TSTP Solution File: NUM315+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM315+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 11:29:22 EDT 2023
% Result : Theorem 20.49s 3.62s
% Output : CNFRefutation 20.49s
% 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 : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 73 ( 0 sgn; 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn2) ).
fof(f133,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn5) ).
fof(f135,axiom,
rdn_translate(nn7,rdn_neg(rdnn(n7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn7) ).
fof(f288,axiom,
! [X0,X1,X2,X9,X10,X11] :
( ( rdn_translate(X2,rdn_neg(X11))
& rdn_add_with_carry(rdnn(n0),X9,X10,X11)
& rdn_translate(X1,rdn_neg(X10))
& rdn_translate(X0,rdn_neg(X9)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_neg_neg) ).
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/sandbox2/benchmark/theBenchmark.p',add_digit_digit_digit) ).
fof(f327,axiom,
rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n5_n7_n0) ).
fof(f372,axiom,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n0_n7_n0) ).
fof(f402,conjecture,
sum(nn2,nn5,nn7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_nn2_nn5_nn7) ).
fof(f403,negated_conjecture,
~ sum(nn2,nn5,nn7),
inference(negated_conjecture,[],[f402]) ).
fof(f412,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X2,rdn_neg(X5))
& rdn_add_with_carry(rdnn(n0),X3,X4,X5)
& rdn_translate(X1,rdn_neg(X4))
& rdn_translate(X0,rdn_neg(X3)) )
=> sum(X0,X1,X2) ),
inference(rectify,[],[f288]) ).
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(nn2,nn5,nn7),
inference(flattening,[],[f403]) ).
fof(f447,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_neg(X3)) ),
inference(ennf_transformation,[],[f412]) ).
fof(f448,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_neg(X3)) ),
inference(flattening,[],[f447]) ).
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(f604,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f130]) ).
fof(f607,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f133]) ).
fof(f609,plain,
rdn_translate(nn7,rdn_neg(rdnn(n7))),
inference(cnf_transformation,[],[f135]) ).
fof(f764,plain,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_neg(X3)) ),
inference(cnf_transformation,[],[f448]) ).
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(f804,plain,
rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f327]) ).
fof(f849,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f372]) ).
fof(f879,plain,
~ sum(nn2,nn5,nn7),
inference(cnf_transformation,[],[f425]) ).
cnf(c_178,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f604]) ).
cnf(c_181,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f607]) ).
cnf(c_183,plain,
rdn_translate(nn7,rdn_neg(rdnn(n7))),
inference(cnf_transformation,[],[f609]) ).
cnf(c_338,plain,
( ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2)
| ~ rdn_translate(X3,rdn_neg(X0))
| ~ rdn_translate(X4,rdn_neg(X2))
| ~ rdn_translate(X5,rdn_neg(X1))
| sum(X3,X5,X4) ),
inference(cnf_transformation,[],[f764]) ).
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_378,plain,
rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f804]) ).
cnf(c_423,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f849]) ).
cnf(c_453,negated_conjecture,
~ sum(nn2,nn5,nn7),
inference(cnf_transformation,[],[f879]) ).
cnf(c_4684,plain,
( ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2)
| ~ rdn_translate(nn2,rdn_neg(X0))
| ~ rdn_translate(nn5,rdn_neg(X1))
| ~ rdn_translate(nn7,rdn_neg(X2))
| sum(nn2,nn5,nn7) ),
inference(instantiation,[status(thm)],[c_338]) ).
cnf(c_4756,plain,
( ~ rdn_add_with_carry(rdnn(n0),X0,X1,rdnn(n7))
| ~ rdn_translate(nn7,rdn_neg(rdnn(n7)))
| ~ rdn_translate(nn2,rdn_neg(X0))
| ~ rdn_translate(nn5,rdn_neg(X1))
| sum(nn2,nn5,nn7) ),
inference(instantiation,[status(thm)],[c_4684]) ).
cnf(c_6366,plain,
( ~ rdn_add_with_carry(rdnn(n0),X0,rdnn(n5),rdnn(n7))
| ~ rdn_translate(nn5,rdn_neg(rdnn(n5)))
| ~ rdn_translate(nn7,rdn_neg(rdnn(n7)))
| ~ rdn_translate(nn2,rdn_neg(X0))
| sum(nn2,nn5,nn7) ),
inference(instantiation,[status(thm)],[c_4756]) ).
cnf(c_31064,plain,
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n5),rdnn(n7))
| ~ rdn_translate(nn2,rdn_neg(rdnn(n2)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(n5)))
| ~ rdn_translate(nn7,rdn_neg(rdnn(n7)))
| sum(nn2,nn5,nn7) ),
inference(instantiation,[status(thm)],[c_6366]) ).
cnf(c_32021,plain,
( ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(n0))
| ~ rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(X0),rdnn(n0))
| rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n5),rdnn(n7)) ),
inference(instantiation,[status(thm)],[c_348]) ).
cnf(c_37643,plain,
( ~ rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0))
| ~ rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0))
| rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n5),rdnn(n7)) ),
inference(instantiation,[status(thm)],[c_32021]) ).
cnf(c_37644,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_37643,c_31064,c_378,c_423,c_178,c_181,c_183,c_453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM315+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n019.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri Aug 25 12:17:14 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 20.49/3.62 % SZS status Started for theBenchmark.p
% 20.49/3.62 % SZS status Theorem for theBenchmark.p
% 20.49/3.62
% 20.49/3.62 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 20.49/3.62
% 20.49/3.62 ------ iProver source info
% 20.49/3.62
% 20.49/3.62 git: date: 2023-05-31 18:12:56 +0000
% 20.49/3.62 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 20.49/3.62 git: non_committed_changes: false
% 20.49/3.62 git: last_make_outside_of_git: false
% 20.49/3.62
% 20.49/3.62 ------ Parsing...
% 20.49/3.62 ------ Clausification by vclausify_rel & Parsing by iProver...
% 20.49/3.62
% 20.49/3.62 ------ 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
% 20.49/3.62
% 20.49/3.62 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.49/3.62
% 20.49/3.62 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 20.49/3.62 ------ Proving...
% 20.49/3.62 ------ Problem Properties
% 20.49/3.62
% 20.49/3.62
% 20.49/3.62 clauses 402
% 20.49/3.62 conjectures 1
% 20.49/3.62 EPR 8
% 20.49/3.62 Horn 400
% 20.49/3.62 unary 376
% 20.49/3.62 binary 6
% 20.49/3.62 lits 472
% 20.49/3.62 lits eq 5
% 20.49/3.62 fd_pure 0
% 20.49/3.62 fd_pseudo 0
% 20.49/3.62 fd_cond 0
% 20.49/3.62 fd_pseudo_cond 5
% 20.49/3.62 AC symbols 0
% 20.49/3.62
% 20.49/3.62 ------ Input Options Time Limit: Unbounded
% 20.49/3.62
% 20.49/3.62
% 20.49/3.62 ------
% 20.49/3.62 Current options:
% 20.49/3.62 ------
% 20.49/3.62
% 20.49/3.62
% 20.49/3.62
% 20.49/3.62
% 20.49/3.62 ------ Proving...
% 20.49/3.62
% 20.49/3.62
% 20.49/3.62 % SZS status Theorem for theBenchmark.p
% 20.49/3.62
% 20.49/3.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.49/3.62
% 20.49/3.62
%------------------------------------------------------------------------------