%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU208+2 : TPTP v9.3.1. Released v3.3.0.
% 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 02:55:54 PM UTC 2026
% Result : Theorem 18.89s 4.01s
% Output : CNFRefutation 18.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 66 ( 10 unt; 0 def)
% Number of atoms : 269 ( 18 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 339 ( 136 ~; 139 |; 49 &)
% ( 8 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 6 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 : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 162 ( 0 sgn 134 !; 28 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f24,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f32,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f131,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_inverse_image(X2,X1))
<=> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X0,X3),X2)
& in(X3,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t166_relat_1) ).
fof(f132,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_inverse_image(X2,X1))
<=> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X0,X3),X2)
& in(X3,relation_rng(X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f131]) ).
fof(f139,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f187,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f225,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f231,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f305,plain,
? [X0,X1,X2] :
( relation(X2)
& ( in(X0,relation_inverse_image(X2,X1))
<~> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X0,X3),X2)
& in(X3,relation_rng(X2)) ) ) ),
inference(ennf_transformation,[],[f132]) ).
fof(f311,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ),
inference(ennf_transformation,[],[f139]) ).
fof(f312,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ),
inference(flattening,[],[f311]) ).
fof(f393,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X1) != X2
| ! [X3] :
( ( ~ in(X3,X2)
| ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) )
& ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) )
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) )
& ( ~ in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) ) ) )
| X2 = relation_inverse_image(X0,X1) ) ) ),
inference(nnf_transformation,[],[f225]) ).
fof(f394,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X1) != X2
| ! [X6] :
( ( ~ in(X6,X2)
| ? [X8] :
( in(X8,X1)
& in(ordered_pair(X6,X8),X0) ) )
& ( ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0) )
| in(X6,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ? [X5] :
( in(X5,X1)
& in(ordered_pair(X3,X5),X0) ) )
& ( ~ in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) ) ) )
| X2 = relation_inverse_image(X0,X1) ) ) ),
inference(rectify,[],[f393]) ).
fof(f395,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X1) != X2
| ! [X6] :
( ( ~ in(X6,X2)
| ( in(sK11(X0,X1,X6),X1)
& in(ordered_pair(X6,sK11(X0,X1,X6)),X0) ) )
& ( ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0) )
| in(X6,X2) ) ) )
& ( ( ( in(sK9(X0,X1,X2),X2)
| ( in(sK10(X0,X1,X2),X1)
& in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X0) ) )
& ( ~ in(sK9(X0,X1,X2),X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(sK9(X0,X1,X2),X4),X0) ) ) )
| X2 = relation_inverse_image(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X3,sK9(X0,X1,X2)),skolemize(X5,sK10(X0,X1,X2)),skolemize(X8,sK11(X0,X1,X6))],[f394]) ).
fof(f429,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(nnf_transformation,[],[f231]) ).
fof(f430,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(rectify,[],[f429]) ).
fof(f431,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ( in(sK32(X0,X1),X0)
& ~ in(sK32(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(X2,sK32(X0,X1))],[f430]) ).
fof(f482,plain,
? [X0,X1,X2] :
( relation(X2)
& ( in(X0,relation_inverse_image(X2,X1))
| ? [X3] :
( in(X3,X1)
& in(ordered_pair(X0,X3),X2)
& in(X3,relation_rng(X2)) ) )
& ( ~ in(X0,relation_inverse_image(X2,X1))
| ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,relation_rng(X2)) ) ) ),
inference(nnf_transformation,[],[f305]) ).
fof(f483,plain,
? [X0,X1,X2] :
( relation(X2)
& ( in(X0,relation_inverse_image(X2,X1))
| ? [X3] :
( in(X3,X1)
& in(ordered_pair(X0,X3),X2)
& in(X3,relation_rng(X2)) ) )
& ( ~ in(X0,relation_inverse_image(X2,X1))
| ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,relation_rng(X2)) ) ) ),
inference(flattening,[],[f482]) ).
fof(f484,plain,
? [X0,X1,X2] :
( relation(X2)
& ( in(X0,relation_inverse_image(X2,X1))
| ? [X4] :
( in(X4,X1)
& in(ordered_pair(X0,X4),X2)
& in(X4,relation_rng(X2)) ) )
& ( ~ in(X0,relation_inverse_image(X2,X1))
| ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,relation_rng(X2)) ) ) ),
inference(rectify,[],[f483]) ).
fof(f485,plain,
( relation(sK63)
& ( in(sK61,relation_inverse_image(sK63,sK62))
| ( in(sK64,sK62)
& in(ordered_pair(sK61,sK64),sK63)
& in(sK64,relation_rng(sK63)) ) )
& ( ~ in(sK61,relation_inverse_image(sK63,sK62))
| ! [X3] :
( ~ in(X3,sK62)
| ~ in(ordered_pair(sK61,X3),sK63)
| ~ in(X3,relation_rng(sK63)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61,sK62,sK63,sK64]),skolemize(X0,sK61),skolemize(X1,sK62),skolemize(X2,sK63),skolemize(X4,sK64)],[f484]) ).
fof(f540,plain,
! [X2,X0,X1,X6] :
( ~ relation(X0)
| relation_inverse_image(X0,X1) != X2
| ~ in(X6,X2)
| in(sK11(X0,X1,X6),X1) ),
inference(cnf_transformation,[],[f395]) ).
fof(f541,plain,
! [X2,X0,X1,X6] :
( ~ relation(X0)
| relation_inverse_image(X0,X1) != X2
| ~ in(X6,X2)
| in(ordered_pair(X6,sK11(X0,X1,X6)),X0) ),
inference(cnf_transformation,[],[f395]) ).
fof(f542,plain,
! [X2,X0,X1,X6,X7] :
( ~ relation(X0)
| relation_inverse_image(X0,X1) != X2
| ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0)
| in(X6,X2) ),
inference(cnf_transformation,[],[f395]) ).
fof(f598,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f431]) ).
fof(f629,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f750,plain,
relation(sK63),
inference(cnf_transformation,[],[f485]) ).
fof(f751,plain,
( in(sK61,relation_inverse_image(sK63,sK62))
| in(sK64,sK62) ),
inference(cnf_transformation,[],[f485]) ).
fof(f752,plain,
( in(sK61,relation_inverse_image(sK63,sK62))
| in(ordered_pair(sK61,sK64),sK63) ),
inference(cnf_transformation,[],[f485]) ).
fof(f754,plain,
! [X3] :
( ~ in(sK61,relation_inverse_image(sK63,sK62))
| ~ in(X3,sK62)
| ~ in(ordered_pair(sK61,X3),sK63)
| ~ in(X3,relation_rng(sK63)) ),
inference(cnf_transformation,[],[f485]) ).
fof(f761,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| in(X1,relation_rng(X2)) ),
inference(cnf_transformation,[],[f312]) ).
fof(f830,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f187]) ).
fof(f859,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f629,f830]) ).
fof(f885,plain,
! [X2,X0,X1,X6,X7] :
( ~ relation(X0)
| relation_inverse_image(X0,X1) != X2
| ~ in(X7,X1)
| ~ in(unordered_pair(unordered_pair(X6,X7),unordered_pair(X6,X6)),X0)
| in(X6,X2) ),
inference(definition_unfolding,[],[f542,f859]) ).
fof(f886,plain,
! [X2,X0,X1,X6] :
( ~ relation(X0)
| relation_inverse_image(X0,X1) != X2
| ~ in(X6,X2)
| in(unordered_pair(unordered_pair(X6,sK11(X0,X1,X6)),unordered_pair(X6,X6)),X0) ),
inference(definition_unfolding,[],[f541,f859]) ).
fof(f954,plain,
! [X3] :
( ~ in(sK61,relation_inverse_image(sK63,sK62))
| ~ in(X3,sK62)
| ~ in(unordered_pair(unordered_pair(sK61,X3),unordered_pair(sK61,sK61)),sK63)
| ~ in(X3,relation_rng(sK63)) ),
inference(definition_unfolding,[],[f754,f859]) ).
fof(f955,plain,
( in(sK61,relation_inverse_image(sK63,sK62))
| in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),sK63) ),
inference(definition_unfolding,[],[f752,f859]) ).
fof(f960,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X1,relation_rng(X2)) ),
inference(definition_unfolding,[],[f761,f859]) ).
fof(f1001,plain,
! [X0,X1,X6,X7] :
( ~ relation(X0)
| ~ in(X7,X1)
| ~ in(unordered_pair(unordered_pair(X6,X7),unordered_pair(X6,X6)),X0)
| in(X6,relation_inverse_image(X0,X1)) ),
inference(equality_resolution,[],[f885]) ).
fof(f1002,plain,
! [X0,X1,X6] :
( ~ relation(X0)
| ~ in(X6,relation_inverse_image(X0,X1))
| in(unordered_pair(unordered_pair(X6,sK11(X0,X1,X6)),unordered_pair(X6,X6)),X0) ),
inference(equality_resolution,[],[f886]) ).
fof(f1003,plain,
! [X0,X1,X6] :
( ~ relation(X0)
| ~ in(X6,relation_inverse_image(X0,X1))
| in(sK11(X0,X1,X6),X1) ),
inference(equality_resolution,[],[f540]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(X0,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(X1,X3)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2) ),
inference(cnf_transformation,[],[f1001]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(unordered_pair(unordered_pair(X0,sK11(X1,X2,X0)),unordered_pair(X0,X0)),X1)
| ~ relation(X1)
| ~ in(X0,relation_inverse_image(X1,X2)) ),
inference(cnf_transformation,[],[f1002]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK11(X1,X2,X0),X2)
| ~ relation(X1)
| ~ in(X0,relation_inverse_image(X1,X2)) ),
inference(cnf_transformation,[],[f1003]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,X2)
| ~ subset(X1,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f598]) ).
tcf(c_291,negated_conjecture,
! [X0: $i] :
( ~ in(X0,sK62)
| ~ in(X0,relation_rng(sK63))
| ~ in(sK61,relation_inverse_image(sK63,sK62))
| ~ in(unordered_pair(unordered_pair(sK61,X0),unordered_pair(sK61,sK61)),sK63) ),
inference(cnf_transformation,[],[f954]) ).
tcf(c_293,negated_conjecture,
( in(sK61,relation_inverse_image(sK63,sK62))
| in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),sK63) ),
inference(cnf_transformation,[],[f955]) ).
tcf(c_294,negated_conjecture,
( in(sK64,sK62)
| in(sK61,relation_inverse_image(sK63,sK62)) ),
inference(cnf_transformation,[],[f751]) ).
tcf(c_295,negated_conjecture,
relation(sK63),
inference(cnf_transformation,[],[f750]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2) ),
inference(cnf_transformation,[],[f960]) ).
tcf(c_1898,plain,
( in(sK11(sK63,sK62,sK61),sK62)
| ~ relation(sK63)
| ~ in(sK61,relation_inverse_image(sK63,sK62)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_2414,plain,
! [X0: $i] :
( in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),X0)
| ~ subset(sK63,X0)
| ~ in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),sK63) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_2433,plain,
! [X0: $i] :
( in(sK61,relation_inverse_image(sK63,X0))
| ~ relation(sK63)
| ~ in(sK64,X0)
| ~ in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),sK63) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_3709,plain,
( in(unordered_pair(unordered_pair(sK61,sK11(sK63,sK62,sK61)),unordered_pair(sK61,sK61)),sK63)
| ~ relation(sK63)
| ~ in(sK61,relation_inverse_image(sK63,sK62)) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_3845,plain,
( ~ in(sK61,relation_inverse_image(sK63,sK62))
| ~ in(sK11(sK63,sK62,sK61),sK62)
| ~ in(sK11(sK63,sK62,sK61),relation_rng(sK63))
| ~ in(unordered_pair(unordered_pair(sK61,sK11(sK63,sK62,sK61)),unordered_pair(sK61,sK61)),sK63) ),
inference(instantiation,[status(thm)],[c_291]) ).
tcf(c_10952,plain,
( in(sK11(sK63,sK62,sK61),relation_rng(sK63))
| ~ relation(sK63)
| ~ in(unordered_pair(unordered_pair(sK61,sK11(sK63,sK62,sK61)),unordered_pair(sK61,sK61)),sK63) ),
inference(instantiation,[status(thm)],[c_303]) ).
tcf(c_11146,plain,
! [X0: $i] :
( in(sK64,sK62)
| in(sK61,X0)
| ~ subset(relation_inverse_image(sK63,sK62),X0) ),
inference(superposition,[status(thm)],[c_294,c_142]) ).
tcf(c_11147,plain,
! [X0: $i] :
( in(sK61,relation_inverse_image(sK63,sK62))
| in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),X0)
| ~ subset(sK63,X0) ),
inference(superposition,[status(thm)],[c_293,c_142]) ).
tcf(c_11846,plain,
in(sK64,sK62),
inference(global_subsumption_just,[status(thm)],[c_11146,c_295,c_294,c_1898,c_3709,c_3845,c_10952]) ).
tcf(c_12741,plain,
! [X0: $i] :
( ~ subset(sK63,X0)
| in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_11147,c_295,c_293,c_1898,c_2414,c_3709,c_3845,c_10952]) ).
tcf(c_12742,plain,
! [X0: $i] :
( in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),X0)
| ~ subset(sK63,X0) ),
inference(renaming,[status(thm)],[c_12741]) ).
tcf(c_12764,plain,
( ~ subset(sK63,sK63)
| ~ in(sK64,sK62)
| ~ in(sK64,relation_rng(sK63))
| ~ in(sK61,relation_inverse_image(sK63,sK62)) ),
inference(superposition,[status(thm)],[c_12742,c_291]) ).
tcf(c_15944,plain,
~ in(sK61,relation_inverse_image(sK63,sK62)),
inference(global_subsumption_just,[status(thm)],[c_12764,c_295,c_1898,c_3709,c_3845,c_10952]) ).
tcf(c_17502,plain,
( in(sK61,relation_inverse_image(sK63,sK62))
| ~ relation(sK63)
| ~ in(sK64,sK62)
| ~ in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),sK63) ),
inference(instantiation,[status(thm)],[c_2433]) ).
tcf(c_17503,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_17502,c_15944,c_11846,c_293,c_295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU208+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.58 % Computer : n015.cluster.edu
% 0.12/0.58 % Model : x86_64 x86_64
% 0.12/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.58 % Memory : 8046.5625MB
% 0.12/0.58 % OS : Linux 6.8.0-71-generic
% 0.12/0.58 % CPULimit : 300
% 0.12/0.58 % WCLimit : 300
% 0.12/0.58 % DateTime : Thu Sep 24 13:14:12 UTC 2026
% 0.12/0.58 % CPUTime :
% 0.12/0.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.62 Running first-order theorem proving
% 0.12/0.62 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
% 0.15/0.63
% 0.15/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.63
% 0.15/0.63 % Detected problem language: tptp
% 0.15/0.64 % Proving...
% 18.89/4.01 % SZS status Started for theBenchmark.p
% 18.89/4.01 % SZS status Theorem for theBenchmark.p
% 18.89/4.01
% 18.89/4.01 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.89/4.01
% 18.89/4.01 % ------ iProver source info
% 18.89/4.01
% 18.89/4.01 % git: date: 2026-07-19 20:42:38 +0200
% 18.89/4.01 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.89/4.01 % git: non_committed_changes: false
% 18.89/4.01
% 18.89/4.01 % ------ Parsing...
% 18.89/4.01 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.89/4.01
% 18.89/4.01 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 18.89/4.01
% 18.89/4.01 % ------ Preprocessing...%
% 18.89/4.01
% 18.89/4.01 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.89/4.01 % ------ Proving...
% 18.89/4.01 % ------ Problem Properties
% 18.89/4.01
% 18.89/4.01 %
% 18.89/4.01 % clauses 326
% 18.89/4.01 % conjectures 25
% 18.89/4.01 % EPR 32
% 18.89/4.01 % Horn 260
% 18.89/4.01 % unary 52
% 18.89/4.01 % binary 108
% 18.89/4.01 % lits 870
% 18.89/4.01 % lits eq 167
% 18.89/4.01 % fd_pure 0
% 18.89/4.01 % fd_pseudo 0
% 18.89/4.01 % fd_cond 13
% 18.89/4.01 % fd_pseudo_cond 68
% 18.89/4.01 % AC symbols 0
% 18.89/4.01
% 18.89/4.01 % ------ Input Options Time Limit: Unbounded
% 18.89/4.01
% 18.89/4.01
% 18.89/4.01 % ------
% 18.89/4.01 % Current options:
% 18.89/4.01 % ------
% 18.89/4.01
% 18.89/4.01
% 18.89/4.01 %
% 18.89/4.01
% 18.89/4.01 % ------ Proving...
% 18.89/4.01 %
% 18.89/4.01
% 18.89/4.01 % SZS status Theorem for theBenchmark.p
% 18.89/4.01
% 18.89/4.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.89/4.01
% 18.89/4.01
%------------------------------------------------------------------------------