TSTP Solution File: GRP336-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP336-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 00:59:23 EDT 2023
% Result : Unsatisfiable 0.43s 1.12s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 17
% Syntax : Number of clauses : 86 ( 22 unt; 43 nHn; 71 RR)
% Number of literals : 190 ( 164 equ; 79 neg)
% Maximal clause size : 14 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 40 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c5) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c9
| multiply(sk_c2,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_97,negated_conjecture,
( multiply(X0,X1) != sk_c9
| multiply(X2,X3) != sk_c9
| multiply(X1,sk_c10) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,sk_c9) != sk_c10
| multiply(X5,sk_c10) != sk_c9
| multiply(X6,sk_c9) != sk_c10
| multiply(sk_c9,sk_c10) != sk_c8
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X4) != sk_c10
| inverse(X5) != sk_c10
| inverse(X6) != sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
cnf(c_98,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_99,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_100,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_101,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(X1,inverse(X1)) != sk_c9
| multiply(inverse(X0),sk_c10) != sk_c9
| multiply(inverse(X1),sk_c8) != sk_c9
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c9) != sk_c10
| multiply(sk_c9,sk_c10) != sk_c8
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(X2) != sk_c10
| inverse(X3) != sk_c10
| inverse(X4) != sk_c10 ),
inference(unflattening,[status(thm)],[c_97]) ).
cnf(c_546,negated_conjecture,
( multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c10
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_101]) ).
cnf(c_547,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_101]) ).
cnf(c_548,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c8) != sk_c9
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_101]) ).
cnf(c_549,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c10) != sk_c9
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_101]) ).
cnf(c_550,negated_conjecture,
( multiply(sk_c9,sk_c10) != sk_c8
| multiply(sk_c10,sk_c8) != sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_101]) ).
cnf(c_1054,plain,
( inverse(sk_c5) != sk_c10
| ~ sP0_iProver_split
| multiply(sk_c1,sk_c9) = sk_c10 ),
inference(superposition,[status(thm)],[c_69,c_546]) ).
cnf(c_1057,plain,
( inverse(sk_c5) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_61,c_546]) ).
cnf(c_1061,plain,
( inverse(sk_c1) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c5) = sk_c10 ),
inference(superposition,[status(thm)],[c_68,c_546]) ).
cnf(c_1124,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c9 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_99,c_547]) ).
cnf(c_1256,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_99,c_100]) ).
cnf(c_1434,plain,
( multiply(sk_c1,sk_c9) != sk_c10
| inverse(sk_c1) != sk_c10
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_546]) ).
cnf(c_1494,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1256,c_98]) ).
cnf(c_1510,plain,
( multiply(inverse(sk_c10),sk_c9) = sk_c8
| multiply(sk_c9,sk_c10) = sk_c8 ),
inference(superposition,[status(thm)],[c_51,c_1494]) ).
cnf(c_1518,plain,
( multiply(inverse(sk_c5),sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_61,c_1494]) ).
cnf(c_1530,plain,
( multiply(inverse(sk_c1),sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(superposition,[status(thm)],[c_67,c_1494]) ).
cnf(c_1544,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_99,c_1494]) ).
cnf(c_1552,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1494,c_1494]) ).
cnf(c_1734,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1544,c_1552]) ).
cnf(c_1771,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1552,c_99]) ).
cnf(c_1775,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1552,c_1734]) ).
cnf(c_1776,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1775,c_1734]) ).
cnf(c_1799,plain,
( multiply(inverse(X0),sk_c8) != sk_c9
| sk_c9 != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_548,c_1771]) ).
cnf(c_1804,plain,
inverse(inverse(sk_c10)) = sk_c10,
inference(instantiation,[status(thm)],[c_1776]) ).
cnf(c_1979,plain,
( multiply(inverse(X0),sk_c10) != sk_c9
| sk_c9 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_549,c_1771]) ).
cnf(c_1986,plain,
( sk_c9 != identity
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_99,c_1979]) ).
cnf(c_2405,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_82,c_1771]) ).
cnf(c_2655,plain,
( inverse(sk_c2) = sk_c3
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2405,c_81]) ).
cnf(c_2675,plain,
( multiply(sk_c2,sk_c3) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2655,c_1771]) ).
cnf(c_3842,plain,
( multiply(sk_c10,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_60,c_1518]) ).
cnf(c_4863,plain,
( inverse(sk_c6) = sk_c7
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2675,c_79]) ).
cnf(c_4888,plain,
( multiply(sk_c6,sk_c7) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_4863,c_1771]) ).
cnf(c_6269,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1057,c_60,c_1061,c_1057,c_1054,c_1434]) ).
cnf(c_6271,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_6269,c_1061,c_1054,c_1434,c_6269]) ).
cnf(c_6273,plain,
( multiply(sk_c9,sk_c10) != sk_c8
| multiply(sk_c10,sk_c8) != sk_c9
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_550,c_6271]) ).
cnf(c_6892,plain,
( multiply(sk_c2,sk_c3) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_4888,c_78]) ).
cnf(c_6953,plain,
sk_c9 = identity,
inference(superposition,[status(thm)],[c_2675,c_6892]) ).
cnf(c_6957,plain,
~ sP3_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_1986,c_6953]) ).
cnf(c_6978,plain,
( multiply(sk_c10,sk_c10) = identity
| inverse(sk_c1) = sk_c10 ),
inference(demodulation,[status(thm)],[c_3842,c_6953]) ).
cnf(c_7012,plain,
( multiply(sk_c5,identity) = sk_c10
| multiply(identity,sk_c10) = sk_c8 ),
inference(demodulation,[status(thm)],[c_53,c_6953]) ).
cnf(c_7035,plain,
( multiply(identity,sk_c10) = sk_c8
| inverse(sk_c5) = sk_c10 ),
inference(demodulation,[status(thm)],[c_52,c_6953]) ).
cnf(c_7036,plain,
( multiply(identity,sk_c10) = sk_c8
| inverse(sk_c4) = sk_c10 ),
inference(demodulation,[status(thm)],[c_50,c_6953]) ).
cnf(c_7698,plain,
( inverse(sk_c5) = sk_c10
| sk_c10 = sk_c8 ),
inference(demodulation,[status(thm)],[c_7035,c_98]) ).
cnf(c_7706,plain,
( inverse(sk_c10) = sk_c5
| sk_c10 = sk_c8 ),
inference(superposition,[status(thm)],[c_7698,c_1776]) ).
cnf(c_7739,plain,
( inverse(sk_c4) = sk_c10
| sk_c10 = sk_c8 ),
inference(demodulation,[status(thm)],[c_7036,c_98]) ).
cnf(c_7746,plain,
( inverse(sk_c10) = sk_c4
| sk_c10 = sk_c8 ),
inference(superposition,[status(thm)],[c_7739,c_1776]) ).
cnf(c_8073,plain,
( sk_c10 = sk_c8
| sk_c4 = sk_c5 ),
inference(superposition,[status(thm)],[c_7746,c_7706]) ).
cnf(c_8525,plain,
( sk_c10 = sk_c8
| sk_c10 = sk_c5 ),
inference(demodulation,[status(thm)],[c_7012,c_98,c_1734]) ).
cnf(c_8532,plain,
( sk_c10 = sk_c8
| sk_c10 = sk_c4 ),
inference(superposition,[status(thm)],[c_8525,c_8073]) ).
cnf(c_8741,plain,
( multiply(inverse(sk_c10),identity) = sk_c8
| multiply(identity,sk_c10) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_1510,c_6953]) ).
cnf(c_8742,plain,
( inverse(sk_c10) = sk_c8
| sk_c10 = sk_c8 ),
inference(demodulation,[status(thm)],[c_8741,c_98,c_1734]) ).
cnf(c_8760,plain,
( sk_c10 = sk_c8
| sk_c8 = sk_c4 ),
inference(superposition,[status(thm)],[c_8742,c_7746]) ).
cnf(c_8875,plain,
sk_c10 = sk_c8,
inference(superposition,[status(thm)],[c_8760,c_8532]) ).
cnf(c_9128,plain,
( multiply(inverse(sk_c1),sk_c10) = identity
| multiply(sk_c10,sk_c10) = identity ),
inference(light_normalisation,[status(thm)],[c_1530,c_6953,c_8875]) ).
cnf(c_9139,plain,
( multiply(inverse(sk_c1),multiply(sk_c10,X0)) = multiply(identity,X0)
| multiply(sk_c10,sk_c10) = identity ),
inference(superposition,[status(thm)],[c_9128,c_100]) ).
cnf(c_9155,plain,
( multiply(inverse(sk_c1),multiply(sk_c10,X0)) = X0
| multiply(sk_c10,sk_c10) = identity ),
inference(light_normalisation,[status(thm)],[c_9139,c_98]) ).
cnf(c_17670,plain,
( multiply(inverse(X0),sk_c8) != sk_c9
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1799,c_1799,c_6953]) ).
cnf(c_17673,plain,
( multiply(inverse(X0),sk_c10) != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_17670,c_6953,c_8875]) ).
cnf(c_17678,plain,
~ sP2_iProver_split,
inference(superposition,[status(thm)],[c_99,c_17673]) ).
cnf(c_21173,plain,
( multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_6273,c_550,c_1124,c_1804,c_6271,c_6957,c_6953,c_17678]) ).
cnf(c_21174,plain,
( multiply(sk_c9,sk_c10) != sk_c8
| multiply(sk_c10,sk_c8) != sk_c9 ),
inference(renaming,[status(thm)],[c_21173]) ).
cnf(c_21175,plain,
( multiply(sk_c10,sk_c10) != identity
| multiply(identity,sk_c10) != sk_c10 ),
inference(light_normalisation,[status(thm)],[c_21174,c_6953,c_8875]) ).
cnf(c_21176,plain,
( multiply(sk_c10,sk_c10) != identity
| sk_c10 != sk_c10 ),
inference(demodulation,[status(thm)],[c_21175,c_98]) ).
cnf(c_21177,plain,
multiply(sk_c10,sk_c10) != identity,
inference(equality_resolution_simp,[status(thm)],[c_21176]) ).
cnf(c_21190,plain,
inverse(sk_c1) = sk_c10,
inference(backward_subsumption_resolution,[status(thm)],[c_6978,c_21177]) ).
cnf(c_21492,plain,
( multiply(sk_c10,multiply(sk_c10,X0)) = X0
| multiply(sk_c10,sk_c10) = identity ),
inference(light_normalisation,[status(thm)],[c_9155,c_21190]) ).
cnf(c_21493,plain,
multiply(sk_c10,multiply(sk_c10,X0)) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_21492,c_21177]) ).
cnf(c_21495,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm)],[c_1734,c_21493]) ).
cnf(c_21499,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_21495,c_21177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP336-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 21:19:55 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.42 Running first-order theorem proving
% 0.19/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.43/1.12 % SZS status Started for theBenchmark.p
% 0.43/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.12
% 0.43/1.12 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.43/1.12
% 0.43/1.12 ------ iProver source info
% 0.43/1.12
% 0.43/1.12 git: date: 2023-05-31 18:12:56 +0000
% 0.43/1.12 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.43/1.12 git: non_committed_changes: false
% 0.43/1.12 git: last_make_outside_of_git: false
% 0.43/1.12
% 0.43/1.12 ------ Parsing...successful
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.43/1.12
% 0.43/1.12 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.43/1.12
% 0.43/1.12 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.43/1.12 ------ Proving...
% 0.43/1.12 ------ Problem Properties
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 clauses 56
% 0.43/1.12 conjectures 53
% 0.43/1.12 EPR 0
% 0.43/1.12 Horn 7
% 0.43/1.12 unary 3
% 0.43/1.12 binary 48
% 0.43/1.12 lits 117
% 0.43/1.12 lits eq 109
% 0.43/1.12 fd_pure 0
% 0.43/1.12 fd_pseudo 0
% 0.43/1.12 fd_cond 0
% 0.43/1.12 fd_pseudo_cond 0
% 0.43/1.12 AC symbols 0
% 0.43/1.12
% 0.43/1.12 ------ Schedule dynamic 5 is on
% 0.43/1.12
% 0.43/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 ------
% 0.43/1.12 Current options:
% 0.43/1.12 ------
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 ------ Proving...
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.12
% 0.43/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.12
% 0.43/1.12
%------------------------------------------------------------------------------