%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU131+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 02:55:31 PM UTC 2026
% Result : Theorem 4.16s 6.65s
% Output : CNFRefutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 98 ( 19 unt; 1 def)
% Number of atoms : 318 ( 66 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 312 ( 130 ~; 138 |; 32 &)
% ( 7 <=>; 3 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 158 ( 0 sgn 147 !; 11 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f3,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( ~ in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f6,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f7,conjecture,
! [X0,X1] :
( set_difference(X0,X1) = empty_set
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_xboole_1) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( set_difference(X0,X1) = empty_set
<=> subset(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f12,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(f13,axiom,
! [X0] : set_difference(X0,empty_set) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
fof(f14,axiom,
! [X0] : set_difference(empty_set,X0) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).
fof(f15,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f16,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f20,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f21,plain,
? [X0,X1] :
( set_difference(X0,X1) = empty_set
<~> subset(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f22,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
<~> in(X2,X1) )
| X0 = X1 ),
inference(ennf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0] :
( ~ empty(X0)
| X0 = empty_set ),
inference(ennf_transformation,[],[f15]) ).
fof(f24,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f26,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,[],[f20]) ).
fof(f27,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,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ( in(sK0(X0,X1),X0)
& ~ in(sK0(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) != X2
| ! [X3] :
( ( ~ in(X3,X2)
| ( ~ in(X3,X1)
& in(X3,X0) ) )
& ( in(X3,X1)
| ~ in(X3,X0)
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& in(X3,X0) ) )
& ( ~ in(X3,X2)
| in(X3,X1)
| ~ in(X3,X0) ) )
| X2 = set_difference(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) != X2
| ! [X3] :
( ( ~ in(X3,X2)
| ( ~ in(X3,X1)
& in(X3,X0) ) )
& ( in(X3,X1)
| ~ in(X3,X0)
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& in(X3,X0) ) )
& ( ~ in(X3,X2)
| in(X3,X1)
| ~ in(X3,X0) ) )
| X2 = set_difference(X0,X1) ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) != X2
| ! [X4] :
( ( ~ in(X4,X2)
| ( ~ in(X4,X1)
& in(X4,X0) ) )
& ( in(X4,X1)
| ~ in(X4,X0)
| in(X4,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& in(X3,X0) ) )
& ( ~ in(X3,X2)
| in(X3,X1)
| ~ in(X3,X0) ) )
| X2 = set_difference(X0,X1) ) ),
inference(rectify,[],[f30]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) != X2
| ! [X4] :
( ( ~ in(X4,X2)
| ( ~ in(X4,X1)
& in(X4,X0) ) )
& ( in(X4,X1)
| ~ in(X4,X0)
| in(X4,X2) ) ) )
& ( ( ( in(sK1(X0,X1,X2),X2)
| ( ~ in(sK1(X0,X1,X2),X1)
& in(sK1(X0,X1,X2),X0) ) )
& ( ~ in(sK1(X0,X1,X2),X2)
| in(sK1(X0,X1,X2),X1)
| ~ in(sK1(X0,X1,X2),X0) ) )
| X2 = set_difference(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f31]) ).
fof(f33,plain,
? [X0,X1] :
( ( set_difference(X0,X1) = empty_set
| subset(X0,X1) )
& ( set_difference(X0,X1) != empty_set
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f34,plain,
( ( empty_set = set_difference(sK2,sK3)
| subset(sK2,sK3) )
& ( empty_set != set_difference(sK2,sK3)
| ~ subset(sK2,sK3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f33]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2] :
( ( in(X2,X0)
| in(X2,X1) )
& ( ~ in(X2,X0)
| ~ in(X2,X1) ) )
| X0 = X1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f38,plain,
! [X0,X1] :
( ( ( in(sK6(X0,X1),X0)
| in(sK6(X0,X1),X1) )
& ( ~ in(sK6(X0,X1),X0)
| ~ in(sK6(X0,X1),X1) ) )
| X0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f37]) ).
fof(f40,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f41,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f42,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f43,plain,
! [X2,X0,X1,X4] :
( set_difference(X0,X1) != X2
| ~ in(X4,X2)
| ~ in(X4,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f44,plain,
! [X2,X0,X1,X4] :
( set_difference(X0,X1) != X2
| ~ in(X4,X2)
| in(X4,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f45,plain,
! [X2,X0,X1,X4] :
( set_difference(X0,X1) != X2
| in(X4,X1)
| ~ in(X4,X0)
| in(X4,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f49,plain,
empty(empty_set),
inference(cnf_transformation,[],[f6]) ).
fof(f50,plain,
( empty_set = set_difference(sK2,sK3)
| subset(sK2,sK3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
( empty_set != set_difference(sK2,sK3)
| ~ subset(sK2,sK3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f55,plain,
! [X0,X1] :
( in(sK6(X0,X1),X0)
| in(sK6(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f57,plain,
! [X0] : set_difference(X0,empty_set) = X0,
inference(cnf_transformation,[],[f13]) ).
fof(f58,plain,
! [X0] : empty_set = set_difference(empty_set,X0),
inference(cnf_transformation,[],[f14]) ).
fof(f59,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f23]) ).
fof(f60,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f62,plain,
! [X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X0)
| in(X4,set_difference(X0,X1)) ),
inference(equality_resolution,[],[f45]) ).
fof(f63,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f44]) ).
fof(f64,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f43]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,X2)
| ~ subset(X1,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,X2)
| in(X0,set_difference(X1,X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,X1)
| ~ in(X0,set_difference(X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ in(X0,X2)
| ~ in(X0,set_difference(X1,X2)) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_59,plain,
empty(empty_set),
inference(cnf_transformation,[],[f49]) ).
tcf(c_60,negated_conjecture,
( ~ subset(sK2,sK3)
| ( set_difference(sK2,sK3) != empty_set ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_61,negated_conjecture,
( subset(sK2,sK3)
| ( set_difference(sK2,sK3) = empty_set ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( in(sK6(X0,X1),X1)
| in(sK6(X0,X1),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_67,plain,
! [X0: $i] : set_difference(X0,empty_set) = X0,
inference(cnf_transformation,[],[f57]) ).
tcf(c_68,plain,
! [X0: $i] : set_difference(empty_set,X0) = empty_set,
inference(cnf_transformation,[],[f58]) ).
tcf(c_69,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ empty(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_75,plain,
( ( empty_set = empty_set )
| ~ empty(empty_set) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_82,plain,
( ( set_difference(sK2,sK3) = empty_set )
| subset(sK2,sK3) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
tcf(c_83,plain,
( subset(sK2,sK3)
| ( set_difference(sK2,sK3) = empty_set ) ),
inference(renaming,[status(thm)],[c_82]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X2,X1)
| ( set_difference(sK2,sK3) = empty_set )
| ~ in(X2,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_83]) ).
tcf(c_379,plain,
! [X0: $i] :
( in(X0,sK3)
| ( set_difference(sK2,sK3) = empty_set )
| ~ in(X0,sK2) ),
inference(unflattening,[status(thm)],[c_378]) ).
tcf(c_415,definition,
iPr_def_10 = set_difference(sK2,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_416,negated_conjecture,
( subset(sK2,sK3)
| ( iPr_def_10 = empty_set ) ),
inference(demodulation,[status(thm)],[c_61,c_415]) ).
tcf(c_417,negated_conjecture,
( ~ subset(sK2,sK3)
| ( iPr_def_10 != empty_set ) ),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] :
( empty(X0)
| ~ empty(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_910,plain,
! [X0: $i] :
( in(X0,sK2)
| ~ in(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_415,c_57]) ).
tcf(c_957,plain,
! [X0: $i] :
( ~ in(X0,iPr_def_10)
| ~ in(X0,sK3) ),
inference(superposition,[status(thm)],[c_415,c_58]) ).
tcf(c_958,plain,
! [X0: $i,X1: $i] :
( ~ in(X0,empty_set)
| ~ in(X0,X1) ),
inference(superposition,[status(thm)],[c_67,c_58]) ).
tcf(c_1004,plain,
! [X0: $i] :
( in(X0,iPr_def_10)
| in(X0,sK3)
| ~ in(X0,sK2) ),
inference(superposition,[status(thm)],[c_415,c_56]) ).
tcf(c_1009,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X2,X1)
| ~ in(X2,X0)
| ~ empty(set_difference(X0,X1)) ),
inference(superposition,[status(thm)],[c_56,c_70]) ).
tcf(c_1104,plain,
( in(sK6(iPr_def_10,empty_set),iPr_def_10)
| in(sK6(iPr_def_10,empty_set),empty_set)
| ( iPr_def_10 = empty_set ) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_1318,plain,
! [X0: $i] :
( empty(iPr_def_10)
| ~ empty(X0)
| ( iPr_def_10 != X0 ) ),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_1319,plain,
( empty(iPr_def_10)
| ~ empty(empty_set)
| ( iPr_def_10 != empty_set ) ),
inference(instantiation,[status(thm)],[c_1318]) ).
tcf(c_1323,plain,
! [X0: $i] :
( in(sK6(iPr_def_10,empty_set),X0)
| ~ subset(iPr_def_10,X0)
| ~ in(sK6(iPr_def_10,empty_set),iPr_def_10) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_1324,plain,
( in(sK6(iPr_def_10,empty_set),empty_set)
| ~ subset(iPr_def_10,empty_set)
| ~ in(sK6(iPr_def_10,empty_set),iPr_def_10) ),
inference(instantiation,[status(thm)],[c_1323]) ).
tcf(c_1715,plain,
( ~ empty(empty_set)
| ~ in(sK6(iPr_def_10,empty_set),empty_set) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_1782,plain,
! [X0: $i] :
( in(X0,sK3)
| ~ empty(iPr_def_10)
| ~ in(X0,sK2) ),
inference(superposition,[status(thm)],[c_415,c_1009]) ).
tcf(c_1784,plain,
! [X0: $i,X1: $i] :
( in(X0,X1)
| ~ empty(empty_set)
| ~ in(X0,empty_set) ),
inference(superposition,[status(thm)],[c_68,c_1009]) ).
tcf(c_1785,plain,
! [X0: $i,X1: $i] :
( in(X0,X1)
| ~ in(X0,empty_set) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1784,c_59]) ).
tcf(c_1807,plain,
! [X0: $i] :
( ~ in(X0,iPr_def_10)
| ~ in(X0,sK3) ),
inference(superposition,[status(thm)],[c_415,c_58]) ).
tcf(c_1816,plain,
! [X0: $i] : ~ in(X0,empty_set),
inference(global_subsumption_just,[status(thm)],[c_1785,c_958,c_1785]) ).
tcf(c_1821,plain,
! [X0: $i] :
( in(sK6(X0,empty_set),X0)
| ( X0 = empty_set ) ),
inference(superposition,[status(thm)],[c_66,c_1816]) ).
tcf(c_1847,plain,
( in(sK6(iPr_def_10,empty_set),sK2)
| ( empty_set = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_1821,c_910]) ).
tcf(c_1869,plain,
! [X0: $i] :
( ( empty_set = iPr_def_10 )
| ( iPr_def_10 != X0 )
| ( empty_set != X0 ) ),
inference(instantiation,[status(thm)],[c_420]) ).
tcf(c_1870,plain,
( ( empty_set = iPr_def_10 )
| ( iPr_def_10 != empty_set )
| ( empty_set != empty_set ) ),
inference(instantiation,[status(thm)],[c_1869]) ).
tcf(c_1871,plain,
! [X0: $i] : ~ in(X0,iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_1807,c_59,c_60,c_379,c_416,c_910,c_957,c_1319,c_1782]) ).
tcf(c_1874,plain,
! [X0: $i] : subset(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_51,c_1871]) ).
tcf(c_1875,plain,
subset(iPr_def_10,empty_set),
inference(instantiation,[status(thm)],[c_1874]) ).
tcf(c_1965,plain,
empty_set = iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_1847,c_59,c_75,c_1104,c_1324,c_1715,c_1870,c_1875]) ).
tcf(c_1969,plain,
! [X0: $i] : ~ in(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_1816,c_1965]) ).
tcf(c_1978,plain,
( ~ subset(sK2,sK3)
| ( iPr_def_10 != iPr_def_10 ) ),
inference(demodulation,[status(thm)],[c_417,c_1965]) ).
tcf(c_1984,plain,
~ subset(sK2,sK3),
inference(equality_resolution_simp,[status(thm)],[c_1978]) ).
tcf(c_1989,plain,
! [X0: $i] :
( in(X0,sK3)
| ~ in(X0,sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1004,c_1969]) ).
tcf(c_2077,plain,
! [X0: $i] :
( subset(sK2,X0)
| in(sK0(sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_51,c_1989]) ).
tcf(c_2116,plain,
subset(sK2,sK3),
inference(superposition,[status(thm)],[c_2077,c_50]) ).
tcf(c_2117,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2116,c_1984]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU131+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.59 % Computer : n020.cluster.edu
% 0.11/5.59 % Model : x86_64 x86_64
% 0.11/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.59 % Memory : 8046.5625MB
% 0.11/5.59 % OS : Linux 6.8.0-71-generic
% 0.11/5.59 % CPULimit : 300
% 0.11/5.59 % WCLimit : 300
% 0.11/5.59 % DateTime : Thu Sep 24 12:52:56 UTC 2026
% 0.11/5.59 % CPUTime :
% 0.11/5.59 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.65 Running first-order theorem proving
% 0.15/5.65 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
% 0.15/5.66
% 0.15/5.66 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.66
% 0.15/5.67 % Detected problem language: tptp
% 0.15/5.68 % Proving...
% 4.16/6.65 % SZS status Started for theBenchmark.p
% 4.16/6.65 % SZS status Theorem for theBenchmark.p
% 4.16/6.65
% 4.16/6.65 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.16/6.65
% 4.16/6.65 % ------ iProver source info
% 4.16/6.65
% 4.16/6.65 % git: date: 2026-07-19 20:42:38 +0200
% 4.16/6.65 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.16/6.65 % git: non_committed_changes: false
% 4.16/6.65
% 4.16/6.65 % ------ Parsing...
% 4.16/6.65 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.16/6.65
% 4.16/6.65 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.16/6.65
% 4.16/6.65 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.16/6.65
% 4.16/6.65 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.16/6.65 % ------ Proving...
% 4.16/6.65 % ------ Problem Properties
% 4.16/6.65
% 4.16/6.65 %
% 4.16/6.65 % clauses 24
% 4.16/6.65 % conjectures 2
% 4.16/6.65 % EPR 11
% 4.16/6.65 % Horn 17
% 4.16/6.65 % unary 7
% 4.16/6.65 % binary 9
% 4.16/6.65 % lits 50
% 4.16/6.65 % lits eq 12
% 4.16/6.65 % fd_pure 0
% 4.16/6.65 % fd_pseudo 0
% 4.16/6.65 % fd_cond 1
% 4.16/6.65 % fd_pseudo_cond 6
% 4.16/6.65 % AC symbols 0
% 4.16/6.65
% 4.16/6.65 % ------ Schedule dynamic 5 is on
% 4.16/6.65
% 4.16/6.65 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.16/6.65
% 4.16/6.65
% 4.16/6.65 % ------
% 4.16/6.65 % Current options:
% 4.16/6.65 % ------
% 4.16/6.65
% 4.16/6.65
% 4.16/6.65 %
% 4.16/6.65
% 4.16/6.65 % ------ Proving...
% 4.16/6.65 %
% 4.16/6.65
% 4.16/6.65 % SZS status Theorem for theBenchmark.p
% 4.16/6.65
% 4.16/6.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.16/6.65
% 4.16/6.65
%------------------------------------------------------------------------------