TSTP Solution File: MGT053+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : MGT053+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 : Thu Aug 31 09:14:49 EDT 2023
% Result : Theorem 1.73s 1.14s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 41 ( 1 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 180 ( 72 ~; 82 |; 15 &)
% ( 8 <=>; 1 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 67 ( 2 sgn; 39 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X3,X4] :
( dissimilar(X0,X3,X4)
<=> ( ~ ( is_aligned(X0,X3)
<=> is_aligned(X0,X4) )
& organization(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
fof(f8,conjecture,
! [X0,X5,X6] :
( dissimilar(X0,X5,X6)
<=> dissimilar(X0,X6,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_7) ).
fof(f9,negated_conjecture,
~ ! [X0,X5,X6] :
( dissimilar(X0,X5,X6)
<=> dissimilar(X0,X6,X5) ),
inference(negated_conjecture,[],[f8]) ).
fof(f10,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(rectify,[],[f7]) ).
fof(f11,plain,
~ ! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> dissimilar(X0,X2,X1) ),
inference(rectify,[],[f9]) ).
fof(f17,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f18,plain,
? [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<~> dissimilar(X0,X2,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ( ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ) )
| ~ organization(X0) )
& ( ( ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) )
& organization(X0) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ( ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ) )
| ~ organization(X0) )
& ( ( ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) )
& organization(X0) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
? [X0,X1,X2] :
( ( ~ dissimilar(X0,X2,X1)
| ~ dissimilar(X0,X1,X2) )
& ( dissimilar(X0,X2,X1)
| dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f22,plain,
( ? [X0,X1,X2] :
( ( ~ dissimilar(X0,X2,X1)
| ~ dissimilar(X0,X1,X2) )
& ( dissimilar(X0,X2,X1)
| dissimilar(X0,X1,X2) ) )
=> ( ( ~ dissimilar(sK0,sK2,sK1)
| ~ dissimilar(sK0,sK1,sK2) )
& ( dissimilar(sK0,sK2,sK1)
| dissimilar(sK0,sK1,sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ( ~ dissimilar(sK0,sK2,sK1)
| ~ dissimilar(sK0,sK1,sK2) )
& ( dissimilar(sK0,sK2,sK1)
| dissimilar(sK0,sK1,sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f21,f22]) ).
fof(f28,plain,
! [X2,X0,X1] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f29,plain,
! [X2,X0,X1] :
( is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f31,plain,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f32,plain,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X1)
| ~ is_aligned(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f33,plain,
( dissimilar(sK0,sK2,sK1)
| dissimilar(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f34,plain,
( ~ dissimilar(sK0,sK2,sK1)
| ~ dissimilar(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f23]) ).
cnf(c_53,plain,
( ~ is_aligned(X0,X1)
| ~ organization(X0)
| dissimilar(X0,X2,X1)
| is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f32]) ).
cnf(c_54,plain,
( ~ is_aligned(X0,X1)
| ~ organization(X0)
| dissimilar(X0,X1,X2)
| is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f31]) ).
cnf(c_55,plain,
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_56,plain,
( ~ dissimilar(X0,X1,X2)
| is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_57,plain,
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
inference(cnf_transformation,[],[f28]) ).
cnf(c_58,negated_conjecture,
( ~ dissimilar(sK0,sK2,sK1)
| ~ dissimilar(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_59,negated_conjecture,
( dissimilar(sK0,sK2,sK1)
| dissimilar(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_279,plain,
( ~ dissimilar(sK0,sK2,sK1)
| organization(sK0) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_280,plain,
( ~ dissimilar(sK0,sK2,sK1)
| ~ is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_281,plain,
( ~ dissimilar(sK0,sK2,sK1)
| is_aligned(sK0,sK2)
| is_aligned(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_284,plain,
( ~ dissimilar(sK0,sK1,sK2)
| is_aligned(sK0,sK2)
| is_aligned(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_285,plain,
( ~ dissimilar(sK0,sK1,sK2)
| ~ is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_286,plain,
( ~ dissimilar(sK0,sK1,sK2)
| organization(sK0) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_293,plain,
( ~ is_aligned(sK0,sK2)
| ~ organization(sK0)
| dissimilar(sK0,X0,sK2)
| is_aligned(sK0,X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_295,plain,
( ~ is_aligned(sK0,sK2)
| ~ organization(sK0)
| dissimilar(sK0,sK2,X0)
| is_aligned(sK0,X0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_310,plain,
( ~ is_aligned(sK0,sK2)
| ~ organization(sK0)
| dissimilar(sK0,sK1,sK2)
| is_aligned(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_313,plain,
( ~ is_aligned(sK0,sK1)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0)
| is_aligned(sK0,X0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_314,plain,
( ~ is_aligned(sK0,sK1)
| ~ organization(sK0)
| dissimilar(sK0,X0,sK1)
| is_aligned(sK0,X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_339,plain,
( ~ is_aligned(sK0,sK1)
| ~ organization(sK0)
| dissimilar(sK0,sK1,sK2)
| is_aligned(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_313]) ).
cnf(c_343,plain,
( ~ is_aligned(sK0,sK1)
| ~ organization(sK0)
| dissimilar(sK0,sK2,sK1)
| is_aligned(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_314]) ).
cnf(c_414,plain,
( ~ is_aligned(sK0,sK2)
| ~ organization(sK0)
| dissimilar(sK0,sK2,sK1)
| is_aligned(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_295]) ).
cnf(c_439,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_414,c_343,c_339,c_310,c_284,c_285,c_286,c_281,c_280,c_279,c_58,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT053+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.17/0.34 % Computer : n029.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon Aug 28 06:37:11 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.73/1.14 % SZS status Started for theBenchmark.p
% 1.73/1.14 % SZS status Theorem for theBenchmark.p
% 1.73/1.14
% 1.73/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.73/1.14
% 1.73/1.14 ------ iProver source info
% 1.73/1.14
% 1.73/1.14 git: date: 2023-05-31 18:12:56 +0000
% 1.73/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.73/1.14 git: non_committed_changes: false
% 1.73/1.14 git: last_make_outside_of_git: false
% 1.73/1.14
% 1.73/1.14 ------ Parsing...
% 1.73/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_non_horn_eq
% 1.73/1.14
% 1.73/1.14
% 1.73/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 1.73/1.14
% 1.73/1.14 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_eq
% 1.73/1.14 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e ------ preprocesses with Option_epr_non_horn_eq
% 1.73/1.14
% 1.73/1.14
% 1.73/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.73/1.14 ------ Proving...
% 1.73/1.14 ------ Problem Properties
% 1.73/1.14
% 1.73/1.14
% 1.73/1.14 clauses 10
% 1.73/1.14 conjectures 2
% 1.73/1.14 EPR 10
% 1.73/1.14 Horn 5
% 1.73/1.14 unary 0
% 1.73/1.14 binary 4
% 1.73/1.14 lits 28
% 1.73/1.14 lits eq 1
% 1.73/1.14 fd_pure 0
% 1.73/1.14 fd_pseudo 0
% 1.73/1.14 fd_cond 0
% 1.73/1.14 fd_pseudo_cond 1
% 1.73/1.14 AC symbols 0
% 1.73/1.14
% 1.73/1.14 ------ Schedule EPR non Horn eq is on
% 1.73/1.14
% 1.73/1.14 ------ Option_epr_non_horn_eq Time Limit: Unbounded
% 1.73/1.14
% 1.73/1.14
% 1.73/1.14 ------
% 1.73/1.14 Current options:
% 1.73/1.14 ------
% 1.73/1.14
% 1.73/1.14
% 1.73/1.14
% 1.73/1.14
% 1.73/1.14 ------ Proving...
% 1.73/1.14
% 1.73/1.14
% 1.73/1.14 % SZS status Theorem for theBenchmark.p
% 1.73/1.14
% 1.73/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.73/1.14
% 1.73/1.14
%------------------------------------------------------------------------------