%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS093+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 : 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 01:54:08 PM UTC 2026
% Result : Unsatisfiable 0.46s 1.29s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 4 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 24 ~; 19 |; 3 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ce3(X0)
& cf(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cc(X0)
=> ~ cd(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f7,axiom,
! [X0] :
( ce3(X0)
=> cc(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cf(X0)
=> cd(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
cUnsatisfiable(i2003_11_14_17_20_07201),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ce3(X0)
& cf(X0) ) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f15,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ( ce3(X0)
& cf(X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f16,plain,
! [X0] :
( ~ cc(X0)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f17,plain,
! [X0] :
( ~ ce3(X0)
| cc(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0] :
( ~ cf(X0)
| cd(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f19,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ce3(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f20,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cf(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f21,plain,
! [X0] :
( ~ cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f22,plain,
! [X0] :
( ~ ce3(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f23,plain,
! [X0] :
( ~ cf(X0)
| cd(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f24,plain,
cUnsatisfiable(i2003_11_14_17_20_07201),
inference(cnf_transformation,[],[f9]) ).
tcf(c_49,plain,
! [X0: $i] :
( cf(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_50,plain,
! [X0: $i] :
( ce3(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_51,plain,
! [X0: $i] :
( ~ cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_52,plain,
! [X0: $i] :
( cc(X0)
| ~ ce3(X0) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_53,plain,
! [X0: $i] :
( cd(X0)
| ~ cf(X0) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_54,plain,
cUnsatisfiable(i2003_11_14_17_20_07201),
inference(cnf_transformation,[],[f24]) ).
tcf(c_55,plain,
( cd(i2003_11_14_17_20_07201)
| ~ cf(i2003_11_14_17_20_07201) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_56,plain,
( cc(i2003_11_14_17_20_07201)
| ~ ce3(i2003_11_14_17_20_07201) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_57,plain,
( ce3(i2003_11_14_17_20_07201)
| ~ cUnsatisfiable(i2003_11_14_17_20_07201) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_58,plain,
( cf(i2003_11_14_17_20_07201)
| ~ cUnsatisfiable(i2003_11_14_17_20_07201) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_59,plain,
( ~ cc(i2003_11_14_17_20_07201)
| ~ cd(i2003_11_14_17_20_07201) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_60,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_59,c_58,c_57,c_56,c_55,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS093+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 19:21:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 0.46/1.29 % SZS status Started for theBenchmark.p
% 0.46/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.29
% 0.46/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.46/1.29
% 0.46/1.29 % ------ iProver source info
% 0.46/1.29
% 0.46/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.46/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.46/1.29 % git: non_committed_changes: false
% 0.46/1.29
% 0.46/1.29 % ------ Parsing...
% 0.46/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.46/1.29 %
% 0.46/1.29
% 0.46/1.29 % ------ Preprocessing...%
% 0.46/1.29
% 0.46/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.29
% 0.46/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.29
% 0.46/1.29
%------------------------------------------------------------------------------