TSTP Solution File: GRP338-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP338-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 00:59:24 EDT 2023

% Result   : Unsatisfiable 8.21s 1.68s
% Output   : CNFRefutation 8.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   23
% Syntax   : Number of clauses     :  211 (  37 unt;  65 nHn; 188 RR)
%            Number of literals    :  528 ( 458 equ; 270 neg)
%            Maximal clause size   :   15 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   6 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :  136 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | multiply(sk_c3,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_50,negated_conjecture,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | inverse(sk_c3) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_51,negated_conjecture,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | multiply(sk_c4,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | inverse(sk_c4) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | multiply(sk_c5,sk_c8) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

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_c3) = sk_c11
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c3,sk_c11) = sk_c10
    | multiply(sk_c1,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c1,sk_c10) = sk_c11
    | inverse(sk_c3) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c8,sk_c10) = sk_c11
    | multiply(sk_c1,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_83,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c11
    | multiply(sk_c2,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

cnf(c_84,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c11
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

cnf(c_85,negated_conjecture,
    ( multiply(sk_c8,sk_c10) = sk_c11
    | multiply(sk_c2,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

cnf(c_93,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c11
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).

cnf(c_94,negated_conjecture,
    ( inverse(sk_c5) = sk_c8
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).

cnf(c_99,negated_conjecture,
    ( multiply(X0,X1) != sk_c11
    | multiply(X2,X1) != X3
    | multiply(X1,sk_c10) != sk_c11
    | multiply(X4,sk_c10) != sk_c11
    | multiply(X5,sk_c10) != sk_c11
    | multiply(X6,sk_c11) != sk_c10
    | multiply(X7,sk_c10) != sk_c9
    | multiply(sk_c10,sk_c11) != sk_c9
    | inverse(X0) != X1
    | inverse(X2) != X3
    | inverse(X3) != X1
    | inverse(X4) != sk_c11
    | inverse(X5) != sk_c10
    | inverse(X6) != sk_c11
    | inverse(X7) != sk_c10 ),
    file('/export/starexec/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_c10) != sk_c11
    | multiply(X3,sk_c10) != sk_c11
    | multiply(X4,sk_c11) != sk_c10
    | multiply(X5,sk_c10) != sk_c9
    | multiply(sk_c10,sk_c11) != sk_c9
    | inverse(X0) != multiply(X0,inverse(X1))
    | inverse(X2) != sk_c11
    | inverse(X3) != sk_c10
    | inverse(X4) != sk_c11
    | inverse(X5) != sk_c10 ),
    inference(unflattening,[status(thm)],[c_99]) ).

cnf(c_568,negated_conjecture,
    ( multiply(X0,sk_c11) != sk_c10
    | inverse(X0) != sk_c11
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_103]) ).

cnf(c_569,negated_conjecture,
    ( multiply(X0,sk_c10) != sk_c11
    | inverse(X0) != sk_c10
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_103]) ).

cnf(c_570,negated_conjecture,
    ( multiply(X0,sk_c10) != sk_c9
    | inverse(X0) != sk_c10
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_103]) ).

cnf(c_571,negated_conjecture,
    ( multiply(X0,sk_c10) != sk_c11
    | inverse(X0) != sk_c11
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_103]) ).

cnf(c_572,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c11
    | multiply(inverse(X0),sk_c10) != sk_c11
    | inverse(X1) != multiply(X1,inverse(X0))
    | inverse(multiply(X1,inverse(X0))) != inverse(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_103]) ).

cnf(c_573,negated_conjecture,
    ( multiply(sk_c10,sk_c11) != sk_c9
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_103]) ).

cnf(c_574,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_575,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_576,plain,
    ( X0 != X1
    | X2 != X3
    | multiply(X0,X2) = multiply(X1,X3) ),
    theory(equality) ).

cnf(c_577,plain,
    ( X0 != X1
    | inverse(X0) = inverse(X1) ),
    theory(equality) ).

cnf(c_579,plain,
    ( sk_c10 != sk_c10
    | inverse(sk_c10) = inverse(sk_c10) ),
    inference(instantiation,[status(thm)],[c_577]) ).

cnf(c_580,plain,
    sk_c10 = sk_c10,
    inference(instantiation,[status(thm)],[c_574]) ).

cnf(c_581,plain,
    ( multiply(sk_c10,sk_c11) != sk_c10
    | inverse(sk_c10) != sk_c11
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_568]) ).

cnf(c_1200,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_101,c_102]) ).

cnf(c_1360,plain,
    ( multiply(sk_c10,sk_c11) != X0
    | sk_c9 != X0
    | multiply(sk_c10,sk_c11) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_1361,plain,
    ( multiply(sk_c10,sk_c11) != sk_c10
    | sk_c9 != sk_c10
    | multiply(sk_c10,sk_c11) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1360]) ).

cnf(c_1364,plain,
    ( multiply(sk_c10,sk_c11) != X0
    | X1 != X0
    | multiply(sk_c10,sk_c11) = X1 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_1365,plain,
    ( multiply(sk_c10,sk_c11) != multiply(X0,X1)
    | sk_c9 != multiply(X0,X1)
    | multiply(sk_c10,sk_c11) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1360]) ).

cnf(c_1366,plain,
    ( sk_c10 != X0
    | sk_c11 != X1
    | multiply(sk_c10,sk_c11) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_576]) ).

cnf(c_1369,plain,
    ( multiply(sk_c10,sk_c11) != X0
    | sk_c9 != X0
    | sk_c9 = multiply(sk_c10,sk_c11) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_1379,plain,
    ( multiply(X0,X1) != X2
    | sk_c9 != X2
    | sk_c9 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_1393,plain,
    ( sk_c10 != X0
    | sk_c11 != sk_c11
    | multiply(sk_c10,sk_c11) = multiply(X0,sk_c11) ),
    inference(instantiation,[status(thm)],[c_1366]) ).

cnf(c_1394,plain,
    sk_c11 = sk_c11,
    inference(instantiation,[status(thm)],[c_574]) ).

cnf(c_1395,plain,
    ( X0 != X1
    | sk_c11 != X1
    | sk_c11 = X0 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_1478,plain,
    ( inverse(identity) != sk_c11
    | sk_c10 != sk_c11
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_100,c_568]) ).

cnf(c_1479,plain,
    ( inverse(inverse(sk_c11)) != sk_c11
    | sk_c10 != identity
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_101,c_568]) ).

cnf(c_1527,plain,
    ( multiply(sk_c10,sk_c11) != sk_c9
    | sk_c9 != sk_c9
    | sk_c9 = multiply(sk_c10,sk_c11) ),
    inference(instantiation,[status(thm)],[c_1369]) ).

cnf(c_1528,plain,
    sk_c9 = sk_c9,
    inference(instantiation,[status(thm)],[c_574]) ).

cnf(c_1529,plain,
    ( X0 != X1
    | sk_c9 != X1
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_1533,plain,
    ( multiply(sk_c10,sk_c11) != X0
    | X1 != X0
    | X1 = multiply(sk_c10,sk_c11) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_1567,plain,
    ( inverse(inverse(sk_c10)) != sk_c10
    | sk_c11 != identity
    | ~ sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_101,c_569]) ).

cnf(c_1644,plain,
    ( multiply(sk_c10,sk_c11) != multiply(X0,sk_c11)
    | X1 != multiply(X0,sk_c11)
    | multiply(sk_c10,sk_c11) = X1 ),
    inference(instantiation,[status(thm)],[c_1364]) ).

cnf(c_1650,plain,
    ( X0 != sk_c11
    | sk_c11 != sk_c11
    | sk_c11 = X0 ),
    inference(instantiation,[status(thm)],[c_1395]) ).

cnf(c_1658,plain,
    ( multiply(X0,sk_c11) != X1
    | X2 != X1
    | X2 = multiply(X0,sk_c11) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_1660,plain,
    ( X0 != X1
    | X2 != sk_c11
    | multiply(X0,X2) = multiply(X1,sk_c11) ),
    inference(instantiation,[status(thm)],[c_576]) ).

cnf(c_1665,plain,
    ( multiply(X0,X1) != sk_c9
    | sk_c9 != sk_c9
    | sk_c9 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_1379]) ).

cnf(c_1675,plain,
    ( X0 != sk_c9
    | sk_c9 != sk_c9
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_1529]) ).

cnf(c_1676,plain,
    ( sk_c10 != sk_c9
    | sk_c9 != sk_c9
    | sk_c9 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_1675]) ).

cnf(c_1677,plain,
    ( inverse(sk_c3) != sk_c11
    | sk_c11 != sk_c11
    | sk_c11 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_1650]) ).

cnf(c_1681,plain,
    ( multiply(identity,sk_c11) != sk_c11
    | sk_c11 != sk_c11
    | sk_c11 = multiply(identity,sk_c11) ),
    inference(instantiation,[status(thm)],[c_1650]) ).

cnf(c_1682,plain,
    multiply(identity,sk_c11) = sk_c11,
    inference(instantiation,[status(thm)],[c_100]) ).

cnf(c_1684,plain,
    ( X0 != X1
    | sk_c11 != X1
    | X0 = sk_c11 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_1713,plain,
    ( inverse(identity) != sk_c10
    | sk_c10 != sk_c9
    | ~ sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_100,c_570]) ).

cnf(c_1832,plain,
    ( X0 != inverse(sk_c3)
    | sk_c11 != inverse(sk_c3)
    | sk_c11 = X0 ),
    inference(instantiation,[status(thm)],[c_1395]) ).

cnf(c_1875,plain,
    ( inverse(identity) != sk_c11
    | sk_c10 != sk_c11
    | ~ sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_100,c_571]) ).

cnf(c_1984,plain,
    ( multiply(sk_c4,sk_c10) != sk_c9
    | sk_c9 != sk_c9
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    inference(instantiation,[status(thm)],[c_1665]) ).

cnf(c_1985,plain,
    ( multiply(identity,sk_c9) != sk_c9
    | sk_c9 != sk_c9
    | sk_c9 = multiply(identity,sk_c9) ),
    inference(instantiation,[status(thm)],[c_1665]) ).

cnf(c_1986,plain,
    multiply(identity,sk_c9) = sk_c9,
    inference(instantiation,[status(thm)],[c_100]) ).

cnf(c_2115,plain,
    ( multiply(sk_c3,sk_c11) != sk_c10
    | X0 != sk_c10
    | X0 = multiply(sk_c3,sk_c11) ),
    inference(instantiation,[status(thm)],[c_1658]) ).

cnf(c_2116,plain,
    ( multiply(sk_c3,sk_c11) != sk_c10
    | sk_c10 != sk_c10
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    inference(instantiation,[status(thm)],[c_2115]) ).

cnf(c_2119,plain,
    ( multiply(inverse(sk_c11),sk_c11) != identity
    | X0 != identity
    | X0 = multiply(inverse(sk_c11),sk_c11) ),
    inference(instantiation,[status(thm)],[c_1658]) ).

cnf(c_2120,plain,
    multiply(inverse(sk_c11),sk_c11) = identity,
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_2121,plain,
    ( multiply(inverse(sk_c11),sk_c11) != identity
    | sk_c10 != identity
    | sk_c10 = multiply(inverse(sk_c11),sk_c11) ),
    inference(instantiation,[status(thm)],[c_2119]) ).

cnf(c_2127,plain,
    ( multiply(X0,sk_c11) != X1
    | X2 != X1
    | multiply(X0,sk_c11) = X2 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_2128,plain,
    ( multiply(X0,sk_c11) != multiply(X1,X2)
    | X3 != multiply(X1,X2)
    | X3 = multiply(X0,sk_c11) ),
    inference(instantiation,[status(thm)],[c_1658]) ).

cnf(c_2167,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1200,c_100]) ).

cnf(c_2206,plain,
    ( multiply(inverse(sk_c1),sk_c11) = sk_c10
    | multiply(sk_c8,sk_c10) = sk_c11 ),
    inference(superposition,[status(thm)],[c_75,c_2167]) ).

cnf(c_2211,plain,
    ( multiply(inverse(sk_c1),sk_c11) = sk_c10
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_70,c_2167]) ).

cnf(c_2212,plain,
    ( multiply(inverse(sk_c2),sk_c11) = sk_c10
    | multiply(sk_c8,sk_c10) = sk_c11 ),
    inference(superposition,[status(thm)],[c_85,c_2167]) ).

cnf(c_2218,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_100,c_2167]) ).

cnf(c_2219,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_101,c_2167]) ).

cnf(c_2220,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[status(thm)],[c_102,c_2167]) ).

cnf(c_2232,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_2167,c_2167]) ).

cnf(c_2363,plain,
    ( X0 != X1
    | sk_c11 != sk_c11
    | multiply(X0,sk_c11) = multiply(X1,sk_c11) ),
    inference(instantiation,[status(thm)],[c_1660]) ).

cnf(c_2373,plain,
    ( X0 != X1
    | sk_c9 != X1
    | X0 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_2381,plain,
    ( multiply(sk_c10,sk_c11) != multiply(identity,sk_c11)
    | sk_c11 != multiply(identity,sk_c11)
    | multiply(sk_c10,sk_c11) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_1644]) ).

cnf(c_2484,plain,
    ( multiply(sk_c10,sk_c11) != multiply(sk_c3,sk_c11)
    | X0 != multiply(sk_c3,sk_c11)
    | multiply(sk_c10,sk_c11) = X0 ),
    inference(instantiation,[status(thm)],[c_1644]) ).

cnf(c_2485,plain,
    ( multiply(sk_c10,sk_c11) != multiply(sk_c3,sk_c11)
    | sk_c10 != multiply(sk_c3,sk_c11)
    | multiply(sk_c10,sk_c11) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_2484]) ).

cnf(c_2782,plain,
    ( inverse(X0) != inverse(sk_c3)
    | sk_c11 != inverse(sk_c3)
    | sk_c11 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_1832]) ).

cnf(c_2783,plain,
    ( X0 != sk_c3
    | inverse(X0) = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_577]) ).

cnf(c_2784,plain,
    ( inverse(sk_c10) != inverse(sk_c3)
    | sk_c11 != inverse(sk_c3)
    | sk_c11 = inverse(sk_c10) ),
    inference(instantiation,[status(thm)],[c_2782]) ).

cnf(c_2785,plain,
    ( sk_c10 != sk_c3
    | inverse(sk_c10) = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_2783]) ).

cnf(c_2787,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_2219,c_2232]) ).

cnf(c_2796,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_2787,c_2218]) ).

cnf(c_2838,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_2232,c_101]) ).

cnf(c_2841,plain,
    multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[status(thm)],[c_2232,c_2167]) ).

cnf(c_2842,plain,
    multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_2232,c_2787]) ).

cnf(c_2843,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2842,c_2787]) ).

cnf(c_2882,plain,
    ( inverse(multiply(X0,inverse(X1))) != inverse(X1)
    | multiply(X0,inverse(X1)) != inverse(X0)
    | multiply(inverse(X1),sk_c10) != sk_c11
    | sk_c11 != identity
    | ~ sP4_iProver_split ),
    inference(demodulation,[status(thm)],[c_572,c_2838]) ).

cnf(c_2889,plain,
    inverse(inverse(sk_c10)) = sk_c10,
    inference(instantiation,[status(thm)],[c_2843]) ).

cnf(c_3319,plain,
    ( multiply(sk_c3,sk_c11) = identity
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_60,c_2838]) ).

cnf(c_3322,plain,
    ( multiply(sk_c5,sk_c8) = identity
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_94,c_2838]) ).

cnf(c_3341,plain,
    multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
    inference(superposition,[status(thm)],[c_2838,c_102]) ).

cnf(c_3405,plain,
    ( multiply(sk_c10,sk_c11) != sk_c11
    | X0 != sk_c11
    | X0 = multiply(sk_c10,sk_c11) ),
    inference(instantiation,[status(thm)],[c_1533]) ).

cnf(c_3406,plain,
    ( multiply(sk_c10,sk_c11) != sk_c11
    | X0 != sk_c11
    | multiply(sk_c10,sk_c11) = X0 ),
    inference(instantiation,[status(thm)],[c_1364]) ).

cnf(c_3409,plain,
    ( multiply(sk_c10,sk_c11) != sk_c11
    | sk_c10 != sk_c11
    | sk_c10 = multiply(sk_c10,sk_c11) ),
    inference(instantiation,[status(thm)],[c_3405]) ).

cnf(c_3575,plain,
    ( multiply(sk_c10,sk_c11) != sk_c9
    | X0 != sk_c9
    | multiply(sk_c10,sk_c11) = X0 ),
    inference(instantiation,[status(thm)],[c_1364]) ).

cnf(c_3577,plain,
    ( multiply(sk_c10,sk_c11) != sk_c9
    | sk_c10 != sk_c9
    | multiply(sk_c10,sk_c11) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_3575]) ).

cnf(c_3768,plain,
    ( inverse(sk_c1) = sk_c11
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_3319,c_59]) ).

cnf(c_3784,plain,
    ( inverse(sk_c11) = sk_c1
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_3768,c_2843]) ).

cnf(c_3806,plain,
    ( X0 != identity
    | sk_c11 != sk_c11
    | multiply(X0,sk_c11) = multiply(identity,sk_c11) ),
    inference(instantiation,[status(thm)],[c_2363]) ).

cnf(c_3808,plain,
    ( sk_c10 != identity
    | sk_c11 != sk_c11
    | multiply(sk_c10,sk_c11) = multiply(identity,sk_c11) ),
    inference(instantiation,[status(thm)],[c_3806]) ).

cnf(c_3846,plain,
    ( multiply(sk_c10,sk_c11) != multiply(identity,sk_c9)
    | sk_c9 != multiply(identity,sk_c9)
    | multiply(sk_c10,sk_c11) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1365]) ).

cnf(c_3943,plain,
    ( multiply(sk_c10,sk_c11) != multiply(inverse(sk_c11),sk_c11)
    | sk_c9 != multiply(inverse(sk_c11),sk_c11)
    | sk_c9 = multiply(sk_c10,sk_c11) ),
    inference(instantiation,[status(thm)],[c_1369]) ).

cnf(c_3949,plain,
    ( multiply(inverse(sk_c11),sk_c11) != identity
    | sk_c11 != identity
    | sk_c11 = multiply(inverse(sk_c11),sk_c11) ),
    inference(instantiation,[status(thm)],[c_2119]) ).

cnf(c_3950,plain,
    ( X0 != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 != multiply(inverse(sk_c11),sk_c11)
    | X0 = sk_c11 ),
    inference(instantiation,[status(thm)],[c_1684]) ).

cnf(c_3951,plain,
    ( X0 != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 = X0 ),
    inference(instantiation,[status(thm)],[c_1395]) ).

cnf(c_3954,plain,
    ( sk_c10 != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_3951]) ).

cnf(c_3955,plain,
    ( sk_c10 != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 != multiply(inverse(sk_c11),sk_c11)
    | sk_c10 = sk_c11 ),
    inference(instantiation,[status(thm)],[c_3950]) ).

cnf(c_4117,plain,
    ( inverse(sk_c2) = sk_c10
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_3322,c_93]) ).

cnf(c_4131,plain,
    ( multiply(sk_c2,sk_c10) = identity
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_4117,c_2838]) ).

cnf(c_4395,plain,
    ( multiply(inverse(sk_c11),sk_c11) != identity
    | X0 != identity
    | multiply(inverse(sk_c11),sk_c11) = X0 ),
    inference(instantiation,[status(thm)],[c_2127]) ).

cnf(c_4594,plain,
    ( multiply(X0,sk_c11) != multiply(sk_c4,sk_c10)
    | sk_c9 != multiply(sk_c4,sk_c10)
    | sk_c9 = multiply(X0,sk_c11) ),
    inference(instantiation,[status(thm)],[c_2128]) ).

cnf(c_4838,plain,
    ( X0 != multiply(sk_c10,sk_c11)
    | sk_c9 != multiply(sk_c10,sk_c11)
    | X0 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_2373]) ).

cnf(c_4839,plain,
    ( sk_c10 != multiply(sk_c10,sk_c11)
    | sk_c9 != multiply(sk_c10,sk_c11)
    | sk_c10 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_4838]) ).

cnf(c_5650,plain,
    ( sk_c10 != sk_c3
    | sk_c11 != sk_c11
    | multiply(sk_c10,sk_c11) = multiply(sk_c3,sk_c11) ),
    inference(instantiation,[status(thm)],[c_1393]) ).

cnf(c_6661,plain,
    ( multiply(sk_c5,multiply(sk_c8,inverse(sk_c11))) = identity
    | multiply(sk_c10,sk_c11) = sk_c9 ),
    inference(superposition,[status(thm)],[c_53,c_3341]) ).

cnf(c_8102,plain,
    ( inverse(inverse(sk_c1)) != sk_c11
    | ~ sP0_iProver_split
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_2211,c_568]) ).

cnf(c_9357,plain,
    ( inverse(X0) != X1
    | sk_c11 != X1
    | inverse(X0) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_1684]) ).

cnf(c_9497,plain,
    ( sk_c10 != sk_c11
    | sk_c11 != identity
    | ~ sP0_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_1478,c_2796]) ).

cnf(c_9897,plain,
    ( inverse(sk_c5) = sk_c8
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_4131,c_84]) ).

cnf(c_9979,plain,
    ( multiply(sk_c5,sk_c8) = identity
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_9897,c_2838]) ).

cnf(c_10506,plain,
    ( sk_c10 != sk_c9
    | sk_c10 != identity
    | ~ sP2_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_1713,c_2796]) ).

cnf(c_11542,plain,
    ( sk_c10 != sk_c11
    | sk_c11 != identity
    | ~ sP3_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_1875,c_2796]) ).

cnf(c_13833,plain,
    ( inverse(inverse(sk_c1)) != sk_c11
    | ~ sP0_iProver_split
    | multiply(sk_c8,sk_c10) = sk_c11 ),
    inference(superposition,[status(thm)],[c_2206,c_568]) ).

cnf(c_13897,plain,
    ( inverse(inverse(sk_c2)) != sk_c11
    | ~ sP0_iProver_split
    | multiply(sk_c8,sk_c10) = sk_c11 ),
    inference(superposition,[status(thm)],[c_2212,c_568]) ).

cnf(c_13959,plain,
    ( multiply(inverse(sk_c11),sk_c11) != identity
    | sk_c11 != identity
    | multiply(inverse(sk_c11),sk_c11) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_4395]) ).

cnf(c_14718,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
    inference(superposition,[status(thm)],[c_2838,c_2220]) ).

cnf(c_14858,plain,
    multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
    inference(light_normalisation,[status(thm)],[c_14718,c_2787]) ).

cnf(c_17646,plain,
    ( inverse(X0) != inverse(X0)
    | sk_c11 != inverse(X0)
    | inverse(X0) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_9357]) ).

cnf(c_17648,plain,
    ( inverse(sk_c10) != inverse(sk_c10)
    | sk_c11 != inverse(sk_c10)
    | inverse(sk_c10) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_17646]) ).

cnf(c_17802,plain,
    ( sk_c11 != X0
    | sk_c9 != X0
    | sk_c11 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1395]) ).

cnf(c_17806,plain,
    ( sk_c11 != sk_c10
    | sk_c9 != sk_c10
    | sk_c11 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_17802]) ).

cnf(c_18594,plain,
    ( multiply(sk_c2,sk_c10) = sk_c11
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_9979,c_83]) ).

cnf(c_18731,plain,
    sk_c11 = identity,
    inference(superposition,[status(thm)],[c_18594,c_4131]) ).

cnf(c_18741,plain,
    ( sk_c10 != sk_c11
    | ~ sP3_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_11542,c_18731]) ).

cnf(c_18742,plain,
    ( sk_c10 != sk_c11
    | ~ sP0_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_9497,c_18731]) ).

cnf(c_18847,plain,
    ( inverse(identity) = sk_c1
    | sk_c10 = identity ),
    inference(demodulation,[status(thm)],[c_3784,c_18731]) ).

cnf(c_18852,plain,
    ( inverse(sk_c1) = identity
    | sk_c10 = identity ),
    inference(demodulation,[status(thm)],[c_3768,c_18731]) ).

cnf(c_18871,plain,
    ( multiply(sk_c10,identity) != sk_c9
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(demodulation,[status(thm)],[c_573,c_18731]) ).

cnf(c_18883,plain,
    ( multiply(sk_c3,identity) = sk_c10
    | multiply(sk_c1,sk_c10) = identity ),
    inference(demodulation,[status(thm)],[c_69,c_18731]) ).

cnf(c_18888,plain,
    ( multiply(sk_c10,identity) = sk_c9
    | multiply(sk_c4,sk_c10) = sk_c9 ),
    inference(demodulation,[status(thm)],[c_51,c_18731]) ).

cnf(c_18902,plain,
    ( multiply(sk_c1,sk_c10) = identity
    | inverse(sk_c3) = identity ),
    inference(demodulation,[status(thm)],[c_70,c_18731]) ).

cnf(c_18907,plain,
    ( multiply(sk_c3,identity) = sk_c10
    | inverse(sk_c1) = identity ),
    inference(demodulation,[status(thm)],[c_59,c_18731]) ).

cnf(c_18911,plain,
    ( multiply(sk_c10,identity) = sk_c9
    | inverse(sk_c4) = sk_c10 ),
    inference(demodulation,[status(thm)],[c_52,c_18731]) ).

cnf(c_18912,plain,
    ( multiply(sk_c10,identity) = sk_c9
    | inverse(sk_c3) = identity ),
    inference(demodulation,[status(thm)],[c_50,c_18731]) ).

cnf(c_18913,plain,
    ( multiply(sk_c10,identity) = sk_c9
    | multiply(sk_c3,identity) = sk_c10 ),
    inference(demodulation,[status(thm)],[c_49,c_18731]) ).

cnf(c_19080,plain,
    ( sk_c10 = identity
    | sk_c1 = identity ),
    inference(light_normalisation,[status(thm)],[c_18847,c_2796]) ).

cnf(c_19460,plain,
    ( sk_c10 != identity
    | ~ sP3_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_18741,c_18731]) ).

cnf(c_19936,plain,
    ( multiply(inverse(sk_c11),sk_c11) != multiply(sk_c4,sk_c10)
    | sk_c9 != multiply(sk_c4,sk_c10)
    | sk_c9 = multiply(inverse(sk_c11),sk_c11) ),
    inference(instantiation,[status(thm)],[c_4594]) ).

cnf(c_19937,plain,
    ( multiply(inverse(sk_c11),sk_c11) != identity
    | multiply(sk_c4,sk_c10) != identity
    | multiply(inverse(sk_c11),sk_c11) = multiply(sk_c4,sk_c10) ),
    inference(instantiation,[status(thm)],[c_4395]) ).

cnf(c_20333,plain,
    ( sk_c10 != identity
    | sk_c11 != sk_c9
    | multiply(sk_c10,sk_c11) = multiply(identity,sk_c9) ),
    inference(instantiation,[status(thm)],[c_1366]) ).

cnf(c_20479,plain,
    ( inverse(sk_c1) = identity
    | sk_c10 = sk_c3 ),
    inference(demodulation,[status(thm)],[c_18907,c_2787]) ).

cnf(c_20485,plain,
    ( multiply(sk_c1,multiply(identity,X0)) = X0
    | sk_c10 = sk_c3 ),
    inference(superposition,[status(thm)],[c_20479,c_2841]) ).

cnf(c_20499,plain,
    ( multiply(sk_c1,X0) = X0
    | sk_c10 = sk_c3 ),
    inference(light_normalisation,[status(thm)],[c_20485,c_100]) ).

cnf(c_20734,plain,
    ( inverse(sk_c4) = sk_c10
    | sk_c10 = sk_c9 ),
    inference(demodulation,[status(thm)],[c_18911,c_2787]) ).

cnf(c_20741,plain,
    ( multiply(sk_c4,sk_c10) = identity
    | sk_c10 = sk_c9 ),
    inference(superposition,[status(thm)],[c_20734,c_2838]) ).

cnf(c_20779,plain,
    ( multiply(inverse(sk_c11),sk_c11) != sk_c11
    | multiply(sk_c10,sk_c11) != sk_c11
    | multiply(sk_c10,sk_c11) = multiply(inverse(sk_c11),sk_c11) ),
    inference(instantiation,[status(thm)],[c_3406]) ).

cnf(c_20789,plain,
    ( inverse(sk_c3) = identity
    | sk_c10 = sk_c9 ),
    inference(demodulation,[status(thm)],[c_18912,c_2787]) ).

cnf(c_20796,plain,
    ( inverse(identity) = sk_c3
    | sk_c10 = sk_c9 ),
    inference(superposition,[status(thm)],[c_20789,c_2843]) ).

cnf(c_20799,plain,
    ( sk_c10 = sk_c9
    | sk_c3 = identity ),
    inference(light_normalisation,[status(thm)],[c_20796,c_2796]) ).

cnf(c_21139,plain,
    ( sP0_iProver_split
    | multiply(sk_c10,identity) != sk_c9
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_18871,c_1567,c_2889,c_18731,c_18871]) ).

cnf(c_21140,plain,
    ( multiply(sk_c10,identity) != sk_c9
    | sP0_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(renaming,[status(thm)],[c_21139]) ).

cnf(c_21141,plain,
    ( sk_c10 != sk_c9
    | sP0_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(demodulation,[status(thm)],[c_21140,c_2787]) ).

cnf(c_21539,plain,
    ( multiply(sk_c1,multiply(identity,X0)) = X0
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_18852,c_2841]) ).

cnf(c_21547,plain,
    ( multiply(sk_c1,X0) = X0
    | sk_c10 = identity ),
    inference(light_normalisation,[status(thm)],[c_21539,c_100]) ).

cnf(c_21578,plain,
    ( multiply(sk_c1,sk_c10) = identity
    | sk_c10 = sk_c3 ),
    inference(demodulation,[status(thm)],[c_18883,c_2787]) ).

cnf(c_21785,plain,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | sk_c10 = sk_c9 ),
    inference(demodulation,[status(thm)],[c_18888,c_2787]) ).

cnf(c_21794,plain,
    ( inverse(sk_c4) != sk_c10
    | ~ sP2_iProver_split
    | sk_c10 = sk_c9 ),
    inference(superposition,[status(thm)],[c_21785,c_570]) ).

cnf(c_21812,plain,
    ( sk_c10 = sk_c9
    | sk_c10 = sk_c3 ),
    inference(demodulation,[status(thm)],[c_18913,c_2787]) ).

cnf(c_21819,plain,
    ( sk_c10 = sk_c9
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_21812,c_20799]) ).

cnf(c_21834,plain,
    sk_c10 = sk_c9,
    inference(global_subsumption_just,[status(thm)],[c_21794,c_51,c_1394,c_1527,c_1528,c_1681,c_1682,c_1984,c_2121,c_2120,c_2381,c_3409,c_3808,c_3943,c_3949,c_3955,c_4839,c_13959,c_18731,c_19936,c_19937,c_20741,c_20779,c_21819]) ).

cnf(c_21847,plain,
    ( sk_c10 != sk_c10
    | sP0_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(demodulation,[status(thm)],[c_21141,c_21834]) ).

cnf(c_21856,plain,
    ( sk_c10 != sk_c10
    | sk_c10 != identity
    | ~ sP2_iProver_split ),
    inference(demodulation,[status(thm)],[c_10506,c_21834]) ).

cnf(c_21865,plain,
    ( sP0_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(equality_resolution_simp,[status(thm)],[c_21847]) ).

cnf(c_21878,plain,
    ( sk_c10 != identity
    | ~ sP2_iProver_split ),
    inference(equality_resolution_simp,[status(thm)],[c_21856]) ).

cnf(c_22140,plain,
    ( sk_c10 != identity
    | ~ sP0_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_1479,c_2121,c_2120,c_3949,c_3955,c_18731,c_18742]) ).

cnf(c_24270,plain,
    multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
    inference(superposition,[status(thm)],[c_2167,c_14858]) ).

cnf(c_26839,plain,
    ( sk_c10 = sk_c3
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_20499,c_21578]) ).

cnf(c_26898,plain,
    multiply(sk_c10,sk_c11) = sk_c9,
    inference(global_subsumption_just,[status(thm)],[c_6661,c_51,c_49,c_580,c_1361,c_1394,c_1527,c_1528,c_1676,c_1681,c_1682,c_1984,c_1985,c_1986,c_2116,c_2121,c_2120,c_2381,c_2485,c_3409,c_3808,c_3846,c_3943,c_3949,c_3954,c_3955,c_4839,c_5650,c_13959,c_17806,c_18731,c_19936,c_19937,c_20333,c_20741,c_20779,c_21819,c_26839]) ).

cnf(c_27227,plain,
    ( ~ sP0_iProver_split
    | inverse(inverse(sk_c1)) != sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_13833,c_51,c_579,c_580,c_581,c_1394,c_1527,c_1528,c_1677,c_1681,c_1682,c_1984,c_2121,c_2120,c_2381,c_2784,c_2785,c_3409,c_3577,c_3808,c_3943,c_3949,c_3955,c_4839,c_8102,c_13959,c_17648,c_18731,c_19936,c_19937,c_20741,c_20779,c_21819,c_22140,c_26839,c_26898]) ).

cnf(c_27228,plain,
    ( inverse(inverse(sk_c1)) != sk_c11
    | ~ sP0_iProver_split ),
    inference(renaming,[status(thm)],[c_27227]) ).

cnf(c_27229,plain,
    ( inverse(inverse(sk_c1)) != identity
    | ~ sP0_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_27228,c_18731]) ).

cnf(c_27230,plain,
    ( sk_c1 != identity
    | ~ sP0_iProver_split ),
    inference(demodulation,[status(thm)],[c_27229,c_2843]) ).

cnf(c_27235,plain,
    ( ~ sP0_iProver_split
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_19080,c_27230]) ).

cnf(c_27238,plain,
    ~ sP0_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_13897,c_22140,c_27235]) ).

cnf(c_27240,plain,
    ( sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_21865,c_27238]) ).

cnf(c_27964,plain,
    ( inverse(sk_c3) = identity
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_21547,c_18902]) ).

cnf(c_28428,plain,
    ( inverse(identity) = sk_c3
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_27964,c_2843]) ).

cnf(c_28431,plain,
    ( sk_c10 = identity
    | sk_c3 = identity ),
    inference(light_normalisation,[status(thm)],[c_28428,c_2796]) ).

cnf(c_28497,plain,
    sk_c10 = identity,
    inference(superposition,[status(thm)],[c_28431,c_26839]) ).

cnf(c_28510,plain,
    ~ sP2_iProver_split,
    inference(backward_subsumption_resolution,[status(thm)],[c_21878,c_28497]) ).

cnf(c_28511,plain,
    ~ sP3_iProver_split,
    inference(backward_subsumption_resolution,[status(thm)],[c_19460,c_28497]) ).

cnf(c_28654,plain,
    ( sP3_iProver_split
    | sP4_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_27240,c_28510]) ).

cnf(c_28669,plain,
    sP4_iProver_split,
    inference(backward_subsumption_resolution,[status(thm)],[c_28654,c_28511]) ).

cnf(c_40108,plain,
    ( inverse(multiply(X0,inverse(X1))) != inverse(X1)
    | multiply(X0,inverse(X1)) != inverse(X0)
    | multiply(inverse(X1),sk_c10) != sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_2882,c_2882,c_18731,c_28669]) ).

cnf(c_40111,plain,
    ( inverse(multiply(X0,inverse(X1))) != inverse(X1)
    | multiply(X0,inverse(X1)) != inverse(X0)
    | multiply(inverse(X1),identity) != identity ),
    inference(light_normalisation,[status(thm)],[c_40108,c_18731,c_28497]) ).

cnf(c_40112,plain,
    ( multiply(X0,inverse(X1)) != inverse(X0)
    | multiply(X1,inverse(X0)) != inverse(X1)
    | inverse(X1) != identity ),
    inference(demodulation,[status(thm)],[c_40111,c_2787,c_2843,c_24270]) ).

cnf(c_40122,plain,
    ( multiply(X0,inverse(X0)) != inverse(X0)
    | inverse(X0) != identity ),
    inference(superposition,[status(thm)],[c_2838,c_40112]) ).

cnf(c_40169,plain,
    inverse(X0) != identity,
    inference(light_normalisation,[status(thm)],[c_40122,c_2838]) ).

cnf(c_40170,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_2796,c_40169]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP338-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 01:40:02 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.21/1.68  % SZS status Started for theBenchmark.p
% 8.21/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 8.21/1.68  
% 8.21/1.68  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.21/1.68  
% 8.21/1.68  ------  iProver source info
% 8.21/1.68  
% 8.21/1.68  git: date: 2023-05-31 18:12:56 +0000
% 8.21/1.68  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.21/1.68  git: non_committed_changes: false
% 8.21/1.68  git: last_make_outside_of_git: false
% 8.21/1.68  
% 8.21/1.68  ------ Parsing...successful
% 8.21/1.68  
% 8.21/1.68  
% 8.21/1.68  
% 8.21/1.68  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 8.21/1.68  
% 8.21/1.68  ------ Preprocessing... gs_s  sp: 5 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.21/1.68  
% 8.21/1.68  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 8.21/1.68  ------ Proving...
% 8.21/1.68  ------ Problem Properties 
% 8.21/1.68  
% 8.21/1.68  
% 8.21/1.68  clauses                                 59
% 8.21/1.68  conjectures                             56
% 8.21/1.68  EPR                                     0
% 8.21/1.68  Horn                                    8
% 8.21/1.68  unary                                   3
% 8.21/1.68  binary                                  50
% 8.21/1.68  lits                                    126
% 8.21/1.68  lits eq                                 116
% 8.21/1.68  fd_pure                                 0
% 8.21/1.68  fd_pseudo                               0
% 8.21/1.68  fd_cond                                 0
% 8.21/1.68  fd_pseudo_cond                          0
% 8.21/1.68  AC symbols                              0
% 8.21/1.68  
% 8.21/1.68  ------ Schedule dynamic 5 is on 
% 8.21/1.68  
% 8.21/1.68  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.21/1.68  
% 8.21/1.68  
% 8.21/1.68  ------ 
% 8.21/1.68  Current options:
% 8.21/1.68  ------ 
% 8.21/1.68  
% 8.21/1.68  
% 8.21/1.68  
% 8.21/1.68  
% 8.21/1.68  ------ Proving...
% 8.21/1.68  
% 8.21/1.68  
% 8.21/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 8.21/1.68  
% 8.21/1.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.21/1.69  
% 8.21/1.69  
%------------------------------------------------------------------------------