TSTP Solution File: RNG001-3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG001-3 : TPTP v8.2.0. Released v1.0.0.
% 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 : Mon Jun 24 14:02:55 EDT 2024
% Result : Unsatisfiable 2.99s 1.25s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 33 ( 14 unt; 0 nHn; 25 RR)
% Number of literals : 96 ( 0 equ; 64 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
cnf(c_50,plain,
sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
cnf(c_52,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X1,X5,X3)
| sum(X2,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2) ).
cnf(c_53,plain,
product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
cnf(c_54,plain,
( ~ sum(X0,X1,X2)
| ~ product(X3,X0,X4)
| ~ product(X3,X1,X5)
| ~ product(X3,X2,X6)
| sum(X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
cnf(c_55,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/theBenchmark.p',distributivity2) ).
cnf(c_56,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_times_additive_id_is_additive_id) ).
cnf(c_57,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_105,plain,
( ~ sum(X0_14,X1_14,X2_14)
| ~ sum(X3_14,X4_14,X5_14)
| ~ product(X0_13,X0_14,X3_14)
| ~ product(X0_13,X1_14,X4_14)
| product(X0_13,X2_14,X5_14) ),
inference(subtyping,[status(esa)],[c_55]) ).
cnf(c_106,plain,
( ~ sum(X0_14,X1_14,X2_14)
| ~ product(X0_13,X0_14,X3_14)
| ~ product(X0_13,X1_14,X4_14)
| ~ product(X0_13,X2_14,X5_14)
| sum(X3_14,X4_14,X5_14) ),
inference(subtyping,[status(esa)],[c_54]) ).
cnf(c_107,plain,
product(X0_13,X0_14,multiply(X0_13,X0_14)),
inference(subtyping,[status(esa)],[c_53]) ).
cnf(c_108,plain,
( ~ sum(X0_14,X1_14,X2_14)
| ~ sum(X0_14,X3_14,X4_14)
| ~ sum(X1_14,X5_14,X3_14)
| sum(X2_14,X5_14,X4_14) ),
inference(subtyping,[status(esa)],[c_52]) ).
cnf(c_110,plain,
sum(additive_inverse(X0_14),X0_14,additive_identity),
inference(subtyping,[status(esa)],[c_50]) ).
cnf(c_111,plain,
sum(additive_identity,X0_14,X0_14),
inference(subtyping,[status(esa)],[c_49]) ).
cnf(c_113,plain,
product(a,additive_identity,multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[c_107]) ).
cnf(c_141,plain,
( ~ sum(X0_14,multiply(X0_13,X1_14),X2_14)
| ~ product(X0_13,X1_14,multiply(X0_13,X1_14))
| ~ sum(X3_14,X1_14,X4_14)
| ~ product(X0_13,X3_14,X0_14)
| product(X0_13,X4_14,X2_14) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_142,plain,
( ~ sum(multiply(X0_13,X0_14),multiply(X0_13,X1_14),X2_14)
| ~ product(X0_13,X0_14,multiply(X0_13,X0_14))
| ~ product(X0_13,X1_14,multiply(X0_13,X1_14))
| ~ sum(X0_14,X1_14,X3_14)
| product(X0_13,X3_14,X2_14) ),
inference(instantiation,[status(thm)],[c_141]) ).
cnf(c_143,plain,
( ~ sum(multiply(a,additive_identity),multiply(a,additive_identity),additive_identity)
| ~ product(a,additive_identity,multiply(a,additive_identity))
| ~ sum(additive_identity,additive_identity,additive_identity)
| product(a,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_142]) ).
cnf(c_150,plain,
( ~ product(X0_13,X0_14,multiply(X1_13,X1_14))
| ~ product(X0_13,X2_14,multiply(X1_13,X3_14))
| ~ sum(X0_14,X2_14,X4_14)
| ~ product(X0_13,X4_14,X5_14)
| sum(multiply(X1_13,X1_14),multiply(X1_13,X3_14),X5_14) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_151,plain,
( ~ sum(X0_14,X1_14,multiply(X0_13,X2_14))
| ~ sum(X1_14,multiply(X0_13,X3_14),X4_14)
| ~ sum(X0_14,X4_14,X5_14)
| sum(multiply(X0_13,X2_14),multiply(X0_13,X3_14),X5_14) ),
inference(instantiation,[status(thm)],[c_108]) ).
cnf(c_161,plain,
( ~ product(X0_13,X0_14,multiply(X1_13,X1_14))
| ~ product(X0_13,X2_14,multiply(X1_13,X3_14))
| ~ product(X0_13,X4_14,multiply(X0_13,X4_14))
| ~ sum(X0_14,X2_14,X4_14)
| sum(multiply(X1_13,X1_14),multiply(X1_13,X3_14),multiply(X0_13,X4_14)) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_162,plain,
( ~ product(a,additive_identity,multiply(a,additive_identity))
| ~ sum(additive_identity,additive_identity,additive_identity)
| sum(multiply(a,additive_identity),multiply(a,additive_identity),multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_161]) ).
cnf(c_171,plain,
( ~ sum(X0_14,multiply(X0_13,X1_14),X2_14)
| ~ sum(X3_14,X0_14,X4_14)
| ~ sum(X3_14,X2_14,X5_14)
| sum(X4_14,multiply(X0_13,X1_14),X5_14) ),
inference(instantiation,[status(thm)],[c_108]) ).
cnf(c_175,plain,
sum(additive_inverse(multiply(X0_13,X0_14)),multiply(X0_13,X0_14),additive_identity),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_177,plain,
sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity),
inference(instantiation,[status(thm)],[c_175]) ).
cnf(c_179,plain,
sum(additive_identity,multiply(X0_13,X0_14),multiply(X0_13,X0_14)),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_181,plain,
sum(additive_identity,multiply(a,additive_identity),multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[c_179]) ).
cnf(c_269,plain,
( ~ sum(multiply(X0_13,X0_14),multiply(X0_13,X1_14),multiply(X1_13,X2_14))
| ~ sum(X3_14,multiply(X0_13,X0_14),multiply(X0_13,X4_14))
| ~ sum(X3_14,multiply(X1_13,X2_14),X5_14)
| sum(multiply(X0_13,X4_14),multiply(X0_13,X1_14),X5_14) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_270,plain,
( ~ sum(multiply(a,additive_identity),multiply(a,additive_identity),multiply(a,additive_identity))
| ~ sum(additive_identity,multiply(a,additive_identity),multiply(a,additive_identity))
| ~ sum(additive_identity,multiply(a,additive_identity),additive_identity)
| sum(multiply(a,additive_identity),multiply(a,additive_identity),additive_identity) ),
inference(instantiation,[status(thm)],[c_269]) ).
cnf(c_303,plain,
( ~ sum(multiply(X0_13,X0_14),multiply(X0_13,X1_14),multiply(X1_13,X2_14))
| ~ sum(X3_14,multiply(X0_13,X0_14),X4_14)
| ~ sum(X3_14,multiply(X1_13,X2_14),X5_14)
| sum(X4_14,multiply(X0_13,X1_14),X5_14) ),
inference(instantiation,[status(thm)],[c_171]) ).
cnf(c_583,plain,
( ~ sum(multiply(X0_13,X0_14),multiply(X0_13,X1_14),multiply(X1_13,X2_14))
| ~ sum(additive_inverse(multiply(X1_13,X2_14)),multiply(X0_13,X0_14),X3_14)
| ~ sum(additive_inverse(multiply(X1_13,X2_14)),multiply(X1_13,X2_14),additive_identity)
| sum(X3_14,multiply(X0_13,X1_14),additive_identity) ),
inference(instantiation,[status(thm)],[c_303]) ).
cnf(c_584,plain,
( ~ sum(multiply(a,additive_identity),multiply(a,additive_identity),multiply(a,additive_identity))
| ~ sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity)
| sum(additive_identity,multiply(a,additive_identity),additive_identity) ),
inference(instantiation,[status(thm)],[c_583]) ).
cnf(c_585,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_584,c_270,c_181,c_177,c_162,c_143,c_113,c_56,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : RNG001-3 : TPTP v8.2.0. Released v1.0.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Jun 18 13:42:54 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 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
% 2.99/1.25 % SZS status Started for theBenchmark.p
% 2.99/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 2.99/1.25
% 2.99/1.25 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.99/1.25
% 2.99/1.25 ------ iProver source info
% 2.99/1.25
% 2.99/1.25 git: date: 2024-06-12 09:56:46 +0000
% 2.99/1.25 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.99/1.25 git: non_committed_changes: false
% 2.99/1.25
% 2.99/1.25 ------ Parsing...successful
% 2.99/1.25
% 2.99/1.25
% 2.99/1.25
% 2.99/1.25 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.99/1.25
% 2.99/1.25 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.99/1.25 ------ Proving...
% 2.99/1.25 ------ Problem Properties
% 2.99/1.25
% 2.99/1.25
% 2.99/1.25 clauses 8
% 2.99/1.25 conjectures 1
% 2.99/1.25 EPR 6
% 2.99/1.25 Horn 8
% 2.99/1.25 unary 4
% 2.99/1.25 binary 0
% 2.99/1.25 lits 22
% 2.99/1.25 lits eq 0
% 2.99/1.25 fd_pure 0
% 2.99/1.25 fd_pseudo 0
% 2.99/1.25 fd_cond 0
% 2.99/1.25 fd_pseudo_cond 0
% 2.99/1.25 AC symbols 0
% 2.99/1.25
% 2.99/1.25 ------ Input Options Time Limit: Unbounded
% 2.99/1.25
% 2.99/1.25
% 2.99/1.25 ------
% 2.99/1.25 Current options:
% 2.99/1.25 ------
% 2.99/1.25
% 2.99/1.25
% 2.99/1.25
% 2.99/1.25
% 2.99/1.25 ------ Proving...
% 2.99/1.25
% 2.99/1.25
% 2.99/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 2.99/1.25
% 2.99/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.99/1.25
% 2.99/1.26
%------------------------------------------------------------------------------