TSTP Solution File: SWV178+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV178+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 22:31:28 EDT 2023
% Result : Theorem 4.43s 1.88s
% Output : CNFRefutation 4.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 276 ( 72 equ)
% Maximal formula atoms : 35 ( 12 avg)
% Number of connectives : 359 ( 105 ~; 95 |; 116 &)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 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 : 74 ( 0 sgn; 67 !; 4 ?)
% 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) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(sigmaold_init,X10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0066) ).
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) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(sigmaold_init,X10) ) ),
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) ) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40) )
=> ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> init = a_select2(sigmaold_init,X9) ) ),
inference(rectify,[],[f54]) ).
fof(f156,plain,
( ? [X9] :
( init != a_select2(sigmaold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& ( ! [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) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40) ),
inference(ennf_transformation,[],[f114]) ).
fof(f157,plain,
( ? [X9] :
( init != a_select2(sigmaold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& ( ! [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) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40) ),
inference(flattening,[],[f156]) ).
fof(f224,plain,
( ? [X0] :
( init != a_select2(sigmaold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
& ( ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ( ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(rho_init,X7)
| ~ 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)
& leq(pv40,n4)
& leq(n0,pv40) ),
inference(rectify,[],[f157]) ).
fof(f225,plain,
( ? [X0] :
( init != a_select2(sigmaold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(sigmaold_init,sK31)
& leq(sK31,n4)
& leq(n0,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( init != a_select2(sigmaold_init,sK31)
& leq(sK31,n4)
& leq(n0,sK31)
& ( ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ( ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(rho_init,X7)
| ~ 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)
& leq(pv40,n4)
& leq(n0,pv40) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f224,f225]) ).
fof(f339,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f226]) ).
fof(f347,plain,
! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f348,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f226]) ).
fof(f349,plain,
leq(sK31,n4),
inference(cnf_transformation,[],[f226]) ).
fof(f350,plain,
init != a_select2(sigmaold_init,sK31),
inference(cnf_transformation,[],[f226]) ).
cnf(c_157,negated_conjecture,
a_select2(sigmaold_init,sK31) != init,
inference(cnf_transformation,[],[f350]) ).
cnf(c_158,negated_conjecture,
leq(sK31,n4),
inference(cnf_transformation,[],[f349]) ).
cnf(c_159,negated_conjecture,
leq(n0,sK31),
inference(cnf_transformation,[],[f348]) ).
cnf(c_160,negated_conjecture,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ gt(loopcounter,n1)
| a_select2(sigmaold_init,X0) = init ),
inference(cnf_transformation,[],[f347]) ).
cnf(c_168,negated_conjecture,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f339]) ).
cnf(c_314,plain,
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| a_select2(sigmaold_init,X0) = init ),
inference(global_subsumption_just,[status(thm)],[c_160,c_168,c_160]) ).
cnf(c_315,negated_conjecture,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| a_select2(sigmaold_init,X0) = init ),
inference(renaming,[status(thm)],[c_314]) ).
cnf(c_9029,plain,
( ~ leq(sK31,n4)
| a_select2(sigmaold_init,sK31) = init ),
inference(superposition,[status(thm)],[c_159,c_315]) ).
cnf(c_9032,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9029,c_157,c_158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SWV178+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.15 % Command : run_iprover %s %d THM
% 0.15/0.38 % Computer : n013.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Tue Aug 29 07:26:17 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.19/0.56 Running first-order theorem proving
% 0.19/0.56 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.43/1.88 % SZS status Started for theBenchmark.p
% 4.43/1.88 % SZS status Theorem for theBenchmark.p
% 4.43/1.88
% 4.43/1.88 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.43/1.88
% 4.43/1.88 ------ iProver source info
% 4.43/1.88
% 4.43/1.88 git: date: 2023-05-31 18:12:56 +0000
% 4.43/1.88 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.43/1.88 git: non_committed_changes: false
% 4.43/1.88 git: last_make_outside_of_git: false
% 4.43/1.88
% 4.43/1.88 ------ Parsing...
% 4.43/1.88 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.43/1.88
% 4.43/1.88 ------ Preprocessing... sup_sim: 16 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.43/1.88
% 4.43/1.88 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.43/1.88
% 4.43/1.88 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.43/1.88 ------ Proving...
% 4.43/1.88 ------ Problem Properties
% 4.43/1.88
% 4.43/1.88
% 4.43/1.88 clauses 161
% 4.43/1.88 conjectures 14
% 4.43/1.88 EPR 48
% 4.43/1.88 Horn 111
% 4.43/1.88 unary 59
% 4.43/1.88 binary 34
% 4.43/1.88 lits 518
% 4.43/1.88 lits eq 122
% 4.43/1.88 fd_pure 0
% 4.43/1.88 fd_pseudo 0
% 4.43/1.88 fd_cond 6
% 4.43/1.88 fd_pseudo_cond 4
% 4.43/1.88 AC symbols 0
% 4.43/1.88
% 4.43/1.88 ------ Schedule dynamic 5 is on
% 4.43/1.88
% 4.43/1.88 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.43/1.88
% 4.43/1.88
% 4.43/1.88 ------
% 4.43/1.88 Current options:
% 4.43/1.88 ------
% 4.43/1.88
% 4.43/1.88
% 4.43/1.88
% 4.43/1.88
% 4.43/1.88 ------ Proving...
% 4.43/1.88
% 4.43/1.88
% 4.43/1.88 % SZS status Theorem for theBenchmark.p
% 4.43/1.88
% 4.43/1.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.43/1.88
% 4.43/1.88
%------------------------------------------------------------------------------