TSTP Solution File: GRP386-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP386-1 : 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 : Thu Aug 31 00:59:39 EDT 2023
% Result : Unsatisfiable 20.43s 3.56s
% Output : CNFRefutation 20.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 30
% Syntax : Number of clauses : 244 ( 38 unt; 102 nHn; 217 RR)
% Number of literals : 599 ( 545 equ; 262 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 120 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_92,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_99,negated_conjecture,
( multiply(X0,X1) != sk_c10
| multiply(X2,X1) != X3
| multiply(X1,sk_c9) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| multiply(X5,sk_c10) != sk_c9
| multiply(X6,sk_c9) != sk_c8
| multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X3) != X1
| inverse(X4) != sk_c10
| inverse(X5) != sk_c10
| inverse(X6) != sk_c9
| inverse(sk_c10) != sk_c9 ),
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_c10
| multiply(inverse(X1),sk_c9) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c9) != sk_c8
| multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| inverse(X0) != multiply(X0,inverse(X1))
| inverse(X2) != sk_c10
| inverse(X3) != sk_c10
| inverse(X4) != sk_c9
| inverse(sk_c10) != sk_c9 ),
inference(unflattening,[status(thm)],[c_99]) ).
cnf(c_568,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ 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_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_103]) ).
cnf(c_570,negated_conjecture,
( multiply(X0,sk_c9) != sk_c10
| 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,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| inverse(X1) != multiply(X1,inverse(X0))
| inverse(multiply(X1,inverse(X0))) != inverse(X0)
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_103]) ).
cnf(c_572,negated_conjecture,
( multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| inverse(sk_c10) != sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_103]) ).
cnf(c_573,plain,
X0 = X0,
theory(equality) ).
cnf(c_574,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_575,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_885,plain,
( multiply(sk_c10,sk_c2) = identity
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_50,c_101]) ).
cnf(c_1109,plain,
( inverse(sk_c2) != sk_c10
| ~ sP0_iProver_split
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(superposition,[status(thm)],[c_69,c_568]) ).
cnf(c_1111,plain,
( inverse(sk_c2) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_79,c_568]) ).
cnf(c_1114,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_101,c_568]) ).
cnf(c_1140,plain,
( multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| multiply(sk_c1,sk_c9) = sk_c10 ),
inference(superposition,[status(thm)],[c_89,c_102]) ).
cnf(c_1143,plain,
( multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_79,c_102]) ).
cnf(c_1153,plain,
( multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c10,X0)
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_83,c_102]) ).
cnf(c_1154,plain,
( multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c10,X0)
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_53,c_102]) ).
cnf(c_1179,plain,
( multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_90,c_102]) ).
cnf(c_1181,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_1349,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1350,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1349]) ).
cnf(c_1351,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_1356,plain,
( inverse(sk_c10) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_1350]) ).
cnf(c_1359,plain,
( multiply(identity,sk_c9) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_1350]) ).
cnf(c_1360,plain,
multiply(identity,sk_c9) = sk_c9,
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_1362,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1366,plain,
( X0 != inverse(sk_c10)
| sk_c9 != inverse(sk_c10)
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1349]) ).
cnf(c_1367,plain,
( sk_c10 != inverse(sk_c10)
| sk_c9 != inverse(sk_c10)
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1366]) ).
cnf(c_1398,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1181,c_100]) ).
cnf(c_1412,plain,
( multiply(inverse(sk_c2),sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_79,c_1398]) ).
cnf(c_1413,plain,
( multiply(inverse(sk_c2),sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_49,c_1398]) ).
cnf(c_1417,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_81,c_1398]) ).
cnf(c_1427,plain,
( multiply(inverse(sk_c7),sk_c10) = sk_c9
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_55,c_1398]) ).
cnf(c_1441,plain,
( multiply(inverse(sk_c10),sk_c9) = sk_c8
| inverse(sk_c3) = sk_c9 ),
inference(superposition,[status(thm)],[c_72,c_1398]) ).
cnf(c_1449,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_100,c_1398]) ).
cnf(c_1450,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_1398]) ).
cnf(c_1462,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1398,c_1398]) ).
cnf(c_1580,plain,
( X0 != inverse(sk_c10)
| sk_c9 != inverse(sk_c10)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1362]) ).
cnf(c_1581,plain,
( sk_c10 != inverse(sk_c10)
| sk_c9 != inverse(sk_c10)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1580]) ).
cnf(c_1586,plain,
( X0 != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1362]) ).
cnf(c_1590,plain,
( inverse(X0) != X1
| sk_c10 != X1
| inverse(X0) = sk_c10 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1597,plain,
( inverse(sk_c10) != X0
| X1 != X0
| X1 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1636,plain,
( multiply(identity,sk_c9) != X0
| X1 != X0
| X1 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1652,plain,
( inverse(sk_c10) != sk_c9
| sk_c10 != sk_c9
| inverse(sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1590]) ).
cnf(c_1661,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1672,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1450,c_1462]) ).
cnf(c_1680,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1672,c_1449]) ).
cnf(c_1716,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_569]) ).
cnf(c_1717,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_101,c_569]) ).
cnf(c_1719,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1716,c_1680]) ).
cnf(c_1836,plain,
( inverse(sk_c1) != sk_c10
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_90,c_570]) ).
cnf(c_1837,plain,
( inverse(identity) != sk_c10
| sk_c10 != sk_c9
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_570]) ).
cnf(c_1840,plain,
( sk_c10 != sk_c9
| sk_c10 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1837,c_1680]) ).
cnf(c_1914,plain,
( inverse(sk_c10) != sk_c9
| X0 != sk_c9
| X0 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_1597]) ).
cnf(c_1938,plain,
( multiply(identity,sk_c9) != X0
| X1 != X0
| multiply(identity,sk_c9) = X1 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1939,plain,
( multiply(identity,sk_c9) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| X2 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_1636]) ).
cnf(c_1962,plain,
( multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c10) != sk_c9
| inverse(sk_c3) = sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_62,c_572]) ).
cnf(c_2022,plain,
( inverse(multiply(X0,identity)) != identity
| multiply(X0,inverse(identity)) != inverse(X0)
| multiply(inverse(identity),sk_c9) != sk_c10
| multiply(identity,inverse(identity)) != sk_c10
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_1680,c_571]) ).
cnf(c_2023,plain,
( multiply(identity,sk_c9) != sk_c10
| multiply(identity,identity) != sk_c10
| inverse(X0) != X0
| inverse(X0) != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_2022,c_1672,c_1680]) ).
cnf(c_2106,plain,
( multiply(identity,sk_c9) != sk_c10
| multiply(identity,identity) != sk_c10
| inverse(sk_c10) != sk_c10
| inverse(sk_c10) != identity
| ~ sP3_iProver_split ),
inference(instantiation,[status(thm)],[c_2023]) ).
cnf(c_2126,plain,
multiply(identity,identity) = identity,
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_2131,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_2202,plain,
( multiply(sk_c10,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_80,c_1412]) ).
cnf(c_2233,plain,
( multiply(identity,sk_c9) != sk_c9
| inverse(sk_c10) != sk_c9
| multiply(identity,sk_c9) = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_1914]) ).
cnf(c_2247,plain,
( inverse(X0) != X1
| sk_c10 != X1
| sk_c10 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_2249,plain,
( inverse(sk_c10) != sk_c9
| X0 != sk_c9
| inverse(sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_1661]) ).
cnf(c_2288,plain,
( multiply(sk_c10,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_50,c_1413]) ).
cnf(c_2336,plain,
( multiply(sk_c9,sk_c2) = multiply(sk_c2,identity)
| multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_885,c_1140]) ).
cnf(c_2394,plain,
( multiply(sk_c9,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_82,c_1417]) ).
cnf(c_2466,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1462,c_101]) ).
cnf(c_2469,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1462,c_1398]) ).
cnf(c_2470,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_1462,c_1672]) ).
cnf(c_2471,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2470,c_1672]) ).
cnf(c_2514,plain,
inverse(inverse(sk_c10)) = sk_c10,
inference(instantiation,[status(thm)],[c_2471]) ).
cnf(c_2772,plain,
( inverse(sk_c10) = sk_c9
| inverse(sk_c7) = sk_c4 ),
inference(superposition,[status(thm)],[c_54,c_2471]) ).
cnf(c_2774,plain,
( inverse(sk_c10) = sk_c9
| inverse(sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_2471]) ).
cnf(c_2818,plain,
( multiply(sk_c2,sk_c10) = identity
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_80,c_2466]) ).
cnf(c_2819,plain,
( multiply(sk_c2,sk_c10) = identity
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_50,c_2466]) ).
cnf(c_2822,plain,
( multiply(sk_c4,sk_c7) = identity
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_84,c_2466]) ).
cnf(c_2823,plain,
( multiply(sk_c4,sk_c7) = identity
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_54,c_2466]) ).
cnf(c_3284,plain,
( inverse(sk_c10) = sk_c9
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2774,c_57]) ).
cnf(c_3319,plain,
( multiply(sk_c10,sk_c9) = identity
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3284,c_2466]) ).
cnf(c_3406,plain,
( multiply(sk_c2,multiply(sk_c10,X0)) = X0
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_80,c_2469]) ).
cnf(c_3410,plain,
( multiply(sk_c4,multiply(sk_c7,X0)) = X0
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_84,c_2469]) ).
cnf(c_3584,plain,
( inverse(sk_c1) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2818,c_79]) ).
cnf(c_3604,plain,
( inverse(sk_c10) = sk_c1
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3584,c_2471]) ).
cnf(c_3632,plain,
( inverse(sk_c10) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2819,c_49]) ).
cnf(c_3667,plain,
( multiply(sk_c10,sk_c9) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3632,c_2466]) ).
cnf(c_3728,plain,
( multiply(identity,sk_c9) != sk_c9
| X0 != sk_c9
| multiply(identity,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_1938]) ).
cnf(c_3729,plain,
( multiply(identity,sk_c9) != sk_c9
| sk_c10 != sk_c9
| multiply(identity,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_3728]) ).
cnf(c_3834,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_4049,plain,
( inverse(sk_c10) != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| inverse(sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1586]) ).
cnf(c_4064,plain,
( sk_c9 = sk_c1
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3604,c_3632]) ).
cnf(c_4092,plain,
( multiply(sk_c9,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_4064,c_90]) ).
cnf(c_4164,plain,
( inverse(sk_c1) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_2822,c_83]) ).
cnf(c_4183,plain,
( inverse(sk_c10) = sk_c1
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_4164,c_2471]) ).
cnf(c_4269,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_2823,c_53]) ).
cnf(c_4953,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_2772,c_1427]) ).
cnf(c_5487,plain,
( multiply(identity,sk_c9) != inverse(sk_c10)
| X0 != inverse(sk_c10)
| multiply(identity,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_1938]) ).
cnf(c_5490,plain,
( multiply(identity,sk_c9) != inverse(sk_c10)
| sk_c10 != inverse(sk_c10)
| multiply(identity,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_5487]) ).
cnf(c_5730,plain,
( sk_c10 = identity
| sk_c9 = sk_c1 ),
inference(superposition,[status(thm)],[c_4183,c_4269]) ).
cnf(c_5766,plain,
( multiply(sk_c9,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_5730,c_90]) ).
cnf(c_5950,plain,
( multiply(sk_c2,sk_c10) != X0
| X1 != X0
| multiply(sk_c2,sk_c10) = X1 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_6998,plain,
( inverse(inverse(sk_c10)) != sk_c9
| ~ sP1_iProver_split
| inverse(sk_c3) = sk_c9 ),
inference(superposition,[status(thm)],[c_1441,c_569]) ).
cnf(c_8317,plain,
( inverse(sk_c10) != sk_c10
| sk_c10 != identity
| ~ sP2_iProver_split
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3319,c_570]) ).
cnf(c_8351,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_3834]) ).
cnf(c_8352,plain,
( sk_c10 != identity
| identity != identity
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_8351]) ).
cnf(c_8586,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1111,c_1114,c_2514,c_3584]) ).
cnf(c_9135,plain,
( inverse(sk_c10) != sk_c10
| sk_c10 != identity
| ~ sP2_iProver_split
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3667,c_570]) ).
cnf(c_10646,plain,
( ~ sP2_iProver_split
| inverse(sk_c2) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1836,c_80,c_1836]) ).
cnf(c_10795,plain,
( multiply(sk_c9,X0) = X0
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_3406,c_1143]) ).
cnf(c_14813,plain,
( multiply(sk_c2,sk_c10) != sk_c9
| multiply(identity,sk_c9) != sk_c9
| multiply(identity,sk_c9) = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_3728]) ).
cnf(c_18655,plain,
( multiply(sk_c10,X0) = X0
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_1153,c_3410]) ).
cnf(c_18881,plain,
( multiply(sk_c2,sk_c10) != sk_c9
| X0 != sk_c9
| multiply(sk_c2,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_5950]) ).
cnf(c_18882,plain,
( multiply(sk_c2,sk_c10) != sk_c9
| sk_c10 != sk_c9
| multiply(sk_c2,sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_18881]) ).
cnf(c_19486,plain,
( ~ sP0_iProver_split
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1109,c_70,c_1109]) ).
cnf(c_19563,plain,
( sk_c9 != identity
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1114,c_1114,c_2514]) ).
cnf(c_19591,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c4,sk_c10)
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_55,c_1154]) ).
cnf(c_19795,plain,
( sk_c9 != sk_c9
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_1717,c_2471]) ).
cnf(c_19796,plain,
( sk_c8 != identity
| ~ sP1_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_19795]) ).
cnf(c_23355,plain,
( multiply(identity,sk_c9) != multiply(sk_c2,sk_c10)
| X0 != multiply(sk_c2,sk_c10)
| X0 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_1939]) ).
cnf(c_25506,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_25633,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_25506,c_100]) ).
cnf(c_25684,plain,
( multiply(inverse(sk_c1),sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_90,c_25633]) ).
cnf(c_26974,plain,
( inverse(inverse(sk_c1)) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_25684,c_568]) ).
cnf(c_28872,plain,
( multiply(sk_c10,sk_c9) = sk_c9
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_4953,c_19591]) ).
cnf(c_28911,plain,
( sk_c10 != sk_c9
| ~ sP1_iProver_split
| inverse(sk_c3) = sk_c9 ),
inference(demodulation,[status(thm)],[c_6998,c_2471]) ).
cnf(c_35069,plain,
( multiply(sk_c10,sk_c8) = multiply(sk_c1,sk_c10)
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_60,c_1179]) ).
cnf(c_35168,plain,
( multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c1) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_35069,c_568]) ).
cnf(c_36684,plain,
( inverse(sk_c1) = sk_c10
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_10795,c_2394]) ).
cnf(c_38372,plain,
( inverse(sk_c10) = sk_c1
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_36684,c_2471]) ).
cnf(c_41612,plain,
( inverse(sk_c10) != sk_c9
| identity != sk_c9
| inverse(sk_c10) = identity ),
inference(instantiation,[status(thm)],[c_2249]) ).
cnf(c_41864,plain,
( sk_c9 != X0
| identity != X0
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_1349]) ).
cnf(c_41867,plain,
( sk_c9 != sk_c10
| identity != sk_c10
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_41864]) ).
cnf(c_46376,plain,
( ~ sP0_iProver_split
| inverse(sk_c2) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_26974,c_8586,c_19486,c_35168]) ).
cnf(c_58299,plain,
( inverse(sk_c1) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_18655,c_2202]) ).
cnf(c_58901,plain,
( inverse(sk_c10) = sk_c1
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_58299,c_2471]) ).
cnf(c_67672,plain,
( inverse(sk_c10) != identity
| sk_c10 != identity
| sk_c10 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_2247]) ).
cnf(c_67674,plain,
( inverse(sk_c10) != identity
| X0 != identity
| inverse(sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_1661]) ).
cnf(c_67675,plain,
( inverse(sk_c10) != identity
| sk_c10 != identity
| inverse(sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_67674]) ).
cnf(c_67802,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_28872,c_2288]) ).
cnf(c_68382,plain,
( sk_c10 = sk_c9
| sk_c9 = sk_c1 ),
inference(superposition,[status(thm)],[c_67802,c_58901]) ).
cnf(c_68464,plain,
( multiply(sk_c10,sk_c9) = identity
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_67802,c_2466]) ).
cnf(c_69159,plain,
( multiply(sk_c9,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_68382,c_90]) ).
cnf(c_69449,plain,
( multiply(identity,sk_c9) != multiply(sk_c2,sk_c10)
| inverse(X0) != multiply(sk_c2,sk_c10)
| inverse(X0) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_23355]) ).
cnf(c_69454,plain,
( multiply(identity,sk_c9) != multiply(sk_c2,sk_c10)
| inverse(sk_c10) != multiply(sk_c2,sk_c10)
| inverse(sk_c10) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_69449]) ).
cnf(c_70163,plain,
( inverse(sk_c10) != sk_c10
| sk_c10 != identity
| ~ sP2_iProver_split
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_68464,c_570]) ).
cnf(c_72306,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_72352,plain,
( inverse(identity) != X0
| X1 != X0
| X1 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_72354,plain,
( X0 != identity
| inverse(X0) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_72356,plain,
( sk_c10 != identity
| inverse(sk_c10) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_72354]) ).
cnf(c_72393,plain,
( inverse(sk_c3) != sk_c9
| X0 != sk_c9
| inverse(sk_c3) = X0 ),
inference(instantiation,[status(thm)],[c_72306]) ).
cnf(c_72459,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_72687,plain,
( inverse(identity) != identity
| X0 != identity
| X0 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_72352]) ).
cnf(c_74758,plain,
( sk_c9 != X0
| identity != X0
| identity = sk_c9 ),
inference(instantiation,[status(thm)],[c_72459]) ).
cnf(c_74762,plain,
( inverse(identity) != identity
| identity != identity
| identity = inverse(identity) ),
inference(instantiation,[status(thm)],[c_72687]) ).
cnf(c_75030,plain,
( inverse(sk_c3) != sk_c9
| identity != sk_c9
| inverse(sk_c3) = identity ),
inference(instantiation,[status(thm)],[c_72393]) ).
cnf(c_75034,plain,
( inverse(X0) != X1
| identity != X1
| inverse(X0) = identity ),
inference(instantiation,[status(thm)],[c_72306]) ).
cnf(c_76490,plain,
( multiply(sk_c2,sk_c10) != X0
| inverse(X1) != X0
| inverse(X1) = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_72306]) ).
cnf(c_76492,plain,
( multiply(sk_c2,sk_c10) != sk_c10
| inverse(sk_c10) != sk_c10
| inverse(sk_c10) = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_76490]) ).
cnf(c_77350,plain,
( sk_c9 != identity
| identity != identity
| identity = sk_c9 ),
inference(instantiation,[status(thm)],[c_74758]) ).
cnf(c_81182,plain,
( inverse(X0) != inverse(identity)
| identity != inverse(identity)
| inverse(X0) = identity ),
inference(instantiation,[status(thm)],[c_75034]) ).
cnf(c_81185,plain,
( inverse(sk_c10) != inverse(identity)
| identity != inverse(identity)
| inverse(sk_c10) = identity ),
inference(instantiation,[status(thm)],[c_81182]) ).
cnf(c_82275,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_87919,plain,
( multiply(identity,X0) != X0
| X1 != X0
| multiply(identity,X0) = X1 ),
inference(instantiation,[status(thm)],[c_82275]) ).
cnf(c_95311,plain,
( multiply(identity,identity) != identity
| X0 != identity
| multiply(identity,identity) = X0 ),
inference(instantiation,[status(thm)],[c_87919]) ).
cnf(c_95314,plain,
( multiply(identity,identity) != identity
| sk_c10 != identity
| multiply(identity,identity) = sk_c10 ),
inference(instantiation,[status(thm)],[c_95311]) ).
cnf(c_98248,plain,
( ~ sP2_iProver_split
| sk_c10 != identity ),
inference(global_subsumption_just,[status(thm)],[c_8317,c_1680,c_1840,c_2131,c_67675,c_70163,c_72356,c_74762,c_81185]) ).
cnf(c_98249,plain,
( sk_c10 != identity
| ~ sP2_iProver_split ),
inference(renaming,[status(thm)],[c_98248]) ).
cnf(c_98256,plain,
inverse(sk_c10) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_2336,c_49,c_1351,c_1359,c_1360,c_1680,c_2131,c_4049,c_4269,c_14813,c_18882,c_67675,c_67802,c_69454,c_72356,c_74762,c_76492,c_81185]) ).
cnf(c_98316,plain,
( sk_c9 = sk_c8
| sk_c9 = sk_c1 ),
inference(demodulation,[status(thm)],[c_38372,c_98256]) ).
cnf(c_98443,plain,
( multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| sk_c9 != sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_572,c_98256]) ).
cnf(c_98655,plain,
( multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_98443]) ).
cnf(c_98683,plain,
inverse(sk_c9) = sk_c10,
inference(superposition,[status(thm)],[c_98256,c_2471]) ).
cnf(c_98684,plain,
multiply(sk_c9,multiply(sk_c10,X0)) = X0,
inference(superposition,[status(thm)],[c_98256,c_1398]) ).
cnf(c_98685,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm)],[c_98256,c_101]) ).
cnf(c_99294,plain,
( multiply(sk_c9,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c10
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_98316,c_90]) ).
cnf(c_99738,plain,
( inverse(sk_c2) = sk_c10
| multiply(sk_c9,sk_c9) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_99294,c_70,c_60,c_49,c_572,c_1351,c_1359,c_1360,c_1652,c_1680,c_1719,c_2106,c_2126,c_2131,c_3729,c_4049,c_4092,c_4269,c_5766,c_10646,c_14813,c_18882,c_41612,c_46376,c_67675,c_67802,c_69159,c_69454,c_72356,c_74762,c_76492,c_77350,c_81185,c_95314,c_99294]) ).
cnf(c_99739,plain,
( multiply(sk_c9,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c10 ),
inference(renaming,[status(thm)],[c_99738]) ).
cnf(c_99748,plain,
( multiply(sk_c9,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_99739,c_102]) ).
cnf(c_101440,plain,
( sk_c10 != identity
| sk_c9 = identity ),
inference(global_subsumption_just,[status(thm)],[c_9135,c_49,c_1351,c_1356,c_1359,c_1360,c_1367,c_1680,c_2131,c_4049,c_4269,c_8352,c_14813,c_18882,c_41867,c_67675,c_67672,c_67802,c_69454,c_72356,c_74762,c_76492,c_81185]) ).
cnf(c_102229,plain,
( multiply(sk_c10,sk_c8) = multiply(sk_c9,sk_c10)
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_60,c_99748]) ).
cnf(c_102288,plain,
( multiply(sk_c10,sk_c8) = identity
| inverse(sk_c2) = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_102229,c_98685]) ).
cnf(c_102366,plain,
( inverse(sk_c2) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_102288,c_70]) ).
cnf(c_102421,plain,
( inverse(sk_c10) = sk_c2
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_102366,c_2471]) ).
cnf(c_102424,plain,
( sk_c9 = sk_c2
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_102421,c_98256]) ).
cnf(c_102483,plain,
( multiply(sk_c9,sk_c10) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_102424,c_89]) ).
cnf(c_102484,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c9,sk_c10) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_102424,c_69]) ).
cnf(c_102485,plain,
( multiply(sk_c9,sk_c10) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_102424,c_59]) ).
cnf(c_102489,plain,
( multiply(sk_c9,sk_c8) = sk_c10
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_102485,c_98685]) ).
cnf(c_102492,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_102484,c_98685]) ).
cnf(c_102495,plain,
( multiply(sk_c1,sk_c9) = sk_c10
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_102483,c_98685]) ).
cnf(c_103921,plain,
( multiply(sk_c9,sk_c9) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_102492,c_98684]) ).
cnf(c_103957,plain,
( multiply(sk_c9,sk_c9) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_4064,c_102495]) ).
cnf(c_111640,plain,
( sk_c10 != identity
| sk_c10 = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_70163,c_49,c_1351,c_1356,c_1359,c_1360,c_1581,c_1680,c_2131,c_4049,c_4269,c_14813,c_18882,c_67675,c_67672,c_67802,c_69454,c_72356,c_74762,c_76492,c_81185]) ).
cnf(c_118202,plain,
( sk_c10 = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_103957,c_103921]) ).
cnf(c_118922,plain,
( multiply(sk_c9,sk_c10) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_118202,c_102489]) ).
cnf(c_118981,plain,
( sk_c10 = identity
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_118922,c_98685]) ).
cnf(c_118999,plain,
sk_c9 = identity,
inference(global_subsumption_just,[status(thm)],[c_118981,c_101440,c_118981]) ).
cnf(c_119133,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm)],[c_98683,c_118999]) ).
cnf(c_119210,plain,
( sk_c10 != identity
| ~ sP1_iProver_split
| inverse(sk_c3) = identity ),
inference(demodulation,[status(thm)],[c_28911,c_118999]) ).
cnf(c_119290,plain,
( multiply(sk_c10,sk_c8) = identity
| multiply(sk_c3,identity) = sk_c8 ),
inference(demodulation,[status(thm)],[c_71,c_118999]) ).
cnf(c_119300,plain,
( multiply(sk_c1,identity) = sk_c10
| inverse(sk_c3) = identity ),
inference(demodulation,[status(thm)],[c_92,c_118999]) ).
cnf(c_119316,plain,
sk_c10 = identity,
inference(light_normalisation,[status(thm)],[c_119133,c_1680]) ).
cnf(c_119490,plain,
( ~ sP1_iProver_split
| inverse(sk_c3) = identity ),
inference(forward_subsumption_resolution,[status(thm)],[c_119210,c_119316]) ).
cnf(c_119817,plain,
~ sP2_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_98249,c_119316]) ).
cnf(c_120266,plain,
inverse(sk_c3) = identity,
inference(global_subsumption_just,[status(thm)],[c_119300,c_72,c_49,c_1114,c_1351,c_1359,c_1360,c_1680,c_1962,c_2106,c_2126,c_2131,c_2514,c_3729,c_4049,c_4269,c_14813,c_18882,c_41612,c_67675,c_67802,c_69454,c_72356,c_74762,c_75030,c_76492,c_77350,c_81185,c_95314,c_101440,c_111640,c_118981,c_119817,c_119316,c_119490]) ).
cnf(c_120270,plain,
inverse(identity) = sk_c3,
inference(superposition,[status(thm)],[c_120266,c_2471]) ).
cnf(c_120273,plain,
sk_c3 = identity,
inference(light_normalisation,[status(thm)],[c_120270,c_1680]) ).
cnf(c_120477,plain,
( multiply(identity,sk_c8) = identity
| multiply(identity,identity) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_119290,c_119316,c_120273]) ).
cnf(c_120478,plain,
sk_c8 = identity,
inference(demodulation,[status(thm)],[c_120477,c_100]) ).
cnf(c_120480,plain,
( identity != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_19796,c_120478]) ).
cnf(c_120481,plain,
~ sP1_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_120480]) ).
cnf(c_132620,plain,
( multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_98655,c_572,c_1360,c_2106,c_2126,c_2131,c_2233,c_5490,c_19563,c_41612,c_67675,c_67672,c_77350,c_95314,c_98256,c_118999,c_119817,c_119316,c_120481]) ).
cnf(c_132622,plain,
multiply(identity,identity) != identity,
inference(light_normalisation,[status(thm)],[c_132620,c_118999,c_119316,c_120478]) ).
cnf(c_132623,plain,
identity != identity,
inference(demodulation,[status(thm)],[c_132622,c_100]) ).
cnf(c_132624,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_132623]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP386-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.10 % Command : run_iprover %s %d THM
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Aug 28 23:47:31 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.43/3.56 % SZS status Started for theBenchmark.p
% 20.43/3.56 % SZS status Unsatisfiable for theBenchmark.p
% 20.43/3.56
% 20.43/3.56 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 20.43/3.56
% 20.43/3.56 ------ iProver source info
% 20.43/3.56
% 20.43/3.56 git: date: 2023-05-31 18:12:56 +0000
% 20.43/3.56 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 20.43/3.56 git: non_committed_changes: false
% 20.43/3.56 git: last_make_outside_of_git: false
% 20.43/3.56
% 20.43/3.56 ------ Parsing...successful
% 20.43/3.56
% 20.43/3.56
% 20.43/3.56
% 20.43/3.56 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 20.43/3.56
% 20.43/3.56 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.43/3.56
% 20.43/3.56 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 20.43/3.56 ------ Proving...
% 20.43/3.56 ------ Problem Properties
% 20.43/3.56
% 20.43/3.56
% 20.43/3.56 clauses 58
% 20.43/3.56 conjectures 55
% 20.43/3.56 EPR 0
% 20.43/3.56 Horn 7
% 20.43/3.56 unary 3
% 20.43/3.56 binary 50
% 20.43/3.56 lits 124
% 20.43/3.56 lits eq 116
% 20.43/3.56 fd_pure 0
% 20.43/3.56 fd_pseudo 0
% 20.43/3.56 fd_cond 0
% 20.43/3.56 fd_pseudo_cond 0
% 20.43/3.56 AC symbols 0
% 20.43/3.56
% 20.43/3.56 ------ Schedule dynamic 5 is on
% 20.43/3.56
% 20.43/3.56 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.43/3.56
% 20.43/3.56
% 20.43/3.56 ------
% 20.43/3.56 Current options:
% 20.43/3.56 ------
% 20.43/3.56
% 20.43/3.56
% 20.43/3.56
% 20.43/3.56
% 20.43/3.56 ------ Proving...
% 20.43/3.56
% 20.43/3.56
% 20.43/3.56 % SZS status Unsatisfiable for theBenchmark.p
% 20.43/3.56
% 20.43/3.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.43/3.57
% 20.43/3.57
%------------------------------------------------------------------------------