TSTP Solution File: SET064+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET064+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 15:06:05 EDT 2023
% Result : Theorem 3.10s 1.19s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 46 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 43 ( 16 ~; 7 |; 16 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 25 ( 1 sgn; 14 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X0] :
( null_class != X0
=> ? [X2] :
( disjoint(X2,X0)
& member(X2,X0)
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity) ).
fof(f44,conjecture,
! [X4] :
( ? [X1] : member(X1,X4)
| null_class = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_unique) ).
fof(f45,negated_conjecture,
~ ! [X4] :
( ? [X1] : member(X1,X4)
| null_class = X4 ),
inference(negated_conjecture,[],[f44]) ).
fof(f67,plain,
! [X0] :
( null_class != X0
=> ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) ) ),
inference(rectify,[],[f41]) ).
fof(f70,plain,
~ ! [X0] :
( ? [X1] : member(X1,X0)
| null_class = X0 ),
inference(rectify,[],[f45]) ).
fof(f82,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
| null_class = X0 ),
inference(ennf_transformation,[],[f67]) ).
fof(f85,plain,
? [X0] :
( ! [X1] : ~ member(X1,X0)
& null_class != X0 ),
inference(ennf_transformation,[],[f70]) ).
fof(f130,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
=> ( disjoint(sK4(X0),X0)
& member(sK4(X0),X0)
& member(sK4(X0),universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0] :
( ( disjoint(sK4(X0),X0)
& member(sK4(X0),X0)
& member(sK4(X0),universal_class) )
| null_class = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f82,f130]) ).
fof(f134,plain,
( ? [X0] :
( ! [X1] : ~ member(X1,X0)
& null_class != X0 )
=> ( ! [X1] : ~ member(X1,sK6)
& null_class != sK6 ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ! [X1] : ~ member(X1,sK6)
& null_class != sK6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f85,f134]) ).
fof(f218,plain,
! [X0] :
( member(sK4(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f223,plain,
null_class != sK6,
inference(cnf_transformation,[],[f135]) ).
fof(f224,plain,
! [X1] : ~ member(X1,sK6),
inference(cnf_transformation,[],[f135]) ).
cnf(c_124,plain,
( X0 = null_class
| member(sK4(X0),X0) ),
inference(cnf_transformation,[],[f218]) ).
cnf(c_128,negated_conjecture,
~ member(X0,sK6),
inference(cnf_transformation,[],[f224]) ).
cnf(c_129,negated_conjecture,
null_class != sK6,
inference(cnf_transformation,[],[f223]) ).
cnf(c_2436,plain,
null_class = sK6,
inference(superposition,[status(thm)],[c_124,c_128]) ).
cnf(c_2438,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2436,c_129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET064+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 12:24:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.10/1.19 % SZS status Started for theBenchmark.p
% 3.10/1.19 % SZS status Theorem for theBenchmark.p
% 3.10/1.19
% 3.10/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.10/1.19
% 3.10/1.19 ------ iProver source info
% 3.10/1.19
% 3.10/1.19 git: date: 2023-05-31 18:12:56 +0000
% 3.10/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.10/1.19 git: non_committed_changes: false
% 3.10/1.19 git: last_make_outside_of_git: false
% 3.10/1.19
% 3.10/1.19 ------ Parsing...
% 3.10/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.10/1.19
% 3.10/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 3.10/1.19
% 3.10/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.10/1.19
% 3.10/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.10/1.19 ------ Proving...
% 3.10/1.19 ------ Problem Properties
% 3.10/1.19
% 3.10/1.19
% 3.10/1.19 clauses 76
% 3.10/1.19 conjectures 2
% 3.10/1.19 EPR 9
% 3.10/1.19 Horn 68
% 3.10/1.19 unary 16
% 3.10/1.19 binary 39
% 3.10/1.19 lits 158
% 3.10/1.19 lits eq 15
% 3.10/1.19 fd_pure 0
% 3.10/1.19 fd_pseudo 0
% 3.10/1.19 fd_cond 4
% 3.10/1.19 fd_pseudo_cond 3
% 3.10/1.19 AC symbols 0
% 3.10/1.19
% 3.10/1.19 ------ Schedule dynamic 5 is on
% 3.10/1.19
% 3.10/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.10/1.19
% 3.10/1.19
% 3.10/1.19 ------
% 3.10/1.19 Current options:
% 3.10/1.19 ------
% 3.10/1.19
% 3.10/1.19
% 3.10/1.19
% 3.10/1.19
% 3.10/1.19 ------ Proving...
% 3.10/1.19
% 3.10/1.19
% 3.10/1.19 % SZS status Theorem for theBenchmark.p
% 3.10/1.19
% 3.10/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.10/1.19
% 3.10/1.19
%------------------------------------------------------------------------------