%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS068+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 01:54:04 PM UTC 2026
% Result : Unsatisfiable 1.15s 1.28s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 56 ( 26 ~; 22 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 25 ( 0 sgn 24 !; 1 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cc(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> ~ cd(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cc(X0)
=> ! [X1] :
( rr(X0,X1)
=> cc(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
cUnsatisfiable(i2003_11_14_17_18_23845),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( ! [X1] :
( rr(X0,X1)
=> cc(X1) )
=> cd(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f10,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f11,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0] :
( ~ cc(X0)
| ! [X1] :
( ~ rr(X0,X1)
| cc(X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f13,plain,
! [X0] :
( ? [X1] :
( rr(X0,X1)
& ~ cc(X1) )
| cd(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f14,plain,
! [X0] :
( ( rr(X0,sK0(X0))
& ~ cc(sK0(X0)) )
| cd(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f13]) ).
fof(f15,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f16,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f17,plain,
! [X0,X1] :
( ~ cc(X0)
| ~ rr(X0,X1)
| cc(X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f18,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(cnf_transformation,[],[f6]) ).
fof(f19,plain,
! [X0] :
( rr(X0,sK0(X0))
| cd(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f20,plain,
! [X0] :
( ~ cc(sK0(X0))
| cd(X0) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_49,plain,
! [X0: $i] :
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_50,plain,
! [X0: $i] :
( ~ cd(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( cc(X1)
| ~ cc(X0)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_52,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(cnf_transformation,[],[f18]) ).
tcf(c_53,plain,
! [X0: $i] :
( cd(X0)
| ~ cc(sK0(X0)) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_54,plain,
! [X0: $i] :
( cd(X0)
| rr(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_55,plain,
( cc(i2003_11_14_17_18_23845)
| ~ cUnsatisfiable(i2003_11_14_17_18_23845) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_57,plain,
( cd(i2003_11_14_17_18_23845)
| ~ cc(sK0(i2003_11_14_17_18_23845)) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_58,plain,
( ~ cd(i2003_11_14_17_18_23845)
| ~ cUnsatisfiable(i2003_11_14_17_18_23845) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_83,plain,
~ cd(i2003_11_14_17_18_23845),
inference(resolution,[status(thm)],[c_50,c_52]) ).
tcf(c_93,plain,
rr(i2003_11_14_17_18_23845,sK0(i2003_11_14_17_18_23845)),
inference(resolution,[status(thm)],[c_54,c_83]) ).
tcf(c_103,plain,
( cc(sK0(i2003_11_14_17_18_23845))
| ~ cc(i2003_11_14_17_18_23845) ),
inference(resolution,[status(thm)],[c_51,c_93]) ).
tcf(c_104,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_103,c_58,c_57,c_55,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS068+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 19:19:33 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.42
% 0.13/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42
% 0.13/0.42 % Detected problem language: tptp
% 0.13/0.43 % Proving...
% 1.15/1.28 % SZS status Started for theBenchmark.p
% 1.15/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.15/1.28
% 1.15/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.15/1.28
% 1.15/1.28 % ------ iProver source info
% 1.15/1.28
% 1.15/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.15/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.15/1.28 % git: non_committed_changes: false
% 1.15/1.28
% 1.15/1.28 % ------ Parsing...
% 1.15/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.15/1.28
% 1.15/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s%
% 1.15/1.28
% 1.15/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.15/1.28
% 1.15/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.15/1.28
% 1.15/1.28
%------------------------------------------------------------------------------