TSTP Solution File: NUM305+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM305+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 11:29:20 EDT 2023
% Result : Theorem 20.27s 3.57s
% Output : CNFRefutation 20.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 21 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 104 ( 48 ~; 44 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 73 ( 0 sgn; 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn2) ).
fof(f4,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn3) ).
fof(f6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn5) ).
fof(f287,axiom,
! [X0,X1,X2,X9,X10,X11] :
( ( rdn_translate(X2,rdn_pos(X11))
& rdn_add_with_carry(rdnn(n0),X9,X10,X11)
& rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_pos(X9)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).
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,n3,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n2_n3_n5) ).
fof(f403,negated_conjecture,
~ sum(n2,n3,n5),
inference(negated_conjecture,[],[f402]) ).
fof(f411,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X2,rdn_pos(X5))
& rdn_add_with_carry(rdnn(n0),X3,X4,X5)
& rdn_translate(X1,rdn_pos(X4))
& rdn_translate(X0,rdn_pos(X3)) )
=> sum(X0,X1,X2) ),
inference(rectify,[],[f287]) ).
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,n3,n5),
inference(flattening,[],[f403]) ).
fof(f445,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(ennf_transformation,[],[f411]) ).
fof(f446,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(flattening,[],[f445]) ).
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(f478,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f4]) ).
fof(f480,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f6]) ).
fof(f763,plain,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(cnf_transformation,[],[f446]) ).
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,n3,n5),
inference(cnf_transformation,[],[f425]) ).
cnf(c_51,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f477]) ).
cnf(c_52,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f478]) ).
cnf(c_54,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f480]) ).
cnf(c_337,plain,
( ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2)
| ~ rdn_translate(X3,rdn_pos(X0))
| ~ rdn_translate(X4,rdn_pos(X2))
| ~ rdn_translate(X5,rdn_pos(X1))
| sum(X3,X5,X4) ),
inference(cnf_transformation,[],[f763]) ).
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,n3,n5),
inference(cnf_transformation,[],[f879]) ).
cnf(c_4683,plain,
( ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2)
| ~ rdn_translate(n2,rdn_pos(X0))
| ~ rdn_translate(n3,rdn_pos(X1))
| ~ rdn_translate(n5,rdn_pos(X2))
| sum(n2,n3,n5) ),
inference(instantiation,[status(thm)],[c_337]) ).
cnf(c_4743,plain,
( ~ rdn_add_with_carry(rdnn(n0),X0,X1,rdnn(n5))
| ~ rdn_translate(n5,rdn_pos(rdnn(n5)))
| ~ rdn_translate(n2,rdn_pos(X0))
| ~ rdn_translate(n3,rdn_pos(X1))
| sum(n2,n3,n5) ),
inference(instantiation,[status(thm)],[c_4683]) ).
cnf(c_6366,plain,
( ~ rdn_add_with_carry(rdnn(n0),X0,rdnn(n3),rdnn(n5))
| ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
| ~ rdn_translate(n5,rdn_pos(rdnn(n5)))
| ~ rdn_translate(n2,rdn_pos(X0))
| sum(n2,n3,n5) ),
inference(instantiation,[status(thm)],[c_4743]) ).
cnf(c_26400,plain,
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_translate(n2,rdn_pos(rdnn(n2)))
| ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
| ~ rdn_translate(n5,rdn_pos(rdnn(n5)))
| sum(n2,n3,n5) ),
inference(instantiation,[status(thm)],[c_6366]) ).
cnf(c_29102,plain,
( ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n5),rdnn(n0))
| ~ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(X0),rdnn(n0))
| rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)) ),
inference(instantiation,[status(thm)],[c_348]) ).
cnf(c_33819,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_29102]) ).
cnf(c_33820,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_33819,c_26400,c_376,c_403,c_51,c_52,c_54,c_453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : NUM305+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.10 % Command : run_iprover %s %d THM
% 0.10/0.30 % Computer : n024.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Aug 25 14:31:09 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.27/3.57 % SZS status Started for theBenchmark.p
% 20.27/3.57 % SZS status Theorem for theBenchmark.p
% 20.27/3.57
% 20.27/3.57 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 20.27/3.57
% 20.27/3.57 ------ iProver source info
% 20.27/3.57
% 20.27/3.57 git: date: 2023-05-31 18:12:56 +0000
% 20.27/3.57 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 20.27/3.57 git: non_committed_changes: false
% 20.27/3.57 git: last_make_outside_of_git: false
% 20.27/3.57
% 20.27/3.57 ------ Parsing...
% 20.27/3.57 ------ Clausification by vclausify_rel & Parsing by iProver...
% 20.27/3.57
% 20.27/3.57 ------ 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
% 20.27/3.57
% 20.27/3.57 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.27/3.57
% 20.27/3.57 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 20.27/3.57 ------ Proving...
% 20.27/3.57 ------ Problem Properties
% 20.27/3.57
% 20.27/3.57
% 20.27/3.57 clauses 402
% 20.27/3.57 conjectures 1
% 20.27/3.57 EPR 8
% 20.27/3.57 Horn 400
% 20.27/3.57 unary 376
% 20.27/3.57 binary 6
% 20.27/3.57 lits 472
% 20.27/3.57 lits eq 5
% 20.27/3.57 fd_pure 0
% 20.27/3.57 fd_pseudo 0
% 20.27/3.57 fd_cond 0
% 20.27/3.57 fd_pseudo_cond 5
% 20.27/3.57 AC symbols 0
% 20.27/3.57
% 20.27/3.57 ------ Input Options Time Limit: Unbounded
% 20.27/3.57
% 20.27/3.57
% 20.27/3.57 ------
% 20.27/3.57 Current options:
% 20.27/3.57 ------
% 20.27/3.57
% 20.27/3.57
% 20.27/3.57
% 20.27/3.57
% 20.27/3.57 ------ Proving...
% 20.27/3.57
% 20.27/3.57
% 20.27/3.57 % SZS status Theorem for theBenchmark.p
% 20.27/3.57
% 20.27/3.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.27/3.57
% 20.27/3.58
%------------------------------------------------------------------------------