TSTP Solution File: PUZ047+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 May 3 02:54:44 EDT 2024
% Result : Theorem 1.33s 0.98s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 38 ( 14 unt; 0 def)
% Number of atoms : 230 ( 0 equ)
% Maximal formula atoms : 30 ( 6 avg)
% Number of connectives : 267 ( 75 ~; 60 |; 87 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 154 ( 9 sgn 122 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X17] :
( p(north,south,north,north,X17)
=> p(south,south,north,south,take_cabbage(X17)) )
& ! [X16] :
( p(south,south,north,south,X16)
=> p(north,south,north,north,take_cabbage(X16)) )
& ! [X15] :
( p(north,north,south,north,X15)
=> p(south,north,south,south,take_cabbage(X15)) )
& ! [X14] :
( p(south,north,south,south,X14)
=> p(north,north,south,north,take_cabbage(X14)) )
& ! [X11,X12,X13] :
( p(north,X11,north,X12,X13)
=> p(south,X11,south,X12,take_goat(X13)) )
& ! [X8,X9,X10] :
( p(south,X8,south,X9,X10)
=> p(north,X8,north,X9,take_goat(X10)) )
& ! [X7] :
( p(north,north,north,south,X7)
=> p(south,south,north,south,take_wolf(X7)) )
& ! [X6] :
( p(south,south,north,south,X6)
=> p(north,north,north,south,take_wolf(X6)) )
& ! [X5] :
( p(north,north,south,north,X5)
=> p(south,south,south,north,take_wolf(X5)) )
& ! [X4] :
( p(south,south,south,north,X4)
=> p(north,north,south,north,take_wolf(X4)) )
& ! [X3] :
( p(north,south,north,south,X3)
=> p(south,south,north,south,go_alone(X3)) )
& ! [X2] :
( p(south,south,north,south,X2)
=> p(north,south,north,south,go_alone(X2)) )
& ! [X1] :
( p(north,north,south,north,X1)
=> p(south,north,south,north,go_alone(X1)) )
& ! [X0] :
( p(south,north,south,north,X0)
=> p(north,north,south,north,go_alone(X0)) )
& p(south,south,south,south,start) )
=> ? [X18] : p(north,north,north,north,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm100) ).
fof(f2,negated_conjecture,
~ ( ( ! [X17] :
( p(north,south,north,north,X17)
=> p(south,south,north,south,take_cabbage(X17)) )
& ! [X16] :
( p(south,south,north,south,X16)
=> p(north,south,north,north,take_cabbage(X16)) )
& ! [X15] :
( p(north,north,south,north,X15)
=> p(south,north,south,south,take_cabbage(X15)) )
& ! [X14] :
( p(south,north,south,south,X14)
=> p(north,north,south,north,take_cabbage(X14)) )
& ! [X11,X12,X13] :
( p(north,X11,north,X12,X13)
=> p(south,X11,south,X12,take_goat(X13)) )
& ! [X8,X9,X10] :
( p(south,X8,south,X9,X10)
=> p(north,X8,north,X9,take_goat(X10)) )
& ! [X7] :
( p(north,north,north,south,X7)
=> p(south,south,north,south,take_wolf(X7)) )
& ! [X6] :
( p(south,south,north,south,X6)
=> p(north,north,north,south,take_wolf(X6)) )
& ! [X5] :
( p(north,north,south,north,X5)
=> p(south,south,south,north,take_wolf(X5)) )
& ! [X4] :
( p(south,south,south,north,X4)
=> p(north,north,south,north,take_wolf(X4)) )
& ! [X3] :
( p(north,south,north,south,X3)
=> p(south,south,north,south,go_alone(X3)) )
& ! [X2] :
( p(south,south,north,south,X2)
=> p(north,south,north,south,go_alone(X2)) )
& ! [X1] :
( p(north,north,south,north,X1)
=> p(south,north,south,north,go_alone(X1)) )
& ! [X0] :
( p(south,north,south,north,X0)
=> p(north,north,south,north,go_alone(X0)) )
& p(south,south,south,south,start) )
=> ? [X18] : p(north,north,north,north,X18) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
~ ( ( ! [X0] :
( p(north,south,north,north,X0)
=> p(south,south,north,south,take_cabbage(X0)) )
& ! [X1] :
( p(south,south,north,south,X1)
=> p(north,south,north,north,take_cabbage(X1)) )
& ! [X2] :
( p(north,north,south,north,X2)
=> p(south,north,south,south,take_cabbage(X2)) )
& ! [X3] :
( p(south,north,south,south,X3)
=> p(north,north,south,north,take_cabbage(X3)) )
& ! [X4,X5,X6] :
( p(north,X4,north,X5,X6)
=> p(south,X4,south,X5,take_goat(X6)) )
& ! [X7,X8,X9] :
( p(south,X7,south,X8,X9)
=> p(north,X7,north,X8,take_goat(X9)) )
& ! [X10] :
( p(north,north,north,south,X10)
=> p(south,south,north,south,take_wolf(X10)) )
& ! [X11] :
( p(south,south,north,south,X11)
=> p(north,north,north,south,take_wolf(X11)) )
& ! [X12] :
( p(north,north,south,north,X12)
=> p(south,south,south,north,take_wolf(X12)) )
& ! [X13] :
( p(south,south,south,north,X13)
=> p(north,north,south,north,take_wolf(X13)) )
& ! [X14] :
( p(north,south,north,south,X14)
=> p(south,south,north,south,go_alone(X14)) )
& ! [X15] :
( p(south,south,north,south,X15)
=> p(north,south,north,south,go_alone(X15)) )
& ! [X16] :
( p(north,north,south,north,X16)
=> p(south,north,south,north,go_alone(X16)) )
& ! [X17] :
( p(south,north,south,north,X17)
=> p(north,north,south,north,go_alone(X17)) )
& p(south,south,south,south,start) )
=> ? [X18] : p(north,north,north,north,X18) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ! [X18] : ~ p(north,north,north,north,X18)
& ! [X0] :
( p(south,south,north,south,take_cabbage(X0))
| ~ p(north,south,north,north,X0) )
& ! [X1] :
( p(north,south,north,north,take_cabbage(X1))
| ~ p(south,south,north,south,X1) )
& ! [X2] :
( p(south,north,south,south,take_cabbage(X2))
| ~ p(north,north,south,north,X2) )
& ! [X3] :
( p(north,north,south,north,take_cabbage(X3))
| ~ p(south,north,south,south,X3) )
& ! [X4,X5,X6] :
( p(south,X4,south,X5,take_goat(X6))
| ~ p(north,X4,north,X5,X6) )
& ! [X7,X8,X9] :
( p(north,X7,north,X8,take_goat(X9))
| ~ p(south,X7,south,X8,X9) )
& ! [X10] :
( p(south,south,north,south,take_wolf(X10))
| ~ p(north,north,north,south,X10) )
& ! [X11] :
( p(north,north,north,south,take_wolf(X11))
| ~ p(south,south,north,south,X11) )
& ! [X12] :
( p(south,south,south,north,take_wolf(X12))
| ~ p(north,north,south,north,X12) )
& ! [X13] :
( p(north,north,south,north,take_wolf(X13))
| ~ p(south,south,south,north,X13) )
& ! [X14] :
( p(south,south,north,south,go_alone(X14))
| ~ p(north,south,north,south,X14) )
& ! [X15] :
( p(north,south,north,south,go_alone(X15))
| ~ p(south,south,north,south,X15) )
& ! [X16] :
( p(south,north,south,north,go_alone(X16))
| ~ p(north,north,south,north,X16) )
& ! [X17] :
( p(north,north,south,north,go_alone(X17))
| ~ p(south,north,south,north,X17) )
& p(south,south,south,south,start) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ! [X18] : ~ p(north,north,north,north,X18)
& ! [X0] :
( p(south,south,north,south,take_cabbage(X0))
| ~ p(north,south,north,north,X0) )
& ! [X1] :
( p(north,south,north,north,take_cabbage(X1))
| ~ p(south,south,north,south,X1) )
& ! [X2] :
( p(south,north,south,south,take_cabbage(X2))
| ~ p(north,north,south,north,X2) )
& ! [X3] :
( p(north,north,south,north,take_cabbage(X3))
| ~ p(south,north,south,south,X3) )
& ! [X4,X5,X6] :
( p(south,X4,south,X5,take_goat(X6))
| ~ p(north,X4,north,X5,X6) )
& ! [X7,X8,X9] :
( p(north,X7,north,X8,take_goat(X9))
| ~ p(south,X7,south,X8,X9) )
& ! [X10] :
( p(south,south,north,south,take_wolf(X10))
| ~ p(north,north,north,south,X10) )
& ! [X11] :
( p(north,north,north,south,take_wolf(X11))
| ~ p(south,south,north,south,X11) )
& ! [X12] :
( p(south,south,south,north,take_wolf(X12))
| ~ p(north,north,south,north,X12) )
& ! [X13] :
( p(north,north,south,north,take_wolf(X13))
| ~ p(south,south,south,north,X13) )
& ! [X14] :
( p(south,south,north,south,go_alone(X14))
| ~ p(north,south,north,south,X14) )
& ! [X15] :
( p(north,south,north,south,go_alone(X15))
| ~ p(south,south,north,south,X15) )
& ! [X16] :
( p(south,north,south,north,go_alone(X16))
| ~ p(north,north,south,north,X16) )
& ! [X17] :
( p(north,north,south,north,go_alone(X17))
| ~ p(south,north,south,north,X17) )
& p(south,south,south,south,start) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ! [X0] : ~ p(north,north,north,north,X0)
& ! [X1] :
( p(south,south,north,south,take_cabbage(X1))
| ~ p(north,south,north,north,X1) )
& ! [X2] :
( p(north,south,north,north,take_cabbage(X2))
| ~ p(south,south,north,south,X2) )
& ! [X3] :
( p(south,north,south,south,take_cabbage(X3))
| ~ p(north,north,south,north,X3) )
& ! [X4] :
( p(north,north,south,north,take_cabbage(X4))
| ~ p(south,north,south,south,X4) )
& ! [X5,X6,X7] :
( p(south,X5,south,X6,take_goat(X7))
| ~ p(north,X5,north,X6,X7) )
& ! [X8,X9,X10] :
( p(north,X8,north,X9,take_goat(X10))
| ~ p(south,X8,south,X9,X10) )
& ! [X11] :
( p(south,south,north,south,take_wolf(X11))
| ~ p(north,north,north,south,X11) )
& ! [X12] :
( p(north,north,north,south,take_wolf(X12))
| ~ p(south,south,north,south,X12) )
& ! [X13] :
( p(south,south,south,north,take_wolf(X13))
| ~ p(north,north,south,north,X13) )
& ! [X14] :
( p(north,north,south,north,take_wolf(X14))
| ~ p(south,south,south,north,X14) )
& ! [X15] :
( p(south,south,north,south,go_alone(X15))
| ~ p(north,south,north,south,X15) )
& ! [X16] :
( p(north,south,north,south,go_alone(X16))
| ~ p(south,south,north,south,X16) )
& ! [X17] :
( p(south,north,south,north,go_alone(X17))
| ~ p(north,north,south,north,X17) )
& ! [X18] :
( p(north,north,south,north,go_alone(X18))
| ~ p(south,north,south,north,X18) )
& p(south,south,south,south,start) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
p(south,south,south,south,start),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
! [X17] :
( p(south,north,south,north,go_alone(X17))
| ~ p(north,north,south,north,X17) ),
inference(cnf_transformation,[],[f6]) ).
fof(f11,plain,
! [X15] :
( p(south,south,north,south,go_alone(X15))
| ~ p(north,south,north,south,X15) ),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
! [X12] :
( p(north,north,north,south,take_wolf(X12))
| ~ p(south,south,north,south,X12) ),
inference(cnf_transformation,[],[f6]) ).
fof(f16,plain,
! [X10,X8,X9] :
( p(north,X8,north,X9,take_goat(X10))
| ~ p(south,X8,south,X9,X10) ),
inference(cnf_transformation,[],[f6]) ).
fof(f17,plain,
! [X6,X7,X5] :
( p(south,X5,south,X6,take_goat(X7))
| ~ p(north,X5,north,X6,X7) ),
inference(cnf_transformation,[],[f6]) ).
fof(f18,plain,
! [X4] :
( p(north,north,south,north,take_cabbage(X4))
| ~ p(south,north,south,south,X4) ),
inference(cnf_transformation,[],[f6]) ).
fof(f22,plain,
! [X0] : ~ p(north,north,north,north,X0),
inference(cnf_transformation,[],[f6]) ).
cnf(c_49,negated_conjecture,
~ p(north,north,north,north,X0),
inference(cnf_transformation,[],[f22]) ).
cnf(c_53,negated_conjecture,
( ~ p(south,north,south,south,X0)
| p(north,north,south,north,take_cabbage(X0)) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_54,negated_conjecture,
( ~ p(north,X0,north,X1,X2)
| p(south,X0,south,X1,take_goat(X2)) ),
inference(cnf_transformation,[],[f17]) ).
cnf(c_55,negated_conjecture,
( ~ p(south,X0,south,X1,X2)
| p(north,X0,north,X1,take_goat(X2)) ),
inference(cnf_transformation,[],[f16]) ).
cnf(c_57,negated_conjecture,
( ~ p(south,south,north,south,X0)
| p(north,north,north,south,take_wolf(X0)) ),
inference(cnf_transformation,[],[f14]) ).
cnf(c_60,negated_conjecture,
( ~ p(north,south,north,south,X0)
| p(south,south,north,south,go_alone(X0)) ),
inference(cnf_transformation,[],[f11]) ).
cnf(c_62,negated_conjecture,
( ~ p(north,north,south,north,X0)
| p(south,north,south,north,go_alone(X0)) ),
inference(cnf_transformation,[],[f9]) ).
cnf(c_64,negated_conjecture,
p(south,south,south,south,start),
inference(cnf_transformation,[],[f7]) ).
cnf(c_139,negated_conjecture,
p(south,south,south,south,start),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_141,negated_conjecture,
( ~ p(north,north,south,north,X0)
| p(south,north,south,north,go_alone(X0)) ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_143,negated_conjecture,
( ~ p(north,south,north,south,X0)
| p(south,south,north,south,go_alone(X0)) ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_146,negated_conjecture,
( ~ p(south,south,north,south,X0)
| p(north,north,north,south,take_wolf(X0)) ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_148,negated_conjecture,
( ~ p(south,X0,south,X1,X2)
| p(north,X0,north,X1,take_goat(X2)) ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_149,negated_conjecture,
( ~ p(north,X0,north,X1,X2)
| p(south,X0,south,X1,take_goat(X2)) ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_150,negated_conjecture,
( ~ p(south,north,south,south,X0)
| p(north,north,south,north,take_cabbage(X0)) ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_154,negated_conjecture,
~ p(north,north,north,north,X0),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_284,plain,
~ p(south,north,south,north,X0),
inference(superposition,[status(thm)],[c_148,c_154]) ).
cnf(c_285,plain,
~ p(north,north,south,north,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_141,c_284]) ).
cnf(c_315,plain,
~ p(south,north,south,south,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_150,c_285]) ).
cnf(c_321,plain,
~ p(north,north,north,south,X0),
inference(superposition,[status(thm)],[c_149,c_315]) ).
cnf(c_322,plain,
~ p(south,south,north,south,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_146,c_321]) ).
cnf(c_323,plain,
~ p(north,south,north,south,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_143,c_322]) ).
cnf(c_334,plain,
~ p(south,south,south,south,X0),
inference(superposition,[status(thm)],[c_148,c_323]) ).
cnf(c_335,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_139,c_334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.09 % Command : run_iprover %s %d THM
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Thu May 2 21:14:38 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.13/0.35 Running first-order theorem proving
% 0.13/0.35 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.33/0.98 % SZS status Started for theBenchmark.p
% 1.33/0.98 % SZS status Theorem for theBenchmark.p
% 1.33/0.98
% 1.33/0.98 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.33/0.98
% 1.33/0.98 ------ iProver source info
% 1.33/0.98
% 1.33/0.98 git: date: 2024-05-02 19:28:25 +0000
% 1.33/0.98 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.33/0.98 git: non_committed_changes: false
% 1.33/0.98
% 1.33/0.98 ------ Parsing...
% 1.33/0.98 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.33/0.98
% 1.33/0.98 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 1.33/0.98
% 1.33/0.98 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.33/0.98 ------ Proving...
% 1.33/0.98 ------ Problem Properties
% 1.33/0.98
% 1.33/0.98
% 1.33/0.98 clauses 16
% 1.33/0.98 conjectures 16
% 1.33/0.98 EPR 2
% 1.33/0.98 Horn 16
% 1.33/0.98 unary 2
% 1.33/0.98 binary 14
% 1.33/0.98 lits 30
% 1.33/0.98 lits eq 0
% 1.33/0.98 fd_pure 0
% 1.33/0.98 fd_pseudo 0
% 1.33/0.98 fd_cond 0
% 1.33/0.98 fd_pseudo_cond 0
% 1.33/0.98 AC symbols 0
% 1.33/0.98
% 1.33/0.98 ------ Schedule dynamic 5 is on
% 1.33/0.98
% 1.33/0.98 ------ no equalities: superposition off
% 1.33/0.98
% 1.33/0.98 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.33/0.98
% 1.33/0.98
% 1.33/0.98 ------
% 1.33/0.98 Current options:
% 1.33/0.98 ------
% 1.33/0.98
% 1.33/0.98
% 1.33/0.98
% 1.33/0.98
% 1.33/0.98 ------ Proving...
% 1.33/0.98
% 1.33/0.98
% 1.33/0.98 % SZS status Theorem for theBenchmark.p
% 1.33/0.98
% 1.33/0.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.33/0.98
% 1.33/0.98
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