TSTP Solution File: SWV188+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV188+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 : Fri May 3 03:13:42 EDT 2024
% Result : Theorem 3.86s 1.14s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 56 ( 17 unt; 0 def)
% Number of atoms : 289 ( 69 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 349 ( 116 ~; 112 |; 79 &)
% ( 0 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 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 : 114 ( 0 sgn 96 !; 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(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
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,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(sigmaold_init,X27) ) )
& ( gt(loopcounter,n1)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(rhoold_init,X21) ) )
& ( gt(loopcounter,n1)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(muold_init,X20) ) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select3(center_init,X19,n0) )
& ! [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 ) ) )
=> ! [X28] :
( ( leq(X28,tptp_minus_1)
& leq(n0,X28) )
=> init = a_select2(mu_init,X28) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0116) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(sigmaold_init,X27) ) )
& ( gt(loopcounter,n1)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(rhoold_init,X21) ) )
& ( gt(loopcounter,n1)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(muold_init,X20) ) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select3(center_init,X19,n0) )
& ! [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 ) ) )
=> ! [X28] :
( ( leq(X28,tptp_minus_1)
& leq(n0,X28) )
=> init = a_select2(mu_init,X28) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f61,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f85,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
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,n4)
& leq(n0,X4) )
=> init = a_select2(rho_init,X4) )
& ! [X5] :
( ( leq(X5,n135299)
& leq(n0,X5) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select3(q_init,X5,X6) ) ) )
=> ! [X7] :
( ( leq(X7,tptp_minus_1)
& leq(n0,X7) )
=> init = a_select2(mu_init,X7) ) ),
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(f118,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f119,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
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,
( ? [X7] :
( init != a_select2(mu_init,X7)
& leq(X7,tptp_minus_1)
& leq(n0,X7) )
& ( ! [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(rho_init,X4)
| ~ 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) ) ),
inference(ennf_transformation,[],[f114]) ).
fof(f157,plain,
( ? [X7] :
( init != a_select2(mu_init,X7)
& leq(X7,tptp_minus_1)
& leq(n0,X7) )
& ( ! [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(rho_init,X4)
| ~ 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) ) ),
inference(flattening,[],[f156]) ).
fof(f162,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f163,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f162]) ).
fof(f224,plain,
( ? [X0] :
( init != a_select2(mu_init,X0)
& leq(X0,tptp_minus_1)
& 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(rho_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( ! [X7] :
( init = a_select3(q_init,X6,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
| ~ leq(X6,n135299)
| ~ leq(n0,X6) ) ),
inference(rectify,[],[f157]) ).
fof(f225,plain,
( ? [X0] :
( init != a_select2(mu_init,X0)
& leq(X0,tptp_minus_1)
& leq(n0,X0) )
=> ( init != a_select2(mu_init,sK31)
& leq(sK31,tptp_minus_1)
& leq(n0,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( init != a_select2(mu_init,sK31)
& leq(sK31,tptp_minus_1)
& 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(rho_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( ! [X7] :
( init = a_select3(q_init,X6,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
| ~ leq(X6,n135299)
| ~ leq(n0,X6) ) ),
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(f231,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f232,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f233,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f343,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f226]) ).
fof(f344,plain,
leq(sK31,tptp_minus_1),
inference(cnf_transformation,[],[f226]) ).
fof(f352,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f376,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f163]) ).
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_53,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f231]) ).
cnf(c_54,plain,
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f232]) ).
cnf(c_55,plain,
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[],[f233]) ).
cnf(c_158,negated_conjecture,
leq(sK31,tptp_minus_1),
inference(cnf_transformation,[],[f344]) ).
cnf(c_159,negated_conjecture,
leq(n0,sK31),
inference(cnf_transformation,[],[f343]) ).
cnf(c_172,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f352]) ).
cnf(c_196,plain,
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| X0 = n0 ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_206,plain,
~ gt(n0,n0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_8928,plain,
leq(tptp_minus_1,n0),
inference(superposition,[status(thm)],[c_172,c_54]) ).
cnf(c_9037,plain,
( ~ leq(sK31,n0)
| n0 = sK31 ),
inference(superposition,[status(thm)],[c_159,c_196]) ).
cnf(c_9191,plain,
( tptp_minus_1 = sK31
| gt(tptp_minus_1,sK31) ),
inference(superposition,[status(thm)],[c_158,c_55]) ).
cnf(c_9192,plain,
( n0 = sK31
| gt(sK31,n0) ),
inference(superposition,[status(thm)],[c_159,c_55]) ).
cnf(c_9236,plain,
( ~ leq(X0,tptp_minus_1)
| leq(X0,n0) ),
inference(superposition,[status(thm)],[c_8928,c_53]) ).
cnf(c_10044,plain,
leq(sK31,n0),
inference(superposition,[status(thm)],[c_158,c_9236]) ).
cnf(c_10261,plain,
n0 = sK31,
inference(global_subsumption_just,[status(thm)],[c_9192,c_9037,c_10044]) ).
cnf(c_10304,plain,
( n0 = tptp_minus_1
| gt(tptp_minus_1,n0) ),
inference(light_normalisation,[status(thm)],[c_9191,c_10261]) ).
cnf(c_10310,plain,
( ~ gt(X0,tptp_minus_1)
| n0 = tptp_minus_1
| gt(X0,n0) ),
inference(superposition,[status(thm)],[c_10304,c_50]) ).
cnf(c_10311,plain,
( ~ gt(n0,tptp_minus_1)
| n0 = tptp_minus_1
| gt(n0,n0) ),
inference(instantiation,[status(thm)],[c_10310]) ).
cnf(c_12672,plain,
n0 = tptp_minus_1,
inference(global_subsumption_just,[status(thm)],[c_10310,c_172,c_206,c_10311]) ).
cnf(c_12694,plain,
gt(n0,n0),
inference(superposition,[status(thm)],[c_12672,c_172]) ).
cnf(c_12698,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12694,c_206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV188+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 00:05:57 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.86/1.14 % SZS status Started for theBenchmark.p
% 3.86/1.14 % SZS status Theorem for theBenchmark.p
% 3.86/1.14
% 3.86/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.86/1.14
% 3.86/1.14 ------ iProver source info
% 3.86/1.14
% 3.86/1.14 git: date: 2024-05-02 19:28:25 +0000
% 3.86/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.86/1.14 git: non_committed_changes: false
% 3.86/1.14
% 3.86/1.14 ------ Parsing...
% 3.86/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.86/1.14
% 3.86/1.14 ------ Preprocessing... sup_sim: 17 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.86/1.14
% 3.86/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.86/1.14
% 3.86/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.86/1.14 ------ Proving...
% 3.86/1.14 ------ Problem Properties
% 3.86/1.14
% 3.86/1.14
% 3.86/1.14 clauses 156
% 3.86/1.14 conjectures 9
% 3.86/1.14 EPR 45
% 3.86/1.14 Horn 106
% 3.86/1.14 unary 56
% 3.86/1.14 binary 34
% 3.86/1.14 lits 512
% 3.86/1.14 lits eq 120
% 3.86/1.14 fd_pure 0
% 3.86/1.14 fd_pseudo 0
% 3.86/1.14 fd_cond 6
% 3.86/1.14 fd_pseudo_cond 4
% 3.86/1.14 AC symbols 0
% 3.86/1.14
% 3.86/1.14 ------ Input Options Time Limit: Unbounded
% 3.86/1.14
% 3.86/1.14
% 3.86/1.14 ------
% 3.86/1.14 Current options:
% 3.86/1.14 ------
% 3.86/1.14
% 3.86/1.14
% 3.86/1.14
% 3.86/1.14
% 3.86/1.14 ------ Proving...
% 3.86/1.14
% 3.86/1.14
% 3.86/1.14 % SZS status Theorem for theBenchmark.p
% 3.86/1.14
% 3.86/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.86/1.14
% 3.86/1.15
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