TSTP Solution File: SET604+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 15:08:34 EDT 2023
% Result : Theorem 1.77s 1.18s
% Output : CNFRefutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 23 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 4 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn; 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_subset) ).
fof(f2,axiom,
! [X0,X1] :
( empty_set = difference(X0,X1)
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_empty_set) ).
fof(f9,conjecture,
! [X0] : empty_set = difference(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_no_difference_with_empty_set) ).
fof(f10,negated_conjecture,
~ ! [X0] : empty_set = difference(empty_set,X0),
inference(negated_conjecture,[],[f9]) ).
fof(f12,plain,
? [X0] : empty_set != difference(empty_set,X0),
inference(ennf_transformation,[],[f10]) ).
fof(f13,plain,
! [X0,X1] :
( ( empty_set = difference(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| empty_set != difference(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f22,plain,
( ? [X0] : empty_set != difference(empty_set,X0)
=> empty_set != difference(empty_set,sK1) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
empty_set != difference(empty_set,sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f22]) ).
fof(f24,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f26,plain,
! [X0,X1] :
( empty_set = difference(X0,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f38,plain,
empty_set != difference(empty_set,sK1),
inference(cnf_transformation,[],[f23]) ).
cnf(c_49,plain,
subset(empty_set,X0),
inference(cnf_transformation,[],[f24]) ).
cnf(c_50,plain,
( ~ subset(X0,X1)
| difference(X0,X1) = empty_set ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_63,negated_conjecture,
difference(empty_set,sK1) != empty_set,
inference(cnf_transformation,[],[f38]) ).
cnf(c_635,plain,
difference(empty_set,X0) = empty_set,
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_637,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_635]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n007.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 12:23:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.77/1.18 % SZS status Started for theBenchmark.p
% 1.77/1.18 % SZS status Theorem for theBenchmark.p
% 1.77/1.18
% 1.77/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.77/1.18
% 1.77/1.18 ------ iProver source info
% 1.77/1.18
% 1.77/1.18 git: date: 2023-05-31 18:12:56 +0000
% 1.77/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.77/1.18 git: non_committed_changes: false
% 1.77/1.18 git: last_make_outside_of_git: false
% 1.77/1.18
% 1.77/1.18 ------ Parsing...
% 1.77/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.77/1.18
% 1.77/1.18 ------ 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
% 1.77/1.18
% 1.77/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.77/1.18
% 1.77/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.77/1.18 ------ Proving...
% 1.77/1.18 ------ Problem Properties
% 1.77/1.18
% 1.77/1.18
% 1.77/1.18 clauses 13
% 1.77/1.18 conjectures 1
% 1.77/1.18 EPR 5
% 1.77/1.18 Horn 11
% 1.77/1.18 unary 4
% 1.77/1.18 binary 6
% 1.77/1.18 lits 25
% 1.77/1.18 lits eq 4
% 1.77/1.18 fd_pure 0
% 1.77/1.18 fd_pseudo 0
% 1.77/1.18 fd_cond 0
% 1.77/1.18 fd_pseudo_cond 1
% 1.77/1.18 AC symbols 0
% 1.77/1.18
% 1.77/1.18 ------ Schedule dynamic 5 is on
% 1.77/1.18
% 1.77/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.77/1.18
% 1.77/1.18
% 1.77/1.18 ------
% 1.77/1.18 Current options:
% 1.77/1.18 ------
% 1.77/1.18
% 1.77/1.18
% 1.77/1.18
% 1.77/1.18
% 1.77/1.18 ------ Proving...
% 1.77/1.18
% 1.77/1.18
% 1.77/1.18 % SZS status Theorem for theBenchmark.p
% 1.77/1.18
% 1.77/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.77/1.18
% 1.77/1.18
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