TSTP Solution File: GRP313-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP313-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 00:59:16 EDT 2023
% Result : Unsatisfiable 4.02s 1.15s
% Output : CNFRefutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 26
% Syntax : Number of clauses : 166 ( 35 unt; 64 nHn; 141 RR)
% Number of literals : 375 ( 338 equ; 157 neg)
% Maximal clause size : 14 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_69,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_88,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
cnf(c_98,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| multiply(X5,sk_c7) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c7,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| inverse(X5) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
cnf(c_99,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_100,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_101,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_562,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_98]) ).
cnf(c_563,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_98]) ).
cnf(c_564,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_98]) ).
cnf(c_565,negated_conjecture,
( multiply(X0,sk_c7) != sk_c9
| inverse(X0) != sk_c7
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_98]) ).
cnf(c_566,negated_conjecture,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c7,sk_c9) != sk_c8
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_98]) ).
cnf(c_567,plain,
X0 = X0,
theory(equality) ).
cnf(c_568,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_569,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_1090,plain,
( inverse(sk_c4) != sk_c9
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_63,c_562]) ).
cnf(c_1186,plain,
( inverse(sk_c3) != sk_c8
| ~ sP1_iProver_split
| multiply(sk_c7,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_88,c_563]) ).
cnf(c_1192,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c9
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_99,c_563]) ).
cnf(c_1193,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c9 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_563]) ).
cnf(c_1310,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_100,c_101]) ).
cnf(c_1480,plain,
( multiply(sk_c8,sk_c9) != X0
| sk_c7 != X0
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_1484,plain,
( multiply(sk_c8,sk_c9) != X0
| X1 != X0
| multiply(sk_c8,sk_c9) = X1 ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_1485,plain,
( multiply(sk_c8,sk_c9) != multiply(X0,X1)
| sk_c7 != multiply(X0,X1)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1480]) ).
cnf(c_1489,plain,
( multiply(sk_c8,sk_c9) != X0
| sk_c7 != X0
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_1499,plain,
( multiply(X0,X1) != X2
| sk_c7 != X2
| sk_c7 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_1502,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_567]) ).
cnf(c_1503,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_1505,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_1489]) ).
cnf(c_1506,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_567]) ).
cnf(c_1507,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_1511,plain,
( multiply(sk_c8,sk_c9) != X0
| X1 != X0
| X1 = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_1518,plain,
( multiply(sk_c8,sk_c9) != multiply(X0,sk_c9)
| X1 != multiply(X0,sk_c9)
| multiply(sk_c8,sk_c9) = X1 ),
inference(instantiation,[status(thm)],[c_1484]) ).
cnf(c_1524,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1503]) ).
cnf(c_1532,plain,
( multiply(X0,sk_c9) != X1
| X2 != X1
| X2 = multiply(X0,sk_c9) ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_1534,plain,
( X0 != X1
| X2 != sk_c9
| multiply(X0,X2) = multiply(X1,sk_c9) ),
inference(instantiation,[status(thm)],[c_569]) ).
cnf(c_1539,plain,
( multiply(X0,X1) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1499]) ).
cnf(c_1548,plain,
( multiply(identity,sk_c9) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_1524]) ).
cnf(c_1549,plain,
multiply(identity,sk_c9) = sk_c9,
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_1551,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_1557,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1507]) ).
cnf(c_1582,plain,
( multiply(sk_c8,sk_c9) != multiply(X0,sk_c9)
| X1 != multiply(X0,sk_c9)
| X1 = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_1511]) ).
cnf(c_1585,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1310,c_99]) ).
cnf(c_1635,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_99,c_1585]) ).
cnf(c_1636,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_100,c_1585]) ).
cnf(c_1647,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1585,c_1585]) ).
cnf(c_1809,plain,
( multiply(sk_c5,sk_c8) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_1539]) ).
cnf(c_1834,plain,
( multiply(inverse(sk_c9),sk_c9) != identity
| X0 != identity
| X0 = multiply(inverse(sk_c9),sk_c9) ),
inference(instantiation,[status(thm)],[c_1532]) ).
cnf(c_1835,plain,
multiply(inverse(sk_c9),sk_c9) = identity,
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_1836,plain,
( multiply(inverse(sk_c9),sk_c9) != identity
| sk_c8 != identity
| sk_c8 = multiply(inverse(sk_c9),sk_c9) ),
inference(instantiation,[status(thm)],[c_1834]) ).
cnf(c_1882,plain,
( X0 != X1
| sk_c9 != sk_c9
| multiply(X0,sk_c9) = multiply(X1,sk_c9) ),
inference(instantiation,[status(thm)],[c_1534]) ).
cnf(c_1883,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1636,c_1647]) ).
cnf(c_1891,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1883,c_1635]) ).
cnf(c_1899,plain,
( multiply(sk_c8,sk_c9) != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| sk_c9 = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_1582]) ).
cnf(c_1900,plain,
( multiply(sk_c8,sk_c9) != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1518]) ).
cnf(c_1930,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_564]) ).
cnf(c_2014,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_2095,plain,
( multiply(sk_c8,sk_c9) != multiply(sk_c5,sk_c8)
| sk_c7 != multiply(sk_c5,sk_c8)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1485]) ).
cnf(c_2110,plain,
( inverse(identity) != sk_c7
| sk_c9 != sk_c7
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_99,c_565]) ).
cnf(c_2113,plain,
( sk_c9 != sk_c7
| sk_c7 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_2110,c_1891]) ).
cnf(c_2659,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1647,c_100]) ).
cnf(c_2665,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1647,c_1585]) ).
cnf(c_2666,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1647,c_1883]) ).
cnf(c_2667,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2666,c_1883]) ).
cnf(c_2700,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_2667]) ).
cnf(c_2742,plain,
( inverse(sk_c9) = sk_c1
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_2667]) ).
cnf(c_2790,plain,
( multiply(sk_c1,sk_c9) = identity
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_64,c_2659]) ).
cnf(c_2792,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_80,c_2659]) ).
cnf(c_2802,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_2659,c_101]) ).
cnf(c_2970,plain,
( inverse(sk_c8) = sk_c5
| inverse(sk_c9) = sk_c1 ),
inference(superposition,[status(thm)],[c_2742,c_2667]) ).
cnf(c_3003,plain,
( multiply(sk_c8,sk_c9) != sk_c9
| X0 != sk_c9
| multiply(sk_c8,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_1484]) ).
cnf(c_3004,plain,
( multiply(sk_c8,sk_c9) != sk_c9
| sk_c7 != sk_c9
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1480]) ).
cnf(c_3005,plain,
( multiply(sk_c8,sk_c9) != sk_c9
| sk_c8 != sk_c9
| multiply(sk_c8,sk_c9) = sk_c8 ),
inference(instantiation,[status(thm)],[c_3003]) ).
cnf(c_3324,plain,
( X0 != identity
| sk_c9 != sk_c9
| multiply(X0,sk_c9) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_1882]) ).
cnf(c_3326,plain,
( sk_c8 != identity
| sk_c9 != sk_c9
| multiply(sk_c8,sk_c9) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_3324]) ).
cnf(c_3564,plain,
( inverse(sk_c8) = sk_c5
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_2970,c_2667]) ).
cnf(c_3743,plain,
( inverse(sk_c4) = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2790,c_57]) ).
cnf(c_3764,plain,
( multiply(sk_c4,sk_c9) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_3743,c_2659]) ).
cnf(c_3765,plain,
( inverse(sk_c9) = sk_c4
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_3743,c_2667]) ).
cnf(c_3834,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_100,c_101]) ).
cnf(c_4025,plain,
( inverse(sk_c5) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2792,c_73]) ).
cnf(c_4060,plain,
( inverse(sk_c8) = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_4025,c_2667]) ).
cnf(c_4281,plain,
( X0 != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_2014]) ).
cnf(c_5242,plain,
( multiply(sk_c7,multiply(sk_c9,inverse(sk_c8))) = identity
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_53,c_2802]) ).
cnf(c_5868,plain,
( multiply(inverse(sk_c9),sk_c9) != identity
| sk_c9 != identity
| sk_c9 = multiply(inverse(sk_c9),sk_c9) ),
inference(instantiation,[status(thm)],[c_1834]) ).
cnf(c_5869,plain,
( X0 != multiply(inverse(sk_c9),sk_c9)
| sk_c9 != multiply(inverse(sk_c9),sk_c9)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1551]) ).
cnf(c_5874,plain,
( sk_c8 != multiply(inverse(sk_c9),sk_c9)
| sk_c9 != multiply(inverse(sk_c9),sk_c9)
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_5869]) ).
cnf(c_5891,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3834,c_99]) ).
cnf(c_5953,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_5891,c_5891]) ).
cnf(c_7887,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1090,c_64,c_1090]) ).
cnf(c_8564,plain,
( inverse(sk_c1) = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_3764,c_63]) ).
cnf(c_8637,plain,
( inverse(sk_c9) = sk_c1
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_8564,c_2667]) ).
cnf(c_8721,plain,
( sk_c8 != sk_c9
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1192,c_1891]) ).
cnf(c_9025,plain,
( sk_c9 != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c9 = sk_c7 ),
inference(instantiation,[status(thm)],[c_4281]) ).
cnf(c_10109,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_5953,c_100]) ).
cnf(c_10825,plain,
( sk_c8 = identity
| sk_c4 = sk_c1 ),
inference(superposition,[status(thm)],[c_8637,c_3765]) ).
cnf(c_10860,plain,
( multiply(sk_c4,sk_c9) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_10825,c_56]) ).
cnf(c_11034,plain,
sk_c8 = identity,
inference(superposition,[status(thm)],[c_3764,c_10860]) ).
cnf(c_11039,plain,
( sk_c8 != sk_c9
| ~ sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_8721,c_11034]) ).
cnf(c_11079,plain,
( inverse(sk_c1) = sk_c9
| inverse(identity) = sk_c5 ),
inference(demodulation,[status(thm)],[c_3564,c_11034]) ).
cnf(c_11132,plain,
( inverse(identity) = sk_c5
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_4060,c_11034]) ).
cnf(c_11156,plain,
( multiply(sk_c7,sk_c9) != identity
| multiply(identity,sk_c9) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_566,c_11034]) ).
cnf(c_11167,plain,
( multiply(sk_c6,sk_c7) = sk_c9
| multiply(sk_c2,identity) = sk_c7 ),
inference(demodulation,[status(thm)],[c_75,c_11034]) ).
cnf(c_11172,plain,
( multiply(sk_c5,identity) = sk_c7
| multiply(sk_c2,identity) = sk_c7 ),
inference(demodulation,[status(thm)],[c_72,c_11034]) ).
cnf(c_11179,plain,
( multiply(sk_c6,sk_c7) = sk_c9
| multiply(identity,sk_c9) = sk_c7 ),
inference(demodulation,[status(thm)],[c_54,c_11034]) ).
cnf(c_11191,plain,
( multiply(sk_c5,identity) = sk_c7
| inverse(sk_c2) = identity ),
inference(demodulation,[status(thm)],[c_79,c_11034]) ).
cnf(c_11196,plain,
( multiply(sk_c7,sk_c9) = identity
| inverse(sk_c1) = sk_c9 ),
inference(demodulation,[status(thm)],[c_67,c_11034]) ).
cnf(c_11203,plain,
( multiply(identity,sk_c9) = sk_c7
| inverse(sk_c5) = identity ),
inference(demodulation,[status(thm)],[c_52,c_11034]) ).
cnf(c_11388,plain,
( sk_c7 = identity
| sk_c5 = identity ),
inference(light_normalisation,[status(thm)],[c_11132,c_1891]) ).
cnf(c_11497,plain,
( inverse(sk_c1) = sk_c9
| sk_c5 = identity ),
inference(light_normalisation,[status(thm)],[c_11079,c_1891]) ).
cnf(c_11792,plain,
( sk_c9 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_11039,c_11034]) ).
cnf(c_12019,plain,
( inverse(sk_c2) = identity
| sk_c7 = sk_c5 ),
inference(demodulation,[status(thm)],[c_11191,c_1883]) ).
cnf(c_12026,plain,
( inverse(identity) = sk_c2
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_12019,c_2667]) ).
cnf(c_12029,plain,
( sk_c7 = sk_c5
| sk_c2 = identity ),
inference(light_normalisation,[status(thm)],[c_12026,c_1891]) ).
cnf(c_12102,plain,
( multiply(sk_c1,sk_c9) = identity
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_69,c_10109]) ).
cnf(c_12196,plain,
( multiply(sk_c7,multiply(sk_c9,X0)) = multiply(identity,X0)
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_11196,c_101]) ).
cnf(c_12197,plain,
( multiply(sk_c7,multiply(sk_c9,X0)) = X0
| inverse(sk_c1) = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_12196,c_99]) ).
cnf(c_12366,plain,
( inverse(sk_c5) = identity
| sk_c9 = sk_c7 ),
inference(demodulation,[status(thm)],[c_11203,c_99]) ).
cnf(c_12373,plain,
( multiply(sk_c5,multiply(identity,X0)) = X0
| sk_c9 = sk_c7 ),
inference(superposition,[status(thm)],[c_12366,c_2665]) ).
cnf(c_12387,plain,
( multiply(sk_c5,X0) = X0
| sk_c9 = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_12373,c_99]) ).
cnf(c_12390,plain,
( multiply(sk_c5,sk_c8) = sk_c8
| sk_c9 = sk_c7 ),
inference(instantiation,[status(thm)],[c_12387]) ).
cnf(c_12711,plain,
( multiply(sk_c6,sk_c7) = sk_c9
| sk_c7 = sk_c2 ),
inference(demodulation,[status(thm)],[c_11167,c_1883]) ).
cnf(c_12720,plain,
( inverse(sk_c6) != sk_c7
| ~ sP3_iProver_split
| sk_c7 = sk_c2 ),
inference(superposition,[status(thm)],[c_12711,c_565]) ).
cnf(c_12802,plain,
( sk_c7 = sk_c5
| sk_c7 = sk_c2 ),
inference(demodulation,[status(thm)],[c_11172,c_1883]) ).
cnf(c_12809,plain,
( sk_c7 = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_12802,c_12029]) ).
cnf(c_13270,plain,
( multiply(sk_c6,sk_c7) = sk_c9
| sk_c9 = sk_c7 ),
inference(demodulation,[status(thm)],[c_11179,c_99]) ).
cnf(c_13279,plain,
( inverse(sk_c6) != sk_c7
| ~ sP3_iProver_split
| sk_c9 = sk_c7 ),
inference(superposition,[status(thm)],[c_13270,c_565]) ).
cnf(c_14429,plain,
sk_c7 = identity,
inference(superposition,[status(thm)],[c_12809,c_11388]) ).
cnf(c_14625,plain,
~ sP3_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_12720,c_55,c_1502,c_1505,c_1506,c_1548,c_1549,c_1899,c_2113,c_3326,c_9025,c_11034,c_13279,c_14429]) ).
cnf(c_15199,plain,
( multiply(sk_c8,sk_c9) != X0
| multiply(sk_c5,sk_c8) != X0
| multiply(sk_c8,sk_c9) = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_1484]) ).
cnf(c_15200,plain,
( multiply(sk_c8,sk_c9) != sk_c8
| multiply(sk_c5,sk_c8) != sk_c8
| multiply(sk_c8,sk_c9) = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_15199]) ).
cnf(c_15429,plain,
( sk_c9 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1557]) ).
cnf(c_15517,plain,
( multiply(identity,multiply(sk_c9,X0)) = X0
| inverse(sk_c1) = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_12197,c_14429]) ).
cnf(c_15518,plain,
( multiply(sk_c9,X0) = X0
| inverse(sk_c1) = sk_c9 ),
inference(demodulation,[status(thm)],[c_15517,c_99]) ).
cnf(c_15541,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_15518,c_1883]) ).
cnf(c_15803,plain,
( ~ sP1_iProver_split
| multiply(sk_c7,sk_c9) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1186,c_95,c_1186]) ).
cnf(c_15805,plain,
( ~ sP1_iProver_split
| multiply(identity,sk_c9) = identity ),
inference(light_normalisation,[status(thm)],[c_15803,c_11034,c_14429]) ).
cnf(c_15806,plain,
( ~ sP1_iProver_split
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_15805,c_99]) ).
cnf(c_15809,plain,
~ sP1_iProver_split,
inference(forward_subsumption_resolution,[status(thm)],[c_15806,c_11792]) ).
cnf(c_15830,plain,
inverse(sk_c1) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_11497,c_67,c_65,c_55,c_566,c_1193,c_1502,c_1505,c_1506,c_1548,c_1549,c_1809,c_1836,c_1835,c_1900,c_1899,c_1930,c_2095,c_2113,c_2700,c_3004,c_3005,c_3326,c_5868,c_5874,c_7887,c_9025,c_11034,c_12390,c_13279,c_14429,c_15200,c_15429,c_15541]) ).
cnf(c_15840,plain,
multiply(sk_c1,sk_c9) = identity,
inference(superposition,[status(thm)],[c_15830,c_2659]) ).
cnf(c_16844,plain,
multiply(sk_c1,sk_c9) = identity,
inference(global_subsumption_just,[status(thm)],[c_12102,c_15840]) ).
cnf(c_16867,plain,
( inverse(sk_c1) != sk_c9
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_16844,c_562]) ).
cnf(c_17368,plain,
( multiply(identity,multiply(sk_c9,identity)) = identity
| multiply(identity,sk_c9) = identity ),
inference(light_normalisation,[status(thm)],[c_5242,c_1891,c_11034,c_14429]) ).
cnf(c_17369,plain,
sk_c9 = identity,
inference(demodulation,[status(thm)],[c_17368,c_99,c_1883]) ).
cnf(c_18076,plain,
( multiply(identity,sk_c9) != sk_c7
| multiply(sk_c7,sk_c9) != identity
| sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_11156,c_1930,c_2700,c_11034,c_11156,c_14429,c_14625,c_15830,c_16867]) ).
cnf(c_18077,plain,
( multiply(sk_c7,sk_c9) != identity
| multiply(identity,sk_c9) != sk_c7
| sP1_iProver_split ),
inference(renaming,[status(thm)],[c_18076]) ).
cnf(c_18078,plain,
( multiply(identity,identity) != identity
| sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_18077,c_14429,c_17369]) ).
cnf(c_18079,plain,
( identity != identity
| sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_18078,c_99]) ).
cnf(c_18080,plain,
sP1_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_18079]) ).
cnf(c_18081,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_18080,c_15809]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP313-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 21:09:28 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.02/1.15 % SZS status Started for theBenchmark.p
% 4.02/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.15
% 4.02/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.02/1.15
% 4.02/1.15 ------ iProver source info
% 4.02/1.15
% 4.02/1.15 git: date: 2023-05-31 18:12:56 +0000
% 4.02/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.02/1.15 git: non_committed_changes: false
% 4.02/1.15 git: last_make_outside_of_git: false
% 4.02/1.15
% 4.02/1.15 ------ Parsing...successful
% 4.02/1.15
% 4.02/1.15
% 4.02/1.15
% 4.02/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.02/1.15
% 4.02/1.15 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.02/1.15
% 4.02/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.02/1.15 ------ Proving...
% 4.02/1.15 ------ Problem Properties
% 4.02/1.15
% 4.02/1.15
% 4.02/1.15 clauses 57
% 4.02/1.15 conjectures 54
% 4.02/1.15 EPR 0
% 4.02/1.15 Horn 7
% 4.02/1.15 unary 3
% 4.02/1.15 binary 49
% 4.02/1.15 lits 119
% 4.02/1.15 lits eq 111
% 4.02/1.15 fd_pure 0
% 4.02/1.15 fd_pseudo 0
% 4.02/1.15 fd_cond 0
% 4.02/1.15 fd_pseudo_cond 0
% 4.02/1.15 AC symbols 0
% 4.02/1.15
% 4.02/1.15 ------ Schedule dynamic 5 is on
% 4.02/1.15
% 4.02/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.02/1.15
% 4.02/1.15
% 4.02/1.15 ------
% 4.02/1.15 Current options:
% 4.02/1.15 ------
% 4.02/1.15
% 4.02/1.15
% 4.02/1.15
% 4.02/1.15
% 4.02/1.15 ------ Proving...
% 4.02/1.15
% 4.02/1.15
% 4.02/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.15
% 4.02/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.02/1.16
% 4.02/1.16
%------------------------------------------------------------------------------