TSTP Solution File: NUM303+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM303+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 02:48:36 EDT 2024
% Result : Theorem 8.06s 1.62s
% Output : CNFRefutation 8.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 19 unt; 0 def)
% Number of atoms : 78 ( 10 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 81 ( 40 ~; 27 |; 9 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 66 ( 7 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn21) ).
fof(f32,axiom,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn31) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f276,axiom,
! [X3,X4,X5,X6] :
( rdn_positive_less(X4,X6)
=> rdn_positive_less(rdn(rdnn(X3),X4),rdn(rdnn(X5),X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).
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/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f284,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( X0 != X1
& ~ less(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(f402,conjecture,
n21 != n31,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n31_not_n12) ).
fof(f403,negated_conjecture,
~ ( n21 != n31 ),
inference(negated_conjecture,[],[f402]) ).
fof(f404,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(X1,X3)
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
inference(rectify,[],[f276]) ).
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,
n21 = n31,
inference(flattening,[],[f403]) ).
fof(f429,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f404]) ).
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(f472,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f473,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f472]) ).
fof(f496,plain,
rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
inference(cnf_transformation,[],[f22]) ).
fof(f506,plain,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
inference(cnf_transformation,[],[f32]) ).
fof(f742,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f750,plain,
! [X2,X3,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(cnf_transformation,[],[f429]) ).
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(f759,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f473]) ).
fof(f879,plain,
n21 = n31,
inference(cnf_transformation,[],[f425]) ).
fof(f880,plain,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
inference(definition_unfolding,[],[f496,f879]) ).
fof(f881,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f759]) ).
cnf(c_70,negated_conjecture,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
inference(cnf_transformation,[],[f880]) ).
cnf(c_80,plain,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
inference(cnf_transformation,[],[f506]) ).
cnf(c_316,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f742]) ).
cnf(c_324,plain,
( ~ rdn_positive_less(X0,X1)
| rdn_positive_less(rdn(rdnn(X2),X0),rdn(rdnn(X3),X1)) ),
inference(cnf_transformation,[],[f750]) ).
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_333,plain,
~ less(X0,X0),
inference(cnf_transformation,[],[f881]) ).
cnf(c_5041,plain,
( ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_positive_less(X1,X2) ),
inference(resolution,[status(thm)],[c_329,c_333]) ).
cnf(c_5069,plain,
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X3),X4)))
| ~ rdn_positive_less(X2,X4) ),
inference(resolution,[status(thm)],[c_5041,c_324]) ).
cnf(c_5119,plain,
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n3))))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X2),rdnn(n2)))) ),
inference(resolution,[status(thm)],[c_5069,c_316]) ).
cnf(c_5240,plain,
~ rdn_translate(n31,rdn_pos(rdn(rdnn(X0),rdnn(n3)))),
inference(resolution,[status(thm)],[c_5119,c_70]) ).
cnf(c_5241,plain,
~ rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
inference(instantiation,[status(thm)],[c_5240]) ).
cnf(c_5242,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5241,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM303+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu May 2 19:54:24 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.43 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
% 8.06/1.62 % SZS status Started for theBenchmark.p
% 8.06/1.62 % SZS status Theorem for theBenchmark.p
% 8.06/1.62
% 8.06/1.62 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.06/1.62
% 8.06/1.62 ------ iProver source info
% 8.06/1.62
% 8.06/1.62 git: date: 2024-05-02 19:28:25 +0000
% 8.06/1.62 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.06/1.62 git: non_committed_changes: false
% 8.06/1.62
% 8.06/1.62 ------ Parsing...
% 8.06/1.62 ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.06/1.62
% 8.06/1.62 ------ 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
% 8.06/1.62
% 8.06/1.62 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.06/1.62
% 8.06/1.62 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 8.06/1.62 ------ Proving...
% 8.06/1.62 ------ Problem Properties
% 8.06/1.62
% 8.06/1.62
% 8.06/1.62 clauses 401
% 8.06/1.62 conjectures 1
% 8.06/1.62 EPR 7
% 8.06/1.62 Horn 399
% 8.06/1.62 unary 375
% 8.06/1.62 binary 6
% 8.06/1.62 lits 471
% 8.06/1.62 lits eq 5
% 8.06/1.62 fd_pure 0
% 8.06/1.62 fd_pseudo 0
% 8.06/1.62 fd_cond 0
% 8.06/1.62 fd_pseudo_cond 5
% 8.06/1.62 AC symbols 0
% 8.06/1.62
% 8.06/1.62 ------ Input Options Time Limit: Unbounded
% 8.06/1.62
% 8.06/1.62
% 8.06/1.62 ------
% 8.06/1.62 Current options:
% 8.06/1.62 ------
% 8.06/1.62
% 8.06/1.62
% 8.06/1.62
% 8.06/1.62
% 8.06/1.62 ------ Proving...
% 8.06/1.62
% 8.06/1.62
% 8.06/1.62 % SZS status Theorem for theBenchmark.p
% 8.06/1.62
% 8.06/1.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.06/1.62
% 8.06/1.62
%------------------------------------------------------------------------------