%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET655+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 02:47:42 PM UTC 2026
% Result : Theorem 4.97s 2.38s
% Output : CNFRefutation 4.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 143 ( 15 unt; 0 def)
% Number of atoms : 559 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 723 ( 307 ~; 312 |; 55 &)
% ( 13 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 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 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 313 ( 0 sgn 297 !; 16 ?; 172 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14) ).
fof(f19,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
fof(f20,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X2))
=> ( ( subset(X2,X3)
& subset(X0,X1) )
=> ilf_type(X4,relation_type(X1,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_17) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X2))
=> ( ( subset(X2,X3)
& subset(X0,X1) )
=> ilf_type(X4,relation_type(X1,X3)) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f24,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,set_type)
& ? [X4] :
( ilf_type(X4,relation_type(X0,X2))
& subset(X2,X3)
& subset(X0,X1)
& ~ ilf_type(X4,relation_type(X1,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f25,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,set_type)
& ? [X4] :
( ilf_type(X4,relation_type(X0,X2))
& subset(X2,X3)
& subset(X0,X1)
& ~ ilf_type(X4,relation_type(X1,X3)) ) ) ) ) ),
inference(flattening,[],[f24]) ).
fof(f27,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f28,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f30,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ),
inference(flattening,[],[f29]) ).
fof(f34,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X3] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f35,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( empty(X0)
<=> ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f38,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f39,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f40,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X0,power_set(X1))
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f41,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X0,power_set(X1))
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(flattening,[],[f40]) ).
fof(f44,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f45,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
( ilf_type(sK0,set_type)
& ilf_type(sK1,set_type)
& ilf_type(sK2,set_type)
& ilf_type(sK3,set_type)
& ilf_type(sK4,relation_type(sK0,sK2))
& subset(sK2,sK3)
& subset(sK0,sK1)
& ~ ilf_type(sK4,relation_type(sK1,sK3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f25]) ).
fof(f47,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f48,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ) ) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ( ilf_type(sK5(X0,X1),set_type)
& member(sK5(X0,X1),X0)
& ~ member(sK5(X0,X1),X1) )
| subset(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f48]) ).
fof(f51,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ empty(X0)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) ) )
& ( ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0) )
| empty(X0) ) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f52,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ empty(X0)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0) ) )
& ( ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0) )
| empty(X0) ) ) ),
inference(rectify,[],[f51]) ).
fof(f53,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ empty(X0)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0) ) )
& ( ( ilf_type(sK7(X0),set_type)
& member(sK7(X0),X0) )
| empty(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f52]) ).
fof(f55,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0))) )
& ( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ) ) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f56,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ member(X0,power_set(X1))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| member(X0,power_set(X1)) ) ) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f57,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ member(X0,power_set(X1))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| member(X0,power_set(X1)) ) ) ) ),
inference(rectify,[],[f56]) ).
fof(f58,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ member(X0,power_set(X1))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ( ilf_type(sK9(X0,X1),set_type)
& member(sK9(X0,X1),X0)
& ~ member(sK9(X0,X1),X1) )
| member(X0,power_set(X1)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f57]) ).
fof(f60,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ( ( ~ ilf_type(X0,member_type(X1))
| member(X0,X1) )
& ( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f65,plain,
ilf_type(sK4,relation_type(sK0,sK2)),
inference(cnf_transformation,[],[f46]) ).
fof(f66,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f46]) ).
fof(f67,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f46]) ).
fof(f68,plain,
~ ilf_type(sK4,relation_type(sK1,sK3)),
inference(cnf_transformation,[],[f46]) ).
fof(f69,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f19]) ).
fof(f71,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f78,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f34]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f80,plain,
! [X2,X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(X0)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f85,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0))) ),
inference(cnf_transformation,[],[f55]) ).
fof(f86,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f88,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f89,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f91,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK9(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f92,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK9(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f94,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,member_type(X1))
| member(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f95,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_49,negated_conjecture,
~ ilf_type(sK4,relation_type(sK1,sK3)),
inference(cnf_transformation,[],[f68]) ).
tcf(c_50,negated_conjecture,
subset(sK0,sK1),
inference(cnf_transformation,[],[f67]) ).
tcf(c_51,negated_conjecture,
subset(sK2,sK3),
inference(cnf_transformation,[],[f66]) ).
tcf(c_52,negated_conjecture,
ilf_type(sK4,relation_type(sK0,sK2)),
inference(cnf_transformation,[],[f65]) ).
tcf(c_57,plain,
! [X0: $i] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f69]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ~ empty(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,subset_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,member_type(power_set(X1))) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(power_set(X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,subset_type(X1)) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_75,plain,
! [X0: $i] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| member(sK9(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X2,X0)
| ~ member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| member(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_111,plain,
! [X0: $i] : ~ empty(power_set(X0)),
inference(global_subsumption_just,[status(thm)],[c_75,c_57,c_75]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| member(sK9(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption_just,[status(thm)],[c_78,c_57,c_78]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( member(X1,power_set(X0))
| member(sK9(X1,X0),X1)
| ~ ilf_type(X0,set_type) ),
inference(renaming,[status(thm)],[c_151]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( member(X1,power_set(X0))
| member(sK9(X1,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_152,c_57,c_152]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| member(sK9(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_153]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| member(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,member_type(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_83,c_57,c_83]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_82,c_57,c_70,c_82]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1) ),
inference(renaming,[status(thm)],[c_160]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ member(sK9(X0,X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_77,c_57,c_77]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(power_set(X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,subset_type(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_74,c_57,c_74]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,subset_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,member_type(power_set(X1))) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_57,c_73]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| ~ member(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_57,c_62]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(renaming,[status(thm)],[c_171]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X0,power_set(X1))
| ~ member(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_80,c_57,c_80]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X2,X0)
| ~ member(X0,power_set(X1)) ),
inference(renaming,[status(thm)],[c_173]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| ~ subset(X2,X3) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_57,c_63]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(renaming,[status(thm)],[c_175]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_66,c_57]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_67,c_57]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ member(sK9(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_163,c_57]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(power_set(X1)))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_165,c_57]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,subset_type(X1))
| ~ ilf_type(X0,member_type(power_set(X1))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_167,c_57]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| ~ member(X0,power_set(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_174,c_57]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_176,c_57]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_158,c_57]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_172,c_57]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_161,c_57]) ).
tcf(c_263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183,c_57]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184,c_57]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193,c_57]) ).
tcf(c_314,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189,c_57]) ).
tcf(c_329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190,c_57,c_57]) ).
tcf(c_395,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_263]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(renaming,[status(thm)],[c_395]) ).
tcf(c_397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_274]) ).
tcf(c_399,plain,
! [X0: $i,X1: $i] :
( ~ ilf_type(X0,member_type(power_set(X1)))
| ilf_type(X0,subset_type(X1)) ),
inference(prop_impl_just,[status(thm)],[c_188]) ).
tcf(c_400,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,subset_type(X1))
| ~ ilf_type(X0,member_type(power_set(X1))) ),
inference(renaming,[status(thm)],[c_399]) ).
tcf(c_401,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(power_set(X1)))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(prop_impl_just,[status(thm)],[c_187]) ).
tcf(c_415,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_195]) ).
tcf(c_419,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ member(sK9(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_185]) ).
tcf(c_423,plain,
! [X0: $i,X1: $i] :
( member(sK9(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(prop_impl_just,[status(thm)],[c_154]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| member(sK9(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_423]) ).
tcf(c_628,plain,
( ilf_type(sK4,subset_type(cross_product(sK0,sK2)))
| ~ ilf_type(sK4,relation_type(sK0,sK2)) ),
inference(instantiation,[status(thm)],[c_397]) ).
tcf(c_632,plain,
! [X0: $i,X1: $i] :
( empty(power_set(X1))
| member(X0,power_set(X1))
| ~ ilf_type(X0,member_type(power_set(X1))) ),
inference(instantiation,[status(thm)],[c_192]) ).
tcf(c_637,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(power_set(X1)))
| ~ member(X0,power_set(X1)) ),
inference(instantiation,[status(thm)],[c_415]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X0,member_type(power_set(cross_product(X1,X2)))) ),
inference(instantiation,[status(thm)],[c_400]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,member_type(power_set(cross_product(X1,X2))))
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(instantiation,[status(thm)],[c_401]) ).
tcf(c_678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,member_type(power_set(cross_product(X1,X2))))
| ~ member(X0,power_set(cross_product(X1,X2))) ),
inference(instantiation,[status(thm)],[c_637]) ).
tcf(c_693,plain,
( ilf_type(sK4,member_type(power_set(cross_product(sK0,sK2))))
| ~ ilf_type(sK4,subset_type(cross_product(sK0,sK2))) ),
inference(instantiation,[status(thm)],[c_677]) ).
tcf(c_707,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty(power_set(cross_product(X1,X2)))
| member(X0,power_set(cross_product(X1,X2)))
| ~ ilf_type(X0,member_type(power_set(cross_product(X1,X2)))) ),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_708,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,power_set(cross_product(X1,X2)))
| member(sK9(X0,cross_product(X1,X2)),X0) ),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_709,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,power_set(cross_product(X1,X2)))
| ~ member(sK9(X0,cross_product(X1,X2)),cross_product(X1,X2)) ),
inference(instantiation,[status(thm)],[c_419]) ).
tcf(c_726,plain,
! [X0: $i,X1: $i] : ~ empty(power_set(cross_product(X0,X1))),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_729,plain,
( ilf_type(sK4,relation_type(sK1,sK3))
| ~ ilf_type(sK4,subset_type(cross_product(sK1,sK3))) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_730,plain,
( ilf_type(sK4,subset_type(cross_product(sK1,sK3)))
| ~ ilf_type(sK4,member_type(power_set(cross_product(sK1,sK3)))) ),
inference(instantiation,[status(thm)],[c_648]) ).
tcf(c_736,plain,
( ilf_type(sK4,member_type(power_set(cross_product(sK1,sK3))))
| ~ member(sK4,power_set(cross_product(sK1,sK3))) ),
inference(instantiation,[status(thm)],[c_678]) ).
tcf(c_746,plain,
( member(sK4,power_set(cross_product(sK1,sK3)))
| ~ member(sK9(sK4,cross_product(sK1,sK3)),cross_product(sK1,sK3)) ),
inference(instantiation,[status(thm)],[c_709]) ).
tcf(c_747,plain,
( member(sK4,power_set(cross_product(sK1,sK3)))
| member(sK9(sK4,cross_product(sK1,sK3)),sK4) ),
inference(instantiation,[status(thm)],[c_708]) ).
tcf(c_799,plain,
! [X0: $i,X1: $i] :
( empty(power_set(cross_product(X0,X1)))
| member(sK4,power_set(cross_product(X0,X1)))
| ~ ilf_type(sK4,member_type(power_set(cross_product(X0,X1)))) ),
inference(instantiation,[status(thm)],[c_707]) ).
tcf(c_900,plain,
! [X0: $i,X1: $i] :
( subset(cross_product(X0,X1),cross_product(sK1,sK3))
| ~ subset(X1,sK3)
| ~ subset(X0,sK1) ),
inference(instantiation,[status(thm)],[c_329]) ).
tcf(c_1249,plain,
! [X0: $i] :
( member(sK9(sK4,cross_product(sK1,sK3)),X0)
| ~ member(sK4,power_set(X0))
| ~ member(sK9(sK4,cross_product(sK1,sK3)),sK4) ),
inference(instantiation,[status(thm)],[c_314]) ).
tcf(c_1368,plain,
! [X0: $i,X1: $i] :
( member(sK9(sK4,cross_product(sK1,sK3)),cross_product(X0,X1))
| ~ member(sK4,power_set(cross_product(X0,X1)))
| ~ member(sK9(sK4,cross_product(sK1,sK3)),sK4) ),
inference(instantiation,[status(thm)],[c_1249]) ).
tcf(c_1582,plain,
! [X0: $i,X1: $i] :
( member(sK9(sK4,X0),X0)
| ~ subset(X1,X0)
| ~ member(sK9(sK4,X0),X1) ),
inference(instantiation,[status(thm)],[c_286]) ).
tcf(c_1705,plain,
! [X0: $i] :
( subset(cross_product(sK0,X0),cross_product(sK1,sK3))
| ~ subset(sK0,sK1)
| ~ subset(X0,sK3) ),
inference(instantiation,[status(thm)],[c_900]) ).
tcf(c_2240,plain,
( empty(power_set(cross_product(sK0,sK2)))
| member(sK4,power_set(cross_product(sK0,sK2)))
| ~ ilf_type(sK4,member_type(power_set(cross_product(sK0,sK2)))) ),
inference(instantiation,[status(thm)],[c_799]) ).
tcf(c_4781,plain,
( member(sK9(sK4,cross_product(sK1,sK3)),cross_product(sK0,sK2))
| ~ member(sK4,power_set(cross_product(sK0,sK2)))
| ~ member(sK9(sK4,cross_product(sK1,sK3)),sK4) ),
inference(instantiation,[status(thm)],[c_1368]) ).
tcf(c_11619,plain,
( member(sK9(sK4,cross_product(sK1,sK3)),cross_product(sK1,sK3))
| ~ subset(cross_product(sK0,sK2),cross_product(sK1,sK3))
| ~ member(sK9(sK4,cross_product(sK1,sK3)),cross_product(sK0,sK2)) ),
inference(instantiation,[status(thm)],[c_1582]) ).
tcf(c_11635,plain,
~ empty(power_set(cross_product(sK0,sK2))),
inference(instantiation,[status(thm)],[c_726]) ).
tcf(c_28059,plain,
( subset(cross_product(sK0,sK2),cross_product(sK1,sK3))
| ~ subset(sK2,sK3)
| ~ subset(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_1705]) ).
tcf(c_28060,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_28059,c_11635,c_11619,c_4781,c_2240,c_746,c_747,c_736,c_730,c_729,c_693,c_628,c_49,c_52,c_50,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET655+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 11:37:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.46
% 0.14/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.46
% 0.14/0.46 % Detected problem language: tptp
% 0.14/0.48 % Proving...
% 4.97/2.38 % SZS status Started for theBenchmark.p
% 4.97/2.38 % SZS status Theorem for theBenchmark.p
% 4.97/2.38
% 4.97/2.38 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.97/2.38
% 4.97/2.38 % ------ iProver source info
% 4.97/2.38
% 4.97/2.38 % git: date: 2026-07-19 20:42:38 +0200
% 4.97/2.38 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.97/2.38 % git: non_committed_changes: false
% 4.97/2.38
% 4.97/2.38 % ------ Parsing...
% 4.97/2.38 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.97/2.38
% 4.97/2.38 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.97/2.38
% 4.97/2.38 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.97/2.38 % ------ Proving...
% 4.97/2.38 % ------ Problem Properties
% 4.97/2.38
% 4.97/2.38 %
% 4.97/2.38 % clauses 25
% 4.97/2.38 % conjectures 4
% 4.97/2.38 % EPR 6
% 4.97/2.38 % Horn 20
% 4.97/2.38 % unary 8
% 4.97/2.38 % binary 12
% 4.97/2.38 % lits 47
% 4.97/2.38 % lits eq 0
% 4.97/2.38 % fd_pure 0
% 4.97/2.38 % fd_pseudo 0
% 4.97/2.38 % fd_cond 0
% 4.97/2.38 % fd_pseudo_cond 0
% 4.97/2.38 % AC symbols 0
% 4.97/2.38
% 4.97/2.38 % ------ Schedule dynamic 5 is on
% 4.97/2.38
% 4.97/2.38 % ------ no equalities: superposition off
% 4.97/2.38
% 4.97/2.38 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.97/2.38
% 4.97/2.38
% 4.97/2.38 % ------
% 4.97/2.38 % Current options:
% 4.97/2.38 % ------
% 4.97/2.38
% 4.97/2.38
% 4.97/2.38 %
% 4.97/2.38
% 4.97/2.38 % ------ Proving...
% 4.97/2.38 %
% 4.97/2.38
% 4.97/2.38 % SZS status Theorem for theBenchmark.p
% 4.97/2.38
% 4.97/2.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.97/2.39
% 4.97/2.39
%------------------------------------------------------------------------------