TSTP Solution File: GRP303-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP303-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 00:59:13 EDT 2023
% Result : Unsatisfiable 3.55s 1.08s
% Output : CNFRefutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 27
% Syntax : Number of clauses : 241 ( 68 unt; 92 nHn; 212 RR)
% Number of literals : 532 ( 444 equ; 191 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_72,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_73,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_78,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(X3,sk_c5) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_70,c_53,c_70]) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
inference(renaming,[status(thm)],[c_78]) ).
cnf(c_287,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_79]) ).
cnf(c_288,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_79]) ).
cnf(c_289,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_79]) ).
cnf(c_290,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_79]) ).
cnf(c_291,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79]) ).
cnf(c_292,plain,
X0 = X0,
theory(equality) ).
cnf(c_293,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_294,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_298,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_292]) ).
cnf(c_523,plain,
( inverse(sk_c4) = sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_51,c_291]) ).
cnf(c_524,plain,
( inverse(sk_c3) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_49,c_291]) ).
cnf(c_563,plain,
( inverse(sk_c3) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_67,c_287]) ).
cnf(c_567,plain,
( inverse(sk_c2) != sk_c7
| ~ sP0_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_287]) ).
cnf(c_568,plain,
( inverse(sk_c2) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_64,c_287]) ).
cnf(c_569,plain,
( inverse(sk_c2) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_287]) ).
cnf(c_619,plain,
multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_53,c_73]) ).
cnf(c_629,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_72,c_73]) ).
cnf(c_693,plain,
( multiply(sk_c7,sk_c6) != X0
| sk_c5 != X0
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_696,plain,
( X0 != X1
| sk_c5 != X1
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_697,plain,
( X0 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_696]) ).
cnf(c_698,plain,
sk_c5 = sk_c5,
inference(instantiation,[status(thm)],[c_292]) ).
cnf(c_699,plain,
( sk_c6 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = sk_c6 ),
inference(instantiation,[status(thm)],[c_697]) ).
cnf(c_703,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_697]) ).
cnf(c_707,plain,
( X0 != X1
| sk_c5 != X1
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_741,plain,
( multiply(sk_c7,sk_c6) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(instantiation,[status(thm)],[c_693]) ).
cnf(c_778,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_629,c_71]) ).
cnf(c_791,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm)],[c_53,c_778]) ).
cnf(c_792,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_778]) ).
cnf(c_794,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_778]) ).
cnf(c_795,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_54,c_778]) ).
cnf(c_796,plain,
( multiply(inverse(sk_c2),sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_65,c_778]) ).
cnf(c_798,plain,
( multiply(inverse(sk_c2),sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_64,c_778]) ).
cnf(c_799,plain,
( multiply(inverse(sk_c2),sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_778]) ).
cnf(c_800,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_71,c_778]) ).
cnf(c_801,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_72,c_778]) ).
cnf(c_808,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_778,c_778]) ).
cnf(c_866,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_294]) ).
cnf(c_904,plain,
( sk_c7 != X0
| sk_c6 != X0
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_920,plain,
( inverse(sk_c3) != sk_c6
| ~ sP1_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_67,c_288]) ).
cnf(c_924,plain,
( inverse(sk_c2) != sk_c6
| ~ sP1_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_288]) ).
cnf(c_925,plain,
( inverse(sk_c2) != sk_c6
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_64,c_288]) ).
cnf(c_926,plain,
( inverse(sk_c2) != sk_c6
| ~ sP1_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_288]) ).
cnf(c_973,plain,
( multiply(sk_c7,sk_c6) != X0
| X1 != X0
| multiply(sk_c7,sk_c6) = X1 ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_1069,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_55,c_290]) ).
cnf(c_1070,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_290]) ).
cnf(c_1071,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_54,c_290]) ).
cnf(c_1072,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_71,c_290]) ).
cnf(c_1118,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_292]) ).
cnf(c_1120,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_1121,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1120]) ).
cnf(c_1124,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c7 != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_791,c_289]) ).
cnf(c_1181,plain,
( inverse(sk_c4) = sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_51,c_291]) ).
cnf(c_1182,plain,
( inverse(sk_c3) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_49,c_291]) ).
cnf(c_1388,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_801,c_808]) ).
cnf(c_1398,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1388,c_800]) ).
cnf(c_1424,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_808,c_72]) ).
cnf(c_1430,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_808,c_778]) ).
cnf(c_1431,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_808,c_1388]) ).
cnf(c_1432,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1431,c_1388]) ).
cnf(c_1455,plain,
inverse(inverse(sk_c6)) = sk_c6,
inference(instantiation,[status(thm)],[c_1432]) ).
cnf(c_1540,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_60,c_794]) ).
cnf(c_1583,plain,
( inverse(sk_c4) = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_1540,c_51]) ).
cnf(c_1631,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_67,c_73]) ).
cnf(c_1632,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_73]) ).
cnf(c_1647,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_72,c_73]) ).
cnf(c_1728,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_58,c_795]) ).
cnf(c_1754,plain,
( inverse(sk_c3) = sk_c7
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_1728,c_49]) ).
cnf(c_1812,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_1813,plain,
( sk_c7 != sk_c7
| sk_c6 != sk_c7
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_904]) ).
cnf(c_1821,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_60,c_1424]) ).
cnf(c_1832,plain,
multiply(sk_c5,inverse(sk_c7)) = multiply(sk_c6,identity),
inference(superposition,[status(thm)],[c_1424,c_619]) ).
cnf(c_1891,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| X0 != sk_c5
| multiply(sk_c7,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_973]) ).
cnf(c_1892,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != sk_c5
| multiply(sk_c7,sk_c6) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1891]) ).
cnf(c_1941,plain,
( inverse(sk_c6) = sk_c4
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_1583,c_1432]) ).
cnf(c_2002,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = X0
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_60,c_1430]) ).
cnf(c_2064,plain,
multiply(sk_c5,inverse(sk_c7)) = sk_c6,
inference(demodulation,[status(thm)],[c_1832,c_1388]) ).
cnf(c_2065,plain,
multiply(inverse(sk_c5),sk_c6) = inverse(sk_c7),
inference(superposition,[status(thm)],[c_2064,c_778]) ).
cnf(c_2079,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(sk_c3) != sk_c7
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_2252,plain,
( sP2_iProver_split
| inverse(sk_c4) = sk_c6
| sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1181,c_68,c_60,c_523,c_925,c_1070]) ).
cnf(c_2253,plain,
( inverse(sk_c4) = sk_c6
| sP0_iProver_split
| sP2_iProver_split ),
inference(renaming,[status(thm)],[c_2252]) ).
cnf(c_2260,plain,
( sP2_iProver_split
| inverse(sk_c3) = sk_c7
| sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1182,c_66,c_58,c_524,c_926,c_1071]) ).
cnf(c_2261,plain,
( inverse(sk_c3) = sk_c7
| sP0_iProver_split
| sP2_iProver_split ),
inference(renaming,[status(thm)],[c_2260]) ).
cnf(c_2324,plain,
( inverse(sk_c4) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1821,c_56]) ).
cnf(c_2351,plain,
( inverse(sk_c6) = sk_c4
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2324,c_1432]) ).
cnf(c_2545,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1647,c_71]) ).
cnf(c_2556,plain,
( multiply(inverse(sk_c4),sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_69,c_2545]) ).
cnf(c_2557,plain,
( multiply(inverse(sk_c4),sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_61,c_2545]) ).
cnf(c_2558,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm)],[c_53,c_2545]) ).
cnf(c_2561,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_2545]) ).
cnf(c_2562,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_54,c_2545]) ).
cnf(c_2568,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_72,c_2545]) ).
cnf(c_2575,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2545,c_2545]) ).
cnf(c_2682,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_1941,c_791]) ).
cnf(c_2694,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2351,c_791]) ).
cnf(c_2810,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_68,c_798]) ).
cnf(c_2816,plain,
( inverse(sk_c4) = sk_c6
| sk_c6 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_2810,c_53]) ).
cnf(c_2895,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_66,c_799]) ).
cnf(c_2900,plain,
( inverse(sk_c3) = sk_c7
| sk_c6 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_2895,c_53]) ).
cnf(c_2920,plain,
( multiply(sk_c3,sk_c7) = identity
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_2900,c_1424]) ).
cnf(c_2949,plain,
( ~ sP0_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_563,c_66,c_563]) ).
cnf(c_3154,plain,
( ~ sP0_iProver_split
| inverse(sk_c2) != sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_568,c_569,c_567,c_2079]) ).
cnf(c_3155,plain,
( inverse(sk_c2) != sk_c7
| ~ sP0_iProver_split ),
inference(renaming,[status(thm)],[c_3154]) ).
cnf(c_3160,plain,
( sk_c7 != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_68,c_3155]) ).
cnf(c_3161,plain,
( sk_c7 != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_66,c_3155]) ).
cnf(c_3168,plain,
( sk_c7 != sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_3160,c_1124,c_1455,c_2253,c_3160]) ).
cnf(c_3174,plain,
( sk_c7 != sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_3161,c_1124,c_1455,c_2261,c_3161]) ).
cnf(c_3796,plain,
( multiply(sk_c7,sk_c6) != X0
| X1 != X0
| X1 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_3797,plain,
( multiply(sk_c7,sk_c6) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_3796]) ).
cnf(c_4045,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1812]) ).
cnf(c_5089,plain,
( inverse(sk_c2) = sk_c6
| sk_c7 = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_2682,c_69]) ).
cnf(c_5090,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_2682,c_61]) ).
cnf(c_5118,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1072,c_1398]) ).
cnf(c_5162,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_2568,c_2575]) ).
cnf(c_5315,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_2575,c_72]) ).
cnf(c_5322,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_2575,c_5162]) ).
cnf(c_5323,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_5322,c_5162]) ).
cnf(c_5495,plain,
( inverse(sk_c2) = sk_c6
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2694,c_69]) ).
cnf(c_5639,plain,
( multiply(sk_c1,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_51,c_2002]) ).
cnf(c_5706,plain,
( inverse(sk_c1) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_5639,c_289]) ).
cnf(c_6115,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_60,c_2561]) ).
cnf(c_7199,plain,
( sk_c7 != sk_c7
| sk_c5 != sk_c7
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_4045]) ).
cnf(c_7204,plain,
( sk_c7 != sk_c5
| sk_c6 != sk_c5
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_904]) ).
cnf(c_7285,plain,
( sk_c7 != X0
| sk_c5 != X0
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_707]) ).
cnf(c_7287,plain,
( X0 != sk_c5
| sk_c7 != sk_c5
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1120]) ).
cnf(c_7288,plain,
( sk_c7 != sk_c6
| sk_c5 != sk_c6
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_7285]) ).
cnf(c_7289,plain,
( sk_c7 != sk_c5
| sk_c6 != sk_c5
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_7287]) ).
cnf(c_7443,plain,
( multiply(sk_c7,sk_c6) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_4045]) ).
cnf(c_7445,plain,
inverse(sk_c4) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_6115,c_1583,c_2816,c_3168,c_7204]) ).
cnf(c_7448,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
inference(demodulation,[status(thm)],[c_2557,c_7445]) ).
cnf(c_7449,plain,
( multiply(sk_c6,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
inference(demodulation,[status(thm)],[c_2556,c_7445]) ).
cnf(c_7471,plain,
inverse(sk_c3) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_2562,c_1754,c_2900,c_3174,c_7204]) ).
cnf(c_7509,plain,
multiply(sk_c3,sk_c7) = identity,
inference(superposition,[status(thm)],[c_7471,c_5315]) ).
cnf(c_7522,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_7448,c_2545]) ).
cnf(c_7526,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_7522,c_2558]) ).
cnf(c_7540,plain,
inverse(sk_c7) = sk_c3,
inference(superposition,[status(thm)],[c_7471,c_5323]) ).
cnf(c_7541,plain,
inverse(sk_c6) = sk_c4,
inference(superposition,[status(thm)],[c_7445,c_5323]) ).
cnf(c_7545,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(demodulation,[status(thm)],[c_2558,c_7541]) ).
cnf(c_7546,plain,
( multiply(sk_c2,sk_c6) = sk_c7
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_65,c_7545]) ).
cnf(c_7547,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_57,c_7545]) ).
cnf(c_7548,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_52,c_7545]) ).
cnf(c_7549,plain,
( inverse(sk_c2) = sk_c6
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_69,c_7545]) ).
cnf(c_7623,plain,
( inverse(sk_c2) != sk_c6
| ~ sP1_iProver_split
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_7546,c_288]) ).
cnf(c_7756,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_7547,c_290]) ).
cnf(c_7904,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(global_subsumption_just,[status(thm)],[c_7548,c_53,c_298,c_698,c_703,c_741,c_866,c_1121,c_7548]) ).
cnf(c_7912,plain,
multiply(inverse(sk_c7),sk_c5) = sk_c6,
inference(superposition,[status(thm)],[c_7904,c_2545]) ).
cnf(c_7917,plain,
multiply(sk_c3,sk_c5) = sk_c6,
inference(light_normalisation,[status(thm)],[c_7912,c_7540]) ).
cnf(c_7927,plain,
( ~ sP1_iProver_split
| sk_c7 = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_7623,c_7549,c_7623]) ).
cnf(c_7940,plain,
( ~ sP3_iProver_split
| sk_c7 = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_7756,c_7526,c_7756]) ).
cnf(c_8025,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_7449,c_1631]) ).
cnf(c_8027,plain,
( inverse(sk_c2) = sk_c6
| sk_c6 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_8025,c_7904,c_7917]) ).
cnf(c_8156,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_7448,c_1632]) ).
cnf(c_8168,plain,
( inverse(sk_c1) = sk_c7
| sk_c6 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_8156,c_7904,c_7917]) ).
cnf(c_8319,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| sk_c6 != multiply(sk_c7,sk_c6)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_904]) ).
cnf(c_8508,plain,
( sk_c7 != X0
| sk_c5 != X0
| sk_c5 = sk_c7 ),
inference(instantiation,[status(thm)],[c_696]) ).
cnf(c_8512,plain,
( sk_c7 != sk_c6
| sk_c5 != sk_c6
| sk_c5 = sk_c7 ),
inference(instantiation,[status(thm)],[c_8508]) ).
cnf(c_8539,plain,
multiply(sk_c3,sk_c7) = identity,
inference(global_subsumption_just,[status(thm)],[c_2920,c_7509]) ).
cnf(c_8542,plain,
multiply(inverse(sk_c3),identity) = sk_c7,
inference(superposition,[status(thm)],[c_8539,c_778]) ).
cnf(c_8543,plain,
multiply(sk_c3,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_8539,c_73]) ).
cnf(c_8544,plain,
multiply(sk_c3,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_8543,c_71]) ).
cnf(c_8548,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm)],[c_8542,c_1388]) ).
cnf(c_8560,plain,
( sk_c7 != sk_c6
| ~ sP1_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(demodulation,[status(thm)],[c_920,c_8548]) ).
cnf(c_8594,plain,
inverse(sk_c7) = sk_c3,
inference(superposition,[status(thm)],[c_8548,c_1432]) ).
cnf(c_8603,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c3,
inference(demodulation,[status(thm)],[c_2065,c_8594]) ).
cnf(c_8604,plain,
multiply(sk_c5,sk_c3) = sk_c6,
inference(demodulation,[status(thm)],[c_2064,c_8594]) ).
cnf(c_8661,plain,
( inverse(sk_c2) = sk_c6
| sk_c7 = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_5089,c_699,c_698,c_7288,c_7549,c_8027]) ).
cnf(c_8668,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_8661,c_796]) ).
cnf(c_8689,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| sk_c7 = sk_c5
| sk_c6 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_8668,c_53]) ).
cnf(c_8699,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_5090,c_699,c_698,c_7288,c_7526,c_8168]) ).
cnf(c_8706,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_8699,c_792]) ).
cnf(c_8732,plain,
( sk_c7 = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_5495,c_7549]) ).
cnf(c_8733,plain,
( inverse(sk_c2) = sk_c6
| sk_c7 = sk_c6 ),
inference(renaming,[status(thm)],[c_8732]) ).
cnf(c_8739,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_8733,c_796]) ).
cnf(c_8761,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| sk_c7 = sk_c6
| sk_c6 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_8739,c_53]) ).
cnf(c_8803,plain,
inverse(sk_c4) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_5706,c_1583,c_2816,c_3168,c_7204]) ).
cnf(c_8839,plain,
inverse(sk_c6) = sk_c4,
inference(superposition,[status(thm)],[c_8803,c_1432]) ).
cnf(c_8844,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(demodulation,[status(thm)],[c_791,c_8839]) ).
cnf(c_8849,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_57,c_8844]) ).
cnf(c_8850,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_52,c_8844]) ).
cnf(c_8992,plain,
( inverse(sk_c4) != sk_c6
| sk_c7 != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_8844,c_289]) ).
cnf(c_8994,plain,
( sk_c7 != sk_c6
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_8992,c_8803]) ).
cnf(c_9012,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_8849,c_290]) ).
cnf(c_9018,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(global_subsumption_just,[status(thm)],[c_8850,c_53,c_298,c_698,c_703,c_741,c_866,c_1121,c_7548]) ).
cnf(c_9021,plain,
( sk_c5 != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_291,c_9018]) ).
cnf(c_9022,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_9021]) ).
cnf(c_9031,plain,
multiply(sk_c3,sk_c5) = sk_c6,
inference(superposition,[status(thm)],[c_9018,c_8544]) ).
cnf(c_9056,plain,
( ~ sP3_iProver_split
| sk_c7 = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_9012,c_7940]) ).
cnf(c_9062,plain,
( sk_c7 != identity
| ~ sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_5118,c_9056]) ).
cnf(c_9159,plain,
multiply(sk_c3,multiply(sk_c5,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_9031,c_73]) ).
cnf(c_9167,plain,
( inverse(inverse(sk_c5)) != sk_c7
| sk_c7 != sk_c3
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_8603,c_287]) ).
cnf(c_9228,plain,
( ~ sP1_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_924,c_924,c_7927,c_8560]) ).
cnf(c_9279,plain,
multiply(sk_c6,sk_c3) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm)],[c_8604,c_9159]) ).
cnf(c_9287,plain,
( ~ sP1_iProver_split
| multiply(sk_c6,sk_c3) = sk_c7 ),
inference(demodulation,[status(thm)],[c_9228,c_9279]) ).
cnf(c_9292,plain,
( multiply(sk_c6,sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(demodulation,[status(thm)],[c_55,c_9279]) ).
cnf(c_9382,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| multiply(sk_c6,sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_9292,c_290]) ).
cnf(c_9635,plain,
( ~ sP3_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1069,c_59,c_1069]) ).
cnf(c_9637,plain,
( ~ sP3_iProver_split
| multiply(sk_c6,sk_c3) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_9635,c_9279]) ).
cnf(c_9642,plain,
( multiply(sk_c6,sk_c3) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_9022,c_9637]) ).
cnf(c_9895,plain,
( multiply(sk_c6,sk_c3) != sk_c7
| inverse(sk_c3) != sk_c6
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_9279,c_288]) ).
cnf(c_9904,plain,
( multiply(sk_c6,sk_c3) != sk_c7
| sk_c7 != sk_c6
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_9895,c_8548]) ).
cnf(c_9908,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_9287,c_7927,c_9287,c_9904]) ).
cnf(c_10330,plain,
( sk_c7 = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_8689,c_298,c_699,c_698,c_1118,c_1892,c_3797,c_7199,c_7443,c_7904,c_8319,c_8512,c_8689,c_8706]) ).
cnf(c_10331,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| sk_c7 = sk_c5 ),
inference(renaming,[status(thm)],[c_10330]) ).
cnf(c_10405,plain,
( sk_c7 = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_8761,c_1118,c_1813,c_7289,c_8761,c_10331]) ).
cnf(c_10406,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| sk_c7 = sk_c6 ),
inference(renaming,[status(thm)],[c_10405]) ).
cnf(c_10407,plain,
sk_c7 = sk_c6,
inference(light_normalisation,[status(thm)],[c_10406,c_8844]) ).
cnf(c_10433,plain,
( sk_c6 != sk_c6
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_8994,c_10407]) ).
cnf(c_10455,plain,
multiply(sk_c3,sk_c6) = identity,
inference(demodulation,[status(thm)],[c_8539,c_10407]) ).
cnf(c_10457,plain,
( inverse(sk_c2) != sk_c6
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_3155,c_10407]) ).
cnf(c_10464,plain,
multiply(sk_c6,sk_c3) = identity,
inference(light_normalisation,[status(thm)],[c_10455,c_9279]) ).
cnf(c_10471,plain,
~ sP2_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_10433]) ).
cnf(c_10546,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_9167,c_2949,c_10457]) ).
cnf(c_10562,plain,
multiply(sk_c6,sk_c3) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_9382,c_9642,c_9908,c_10471,c_10546]) ).
cnf(c_10564,plain,
sk_c6 = identity,
inference(light_normalisation,[status(thm)],[c_10562,c_10407,c_10464]) ).
cnf(c_10567,plain,
sk_c7 = identity,
inference(demodulation,[status(thm)],[c_10407,c_10564]) ).
cnf(c_10578,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10567,c_10546,c_10471,c_9908,c_9062,c_7904,c_291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP303-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 23:13:35 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.43 Running first-order theorem proving
% 0.19/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.55/1.08 % SZS status Started for theBenchmark.p
% 3.55/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 3.55/1.08
% 3.55/1.08 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.55/1.08
% 3.55/1.08 ------ iProver source info
% 3.55/1.08
% 3.55/1.08 git: date: 2023-05-31 18:12:56 +0000
% 3.55/1.08 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.55/1.08 git: non_committed_changes: false
% 3.55/1.08 git: last_make_outside_of_git: false
% 3.55/1.08
% 3.55/1.08 ------ Parsing...successful
% 3.55/1.08
% 3.55/1.08
% 3.55/1.08
% 3.55/1.08 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.55/1.08
% 3.55/1.08 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.55/1.08
% 3.55/1.08 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.55/1.08 ------ Proving...
% 3.55/1.08 ------ Problem Properties
% 3.55/1.08
% 3.55/1.08
% 3.55/1.08 clauses 29
% 3.55/1.08 conjectures 26
% 3.55/1.08 EPR 0
% 3.55/1.08 Horn 8
% 3.55/1.08 unary 4
% 3.55/1.08 binary 20
% 3.55/1.08 lits 61
% 3.55/1.08 lits eq 53
% 3.55/1.08 fd_pure 0
% 3.55/1.08 fd_pseudo 0
% 3.55/1.08 fd_cond 0
% 3.55/1.08 fd_pseudo_cond 0
% 3.55/1.08 AC symbols 0
% 3.55/1.08
% 3.55/1.08 ------ Schedule dynamic 5 is on
% 3.55/1.08
% 3.55/1.08 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.55/1.08
% 3.55/1.08
% 3.55/1.08 ------
% 3.55/1.08 Current options:
% 3.55/1.08 ------
% 3.55/1.08
% 3.55/1.08
% 3.55/1.08
% 3.55/1.08
% 3.55/1.08 ------ Proving...
% 3.55/1.08
% 3.55/1.08
% 3.55/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 3.55/1.08
% 3.55/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.55/1.08
% 3.55/1.09
%------------------------------------------------------------------------------