%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS105+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 : n016.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 01:54:10 PM UTC 2026
% Result : Unsatisfiable 0.39s 1.28s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 8 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 86 ( 38 ~; 33 |; 2 &)
% ( 3 <=>; 10 =>; 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 : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 51 ( 0 sgn 45 !; 6 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cdxcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cc(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cc(X0)
=> ! [X1] :
( rr(X0,X1)
=> cc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( ca_Ax2(X0)
<=> ! [X1] :
( rr(X0,X1)
=> cc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0] :
( ca_Ax2(X0)
=> cd(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,axiom,
cUnsatisfiable(i2003_11_14_17_20_53634),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f11,plain,
! [X0] :
( ! [X1] :
( rr(X0,X1)
=> cc(X1) )
=> ca_Ax2(X0) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f12,plain,
! [X0] :
( cd(X0)
=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f13,plain,
! [X0] :
( cdxcomp(X0)
=> ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f16,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cdxcomp(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f17,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f18,plain,
! [X0] :
( ~ cc(X0)
| ! [X1] :
( ~ rr(X0,X1)
| cc(X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0] :
( ~ cd(X0)
| ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f20,plain,
! [X0] :
( ~ cdxcomp(X0)
| ? [X1] : ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( rr(X0,X1)
& ~ cc(X1) )
| ca_Ax2(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0] :
( ~ ca_Ax2(X0)
| cd(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f23,plain,
! [X0] :
( ~ cdxcomp(X0)
| ra_Px1(X0,sK0(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f20]) ).
fof(f24,plain,
! [X0] :
( ( rr(X0,sK1(X0))
& ~ cc(sK1(X0)) )
| ca_Ax2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f21]) ).
fof(f25,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cdxcomp(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f26,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f27,plain,
! [X0,X1] :
( ~ cc(X0)
| ~ rr(X0,X1)
| cc(X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f28,plain,
! [X0,X1] :
( ~ cd(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f29,plain,
! [X0] :
( ~ cdxcomp(X0)
| ra_Px1(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f30,plain,
! [X0] :
( rr(X0,sK1(X0))
| ca_Ax2(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f31,plain,
! [X0] :
( ~ cc(sK1(X0))
| ca_Ax2(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f32,plain,
! [X0] :
( ~ ca_Ax2(X0)
| cd(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f33,plain,
cUnsatisfiable(i2003_11_14_17_20_53634),
inference(cnf_transformation,[],[f10]) ).
tcf(c_49,plain,
! [X0: $i] :
( cdxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_50,plain,
! [X0: $i] :
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( cc(X1)
| ~ cc(X0)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( ~ cd(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_53,plain,
! [X0: $i] :
( ra_Px1(X0,sK0(X0))
| ~ cdxcomp(X0) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_54,plain,
! [X0: $i] :
( ca_Ax2(X0)
| ~ cc(sK1(X0)) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_55,plain,
! [X0: $i] :
( ca_Ax2(X0)
| rr(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_56,plain,
! [X0: $i] :
( cd(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_57,plain,
cUnsatisfiable(i2003_11_14_17_20_53634),
inference(cnf_transformation,[],[f33]) ).
tcf(c_58,plain,
( cd(i2003_11_14_17_20_53634)
| ~ ca_Ax2(i2003_11_14_17_20_53634) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_59,plain,
( cc(i2003_11_14_17_20_53634)
| ~ cUnsatisfiable(i2003_11_14_17_20_53634) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_62,plain,
( ca_Ax2(i2003_11_14_17_20_53634)
| ~ cc(sK1(i2003_11_14_17_20_53634)) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_101,plain,
! [X0: $i] :
( ra_Px1(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[c_49,c_53]) ).
tcf(c_111,plain,
ra_Px1(i2003_11_14_17_20_53634,sK0(i2003_11_14_17_20_53634)),
inference(resolution,[status(thm)],[c_101,c_57]) ).
tcf(c_121,plain,
~ cd(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[c_52,c_111]) ).
tcf(c_126,plain,
~ ca_Ax2(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[c_56,c_121]) ).
tcf(c_131,plain,
rr(i2003_11_14_17_20_53634,sK1(i2003_11_14_17_20_53634)),
inference(resolution,[status(thm)],[c_55,c_126]) ).
tcf(c_141,plain,
( cc(sK1(i2003_11_14_17_20_53634))
| ~ cc(i2003_11_14_17_20_53634) ),
inference(resolution,[status(thm)],[c_51,c_131]) ).
tcf(c_142,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_141,c_121,c_62,c_59,c_58,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS105+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.37 % Computer : n016.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Wed Sep 23 19:28:44 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.43
% 0.08/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.43
% 0.08/0.43 % Detected problem language: tptp
% 0.08/0.44 % Proving...
% 0.39/1.28 % SZS status Started for theBenchmark.p
% 0.39/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 0.39/1.28
% 0.39/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.39/1.28
% 0.39/1.28 % ------ iProver source info
% 0.39/1.28
% 0.39/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 0.39/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.39/1.28 % git: non_committed_changes: false
% 0.39/1.28
% 0.39/1.28 % ------ Parsing...
% 0.39/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.39/1.28
% 0.39/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 0.39/1.28
% 0.39/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 0.39/1.28
% 0.39/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.39/1.29
% 0.39/1.29
%------------------------------------------------------------------------------