TSTP Solution File: NUM514+3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : Fri May 3 02:49:40 EDT 2024
% Result : Theorem 4.32s 1.24s
% Output : CNFRefutation 4.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 37 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 37 ( 14 ~; 7 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,axiom,
( sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xk = sdtasdt0(xr,sdtsldt0(xk,xr))
& aNaturalNumber0(sdtsldt0(xk,xr)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2613) ).
fof(f56,conjecture,
( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ? [X0] :
( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ? [X0] :
( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm)
& aNaturalNumber0(X0) ) ) ),
inference(negated_conjecture,[],[f56]) ).
fof(f141,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f142,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(flattening,[],[f141]) ).
fof(f356,plain,
aNaturalNumber0(sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f360,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f363,plain,
! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_203,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f360]) ).
cnf(c_207,plain,
aNaturalNumber0(sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f356]) ).
cnf(c_209,negated_conjecture,
( sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_1270,plain,
( sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_209,c_203]) ).
cnf(c_11230,plain,
~ aNaturalNumber0(sdtsldt0(xk,xr)),
inference(equality_resolution,[status(thm)],[c_1270]) ).
cnf(c_11231,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11230,c_207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 19:44:29 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 4.32/1.24 % SZS status Started for theBenchmark.p
% 4.32/1.24 % SZS status Theorem for theBenchmark.p
% 4.32/1.24
% 4.32/1.24 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.32/1.24
% 4.32/1.24 ------ iProver source info
% 4.32/1.24
% 4.32/1.24 git: date: 2024-05-02 19:28:25 +0000
% 4.32/1.24 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.32/1.24 git: non_committed_changes: false
% 4.32/1.24
% 4.32/1.24 ------ Parsing...
% 4.32/1.24 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.32/1.24
% 4.32/1.24 ------ Preprocessing... sup_sim: 11 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.32/1.24
% 4.32/1.24 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.32/1.24
% 4.32/1.24 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.32/1.24 ------ Proving...
% 4.32/1.24 ------ Problem Properties
% 4.32/1.24
% 4.32/1.24
% 4.32/1.24 clauses 149
% 4.32/1.24 conjectures 2
% 4.32/1.24 EPR 55
% 4.32/1.24 Horn 106
% 4.32/1.24 unary 64
% 4.32/1.24 binary 19
% 4.32/1.24 lits 426
% 4.32/1.24 lits eq 136
% 4.32/1.24 fd_pure 0
% 4.32/1.24 fd_pseudo 0
% 4.32/1.24 fd_cond 24
% 4.32/1.24 fd_pseudo_cond 11
% 4.32/1.24 AC symbols 0
% 4.32/1.24
% 4.32/1.24 ------ Schedule dynamic 5 is on
% 4.32/1.24
% 4.32/1.24 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.32/1.24
% 4.32/1.24
% 4.32/1.24 ------
% 4.32/1.24 Current options:
% 4.32/1.24 ------
% 4.32/1.24
% 4.32/1.24
% 4.32/1.24
% 4.32/1.24
% 4.32/1.24 ------ Proving...
% 4.32/1.24
% 4.32/1.24
% 4.32/1.24 % SZS status Theorem for theBenchmark.p
% 4.32/1.24
% 4.32/1.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.32/1.24
% 4.32/1.24
%------------------------------------------------------------------------------