TSTP Solution File: NUM322+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM322+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 02:48:39 EDT 2024
% Result : Theorem 3.80s 1.15s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 9 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 24 ( 1 sgn 17 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn5) ).
fof(f133,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn5) ).
fof(f291,axiom,
! [X12,X13,X9] :
( ( rdn_translate(X13,rdn_neg(X9))
& rdn_translate(X12,rdn_pos(X9)) )
=> sum(X12,X13,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_posx_negx) ).
fof(f402,conjecture,
? [X0] : sum(n5,nn5,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_n5_nn5_what) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(n5,nn5,X0),
inference(negated_conjecture,[],[f402]) ).
fof(f415,plain,
! [X0,X1,X2] :
( ( rdn_translate(X1,rdn_neg(X2))
& rdn_translate(X0,rdn_pos(X2)) )
=> sum(X0,X1,n0) ),
inference(rectify,[],[f291]) ).
fof(f452,plain,
! [X0,X1,X2] :
( sum(X0,X1,n0)
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(ennf_transformation,[],[f415]) ).
fof(f453,plain,
! [X0,X1,X2] :
( sum(X0,X1,n0)
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(flattening,[],[f452]) ).
fof(f471,plain,
! [X0] : ~ sum(n5,nn5,X0),
inference(ennf_transformation,[],[f403]) ).
fof(f480,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f6]) ).
fof(f607,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f133]) ).
fof(f767,plain,
! [X2,X0,X1] :
( sum(X0,X1,n0)
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(cnf_transformation,[],[f453]) ).
fof(f879,plain,
! [X0] : ~ sum(n5,nn5,X0),
inference(cnf_transformation,[],[f471]) ).
cnf(c_54,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f480]) ).
cnf(c_181,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f607]) ).
cnf(c_341,plain,
( ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X2,rdn_neg(X1))
| sum(X0,X2,n0) ),
inference(cnf_transformation,[],[f767]) ).
cnf(c_453,negated_conjecture,
~ sum(n5,nn5,X0),
inference(cnf_transformation,[],[f879]) ).
cnf(c_5097,plain,
( ~ rdn_translate(X0,rdn_neg(rdnn(n5)))
| sum(n5,X0,n0) ),
inference(superposition,[status(thm)],[c_54,c_341]) ).
cnf(c_5145,plain,
sum(n5,nn5,n0),
inference(superposition,[status(thm)],[c_181,c_5097]) ).
cnf(c_5231,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5145,c_453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM322+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 19:22:18 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.80/1.15 % SZS status Started for theBenchmark.p
% 3.80/1.15 % SZS status Theorem for theBenchmark.p
% 3.80/1.15
% 3.80/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.80/1.15
% 3.80/1.15 ------ iProver source info
% 3.80/1.15
% 3.80/1.15 git: date: 2024-05-02 19:28:25 +0000
% 3.80/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.80/1.15 git: non_committed_changes: false
% 3.80/1.15
% 3.80/1.15 ------ Parsing...
% 3.80/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.80/1.15
% 3.80/1.15 ------ 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
% 3.80/1.15
% 3.80/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.80/1.15
% 3.80/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.80/1.15 ------ Proving...
% 3.80/1.15 ------ Problem Properties
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15 clauses 402
% 3.80/1.15 conjectures 1
% 3.80/1.15 EPR 8
% 3.80/1.15 Horn 400
% 3.80/1.15 unary 376
% 3.80/1.15 binary 6
% 3.80/1.15 lits 472
% 3.80/1.15 lits eq 5
% 3.80/1.15 fd_pure 0
% 3.80/1.15 fd_pseudo 0
% 3.80/1.15 fd_cond 0
% 3.80/1.15 fd_pseudo_cond 5
% 3.80/1.15 AC symbols 0
% 3.80/1.15
% 3.80/1.15 ------ Input Options Time Limit: Unbounded
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15 ------
% 3.80/1.15 Current options:
% 3.80/1.15 ------
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15 ------ Proving...
% 3.80/1.15
% 3.80/1.15
% 3.80/1.15 % SZS status Theorem for theBenchmark.p
% 3.80/1.15
% 3.80/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/1.15
% 3.80/1.15
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