TSTP Solution File: SEU158+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU158+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 17:04:12 EDT 2023
% Result : Theorem 0.77s 1.19s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 4 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 63 ( 28 ~; 25 |; 5 &)
% ( 3 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 28 ( 0 sgn; 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,conjecture,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(f6,negated_conjecture,
~ ! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
inference(negated_conjecture,[],[f5]) ).
fof(f7,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f10,plain,
? [X0,X1] :
( subset(singleton(X0),X1)
<~> in(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f15,plain,
? [X0,X1] :
( ( ~ in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( in(X0,X1)
| subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f16,plain,
( ? [X0,X1] :
( ( ~ in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( in(X0,X1)
| subset(singleton(X0),X1) ) )
=> ( ( ~ in(sK2,sK3)
| ~ subset(singleton(sK2),sK3) )
& ( in(sK2,sK3)
| subset(singleton(sK2),sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ( ~ in(sK2,sK3)
| ~ subset(singleton(sK2),sK3) )
& ( in(sK2,sK3)
| subset(singleton(sK2),sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f15,f16]) ).
fof(f18,plain,
! [X0,X1] :
( ( subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f23,plain,
( in(sK2,sK3)
| subset(singleton(sK2),sK3) ),
inference(cnf_transformation,[],[f17]) ).
fof(f24,plain,
( ~ in(sK2,sK3)
| ~ subset(singleton(sK2),sK3) ),
inference(cnf_transformation,[],[f17]) ).
fof(f25,plain,
! [X0,X1] :
( in(X0,X1)
| ~ subset(singleton(X0),X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f26,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_53,negated_conjecture,
( ~ subset(singleton(sK2),sK3)
| ~ in(sK2,sK3) ),
inference(cnf_transformation,[],[f24]) ).
cnf(c_54,negated_conjecture,
( subset(singleton(sK2),sK3)
| in(sK2,sK3) ),
inference(cnf_transformation,[],[f23]) ).
cnf(c_55,plain,
( ~ in(X0,X1)
| subset(singleton(X0),X1) ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_56,plain,
( ~ subset(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
cnf(c_61,plain,
( ~ in(sK2,sK3)
| ~ subset(singleton(sK2),sK3) ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
cnf(c_62,plain,
( ~ subset(singleton(sK2),sK3)
| ~ in(sK2,sK3) ),
inference(renaming,[status(thm)],[c_61]) ).
cnf(c_63,plain,
( in(sK2,sK3)
| subset(singleton(sK2),sK3) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
cnf(c_64,plain,
( subset(singleton(sK2),sK3)
| in(sK2,sK3) ),
inference(renaming,[status(thm)],[c_63]) ).
cnf(c_65,plain,
( in(X0,X1)
| ~ subset(singleton(X0),X1) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
cnf(c_66,plain,
( ~ subset(singleton(X0),X1)
| in(X0,X1) ),
inference(renaming,[status(thm)],[c_65]) ).
cnf(c_67,plain,
( ~ in(X0,X1)
| subset(singleton(X0),X1) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
cnf(c_97,plain,
in(sK2,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_64,c_66]) ).
cnf(c_101,plain,
~ subset(singleton(sK2),sK3),
inference(backward_subsumption_resolution,[status(thm)],[c_62,c_97]) ).
cnf(c_122,plain,
~ in(sK2,sK3),
inference(resolution,[status(thm)],[c_101,c_67]) ).
cnf(c_123,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_122,c_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU158+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 14:50:19 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.77/1.19 % SZS status Started for theBenchmark.p
% 0.77/1.19 % SZS status Theorem for theBenchmark.p
% 0.77/1.19
% 0.77/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.77/1.19
% 0.77/1.19 ------ iProver source info
% 0.77/1.19
% 0.77/1.19 git: date: 2023-05-31 18:12:56 +0000
% 0.77/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.77/1.19 git: non_committed_changes: false
% 0.77/1.19 git: last_make_outside_of_git: false
% 0.77/1.19
% 0.77/1.19 ------ Parsing...
% 0.77/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.77/1.19
% 0.77/1.19 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s
% 0.77/1.19
% 0.77/1.19 % SZS status Theorem for theBenchmark.p
% 0.77/1.19
% 0.77/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.77/1.19
% 0.77/1.19
%------------------------------------------------------------------------------