TSTP Solution File: SWW302+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW302+1 : TPTP v8.1.2. Released v5.2.0.
% 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 Sep 1 00:38:46 EDT 2023
% Result : Theorem 47.83s 7.75s
% Output : CNFRefutation 47.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 65 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 71 ( 31 ~; 17 |; 10 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 44 ( 0 sgn; 27 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5241,axiom,
! [X281,X282] :
( v_Q_H(X281,X282)
=> v_Q(X281,X282) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f5242,conjecture,
! [X281,X282] :
( v_P(X281,X282)
=> ! [X283] :
( ! [X284] :
( v_P(X284,X282)
=> v_Q_H(X284,X283) )
=> v_Q(X281,X283) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5243,negated_conjecture,
~ ! [X281,X282] :
( v_P(X281,X282)
=> ! [X283] :
( ! [X284] :
( v_P(X284,X282)
=> v_Q_H(X284,X283) )
=> v_Q(X281,X283) ) ),
inference(negated_conjecture,[],[f5242]) ).
fof(f10150,plain,
! [X0,X1] :
( v_Q_H(X0,X1)
=> v_Q(X0,X1) ),
inference(rectify,[],[f5241]) ).
fof(f10151,plain,
~ ! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( ! [X3] :
( v_P(X3,X1)
=> v_Q_H(X3,X2) )
=> v_Q(X0,X2) ) ),
inference(rectify,[],[f5243]) ).
fof(f14462,plain,
! [X0,X1] :
( v_Q(X0,X1)
| ~ v_Q_H(X0,X1) ),
inference(ennf_transformation,[],[f10150]) ).
fof(f14463,plain,
? [X0,X1] :
( ? [X2] :
( ~ v_Q(X0,X2)
& ! [X3] :
( v_Q_H(X3,X2)
| ~ v_P(X3,X1) ) )
& v_P(X0,X1) ),
inference(ennf_transformation,[],[f10151]) ).
fof(f16704,plain,
( ? [X0,X1] :
( ? [X2] :
( ~ v_Q(X0,X2)
& ! [X3] :
( v_Q_H(X3,X2)
| ~ v_P(X3,X1) ) )
& v_P(X0,X1) )
=> ( ? [X2] :
( ~ v_Q(sK592,X2)
& ! [X3] :
( v_Q_H(X3,X2)
| ~ v_P(X3,sK593) ) )
& v_P(sK592,sK593) ) ),
introduced(choice_axiom,[]) ).
fof(f16705,plain,
( ? [X2] :
( ~ v_Q(sK592,X2)
& ! [X3] :
( v_Q_H(X3,X2)
| ~ v_P(X3,sK593) ) )
=> ( ~ v_Q(sK592,sK594)
& ! [X3] :
( v_Q_H(X3,sK594)
| ~ v_P(X3,sK593) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16706,plain,
( ~ v_Q(sK592,sK594)
& ! [X3] :
( v_Q_H(X3,sK594)
| ~ v_P(X3,sK593) )
& v_P(sK592,sK593) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK592,sK593,sK594])],[f14463,f16705,f16704]) ).
fof(f23822,plain,
! [X0,X1] :
( v_Q(X0,X1)
| ~ v_Q_H(X0,X1) ),
inference(cnf_transformation,[],[f14462]) ).
fof(f23823,plain,
v_P(sK592,sK593),
inference(cnf_transformation,[],[f16706]) ).
fof(f23824,plain,
! [X3] :
( v_Q_H(X3,sK594)
| ~ v_P(X3,sK593) ),
inference(cnf_transformation,[],[f16706]) ).
fof(f23825,plain,
~ v_Q(sK592,sK594),
inference(cnf_transformation,[],[f16706]) ).
cnf(c_6965,plain,
( ~ v_Q_H(X0,X1)
| v_Q(X0,X1) ),
inference(cnf_transformation,[],[f23822]) ).
cnf(c_6966,negated_conjecture,
~ v_Q(sK592,sK594),
inference(cnf_transformation,[],[f23825]) ).
cnf(c_6967,negated_conjecture,
( ~ v_P(X0,sK593)
| v_Q_H(X0,sK594) ),
inference(cnf_transformation,[],[f23824]) ).
cnf(c_6968,negated_conjecture,
v_P(sK592,sK593),
inference(cnf_transformation,[],[f23823]) ).
cnf(c_16629,plain,
( ~ v_Q_H(X0,X1)
| v_Q(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_6965]) ).
cnf(c_16631,plain,
( ~ v_P(X0,sK593)
| v_Q_H(X0,sK594) ),
inference(prop_impl_just,[status(thm)],[c_6967]) ).
cnf(c_28873,plain,
( X0 != sK592
| X1 != sK594
| ~ v_Q_H(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_16629,c_6966]) ).
cnf(c_28874,plain,
~ v_Q_H(sK592,sK594),
inference(unflattening,[status(thm)],[c_28873]) ).
cnf(c_28879,plain,
( X0 != sK592
| sK594 != sK594
| ~ v_P(X0,sK593) ),
inference(resolution_lifted,[status(thm)],[c_16631,c_28874]) ).
cnf(c_28880,plain,
~ v_P(sK592,sK593),
inference(unflattening,[status(thm)],[c_28879]) ).
cnf(c_28881,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_28880,c_6968]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW302+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.19/0.35 % Computer : n026.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Sun Aug 27 18:27:49 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 47.83/7.75 % SZS status Started for theBenchmark.p
% 47.83/7.75 % SZS status Theorem for theBenchmark.p
% 47.83/7.75
% 47.83/7.75 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 47.83/7.75
% 47.83/7.75 ------ iProver source info
% 47.83/7.75
% 47.83/7.75 git: date: 2023-05-31 18:12:56 +0000
% 47.83/7.75 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 47.83/7.75 git: non_committed_changes: false
% 47.83/7.75 git: last_make_outside_of_git: false
% 47.83/7.75
% 47.83/7.75 ------ Parsing...
% 47.83/7.75 ------ Clausification by vclausify_rel & Parsing by iProver...
% 47.83/7.75
% 47.83/7.75 ------ Preprocessing... sf_s rm: 30 0s sf_e pe_s pe:1:0s pe:2:0s
% 47.83/7.75
% 47.83/7.75 % SZS status Theorem for theBenchmark.p
% 47.83/7.75
% 47.83/7.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 47.83/7.75
% 47.83/7.75
%------------------------------------------------------------------------------