%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS092+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 : n018.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 1.14s 1.29s
% Output : CNFRefutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 30 ~; 21 |; 15 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 38 ( 0 sgn 33 !; 5 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rr(X0,X1)
=> ( cc(X1)
& cd(X1) ) )
& ? [X1] :
( cowlThing(X1)
& rr(X0,X1) ) ) ),
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(f9,axiom,
cUnsatisfiable(i2003_11_14_17_20_04172),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X2] :
( rr(X0,X2)
=> ( cc(X2)
& cd(X2) ) )
& ? [X1] :
( cowlThing(X1)
& rr(X0,X1) ) ) ),
inference(rectify,[],[f3]) ).
fof(f11,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ! [X2] :
( rr(X0,X2)
=> ( cc(X2)
& cd(X2) ) )
& ? [X1] :
( cowlThing(X1)
& rr(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f13,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ! [X2] :
( rr(X0,X2)
=> ( cc(X2)
& cd(X2) ) )
& ? [X1] : rr(X0,X1) ) ),
inference(pure_predicate_removal,[],[f11]) ).
fof(f19,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ( ! [X2] :
( ~ rr(X0,X2)
| ( cc(X2)
& cd(X2) ) )
& ? [X1] : rr(X0,X1) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f20,plain,
! [X0] :
( ~ cc(X0)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f21,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ( ! [X2] :
( ~ rr(X0,X2)
| ( cc(X2)
& cd(X2) ) )
& rr(X0,sK0(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f19]) ).
fof(f22,plain,
! [X2,X0] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X2)
| cc(X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f23,plain,
! [X2,X0] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X2)
| cd(X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f24,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f25,plain,
! [X0] :
( ~ cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f26,plain,
cUnsatisfiable(i2003_11_14_17_20_04172),
inference(cnf_transformation,[],[f9]) ).
tcf(c_49,plain,
! [X0: $i] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( cd(X1)
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( cc(X1)
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_53,plain,
cUnsatisfiable(i2003_11_14_17_20_04172),
inference(cnf_transformation,[],[f26]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( ~ cc(X1)
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X1) ),
inference(resolution,[status(thm)],[c_50,c_52]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(global_subsumption_just,[status(thm)],[c_80,c_51,c_80]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1) ),
inference(renaming,[status(thm)],[c_82]) ).
tcf(c_92,plain,
! [X0: $i] : ~ cUnsatisfiable(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_83]) ).
tcf(c_94,plain,
~ cUnsatisfiable(i2003_11_14_17_20_04172),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_95,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_94,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS092+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n018.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Wed Sep 23 19:23:32 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 0.16/0.43
% 0.16/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.43
% 0.16/0.43 % Detected problem language: tptp
% 0.16/0.44 % Proving...
% 1.14/1.29 % SZS status Started for theBenchmark.p
% 1.14/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.14/1.29
% 1.14/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.14/1.29
% 1.14/1.29 % ------ iProver source info
% 1.14/1.29
% 1.14/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.14/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.14/1.29 % git: non_committed_changes: false
% 1.14/1.29
% 1.14/1.29 % ------ Parsing...
% 1.14/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.14/1.29
% 1.14/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s%
% 1.14/1.29
% 1.14/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.14/1.29
% 1.14/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.14/1.29
% 1.14/1.29
%------------------------------------------------------------------------------