TSTP Solution File: SEU161+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU161+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 17:04:14 EDT 2023
% Result : Theorem 3.55s 1.17s
% Output : CNFRefutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 32 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 5 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn; 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(f76,conjecture,
! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_zfmisc_1) ).
fof(f77,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
inference(negated_conjecture,[],[f76]) ).
fof(f83,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f107,plain,
! [X0,X1] :
( set_union2(singleton(X0),X1) = X1
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f128,plain,
? [X0,X1] :
( set_union2(singleton(X0),X1) != X1
& in(X0,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f213,plain,
( ? [X0,X1] :
( set_union2(singleton(X0),X1) != X1
& in(X0,X1) )
=> ( sK21 != set_union2(singleton(sK20),sK21)
& in(sK20,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f214,plain,
( sK21 != set_union2(singleton(sK20),sK21)
& in(sK20,sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f128,f213]) ).
fof(f289,plain,
! [X0,X1] :
( set_union2(singleton(X0),X1) = X1
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f343,plain,
in(sK20,sK21),
inference(cnf_transformation,[],[f214]) ).
fof(f344,plain,
sK21 != set_union2(singleton(sK20),sK21),
inference(cnf_transformation,[],[f214]) ).
fof(f351,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f83]) ).
fof(f383,plain,
! [X0,X1] :
( set_union2(unordered_pair(X0,X0),X1) = X1
| ~ in(X0,X1) ),
inference(definition_unfolding,[],[f289,f351]) ).
fof(f408,plain,
sK21 != set_union2(unordered_pair(sK20,sK20),sK21),
inference(definition_unfolding,[],[f344,f351]) ).
cnf(c_119,plain,
( ~ in(X0,X1)
| set_union2(unordered_pair(X0,X0),X1) = X1 ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_173,negated_conjecture,
set_union2(unordered_pair(sK20,sK20),sK21) != sK21,
inference(cnf_transformation,[],[f408]) ).
cnf(c_174,negated_conjecture,
in(sK20,sK21),
inference(cnf_transformation,[],[f343]) ).
cnf(c_6332,plain,
( ~ in(sK20,sK21)
| set_union2(unordered_pair(sK20,sK20),sK21) = sK21 ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_6333,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6332,c_173,c_174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU161+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 20:07:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.55/1.17 % SZS status Started for theBenchmark.p
% 3.55/1.17 % SZS status Theorem for theBenchmark.p
% 3.55/1.17
% 3.55/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.55/1.17
% 3.55/1.17 ------ iProver source info
% 3.55/1.17
% 3.55/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.55/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.55/1.17 git: non_committed_changes: false
% 3.55/1.17 git: last_make_outside_of_git: false
% 3.55/1.17
% 3.55/1.17 ------ Parsing...
% 3.55/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.55/1.17
% 3.55/1.17 ------ Preprocessing... sup_sim: 6 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
% 3.55/1.17
% 3.55/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.55/1.17
% 3.55/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.55/1.17 ------ Proving...
% 3.55/1.17 ------ Problem Properties
% 3.55/1.17
% 3.55/1.17
% 3.55/1.17 clauses 123
% 3.55/1.17 conjectures 1
% 3.55/1.17 EPR 22
% 3.55/1.17 Horn 95
% 3.55/1.17 unary 26
% 3.55/1.17 binary 53
% 3.55/1.17 lits 271
% 3.55/1.17 lits eq 79
% 3.55/1.17 fd_pure 0
% 3.55/1.17 fd_pseudo 0
% 3.55/1.17 fd_cond 3
% 3.55/1.17 fd_pseudo_cond 35
% 3.55/1.17 AC symbols 0
% 3.55/1.17
% 3.55/1.17 ------ Schedule dynamic 5 is on
% 3.55/1.17
% 3.55/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.55/1.17
% 3.55/1.17
% 3.55/1.17 ------
% 3.55/1.17 Current options:
% 3.55/1.17 ------
% 3.55/1.17
% 3.55/1.17
% 3.55/1.17
% 3.55/1.17
% 3.55/1.17 ------ Proving...
% 3.55/1.17
% 3.55/1.17
% 3.55/1.17 % SZS status Theorem for theBenchmark.p
% 3.55/1.17
% 3.55/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.55/1.17
% 3.55/1.17
%------------------------------------------------------------------------------