TSTP Solution File: NUM458+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM458+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 11:30:37 EDT 2023
% Result : Theorem 2.48s 1.15s
% Output : CNFRefutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 33 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 9 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn; 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f20,axiom,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__718) ).
fof(f21,conjecture,
( sdtlseqdt0(xm,xm)
| ? [X0] :
( xm = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f22,negated_conjecture,
~ ( sdtlseqdt0(xm,xm)
| ? [X0] :
( xm = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f32,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f53,plain,
( ~ sdtlseqdt0(xm,xm)
& ! [X0] :
( xm != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f60,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f67,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f90,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f20]) ).
fof(f91,plain,
! [X0] :
( xm != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f60]) ).
cnf(c_57,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f67]) ).
cnf(c_79,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f90]) ).
cnf(c_81,negated_conjecture,
( sdtpldt0(xm,X0) != xm
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_86,plain,
( sdtpldt0(xm,sz00) != xm
| ~ aNaturalNumber0(sz00) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_1462,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_79,c_57]) ).
cnf(c_1463,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1462,c_86,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM458+2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n005.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 : Fri Aug 25 09:16:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.48/1.15 % SZS status Started for theBenchmark.p
% 2.48/1.15 % SZS status Theorem for theBenchmark.p
% 2.48/1.15
% 2.48/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.48/1.15
% 2.48/1.15 ------ iProver source info
% 2.48/1.15
% 2.48/1.15 git: date: 2023-05-31 18:12:56 +0000
% 2.48/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.48/1.15 git: non_committed_changes: false
% 2.48/1.15 git: last_make_outside_of_git: false
% 2.48/1.15
% 2.48/1.15 ------ Parsing...
% 2.48/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.48/1.15
% 2.48/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 2.48/1.15
% 2.48/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.48/1.15
% 2.48/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.48/1.15 ------ Proving...
% 2.48/1.15 ------ Problem Properties
% 2.48/1.15
% 2.48/1.15
% 2.48/1.15 clauses 31
% 2.48/1.15 conjectures 1
% 2.48/1.15 EPR 4
% 2.48/1.15 Horn 28
% 2.48/1.15 unary 4
% 2.48/1.15 binary 7
% 2.48/1.15 lits 96
% 2.48/1.15 lits eq 34
% 2.48/1.15 fd_pure 0
% 2.48/1.15 fd_pseudo 0
% 2.48/1.15 fd_cond 3
% 2.48/1.15 fd_pseudo_cond 4
% 2.48/1.15 AC symbols 0
% 2.48/1.15
% 2.48/1.15 ------ Schedule dynamic 5 is on
% 2.48/1.15
% 2.48/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.48/1.15
% 2.48/1.15
% 2.48/1.15 ------
% 2.48/1.15 Current options:
% 2.48/1.15 ------
% 2.48/1.15
% 2.48/1.15
% 2.48/1.15
% 2.48/1.15
% 2.48/1.15 ------ Proving...
% 2.48/1.15
% 2.48/1.15
% 2.48/1.15 % SZS status Theorem for theBenchmark.p
% 2.48/1.15
% 2.48/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.48/1.15
% 2.48/1.15
%------------------------------------------------------------------------------