TSTP Solution File: RNG001-2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 13:54:33 EDT 2023
% Result : Unsatisfiable 7.73s 1.66s
% Output : CNFRefutation 7.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 30 ( 10 unt; 0 nHn; 26 RR)
% Number of literals : 89 ( 0 equ; 60 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 : 74 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
cnf(c_52,plain,
product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
cnf(c_54,plain,
sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
cnf(c_57,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X1,X5,X3)
| sum(X2,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).
cnf(c_58,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
cnf(c_61,plain,
( ~ sum(X0,X1,X2)
| ~ product(X3,X0,X4)
| ~ product(X3,X1,X5)
| ~ product(X3,X2,X6)
| sum(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
cnf(c_62,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X6,X0,X3)
| ~ product(X6,X1,X4)
| product(X6,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
cnf(c_66,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem) ).
cnf(c_67,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_195,plain,
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X3,additive_identity)
| ~ product(a,X0,X2)
| ~ product(a,X1,X3)
| product(a,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_198,plain,
( ~ sum(X0,multiply(a,X1),additive_identity)
| ~ product(a,X1,multiply(a,X1))
| ~ sum(X2,X1,additive_identity)
| ~ product(a,X2,X0)
| product(a,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_230,plain,
( ~ sum(multiply(a,X0),multiply(a,X1),additive_identity)
| ~ product(a,X0,multiply(a,X0))
| ~ product(a,X1,multiply(a,X1))
| ~ sum(X0,X1,additive_identity)
| product(a,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_198]) ).
cnf(c_231,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_230]) ).
cnf(c_273,plain,
product(a,X0,multiply(a,X0)),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_274,plain,
product(a,additive_identity,multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[c_273]) ).
cnf(c_400,plain,
( ~ sum(X0,X1,multiply(a,X2))
| ~ sum(X1,multiply(a,X3),X4)
| ~ sum(X0,X4,additive_identity)
| sum(multiply(a,X2),multiply(a,X3),additive_identity) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_417,plain,
( ~ product(X0,X1,multiply(a,X2))
| ~ product(X0,X3,multiply(a,X4))
| ~ sum(X1,X3,X5)
| ~ product(X0,X5,X6)
| sum(multiply(a,X2),multiply(a,X4),X6) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_535,plain,
( ~ sum(X0,multiply(X1,X2),X3)
| ~ sum(X4,X0,X5)
| ~ sum(X4,X3,X6)
| sum(X5,multiply(X1,X2),X6) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_744,plain,
( ~ sum(X0,X1,multiply(a,additive_identity))
| sum(X1,X0,multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_992,plain,
( ~ product(a,X0,multiply(a,X1))
| ~ product(a,X2,multiply(a,X3))
| ~ product(a,additive_identity,multiply(a,additive_identity))
| ~ sum(X0,X2,additive_identity)
| sum(multiply(a,X1),multiply(a,X3),multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_417]) ).
cnf(c_993,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_992]) ).
cnf(c_1800,plain,
sum(multiply(a,additive_identity),additive_identity,multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1905,plain,
sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_2183,plain,
( ~ sum(multiply(a,additive_identity),additive_identity,multiply(a,additive_identity))
| sum(additive_identity,multiply(a,additive_identity),multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_744]) ).
cnf(c_3492,plain,
( ~ sum(multiply(a,X0),multiply(a,X1),multiply(a,additive_identity))
| ~ sum(X2,multiply(a,X0),X3)
| ~ sum(X2,multiply(a,additive_identity),X4)
| sum(X3,multiply(a,X1),X4) ),
inference(instantiation,[status(thm)],[c_535]) ).
cnf(c_3520,plain,
( ~ sum(multiply(a,X0),multiply(a,X1),multiply(a,additive_identity))
| ~ sum(X2,multiply(a,X0),multiply(a,X3))
| ~ sum(X2,multiply(a,additive_identity),additive_identity)
| sum(multiply(a,X3),multiply(a,X1),additive_identity) ),
inference(instantiation,[status(thm)],[c_400]) ).
cnf(c_3521,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_3520]) ).
cnf(c_9402,plain,
( ~ sum(multiply(a,X0),multiply(a,X1),multiply(a,additive_identity))
| ~ sum(additive_inverse(multiply(a,additive_identity)),multiply(a,X0),X2)
| ~ sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity)
| sum(X2,multiply(a,X1),additive_identity) ),
inference(instantiation,[status(thm)],[c_3492]) ).
cnf(c_9403,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_9402]) ).
cnf(c_9404,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9403,c_3521,c_2183,c_1905,c_1800,c_993,c_274,c_231,c_66,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n002.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 : Sun Aug 27 02:19:33 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.46 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.73/1.66 % SZS status Started for theBenchmark.p
% 7.73/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.73/1.66
% 7.73/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.73/1.66
% 7.73/1.66 ------ iProver source info
% 7.73/1.66
% 7.73/1.66 git: date: 2023-05-31 18:12:56 +0000
% 7.73/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.73/1.66 git: non_committed_changes: false
% 7.73/1.66 git: last_make_outside_of_git: false
% 7.73/1.66
% 7.73/1.66 ------ Parsing...successful
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 7.73/1.66
% 7.73/1.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.73/1.66 ------ Proving...
% 7.73/1.66 ------ Problem Properties
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66 clauses 18
% 7.73/1.66 conjectures 1
% 7.73/1.66 EPR 14
% 7.73/1.66 Horn 18
% 7.73/1.66 unary 7
% 7.73/1.66 binary 1
% 7.73/1.66 lits 51
% 7.73/1.66 lits eq 0
% 7.73/1.66 fd_pure 0
% 7.73/1.66 fd_pseudo 0
% 7.73/1.66 fd_cond 0
% 7.73/1.66 fd_pseudo_cond 0
% 7.73/1.66 AC symbols 0
% 7.73/1.66
% 7.73/1.66 ------ Input Options Time Limit: Unbounded
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66 ------
% 7.73/1.66 Current options:
% 7.73/1.66 ------
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66 ------ Proving...
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.73/1.66
% 7.73/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.73/1.66
% 7.73/1.66
%------------------------------------------------------------------------------