TSTP Solution File: SYN332+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN332+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 : Fri Sep 1 03:06:26 EDT 2023
% Result : Theorem 1.80s 1.17s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 42 ( 5 unt; 0 def)
% Number of atoms : 271 ( 0 equ)
% Maximal formula atoms : 60 ( 6 avg)
% Number of connectives : 332 ( 103 ~; 117 |; 77 &)
% ( 18 <=>; 11 =>; 0 <=; 6 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 87 ( 4 sgn; 30 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0,X1] :
! [X2] :
( ( ( big_f(X1,X0)
& big_f(X0,X1) )
<~> big_f(X0,X2) )
=> ( ( big_f(X0,X2)
<=> big_f(X2,X0) )
=> ( ( big_f(X0,X2)
<=> big_f(X1,X2) )
=> ( ( ( big_f(X1,X0)
=> big_f(X0,X1) )
<=> big_f(X2,X2) )
=> ( ( big_f(X0,X1)
<=> big_f(X1,X0) )
<=> big_f(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_14_4) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
! [X2] :
( ( ( big_f(X1,X0)
& big_f(X0,X1) )
<~> big_f(X0,X2) )
=> ( ( big_f(X0,X2)
<=> big_f(X2,X0) )
=> ( ( big_f(X0,X2)
<=> big_f(X1,X2) )
=> ( ( ( big_f(X1,X0)
=> big_f(X0,X1) )
<=> big_f(X2,X2) )
=> ( ( big_f(X0,X1)
<=> big_f(X1,X0) )
<=> big_f(X2,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
! [X0,X1] :
? [X2] :
( ( ( big_f(X0,X1)
<=> big_f(X1,X0) )
<~> big_f(X2,X1) )
& ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
<=> big_f(X2,X2) )
& ( big_f(X0,X2)
<=> big_f(X1,X2) )
& ( big_f(X0,X2)
<=> big_f(X2,X0) )
& ( ( big_f(X1,X0)
& big_f(X0,X1) )
<~> big_f(X0,X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0,X1] :
? [X2] :
( ( ( big_f(X0,X1)
<=> big_f(X1,X0) )
<~> big_f(X2,X1) )
& ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
<=> big_f(X2,X2) )
& ( big_f(X0,X2)
<=> big_f(X1,X2) )
& ( big_f(X0,X2)
<=> big_f(X2,X0) )
& ( ( big_f(X1,X0)
& big_f(X0,X1) )
<~> big_f(X0,X2) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X0,X1] :
? [X2] :
( ( ~ big_f(X2,X1)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(X2,X1)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) )
& ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( big_f(X0,X2)
| ~ big_f(X2,X0) )
& ( big_f(X2,X0)
| ~ big_f(X0,X2) )
& ( ~ big_f(X0,X2)
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,X2)
| ( big_f(X1,X0)
& big_f(X0,X1) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
? [X2] :
( ( ~ big_f(X2,X1)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(X2,X1)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) )
& ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( big_f(X0,X2)
| ~ big_f(X2,X0) )
& ( big_f(X2,X0)
| ~ big_f(X0,X2) )
& ( ~ big_f(X0,X2)
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,X2)
| ( big_f(X1,X0)
& big_f(X0,X1) ) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ big_f(X2,X1)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(X2,X1)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) )
& ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( big_f(X0,X2)
| ~ big_f(X2,X0) )
& ( big_f(X2,X0)
| ~ big_f(X0,X2) )
& ( ~ big_f(X0,X2)
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,X2)
| ( big_f(X1,X0)
& big_f(X0,X1) ) ) )
=> ( ( ~ big_f(sK0(X0,X1),X1)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(sK0(X0,X1),X1)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(sK0(X0,X1),sK0(X0,X1)) )
& ( big_f(sK0(X0,X1),sK0(X0,X1))
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) )
& ( big_f(X0,sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) )
& ( big_f(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) )
& ( big_f(X0,sK0(X0,X1))
| ~ big_f(sK0(X0,X1),X0) )
& ( big_f(sK0(X0,X1),X0)
| ~ big_f(X0,sK0(X0,X1)) )
& ( ~ big_f(X0,sK0(X0,X1))
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,sK0(X0,X1))
| ( big_f(X1,X0)
& big_f(X0,X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X0,X1] :
( ( ~ big_f(sK0(X0,X1),X1)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(sK0(X0,X1),X1)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(sK0(X0,X1),sK0(X0,X1)) )
& ( big_f(sK0(X0,X1),sK0(X0,X1))
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) )
& ( big_f(X0,sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) )
& ( big_f(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) )
& ( big_f(X0,sK0(X0,X1))
| ~ big_f(sK0(X0,X1),X0) )
& ( big_f(sK0(X0,X1),X0)
| ~ big_f(X0,sK0(X0,X1)) )
& ( ~ big_f(X0,sK0(X0,X1))
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,sK0(X0,X1))
| ( big_f(X1,X0)
& big_f(X0,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
fof(f9,plain,
! [X0,X1] :
( big_f(X0,sK0(X0,X1))
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( big_f(X0,sK0(X0,X1))
| big_f(X1,X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f12,plain,
! [X0,X1] :
( big_f(sK0(X0,X1),X0)
| ~ big_f(X0,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f13,plain,
! [X0,X1] :
( big_f(X0,sK0(X0,X1))
| ~ big_f(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f14,plain,
! [X0,X1] :
( big_f(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f18,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(sK0(X0,X1),sK0(X0,X1)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f21,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),X1)
| big_f(X1,X0)
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f22,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),X1)
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
cnf(c_49,negated_conjecture,
( ~ big_f(sK0(X0,X1),X1)
| ~ big_f(X0,X1)
| ~ big_f(X1,X0) ),
inference(cnf_transformation,[],[f22]) ).
cnf(c_50,negated_conjecture,
( ~ big_f(sK0(X0,X1),X1)
| big_f(X0,X1)
| big_f(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
cnf(c_53,negated_conjecture,
( ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X1,X0)
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_57,negated_conjecture,
( ~ big_f(X0,sK0(X0,X1))
| big_f(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f14]) ).
cnf(c_58,negated_conjecture,
( ~ big_f(sK0(X0,X1),X0)
| big_f(X0,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f13]) ).
cnf(c_59,negated_conjecture,
( ~ big_f(X0,sK0(X0,X1))
| big_f(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f12]) ).
cnf(c_61,negated_conjecture,
( big_f(X0,sK0(X0,X1))
| big_f(X1,X0) ),
inference(cnf_transformation,[],[f10]) ).
cnf(c_62,negated_conjecture,
( big_f(X0,sK0(X0,X1))
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
cnf(c_77,plain,
( big_f(X1,X0)
| big_f(sK0(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_61,c_59]) ).
cnf(c_78,plain,
( big_f(sK0(X0,X1),X0)
| big_f(X1,X0) ),
inference(renaming,[status(thm)],[c_77]) ).
cnf(c_81,plain,
( big_f(X0,X1)
| big_f(sK0(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_62,c_59]) ).
cnf(c_82,plain,
( big_f(sK0(X0,X1),X0)
| big_f(X0,X1) ),
inference(renaming,[status(thm)],[c_81]) ).
cnf(c_87,plain,
( big_f(X1,sK0(X0,X1))
| ~ big_f(sK0(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_58,c_57]) ).
cnf(c_88,plain,
( ~ big_f(sK0(X0,X1),X0)
| big_f(X1,sK0(X0,X1)) ),
inference(renaming,[status(thm)],[c_87]) ).
cnf(c_485,plain,
big_f(X0,X0),
inference(superposition,[status(thm)],[c_78,c_50]) ).
cnf(c_494,plain,
big_f(X0,X0),
inference(superposition,[status(thm)],[c_78,c_50]) ).
cnf(c_528,plain,
( ~ big_f(X0,X1)
| big_f(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_485]) ).
cnf(c_531,plain,
( ~ big_f(X0,X1)
| big_f(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_494]) ).
cnf(c_538,plain,
( ~ big_f(sK0(X0,X1),X1)
| big_f(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_528]) ).
cnf(c_551,plain,
( ~ big_f(sK0(X0,X1),X1)
| ~ big_f(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_531]) ).
cnf(c_640,plain,
( big_f(X0,sK0(X1,X0))
| big_f(X1,X0) ),
inference(superposition,[status(thm)],[c_82,c_88]) ).
cnf(c_650,plain,
( big_f(X0,sK0(X1,X0))
| big_f(X1,X0) ),
inference(superposition,[status(thm)],[c_82,c_88]) ).
cnf(c_660,plain,
( big_f(sK0(X0,X1),X1)
| big_f(X0,X1) ),
inference(superposition,[status(thm)],[c_640,c_528]) ).
cnf(c_664,plain,
big_f(X1,X0),
inference(global_subsumption_just,[status(thm)],[c_650,c_528,c_538,c_660]) ).
cnf(c_665,plain,
big_f(X0,X1),
inference(renaming,[status(thm)],[c_664]) ).
cnf(c_666,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_551,c_665]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN332+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n012.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 : Sat Aug 26 20:45:26 EDT 2023
% 0.13/0.34 % 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.80/1.17 % SZS status Started for theBenchmark.p
% 1.80/1.17 % SZS status Theorem for theBenchmark.p
% 1.80/1.17
% 1.80/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.80/1.17
% 1.80/1.17 ------ iProver source info
% 1.80/1.17
% 1.80/1.17 git: date: 2023-05-31 18:12:56 +0000
% 1.80/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.80/1.17 git: non_committed_changes: false
% 1.80/1.17 git: last_make_outside_of_git: false
% 1.80/1.17
% 1.80/1.17 ------ Parsing...
% 1.80/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.80/1.17
% 1.80/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 1.80/1.17
% 1.80/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.80/1.17 ------ Proving...
% 1.80/1.17 ------ Problem Properties
% 1.80/1.17
% 1.80/1.17
% 1.80/1.17 clauses 14
% 1.80/1.17 conjectures 11
% 1.80/1.17 EPR 0
% 1.80/1.17 Horn 8
% 1.80/1.17 unary 0
% 1.80/1.17 binary 8
% 1.80/1.17 lits 34
% 1.80/1.17 lits eq 0
% 1.80/1.17 fd_pure 0
% 1.80/1.17 fd_pseudo 0
% 1.80/1.17 fd_cond 0
% 1.80/1.17 fd_pseudo_cond 0
% 1.80/1.17 AC symbols 0
% 1.80/1.17
% 1.80/1.17 ------ Schedule dynamic 5 is on
% 1.80/1.17
% 1.80/1.17 ------ no equalities: superposition off
% 1.80/1.17
% 1.80/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.80/1.17
% 1.80/1.17
% 1.80/1.17 ------
% 1.80/1.17 Current options:
% 1.80/1.17 ------
% 1.80/1.17
% 1.80/1.17
% 1.80/1.17
% 1.80/1.17
% 1.80/1.17 ------ Proving...
% 1.80/1.17
% 1.80/1.17
% 1.80/1.17 % SZS status Theorem for theBenchmark.p
% 1.80/1.17
% 1.80/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.80/1.17
% 1.80/1.17
%------------------------------------------------------------------------------