%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV031+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:16:16 PM UTC 2026
% Result : Theorem 0.73s 1.29s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f258ERROR: Could not build tree for root c_3742ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( leq(X3,X5)
& leq(X4,X3)
& leq(X0,X2)
& leq(X1,X0) )
=> a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',const_array2_select) ).
fof(f53,conjecture,
( ( ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> a_select2(s_values7_init,X2) = init )
& ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n3)
& leq(n0,X1) )
=> a_select3(simplex7_init,X1,X0) = init ) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& init = init )
=> ( ! [X5] :
( ( leq(X5,n3)
& leq(n0,X5) )
=> a_select2(s_values7_init,X5) = init )
& ! [X3] :
( ( leq(X3,n2)
& leq(n0,X3) )
=> ! [X4] :
( ( leq(X4,n3)
& leq(n0,X4) )
=> a_select3(simplex7_init,X4,X3) = init ) )
& leq(pv9,minus(n410,n1))
& leq(n0,pv9)
& a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) = init
& init = init ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0037) ).
fof(f54,negated_conjecture,
~ ( ( ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> a_select2(s_values7_init,X2) = init )
& ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n3)
& leq(n0,X1) )
=> a_select3(simplex7_init,X1,X0) = init ) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& init = init )
=> ( ! [X5] :
( ( leq(X5,n3)
& leq(n0,X5) )
=> a_select2(s_values7_init,X5) = init )
& ! [X3] :
( ( leq(X3,n2)
& leq(n0,X3) )
=> ! [X4] :
( ( leq(X4,n3)
& leq(n0,X4) )
=> a_select3(simplex7_init,X4,X3) = init ) )
& leq(pv9,minus(n410,n1))
& leq(n0,pv9)
& a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) = init
& init = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f102,plain,
( ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| a_select2(s_values7_init,X2) = init )
& ! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| ! [X1] :
( ~ leq(X1,n3)
| ~ leq(n0,X1)
| a_select3(simplex7_init,X1,X0) = init ) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& init = init
& ( ? [X5] :
( leq(X5,n3)
& leq(n0,X5)
& init != a_select2(s_values7_init,X5) )
| ? [X3] :
( leq(X3,n2)
& leq(n0,X3)
& ? [X4] :
( leq(X4,n3)
& leq(n0,X4)
& init != a_select3(simplex7_init,X4,X3) ) )
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
| init != init ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f103,plain,
( ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| a_select2(s_values7_init,X2) = init )
& ! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| ! [X1] :
( ~ leq(X1,n3)
| ~ leq(n0,X1)
| a_select3(simplex7_init,X1,X0) = init ) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& init = init
& ( ? [X5] :
( leq(X5,n3)
& leq(n0,X5)
& init != a_select2(s_values7_init,X5) )
| ? [X3] :
( leq(X3,n2)
& leq(n0,X3)
& ? [X4] :
( leq(X4,n3)
& leq(n0,X4)
& init != a_select3(simplex7_init,X4,X3) ) )
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
| init != init ) ),
inference(flattening,[],[f102]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0)
| a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6 ),
inference(ennf_transformation,[],[f17]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0)
| a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6 ),
inference(flattening,[],[f113]) ).
fof(f133,plain,
( ! [X3] :
( ~ leq(X3,n3)
| ~ leq(n0,X3)
| init = a_select2(s_values7_init,X3) )
& ! [X1] :
( ~ leq(X1,n2)
| ~ leq(n0,X1)
| ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1) ) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& init = init
& ( ? [X0] :
( leq(X0,n3)
& leq(n0,X0)
& init != a_select2(s_values7_init,X0) )
| sP0
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
| init != init ) ),
inference(rectify,[],[f129]) ).
fof(f134,plain,
( ! [X3] :
( ~ leq(X3,n3)
| ~ leq(n0,X3)
| init = a_select2(s_values7_init,X3) )
& ! [X1] :
( ~ leq(X1,n2)
| ~ leq(n0,X1)
| ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1) ) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& init = init
& ( ( leq(sK3,n3)
& leq(n0,sK3)
& init != a_select2(s_values7_init,sK3) )
| sP0
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
| init != init ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f133]) ).
fof(f143,plain,
! [X3] :
( ~ leq(X3,n3)
| ~ leq(n0,X3)
| init = a_select2(s_values7_init,X3) ),
inference(cnf_transformation,[],[f134]) ).
fof(f144,plain,
! [X2,X1] :
( ~ leq(X1,n2)
| ~ leq(n0,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f145,plain,
leq(pv10,minus(n330,n1)),
inference(cnf_transformation,[],[f134]) ).
fof(f146,plain,
leq(pv9,minus(n410,n1)),
inference(cnf_transformation,[],[f134]) ).
fof(f147,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f134]) ).
fof(f148,plain,
leq(n0,pv9),
inference(cnf_transformation,[],[f134]) ).
fof(f165,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0)
| a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6 ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_54,negated_conjecture,
( sP0
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1))
| ( a_select2(s_values7_init,sK3) != init )
| ( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_55,negated_conjecture,
( sP0
| leq(n0,sK3)
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1))
| ( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ) ),
inference(cnf_transformation,[],[f259]) ).
tcf(c_56,negated_conjecture,
( sP0
| leq(sK3,n3)
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1))
| ( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ) ),
inference(cnf_transformation,[],[f260]) ).
tcf(c_57,negated_conjecture,
leq(n0,pv9),
inference(cnf_transformation,[],[f148]) ).
tcf(c_58,negated_conjecture,
leq(n0,pv10),
inference(cnf_transformation,[],[f147]) ).
tcf(c_59,negated_conjecture,
leq(pv9,minus(n410,n1)),
inference(cnf_transformation,[],[f146]) ).
tcf(c_60,negated_conjecture,
leq(pv10,minus(n330,n1)),
inference(cnf_transformation,[],[f145]) ).
tcf(c_61,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(simplex7_init,X0,X1) = init )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,n3) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_62,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_values7_init,X0) = init )
| ~ leq(n0,X0)
| ~ leq(X0,n3) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( a_select3(tptp_const_array2(dim(X0,X4),dim(X5,X3),X6),X1,X2) = X6 )
| ~ leq(X5,X2)
| ~ leq(X2,X3)
| ~ leq(X1,X4)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_169,negated_conjecture,
( sP0
| leq(sK3,n3)
| ( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ) ),
inference(global_subsumption_just,[status(thm)],[c_56,c_57,c_59,c_56]) ).
tcf(c_171,negated_conjecture,
( sP0
| leq(n0,sK3)
| ( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ) ),
inference(global_subsumption_just,[status(thm)],[c_55,c_57,c_59,c_55]) ).
tcf(c_173,negated_conjecture,
( sP0
| ( a_select2(s_values7_init,sK3) != init )
| ( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_57,c_59,c_54]) ).
tcf(c_2725,plain,
( ( a_select2(s_values7_init,sK3) = init )
| ~ leq(sK3,n3)
| ~ leq(n0,sK3) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_3741,plain,
( ( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) = init )
| ~ leq(n0,pv10)
| ~ leq(n0,pv9)
| ~ leq(pv10,minus(n330,n1))
| ~ leq(pv9,minus(n410,n1)) ),
inference(instantiation,[status(thm)],[c_75]) ).
fof(f128,definition,
( ~ sP0
| ? [X3] :
( leq(X3,n2)
& leq(n0,X3)
& ? [X4] :
( leq(X4,n3)
& leq(n0,X4)
& init != a_select3(simplex7_init,X4,X3) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f129,plain,
( ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| a_select2(s_values7_init,X2) = init )
& ! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| ! [X1] :
( ~ leq(X1,n3)
| ~ leq(n0,X1)
| a_select3(simplex7_init,X1,X0) = init ) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& init = init
& ( ? [X5] :
( leq(X5,n3)
& leq(n0,X5)
& init != a_select2(s_values7_init,X5) )
| sP0
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
| init != init ) ),
inference(definition_folding,[],[f103,f128]) ).
fof(f130,plain,
( ~ sP0
| ? [X3] :
( leq(X3,n2)
& leq(n0,X3)
& ? [X4] :
( leq(X4,n3)
& leq(n0,X4)
& init != a_select3(simplex7_init,X4,X3) ) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f131,plain,
( ~ sP0
| ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& ? [X1] :
( leq(X1,n3)
& leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0) ) ) ),
inference(rectify,[],[f130]) ).
fof(f132,plain,
( ~ sP0
| ( leq(sK1,n2)
& leq(n0,sK1)
& leq(sK2,n3)
& leq(n0,sK2)
& init != a_select3(simplex7_init,sK2,sK1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f131]) ).
fof(f138,plain,
( ~ sP0
| leq(sK1,n2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f139,plain,
( ~ sP0
| leq(n0,sK1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f140,plain,
( ~ sP0
| leq(sK2,n3) ),
inference(cnf_transformation,[],[f132]) ).
fof(f141,plain,
( ~ sP0
| leq(n0,sK2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f142,plain,
( ~ sP0
| init != a_select3(simplex7_init,sK2,sK1) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_49,plain,
( ~ sP0
| ( a_select3(simplex7_init,sK2,sK1) != init ) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_50,plain,
( leq(n0,sK2)
| ~ sP0 ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_51,plain,
( leq(sK2,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_52,plain,
( leq(n0,sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_53,plain,
( leq(sK1,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_2416,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK2,X0) = init )
| ~ sP0
| ~ leq(sK2,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_50,c_61]) ).
tcf(c_2449,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK2,X0) = init )
| ~ sP0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2416,c_51,c_2416]) ).
tcf(c_2450,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK2,X0) = init )
| ~ sP0
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(renaming,[status(thm)],[c_2449]) ).
tcf(c_2521,plain,
( ( a_select3(simplex7_init,sK2,sK1) = init )
| ~ sP0
| ~ leq(sK1,n2) ),
inference(superposition,[status(thm)],[c_52,c_2450]) ).
tcf(c_2551,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_53,c_53,c_49,c_2521]) ).
tcf(c_3742,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3741,c_2725,c_2551,c_173,c_171,c_169,c_59,c_60,c_57,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV031+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 18:22:13 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 0.73/1.29 % SZS status Started for theBenchmark.p
% 0.73/1.29 % SZS status Theorem for theBenchmark.p
% 0.73/1.29
% 0.73/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.73/1.29
% 0.73/1.29 % ------ iProver source info
% 0.73/1.29
% 0.73/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.73/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.73/1.29 % git: non_committed_changes: false
% 0.73/1.29
% 0.73/1.29 % ------ Parsing...
% 0.73/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.73/1.29
% 0.73/1.29 % ------ Preprocessing... sup_sim: 10 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.73/1.29
% 0.73/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.73/1.29
% 0.73/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.73/1.29 % ------ Proving...
% 0.73/1.29 % ------ Problem Properties
% 0.73/1.29
% 0.73/1.29 %
% 0.73/1.29 % clauses 91
% 0.73/1.29 % conjectures 9
% 0.73/1.29 % EPR 55
% 0.73/1.29 % Horn 82
% 0.73/1.29 % unary 60
% 0.73/1.29 % binary 15
% 0.73/1.29 % lits 157
% 0.73/1.29 % lits eq 48
% 0.73/1.29 % fd_pure 0
% 0.73/1.29 % fd_pseudo 0
% 0.73/1.29 % fd_cond 6
% 0.73/1.29 % fd_pseudo_cond 2
% 0.73/1.29 % AC symbols 0
% 0.73/1.29
% 0.73/1.29 % ------ Schedule dynamic 5 is on
% 0.73/1.29
% 0.73/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 % ------
% 0.73/1.29 % Current options:
% 0.73/1.29 % ------
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 %
% 0.73/1.29
% 0.73/1.29 % ------ Proving...
% 0.73/1.29 %
% 0.73/1.29
% 0.73/1.29 % SZS status Theorem for theBenchmark.p
% 0.73/1.29
% 0.73/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.73/1.30
% 0.73/1.30
%------------------------------------------------------------------------------