TSTP Solution File: KRS105+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS105+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:33:38 EDT 2024
% Result : Unsatisfiable 0.90s 1.17s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 51 ( 8 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 93 ( 40 ~; 33 |; 4 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% 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 : 57 ( 1 sgn 37 !; 9 ?)
% 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)
<=> ? [X2] : ra_Px1(X0,X2) ),
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] :
( cdxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f12,plain,
! [X0] :
( ! [X1] :
( rr(X0,X1)
=> cc(X1) )
=> ca_Ax2(X0) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f13,plain,
! [X0] :
( cd(X0)
=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f14,plain,
! [X0] :
( cdxcomp(X0)
=> ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f17,plain,
! [X0] :
( cdxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f18,plain,
! [X0] :
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f19,plain,
! [X0] :
( ! [X1] :
( cc(X1)
| ~ rr(X0,X1) )
| ~ cc(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f20,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f21,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
| ~ cdxcomp(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f22,plain,
! [X0] :
( ca_Ax2(X0)
| ? [X1] :
( ~ cc(X1)
& rr(X0,X1) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0] :
( cd(X0)
| ~ ca_Ax2(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f24,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
( ra_Px1(X0,sK0(X0))
| ~ cdxcomp(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f24]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( ~ cc(X1)
& rr(X0,X1) )
=> ( ~ cc(sK1(X0))
& rr(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ca_Ax2(X0)
| ( ~ cc(sK1(X0))
& rr(X0,sK1(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f22,f26]) ).
fof(f28,plain,
! [X0] :
( cdxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f29,plain,
! [X0] :
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f30,plain,
! [X0,X1] :
( cc(X1)
| ~ rr(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f31,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f32,plain,
! [X0] :
( ra_Px1(X0,sK0(X0))
| ~ cdxcomp(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f33,plain,
! [X0] :
( ca_Ax2(X0)
| rr(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f34,plain,
! [X0] :
( ca_Ax2(X0)
| ~ cc(sK1(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f35,plain,
! [X0] :
( cd(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f36,plain,
cUnsatisfiable(i2003_11_14_17_20_53634),
inference(cnf_transformation,[],[f10]) ).
cnf(c_49,plain,
( ~ cUnsatisfiable(X0)
| cdxcomp(X0) ),
inference(cnf_transformation,[],[f28]) ).
cnf(c_50,plain,
( ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_51,plain,
( ~ rr(X0,X1)
| ~ cc(X0)
| cc(X1) ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_52,plain,
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f31]) ).
cnf(c_53,plain,
( ~ cdxcomp(X0)
| ra_Px1(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f32]) ).
cnf(c_54,plain,
( ~ cc(sK1(X0))
| ca_Ax2(X0) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_55,plain,
( rr(X0,sK1(X0))
| ca_Ax2(X0) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_56,plain,
( ~ ca_Ax2(X0)
| cd(X0) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_57,plain,
cUnsatisfiable(i2003_11_14_17_20_53634),
inference(cnf_transformation,[],[f36]) ).
cnf(c_58,plain,
( ~ ca_Ax2(i2003_11_14_17_20_53634)
| cd(i2003_11_14_17_20_53634) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_59,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_53634)
| cc(i2003_11_14_17_20_53634) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_62,plain,
( ~ cc(sK1(i2003_11_14_17_20_53634))
| ca_Ax2(i2003_11_14_17_20_53634) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_101,plain,
( ~ cUnsatisfiable(X0)
| ra_Px1(X0,sK0(X0)) ),
inference(resolution,[status(thm)],[c_49,c_53]) ).
cnf(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]) ).
cnf(c_121,plain,
~ cd(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[c_52,c_111]) ).
cnf(c_126,plain,
~ ca_Ax2(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[c_56,c_121]) ).
cnf(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]) ).
cnf(c_141,plain,
( ~ cc(i2003_11_14_17_20_53634)
| cc(sK1(i2003_11_14_17_20_53634)) ),
inference(resolution,[status(thm)],[c_51,c_131]) ).
cnf(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
% 0.03/0.12 % Problem : KRS105+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:15:46 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.90/1.17 % SZS status Started for theBenchmark.p
% 0.90/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.90/1.17
% 0.90/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.90/1.17
% 0.90/1.17 ------ iProver source info
% 0.90/1.17
% 0.90/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.90/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.90/1.17 git: non_committed_changes: false
% 0.90/1.17
% 0.90/1.17 ------ Parsing...
% 0.90/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.90/1.17
% 0.90/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s
% 0.90/1.17
% 0.90/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.90/1.17
% 0.90/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.90/1.17
% 0.90/1.17
%------------------------------------------------------------------------------