TSTP Solution File: SWV181+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV181+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 4.21s 1.20s
% Output : CNFRefutation 4.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 237 ( 51 equ)
% Maximal formula atoms : 26 ( 7 avg)
% Number of connectives : 294 ( 89 ~; 81 |; 88 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 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 : 78 ( 0 sgn; 67 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigma_init,X21) ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rho_init,X20) ) )
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_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(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0081) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigma_init,X21) ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rho_init,X20) ) )
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_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(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f114,plain,
~ ( ( ( gt(loopcounter,n0)
=> ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(sigma_init,X0) ) )
& ( gt(loopcounter,n0)
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(rho_init,X1) ) )
& ( gt(loopcounter,n0)
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(mu_init,X2) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X4] :
( ( leq(X4,n135299)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select3(q_init,X4,X5) ) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(muold_init,X6) ) ),
inference(rectify,[],[f54]) ).
fof(f116,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f117,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f116]) ).
fof(f121,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f122,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f121]) ).
fof(f156,plain,
( ? [X6] :
( init != a_select2(muold_init,X6)
& leq(X6,n4)
& leq(n0,X6) )
& ( ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n0) )
& ( ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(ennf_transformation,[],[f114]) ).
fof(f157,plain,
( ? [X6] :
( init != a_select2(muold_init,X6)
& leq(X6,n4)
& leq(n0,X6) )
& ( ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n0) )
& ( ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
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) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ( ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n0) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( ! [X6] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ leq(X5,n135299)
| ~ leq(n0,X5) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
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) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ( ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n0) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( ! [X6] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ leq(X5,n135299)
| ~ leq(n0,X5) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f224,f225]) ).
fof(f228,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f229,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f233,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f338,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f226]) ).
fof(f339,plain,
gt(n1,loopcounter),
inference(cnf_transformation,[],[f226]) ).
cnf(c_50,plain,
( ~ gt(X0,X1)
| ~ gt(X1,X2)
| gt(X0,X2) ),
inference(cnf_transformation,[],[f228]) ).
cnf(c_51,plain,
~ gt(X0,X0),
inference(cnf_transformation,[],[f229]) ).
cnf(c_55,plain,
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[],[f233]) ).
cnf(c_165,negated_conjecture,
gt(n1,loopcounter),
inference(cnf_transformation,[],[f339]) ).
cnf(c_166,negated_conjecture,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f338]) ).
cnf(c_10190,plain,
( ~ gt(loopcounter,X0)
| ~ gt(n1,loopcounter)
| gt(n1,X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_12038,plain,
( ~ gt(n1,loopcounter)
| ~ gt(loopcounter,n1)
| gt(n1,n1) ),
inference(instantiation,[status(thm)],[c_10190]) ).
cnf(c_12039,plain,
~ gt(n1,n1),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_12651,plain,
( n1 = loopcounter
| gt(loopcounter,n1) ),
inference(superposition,[status(thm)],[c_166,c_55]) ).
cnf(c_13203,plain,
n1 = loopcounter,
inference(global_subsumption_just,[status(thm)],[c_12651,c_165,c_12038,c_12039,c_12651]) ).
cnf(c_13254,plain,
gt(n1,n1),
inference(demodulation,[status(thm)],[c_165,c_13203]) ).
cnf(c_13255,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_13254,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV181+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 06:29:10 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.21/1.20 % SZS status Started for theBenchmark.p
% 4.21/1.20 % SZS status Theorem for theBenchmark.p
% 4.21/1.20
% 4.21/1.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.21/1.20
% 4.21/1.20 ------ iProver source info
% 4.21/1.20
% 4.21/1.20 git: date: 2023-05-31 18:12:56 +0000
% 4.21/1.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.21/1.20 git: non_committed_changes: false
% 4.21/1.20 git: last_make_outside_of_git: false
% 4.21/1.20
% 4.21/1.20 ------ Parsing...
% 4.21/1.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.21/1.20
% 4.21/1.20 ------ Preprocessing... sup_sim: 16 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.21/1.20
% 4.21/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.21/1.20
% 4.21/1.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.21/1.20 ------ Proving...
% 4.21/1.20 ------ Problem Properties
% 4.21/1.20
% 4.21/1.20
% 4.21/1.20 clauses 158
% 4.21/1.20 conjectures 11
% 4.21/1.20 EPR 48
% 4.21/1.20 Horn 108
% 4.21/1.20 unary 59
% 4.21/1.20 binary 34
% 4.21/1.20 lits 512
% 4.21/1.20 lits eq 119
% 4.21/1.20 fd_pure 0
% 4.21/1.20 fd_pseudo 0
% 4.21/1.20 fd_cond 6
% 4.21/1.20 fd_pseudo_cond 4
% 4.21/1.20 AC symbols 0
% 4.21/1.20
% 4.21/1.20 ------ Schedule dynamic 5 is on
% 4.21/1.20
% 4.21/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.21/1.20
% 4.21/1.20
% 4.21/1.20 ------
% 4.21/1.20 Current options:
% 4.21/1.20 ------
% 4.21/1.20
% 4.21/1.20
% 4.21/1.20
% 4.21/1.20
% 4.21/1.20 ------ Proving...
% 4.21/1.20
% 4.21/1.20
% 4.21/1.20 % SZS status Theorem for theBenchmark.p
% 4.21/1.20
% 4.21/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.21/1.20
% 4.21/1.20
%------------------------------------------------------------------------------