%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS172+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 01:54:20 PM UTC 2026
% Result : Theorem 1.78s 6.31s
% Output : CNFRefutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 87 ( 5 unt; 0 def)
% Number of atoms : 279 ( 24 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 334 ( 142 ~; 158 |; 19 &)
% ( 9 <=>; 4 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 113 ( 0 sgn 105 !; 8 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f11,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f12,axiom,
! [X0] :
( cd(X0)
<=> rq(X0,iv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f13,axiom,
! [X0] :
( cd(X0)
<=> rp(X0,iv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( rp(X0,X2)
& rp(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f15,axiom,
! [X0,X1] :
( rp(X0,X1)
=> cd(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f16,axiom,
! [X0,X1,X2] :
( ( rq(X0,X2)
& rq(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f17,axiom,
! [X0,X1] :
( rq(X0,X1)
=> cd(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f19,conjecture,
( ! [X0,X1] :
( rq(X0,X1)
<=> rp(X0,X1) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f20,negated_conjecture,
~ ( ! [X0,X1] :
( rq(X0,X1)
<=> rp(X0,X1) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
~ ( ! [X2,X3] :
( rq(X2,X3)
<=> rp(X2,X3) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f20]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ rp(X0,X2)
| ~ rp(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f14]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ rp(X0,X2)
| ~ rp(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| cd(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ rq(X0,X2)
| ~ rq(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f16]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ rq(X0,X2)
| ~ rq(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| cd(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f46,plain,
( ? [X2,X3] :
( rq(X2,X3)
<~> rp(X2,X3) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f47,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f48,plain,
! [X0] :
( ( ~ cd(X0)
| rq(X0,iv) )
& ( ~ rq(X0,iv)
| cd(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f49,plain,
! [X0] :
( ( ~ cd(X0)
| rp(X0,iv) )
& ( ~ rp(X0,iv)
| cd(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f50,plain,
( ? [X2,X3] :
( ( rq(X2,X3)
| rp(X2,X3) )
& ( ~ rq(X2,X3)
| ~ rp(X2,X3) ) )
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f51,plain,
( ( ( rq(sK2,sK3)
| rp(sK2,sK3) )
& ( ~ rq(sK2,sK3)
| ~ rp(sK2,sK3) ) )
| ( ( xsd_string(sK1)
| ~ xsd_integer(sK1) )
& ( ~ xsd_string(sK1)
| xsd_integer(sK1) ) )
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f50]) ).
fof(f61,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f10]) ).
fof(f62,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f10]) ).
fof(f63,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f64,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f65,plain,
! [X0] :
( ~ cd(X0)
| rq(X0,iv) ),
inference(cnf_transformation,[],[f48]) ).
fof(f67,plain,
! [X0] :
( ~ cd(X0)
| rp(X0,iv) ),
inference(cnf_transformation,[],[f49]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ rp(X0,X2)
| ~ rp(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f41]) ).
fof(f70,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| cd(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ rq(X0,X2)
| ~ rq(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f72,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| cd(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f74,plain,
( rq(sK2,sK3)
| rp(sK2,sK3)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f75,plain,
( ~ rq(sK2,sK3)
| ~ rp(sK2,sK3)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f76,plain,
( rq(sK2,sK3)
| rp(sK2,sK3)
| ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f77,plain,
( ~ rq(sK2,sK3)
| ~ rp(sK2,sK3)
| ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f62]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f61]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_54,plain,
! [X0: $i] :
( rq(X0,iv)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_56,plain,
! [X0: $i] :
( rp(X0,iv)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rp(X0,X2)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( cd(X0)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rq(X0,X2)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( cd(X0)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_62,negated_conjecture,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0)
| ~ rp(sK2,sK3)
| ~ rq(sK2,sK3) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_63,negated_conjecture,
( xsd_integer(sK1)
| cowlNothing(sK0)
| rp(sK2,sK3)
| rq(sK2,sK3)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_64,negated_conjecture,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ rp(sK2,sK3)
| ~ rq(sK2,sK3) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_65,negated_conjecture,
( xsd_string(sK1)
| cowlNothing(sK0)
| rp(sK2,sK3)
| rq(sK2,sK3)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_120,plain,
( xsd_integer(sK1)
| rp(sK2,sK3)
| rq(sK2,sK3)
| ~ xsd_string(sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63,c_50,c_49]) ).
tcf(c_125,plain,
( xsd_integer(sK1)
| rp(sK2,sK3)
| rq(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120,c_51]) ).
tcf(c_135,plain,
( xsd_string(sK1)
| rp(sK2,sK3)
| rq(sK2,sK3)
| ~ xsd_integer(sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65,c_50,c_49]) ).
tcf(c_140,plain,
( xsd_string(sK1)
| rp(sK2,sK3)
| rq(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135,c_51]) ).
tcf(c_150,plain,
( xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ rp(sK2,sK3)
| ~ rq(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62,c_50,c_49]) ).
tcf(c_155,plain,
( xsd_integer(sK1)
| ~ rp(sK2,sK3)
| ~ rq(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150,c_51]) ).
tcf(c_165,plain,
( xsd_string(sK1)
| ~ xsd_integer(sK1)
| ~ rp(sK2,sK3)
| ~ rq(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64,c_50,c_49]) ).
tcf(c_170,plain,
( xsd_string(sK1)
| ~ rp(sK2,sK3)
| ~ rq(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_165,c_51]) ).
tcf(c_189,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ rp(sK2,sK3)
| ~ rq(sK2,sK3)
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_170]) ).
tcf(c_190,plain,
( ~ xsd_integer(sK1)
| ~ rp(sK2,sK3)
| ~ rq(sK2,sK3) ),
inference(unflattening,[status(thm)],[c_189]) ).
tcf(c_191,plain,
( ~ rq(sK2,sK3)
| ~ rp(sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_190,c_155,c_190]) ).
tcf(c_192,plain,
( ~ rp(sK2,sK3)
| ~ rq(sK2,sK3) ),
inference(renaming,[status(thm)],[c_191]) ).
tcf(c_199,plain,
! [X0: $i] :
( rp(sK2,sK3)
| rq(sK2,sK3)
| ~ xsd_integer(X0)
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_140]) ).
tcf(c_200,plain,
( rp(sK2,sK3)
| rq(sK2,sK3)
| ~ xsd_integer(sK1) ),
inference(unflattening,[status(thm)],[c_199]) ).
tcf(c_201,plain,
( rp(sK2,sK3)
| rq(sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_200,c_125,c_200]) ).
tcf(c_338,plain,
! [X0_iProver_rq_1: iProver_rq_1,X0_iProver_rq_2: iProver_rq_2] :
( cd(X0_iProver_rq_1)
| ~ rq(X0_iProver_rq_1,X0_iProver_rq_2) ),
inference(subtyping,[status(esa)],[c_60]) ).
tcf(c_339,plain,
! [X0_iProver_rq_1: iProver_rq_1,X0_iProver_rq_2: iProver_rq_2,X1_iProver_rq_2: iProver_rq_2] :
( ( X0_iProver_rq_2 = X1_iProver_rq_2 )
| ~ rq(X0_iProver_rq_1,X1_iProver_rq_2)
| ~ rq(X0_iProver_rq_1,X0_iProver_rq_2) ),
inference(subtyping,[status(esa)],[c_59]) ).
tcf(c_340,plain,
! [X0_iProver_rq_1: iProver_rq_1,X0_iProver_rq_2: iProver_rq_2] :
( cd(X0_iProver_rq_1)
| ~ rp(X0_iProver_rq_1,X0_iProver_rq_2) ),
inference(subtyping,[status(esa)],[c_58]) ).
tcf(c_341,plain,
! [X0_iProver_rq_1: iProver_rq_1,X0_iProver_rq_2: iProver_rq_2,X1_iProver_rq_2: iProver_rq_2] :
( ( X0_iProver_rq_2 = X1_iProver_rq_2 )
| ~ rp(X0_iProver_rq_1,X1_iProver_rq_2)
| ~ rp(X0_iProver_rq_1,X0_iProver_rq_2) ),
inference(subtyping,[status(esa)],[c_57]) ).
tcf(c_342,plain,
! [X0_iProver_rq_1: iProver_rq_1] :
( rp(X0_iProver_rq_1,iv)
| ~ cd(X0_iProver_rq_1) ),
inference(subtyping,[status(esa)],[c_56]) ).
tcf(c_343,plain,
! [X0_iProver_rq_1: iProver_rq_1] :
( rq(X0_iProver_rq_1,iv)
| ~ cd(X0_iProver_rq_1) ),
inference(subtyping,[status(esa)],[c_54]) ).
tcf(c_349,plain,
! [X0_iProver_rq_1: iProver_rq_1,X0_iProver_rq_2: iProver_rq_2,X1_iProver_rq_2: iProver_rq_2] :
( rq(X0_iProver_rq_1,X0_iProver_rq_2)
| ~ rq(X0_iProver_rq_1,X1_iProver_rq_2)
| ( X0_iProver_rq_2 != X1_iProver_rq_2 ) ),
theory(equality) ).
tcf(c_350,plain,
! [X0_iProver_rq_1: iProver_rq_1,X0_iProver_rq_2: iProver_rq_2,X1_iProver_rq_2: iProver_rq_2] :
( rp(X0_iProver_rq_1,X0_iProver_rq_2)
| ~ rp(X0_iProver_rq_1,X1_iProver_rq_2)
| ( X0_iProver_rq_2 != X1_iProver_rq_2 ) ),
theory(equality) ).
tcf(c_353,plain,
( cd(sK2)
| ~ rq(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_338]) ).
tcf(c_354,plain,
( cd(sK2)
| ~ rp(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_340]) ).
tcf(c_355,plain,
( rp(sK2,iv)
| ~ cd(sK2) ),
inference(instantiation,[status(thm)],[c_342]) ).
tcf(c_356,plain,
( rq(sK2,iv)
| ~ cd(sK2) ),
inference(instantiation,[status(thm)],[c_343]) ).
tcf(c_357,plain,
! [X0_iProver_rq_1: iProver_rq_1,X0_iProver_rq_2: iProver_rq_2] :
( rq(X0_iProver_rq_1,X0_iProver_rq_2)
| ~ rq(X0_iProver_rq_1,iv)
| ( X0_iProver_rq_2 != iv ) ),
inference(instantiation,[status(thm)],[c_349]) ).
tcf(c_358,plain,
( rq(sK2,sK3)
| ~ rq(sK2,iv)
| ( sK3 != iv ) ),
inference(instantiation,[status(thm)],[c_357]) ).
tcf(c_359,plain,
! [X0_iProver_rq_1: iProver_rq_1,X0_iProver_rq_2: iProver_rq_2] :
( ( X0_iProver_rq_2 = iv )
| ~ rp(X0_iProver_rq_1,iv)
| ~ rp(X0_iProver_rq_1,X0_iProver_rq_2) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_360,plain,
! [X0_iProver_rq_1: iProver_rq_1,X0_iProver_rq_2: iProver_rq_2] :
( ( X0_iProver_rq_2 = iv )
| ~ rq(X0_iProver_rq_1,iv)
| ~ rq(X0_iProver_rq_1,X0_iProver_rq_2) ),
inference(instantiation,[status(thm)],[c_339]) ).
tcf(c_361,plain,
( ( sK3 = iv )
| ~ rq(sK2,sK3)
| ~ rq(sK2,iv) ),
inference(instantiation,[status(thm)],[c_360]) ).
tcf(c_362,plain,
( ( sK3 = iv )
| ~ rp(sK2,sK3)
| ~ rp(sK2,iv) ),
inference(instantiation,[status(thm)],[c_359]) ).
tcf(c_366,plain,
! [X0_iProver_rq_1: iProver_rq_1,X0_iProver_rq_2: iProver_rq_2] :
( rp(X0_iProver_rq_1,X0_iProver_rq_2)
| ~ rp(X0_iProver_rq_1,iv)
| ( X0_iProver_rq_2 != iv ) ),
inference(instantiation,[status(thm)],[c_350]) ).
tcf(c_367,plain,
( rp(sK2,sK3)
| ~ rp(sK2,iv)
| ( sK3 != iv ) ),
inference(instantiation,[status(thm)],[c_366]) ).
tcf(c_368,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_367,c_362,c_361,c_358,c_356,c_355,c_354,c_353,c_201,c_200,c_192,c_125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS172+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.39 % Computer : n015.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Wed Sep 23 19:38:16 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/5.43 Running first-order theorem proving
% 0.17/5.43 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
% 0.17/5.44
% 0.17/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.17/5.44
% 0.17/5.45 % Detected problem language: tptp
% 0.17/5.46 % Proving...
% 1.78/6.31 % SZS status Started for theBenchmark.p
% 1.78/6.31 % SZS status Theorem for theBenchmark.p
% 1.78/6.31
% 1.78/6.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.78/6.31
% 1.78/6.31 % ------ iProver source info
% 1.78/6.31
% 1.78/6.31 % git: date: 2026-07-19 20:42:38 +0200
% 1.78/6.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.78/6.31 % git: non_committed_changes: false
% 1.78/6.31
% 1.78/6.31 % ------ Parsing...
% 1.78/6.31 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_eq
% 1.78/6.31 %
% 1.78/6.31
% 1.78/6.31 % ------ Preprocessing... sup_sim: 7 sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 1.78/6.31
% 1.78/6.31 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_eq
% 1.78/6.31 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % ------ preprocesses with Option_epr_non_horn_eq
% 1.78/6.31 %
% 1.78/6.31
% 1.78/6.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.78/6.31 % ------ Proving...
% 1.78/6.31 % ------ Problem Properties
% 1.78/6.31
% 1.78/6.31 %
% 1.78/6.31 % clauses 8
% 1.78/6.31 % conjectures 0
% 1.78/6.31 % EPR 8
% 1.78/6.31 % Horn 7
% 1.78/6.31 % unary 0
% 1.78/6.31 % binary 6
% 1.78/6.31 % lits 18
% 1.78/6.31 % lits eq 2
% 1.78/6.31 % fd_pure 0
% 1.78/6.31 % fd_pseudo 0
% 1.78/6.31 % fd_cond 0
% 1.78/6.31 % fd_pseudo_cond 2
% 1.78/6.31 % AC symbols 0
% 1.78/6.31
% 1.78/6.31 % ------ Schedule EPR non Horn eq is on
% 1.78/6.31
% 1.78/6.31 % ------ no conjectures: strip conj schedule
% 1.78/6.31
% 1.78/6.31 % ------ Option_epr_non_horn_eq stripped conjectures Time Limit: Unbounded
% 1.78/6.31
% 1.78/6.31
% 1.78/6.31 % ------
% 1.78/6.31 % Current options:
% 1.78/6.31 % ------
% 1.78/6.31
% 1.78/6.31
% 1.78/6.31 %
% 1.78/6.31
% 1.78/6.31 % ------ Proving...
% 1.78/6.31 %
% 1.78/6.31
% 1.78/6.31 % SZS status Theorem for theBenchmark.p
% 1.78/6.31
% 1.78/6.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.78/6.32
% 1.78/6.32
%------------------------------------------------------------------------------