TSTP Solution File: KRS203+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS203+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 02:33:56 EDT 2024
% Result : Theorem 4.01s 1.19s
% Output : CNFRefutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 66 ( 21 unt; 0 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 200 ( 79 ~; 59 |; 46 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 150 ( 7 sgn 64 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ? [X2] :
( model(X2,X1)
& model(X2,X0) )
<=> status(X0,X1,sat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sat) ).
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f22,axiom,
! [X6,X7] :
( ? [X0,X1] :
( ~ status(X0,X1,X7)
& status(X0,X1,X6) )
<=> nota(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology) ).
fof(f31,axiom,
? [X0,X1] :
( ? [X5] : ~ model(X5,X1)
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) )
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X2] : model(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mixed_pair) ).
fof(f33,conjecture,
nota(sat,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_sat_thm) ).
fof(f34,negated_conjecture,
~ nota(sat,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
<=> nota(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f53,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f57,plain,
? [X0,X1] :
( ? [X2] : ~ model(X2,X1)
& ? [X3] :
( model(X3,X1)
& ~ model(X3,X0) )
& ! [X4] :
( model(X4,X0)
=> model(X4,X1) )
& ? [X5] : model(X5,X0) ),
inference(rectify,[],[f31]) ).
fof(f59,plain,
~ nota(sat,thm),
inference(flattening,[],[f34]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
=> nota(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f48]) ).
fof(f63,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f70,plain,
! [X0,X1] :
( nota(X0,X1)
| ! [X2,X3] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f71,plain,
? [X0,X1] :
( ? [X2] : ~ model(X2,X1)
& ? [X3] :
( model(X3,X1)
& ~ model(X3,X0) )
& ! [X4] :
( model(X4,X1)
| ~ model(X4,X0) )
& ? [X5] : model(X5,X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f91,plain,
! [X0,X1] :
( ( ? [X2] :
( model(X2,X1)
& model(X2,X0) )
| ~ status(X0,X1,sat) )
& ( status(X0,X1,sat)
| ! [X2] :
( ~ model(X2,X1)
| ~ model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f92,plain,
! [X0,X1] :
( ( ? [X2] :
( model(X2,X1)
& model(X2,X0) )
| ~ status(X0,X1,sat) )
& ( status(X0,X1,sat)
| ! [X3] :
( ~ model(X3,X1)
| ~ model(X3,X0) ) ) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,X1)
& model(X2,X0) )
=> ( model(sK8(X0,X1),X1)
& model(sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1] :
( ( ( model(sK8(X0,X1),X1)
& model(sK8(X0,X1),X0) )
| ~ status(X0,X1,sat) )
& ( status(X0,X1,sat)
| ! [X3] :
( ~ model(X3,X1)
| ~ model(X3,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f92,f93]) ).
fof(f95,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f96,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) ) ) ),
inference(rectify,[],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK9(X0,X1),X1)
& model(sK9(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK9(X0,X1),X1)
& model(sK9(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f96,f97]) ).
fof(f185,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK41) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X1] : model(X1,sK41),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f53,f185]) ).
fof(f197,plain,
( ? [X0,X1] :
( ? [X2] : ~ model(X2,X1)
& ? [X3] :
( model(X3,X1)
& ~ model(X3,X0) )
& ! [X4] :
( model(X4,X1)
| ~ model(X4,X0) )
& ? [X5] : model(X5,X0) )
=> ( ? [X2] : ~ model(X2,sK51)
& ? [X3] :
( model(X3,sK51)
& ~ model(X3,sK50) )
& ! [X4] :
( model(X4,sK51)
| ~ model(X4,sK50) )
& ? [X5] : model(X5,sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
( ? [X2] : ~ model(X2,sK51)
=> ~ model(sK52,sK51) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
( ? [X3] :
( model(X3,sK51)
& ~ model(X3,sK50) )
=> ( model(sK53,sK51)
& ~ model(sK53,sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
( ? [X5] : model(X5,sK50)
=> model(sK54,sK50) ),
introduced(choice_axiom,[]) ).
fof(f201,plain,
( ~ model(sK52,sK51)
& model(sK53,sK51)
& ~ model(sK53,sK50)
& ! [X4] :
( model(X4,sK51)
| ~ model(X4,sK50) )
& model(sK54,sK50) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50,sK51,sK52,sK53,sK54])],[f71,f200,f199,f198,f197]) ).
fof(f215,plain,
! [X3,X0,X1] :
( status(X0,X1,sat)
| ~ model(X3,X1)
| ~ model(X3,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f218,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f220,plain,
! [X2,X0,X1] :
( model(X2,X1)
| ~ model(X2,X0)
| ~ status(X0,X1,thm) ),
inference(cnf_transformation,[],[f98]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( nota(X0,X1)
| status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f283,plain,
! [X1] : model(X1,sK41),
inference(cnf_transformation,[],[f186]) ).
fof(f292,plain,
~ model(sK53,sK50),
inference(cnf_transformation,[],[f201]) ).
fof(f293,plain,
model(sK53,sK51),
inference(cnf_transformation,[],[f201]) ).
fof(f294,plain,
~ model(sK52,sK51),
inference(cnf_transformation,[],[f201]) ).
fof(f298,plain,
~ nota(sat,thm),
inference(cnf_transformation,[],[f59]) ).
cnf(c_61,plain,
( ~ model(X0,X1)
| ~ model(X0,X2)
| status(X2,X1,sat) ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_62,plain,
( ~ status(X0,X1,thm)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(cnf_transformation,[],[f220]) ).
cnf(c_64,plain,
( model(sK9(X0,X1),X0)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f218]) ).
cnf(c_122,plain,
( ~ status(X0,X1,X2)
| status(X0,X1,X3)
| nota(X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
cnf(c_127,plain,
model(X0,sK41),
inference(cnf_transformation,[],[f283]) ).
cnf(c_134,plain,
~ model(sK52,sK51),
inference(cnf_transformation,[],[f294]) ).
cnf(c_135,plain,
model(sK53,sK51),
inference(cnf_transformation,[],[f293]) ).
cnf(c_136,plain,
~ model(sK53,sK50),
inference(cnf_transformation,[],[f292]) ).
cnf(c_142,negated_conjecture,
~ nota(sat,thm),
inference(cnf_transformation,[],[f298]) ).
cnf(c_973,plain,
( ~ status(X0,X1,sat)
| status(X0,X1,thm) ),
inference(resolution,[status(thm)],[c_122,c_142]) ).
cnf(c_1019,plain,
( ~ status(X0,X1,sat)
| status(X0,X1,thm) ),
inference(prop_impl_just,[status(thm)],[c_973]) ).
cnf(c_1749,plain,
( ~ status(X0_13,X1_13,sat)
| status(X0_13,X1_13,thm) ),
inference(subtyping,[status(esa)],[c_1019]) ).
cnf(c_1759,plain,
~ model(sK52,sK51),
inference(subtyping,[status(esa)],[c_134]) ).
cnf(c_1766,plain,
model(X0_15,sK41),
inference(subtyping,[status(esa)],[c_127]) ).
cnf(c_1824,plain,
( model(sK9(X0_13,X1_13),X0_13)
| status(X0_13,X1_13,thm) ),
inference(subtyping,[status(esa)],[c_64]) ).
cnf(c_1826,plain,
( ~ status(X0_13,X1_13,thm)
| ~ model(X0_15,X0_13)
| model(X0_15,X1_13) ),
inference(subtyping,[status(esa)],[c_62]) ).
cnf(c_1827,plain,
( ~ model(X0_15,X0_13)
| ~ model(X0_15,X1_13)
| status(X0_13,X1_13,sat) ),
inference(subtyping,[status(esa)],[c_61]) ).
cnf(c_2510,plain,
( ~ status(sK51,X0_13,thm)
| ~ model(sK53,sK51)
| model(sK53,X0_13) ),
inference(instantiation,[status(thm)],[c_1826]) ).
cnf(c_2511,plain,
( ~ status(sK51,sK50,thm)
| ~ model(sK53,sK51)
| model(sK53,sK50) ),
inference(instantiation,[status(thm)],[c_2510]) ).
cnf(c_3074,plain,
( ~ model(sK9(X0_13,X1_13),X2_13)
| status(X0_13,X1_13,thm)
| status(X2_13,X0_13,sat) ),
inference(resolution,[status(thm)],[c_1827,c_1824]) ).
cnf(c_3119,plain,
( ~ status(X0_13,X1_13,sat)
| ~ model(X0_15,X0_13)
| model(X0_15,X1_13) ),
inference(resolution,[status(thm)],[c_1749,c_1826]) ).
cnf(c_3735,plain,
( status(X0_13,X1_13,thm)
| status(sK41,X0_13,sat) ),
inference(resolution,[status(thm)],[c_1766,c_3074]) ).
cnf(c_4794,plain,
( ~ model(X0_15,sK41)
| status(X0_13,X1_13,thm)
| model(X0_15,X0_13) ),
inference(resolution,[status(thm)],[c_3735,c_3119]) ).
cnf(c_7123,plain,
( status(X0_13,X1_13,thm)
| model(X0_15,X0_13) ),
inference(global_subsumption_just,[status(thm)],[c_4794,c_1766,c_4794]) ).
cnf(c_7137,plain,
status(sK51,X0_13,thm),
inference(resolution,[status(thm)],[c_7123,c_1759]) ).
cnf(c_7138,plain,
status(sK51,sK50,thm),
inference(instantiation,[status(thm)],[c_7137]) ).
cnf(c_7139,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7138,c_2511,c_136,c_135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KRS203+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.11/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 22:54:54 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 4.01/1.19 % SZS status Started for theBenchmark.p
% 4.01/1.19 % SZS status Theorem for theBenchmark.p
% 4.01/1.19
% 4.01/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.01/1.19
% 4.01/1.19 ------ iProver source info
% 4.01/1.19
% 4.01/1.19 git: date: 2024-05-02 19:28:25 +0000
% 4.01/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.01/1.19 git: non_committed_changes: false
% 4.01/1.19
% 4.01/1.19 ------ Parsing...
% 4.01/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.01/1.19
% 4.01/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 4.01/1.19
% 4.01/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.01/1.19 ------ Proving...
% 4.01/1.19 ------ Problem Properties
% 4.01/1.19
% 4.01/1.19
% 4.01/1.19 clauses 91
% 4.01/1.19 conjectures 0
% 4.01/1.19 EPR 39
% 4.01/1.19 Horn 72
% 4.01/1.19 unary 13
% 4.01/1.19 binary 47
% 4.01/1.19 lits 220
% 4.01/1.19 lits eq 0
% 4.01/1.19 fd_pure 0
% 4.01/1.19 fd_pseudo 0
% 4.01/1.19 fd_cond 0
% 4.01/1.19 fd_pseudo_cond 0
% 4.01/1.19 AC symbols 0
% 4.01/1.19
% 4.01/1.19 ------ Input Options Time Limit: Unbounded
% 4.01/1.19
% 4.01/1.19
% 4.01/1.19 ------
% 4.01/1.19 Current options:
% 4.01/1.19 ------
% 4.01/1.19
% 4.01/1.19
% 4.01/1.19
% 4.01/1.19
% 4.01/1.19 ------ Proving...
% 4.01/1.19
% 4.01/1.19
% 4.01/1.19 % SZS status Theorem for theBenchmark.p
% 4.01/1.19
% 4.01/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.01/1.19
% 4.01/1.19
%------------------------------------------------------------------------------