TSTP Solution File: NUM316+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM316+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 02:48:38 EDT 2024
% Result : Theorem 114.86s 16.19s
% Output : CNFRefutation 114.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 57 ( 30 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 156 ( 72 ~; 68 |; 11 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-1 aty)
% Number of variables : 91 ( 0 sgn 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn2) ).
fof(f131,axiom,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn3) ).
fof(f133,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn5) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f269,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less34) ).
fof(f270,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).
fof(f275,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X1),rdnn(X2))
& rdn_positive_less(rdnn(X0),rdnn(X1)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f289,axiom,
! [X0,X1,X2,X9,X10,X11] :
( ( rdn_translate(X2,rdn_neg(X11))
& rdn_add_with_carry(rdnn(n0),X9,X11,X10)
& rdn_positive_less(X9,X10)
& rdn_translate(X1,rdn_neg(X10))
& rdn_translate(X0,rdn_pos(X9)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_pos_neg_1) ).
fof(f297,axiom,
! [X20,X21,X22,X23,X24] :
( ( rdn_digit_add(rdnn(X24),rdnn(X20),rdnn(X23),rdnn(n0))
& rdn_digit_add(rdnn(X21),rdnn(X22),rdnn(X24),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X20),rdnn(X21),rdnn(X22),rdnn(X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_digit_digit_digit) ).
fof(f325,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n3_n5_n0) ).
fof(f352,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n0_n5_n0) ).
fof(f402,conjecture,
sum(n2,nn5,nn3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n2_nn5_nn3) ).
fof(f403,negated_conjecture,
~ sum(n2,nn5,nn3),
inference(negated_conjecture,[],[f402]) ).
fof(f413,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X2,rdn_neg(X5))
& rdn_add_with_carry(rdnn(n0),X3,X5,X4)
& rdn_positive_less(X3,X4)
& rdn_translate(X1,rdn_neg(X4))
& rdn_translate(X0,rdn_pos(X3)) )
=> sum(X0,X1,X2) ),
inference(rectify,[],[f289]) ).
fof(f420,plain,
! [X0,X1,X2,X3,X4] :
( ( rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
& rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
inference(rectify,[],[f297]) ).
fof(f425,plain,
~ sum(n2,nn5,nn3),
inference(flattening,[],[f403]) ).
fof(f427,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(ennf_transformation,[],[f275]) ).
fof(f428,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(flattening,[],[f427]) ).
fof(f449,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(ennf_transformation,[],[f413]) ).
fof(f450,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(flattening,[],[f449]) ).
fof(f463,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(ennf_transformation,[],[f420]) ).
fof(f464,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(flattening,[],[f463]) ).
fof(f477,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f605,plain,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
inference(cnf_transformation,[],[f131]) ).
fof(f607,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f133]) ).
fof(f742,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f743,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f269]) ).
fof(f744,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f270]) ).
fof(f749,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(cnf_transformation,[],[f428]) ).
fof(f765,plain,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(cnf_transformation,[],[f450]) ).
fof(f774,plain,
! [X2,X3,X0,X1,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(cnf_transformation,[],[f464]) ).
fof(f802,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f829,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f879,plain,
~ sum(n2,nn5,nn3),
inference(cnf_transformation,[],[f425]) ).
cnf(c_51,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f477]) ).
cnf(c_179,plain,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
inference(cnf_transformation,[],[f605]) ).
cnf(c_181,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f607]) ).
cnf(c_316,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f742]) ).
cnf(c_317,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f743]) ).
cnf(c_318,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f744]) ).
cnf(c_323,plain,
( ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(cnf_transformation,[],[f749]) ).
cnf(c_339,plain,
( ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2)
| ~ rdn_translate(X3,rdn_pos(X0))
| ~ rdn_translate(X4,rdn_neg(X1))
| ~ rdn_translate(X5,rdn_neg(X2))
| ~ rdn_positive_less(X0,X2)
| sum(X3,X5,X4) ),
inference(cnf_transformation,[],[f765]) ).
cnf(c_348,plain,
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X4),rdnn(n0))
| rdn_add_with_carry(rdnn(X3),rdnn(X0),rdnn(X1),rdnn(X4)) ),
inference(cnf_transformation,[],[f774]) ).
cnf(c_376,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f802]) ).
cnf(c_403,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f829]) ).
cnf(c_453,negated_conjecture,
~ sum(n2,nn5,nn3),
inference(cnf_transformation,[],[f879]) ).
cnf(c_5482,plain,
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))
| ~ rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0))
| rdn_add_with_carry(rdnn(n0),rdnn(X0),rdnn(X1),rdnn(n5)) ),
inference(instantiation,[status(thm)],[c_348]) ).
cnf(c_7532,plain,
( ~ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0))
| ~ rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0))
| rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)) ),
inference(instantiation,[status(thm)],[c_5482]) ).
cnf(c_37018,plain,
( ~ rdn_positive_less(rdnn(X0),rdnn(n3))
| ~ rdn_positive_less(rdnn(n3),rdnn(n4))
| rdn_positive_less(rdnn(X0),rdnn(n4)) ),
inference(instantiation,[status(thm)],[c_323]) ).
cnf(c_37019,plain,
( ~ rdn_positive_less(rdnn(X0),rdnn(n4))
| ~ rdn_positive_less(rdnn(n4),rdnn(n5))
| rdn_positive_less(rdnn(X0),rdnn(n5)) ),
inference(instantiation,[status(thm)],[c_323]) ).
cnf(c_39730,plain,
( ~ rdn_positive_less(rdnn(n2),rdnn(n3))
| ~ rdn_positive_less(rdnn(n3),rdnn(n4))
| rdn_positive_less(rdnn(n2),rdnn(n4)) ),
inference(instantiation,[status(thm)],[c_37018]) ).
cnf(c_39733,plain,
( ~ rdn_positive_less(rdnn(n2),rdnn(n4))
| ~ rdn_positive_less(rdnn(n4),rdnn(n5))
| rdn_positive_less(rdnn(n2),rdnn(n5)) ),
inference(instantiation,[status(thm)],[c_37019]) ).
cnf(c_57331,plain,
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_translate(X0,rdn_pos(rdnn(n2)))
| ~ rdn_translate(X1,rdn_neg(rdnn(n3)))
| ~ rdn_translate(X2,rdn_neg(rdnn(n5)))
| ~ rdn_positive_less(rdnn(n2),rdnn(n5))
| sum(X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_339]) ).
cnf(c_71363,plain,
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_translate(X0,rdn_pos(rdnn(n2)))
| ~ rdn_translate(X1,rdn_neg(rdnn(n3)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(n5)))
| ~ rdn_positive_less(rdnn(n2),rdnn(n5))
| sum(X0,nn5,X1) ),
inference(instantiation,[status(thm)],[c_57331]) ).
cnf(c_82440,plain,
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_translate(X0,rdn_pos(rdnn(n2)))
| ~ rdn_translate(nn3,rdn_neg(rdnn(n3)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(n5)))
| ~ rdn_positive_less(rdnn(n2),rdnn(n5))
| sum(X0,nn5,nn3) ),
inference(instantiation,[status(thm)],[c_71363]) ).
cnf(c_157901,plain,
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_translate(n2,rdn_pos(rdnn(n2)))
| ~ rdn_translate(nn3,rdn_neg(rdnn(n3)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(n5)))
| ~ rdn_positive_less(rdnn(n2),rdnn(n5))
| sum(n2,nn5,nn3) ),
inference(instantiation,[status(thm)],[c_82440]) ).
cnf(c_157902,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_157901,c_39733,c_39730,c_7532,c_376,c_403,c_51,c_179,c_181,c_316,c_317,c_318,c_453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM316+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.10 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n022.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 19:35:57 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 114.86/16.19 % SZS status Started for theBenchmark.p
% 114.86/16.19 % SZS status Theorem for theBenchmark.p
% 114.86/16.19
% 114.86/16.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 114.86/16.19
% 114.86/16.19 ------ iProver source info
% 114.86/16.19
% 114.86/16.19 git: date: 2024-05-02 19:28:25 +0000
% 114.86/16.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 114.86/16.19 git: non_committed_changes: false
% 114.86/16.19
% 114.86/16.19 ------ Parsing...
% 114.86/16.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 114.86/16.19
% 114.86/16.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 114.86/16.19
% 114.86/16.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 114.86/16.19
% 114.86/16.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 114.86/16.19 ------ Proving...
% 114.86/16.19 ------ Problem Properties
% 114.86/16.19
% 114.86/16.19
% 114.86/16.19 clauses 402
% 114.86/16.19 conjectures 1
% 114.86/16.19 EPR 8
% 114.86/16.19 Horn 400
% 114.86/16.19 unary 376
% 114.86/16.19 binary 6
% 114.86/16.19 lits 472
% 114.86/16.19 lits eq 5
% 114.86/16.19 fd_pure 0
% 114.86/16.19 fd_pseudo 0
% 114.86/16.19 fd_cond 0
% 114.86/16.19 fd_pseudo_cond 5
% 114.86/16.19 AC symbols 0
% 114.86/16.19
% 114.86/16.19 ------ Input Options Time Limit: Unbounded
% 114.86/16.19
% 114.86/16.19
% 114.86/16.19 ------
% 114.86/16.19 Current options:
% 114.86/16.19 ------
% 114.86/16.19
% 114.86/16.19
% 114.86/16.19
% 114.86/16.19
% 114.86/16.19 ------ Proving...
% 114.86/16.19
% 114.86/16.19
% 114.86/16.19 % SZS status Theorem for theBenchmark.p
% 114.86/16.19
% 114.86/16.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 114.86/16.19
% 114.86/16.19
%------------------------------------------------------------------------------