TSTP Solution File: SET925+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET925+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 03:02:01 EDT 2024
% Result : Theorem 0.43s 1.11s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 4 unt; 0 def)
% Number of atoms : 60 ( 30 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 60 ( 26 ~; 24 |; 5 &)
% ( 3 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,conjecture,
! [X0,X1] :
( empty_set = set_difference(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_zfmisc_1) ).
fof(f6,negated_conjecture,
~ ! [X0,X1] :
( empty_set = set_difference(singleton(X0),X1)
<=> in(X0,X1) ),
inference(negated_conjecture,[],[f5]) ).
fof(f7,axiom,
! [X0,X1] :
( empty_set = set_difference(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l36_zfmisc_1) ).
fof(f9,plain,
? [X0,X1] :
( empty_set = set_difference(singleton(X0),X1)
<~> in(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f14,plain,
? [X0,X1] :
( ( ~ in(X0,X1)
| empty_set != set_difference(singleton(X0),X1) )
& ( in(X0,X1)
| empty_set = set_difference(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f15,plain,
( ? [X0,X1] :
( ( ~ in(X0,X1)
| empty_set != set_difference(singleton(X0),X1) )
& ( in(X0,X1)
| empty_set = set_difference(singleton(X0),X1) ) )
=> ( ( ~ in(sK2,sK3)
| empty_set != set_difference(singleton(sK2),sK3) )
& ( in(sK2,sK3)
| empty_set = set_difference(singleton(sK2),sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ( ~ in(sK2,sK3)
| empty_set != set_difference(singleton(sK2),sK3) )
& ( in(sK2,sK3)
| empty_set = set_difference(singleton(sK2),sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f14,f15]) ).
fof(f17,plain,
! [X0,X1] :
( ( empty_set = set_difference(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| empty_set != set_difference(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f22,plain,
( in(sK2,sK3)
| empty_set = set_difference(singleton(sK2),sK3) ),
inference(cnf_transformation,[],[f16]) ).
fof(f23,plain,
( ~ in(sK2,sK3)
| empty_set != set_difference(singleton(sK2),sK3) ),
inference(cnf_transformation,[],[f16]) ).
fof(f24,plain,
! [X0,X1] :
( in(X0,X1)
| empty_set != set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f25,plain,
! [X0,X1] :
( empty_set = set_difference(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
cnf(c_53,negated_conjecture,
( set_difference(singleton(sK2),sK3) != empty_set
| ~ in(sK2,sK3) ),
inference(cnf_transformation,[],[f23]) ).
cnf(c_54,negated_conjecture,
( set_difference(singleton(sK2),sK3) = empty_set
| in(sK2,sK3) ),
inference(cnf_transformation,[],[f22]) ).
cnf(c_55,plain,
( ~ in(X0,X1)
| set_difference(singleton(X0),X1) = empty_set ),
inference(cnf_transformation,[],[f25]) ).
cnf(c_56,plain,
( set_difference(singleton(X0),X1) != empty_set
| in(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
cnf(c_59,plain,
( ~ in(sK2,sK3)
| set_difference(singleton(sK2),sK3) != empty_set ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
cnf(c_60,plain,
( set_difference(singleton(sK2),sK3) != empty_set
| ~ in(sK2,sK3) ),
inference(renaming,[status(thm)],[c_59]) ).
cnf(c_61,plain,
( in(sK2,sK3)
| set_difference(singleton(sK2),sK3) = empty_set ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
cnf(c_62,plain,
( set_difference(singleton(sK2),sK3) = empty_set
| in(sK2,sK3) ),
inference(renaming,[status(thm)],[c_61]) ).
cnf(c_63,plain,
( in(X0,X1)
| set_difference(singleton(X0),X1) != empty_set ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
cnf(c_64,plain,
( set_difference(singleton(X0),X1) != empty_set
| in(X0,X1) ),
inference(renaming,[status(thm)],[c_63]) ).
cnf(c_99,plain,
in(sK2,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_62,c_64]) ).
cnf(c_103,plain,
set_difference(singleton(sK2),sK3) != empty_set,
inference(backward_subsumption_resolution,[status(thm)],[c_60,c_99]) ).
cnf(c_340,plain,
set_difference(singleton(sK2),sK3) = empty_set,
inference(superposition,[status(thm)],[c_99,c_55]) ).
cnf(c_341,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_340,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SET925+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n013.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 20:32:19 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.43/1.11 % SZS status Started for theBenchmark.p
% 0.43/1.11 % SZS status Theorem for theBenchmark.p
% 0.43/1.11
% 0.43/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.43/1.11
% 0.43/1.11 ------ iProver source info
% 0.43/1.11
% 0.43/1.11 git: date: 2024-05-02 19:28:25 +0000
% 0.43/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.43/1.11 git: non_committed_changes: false
% 0.43/1.11
% 0.43/1.11 ------ Parsing...
% 0.43/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.43/1.11
% 0.43/1.11 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 0.43/1.11
% 0.43/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.43/1.11
% 0.43/1.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.43/1.11 ------ Proving...
% 0.43/1.11 ------ Problem Properties
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 clauses 8
% 0.43/1.11 conjectures 0
% 0.43/1.11 EPR 5
% 0.43/1.11 Horn 8
% 0.43/1.11 unary 5
% 0.43/1.11 binary 3
% 0.43/1.11 lits 11
% 0.43/1.11 lits eq 3
% 0.43/1.11 fd_pure 0
% 0.43/1.11 fd_pseudo 0
% 0.43/1.11 fd_cond 0
% 0.43/1.11 fd_pseudo_cond 0
% 0.43/1.11 AC symbols 0
% 0.43/1.11
% 0.43/1.11 ------ Schedule dynamic 5 is on
% 0.43/1.11
% 0.43/1.11 ------ no conjectures: strip conj schedule
% 0.43/1.11
% 0.43/1.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 ------
% 0.43/1.11 Current options:
% 0.43/1.11 ------
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 ------ Proving...
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 % SZS status Theorem for theBenchmark.p
% 0.43/1.11
% 0.43/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.11
% 0.43/1.11
%------------------------------------------------------------------------------