46908]) ).
cnf(c_46924,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(inverse(inverse(X1))),
inference(superposition,[status(thm)],[c_46908,c_46700]) ).
cnf(c_46928,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_46908,c_100]) ).
cnf(c_46964,plain,
multiply(inverse(multiply(X0,X1)),X0) = multiply(identity,inverse(X1)),
inference(demodulation,[status(thm)],[c_46924,c_46928]) ).
cnf(c_46994,plain,
( sk_c11 != identity
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_46904,c_105,c_3844,c_6551,c_43279]) ).
cnf(c_47006,plain,
inverse(multiply(inverse(multiply(X0,X1)),X0)) = multiply(X1,inverse(identity)),
inference(superposition,[status(thm)],[c_101,c_46408]) ).
cnf(c_47031,plain,
multiply(X0,inverse(multiply(X1,identity))) = inverse(multiply(X1,inverse(X0))),
inference(superposition,[status(thm)],[c_101,c_46408]) ).
cnf(c_47181,plain,
multiply(sk_c6,sk_c8) = sk_c10,
inference(light_normalisation,[status(thm)],[c_44333,c_43797,c_45781]) ).
cnf(c_47213,plain,
inverse(multiply(sk_c10,inverse(X0))) = multiply(X0,sk_c10),
inference(light_normalisation,[status(thm)],[c_47006,c_40221,c_43797,c_45781,c_46964]) ).
cnf(c_47214,plain,
inverse(multiply(sk_c10,inverse(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_47213,c_46666]) ).
cnf(c_47222,plain,
inverse(multiply(sk_c10,sk_c8)) = sk_c6,
inference(superposition,[status(thm)],[c_44318,c_47214]) ).
cnf(c_47223,plain,
inverse(multiply(sk_c10,sk_c11)) = sk_c1,
inference(superposition,[status(thm)],[c_46612,c_47214]) ).
cnf(c_47252,plain,
multiply(X0,multiply(sk_c10,inverse(X1))) = inverse(multiply(X1,inverse(X0))),
inference(light_normalisation,[status(thm)],[c_47031,c_43797,c_45781,c_46498]) ).
cnf(c_47266,plain,
multiply(X0,multiply(sk_c10,sk_c8)) = inverse(multiply(sk_c6,inverse(X0))),
inference(superposition,[status(thm)],[c_44318,c_47252]) ).
cnf(c_47391,plain,
multiply(X0,multiply(sk_c10,sk_c8)) = multiply(X0,inverse(sk_c6)),
inference(superposition,[status(thm)],[c_47222,c_46908]) ).
cnf(c_47433,plain,
( multiply(sk_c10,sk_c11) != sk_c10
| sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_38529,c_40010]) ).
cnf(c_47580,plain,
multiply(X0,sk_c8) = multiply(X0,sk_c7),
inference(light_normalisation,[status(thm)],[c_46920,c_44318]) ).
cnf(c_47927,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_46668,c_104,c_101,c_105,c_578,c_842,c_843,c_856,c_880,c_887,c_888,c_889,c_1192,c_1814,c_3918,c_6587,c_9517,c_13513,c_13514,c_14218,c_15884,c_30389,c_30392,c_39426,c_39458,c_39753,c_45047,c_46685,c_46994]) ).
cnf(c_47929,plain,
( sk_c10 != sk_c10
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_47433,c_47927]) ).
cnf(c_47930,plain,
inverse(sk_c10) = sk_c1,
inference(demodulation,[status(thm)],[c_47223,c_47927]) ).
cnf(c_47936,plain,
sP2_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_47929]) ).
cnf(c_47939,plain,
sk_c11 != sk_c10,
inference(backward_subsumption_resolution,[status(thm)],[c_46903,c_47936]) ).
cnf(c_48507,plain,
inverse(multiply(sk_c6,inverse(X0))) = multiply(X0,sk_c8),
inference(light_normalisation,[status(thm)],[c_47266,c_46920,c_47391,c_47580]) ).
cnf(c_48516,plain,
inverse(multiply(sk_c6,sk_c8)) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm)],[c_44318,c_48507]) ).
cnf(c_48566,plain,
sk_c1 = sk_c10,
inference(light_normalisation,[status(thm)],[c_48516,c_47181,c_47930]) ).
cnf(c_48568,plain,
inverse(sk_c10) = sk_c11,
inference(demodulation,[status(thm)],[c_46612,c_48566]) ).
cnf(c_48575,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm)],[c_48568,c_43391]) ).
cnf(c_48576,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_48575,c_47939]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : GRP260-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.09 % Command : run_iprover %s %d THM
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri May 3 00:02:39 EDT 2024
% 0.13/0.28 % CPUTime :
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 38.18/6.05 % SZS status Started for theBenchmark.p
% 38.18/6.05 % SZS status Unsatisfiable for theBenchmark.p
% 38.18/6.05
% 38.18/6.05 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 38.18/6.05
% 38.18/6.05 ------ iProver source info
% 38.18/6.05
% 38.18/6.05 git: date: 2024-05-02 19:28:25 +0000
% 38.18/6.05 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 38.18/6.05 git: non_committed_changes: false
% 38.18/6.05
% 38.18/6.05 ------ Parsing...successful
% 38.18/6.05
% 38.18/6.05
% 38.18/6.05
% 38.18/6.05 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 38.18/6.05
% 38.18/6.05 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 38.18/6.05
% 38.18/6.05 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 38.18/6.05 ------ Proving...
% 38.18/6.05 ------ Problem Properties
% 38.18/6.05
% 38.18/6.05
% 38.18/6.05 clauses 57
% 38.18/6.05 conjectures 54
% 38.18/6.05 EPR 0
% 38.18/6.05 Horn 6
% 38.18/6.05 unary 3
% 38.18/6.05 binary 50
% 38.18/6.05 lits 118
% 38.18/6.05 lits eq 112
% 38.18/6.05 fd_pure 0
% 38.18/6.05 fd_pseudo 0
% 38.18/6.05 fd_cond 0
% 38.18/6.05 fd_pseudo_cond 0
% 38.18/6.05 AC symbols 0
% 38.18/6.05
% 38.18/6.05 ------ Input Options Time Limit: Unbounded
% 38.18/6.05
% 38.18/6.05
% 38.18/6.05 ------
% 38.18/6.05 Current options:
% 38.18/6.05 ------
% 38.18/6.05
% 38.18/6.05
% 38.18/6.05
% 38.18/6.05
% 38.18/6.05 ------ Proving...
% 38.18/6.05
% 38.18/6.05
% 38.18/6.05 % SZS status Unsatisfiable for theBenchmark.p
% 38.18/6.05
% 38.18/6.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 38.18/6.05
% 38.18/6.05
%------------------------------------------------------------------------------