%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS100+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 : n012.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 01:54:09 PM UTC 2026
% Result : Unsatisfiable 0.64s 1.05s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 107 ( 45 ~; 35 |; 18 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 39 ( 0 sgn 34 !; 5 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ~ ce(X1)
& rr(X0,X1) )
& ! [X1] :
( rr(X0,X1)
=> cd(X1) )
& ! [X1] :
( rr(X0,X1)
=> ( ~ cd(X1)
| ce(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f5,axiom,
cUnsatisfiable(i2003_11_14_17_20_32704),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X3] :
( ~ ce(X3)
& rr(X0,X3) )
& ! [X2] :
( rr(X0,X2)
=> cd(X2) )
& ! [X1] :
( rr(X0,X1)
=> ( ~ cd(X1)
| ce(X1) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f7,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ? [X3] :
( ~ ce(X3)
& rr(X0,X3) )
& ! [X2] :
( rr(X0,X2)
=> cd(X2) )
& ! [X1] :
( rr(X0,X1)
=> ( ~ cd(X1)
| ce(X1) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f11,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ( ? [X3] :
( ~ ce(X3)
& rr(X0,X3) )
& ! [X2] :
( ~ rr(X0,X2)
| cd(X2) )
& ! [X1] :
( ~ rr(X0,X1)
| ~ cd(X1)
| ce(X1) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f12,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ( ? [X3] :
( ~ ce(X3)
& rr(X0,X3) )
& ! [X2] :
( ~ rr(X0,X2)
| cd(X2) )
& ! [X1] :
( ~ rr(X0,X1)
| ~ cd(X1)
| ce(X1) ) ) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ( ~ ce(sK0(X0))
& rr(X0,sK0(X0))
& ! [X2] :
( ~ rr(X0,X2)
| cd(X2) )
& ! [X1] :
( ~ rr(X0,X1)
| ~ cd(X1)
| ce(X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0))],[f12]) ).
fof(f14,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ ce(sK0(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f16,plain,
! [X2,X0] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X2)
| cd(X2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f17,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ~ cd(X1)
| ce(X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f18,plain,
cUnsatisfiable(i2003_11_14_17_20_32704),
inference(cnf_transformation,[],[f5]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( ce(X1)
| ~ cUnsatisfiable(X0)
| ~ cd(X1)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( cd(X1)
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_51,plain,
! [X0: $i] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ ce(sK0(X0)) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_53,plain,
cUnsatisfiable(i2003_11_14_17_20_32704),
inference(cnf_transformation,[],[f18]) ).
tcf(c_55,plain,
( rr(i2003_11_14_17_20_32704,sK0(i2003_11_14_17_20_32704))
| ~ cUnsatisfiable(i2003_11_14_17_20_32704) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( ce(X1)
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_50,c_49]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( ~ cUnsatisfiable(X1)
| ~ cUnsatisfiable(X0)
| ~ rr(X0,sK0(X1)) ),
inference(resolution,[status(thm)],[c_58,c_52]) ).
tcf(c_84,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_32704)
| ~ rr(i2003_11_14_17_20_32704,sK0(i2003_11_14_17_20_32704)) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_85,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_84,c_55,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS100+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Wed Sep 23 19:22:50 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.04/0.32
% 0.04/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.32
% 0.04/0.32 % Detected problem language: tptp
% 0.06/0.33 % Proving...
% 0.64/1.05 % SZS status Started for theBenchmark.p
% 0.64/1.05 % SZS status Unsatisfiable for theBenchmark.p
% 0.64/1.05
% 0.64/1.05 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.64/1.05
% 0.64/1.05 % ------ iProver source info
% 0.64/1.05
% 0.64/1.05 % git: date: 2026-07-19 20:42:38 +0200
% 0.64/1.05 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.64/1.05 % git: non_committed_changes: false
% 0.64/1.05
% 0.64/1.05 % ------ Parsing...
% 0.64/1.05 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.64/1.05
% 0.64/1.05 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s %
% 0.64/1.05
% 0.64/1.05 % SZS status Unsatisfiable for theBenchmark.p
% 0.64/1.05
% 0.64/1.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.64/1.05
% 0.64/1.05
%------------------------------------------------------------------------------