%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU212+3 : 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 : n005.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 02:55:55 PM UTC 2026
% Result : Theorem 2.59s 6.29s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 82 ( 27 unt; 5 def)
% Number of atoms : 296 ( 70 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 311 ( 124 ~; 129 |; 38 &)
% ( 12 <=>; 6 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 5 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 : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 130 ( 0 sgn 110 !; 20 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( ( ~ in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> X2 = empty_set ) )
& ( in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f7,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(f35,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(ordered_pair(X0,X1),X2)
<=> ( X1 = apply(X2,X0)
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_funct_1) ).
fof(f36,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(ordered_pair(X0,X1),X2)
<=> ( X1 = apply(X2,X0)
& in(X0,relation_dom(X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f44,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( ( in(X1,relation_dom(X0))
| ( X2 = apply(X0,X1)
<=> X2 = empty_set ) )
& ( ~ in(X1,relation_dom(X0))
| ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f45,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( ( in(X1,relation_dom(X0))
| ( X2 = apply(X0,X1)
<=> X2 = empty_set ) )
& ( ~ in(X1,relation_dom(X0))
| ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) ) ) ) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f61,plain,
? [X0,X1,X2] :
( function(X2)
& relation(X2)
& ( in(ordered_pair(X0,X1),X2)
<~> ( X1 = apply(X2,X0)
& in(X0,relation_dom(X2)) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f62,plain,
? [X0,X1,X2] :
( function(X2)
& relation(X2)
& ( in(ordered_pair(X0,X1),X2)
<~> ( X1 = apply(X2,X0)
& in(X0,relation_dom(X2)) ) ) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( ( in(X1,relation_dom(X0))
| ( ( apply(X0,X1) != X2
| X2 = empty_set )
& ( empty_set != X2
| X2 = apply(X0,X1) ) ) )
& ( ~ in(X1,relation_dom(X0))
| ( ( apply(X0,X1) != X2
| in(ordered_pair(X1,X2),X0) )
& ( ~ in(ordered_pair(X1,X2),X0)
| X2 = apply(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f64,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_dom(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| ? [X3] : in(ordered_pair(X2,X3),X0) )
& ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X3] : in(ordered_pair(X2,X3),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
| X1 = relation_dom(X0) ) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f65,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_dom(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ? [X7] : in(ordered_pair(X5,X7),X0) )
& ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| in(X5,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X4] : in(ordered_pair(X2,X4),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
| X1 = relation_dom(X0) ) ) ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_dom(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| in(ordered_pair(X5,sK2(X0,X5)),X0) )
& ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| in(X5,X1) ) ) )
& ( ( ( in(sK0(X0,X1),X1)
| in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0) )
& ( ~ in(sK0(X0,X1),X1)
| ! [X3] : ~ in(ordered_pair(sK0(X0,X1),X3),X0) ) )
| X1 = relation_dom(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))],[f65]) ).
fof(f76,plain,
? [X0,X1,X2] :
( function(X2)
& relation(X2)
& ( in(ordered_pair(X0,X1),X2)
| ( X1 = apply(X2,X0)
& in(X0,relation_dom(X2)) ) )
& ( ~ in(ordered_pair(X0,X1),X2)
| apply(X2,X0) != X1
| ~ in(X0,relation_dom(X2)) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f77,plain,
? [X0,X1,X2] :
( function(X2)
& relation(X2)
& ( in(ordered_pair(X0,X1),X2)
| ( X1 = apply(X2,X0)
& in(X0,relation_dom(X2)) ) )
& ( ~ in(ordered_pair(X0,X1),X2)
| apply(X2,X0) != X1
| ~ in(X0,relation_dom(X2)) ) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
( function(sK14)
& relation(sK14)
& ( in(ordered_pair(sK12,sK13),sK14)
| ( sK13 = apply(sK14,sK12)
& in(sK12,relation_dom(sK14)) ) )
& ( ~ in(ordered_pair(sK12,sK13),sK14)
| sK13 != apply(sK14,sK12)
| ~ in(sK12,relation_dom(sK14)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14)],[f77]) ).
fof(f82,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) != X2
| in(ordered_pair(X1,X2),X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| ~ in(ordered_pair(X1,X2),X0)
| apply(X0,X1) = X2 ),
inference(cnf_transformation,[],[f63]) ).
fof(f88,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| relation_dom(X0) != X1
| ~ in(ordered_pair(X5,X6),X0)
| in(X5,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f91,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f127,plain,
function(sK14),
inference(cnf_transformation,[],[f78]) ).
fof(f128,plain,
relation(sK14),
inference(cnf_transformation,[],[f78]) ).
fof(f129,plain,
( in(ordered_pair(sK12,sK13),sK14)
| sK13 = apply(sK14,sK12) ),
inference(cnf_transformation,[],[f78]) ).
fof(f130,plain,
( in(ordered_pair(sK12,sK13),sK14)
| in(sK12,relation_dom(sK14)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f131,plain,
( ~ in(ordered_pair(sK12,sK13),sK14)
| sK13 != apply(sK14,sK12)
| ~ in(sK12,relation_dom(sK14)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
| apply(X0,X1) = X2 ),
inference(definition_unfolding,[],[f86,f91]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) != X2
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0) ),
inference(definition_unfolding,[],[f85,f91]) ).
fof(f136,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| relation_dom(X0) != X1
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(X5,X1) ),
inference(definition_unfolding,[],[f88,f91]) ).
fof(f139,plain,
( ~ in(unordered_pair(unordered_pair(sK12,sK13),singleton(sK12)),sK14)
| sK13 != apply(sK14,sK12)
| ~ in(sK12,relation_dom(sK14)) ),
inference(definition_unfolding,[],[f131,f91]) ).
fof(f140,plain,
( in(unordered_pair(unordered_pair(sK12,sK13),singleton(sK12)),sK14)
| in(sK12,relation_dom(sK14)) ),
inference(definition_unfolding,[],[f130,f91]) ).
fof(f141,plain,
( in(unordered_pair(unordered_pair(sK12,sK13),singleton(sK12)),sK14)
| sK13 = apply(sK14,sK12) ),
inference(definition_unfolding,[],[f129,f91]) ).
fof(f142,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| in(unordered_pair(unordered_pair(X1,apply(X0,X1)),singleton(X1)),X0) ),
inference(equality_resolution,[],[f133]) ).
fof(f145,plain,
! [X0,X6,X5] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(X5,relation_dom(X0)) ),
inference(equality_resolution,[],[f136]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f82]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply(X2,X0) = X1 )
| ~ relation(X2)
| ~ function(X2)
| ~ in(X0,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(unordered_pair(X0,apply(X1,X0)),singleton(X0)),X1)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_dom(X1)) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_96,negated_conjecture,
( ~ in(sK12,relation_dom(sK14))
| ~ in(unordered_pair(unordered_pair(sK12,sK13),singleton(sK12)),sK14)
| ( apply(sK14,sK12) != sK13 ) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_97,negated_conjecture,
( in(sK12,relation_dom(sK14))
| in(unordered_pair(unordered_pair(sK12,sK13),singleton(sK12)),sK14) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_98,negated_conjecture,
( in(unordered_pair(unordered_pair(sK12,sK13),singleton(sK12)),sK14)
| ( apply(sK14,sK12) = sK13 ) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_99,negated_conjecture,
relation(sK14),
inference(cnf_transformation,[],[f128]) ).
tcf(c_100,negated_conjecture,
function(sK14),
inference(cnf_transformation,[],[f127]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply(X2,X0) = X1 )
| ~ relation(X2)
| ~ function(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(global_subsumption_just,[status(thm)],[c_53,c_59,c_53]) ).
tcf(c_376,plain,
( in(sK12,relation_dom(sK14))
| in(unordered_pair(singleton(sK12),unordered_pair(sK12,sK13)),sK14) ),
inference(demodulation,[status(thm)],[c_97,c_52]) ).
tcf(c_395,plain,
( in(unordered_pair(singleton(sK12),unordered_pair(sK12,sK13)),sK14)
| ( apply(sK14,sK12) = sK13 ) ),
inference(demodulation,[status(thm)],[c_98,c_52]) ).
tcf(c_402,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2) ),
inference(demodulation,[status(thm)],[c_59,c_52]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply(X2,X0) = X1 )
| ~ relation(X2)
| ~ function(X2)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2) ),
inference(demodulation,[status(thm)],[c_131,c_52]) ).
tcf(c_443,plain,
( ~ in(sK12,relation_dom(sK14))
| ~ in(unordered_pair(singleton(sK12),unordered_pair(sK12,sK13)),sK14)
| ( apply(sK14,sK12) != sK13 ) ),
inference(demodulation,[status(thm)],[c_96,c_52]) ).
tcf(c_453,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,apply(X1,X0))),X1)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_dom(X1)) ),
inference(demodulation,[status(thm)],[c_54,c_52]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(singleton(X1),unordered_pair(X1,apply(X0,X1))),X0)
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_453,c_100]) ).
tcf(c_562,plain,
! [X0: $i] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,apply(sK14,X0))),sK14)
| ~ relation(sK14)
| ~ in(X0,relation_dom(sK14)) ),
inference(unflattening,[status(thm)],[c_561]) ).
tcf(c_564,plain,
! [X0: $i] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,apply(sK14,X0))),sK14)
| ~ in(X0,relation_dom(sK14)) ),
inference(global_subsumption_just,[status(thm)],[c_562,c_99,c_562]) ).
tcf(c_612,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply(X0,X1) = X2 )
| ~ relation(X0)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X0)
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_430,c_100]) ).
tcf(c_613,plain,
! [X0: $i,X1: $i] :
( ( apply(sK14,X0) = X1 )
| ~ relation(sK14)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK14) ),
inference(unflattening,[status(thm)],[c_612]) ).
tcf(c_615,plain,
! [X0: $i,X1: $i] :
( ( apply(sK14,X0) = X1 )
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK14) ),
inference(global_subsumption_just,[status(thm)],[c_613,c_99,c_613]) ).
tcf(c_639,plain,
apply(sK14,sK12) = sK13,
inference(backward_subsumption_resolution,[status(thm)],[c_395,c_615]) ).
tcf(c_641,plain,
( ~ in(sK12,relation_dom(sK14))
| ~ in(unordered_pair(singleton(sK12),unordered_pair(sK12,sK13)),sK14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_443,c_615]) ).
tcf(c_983,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X1,relation_dom(X0))
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X0)
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_402,c_99]) ).
tcf(c_984,plain,
! [X0: $i,X1: $i] :
( in(X0,relation_dom(sK14))
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK14) ),
inference(unflattening,[status(thm)],[c_983]) ).
tcf(c_1066,plain,
in(sK12,relation_dom(sK14)),
inference(backward_subsumption_resolution,[status(thm)],[c_376,c_984]) ).
tcf(c_1068,plain,
~ in(unordered_pair(singleton(sK12),unordered_pair(sK12,sK13)),sK14),
inference(backward_subsumption_resolution,[status(thm)],[c_641,c_984]) ).
tcf(c_1768,definition,
iPr_def_10 = singleton(sK12),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1769,definition,
iPr_def_11 = unordered_pair(sK12,sK13),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1770,definition,
iPr_def_12 = unordered_pair(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1771,definition,
iPr_def_13 = relation_dom(sK14),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1772,definition,
iPr_def_14 = apply(sK14,sK12),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1773,plain,
~ in(iPr_def_12,sK14),
inference(demodulation,[status(thm)],[c_1068,c_1769,c_1768,c_1770]) ).
tcf(c_1774,plain,
in(sK12,iPr_def_13),
inference(demodulation,[status(thm)],[c_1066,c_1771]) ).
tcf(c_1775,plain,
iPr_def_14 = sK13,
inference(demodulation,[status(thm)],[c_639,c_1772]) ).
tcf(c_1778,plain,
! [X0: $i] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,apply(sK14,X0))),sK14)
| ~ in(X0,iPr_def_13) ),
inference(demodulation,[status(thm)],[c_564]) ).
tcf(c_2283,plain,
( in(unordered_pair(iPr_def_10,unordered_pair(sK12,apply(sK14,sK12))),sK14)
| ~ in(sK12,iPr_def_13) ),
inference(superposition,[status(thm)],[c_1768,c_1778]) ).
tcf(c_2284,plain,
( in(unordered_pair(iPr_def_10,unordered_pair(sK12,iPr_def_14)),sK14)
| ~ in(sK12,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_2283,c_1772]) ).
tcf(c_2285,plain,
in(unordered_pair(iPr_def_10,unordered_pair(sK12,iPr_def_14)),sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_2284,c_1774]) ).
tcf(c_2290,plain,
in(unordered_pair(iPr_def_10,unordered_pair(iPr_def_14,sK12)),sK14),
inference(demodulation,[status(thm)],[c_2285,c_52]) ).
tcf(c_2296,plain,
unordered_pair(sK12,iPr_def_14) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1769,c_1775]) ).
tcf(c_2297,plain,
unordered_pair(iPr_def_14,sK12) = iPr_def_11,
inference(demodulation,[status(thm)],[c_2296,c_52]) ).
tcf(c_2298,plain,
in(unordered_pair(iPr_def_10,iPr_def_11),sK14),
inference(demodulation,[status(thm)],[c_2290,c_2297]) ).
tcf(c_2299,plain,
in(iPr_def_12,sK14),
inference(light_normalisation,[status(thm)],[c_2298,c_1770]) ).
tcf(c_2300,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2299,c_1773]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU212+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n005.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Thu Sep 24 13:12:08 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 2.59/6.29 % SZS status Started for theBenchmark.p
% 2.59/6.29 % SZS status Theorem for theBenchmark.p
% 2.59/6.29
% 2.59/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.59/6.29
% 2.59/6.29 % ------ iProver source info
% 2.59/6.29
% 2.59/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.59/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.59/6.29 % git: non_committed_changes: false
% 2.59/6.29
% 2.59/6.29 % ------ Parsing...
% 2.59/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.59/6.29
% 2.59/6.29 % ------ Preprocessing... sup_sim: 9 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.59/6.29
% 2.59/6.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.59/6.29
% 2.59/6.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.59/6.29 % ------ Proving...
% 2.59/6.29 % ------ Problem Properties
% 2.59/6.29
% 2.59/6.29 %
% 2.59/6.29 % clauses 53
% 2.59/6.29 % conjectures 1
% 2.59/6.29 % EPR 21
% 2.59/6.29 % Horn 48
% 2.59/6.29 % unary 27
% 2.59/6.29 % binary 17
% 2.59/6.29 % lits 90
% 2.59/6.29 % lits eq 16
% 2.59/6.29 % fd_pure 0
% 2.59/6.29 % fd_pseudo 0
% 2.59/6.29 % fd_cond 1
% 2.59/6.29 % fd_pseudo_cond 5
% 2.59/6.29 % AC symbols 0
% 2.59/6.29
% 2.59/6.29 % ------ Schedule dynamic 5 is on
% 2.59/6.29
% 2.59/6.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.59/6.29
% 2.59/6.29
% 2.59/6.29 % ------
% 2.59/6.29 % Current options:
% 2.59/6.29 % ------
% 2.59/6.29
% 2.59/6.29
% 2.59/6.29 %
% 2.59/6.29
% 2.59/6.29 % ------ Proving...
% 2.59/6.29 %
% 2.59/6.29
% 2.59/6.29 % SZS status Theorem for theBenchmark.p
% 2.59/6.29
% 2.59/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.59/6.30
% 2.59/6.30
%------------------------------------------------------------------------------