TSTP Solution File: SET904+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET904+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 : Mon Jun 24 14:36:31 EDT 2024
% Result : Theorem 1.80s 1.15s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 33 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 4 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f9,conjecture,
! [X0,X1] :
( subset(set_union2(singleton(X0),X1),X1)
=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_zfmisc_1) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] :
( subset(set_union2(singleton(X0),X1),X1)
=> in(X0,X1) ),
inference(negated_conjecture,[],[f9]) ).
fof(f11,axiom,
! [X0,X1] :
( subset(set_union2(singleton(X0),X1),X1)
=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l21_zfmisc_1) ).
fof(f17,plain,
? [X0,X1] :
( ~ in(X0,X1)
& subset(set_union2(singleton(X0),X1),X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f18,plain,
! [X0,X1] :
( in(X0,X1)
| ~ subset(set_union2(singleton(X0),X1),X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f23,plain,
( ? [X0,X1] :
( ~ in(X0,X1)
& subset(set_union2(singleton(X0),X1),X1) )
=> ( ~ in(sK2,sK3)
& subset(set_union2(singleton(sK2),sK3),sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
( ~ in(sK2,sK3)
& subset(set_union2(singleton(sK2),sK3),sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f17,f23]) ).
fof(f27,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
subset(set_union2(singleton(sK2),sK3),sK3),
inference(cnf_transformation,[],[f24]) ).
fof(f34,plain,
~ in(sK2,sK3),
inference(cnf_transformation,[],[f24]) ).
fof(f35,plain,
! [X0,X1] :
( in(X0,X1)
| ~ subset(set_union2(singleton(X0),X1),X1) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_51,plain,
set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f27]) ).
cnf(c_57,negated_conjecture,
~ in(sK2,sK3),
inference(cnf_transformation,[],[f34]) ).
cnf(c_58,negated_conjecture,
subset(set_union2(singleton(sK2),sK3),sK3),
inference(cnf_transformation,[],[f33]) ).
cnf(c_59,plain,
( ~ subset(set_union2(singleton(X0),X1),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_106,plain,
subset(set_union2(sK3,singleton(sK2)),sK3),
inference(demodulation,[status(thm)],[c_58,c_51]) ).
cnf(c_141,negated_conjecture,
~ in(sK2,sK3),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_315,plain,
( ~ subset(set_union2(X0,singleton(X1)),X0)
| in(X1,X0) ),
inference(superposition,[status(thm)],[c_51,c_59]) ).
cnf(c_329,plain,
in(sK2,sK3),
inference(superposition,[status(thm)],[c_106,c_315]) ).
cnf(c_333,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_329,c_141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET904+1 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 13:43:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.80/1.15 % SZS status Started for theBenchmark.p
% 1.80/1.15 % SZS status Theorem for theBenchmark.p
% 1.80/1.15
% 1.80/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.80/1.15
% 1.80/1.15 ------ iProver source info
% 1.80/1.15
% 1.80/1.15 git: date: 2024-06-12 09:56:46 +0000
% 1.80/1.15 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.80/1.15 git: non_committed_changes: false
% 1.80/1.15
% 1.80/1.15 ------ Parsing...
% 1.80/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.80/1.15
% 1.80/1.15 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e
% 1.80/1.15
% 1.80/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.80/1.15
% 1.80/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.80/1.15 ------ Proving...
% 1.80/1.15 ------ Problem Properties
% 1.80/1.15
% 1.80/1.15
% 1.80/1.15 clauses 11
% 1.80/1.15 conjectures 1
% 1.80/1.15 EPR 5
% 1.80/1.15 Horn 11
% 1.80/1.15 unary 7
% 1.80/1.15 binary 4
% 1.80/1.15 lits 15
% 1.80/1.15 lits eq 2
% 1.80/1.15 fd_pure 0
% 1.80/1.15 fd_pseudo 0
% 1.80/1.15 fd_cond 0
% 1.80/1.15 fd_pseudo_cond 0
% 1.80/1.15 AC symbols 0
% 1.80/1.15
% 1.80/1.15 ------ Schedule dynamic 5 is on
% 1.80/1.15
% 1.80/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.80/1.15
% 1.80/1.15
% 1.80/1.15 ------
% 1.80/1.15 Current options:
% 1.80/1.15 ------
% 1.80/1.15
% 1.80/1.15
% 1.80/1.15
% 1.80/1.15
% 1.80/1.15 ------ Proving...
% 1.80/1.15
% 1.80/1.15
% 1.80/1.15 % SZS status Theorem for theBenchmark.p
% 1.80/1.15
% 1.80/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.80/1.15
% 1.80/1.15
%------------------------------------------------------------------------------