%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS178+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 01:54:21 PM UTC 2026
% Result : Theorem 1.06s 6.17s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 11 ~; 8 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 26 !; 3 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',isa) ).
fof(f14,conjecture,
! [X0] : isa(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_reflexive) ).
fof(f15,negated_conjecture,
~ ! [X0] : isa(X0,X0),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f17,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
| isa(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f19,plain,
? [X0] : ~ isa(X0,X0),
inference(ennf_transformation,[],[f15]) ).
fof(f20,plain,
! [X0,X1] :
( ( status(sK0(X0,X1),sK1(X0,X1),X0)
& ~ status(sK0(X0,X1),sK1(X0,X1),X1) )
| isa(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f17]) ).
fof(f29,plain,
~ isa(sK20,sK20),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X0,sK20)],[f19]) ).
fof(f30,plain,
! [X0,X1] :
( status(sK0(X0,X1),sK1(X0,X1),X0)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f31,plain,
! [X0,X1] :
( ~ status(sK0(X0,X1),sK1(X0,X1),X1)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f51,plain,
~ isa(sK20,sK20),
inference(cnf_transformation,[],[f29]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( isa(X0,X1)
| ~ status(sK0(X0,X1),sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( isa(X0,X1)
| status(sK0(X0,X1),sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_70,negated_conjecture,
~ isa(sK20,sK20),
inference(cnf_transformation,[],[f51]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( isa(X0,X1)
| ~ status(sK0(X0,X1),sK1(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_49]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( isa(X0,X1)
| status(sK0(X0,X1),sK1(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_50]) ).
tcf(c_177,plain,
status(sK0(sK20,sK20),sK1(sK20,sK20),sK20),
inference(resolution,[status(thm)],[c_92,c_70]) ).
tcf(c_181,plain,
~ status(sK0(sK20,sK20),sK1(sK20,sK20),sK20),
inference(resolution,[status(thm)],[c_82,c_70]) ).
tcf(c_182,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_181,c_177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS178+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n006.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Wed Sep 23 19:36:17 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 1.06/6.17 % SZS status Started for theBenchmark.p
% 1.06/6.17 % SZS status Theorem for theBenchmark.p
% 1.06/6.17
% 1.06/6.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.06/6.17
% 1.06/6.17 % ------ iProver source info
% 1.06/6.17
% 1.06/6.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.06/6.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.06/6.17 % git: non_committed_changes: false
% 1.06/6.17
% 1.06/6.17 % ------ Parsing...
% 1.06/6.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.06/6.17
% 1.06/6.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s %
% 1.06/6.17
% 1.06/6.17 % SZS status Theorem for theBenchmark.p
% 1.06/6.17
% 1.06/6.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.06/6.18
% 1.06/6.18
%------------------------------------------------------------------------------