%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS124+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 : n015.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 01:54:12 PM UTC 2026
% Result : Unsatisfiable 1.13s 1.27s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 43 ( 7 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 95 ( 39 ~; 29 |; 12 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 60 ( 0 sgn 50 !; 10 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rr(X0,X1)
=> ca_Ax3(X1) )
& ? [X1] :
( cowlThing(X1)
& rr(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cc(X0)
=> cdxcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f7,axiom,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f13,axiom,
! [X0] :
( ca_Ax3(X0)
<=> ( cc(X0)
& cd(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f14,axiom,
cUnsatisfiable(i2003_11_14_17_22_10903),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f15,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X2] :
( rr(X0,X2)
=> ca_Ax3(X2) )
& ? [X1] :
( cowlThing(X1)
& rr(X0,X1) ) ) ),
inference(rectify,[],[f3]) ).
fof(f18,plain,
! [X0] :
( cdxcomp(X0)
=> ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f19,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ! [X2] :
( rr(X0,X2)
=> ca_Ax3(X2) )
& ? [X1] :
( cowlThing(X1)
& rr(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f20,plain,
! [X0] :
( ca_Ax3(X0)
=> ( cc(X0)
& cd(X0) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f21,plain,
! [X0] :
( cd(X0)
=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f23,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ! [X2] :
( rr(X0,X2)
=> ca_Ax3(X2) )
& ? [X1] : rr(X0,X1) ) ),
inference(pure_predicate_removal,[],[f19]) ).
fof(f31,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ( ! [X2] :
( ~ rr(X0,X2)
| ca_Ax3(X2) )
& ? [X1] : rr(X0,X1) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f32,plain,
! [X0] :
( ~ cc(X0)
| cdxcomp(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f33,plain,
! [X0] :
( ~ cd(X0)
| ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f34,plain,
! [X0] :
( ~ cdxcomp(X0)
| ? [X1] : ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f35,plain,
! [X0] :
( ~ ca_Ax3(X0)
| ( cc(X0)
& cd(X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f36,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ( ! [X2] :
( ~ rr(X0,X2)
| ca_Ax3(X2) )
& rr(X0,sK0(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f31]) ).
fof(f37,plain,
! [X0] :
( ~ cdxcomp(X0)
| ra_Px1(X0,sK1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f34]) ).
fof(f38,plain,
! [X2,X0] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X2)
| ca_Ax3(X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f39,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f40,plain,
! [X0] :
( ~ cc(X0)
| cdxcomp(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f41,plain,
! [X0,X1] :
( ~ cd(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f42,plain,
! [X0] :
( ~ cdxcomp(X0)
| ra_Px1(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f43,plain,
! [X0] :
( ~ ca_Ax3(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f44,plain,
! [X0] :
( ~ ca_Ax3(X0)
| cd(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f45,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(cnf_transformation,[],[f14]) ).
tcf(c_49,plain,
! [X0: $i] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( ca_Ax3(X1)
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_51,plain,
! [X0: $i] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( ~ cd(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_53,plain,
! [X0: $i] :
( ra_Px1(X0,sK1(X0))
| ~ cdxcomp(X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_54,plain,
! [X0: $i] :
( cd(X0)
| ~ ca_Ax3(X0) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_55,plain,
! [X0: $i] :
( cc(X0)
| ~ ca_Ax3(X0) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_56,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(cnf_transformation,[],[f45]) ).
tcf(c_96,plain,
! [X0: $i] :
( ra_Px1(X0,sK1(X0))
| ~ cc(X0) ),
inference(resolution,[status(thm)],[c_51,c_53]) ).
tcf(c_106,plain,
! [X0: $i] :
( ra_Px1(X0,sK1(X0))
| ~ ca_Ax3(X0) ),
inference(resolution,[status(thm)],[c_55,c_96]) ).
tcf(c_116,plain,
! [X0: $i] :
( ~ cd(X0)
| ~ ca_Ax3(X0) ),
inference(resolution,[status(thm)],[c_52,c_106]) ).
tcf(c_118,plain,
! [X0: $i] : ~ ca_Ax3(X0),
inference(global_subsumption_just,[status(thm)],[c_116,c_54,c_116]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_118]) ).
tcf(c_127,plain,
! [X0: $i] : ~ cUnsatisfiable(X0),
inference(resolution,[status(thm)],[c_49,c_125]) ).
tcf(c_128,plain,
~ cUnsatisfiable(i2003_11_14_17_22_10903),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_129,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_128,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS124+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 19:30:26 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.13/1.27 % SZS status Started for theBenchmark.p
% 1.13/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.13/1.27
% 1.13/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.13/1.27
% 1.13/1.27 % ------ iProver source info
% 1.13/1.27
% 1.13/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.13/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.13/1.27 % git: non_committed_changes: false
% 1.13/1.27
% 1.13/1.27 % ------ Parsing...
% 1.13/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.13/1.27
% 1.13/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 1.13/1.27
% 1.13/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.13/1.27
% 1.13/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.13/1.27
% 1.13/1.27
%------------------------------------------------------------------------------