TSTP Solution File: ARI608_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ARI608_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 : Wed Aug 30 17:41:28 EDT 2023
% Result : Theorem 0.47s 1.16s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 46 ( 19 ~; 9 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 60 ( 60 fml; 0 var)
% Number arithmetic : 48 ( 33 atm; 0 fun; 0 num; 15 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 21 ( 0 sgn; 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
( ( $less(b,c)
& $lesseq(a,b)
& ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) ) )
=> $lesseq(f(a),f(c)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_mon_implies_trans) ).
tff(f2,negated_conjecture,
~ ( ( $less(b,c)
& $lesseq(a,b)
& ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) ) )
=> $lesseq(f(a),f(c)) ),
inference(negated_conjecture,[],[f1]) ).
tff(f3,plain,
~ ( ( $less(b,c)
& ~ $less(b,a)
& ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) ) )
=> ~ $less(f(c),f(a)) ),
inference(theory_normalization,[],[f2]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_146,[]) ).
tff(f16,plain,
( $less(f(c),f(a))
& $less(b,c)
& ~ $less(b,a)
& ! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f17,plain,
( $less(f(c),f(a))
& $less(b,c)
& ~ $less(b,a)
& ! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ) ),
inference(flattening,[],[f16]) ).
tff(f18,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f19,plain,
~ $less(b,a),
inference(cnf_transformation,[],[f17]) ).
tff(f20,plain,
$less(b,c),
inference(cnf_transformation,[],[f17]) ).
tff(f21,plain,
$less(f(c),f(a)),
inference(cnf_transformation,[],[f17]) ).
cnf(c_54,plain,
( ~ $less_int(X0_3,X1_3)
| ~ $less_int(X1_3,X2_3)
| $less_int(X0_3,X2_3) ),
inference(cnf_transformation,[],[f10]) ).
cnf(c_61,negated_conjecture,
$less_int(f(c),f(a)),
inference(cnf_transformation,[],[f21]) ).
cnf(c_62,negated_conjecture,
$less_int(b,c),
inference(cnf_transformation,[],[f20]) ).
cnf(c_63,negated_conjecture,
~ $less_int(b,a),
inference(cnf_transformation,[],[f19]) ).
cnf(c_64,negated_conjecture,
( ~ $less_int(f(X0_3),f(X1_3))
| $less_int(X0_3,X1_3) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_565,plain,
$less_int(c,a),
inference(superposition,[status(thm)],[c_61,c_64]) ).
cnf(c_732,plain,
( ~ $less_int(c,X0_3)
| $less_int(b,X0_3) ),
inference(superposition,[status(thm)],[c_62,c_54]) ).
cnf(c_896,plain,
$less_int(b,a),
inference(superposition,[status(thm)],[c_565,c_732]) ).
cnf(c_902,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_896,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI608_1 : TPTP v8.1.2. Released v5.1.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n027.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 : Tue Aug 29 18:59:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running TFA theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.47/1.16 % SZS status Started for theBenchmark.p
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.16
% 0.47/1.16 ------ iProver source info
% 0.47/1.16
% 0.47/1.16 git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.16 git: non_committed_changes: false
% 0.47/1.16 git: last_make_outside_of_git: false
% 0.47/1.16
% 0.47/1.16 ------ Parsing...
% 0.47/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... sup_sim: 1 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
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.47/1.16 ------ Proving...
% 0.47/1.16 ------ Problem Properties
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 clauses 16
% 0.47/1.16 conjectures 4
% 0.47/1.16 EPR 6
% 0.47/1.16 Horn 14
% 0.47/1.16 unary 11
% 0.47/1.16 binary 3
% 0.47/1.16 lits 23
% 0.47/1.16 lits eq 7
% 0.47/1.16 fd_pure 0
% 0.47/1.16 fd_pseudo 0
% 0.47/1.16 fd_cond 0
% 0.47/1.16 fd_pseudo_cond 1
% 0.47/1.16 AC symbols 1
% 0.47/1.16
% 0.47/1.16 ------ Input Options Time Limit: Unbounded
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------
% 0.47/1.16 Current options:
% 0.47/1.16 ------
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ Proving...
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.16
% 0.47/1.16
%------------------------------------------------------------------------------