TSTP Solution File: KRS090+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS090+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 02:33:35 EDT 2024
% Result : Unsatisfiable 0.78s 1.12s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 6 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 141 ( 64 ~; 56 |; 13 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 47 ( 0 sgn 25 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( cC2(X0)
=> ( ( cA(X0)
| cB(X0) )
& ( cA(X0)
| ~ cB(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cC3(X0)
=> ( ( ~ cA(X0)
| cB(X0) )
& ( ~ cA(X0)
| ~ cB(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( cC4(X0)
=> ? [X1] :
( cC2(X1)
& rR(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cC5(X0)
=> ! [X1] :
( rR(X0,X1)
=> cC3(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cTEST(X0)
=> ( cC5(X0)
& cC1(X0)
& cC4(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
cTEST(i2003_11_14_17_19_57994),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f42,plain,
! [X0] :
( cTEST(X0)
=> ( cC5(X0)
& cC4(X0) ) ),
inference(pure_predicate_removal,[],[f8]) ).
fof(f45,plain,
! [X0] :
( ( ( cA(X0)
| cB(X0) )
& ( cA(X0)
| ~ cB(X0) ) )
| ~ cC2(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0] :
( ( ( ~ cA(X0)
| cB(X0) )
& ( ~ cA(X0)
| ~ cB(X0) ) )
| ~ cC3(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
( cC2(X1)
& rR(X0,X1) )
| ~ cC4(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( cC3(X1)
| ~ rR(X0,X1) )
| ~ cC5(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f49,plain,
! [X0] :
( ( cC5(X0)
& cC4(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f50,plain,
! [X0] :
( ? [X1] :
( cC2(X1)
& rR(X0,X1) )
=> ( cC2(sK0(X0))
& rR(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0] :
( ( cC2(sK0(X0))
& rR(X0,sK0(X0)) )
| ~ cC4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f47,f50]) ).
fof(f52,plain,
! [X0] :
( cA(X0)
| ~ cB(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f53,plain,
! [X0] :
( cA(X0)
| cB(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f54,plain,
! [X0] :
( ~ cA(X0)
| ~ cB(X0)
| ~ cC3(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f55,plain,
! [X0] :
( ~ cA(X0)
| cB(X0)
| ~ cC3(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f56,plain,
! [X0] :
( rR(X0,sK0(X0))
| ~ cC4(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f57,plain,
! [X0] :
( cC2(sK0(X0))
| ~ cC4(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f58,plain,
! [X0,X1] :
( cC3(X1)
| ~ rR(X0,X1)
| ~ cC5(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f59,plain,
! [X0] :
( cC4(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f60,plain,
! [X0] :
( cC5(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f61,plain,
cTEST(i2003_11_14_17_19_57994),
inference(cnf_transformation,[],[f9]) ).
cnf(c_49,plain,
( ~ cC2(X0)
| cA(X0)
| cB(X0) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_50,plain,
( ~ cB(X0)
| ~ cC2(X0)
| cA(X0) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_51,plain,
( ~ cA(X0)
| ~ cC3(X0)
| cB(X0) ),
inference(cnf_transformation,[],[f55]) ).
cnf(c_52,plain,
( ~ cA(X0)
| ~ cB(X0)
| ~ cC3(X0) ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_53,plain,
( ~ cC4(X0)
| cC2(sK0(X0)) ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_54,plain,
( ~ cC4(X0)
| rR(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_55,plain,
( ~ rR(X0,X1)
| ~ cC5(X0)
| cC3(X1) ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_56,plain,
( ~ cTEST(X0)
| cC5(X0) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_57,plain,
( ~ cTEST(X0)
| cC4(X0) ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_58,plain,
cTEST(i2003_11_14_17_19_57994),
inference(cnf_transformation,[],[f61]) ).
cnf(c_59,plain,
( ~ cTEST(i2003_11_14_17_19_57994)
| cC4(i2003_11_14_17_19_57994) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_60,plain,
( ~ cTEST(i2003_11_14_17_19_57994)
| cC5(i2003_11_14_17_19_57994) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_62,plain,
( ~ cC4(i2003_11_14_17_19_57994)
| rR(i2003_11_14_17_19_57994,sK0(i2003_11_14_17_19_57994)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_68,plain,
( cA(X0)
| ~ cC2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_49,c_50]) ).
cnf(c_69,plain,
( ~ cC2(X0)
| cA(X0) ),
inference(renaming,[status(thm)],[c_68]) ).
cnf(c_71,plain,
( ~ cC3(X0)
| ~ cA(X0) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_51,c_52]) ).
cnf(c_72,plain,
( ~ cA(X0)
| ~ cC3(X0) ),
inference(renaming,[status(thm)],[c_71]) ).
cnf(c_74,plain,
( ~ cC2(X0)
| cA(X0) ),
inference(global_subsumption_just,[status(thm)],[c_50,c_69]) ).
cnf(c_76,plain,
( ~ cA(X0)
| ~ cC3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_72]) ).
cnf(c_110,plain,
( ~ cC2(X0)
| ~ cC3(X0) ),
inference(resolution,[status(thm)],[c_74,c_76]) ).
cnf(c_120,plain,
( ~ cC3(sK0(X0))
| ~ cC4(X0) ),
inference(resolution,[status(thm)],[c_110,c_53]) ).
cnf(c_130,plain,
cC4(i2003_11_14_17_19_57994),
inference(resolution,[status(thm)],[c_57,c_58]) ).
cnf(c_140,plain,
~ cC3(sK0(i2003_11_14_17_19_57994)),
inference(resolution,[status(thm)],[c_120,c_130]) ).
cnf(c_150,plain,
( ~ rR(X0,sK0(i2003_11_14_17_19_57994))
| ~ cC5(X0) ),
inference(resolution,[status(thm)],[c_55,c_140]) ).
cnf(c_151,plain,
( ~ rR(i2003_11_14_17_19_57994,sK0(i2003_11_14_17_19_57994))
| ~ cC5(i2003_11_14_17_19_57994) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_152,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_151,c_62,c_60,c_59,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS090+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 22:58:06 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.78/1.12 % SZS status Started for theBenchmark.p
% 0.78/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.78/1.12
% 0.78/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.78/1.12
% 0.78/1.12 ------ iProver source info
% 0.78/1.12
% 0.78/1.12 git: date: 2024-05-02 19:28:25 +0000
% 0.78/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.78/1.12 git: non_committed_changes: false
% 0.78/1.12
% 0.78/1.12 ------ Parsing...
% 0.78/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.78/1.12
% 0.78/1.12 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s
% 0.78/1.12
% 0.78/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.78/1.12
% 0.78/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.78/1.12
% 0.78/1.12
%------------------------------------------------------------------------------