TSTP Solution File: SWV168+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV168+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 22:31:25 EDT 2023
% Result : Theorem 0.41s 1.12s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 205 ( 57 equ)
% Maximal formula atoms : 35 ( 9 avg)
% Number of connectives : 246 ( 62 ~; 56 |; 89 &)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn; 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,pred(pv40))
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> init = a_select3(q_init,X13,X17) ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init )
=> init = a_select3(q_init,pv46,pv40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0016) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,pred(pv40))
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> init = a_select3(q_init,X13,X17) ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init )
=> init = a_select3(q_init,pv46,pv40) ),
inference(negated_conjecture,[],[f53]) ).
fof(f114,plain,
~ ( ( ( gt(loopcounter,n1)
=> ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(sigmaold_init,X0) ) )
& ( gt(loopcounter,n1)
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(rhoold_init,X1) ) )
& ( gt(loopcounter,n1)
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(muold_init,X2) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X4] :
( ( leq(X4,pred(pv40))
& leq(n0,X4) )
=> init = a_select2(sigma_init,X4) )
& ! [X5] :
( ( leq(X5,pred(pv40))
& leq(n0,X5) )
=> init = a_select2(mu_init,X5) )
& ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(rho_init,X6) )
& ! [X7] :
( ( leq(X7,n135299)
& leq(n0,X7) )
=> ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select3(q_init,X7,X8) ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init )
=> init = a_select3(q_init,pv46,pv40) ),
inference(rectify,[],[f54]) ).
fof(f156,plain,
( init != a_select3(q_init,pv46,pv40)
& ( ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& ( ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(sigma_init,X4)
| ~ leq(X4,pred(pv40))
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(rho_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( ! [X8] :
( init = a_select3(q_init,X7,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
| ~ leq(X7,n135299)
| ~ leq(n0,X7) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init ),
inference(ennf_transformation,[],[f114]) ).
fof(f157,plain,
( init != a_select3(q_init,pv46,pv40)
& ( ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& ( ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(sigma_init,X4)
| ~ leq(X4,pred(pv40))
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(rho_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( ! [X8] :
( init = a_select3(q_init,X7,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
| ~ leq(X7,n135299)
| ~ leq(n0,X7) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init ),
inference(flattening,[],[f156]) ).
fof(f335,plain,
leq(n0,pv40),
inference(cnf_transformation,[],[f157]) ).
fof(f336,plain,
leq(n0,pv46),
inference(cnf_transformation,[],[f157]) ).
fof(f337,plain,
leq(pv40,n4),
inference(cnf_transformation,[],[f157]) ).
fof(f338,plain,
leq(pv46,n135299),
inference(cnf_transformation,[],[f157]) ).
fof(f339,plain,
! [X8,X7] :
( init = a_select3(q_init,X7,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8)
| ~ leq(X7,n135299)
| ~ leq(n0,X7) ),
inference(cnf_transformation,[],[f157]) ).
fof(f347,plain,
init != a_select3(q_init,pv46,pv40),
inference(cnf_transformation,[],[f157]) ).
cnf(c_157,negated_conjecture,
a_select3(q_init,pv46,pv40) != init,
inference(cnf_transformation,[],[f347]) ).
cnf(c_165,negated_conjecture,
( ~ leq(X0,n4)
| ~ leq(X1,n135299)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(q_init,X1,X0) = init ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_166,negated_conjecture,
leq(pv46,n135299),
inference(cnf_transformation,[],[f338]) ).
cnf(c_167,negated_conjecture,
leq(pv40,n4),
inference(cnf_transformation,[],[f337]) ).
cnf(c_168,negated_conjecture,
leq(n0,pv46),
inference(cnf_transformation,[],[f336]) ).
cnf(c_169,negated_conjecture,
leq(n0,pv40),
inference(cnf_transformation,[],[f335]) ).
cnf(c_9116,plain,
( ~ leq(X0,n135299)
| ~ leq(n0,X0)
| ~ leq(pv40,n4)
| a_select3(q_init,X0,pv40) = init ),
inference(superposition,[status(thm)],[c_169,c_165]) ).
cnf(c_9117,plain,
( ~ leq(X0,n135299)
| ~ leq(n0,X0)
| a_select3(q_init,X0,pv40) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9116,c_167]) ).
cnf(c_9210,plain,
( ~ leq(pv46,n135299)
| a_select3(q_init,pv46,pv40) = init ),
inference(superposition,[status(thm)],[c_168,c_9117]) ).
cnf(c_9214,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9210,c_157,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SWV168+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n022.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 03:13:24 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.41/1.12 % SZS status Started for theBenchmark.p
% 0.41/1.12 % SZS status Theorem for theBenchmark.p
% 0.41/1.12
% 0.41/1.12 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.41/1.12
% 0.41/1.12 ------ iProver source info
% 0.41/1.12
% 0.41/1.12 git: date: 2023-05-31 18:12:56 +0000
% 0.41/1.12 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.41/1.12 git: non_committed_changes: false
% 0.41/1.12 git: last_make_outside_of_git: false
% 0.41/1.12
% 0.41/1.12 ------ Parsing...
% 0.41/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.41/1.12
% 0.41/1.12 ------ Preprocessing... sup_sim: 16 sf_s rm: 1 0s sf_e pe_s pe_e
% 0.41/1.12
% 0.41/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.41/1.12
% 0.41/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.41/1.12 ------ Proving...
% 0.41/1.12 ------ Problem Properties
% 0.41/1.12
% 0.41/1.12
% 0.41/1.12 clauses 161
% 0.41/1.12 conjectures 14
% 0.41/1.12 EPR 47
% 0.41/1.12 Horn 111
% 0.41/1.12 unary 59
% 0.41/1.12 binary 34
% 0.41/1.12 lits 521
% 0.41/1.12 lits eq 123
% 0.41/1.12 fd_pure 0
% 0.41/1.12 fd_pseudo 0
% 0.41/1.12 fd_cond 6
% 0.41/1.12 fd_pseudo_cond 4
% 0.41/1.12 AC symbols 0
% 0.41/1.12
% 0.41/1.12 ------ Schedule dynamic 5 is on
% 0.41/1.12
% 0.41/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.41/1.12
% 0.41/1.12
% 0.41/1.12 ------
% 0.41/1.12 Current options:
% 0.41/1.12 ------
% 0.41/1.12
% 0.41/1.12
% 0.41/1.12
% 0.41/1.12
% 0.41/1.12 ------ Proving...
% 0.41/1.12
% 0.41/1.12
% 0.41/1.12 % SZS status Theorem for theBenchmark.p
% 0.41/1.12
% 0.41/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.41/1.12
% 0.41/1.12
%------------------------------------------------------------------------------