TSTP Solution File: GRP374-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP374-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 00:59:35 EDT 2023
% Result : Unsatisfiable 0.47s 1.17s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of clauses : 92 ( 36 unt; 36 nHn; 69 RR)
% Number of literals : 187 ( 159 equ; 76 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_85,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(X0) != sk_c8
| inverse(X1) != sk_c6
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c6
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_434,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_89]) ).
cnf(c_435,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_89]) ).
cnf(c_436,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_89]) ).
cnf(c_437,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(sk_c8) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
cnf(c_861,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_994,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_861,c_86]) ).
cnf(c_1015,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_53,c_994]) ).
cnf(c_1031,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_994]) ).
cnf(c_1032,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_994]) ).
cnf(c_1040,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_994,c_994]) ).
cnf(c_1200,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1032,c_1040]) ).
cnf(c_1208,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1200,c_1031]) ).
cnf(c_1225,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1040,c_87]) ).
cnf(c_1228,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1040,c_994]) ).
cnf(c_1229,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_1040,c_1200]) ).
cnf(c_1230,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1229,c_1200]) ).
cnf(c_1245,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_1230]) ).
cnf(c_1289,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_434]) ).
cnf(c_1388,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_435]) ).
cnf(c_1908,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_2017,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_63,c_1225]) ).
cnf(c_2147,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1228,c_436]) ).
cnf(c_2162,plain,
( sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2147,c_1230]) ).
cnf(c_2829,plain,
( inverse(sk_c3) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2017,c_57]) ).
cnf(c_2867,plain,
( inverse(sk_c8) = sk_c3
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2829,c_1230]) ).
cnf(c_2868,plain,
( multiply(sk_c3,sk_c8) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2829,c_1225]) ).
cnf(c_3114,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1908,c_86]) ).
cnf(c_3151,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_3114]) ).
cnf(c_3152,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_3114]) ).
cnf(c_3160,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3114,c_3114]) ).
cnf(c_3661,plain,
( multiply(sk_c8,sk_c5) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_54,c_1015]) ).
cnf(c_3688,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_3661,c_52]) ).
cnf(c_3729,plain,
( inverse(sk_c7) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_3688,c_1230]) ).
cnf(c_4406,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_3152,c_3160]) ).
cnf(c_4414,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_4406,c_3151]) ).
cnf(c_4463,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_3160,c_87]) ).
cnf(c_4466,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_3160,c_3114]) ).
cnf(c_4467,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_3160,c_4406]) ).
cnf(c_4468,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4467,c_4406]) ).
cnf(c_4847,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_434]) ).
cnf(c_6861,plain,
( inverse(sk_c1) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2868,c_62]) ).
cnf(c_6944,plain,
( inverse(sk_c8) = sk_c1
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_6861,c_1230]) ).
cnf(c_7238,plain,
( multiply(sk_c3,sk_c8) = identity
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_51,c_4463]) ).
cnf(c_7692,plain,
( sk_c7 = identity
| sk_c3 = sk_c1 ),
inference(superposition,[status(thm)],[c_6944,c_2867]) ).
cnf(c_7734,plain,
( inverse(sk_c8) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_7238,c_50]) ).
cnf(c_7782,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_7692,c_56]) ).
cnf(c_8003,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c3 ),
inference(superposition,[status(thm)],[c_51,c_4468]) ).
cnf(c_8004,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c4 ),
inference(superposition,[status(thm)],[c_54,c_4468]) ).
cnf(c_8033,plain,
sk_c7 = identity,
inference(superposition,[status(thm)],[c_7782,c_2868]) ).
cnf(c_8072,plain,
( inverse(identity) = sk_c8
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_3729,c_8033]) ).
cnf(c_8098,plain,
( sk_c8 != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_2162,c_8033]) ).
cnf(c_8279,plain,
sk_c8 = identity,
inference(light_normalisation,[status(thm)],[c_8072,c_1208]) ).
cnf(c_8280,plain,
~ sP2_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_8098,c_8279]) ).
cnf(c_9168,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_4466,c_436]) ).
cnf(c_9183,plain,
( sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_9168,c_4468]) ).
cnf(c_9658,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_9183,c_8280]) ).
cnf(c_9660,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(sk_c8) != sk_c7
| sP0_iProver_split
| sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_437,c_9658]) ).
cnf(c_9732,plain,
sk_c7 = identity,
inference(global_subsumption_just,[status(thm)],[c_7734,c_8033]) ).
cnf(c_9749,plain,
( multiply(sk_c8,sk_c6) = identity
| multiply(sk_c8,identity) = sk_c6 ),
inference(demodulation,[status(thm)],[c_67,c_9732]) ).
cnf(c_9852,plain,
( inverse(sk_c8) = sk_c3
| inverse(sk_c8) = identity ),
inference(light_normalisation,[status(thm)],[c_8003,c_9732]) ).
cnf(c_9948,plain,
( inverse(sk_c8) = sk_c4
| inverse(sk_c8) = identity ),
inference(light_normalisation,[status(thm)],[c_8004,c_9732]) ).
cnf(c_9953,plain,
( inverse(sk_c8) = identity
| sk_c3 = sk_c4 ),
inference(superposition,[status(thm)],[c_9852,c_9948]) ).
cnf(c_17662,plain,
( inverse(identity) = sk_c8
| sk_c3 = sk_c4 ),
inference(superposition,[status(thm)],[c_9953,c_4468]) ).
cnf(c_17666,plain,
( sk_c8 = identity
| sk_c3 = sk_c4 ),
inference(light_normalisation,[status(thm)],[c_17662,c_4414]) ).
cnf(c_17680,plain,
sk_c8 = identity,
inference(global_subsumption_just,[status(thm)],[c_17666,c_8279]) ).
cnf(c_19051,plain,
( multiply(identity,sk_c6) = identity
| multiply(identity,identity) = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_9749,c_17680]) ).
cnf(c_19052,plain,
sk_c6 = identity,
inference(demodulation,[status(thm)],[c_19051,c_86]) ).
cnf(c_19496,plain,
( inverse(inverse(sk_c6)) != sk_c6
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_4847,c_1289,c_8033]) ).
cnf(c_19498,plain,
( identity != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_19496,c_4414,c_19052]) ).
cnf(c_19499,plain,
~ sP0_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_19498]) ).
cnf(c_19826,plain,
( sP0_iProver_split
| inverse(sk_c8) != sk_c7
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_9660,c_437,c_1245,c_1388,c_8280,c_8033]) ).
cnf(c_19827,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(sk_c8) != sk_c7
| sP0_iProver_split ),
inference(renaming,[status(thm)],[c_19826]) ).
cnf(c_19828,plain,
( multiply(identity,identity) != identity
| identity != identity
| sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_19827,c_4414,c_9732,c_17680,c_19052]) ).
cnf(c_19829,plain,
( multiply(identity,identity) != identity
| sP0_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_19828]) ).
cnf(c_19830,plain,
( identity != identity
| sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_19829,c_86]) ).
cnf(c_19831,plain,
sP0_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_19830]) ).
cnf(c_19832,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_19831,c_19499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP374-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 00:21:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.47/1.17 % SZS status Started for theBenchmark.p
% 0.47/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.17
% 0.47/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.17
% 0.47/1.17 ------ iProver source info
% 0.47/1.17
% 0.47/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.17 git: non_committed_changes: false
% 0.47/1.17 git: last_make_outside_of_git: false
% 0.47/1.17
% 0.47/1.17 ------ Parsing...successful
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.47/1.17
% 0.47/1.17 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.17
% 0.47/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.47/1.17 ------ Proving...
% 0.47/1.17 ------ Problem Properties
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 clauses 43
% 0.47/1.17 conjectures 40
% 0.47/1.17 EPR 0
% 0.47/1.17 Horn 6
% 0.47/1.17 unary 3
% 0.47/1.17 binary 36
% 0.47/1.17 lits 90
% 0.47/1.17 lits eq 84
% 0.47/1.17 fd_pure 0
% 0.47/1.17 fd_pseudo 0
% 0.47/1.17 fd_cond 0
% 0.47/1.17 fd_pseudo_cond 0
% 0.47/1.17 AC symbols 0
% 0.47/1.17
% 0.47/1.17 ------ Schedule dynamic 5 is on
% 0.47/1.17
% 0.47/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 ------
% 0.47/1.17 Current options:
% 0.47/1.17 ------
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 ------ Proving...
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.17
% 0.47/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.17
% 0.47/1.17
%------------------------------------------------------------------------------