TSTP Solution File: SYO829+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYO829+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 04:41:33 EDT 2023
% Result : Satisfiable 3.45s 1.13s
% Output : Saturation 3.45s
% Verified :
% SZS Type : Derivation
% Derivation depth : 36
% Number of leaves : 2
% Syntax : Number of formulae : 42 ( 36 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 73 ( 51 ~; 13 |; 8 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 34 ( 10 avg)
% Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 57 ( 1 sgn; 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
? [X1] :
( ! [X2] :
( f(X2,X1)
| ~ f(X2,X0)
| ! [X3] : ~ f(X3,X2) )
& ~ f(X1,X0)
& f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( f(X2,X1)
| ~ f(X2,X0)
| ! [X3] : ~ f(X3,X2) )
& ~ f(X1,X0)
& f(X0,X1) )
=> ( ! [X2] :
( f(X2,sK0(X0))
| ~ f(X2,X0)
| ! [X3] : ~ f(X3,X2) )
& ~ f(sK0(X0),X0)
& f(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
! [X0] :
( ! [X2] :
( f(X2,sK0(X0))
| ~ f(X2,X0)
| ! [X3] : ~ f(X3,X2) )
& ~ f(sK0(X0),X0)
& f(X0,sK0(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f2]) ).
fof(f4,plain,
! [X0] : f(X0,sK0(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
! [X0] : ~ f(sK0(X0),X0),
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
! [X2,X3,X0] :
( f(X2,sK0(X0))
| ~ f(X2,X0)
| ~ f(X3,X2) ),
inference(cnf_transformation,[],[f3]) ).
cnf(c_49,plain,
( ~ f(X0,X1)
| ~ f(X2,X0)
| f(X0,sK0(X1)) ),
inference(cnf_transformation,[],[f6]) ).
cnf(c_50,plain,
~ f(sK0(X0),X0),
inference(cnf_transformation,[],[f5]) ).
cnf(c_51,plain,
f(X0,sK0(X0)),
inference(cnf_transformation,[],[f4]) ).
cnf(c_107,plain,
( ~ f(sK0(X0),X1)
| f(sK0(X0),sK0(X1)) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_139,plain,
~ f(sK0(sK0(X0)),X0),
inference(superposition,[status(thm)],[c_107,c_50]) ).
cnf(c_223,plain,
~ f(sK0(sK0(sK0(X0))),X0),
inference(superposition,[status(thm)],[c_107,c_139]) ).
cnf(c_236,plain,
~ f(sK0(sK0(sK0(sK0(X0)))),X0),
inference(superposition,[status(thm)],[c_107,c_223]) ).
cnf(c_275,plain,
~ f(sK0(sK0(sK0(sK0(sK0(X0))))),X0),
inference(superposition,[status(thm)],[c_107,c_236]) ).
cnf(c_331,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))),X0),
inference(superposition,[status(thm)],[c_107,c_275]) ).
cnf(c_383,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))),X0),
inference(superposition,[status(thm)],[c_107,c_331]) ).
cnf(c_386,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))),X0),
inference(superposition,[status(thm)],[c_107,c_383]) ).
cnf(c_389,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_386]) ).
cnf(c_408,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_389]) ).
cnf(c_460,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_408]) ).
cnf(c_501,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_460]) ).
cnf(c_593,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_501]) ).
cnf(c_596,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_593]) ).
cnf(c_664,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_596]) ).
cnf(c_715,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_664]) ).
cnf(c_797,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_715]) ).
cnf(c_847,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_797]) ).
cnf(c_990,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_847]) ).
cnf(c_993,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_990]) ).
cnf(c_995,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_993]) ).
cnf(c_1159,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_995]) ).
cnf(c_1343,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_1159]) ).
cnf(c_1538,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_1343]) ).
cnf(c_1701,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_1538]) ).
cnf(c_1900,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_1701]) ).
cnf(c_2095,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_1900]) ).
cnf(c_2439,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_2095]) ).
cnf(c_2559,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_2439]) ).
cnf(c_2905,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_2559]) ).
cnf(c_3171,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_2905]) ).
cnf(c_3473,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_3171]) ).
cnf(c_4257,plain,
~ f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))))))))))))))),X0),
inference(superposition,[status(thm)],[c_107,c_3473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO829+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n016.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 06:29:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.45/1.13 % SZS status Started for theBenchmark.p
% 3.45/1.13 % SZS status Satisfiable for theBenchmark.p
% 3.45/1.13
% 3.45/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.45/1.13
% 3.45/1.13 ------ iProver source info
% 3.45/1.13
% 3.45/1.13 git: date: 2023-05-31 18:12:56 +0000
% 3.45/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.45/1.13 git: non_committed_changes: false
% 3.45/1.13 git: last_make_outside_of_git: false
% 3.45/1.13
% 3.45/1.13 ------ Parsing...
% 3.45/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.45/1.13
% 3.45/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.45/1.13
% 3.45/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.45/1.13 ------ Proving...
% 3.45/1.13 ------ Problem Properties
% 3.45/1.13
% 3.45/1.13
% 3.45/1.13 clauses 3
% 3.45/1.13 conjectures 0
% 3.45/1.13 EPR 0
% 3.45/1.13 Horn 3
% 3.45/1.13 unary 2
% 3.45/1.13 binary 0
% 3.45/1.13 lits 5
% 3.45/1.13 lits eq 0
% 3.45/1.13 fd_pure 0
% 3.45/1.13 fd_pseudo 0
% 3.45/1.13 fd_cond 0
% 3.45/1.13 fd_pseudo_cond 0
% 3.45/1.13 AC symbols 0
% 3.45/1.13
% 3.45/1.13 ------ Schedule dynamic 5 is on
% 3.45/1.13
% 3.45/1.13 ------ no conjectures: strip conj schedule
% 3.45/1.13
% 3.45/1.13 ------ no equalities: superposition off
% 3.45/1.13
% 3.45/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.45/1.13
% 3.45/1.13
% 3.45/1.13 ------
% 3.45/1.13 Current options:
% 3.45/1.13 ------
% 3.45/1.13
% 3.45/1.13
% 3.45/1.13
% 3.45/1.13
% 3.45/1.13 ------ Proving...
% 3.45/1.13
% 3.45/1.13
% 3.45/1.13 % SZS status Satisfiable for theBenchmark.p
% 3.45/1.13
% 3.45/1.13 % SZS output start Saturation for theBenchmark.p
% See solution above
% 3.45/1.13
% 3.45/1.14
%------------------------------------------------------------------------------