TSTP Solution File: SEU123+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU123+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : Thu Aug 31 17:03:51 EDT 2023
% Result : Theorem 2.13s 1.18s
% Output : CNFRefutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 45 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 44 ( 19 ~; 12 |; 9 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 17 ( 1 sgn; 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f17,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f19,conjecture,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
inference(negated_conjecture,[],[f19]) ).
fof(f35,plain,
? [X0] :
( empty_set != X0
& subset(X0,empty_set) ),
inference(ennf_transformation,[],[f20]) ).
fof(f40,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f41,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f40]) ).
fof(f62,plain,
( ? [X0] :
( empty_set != X0
& subset(X0,empty_set) )
=> ( empty_set != sK6
& subset(sK6,empty_set) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( empty_set != sK6
& subset(sK6,empty_set) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f35,f62]) ).
fof(f70,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f91,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f17]) ).
fof(f95,plain,
subset(sK6,empty_set),
inference(cnf_transformation,[],[f63]) ).
fof(f96,plain,
empty_set != sK6,
inference(cnf_transformation,[],[f63]) ).
cnf(c_51,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_74,plain,
subset(empty_set,X0),
inference(cnf_transformation,[],[f91]) ).
cnf(c_78,negated_conjecture,
empty_set != sK6,
inference(cnf_transformation,[],[f96]) ).
cnf(c_79,negated_conjecture,
subset(sK6,empty_set),
inference(cnf_transformation,[],[f95]) ).
cnf(c_1645,plain,
( ~ subset(empty_set,sK6)
| ~ subset(sK6,empty_set)
| empty_set = sK6 ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1719,plain,
subset(empty_set,sK6),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_1720,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1719,c_1645,c_78,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU123+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 17:55:01 EDT 2023
% 0.12/0.34 % 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
% 2.13/1.18 % SZS status Started for theBenchmark.p
% 2.13/1.18 % SZS status Theorem for theBenchmark.p
% 2.13/1.18
% 2.13/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.13/1.18
% 2.13/1.18 ------ iProver source info
% 2.13/1.18
% 2.13/1.18 git: date: 2023-05-31 18:12:56 +0000
% 2.13/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.13/1.18 git: non_committed_changes: false
% 2.13/1.18 git: last_make_outside_of_git: false
% 2.13/1.18
% 2.13/1.18 ------ Parsing...
% 2.13/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.13/1.18
% 2.13/1.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.13/1.18
% 2.13/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.13/1.18
% 2.13/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.13/1.18 ------ Proving...
% 2.13/1.18 ------ Problem Properties
% 2.13/1.18
% 2.13/1.18
% 2.13/1.18 clauses 34
% 2.13/1.18 conjectures 2
% 2.13/1.18 EPR 17
% 2.13/1.18 Horn 27
% 2.13/1.18 unary 10
% 2.13/1.18 binary 15
% 2.13/1.18 lits 68
% 2.13/1.18 lits eq 12
% 2.13/1.18 fd_pure 0
% 2.13/1.18 fd_pseudo 0
% 2.13/1.18 fd_cond 2
% 2.13/1.18 fd_pseudo_cond 5
% 2.13/1.18 AC symbols 0
% 2.13/1.18
% 2.13/1.18 ------ Schedule dynamic 5 is on
% 2.13/1.18
% 2.13/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.13/1.18
% 2.13/1.18
% 2.13/1.18 ------
% 2.13/1.18 Current options:
% 2.13/1.18 ------
% 2.13/1.18
% 2.13/1.18
% 2.13/1.18
% 2.13/1.18
% 2.13/1.18 ------ Proving...
% 2.13/1.18
% 2.13/1.18
% 2.13/1.18 % SZS status Theorem for theBenchmark.p
% 2.13/1.18
% 2.13/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.13/1.18
% 2.13/1.18
%------------------------------------------------------------------------------