TSTP Solution File: NUN059+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUN059+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 12:49:12 EDT 2023
% Result : Theorem 3.02s 1.16s
% Output : CNFRefutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 78 ( 28 unt; 0 def)
% Number of atoms : 234 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 259 ( 103 ~; 87 |; 63 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 178 ( 4 sgn; 88 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f6,axiom,
! [X14,X15] :
( id(X15,X14)
| ~ id(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X19,X20] :
( ( r1(X20)
& r1(X19) )
| ( ~ r1(X20)
& ~ r1(X19) )
| ~ id(X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,axiom,
! [X25,X26,X27,X28,X29,X30] :
( ( r3(X28,X29,X30)
& r3(X25,X26,X27) )
| ( ~ r3(X28,X29,X30)
& ~ r3(X25,X26,X27) )
| ~ id(X27,X30)
| ~ id(X26,X29)
| ~ id(X25,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f11,axiom,
! [X31,X32,X33,X34,X35,X36] :
( ( r4(X34,X35,X36)
& r4(X31,X32,X33) )
| ( ~ r4(X34,X35,X36)
& ~ r4(X31,X32,X33) )
| ~ id(X33,X36)
| ~ id(X32,X35)
| ~ id(X31,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r3(X53,X55,X54)
& r1(X55) )
& id(X54,X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f16,axiom,
! [X56] :
? [X57] :
( ? [X59] :
( r1(X59)
& id(X57,X59) )
& ? [X58] :
( r4(X56,X58,X57)
& r1(X58) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f19,conjecture,
? [X62,X46,X45,X39] :
( ? [X48] :
( ? [X42] :
( r3(X42,X48,X39)
& r4(X62,X62,X42) )
& r4(X46,X46,X48) )
& ? [X40] :
( r4(X45,X45,X40)
& id(X39,X40) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fermattothepoweroftwoid) ).
fof(f20,negated_conjecture,
~ ? [X62,X46,X45,X39] :
( ? [X48] :
( ? [X42] :
( r3(X42,X48,X39)
& r4(X62,X62,X42) )
& r4(X46,X46,X48) )
& ? [X40] :
( r4(X45,X45,X40)
& id(X39,X40) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f24,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f25,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f27,plain,
! [X0,X1] :
( ( r1(X1)
& r1(X0) )
| ( ~ r1(X1)
& ~ r1(X0) )
| ~ id(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( r3(X3,X4,X5)
& r3(X0,X1,X2) )
| ( ~ r3(X3,X4,X5)
& ~ r3(X0,X1,X2) )
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(rectify,[],[f10]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( r4(X3,X4,X5)
& r4(X0,X1,X2) )
| ( ~ r4(X3,X4,X5)
& ~ r4(X0,X1,X2) )
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(rectify,[],[f11]) ).
fof(f34,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f35,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& id(X1,X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f16]) ).
fof(f38,plain,
~ ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( r3(X5,X4,X3)
& r4(X0,X0,X5) )
& r4(X1,X1,X4) )
& ? [X6] :
( r4(X2,X2,X6)
& id(X3,X6) ) ),
inference(rectify,[],[f20]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( ~ r3(X5,X4,X3)
| ~ r4(X0,X0,X5) )
| ~ r4(X1,X1,X4) )
| ! [X6] :
( ~ r4(X2,X2,X6)
| ~ id(X3,X6) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f40,plain,
( ? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) )
=> ! [X1] :
( ( ~ id(X1,sK0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X1] :
( ( ~ id(X1,sK0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f40]) ).
fof(f58,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) )
=> ( ? [X2] :
( r3(X0,X2,sK12(X0))
& r1(X2) )
& id(sK12(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK12(X0))
& r1(X2) )
=> ( r3(X0,sK13(X0),sK12(X0))
& r1(sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( r3(X0,sK13(X0),sK12(X0))
& r1(sK13(X0))
& id(sK12(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f34,f59,f58]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& id(X1,X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( r1(X2)
& id(sK14(X0),X2) )
& ? [X3] :
( r4(X0,X3,sK14(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& id(sK14(X0),X2) )
=> ( r1(sK15(X0))
& id(sK14(X0),sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK14(X0))
& r1(X3) )
=> ( r4(X0,sK16(X0),sK14(X0))
& r1(sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( r1(sK15(X0))
& id(sK14(X0),sK15(X0))
& r4(X0,sK16(X0),sK14(X0))
& r1(sK16(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f35,f63,f62,f61]) ).
fof(f68,plain,
! [X1] :
( ~ r1(X1)
| id(X1,sK0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f84,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f24]) ).
fof(f85,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f89,plain,
! [X0,X1] :
( r1(X1)
| ~ r1(X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f97,plain,
! [X2,X3,X0,X1,X4,X5] :
( r3(X3,X4,X5)
| ~ r3(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X4,X5] :
( r4(X3,X4,X5)
| ~ r4(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f30]) ).
fof(f114,plain,
! [X0] : id(sK12(X0),X0),
inference(cnf_transformation,[],[f60]) ).
fof(f115,plain,
! [X0] : r1(sK13(X0)),
inference(cnf_transformation,[],[f60]) ).
fof(f116,plain,
! [X0] : r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f60]) ).
fof(f117,plain,
! [X0] : r1(sK16(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f118,plain,
! [X0] : r4(X0,sK16(X0),sK14(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f119,plain,
! [X0] : id(sK14(X0),sK15(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f120,plain,
! [X0] : r1(sK15(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r3(X5,X4,X3)
| ~ r4(X0,X0,X5)
| ~ r4(X1,X1,X4)
| ~ r4(X2,X2,X6)
| ~ id(X3,X6) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_50,plain,
( ~ r1(X0)
| id(X0,sK0) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_57,plain,
id(X0,X0),
inference(cnf_transformation,[],[f84]) ).
cnf(c_58,plain,
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_60,plain,
( ~ id(X0,X1)
| ~ r1(X0)
| r1(X1) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_64,plain,
( ~ r3(X0,X1,X2)
| ~ id(X0,X5)
| ~ id(X1,X3)
| ~ id(X2,X4)
| r3(X5,X3,X4) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_66,plain,
( ~ r4(X0,X1,X2)
| ~ id(X0,X5)
| ~ id(X1,X3)
| ~ id(X2,X4)
| r4(X5,X3,X4) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_79,plain,
r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f116]) ).
cnf(c_80,plain,
r1(sK13(X0)),
inference(cnf_transformation,[],[f115]) ).
cnf(c_81,plain,
id(sK12(X0),X0),
inference(cnf_transformation,[],[f114]) ).
cnf(c_82,plain,
r1(sK15(X0)),
inference(cnf_transformation,[],[f120]) ).
cnf(c_83,plain,
id(sK14(X0),sK15(X0)),
inference(cnf_transformation,[],[f119]) ).
cnf(c_84,plain,
r4(X0,sK16(X0),sK14(X0)),
inference(cnf_transformation,[],[f118]) ).
cnf(c_85,plain,
r1(sK16(X0)),
inference(cnf_transformation,[],[f117]) ).
cnf(c_91,negated_conjecture,
( ~ r3(X0,X1,X2)
| ~ r4(X3,X3,X1)
| ~ r4(X4,X4,X5)
| ~ r4(X6,X6,X0)
| ~ id(X2,X5) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_92,plain,
r1(sK16(sK0)),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_94,plain,
r1(sK13(sK0)),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_95,plain,
id(sK0,sK0),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_96,plain,
id(sK12(sK0),sK0),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_100,plain,
r4(sK0,sK16(sK0),sK14(sK0)),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_101,plain,
r3(sK0,sK13(sK0),sK12(sK0)),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_122,plain,
( ~ r3(sK0,sK0,sK0)
| ~ r4(sK0,sK0,sK0)
| ~ id(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_489,plain,
( ~ r3(X0,sK13(X0),sK12(X0))
| ~ id(sK13(X0),X1)
| ~ id(sK12(X0),X2)
| ~ id(X0,X3)
| r3(X3,X1,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_490,plain,
( ~ r3(sK0,sK13(sK0),sK12(sK0))
| ~ id(sK13(sK0),sK0)
| ~ id(sK12(sK0),sK0)
| ~ id(sK0,sK0)
| r3(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_503,plain,
( ~ r4(X0,sK16(X0),sK14(X0))
| ~ id(sK14(X0),X1)
| ~ id(sK16(X0),X2)
| ~ id(X0,X3)
| r4(X3,X2,X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_504,plain,
( ~ r4(sK0,sK16(sK0),sK14(sK0))
| ~ id(sK14(sK0),sK0)
| ~ id(sK16(sK0),sK0)
| ~ id(sK0,sK0)
| r4(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_503]) ).
cnf(c_849,plain,
( ~ r1(sK13(X0))
| id(sK13(X0),sK0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_850,plain,
( ~ r1(sK13(sK0))
| id(sK13(sK0),sK0) ),
inference(instantiation,[status(thm)],[c_849]) ).
cnf(c_946,plain,
( ~ r1(sK14(X0))
| id(sK14(X0),sK0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_947,plain,
( ~ r1(sK14(sK0))
| id(sK14(sK0),sK0) ),
inference(instantiation,[status(thm)],[c_946]) ).
cnf(c_1052,plain,
id(sK15(X0),sK14(X0)),
inference(superposition,[status(thm)],[c_83,c_58]) ).
cnf(c_2001,plain,
( ~ r1(sK16(X0))
| id(sK16(X0),sK0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2002,plain,
( ~ r1(sK16(sK0))
| id(sK16(sK0),sK0) ),
inference(instantiation,[status(thm)],[c_2001]) ).
cnf(c_2369,plain,
( ~ r1(sK15(X0))
| r1(sK14(X0)) ),
inference(superposition,[status(thm)],[c_1052,c_60]) ).
cnf(c_2378,plain,
r1(sK14(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_2369,c_82]) ).
cnf(c_2402,plain,
r1(sK14(sK0)),
inference(instantiation,[status(thm)],[c_2378]) ).
cnf(c_2403,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2402,c_2002,c_947,c_850,c_504,c_490,c_122,c_101,c_100,c_96,c_95,c_94,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUN059+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 10:09:48 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.02/1.16 % SZS status Started for theBenchmark.p
% 3.02/1.16 % SZS status Theorem for theBenchmark.p
% 3.02/1.16
% 3.02/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.02/1.16
% 3.02/1.16 ------ iProver source info
% 3.02/1.16
% 3.02/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.02/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.02/1.16 git: non_committed_changes: false
% 3.02/1.16 git: last_make_outside_of_git: false
% 3.02/1.16
% 3.02/1.16 ------ Parsing...
% 3.02/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.02/1.16
% 3.02/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.02/1.16
% 3.02/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.02/1.16 ------ Proving...
% 3.02/1.16 ------ Problem Properties
% 3.02/1.16
% 3.02/1.16
% 3.02/1.16 clauses 43
% 3.02/1.16 conjectures 1
% 3.02/1.16 EPR 16
% 3.02/1.16 Horn 39
% 3.02/1.16 unary 18
% 3.02/1.16 binary 13
% 3.02/1.16 lits 93
% 3.02/1.16 lits eq 0
% 3.02/1.16 fd_pure 0
% 3.02/1.16 fd_pseudo 0
% 3.02/1.16 fd_cond 0
% 3.02/1.16 fd_pseudo_cond 0
% 3.02/1.16 AC symbols 0
% 3.02/1.16
% 3.02/1.16 ------ Schedule dynamic 5 is on
% 3.02/1.16
% 3.02/1.16 ------ no equalities: superposition off
% 3.02/1.16
% 3.02/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.02/1.16
% 3.02/1.16
% 3.02/1.16 ------
% 3.02/1.16 Current options:
% 3.02/1.16 ------
% 3.02/1.16
% 3.02/1.16
% 3.02/1.16
% 3.02/1.16
% 3.02/1.16 ------ Proving...
% 3.02/1.16
% 3.02/1.16
% 3.02/1.16 % SZS status Theorem for theBenchmark.p
% 3.02/1.16
% 3.02/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.02/1.16
% 3.02/1.16
%------------------------------------------------------------------------------