%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEV667+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.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 03:02:55 PM UTC 2026
% Result : Theorem 4.65s 2.02s
% Output : CNFRefutation 4.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 81 ( 33 unt; 0 def)
% Number of atoms : 206 ( 35 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 225 ( 100 ~; 93 |; 9 &)
% ( 3 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 99 ( 0 sgn 95 !; 4 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
fof(f243,axiom,
! [X0] : cQuotients_2eInducedFunction2_2eprojf___24a1(X0) = cQuotients_2equotient__projection___24a3(cB,cS,cf___24a1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_Quotients.InducedFunction2.projf') ).
fof(f651,axiom,
! [X0] :
( c_24__type__163663___24t(X0)
<=> ! [X1] :
( cA___24t(X1)
=> cB___24t(happ(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_type_163663') ).
fof(f935,axiom,
cType___24t(cB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_B') ).
fof(f1579,axiom,
cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(cB,cS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_S') ).
fof(f1580,axiom,
c_24__type__163663___24t(cf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_f') ).
fof(f1873,axiom,
! [X0] :
( cType___24t(X0)
=> ! [X1] :
( cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(X0,X1)
=> ( cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(X0,X1)
=> ! [X2] :
( t(X2,X0)
=> ! [X3] :
( t(X3,X0)
=> ( p(happ(happ(X1,X2),X3))
=> cQuotients_2equotient__projection___24a3(X0,X1,X2) = cQuotients_2equotient__projection___24a3(X0,X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Quotients.quotient_projection_collapses_R') ).
fof(f1880,axiom,
cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(cB,cS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivS) ).
fof(f1881,axiom,
! [X0] :
( cA___24t(X0)
=> ! [X1] :
( cA___24t(X1)
=> ( cR___24a2(X0,X1)
=> cS___24a2(cf___24a1(X0),cf___24a1(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_defined2) ).
fof(f2191,axiom,
! [X0] : happ(cQuotients_2eInducedFunction2_2eprojf,X0) = cQuotients_2eInducedFunction2_2eprojf___24a1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_Quotients.InducedFunction2.projf_$a1') ).
fof(f2246,axiom,
! [X0,X1] :
( p(happ(happ(cS,X0),X1))
<=> cS___24a2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_S_$a2') ).
fof(f2322,axiom,
! [X0] : happ(cf,X0) = cf___24a1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_f_$a1') ).
fof(f2657,axiom,
! [X0] :
( cB___24t(X0)
<=> t(X0,cB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$tdef_B') ).
fof(f2863,conjecture,
! [X0] :
( cA___24t(X0)
=> ! [X1] :
( cA___24t(X1)
=> ( cR___24a2(X0,X1)
=> cQuotients_2eInducedFunction2_2eprojf___24a1(X0) = cQuotients_2eInducedFunction2_2eprojf___24a1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2864,negated_conjecture,
~ ! [X0] :
( cA___24t(X0)
=> ! [X1] :
( cA___24t(X1)
=> ( cR___24a2(X0,X1)
=> cQuotients_2eInducedFunction2_2eprojf___24a1(X0) = cQuotients_2eInducedFunction2_2eprojf___24a1(X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f2863]) ).
fof(f2865,plain,
! [X0,X1] :
( cS___24a2(X0,X1)
=> p(happ(happ(cS,X0),X1)) ),
inference(unused_predicate_definition_removal,[],[f2246]) ).
fof(f2867,plain,
! [X0] :
( c_24__type__163663___24t(X0)
=> ! [X1] :
( cA___24t(X1)
=> cB___24t(happ(X0,X1)) ) ),
inference(unused_predicate_definition_removal,[],[f651]) ).
fof(f2868,plain,
! [X0] :
( cB___24t(X0)
=> t(X0,cB) ),
inference(unused_predicate_definition_removal,[],[f2657]) ).
fof(f2870,plain,
? [X0] :
( cA___24t(X0)
& ? [X1] :
( cA___24t(X1)
& cR___24a2(X0,X1)
& cQuotients_2eInducedFunction2_2eprojf___24a1(X0) != cQuotients_2eInducedFunction2_2eprojf___24a1(X1) ) ),
inference(ennf_transformation,[],[f2864]) ).
fof(f2871,plain,
? [X0] :
( cA___24t(X0)
& ? [X1] :
( cA___24t(X1)
& cR___24a2(X0,X1)
& cQuotients_2eInducedFunction2_2eprojf___24a1(X0) != cQuotients_2eInducedFunction2_2eprojf___24a1(X1) ) ),
inference(flattening,[],[f2870]) ).
fof(f2872,plain,
! [X0] :
( ~ cA___24t(X0)
| ! [X1] :
( ~ cA___24t(X1)
| ~ cR___24a2(X0,X1)
| cS___24a2(cf___24a1(X0),cf___24a1(X1)) ) ),
inference(ennf_transformation,[],[f1881]) ).
fof(f2873,plain,
! [X0] :
( ~ cA___24t(X0)
| ! [X1] :
( ~ cA___24t(X1)
| ~ cR___24a2(X0,X1)
| cS___24a2(cf___24a1(X0),cf___24a1(X1)) ) ),
inference(flattening,[],[f2872]) ).
fof(f2877,plain,
! [X0] :
( ~ cType___24t(X0)
| ! [X1] :
( ~ cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(X0,X1)
| ~ cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(X0,X1)
| ! [X2] :
( ~ t(X2,X0)
| ! [X3] :
( ~ t(X3,X0)
| ~ p(happ(happ(X1,X2),X3))
| cQuotients_2equotient__projection___24a3(X0,X1,X2) = cQuotients_2equotient__projection___24a3(X0,X1,X3) ) ) ) ),
inference(ennf_transformation,[],[f1873]) ).
fof(f2878,plain,
! [X0] :
( ~ cType___24t(X0)
| ! [X1] :
( ~ cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(X0,X1)
| ~ cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(X0,X1)
| ! [X2] :
( ~ t(X2,X0)
| ! [X3] :
( ~ t(X3,X0)
| ~ p(happ(happ(X1,X2),X3))
| cQuotients_2equotient__projection___24a3(X0,X1,X2) = cQuotients_2equotient__projection___24a3(X0,X1,X3) ) ) ) ),
inference(flattening,[],[f2877]) ).
fof(f2879,plain,
! [X0,X1] :
( ~ cS___24a2(X0,X1)
| p(happ(happ(cS,X0),X1)) ),
inference(ennf_transformation,[],[f2865]) ).
fof(f2887,plain,
! [X0] :
( ~ c_24__type__163663___24t(X0)
| ! [X1] :
( ~ cA___24t(X1)
| cB___24t(happ(X0,X1)) ) ),
inference(ennf_transformation,[],[f2867]) ).
fof(f2888,plain,
! [X0] :
( ~ cB___24t(X0)
| t(X0,cB) ),
inference(ennf_transformation,[],[f2868]) ).
fof(f2889,plain,
( cA___24t(sK0)
& cA___24t(sK1)
& cR___24a2(sK0,sK1)
& cQuotients_2eInducedFunction2_2eprojf___24a1(sK0) != cQuotients_2eInducedFunction2_2eprojf___24a1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f2871]) ).
fof(f2893,plain,
cA___24t(sK0),
inference(cnf_transformation,[],[f2889]) ).
fof(f2894,plain,
cA___24t(sK1),
inference(cnf_transformation,[],[f2889]) ).
fof(f2895,plain,
cR___24a2(sK0,sK1),
inference(cnf_transformation,[],[f2889]) ).
fof(f2896,plain,
cQuotients_2eInducedFunction2_2eprojf___24a1(sK0) != cQuotients_2eInducedFunction2_2eprojf___24a1(sK1),
inference(cnf_transformation,[],[f2889]) ).
fof(f2897,plain,
! [X0] : cQuotients_2eInducedFunction2_2eprojf___24a1(X0) = happ(cQuotients_2eInducedFunction2_2eprojf,X0),
inference(cnf_transformation,[],[f2191]) ).
fof(f2898,plain,
! [X0] : cQuotients_2eInducedFunction2_2eprojf___24a1(X0) = cQuotients_2equotient__projection___24a3(cB,cS,cf___24a1(X0)),
inference(cnf_transformation,[],[f243]) ).
fof(f2903,plain,
! [X0,X1] :
( ~ cA___24t(X0)
| ~ cA___24t(X1)
| ~ cR___24a2(X0,X1)
| cS___24a2(cf___24a1(X0),cf___24a1(X1)) ),
inference(cnf_transformation,[],[f2873]) ).
fof(f2905,plain,
cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(cB,cS),
inference(cnf_transformation,[],[f1880]) ).
fof(f2906,plain,
cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(cB,cS),
inference(cnf_transformation,[],[f1579]) ).
fof(f2907,plain,
cType___24t(cB),
inference(cnf_transformation,[],[f935]) ).
fof(f2908,plain,
! [X0] : cf___24a1(X0) = happ(cf,X0),
inference(cnf_transformation,[],[f2322]) ).
fof(f2912,plain,
! [X2,X3,X0,X1] :
( ~ cType___24t(X0)
| ~ cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(X0,X1)
| ~ cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(X0,X1)
| ~ t(X2,X0)
| ~ t(X3,X0)
| ~ p(happ(happ(X1,X2),X3))
| cQuotients_2equotient__projection___24a3(X0,X1,X2) = cQuotients_2equotient__projection___24a3(X0,X1,X3) ),
inference(cnf_transformation,[],[f2878]) ).
fof(f2916,plain,
! [X0,X1] :
( ~ cS___24a2(X0,X1)
| p(happ(happ(cS,X0),X1)) ),
inference(cnf_transformation,[],[f2879]) ).
fof(f2920,plain,
c_24__type__163663___24t(cf),
inference(cnf_transformation,[],[f1580]) ).
fof(f2922,plain,
! [X0,X1] :
( ~ c_24__type__163663___24t(X0)
| ~ cA___24t(X1)
| cB___24t(happ(X0,X1)) ),
inference(cnf_transformation,[],[f2887]) ).
fof(f2923,plain,
! [X0] :
( ~ cB___24t(X0)
| t(X0,cB) ),
inference(cnf_transformation,[],[f2888]) ).
fof(f2924,plain,
happ(cQuotients_2eInducedFunction2_2eprojf,sK0) != happ(cQuotients_2eInducedFunction2_2eprojf,sK1),
inference(definition_unfolding,[],[f2896,f2897,f2897]) ).
fof(f2925,plain,
! [X0] : happ(cQuotients_2eInducedFunction2_2eprojf,X0) = cQuotients_2equotient__projection___24a3(cB,cS,happ(cf,X0)),
inference(definition_unfolding,[],[f2898,f2897,f2908]) ).
fof(f2926,plain,
! [X0,X1] :
( ~ cA___24t(X0)
| ~ cA___24t(X1)
| ~ cR___24a2(X0,X1)
| cS___24a2(happ(cf,X0),happ(cf,X1)) ),
inference(definition_unfolding,[],[f2903,f2908,f2908]) ).
tcf(c_49,negated_conjecture,
happ(cQuotients_2eInducedFunction2_2eprojf,sK0) != happ(cQuotients_2eInducedFunction2_2eprojf,sK1),
inference(cnf_transformation,[],[f2924]) ).
tcf(c_50,negated_conjecture,
cR___24a2(sK0,sK1),
inference(cnf_transformation,[],[f2895]) ).
tcf(c_51,negated_conjecture,
cA___24t(sK1),
inference(cnf_transformation,[],[f2894]) ).
tcf(c_52,negated_conjecture,
cA___24t(sK0),
inference(cnf_transformation,[],[f2893]) ).
tcf(c_53,plain,
! [X0: $i] : cQuotients_2equotient__projection___24a3(cB,cS,happ(cf,X0)) = happ(cQuotients_2eInducedFunction2_2eprojf,X0),
inference(cnf_transformation,[],[f2925]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( cS___24a2(happ(cf,X0),happ(cf,X1))
| ~ cA___24t(X1)
| ~ cA___24t(X0)
| ~ cR___24a2(X0,X1) ),
inference(cnf_transformation,[],[f2926]) ).
tcf(c_60,plain,
cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(cB,cS),
inference(cnf_transformation,[],[f2905]) ).
tcf(c_61,plain,
cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(cB,cS),
inference(cnf_transformation,[],[f2906]) ).
tcf(c_62,plain,
cType___24t(cB),
inference(cnf_transformation,[],[f2907]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cQuotients_2equotient__projection___24a3(X3,X0,X1) = cQuotients_2equotient__projection___24a3(X3,X0,X2) )
| ~ cType___24t(X3)
| ~ cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(X3,X0)
| ~ cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2(X3,X0)
| ~ t(X2,X3)
| ~ t(X1,X3)
| ~ p(happ(happ(X0,X1),X2)) ),
inference(cnf_transformation,[],[f2912]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( p(happ(happ(cS,X0),X1))
| ~ cS___24a2(X0,X1) ),
inference(cnf_transformation,[],[f2916]) ).
tcf(c_74,plain,
c_24__type__163663___24t(cf),
inference(cnf_transformation,[],[f2920]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( cB___24t(happ(X1,X0))
| ~ c_24__type__163663___24t(X1)
| ~ cA___24t(X0) ),
inference(cnf_transformation,[],[f2922]) ).
tcf(c_77,plain,
! [X0: $i] :
( t(X0,cB)
| ~ cB___24t(X0) ),
inference(cnf_transformation,[],[f2923]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( p(happ(happ(cS,X0),X1))
| ~ cS___24a2(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_70]) ).
tcf(c_104,plain,
! [X0: $i] :
( t(X0,cB)
| ~ cB___24t(X0) ),
inference(prop_impl_just,[status(thm)],[c_77]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i] :
( cB___24t(happ(X0,X1))
| ~ cA___24t(X1)
| ( X0 != cf ) ),
inference(resolution_lifted,[status(thm)],[c_74,c_76]) ).
tcf(c_442,plain,
! [X0: $i] :
( cB___24t(happ(cf,X0))
| ~ cA___24t(X0) ),
inference(unflattening,[status(thm)],[c_441]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i] :
( t(X1,cB)
| ~ cA___24t(X0)
| ( happ(cf,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_104,c_442]) ).
tcf(c_453,plain,
! [X0: $i] :
( t(happ(cf,X0),cB)
| ~ cA___24t(X0) ),
inference(unflattening,[status(thm)],[c_452]) ).
tcf(c_463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(happ(happ(cS,X1),X3))
| ~ cA___24t(X2)
| ~ cA___24t(X0)
| ~ cR___24a2(X0,X2)
| ( happ(cf,X2) != X3 )
| ( happ(cf,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_102]) ).
tcf(c_464,plain,
! [X0: $i,X1: $i] :
( p(happ(happ(cS,happ(cf,X0)),happ(cf,X1)))
| ~ cA___24t(X1)
| ~ cA___24t(X0)
| ~ cR___24a2(X0,X1) ),
inference(unflattening,[status(thm)],[c_463]) ).
tcf(c_565,plain,
! [X0: $i,X1: $i] :
( p(happ(happ(cS,happ(cf,X0)),happ(cf,X1)))
| ~ cA___24t(X1)
| ~ cA___24t(X0)
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_464]) ).
tcf(c_566,plain,
( p(happ(happ(cS,happ(cf,sK0)),happ(cf,sK1)))
| ~ cA___24t(sK1)
| ~ cA___24t(sK0) ),
inference(unflattening,[status(thm)],[c_565]) ).
tcf(c_567,plain,
p(happ(happ(cS,happ(cf,sK0)),happ(cf,sK1))),
inference(global_subsumption_just,[status(thm)],[c_566,c_52,c_51,c_566]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cQuotients_2equotient__projection___24a3(X0,X1,X2) = cQuotients_2equotient__projection___24a3(X0,X1,X3) )
| ~ cType___24t(X0)
| ~ cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(X0,X1)
| ~ t(X3,X0)
| ~ t(X2,X0)
| ~ p(happ(happ(X1,X2),X3))
| ( X1 != cS )
| ( X0 != cB ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_66]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i] :
( ( cQuotients_2equotient__projection___24a3(cB,cS,X0) = cQuotients_2equotient__projection___24a3(cB,cS,X1) )
| ~ cType___24t(cB)
| ~ cCoq_2eRelations_2eRelation__Definitions_2erelation___24t(cB,cS)
| ~ t(X1,cB)
| ~ t(X0,cB)
| ~ p(happ(happ(cS,X0),X1)) ),
inference(unflattening,[status(thm)],[c_608]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i] :
( ( cQuotients_2equotient__projection___24a3(cB,cS,X0) = cQuotients_2equotient__projection___24a3(cB,cS,X1) )
| ~ t(X1,cB)
| ~ t(X0,cB)
| ~ p(happ(happ(cS,X0),X1)) ),
inference(global_subsumption_just,[status(thm)],[c_609,c_62,c_61,c_609]) ).
tcf(c_743,plain,
! [X0: $i] :
( t(happ(cf,X0),cB)
| ~ cA___24t(X0) ),
inference(prop_impl_just,[status(thm)],[c_453]) ).
tcf(c_1602,plain,
( ( cQuotients_2equotient__projection___24a3(cB,cS,happ(cf,sK0)) = cQuotients_2equotient__projection___24a3(cB,cS,happ(cf,sK1)) )
| ~ t(happ(cf,sK1),cB)
| ~ t(happ(cf,sK0),cB) ),
inference(superposition,[status(thm)],[c_567,c_611]) ).
tcf(c_1732,plain,
( t(happ(cf,sK1),cB)
| ~ cA___24t(sK1) ),
inference(instantiation,[status(thm)],[c_743]) ).
tcf(c_1733,plain,
( t(happ(cf,sK0),cB)
| ~ cA___24t(sK0) ),
inference(instantiation,[status(thm)],[c_743]) ).
tcf(c_1739,plain,
cQuotients_2equotient__projection___24a3(cB,cS,happ(cf,sK0)) = cQuotients_2equotient__projection___24a3(cB,cS,happ(cf,sK1)),
inference(global_subsumption_just,[status(thm)],[c_1602,c_52,c_51,c_1602,c_1732,c_1733]) ).
tcf(c_1741,plain,
happ(cQuotients_2eInducedFunction2_2eprojf,sK0) = happ(cQuotients_2eInducedFunction2_2eprojf,sK1),
inference(demodulation,[status(thm)],[c_1739,c_53]) ).
tcf(c_1742,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1741,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEV667+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.19/0.46 % Computer : n015.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Thu Sep 24 15:18:26 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 0.24/0.55
% 0.24/0.55 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.55
% 0.24/0.55 % Detected problem language: tptp
% 0.24/0.57 % Proving...
% 4.65/2.02 % SZS status Started for theBenchmark.p
% 4.65/2.02 ERROR - "ProverProcess:heur/409474:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 4.65/2.02 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 4.65/2.02 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 4 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution false --res_forward_subs subset_subsumption --res_forward_subs_resolution true --res_lit_sel pos_max --res_lit_sel_side num_var --res_ordering kbo_pred --res_passive_queue_type priority_queues --res_passive_queues "[[-num_lits];[-conj_symb;-num_symb;+num_symb]]" --res_passive_queues_freq "[15;3]" --res_prop_simpl_given false --res_prop_simpl_new true --res_sim_input true --res_time_limit 202.80 --res_to_prop_solver passive --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_xi3th0zi/c9yb4u1n 2>> /export/starexec/sandbox2/tmp/iprover_out_xi3th0zi/c9yb4u1n_error
% 4.65/2.02 ERROR - "ProverProcess:heur/469571:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 4.65/2.02 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 4.65/2.02 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 6 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3.0 --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 32 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp false --inst_learning_factor 10 --inst_learning_loop_flag true --inst_learning_start 256 --inst_lit_activity_flag true --inst_lit_sel "[+sign;-ground;-non_prol_conj_symb;-num_var]" --inst_lit_sel_side num_lit --inst_orphan_elimination true --inst_passive_queue_type list --inst_passive_queues "[[-ground;-epr]]" --inst_passive_queues_freq "[2]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 0.6939020527068606 --inst_solver_per_active 8 --inst_sos_flag false --inst_start_prop_sim_after_learn 9 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 2048 --prop_solver_per_cl 128 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[DemodLightNormLoopTriv;ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 640 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_xi3th0zi/vejs8khm 2>> /export/starexec/sandbox2/tmp/iprover_out_xi3th0zi/vejs8khm_error
% 4.65/2.02 ERROR - "ProverProcess:heur/381325:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 4.65/2.02 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 4.65/2.02 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 1 --comb_sup_mult 3 --conj_cone_tolerance 3. --demod_completeness_check full --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[Demod;DemodLoopTriv;LightNorm;ACNormalisation]" --sup_full_triv "[]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes]" --sup_immed_fw_immed "[Subsumption;UnitSubsAndRes;Demod;DemodLoopTriv;LightNorm;DemodLightNormLoopTriv]" --sup_immed_fw_main "[Subsumption;SubsumptionRes;LightNorm;DemodLightNormLoopTriv]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[UnitSubsumption;NonunitSubsumption;FwDemod]" --sup_input_bw "[UnitSubsAndRes]" --sup_input_fw "[]" --sup_input_triv "[PropSubs]" --sup_iter_deepening 0 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_symb;-max_atom_input_occur];[+horn];[+bc_imp_inh;+ground;-conj_dist]]" --sup_passive_queues_freq "[3;1;25]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 8 --sup_score sim_d_gen --sup_share_max_num_cl 40 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering arity_random --sup_to_prop_solver active --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_xi3th0zi/wt8h6_s6 2>> /export/starexec/sandbox2/tmp/iprover_out_xi3th0zi/wt8h6_s6_error
% 4.65/2.02 ERROR - "ProverProcess:heur/346297:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 4.65/2.02 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 4.65/2.02 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode time_based --comb_sup_deep_mult 6 --comb_sup_mult 32 --conj_cone_tolerance 2.7380125131254 --demod_completeness_check full --demod_use_ground true --eq_ax_congr_red false --extra_neg_conj none --inst_activity_threshold 16 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_factor 6 --inst_learning_loop_flag true --inst_learning_start 1024 --inst_lit_activity_flag true --inst_lit_sel "[+depth;+sign;+num_symb;-split;-eq]" --inst_lit_sel_side cnt --inst_orphan_elimination true --inst_passive_queue_type list --inst_passive_queues "[[-num_lits];[-max_atom_input_occur;-ground]]" --inst_passive_queues_freq "[8;50]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 0.21724605765256222 --inst_solver_per_active 256 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[-depth;+non_prol_conj_symb;-split;-ground;+num_var]" --inst_start_prop_sim_after_learn 8 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd false --prep_def_merge_prop_impl true --prep_def_merge_tr_cl true --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim false --prep_sem_filter none --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten false --prep_upred true --preprocessing_flag true --prolific_symb_bound 2048 --prop_solver_per_cl 32 --pure_diseq_elim false --resolution_flag false --schedule none --share_sel_clauses false --smt_ac_axioms full --smt_preprocessing true --splitting_cvd true --splitting_cvd_svl false --splitting_grd true --splitting_mode full --splitting_nvd 128 --stats_out none --sub_typing true --subs_bck_mult 0 --sup_full_bw "[Demod]" --sup_full_fw "[Subsumption;SubsumptionRes;UnitSubsAndRes;DemodLoopTriv;DemodLightNormLoopTriv;ACJoinability;ACNormalisation]" --sup_full_triv "[PropSubs;Unflattening]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod;ACJoinability]" --sup_immed_fw_main "[SubsumptionRes;DemodLoopTriv;DemodLightNormLoopTriv;ACJoinability;ACNormalisation]" --sup_immed_triv "[]" --sup_indices_passive "[UnitSubsumption;NonunitSubsumption;Subsumption;FwDemod;BwDemod;LightNorm]" --sup_input_bw "[]" --sup_input_fw "[]" --sup_input_triv "[PropSubs;Unflattening]" --sup_iter_deepening 4 --sup_passive_queue_type queue --sup_passive_queues "[[+num_symb]]" --sup_passive_queues_freq "[5]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_smt_interval 10000 --sup_symb_ordering arity_random --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.4432297345384799 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_xi3th0zi/2chn6n2s 2>> /export/starexec/sandbox2/tmp/iprover_out_xi3th0zi/2chn6n2s_error
% 4.65/2.02 % SZS status Theorem for theBenchmark.p
% 4.65/2.02
% 4.65/2.02 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.65/2.02
% 4.65/2.02 % ------ iProver source info
% 4.65/2.02
% 4.65/2.02 % git: date: 2026-07-19 20:42:38 +0200
% 4.65/2.02 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.65/2.02 % git: non_committed_changes: false
% 4.65/2.02
% 4.65/2.02 % ------ Parsing...
% 4.65/2.02 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.65/2.02
% 4.65/2.02 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe_e %
% 4.65/2.02
% 4.65/2.02 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.65/2.02
% 4.65/2.02 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.65/2.02 % ------ Proving...
% 4.65/2.02 % ------ Problem Properties
% 4.65/2.02
% 4.65/2.02 %
% 4.65/2.02 % clauses 18
% 4.65/2.02 % conjectures 3
% 4.65/2.02 % EPR 4
% 4.65/2.02 % Horn 18
% 4.65/2.02 % unary 6
% 4.65/2.02 % binary 5
% 4.65/2.02 % lits 48
% 4.65/2.02 % lits eq 7
% 4.65/2.02 % fd_pure 0
% 4.65/2.02 % fd_pseudo 0
% 4.65/2.02 % fd_cond 0
% 4.65/2.02 % fd_pseudo_cond 0
% 4.65/2.02 % AC symbols 0
% 4.65/2.02
% 4.65/2.02 % ------ Schedule dynamic 5 is on
% 4.65/2.02
% 4.65/2.02 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.65/2.02
% 4.65/2.02
% 4.65/2.02 % ------
% 4.65/2.02 % Current options:
% 4.65/2.02 % ------
% 4.65/2.02
% 4.65/2.02
% 4.65/2.02 %
% 4.65/2.02
% 4.65/2.02 % ------ Proving...
% 4.65/2.02 %
% 4.65/2.02
% 4.65/2.02 % SZS status Theorem for theBenchmark.p
% 4.65/2.02
% 4.65/2.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.65/2.02
%------------------------------------------------------------------------------