TSTP Solution File: KRS068+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS068+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 02:33:31 EDT 2024
% Result : Unsatisfiable 0.68s 1.12s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 6 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 28 ~; 22 |; 4 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 27 ( 0 sgn 19 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cc(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> ~ cd(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,
cUnsatisfiable(i2003_11_14_17_18_23845),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( ! [X1] :
( rr(X0,X1)
=> cc(X1) )
=> cd(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f10,plain,
! [X0] :
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f11,plain,
! [X0] :
( ~ cd(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0] :
( ! [X1] :
( cc(X1)
| ~ rr(X0,X1) )
| ~ cc(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f13,plain,
! [X0] :
( cd(X0)
| ? [X1] :
( ~ cc(X1)
& rr(X0,X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f14,plain,
! [X0] :
( ? [X1] :
( ~ cc(X1)
& rr(X0,X1) )
=> ( ~ cc(sK0(X0))
& rr(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
( cd(X0)
| ( ~ cc(sK0(X0))
& rr(X0,sK0(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f13,f14]) ).
fof(f16,plain,
! [X0] :
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f17,plain,
! [X0] :
( ~ cd(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X0,X1] :
( cc(X1)
| ~ rr(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f19,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(cnf_transformation,[],[f6]) ).
fof(f20,plain,
! [X0] :
( cd(X0)
| rr(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f21,plain,
! [X0] :
( cd(X0)
| ~ cc(sK0(X0)) ),
inference(cnf_transformation,[],[f15]) ).
cnf(c_49,plain,
( ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f16]) ).
cnf(c_50,plain,
( ~ cUnsatisfiable(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f17]) ).
cnf(c_51,plain,
( ~ rr(X0,X1)
| ~ cc(X0)
| cc(X1) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_52,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(cnf_transformation,[],[f19]) ).
cnf(c_53,plain,
( ~ cc(sK0(X0))
| cd(X0) ),
inference(cnf_transformation,[],[f21]) ).
cnf(c_54,plain,
( rr(X0,sK0(X0))
| cd(X0) ),
inference(cnf_transformation,[],[f20]) ).
cnf(c_55,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_23845)
| cc(i2003_11_14_17_18_23845) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_57,plain,
( ~ cc(sK0(i2003_11_14_17_18_23845))
| cd(i2003_11_14_17_18_23845) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_58,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_23845)
| ~ cd(i2003_11_14_17_18_23845) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_83,plain,
~ cd(i2003_11_14_17_18_23845),
inference(resolution,[status(thm)],[c_50,c_52]) ).
cnf(c_93,plain,
rr(i2003_11_14_17_18_23845,sK0(i2003_11_14_17_18_23845)),
inference(resolution,[status(thm)],[c_54,c_83]) ).
cnf(c_103,plain,
( ~ cc(i2003_11_14_17_18_23845)
| cc(sK0(i2003_11_14_17_18_23845)) ),
inference(resolution,[status(thm)],[c_51,c_93]) ).
cnf(c_104,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_103,c_58,c_57,c_55,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : KRS068+1 : TPTP v8.1.2. Released v3.1.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n018.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu May 2 22:52:16 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 0.68/1.12 % SZS status Started for theBenchmark.p
% 0.68/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.68/1.12
% 0.68/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.68/1.12
% 0.68/1.12 ------ iProver source info
% 0.68/1.12
% 0.68/1.12 git: date: 2024-05-02 19:28:25 +0000
% 0.68/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.68/1.12 git: non_committed_changes: false
% 0.68/1.12
% 0.68/1.12 ------ Parsing...
% 0.68/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.68/1.12
% 0.68/1.12 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s
% 0.68/1.12
% 0.68/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.68/1.12
% 0.68/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.68/1.12
% 0.68/1.12
%------------------------------------------------------------------------------