%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU012+1 : TPTP v9.3.1. Released v3.2.0.
% 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 02:55:04 PM UTC 2026
% Result : Theorem 100.40s 30.03s
% Output : CNFRefutation 100.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 64 ( 17 unt; 0 def)
% Number of atoms : 306 ( 116 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 399 ( 157 ~; 160 |; 61 &)
% ( 9 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 6 ( 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 : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 98 !; 16 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f30,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f32,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( X1 = identity_relation(X0)
<=> ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f34,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( relation_composition(X0,X1) = X0
& relation_rng(X0) = relation_dom(X1) )
=> X1 = identity_relation(relation_dom(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_funct_1) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( relation_composition(X0,X1) = X0
& relation_rng(X0) = relation_dom(X1) )
=> X1 = identity_relation(relation_dom(X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f48,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f49,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) ) ) ),
inference(flattening,[],[f48]) ).
fof(f66,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ~ in(X0,relation_dom(X1))
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f67,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ~ in(X0,relation_dom(X1))
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ),
inference(flattening,[],[f66]) ).
fof(f70,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ( X1 = identity_relation(X0)
<=> ( ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f71,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ( X1 = identity_relation(X0)
<=> ( ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) ) ),
inference(flattening,[],[f70]) ).
fof(f73,plain,
? [X0] :
( function(X0)
& relation(X0)
& ? [X1] :
( function(X1)
& relation(X1)
& relation_composition(X0,X1) = X0
& relation_rng(X0) = relation_dom(X1)
& identity_relation(relation_dom(X1)) != X1 ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f74,plain,
? [X0] :
( function(X0)
& relation(X0)
& ? [X1] :
( function(X1)
& relation(X1)
& relation_composition(X0,X1) = X0
& relation_rng(X0) = relation_dom(X1)
& identity_relation(relation_dom(X1)) != X1 ) ),
inference(flattening,[],[f73]) ).
fof(f81,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) )
& ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) )
& ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) ) )
| X1 = relation_rng(X0) ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f82,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) ) )
& ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| in(X5,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) ) )
& ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) ) )
| X1 = relation_rng(X0) ) ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ( apply(X0,sK2(X0,X5)) = X5
& in(sK2(X0,X5),relation_dom(X0)) ) )
& ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| in(X5,X1) ) ) )
& ( ( ( in(sK0(X0,X1),X1)
| ( sK0(X0,X1) = apply(X0,sK1(X0,X1))
& in(sK1(X0,X1),relation_dom(X0)) ) )
& ( ~ in(sK0(X0,X1),X1)
| ! [X3] :
( apply(X0,X3) != sK0(X0,X1)
| ~ in(X3,relation_dom(X0)) ) ) )
| X1 = relation_rng(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X2,sK0(X0,X1)),skolemize(X4,sK1(X0,X1)),skolemize(X7,sK2(X0,X5))],[f82]) ).
fof(f93,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ( ( identity_relation(X0) != X1
| ( ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) )
& ( ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 )
| relation_dom(X1) != X0
| X1 = identity_relation(X0) ) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f94,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ( ( identity_relation(X0) != X1
| ( ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) )
& ( ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 )
| relation_dom(X1) != X0
| X1 = identity_relation(X0) ) ) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ( ( identity_relation(X0) != X1
| ( ! [X3] :
( ~ in(X3,X0)
| apply(X1,X3) = X3 )
& relation_dom(X1) = X0 ) )
& ( ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 )
| relation_dom(X1) != X0
| X1 = identity_relation(X0) ) ) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ( ( identity_relation(X0) != X1
| ( ! [X3] :
( ~ in(X3,X0)
| apply(X1,X3) = X3 )
& relation_dom(X1) = X0 ) )
& ( ( in(sK12(X0,X1),X0)
& sK12(X0,X1) != apply(X1,sK12(X0,X1)) )
| relation_dom(X1) != X0
| X1 = identity_relation(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f95]) ).
fof(f97,plain,
( function(sK13)
& relation(sK13)
& function(sK14)
& relation(sK14)
& sK13 = relation_composition(sK13,sK14)
& relation_dom(sK14) = relation_rng(sK13)
& sK14 != identity_relation(relation_dom(sK14)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f74]) ).
fof(f101,plain,
! [X0,X1,X5] :
( ~ function(X0)
| ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| apply(X0,sK2(X0,X5)) = X5 ),
inference(cnf_transformation,[],[f83]) ).
fof(f102,plain,
! [X0,X1,X5] :
( ~ function(X0)
| ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| in(sK2(X0,X5),relation_dom(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X0,relation_dom(X1))
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f149,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| in(sK12(X0,X1),X0)
| relation_dom(X1) != X0
| identity_relation(X0) = X1 ),
inference(cnf_transformation,[],[f96]) ).
fof(f150,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| sK12(X0,X1) != apply(X1,sK12(X0,X1))
| relation_dom(X1) != X0
| identity_relation(X0) = X1 ),
inference(cnf_transformation,[],[f96]) ).
fof(f152,plain,
function(sK13),
inference(cnf_transformation,[],[f97]) ).
fof(f153,plain,
relation(sK13),
inference(cnf_transformation,[],[f97]) ).
fof(f154,plain,
function(sK14),
inference(cnf_transformation,[],[f97]) ).
fof(f155,plain,
relation(sK14),
inference(cnf_transformation,[],[f97]) ).
fof(f156,plain,
sK13 = relation_composition(sK13,sK14),
inference(cnf_transformation,[],[f97]) ).
fof(f157,plain,
relation_dom(sK14) = relation_rng(sK13),
inference(cnf_transformation,[],[f97]) ).
fof(f158,plain,
sK14 != identity_relation(relation_dom(sK14)),
inference(cnf_transformation,[],[f97]) ).
fof(f166,plain,
! [X0,X5] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X5,relation_rng(X0))
| in(sK2(X0,X5),relation_dom(X0)) ),
inference(equality_resolution,[],[f102]) ).
fof(f167,plain,
! [X0,X5] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X5,relation_rng(X0))
| apply(X0,sK2(X0,X5)) = X5 ),
inference(equality_resolution,[],[f101]) ).
fof(f168,plain,
! [X1] :
( ~ function(X1)
| ~ relation(X1)
| sK12(relation_dom(X1),X1) != apply(X1,sK12(relation_dom(X1),X1))
| identity_relation(relation_dom(X1)) = X1 ),
inference(equality_resolution,[],[f150]) ).
fof(f169,plain,
! [X1] :
( ~ function(X1)
| ~ relation(X1)
| in(sK12(relation_dom(X1),X1),relation_dom(X1))
| identity_relation(relation_dom(X1)) = X1 ),
inference(equality_resolution,[],[f149]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( in(sK2(X1,X0),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ( apply(X1,sK2(X1,X0)) = X0 )
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) )
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X2)
| ~ function(X1)
| ~ in(X0,relation_dom(X1)) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_98,plain,
! [X0: $i] :
( ( identity_relation(relation_dom(X0)) = X0 )
| ~ relation(X0)
| ~ function(X0)
| ( apply(X0,sK12(relation_dom(X0),X0)) != sK12(relation_dom(X0),X0) ) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_99,plain,
! [X0: $i] :
( in(sK12(relation_dom(X0),X0),relation_dom(X0))
| ( identity_relation(relation_dom(X0)) = X0 )
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_103,negated_conjecture,
identity_relation(relation_dom(sK14)) != sK14,
inference(cnf_transformation,[],[f158]) ).
tcf(c_104,negated_conjecture,
relation_rng(sK13) = relation_dom(sK14),
inference(cnf_transformation,[],[f157]) ).
tcf(c_105,negated_conjecture,
relation_composition(sK13,sK14) = sK13,
inference(cnf_transformation,[],[f156]) ).
tcf(c_106,negated_conjecture,
relation(sK14),
inference(cnf_transformation,[],[f155]) ).
tcf(c_107,negated_conjecture,
function(sK14),
inference(cnf_transformation,[],[f154]) ).
tcf(c_108,negated_conjecture,
relation(sK13),
inference(cnf_transformation,[],[f153]) ).
tcf(c_109,negated_conjecture,
function(sK13),
inference(cnf_transformation,[],[f152]) ).
tcf(c_31159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply(relation_composition(X1,X2),sK2(X1,X0)) = apply(X2,apply(X1,sK2(X1,X0))) )
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X2)
| ~ function(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(superposition,[status(thm)],[c_56,c_96]) ).
tcf(c_31168,plain,
! [X0: $i] :
( ( apply(sK13,sK2(sK13,X0)) = X0 )
| ~ relation(sK13)
| ~ function(sK13)
| ~ in(X0,relation_dom(sK14)) ),
inference(superposition,[status(thm)],[c_104,c_57]) ).
tcf(c_31169,plain,
! [X0: $i] :
( ( apply(sK13,sK2(sK13,X0)) = X0 )
| ~ in(X0,relation_dom(sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31168,c_108,c_109]) ).
tcf(c_31174,plain,
( ( identity_relation(relation_dom(sK14)) = sK14 )
| ( apply(sK13,sK2(sK13,sK12(relation_dom(sK14),sK14))) = sK12(relation_dom(sK14),sK14) )
| ~ relation(sK14)
| ~ function(sK14) ),
inference(superposition,[status(thm)],[c_99,c_31169]) ).
tcf(c_31177,plain,
apply(sK13,sK2(sK13,sK12(relation_dom(sK14),sK14))) = sK12(relation_dom(sK14),sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_31174,c_103,c_106,c_107]) ).
tcf(c_34942,plain,
! [X0: $i,X1: $i] :
( ( apply(relation_composition(sK13,X1),sK2(sK13,X0)) = apply(X1,apply(sK13,sK2(sK13,X0))) )
| ~ relation(sK13)
| ~ function(sK13)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_dom(sK14)) ),
inference(superposition,[status(thm)],[c_104,c_31159]) ).
tcf(c_34943,plain,
! [X0: $i,X1: $i] :
( ( apply(relation_composition(sK13,X1),sK2(sK13,X0)) = apply(X1,apply(sK13,sK2(sK13,X0))) )
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_dom(sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34942,c_108,c_109]) ).
tcf(c_34973,plain,
! [X0: $i] :
( ( identity_relation(relation_dom(sK14)) = sK14 )
| ( apply(relation_composition(sK13,X0),sK2(sK13,sK12(relation_dom(sK14),sK14))) = apply(X0,apply(sK13,sK2(sK13,sK12(relation_dom(sK14),sK14)))) )
| ~ relation(sK14)
| ~ function(sK14)
| ~ relation(X0)
| ~ function(X0) ),
inference(superposition,[status(thm)],[c_99,c_34943]) ).
tcf(c_35006,plain,
! [X0: $i] :
( ( identity_relation(relation_dom(sK14)) = sK14 )
| ( apply(relation_composition(sK13,X0),sK2(sK13,sK12(relation_dom(sK14),sK14))) = apply(X0,sK12(relation_dom(sK14),sK14)) )
| ~ relation(sK14)
| ~ function(sK14)
| ~ relation(X0)
| ~ function(X0) ),
inference(demodulation,[status(thm)],[c_34973,c_31177]) ).
tcf(c_35007,plain,
! [X0: $i] :
( ( apply(relation_composition(sK13,X0),sK2(sK13,sK12(relation_dom(sK14),sK14))) = apply(X0,sK12(relation_dom(sK14),sK14)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35006,c_103,c_106,c_107]) ).
tcf(c_35016,plain,
( ( apply(relation_composition(sK13,sK14),sK2(sK13,sK12(relation_dom(sK14),sK14))) = apply(sK14,sK12(relation_dom(sK14),sK14)) )
| ~ relation(sK14) ),
inference(superposition,[status(thm)],[c_107,c_35007]) ).
tcf(c_35023,plain,
( ( apply(sK14,sK12(relation_dom(sK14),sK14)) = sK12(relation_dom(sK14),sK14) )
| ~ relation(sK14) ),
inference(demodulation,[status(thm)],[c_35016,c_105,c_31177]) ).
tcf(c_35024,plain,
apply(sK14,sK12(relation_dom(sK14),sK14)) = sK12(relation_dom(sK14),sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_35023,c_106]) ).
tcf(c_35055,plain,
( ( identity_relation(relation_dom(sK14)) = sK14 )
| ~ relation(sK14)
| ~ function(sK14) ),
inference(superposition,[status(thm)],[c_35024,c_98]) ).
tcf(c_35056,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_35055,c_103,c_106,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU012+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 12:33:57 UTC 2026
% 0.15/0.36 % CPUTime :
% 0.15/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 0.15/0.41
% 0.15/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.41
% 0.15/0.41 % Detected problem language: tptp
% 0.15/0.42 % Proving...
% 100.40/30.03 % SZS status Started for theBenchmark.p
% 100.40/30.03 % SZS status Theorem for theBenchmark.p
% 100.40/30.03
% 100.40/30.03 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 100.40/30.03
% 100.40/30.03 % ------ iProver source info
% 100.40/30.03
% 100.40/30.03 % git: date: 2026-07-19 20:42:38 +0200
% 100.40/30.03 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 100.40/30.03 % git: non_committed_changes: false
% 100.40/30.03
% 100.40/30.03 % ------ Parsing...
% 100.40/30.03 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 100.40/30.03
% 100.40/30.03 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 100.40/30.03
% 100.40/30.03 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 100.40/30.03
% 100.40/30.03 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 100.40/30.03 % ------ Proving...
% 100.40/30.03 % ------ Problem Properties
% 100.40/30.03
% 100.40/30.03 %
% 100.40/30.03 % clauses 60
% 100.40/30.03 % conjectures 7
% 100.40/30.03 % EPR 23
% 100.40/30.03 % Horn 55
% 100.40/30.03 % unary 26
% 100.40/30.03 % binary 13
% 100.40/30.03 % lits 132
% 100.40/30.03 % lits eq 17
% 100.40/30.03 % fd_pure 0
% 100.40/30.03 % fd_pseudo 0
% 100.40/30.03 % fd_cond 1
% 100.40/30.03 % fd_pseudo_cond 4
% 100.40/30.03 % AC symbols 0
% 100.40/30.03
% 100.40/30.03 % ------ Input Options Time Limit: Unbounded
% 100.40/30.03
% 100.40/30.03
% 100.40/30.03 % ------
% 100.40/30.03 % Current options:
% 100.40/30.03 % ------
% 100.40/30.03
% 100.40/30.03
% 100.40/30.03 %
% 100.40/30.03
% 100.40/30.03 % ------ Proving...
% 100.40/30.03 %
% 100.40/30.03
% 100.40/30.03 % SZS status Theorem for theBenchmark.p
% 100.40/30.03
% 100.40/30.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 100.40/30.04
% 100.40/30.04
%------------------------------------------------------------------------------