TSTP Solution File: RNG008-2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG008-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 : Fri May 3 02:57:13 EDT 2024
% Result : Unsatisfiable 4.02s 1.22s
% Output : CNFRefutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of clauses : 68 ( 47 unt; 0 nHn; 27 RR)
% Number of literals : 109 ( 83 equ; 44 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 150 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X2)
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation1) ).
cnf(c_50,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X2)
| X0 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation2) ).
cnf(c_51,plain,
product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_squared_is_x) ).
cnf(c_52,plain,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(c_53,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
cnf(c_55,plain,
sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
cnf(c_59,plain,
sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',right_inverse) ).
cnf(c_61,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X1,X5,X3)
| sum(X2,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).
cnf(c_62,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).
cnf(c_66,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X6,X0,X3)
| ~ product(X6,X1,X4)
| product(X6,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity2) ).
cnf(c_68,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X0,X6,X3)
| ~ product(X1,X6,X4)
| product(X2,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity4) ).
cnf(c_79,plain,
( add(X0,X1) != X2
| add(X0,X3) != X2
| X1 = X3 ),
inference(well_definedness,[status(thm)],[c_49]) ).
cnf(c_81,plain,
( add(X0,X1) != X2
| add(X3,X1) != X2
| X0 = X3 ),
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_83,plain,
multiply(X0,X0) = X0,
inference(well_definedness,[status(thm)],[c_51]) ).
cnf(c_84,plain,
multiply(a,b) = c,
inference(well_definedness,[status(thm)],[c_52]) ).
cnf(c_85,plain,
multiply(b,a) != c,
inference(well_definedness,[status(thm)],[c_53]) ).
cnf(c_87,plain,
add(X0,additive_identity) = X0,
inference(well_definedness,[status(thm)],[c_55]) ).
cnf(c_91,plain,
add(X0,additive_inverse(X0)) = additive_identity,
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_94,plain,
( add(X0,X1) != X2
| add(X0,X3) != X4
| add(X1,X5) != X3
| add(X2,X5) = X4 ),
inference(well_definedness,[status(thm)],[c_61]) ).
cnf(c_96,plain,
( add(X0,X1) != X2
| add(X1,X0) = X2 ),
inference(well_definedness,[status(thm)],[c_62]) ).
cnf(c_104,plain,
( multiply(X0,X1) != X2
| multiply(X0,X3) != X4
| add(X1,X3) != X5
| add(X2,X4) != X6
| multiply(X0,X5) = X6 ),
inference(well_definedness,[status(thm)],[c_66]) ).
cnf(c_108,plain,
( multiply(X0,X1) != X2
| multiply(X3,X1) != X4
| add(X0,X3) != X5
| add(X2,X4) != X6
| multiply(X5,X1) = X6 ),
inference(well_definedness,[status(thm)],[c_68]) ).
cnf(c_240,plain,
add(X0,X1) = add(X1,X0),
inference(unflattening,[status(thm)],[c_96]) ).
cnf(c_244,plain,
( add(X0,X1) != add(X2,X1)
| X0 = X2 ),
inference(unflattening,[status(thm)],[c_81]) ).
cnf(c_247,plain,
( add(X0,X1) != add(X0,X2)
| X1 = X2 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_254,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_94]) ).
cnf(c_256,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(unflattening,[status(thm)],[c_108]) ).
cnf(c_258,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_104]) ).
cnf(c_403,plain,
add(additive_identity,X0) = X0,
inference(superposition,[status(thm)],[c_87,c_240]) ).
cnf(c_422,plain,
( add(X0,X1) != X1
| X0 = additive_identity ),
inference(superposition,[status(thm)],[c_403,c_244]) ).
cnf(c_424,plain,
( add(X0,additive_inverse(X1)) != additive_identity
| X0 = X1 ),
inference(superposition,[status(thm)],[c_91,c_244]) ).
cnf(c_446,plain,
add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_91,c_254]) ).
cnf(c_450,plain,
add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_254,c_91]) ).
cnf(c_468,plain,
( add(X0,X1) != X0
| X1 = additive_identity ),
inference(superposition,[status(thm)],[c_87,c_247]) ).
cnf(c_469,plain,
( add(X0,X1) != additive_identity
| additive_inverse(X0) = X1 ),
inference(superposition,[status(thm)],[c_91,c_247]) ).
cnf(c_487,plain,
add(multiply(additive_identity,X0),multiply(X1,X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_403,c_256]) ).
cnf(c_489,plain,
add(multiply(X0,X1),multiply(additive_inverse(X0),X1)) = multiply(additive_identity,X1),
inference(superposition,[status(thm)],[c_91,c_256]) ).
cnf(c_586,plain,
add(X0,add(additive_inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_446,c_403]) ).
cnf(c_591,plain,
add(X0,additive_identity) = additive_inverse(additive_inverse(X0)),
inference(superposition,[status(thm)],[c_91,c_586]) ).
cnf(c_608,plain,
additive_inverse(additive_inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_591,c_87]) ).
cnf(c_714,plain,
add(multiply(X0,additive_identity),multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_403,c_258]) ).
cnf(c_716,plain,
add(multiply(X0,X1),multiply(X0,additive_inverse(X1))) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_91,c_258]) ).
cnf(c_850,plain,
( add(X0,add(X1,X2)) != add(X0,X1)
| X2 = additive_identity ),
inference(superposition,[status(thm)],[c_254,c_468]) ).
cnf(c_949,plain,
( add(additive_inverse(X0),X1) != additive_identity
| X0 = X1 ),
inference(superposition,[status(thm)],[c_240,c_424]) ).
cnf(c_1056,plain,
add(X0,additive_inverse(add(X1,X0))) = additive_inverse(X1),
inference(superposition,[status(thm)],[c_450,c_469]) ).
cnf(c_1121,plain,
additive_inverse(add(X0,additive_inverse(X1))) = add(X1,additive_inverse(X0)),
inference(superposition,[status(thm)],[c_1056,c_586]) ).
cnf(c_1297,plain,
multiply(additive_identity,X0) = additive_identity,
inference(superposition,[status(thm)],[c_487,c_422]) ).
cnf(c_1412,plain,
add(additive_inverse(X0),additive_inverse(X1)) = additive_inverse(add(X1,X0)),
inference(superposition,[status(thm)],[c_608,c_1121]) ).
cnf(c_1455,plain,
add(additive_inverse(X0),additive_inverse(X1)) = additive_inverse(add(X0,X1)),
inference(superposition,[status(thm)],[c_240,c_1412]) ).
cnf(c_1676,plain,
multiply(X0,additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_714,c_422]) ).
cnf(c_1967,plain,
add(multiply(X0,X1),multiply(additive_inverse(X0),X1)) = additive_identity,
inference(demodulation,[status(thm)],[c_489,c_1297]) ).
cnf(c_1968,plain,
add(X0,multiply(additive_inverse(X0),X0)) = additive_identity,
inference(superposition,[status(thm)],[c_83,c_1967]) ).
cnf(c_2232,plain,
multiply(additive_inverse(additive_inverse(X0)),additive_inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_1968,c_949]) ).
cnf(c_2237,plain,
multiply(X0,additive_inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2232,c_608]) ).
cnf(c_2318,plain,
multiply(add(X0,X1),add(additive_inverse(X0),additive_inverse(X1))) = add(X0,X1),
inference(superposition,[status(thm)],[c_1455,c_2237]) ).
cnf(c_3559,plain,
add(multiply(X0,X1),multiply(X0,additive_inverse(X1))) = additive_identity,
inference(light_normalisation,[status(thm)],[c_716,c_1676]) ).
cnf(c_3585,plain,
add(multiply(X0,X0),X0) = additive_identity,
inference(superposition,[status(thm)],[c_2237,c_3559]) ).
cnf(c_3611,plain,
add(X0,multiply(X0,X0)) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_3585,c_254,c_240]) ).
cnf(c_3612,plain,
add(X0,X0) = additive_identity,
inference(light_normalisation,[status(thm)],[c_3611,c_83]) ).
cnf(c_3921,plain,
( add(X0,X1) != additive_identity
| X0 = X1 ),
inference(superposition,[status(thm)],[c_3612,c_247]) ).
cnf(c_3932,plain,
additive_inverse(X0) = X0,
inference(superposition,[status(thm)],[c_3612,c_424]) ).
cnf(c_4558,plain,
multiply(add(X0,X1),add(X0,additive_inverse(X1))) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_2318,c_3932]) ).
cnf(c_4559,plain,
add(add(X0,multiply(X0,X1)),add(multiply(X1,X0),X1)) = add(X0,X1),
inference(demodulation,[status(thm)],[c_4558,c_83,c_256,c_258,c_3932]) ).
cnf(c_4560,plain,
add(X0,add(X1,add(multiply(X0,X1),multiply(X1,X0)))) = add(X0,X1),
inference(theory_normalisation,[status(thm)],[c_4559,c_254,c_240]) ).
cnf(c_4625,plain,
add(multiply(X0,X1),multiply(X1,X0)) = additive_identity,
inference(superposition,[status(thm)],[c_4560,c_850]) ).
cnf(c_4786,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_4625,c_3921]) ).
cnf(c_4846,plain,
multiply(a,b) != c,
inference(demodulation,[status(thm)],[c_85,c_4786]) ).
cnf(c_4847,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4846,c_84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG008-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 21:17:16 EDT 2024
% 0.13/0.34 % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.02/1.22 % SZS status Started for theBenchmark.p
% 4.02/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.22
% 4.02/1.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.02/1.22
% 4.02/1.22 ------ iProver source info
% 4.02/1.22
% 4.02/1.22 git: date: 2024-05-02 19:28:25 +0000
% 4.02/1.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.02/1.22 git: non_committed_changes: false
% 4.02/1.22
% 4.02/1.22 ------ Parsing...successful
% 4.02/1.22
% 4.02/1.22
% 4.02/1.22
% 4.02/1.22 ------ Preprocessing... sup_sim: 17 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.02/1.22
% 4.02/1.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.02/1.22
% 4.02/1.22 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.02/1.22 ------ Proving...
% 4.02/1.22 ------ Problem Properties
% 4.02/1.22
% 4.02/1.22
% 4.02/1.22 clauses 12
% 4.02/1.22 conjectures 0
% 4.02/1.22 EPR 0
% 4.02/1.22 Horn 12
% 4.02/1.22 unary 10
% 4.02/1.22 binary 2
% 4.02/1.22 lits 14
% 4.02/1.22 lits eq 14
% 4.02/1.22 fd_pure 0
% 4.02/1.22 fd_pseudo 0
% 4.02/1.22 fd_cond 0
% 4.02/1.22 fd_pseudo_cond 2
% 4.02/1.22 AC symbols 1
% 4.02/1.22
% 4.02/1.22 ------ Schedule dynamic 5 is on
% 4.02/1.22
% 4.02/1.22 ------ no conjectures: strip conj schedule
% 4.02/1.22
% 4.02/1.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.02/1.22
% 4.02/1.22
% 4.02/1.22 ------
% 4.02/1.22 Current options:
% 4.02/1.22 ------
% 4.02/1.22
% 4.02/1.22
% 4.02/1.22
% 4.02/1.22
% 4.02/1.22 ------ Proving...
% 4.02/1.22
% 4.02/1.22
% 4.02/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.22
% 4.02/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.02/1.23
% 4.02/1.23
%------------------------------------------------------------------------------