TSTP Solution File: NUM292+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM292+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 11:29:16 EDT 2023
% Result : Theorem 7.91s 1.68s
% Output : CNFRefutation 7.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 16 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 32 ~; 24 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 5 sgn; 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn2) ).
fof(f14,axiom,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn13) ).
fof(f257,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit1) ).
fof(f278,axiom,
! [X8,X5,X6] :
( rdn_non_zero(X6)
=> rdn_positive_less(rdnn(X8),rdn(rdnn(X5),X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).
fof(f279,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f281,axiom,
! [X0,X1,X9,X10] :
( ( rdn_positive_less(X9,X10)
& rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_pos(X9)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f402,conjecture,
less(n2,n13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n2_less_n13) ).
fof(f403,negated_conjecture,
~ less(n2,n13),
inference(negated_conjecture,[],[f402]) ).
fof(f406,plain,
! [X0,X1,X2] :
( rdn_non_zero(X2)
=> rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
inference(rectify,[],[f278]) ).
fof(f408,plain,
! [X0,X1,X2,X3] :
( ( rdn_positive_less(X2,X3)
& rdn_translate(X1,rdn_pos(X3))
& rdn_translate(X0,rdn_pos(X2)) )
=> less(X0,X1) ),
inference(rectify,[],[f281]) ).
fof(f425,plain,
~ less(n2,n13),
inference(flattening,[],[f403]) ).
fof(f432,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f406]) ).
fof(f433,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f279]) ).
fof(f435,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(ennf_transformation,[],[f408]) ).
fof(f436,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(flattening,[],[f435]) ).
fof(f477,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f488,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(cnf_transformation,[],[f14]) ).
fof(f731,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf_transformation,[],[f257]) ).
fof(f752,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f432]) ).
fof(f753,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(cnf_transformation,[],[f433]) ).
fof(f755,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(cnf_transformation,[],[f436]) ).
fof(f879,plain,
~ less(n2,n13),
inference(cnf_transformation,[],[f425]) ).
cnf(c_51,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f477]) ).
cnf(c_62,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(cnf_transformation,[],[f488]) ).
cnf(c_305,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf_transformation,[],[f731]) ).
cnf(c_326,plain,
( ~ rdn_non_zero(X0)
| rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X0)) ),
inference(cnf_transformation,[],[f752]) ).
cnf(c_327,plain,
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f753]) ).
cnf(c_329,plain,
( ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X2,rdn_pos(X3))
| ~ rdn_positive_less(X1,X3)
| less(X0,X2) ),
inference(cnf_transformation,[],[f755]) ).
cnf(c_453,negated_conjecture,
~ less(n2,n13),
inference(cnf_transformation,[],[f879]) ).
cnf(c_455,plain,
( ~ rdn_non_zero_digit(rdnn(n1))
| rdn_non_zero(rdnn(n1)) ),
inference(instantiation,[status(thm)],[c_327]) ).
cnf(c_6008,plain,
( ~ rdn_translate(n2,rdn_pos(X0))
| ~ rdn_translate(n13,rdn_pos(X1))
| ~ rdn_positive_less(X0,X1) ),
inference(resolution,[status(thm)],[c_329,c_453]) ).
cnf(c_6114,plain,
( ~ rdn_translate(n13,rdn_pos(rdn(rdnn(X0),X1)))
| ~ rdn_translate(n2,rdn_pos(rdnn(X2)))
| ~ rdn_non_zero(X1) ),
inference(resolution,[status(thm)],[c_6008,c_326]) ).
cnf(c_10949,plain,
( ~ rdn_translate(n13,rdn_pos(rdn(rdnn(X0),X1)))
| ~ rdn_non_zero(X1) ),
inference(resolution,[status(thm)],[c_6114,c_51]) ).
cnf(c_10953,plain,
~ rdn_non_zero(rdnn(n1)),
inference(resolution,[status(thm)],[c_10949,c_62]) ).
cnf(c_10954,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10953,c_455,c_305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM292+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n007.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 : Fri Aug 25 13:14:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.91/1.68 % SZS status Started for theBenchmark.p
% 7.91/1.68 % SZS status Theorem for theBenchmark.p
% 7.91/1.68
% 7.91/1.68 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.91/1.68
% 7.91/1.68 ------ iProver source info
% 7.91/1.68
% 7.91/1.68 git: date: 2023-05-31 18:12:56 +0000
% 7.91/1.68 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.91/1.68 git: non_committed_changes: false
% 7.91/1.68 git: last_make_outside_of_git: false
% 7.91/1.68
% 7.91/1.68 ------ Parsing...
% 7.91/1.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.91/1.68
% 7.91/1.68 ------ 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
% 7.91/1.68
% 7.91/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.91/1.68
% 7.91/1.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.91/1.68 ------ Proving...
% 7.91/1.68 ------ Problem Properties
% 7.91/1.68
% 7.91/1.68
% 7.91/1.68 clauses 402
% 7.91/1.68 conjectures 1
% 7.91/1.68 EPR 8
% 7.91/1.68 Horn 400
% 7.91/1.68 unary 376
% 7.91/1.68 binary 6
% 7.91/1.68 lits 472
% 7.91/1.68 lits eq 5
% 7.91/1.68 fd_pure 0
% 7.91/1.68 fd_pseudo 0
% 7.91/1.68 fd_cond 0
% 7.91/1.68 fd_pseudo_cond 5
% 7.91/1.68 AC symbols 0
% 7.91/1.68
% 7.91/1.68 ------ Input Options Time Limit: Unbounded
% 7.91/1.68
% 7.91/1.68
% 7.91/1.68 ------
% 7.91/1.68 Current options:
% 7.91/1.68 ------
% 7.91/1.68
% 7.91/1.68
% 7.91/1.68
% 7.91/1.68
% 7.91/1.68 ------ Proving...
% 7.91/1.68
% 7.91/1.68
% 7.91/1.68 % SZS status Theorem for theBenchmark.p
% 7.91/1.68
% 7.91/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.91/1.68
% 7.91/1.68
%------------------------------------------------------------------------------