TSTP Solution File: SWV186+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV186+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 22:31:30 EDT 2023
% Result : Theorem 3.45s 1.15s
% Output : CNFRefutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 231 ( 70 equ)
% Maximal formula atoms : 30 ( 12 avg)
% Number of connectives : 300 ( 87 ~; 77 |; 102 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-3 aty)
% Number of variables : 72 ( 0 sgn; 67 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigma_init,X4) )
& ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rho_init,X28) )
& ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(mu_init,X27) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigmaold_init,X21) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rhoold_init,X20) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(muold_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0106) ).
fof(f54,negated_conjecture,
~ ( ( ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigma_init,X4) )
& ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rho_init,X28) )
& ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(mu_init,X27) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigmaold_init,X21) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rhoold_init,X20) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(muold_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f114,plain,
~ ( ( ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(sigma_init,X0) )
& ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(rho_init,X1) )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(mu_init,X2) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(sigmaold_init,X3) )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(rhoold_init,X4) )
& ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(muold_init,X5) )
& ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select3(center_init,X6,n0) )
& ! [X7] :
( ( leq(X7,n135299)
& leq(n0,X7) )
=> ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select3(q_init,X7,X8) ) )
& gt(loopcounter,n1) )
=> ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> init = a_select2(muold_init,X9) ) ),
inference(rectify,[],[f54]) ).
fof(f156,plain,
( ? [X9] :
( init != a_select2(muold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(rhoold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(muold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ 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) )
& gt(loopcounter,n1) ),
inference(ennf_transformation,[],[f114]) ).
fof(f157,plain,
( ? [X9] :
( init != a_select2(muold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(rhoold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(muold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ 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) )
& gt(loopcounter,n1) ),
inference(flattening,[],[f156]) ).
fof(f224,plain,
( ? [X0] :
( init != a_select2(muold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
& ! [X1] :
( init = a_select2(sigma_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(sigmaold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ! [X9] :
( init = a_select3(q_init,X8,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
| ~ leq(X8,n135299)
| ~ leq(n0,X8) )
& gt(loopcounter,n1) ),
inference(rectify,[],[f157]) ).
fof(f225,plain,
( ? [X0] :
( init != a_select2(muold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(muold_init,sK31)
& leq(sK31,n4)
& leq(n0,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( init != a_select2(muold_init,sK31)
& leq(sK31,n4)
& leq(n0,sK31)
& ! [X1] :
( init = a_select2(sigma_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(sigmaold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ! [X9] :
( init = a_select3(q_init,X8,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
| ~ leq(X8,n135299)
| ~ leq(n0,X8) )
& gt(loopcounter,n1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f224,f225]) ).
fof(f340,plain,
! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f226]) ).
fof(f346,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f226]) ).
fof(f347,plain,
leq(sK31,n4),
inference(cnf_transformation,[],[f226]) ).
fof(f348,plain,
init != a_select2(muold_init,sK31),
inference(cnf_transformation,[],[f226]) ).
cnf(c_157,negated_conjecture,
a_select2(muold_init,sK31) != init,
inference(cnf_transformation,[],[f348]) ).
cnf(c_158,negated_conjecture,
leq(sK31,n4),
inference(cnf_transformation,[],[f347]) ).
cnf(c_159,negated_conjecture,
leq(n0,sK31),
inference(cnf_transformation,[],[f346]) ).
cnf(c_165,negated_conjecture,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| a_select2(muold_init,X0) = init ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_9013,plain,
( ~ leq(sK31,n4)
| a_select2(muold_init,sK31) = init ),
inference(superposition,[status(thm)],[c_159,c_165]) ).
cnf(c_9014,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9013,c_157,c_158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV186+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 03:00:01 EDT 2023
% 0.13/0.35 % 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
% 3.45/1.15 % SZS status Started for theBenchmark.p
% 3.45/1.15 % SZS status Theorem for theBenchmark.p
% 3.45/1.15
% 3.45/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.45/1.15
% 3.45/1.15 ------ iProver source info
% 3.45/1.15
% 3.45/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.45/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.45/1.15 git: non_committed_changes: false
% 3.45/1.15 git: last_make_outside_of_git: false
% 3.45/1.15
% 3.45/1.15 ------ Parsing...
% 3.45/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.45/1.15
% 3.45/1.15 ------ Preprocessing... sup_sim: 16 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.45/1.15
% 3.45/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.45/1.15
% 3.45/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.45/1.15 ------ Proving...
% 3.45/1.15 ------ Problem Properties
% 3.45/1.15
% 3.45/1.15
% 3.45/1.15 clauses 159
% 3.45/1.15 conjectures 12
% 3.45/1.15 EPR 46
% 3.45/1.15 Horn 109
% 3.45/1.15 unary 57
% 3.45/1.15 binary 34
% 3.45/1.15 lits 516
% 3.45/1.15 lits eq 122
% 3.45/1.15 fd_pure 0
% 3.45/1.15 fd_pseudo 0
% 3.45/1.15 fd_cond 6
% 3.45/1.15 fd_pseudo_cond 4
% 3.45/1.15 AC symbols 0
% 3.45/1.15
% 3.45/1.15 ------ Schedule dynamic 5 is on
% 3.45/1.15
% 3.45/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.45/1.15
% 3.45/1.15
% 3.45/1.15 ------
% 3.45/1.15 Current options:
% 3.45/1.15 ------
% 3.45/1.15
% 3.45/1.15
% 3.45/1.15
% 3.45/1.15
% 3.45/1.15 ------ Proving...
% 3.45/1.15
% 3.45/1.15
% 3.45/1.15 % SZS status Theorem for theBenchmark.p
% 3.45/1.15
% 3.45/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.45/1.15
% 3.45/1.15
%------------------------------------------------------------------------------