TSTP Solution File: SET194+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET194+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 15:07:05 EDT 2023
% Result : Theorem 1.80s 1.14s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 30 ~; 24 |; 12 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 2 sgn; 37 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f6,conjecture,
! [X0,X1] : subset(X0,union(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subset_of_union) ).
fof(f7,negated_conjecture,
~ ! [X0,X1] : subset(X0,union(X0,X1)),
inference(negated_conjecture,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
? [X0,X1] : ~ subset(X0,union(X0,X1)),
inference(ennf_transformation,[],[f7]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f13,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f13,f14]) ).
fof(f20,plain,
( ? [X0,X1] : ~ subset(X0,union(X0,X1))
=> ~ subset(sK2,union(sK2,sK3)) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
~ subset(sK2,union(sK2,sK3)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f9,f20]) ).
fof(f23,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f26,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f27,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
~ subset(sK2,union(sK2,sK3)),
inference(cnf_transformation,[],[f21]) ).
cnf(c_50,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f23]) ).
cnf(c_52,plain,
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
cnf(c_53,plain,
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_59,negated_conjecture,
~ subset(sK2,union(sK2,sK3)),
inference(cnf_transformation,[],[f34]) ).
cnf(c_384,plain,
( ~ member(sK0(X0,union(X1,X2)),X1)
| subset(X0,union(X1,X2)) ),
inference(superposition,[status(thm)],[c_50,c_52]) ).
cnf(c_495,plain,
subset(X0,union(X0,X1)),
inference(superposition,[status(thm)],[c_53,c_384]) ).
cnf(c_507,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_59,c_495]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET194+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n020.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 12:24:29 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.80/1.14 % SZS status Started for theBenchmark.p
% 1.80/1.14 % SZS status Theorem for theBenchmark.p
% 1.80/1.14
% 1.80/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.80/1.14
% 1.80/1.14 ------ iProver source info
% 1.80/1.14
% 1.80/1.14 git: date: 2023-05-31 18:12:56 +0000
% 1.80/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.80/1.14 git: non_committed_changes: false
% 1.80/1.14 git: last_make_outside_of_git: false
% 1.80/1.14
% 1.80/1.14 ------ Parsing...
% 1.80/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.80/1.14
% 1.80/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 1.80/1.14
% 1.80/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.80/1.14
% 1.80/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.80/1.14 ------ Proving...
% 1.80/1.14 ------ Problem Properties
% 1.80/1.14
% 1.80/1.14
% 1.80/1.14 clauses 11
% 1.80/1.14 conjectures 1
% 1.80/1.14 EPR 2
% 1.80/1.14 Horn 8
% 1.80/1.14 unary 3
% 1.80/1.14 binary 4
% 1.80/1.14 lits 23
% 1.80/1.14 lits eq 3
% 1.80/1.14 fd_pure 0
% 1.80/1.14 fd_pseudo 0
% 1.80/1.14 fd_cond 0
% 1.80/1.14 fd_pseudo_cond 2
% 1.80/1.14 AC symbols 0
% 1.80/1.14
% 1.80/1.14 ------ Schedule dynamic 5 is on
% 1.80/1.14
% 1.80/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.80/1.14
% 1.80/1.14
% 1.80/1.14 ------
% 1.80/1.14 Current options:
% 1.80/1.14 ------
% 1.80/1.14
% 1.80/1.14
% 1.80/1.14
% 1.80/1.14
% 1.80/1.14 ------ Proving...
% 1.80/1.14
% 1.80/1.14
% 1.80/1.14 % SZS status Theorem for theBenchmark.p
% 1.80/1.14
% 1.80/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.80/1.14
% 1.80/1.14
%------------------------------------------------------------------------------