%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:32:50 PM UTC 2026
% Result : Theorem 1.74s 1.51s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 37 ( 14 unt; 0 def)
% Number of atoms : 200 ( 0 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 237 ( 74 ~; 60 |; 73 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 135 ( 0 sgn 133 !; 2 ?; 29 :)
% 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/sandbox2/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,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [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(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [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(flattening,[],[f3]) ).
fof(f5,plain,
( ! [X18] :
( ~ p(north,south,north,north,X18)
| p(south,south,north,south,take_cabbage(X18)) )
& ! [X17] :
( ~ p(south,south,north,south,X17)
| p(north,south,north,north,take_cabbage(X17)) )
& ! [X16] :
( ~ p(north,north,south,north,X16)
| p(south,north,south,south,take_cabbage(X16)) )
& ! [X15] :
( ~ p(south,north,south,south,X15)
| p(north,north,south,north,take_cabbage(X15)) )
& ! [X12,X13,X14] :
( ~ p(north,X12,north,X13,X14)
| p(south,X12,south,X13,take_goat(X14)) )
& ! [X9,X10,X11] :
( ~ p(south,X9,south,X10,X11)
| p(north,X9,north,X10,take_goat(X11)) )
& ! [X8] :
( ~ p(north,north,north,south,X8)
| p(south,south,north,south,take_wolf(X8)) )
& ! [X7] :
( ~ p(south,south,north,south,X7)
| p(north,north,north,south,take_wolf(X7)) )
& ! [X6] :
( ~ p(north,north,south,north,X6)
| p(south,south,south,north,take_wolf(X6)) )
& ! [X5] :
( ~ p(south,south,south,north,X5)
| p(north,north,south,north,take_wolf(X5)) )
& ! [X4] :
( ~ p(north,south,north,south,X4)
| p(south,south,north,south,go_alone(X4)) )
& ! [X3] :
( ~ p(south,south,north,south,X3)
| p(north,south,north,south,go_alone(X3)) )
& ! [X2] :
( ~ p(north,north,south,north,X2)
| p(south,north,south,north,go_alone(X2)) )
& ! [X1] :
( ~ p(south,north,south,north,X1)
| p(north,north,south,north,go_alone(X1)) )
& p(south,south,south,south,start)
& ! [X0] : ~ p(north,north,north,north,X0) ),
inference(rectify,[],[f4]) ).
fof(f9,plain,
! [X15] :
( ~ p(south,north,south,south,X15)
| p(north,north,south,north,take_cabbage(X15)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
! [X14,X12,X13] :
( ~ p(north,X12,north,X13,X14)
| p(south,X12,south,X13,take_goat(X14)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
! [X10,X11,X9] :
( ~ p(south,X9,south,X10,X11)
| p(north,X9,north,X10,take_goat(X11)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f13,plain,
! [X7] :
( ~ p(south,south,north,south,X7)
| p(north,north,north,south,take_wolf(X7)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f16,plain,
! [X4] :
( ~ p(north,south,north,south,X4)
| p(south,south,north,south,go_alone(X4)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f18,plain,
! [X2] :
( ~ p(north,north,south,north,X2)
| p(south,north,south,north,go_alone(X2)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f20,plain,
p(south,south,south,south,start),
inference(cnf_transformation,[],[f5]) ).
fof(f21,plain,
! [X0] : ~ p(north,north,north,north,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] : ~ p(north,north,north,north,X0),
inference(cnf_transformation,[],[f21]) ).
tcf(c_50,negated_conjecture,
p(south,south,south,south,start),
inference(cnf_transformation,[],[f20]) ).
tcf(c_52,negated_conjecture,
! [X0: $i] :
( p(south,north,south,north,go_alone(X0))
| ~ p(north,north,south,north,X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_54,negated_conjecture,
! [X0: $i] :
( p(south,south,north,south,go_alone(X0))
| ~ p(north,south,north,south,X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_57,negated_conjecture,
! [X0: $i] :
( p(north,north,north,south,take_wolf(X0))
| ~ p(south,south,north,south,X0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_59,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(north,X0,north,X1,take_goat(X2))
| ~ p(south,X0,south,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_60,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(south,X0,south,X1,take_goat(X2))
| ~ p(north,X0,north,X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_61,negated_conjecture,
! [X0: $i] :
( p(north,north,south,north,take_cabbage(X0))
| ~ p(south,north,south,south,X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_142,negated_conjecture,
! [X0: $i] :
( p(north,north,south,north,take_cabbage(X0))
| ~ p(south,north,south,south,X0) ),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_143,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(south,X0,south,X1,take_goat(X2))
| ~ p(north,X0,north,X1,X2) ),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_144,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(north,X0,north,X1,take_goat(X2))
| ~ p(south,X0,south,X1,X2) ),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_146,negated_conjecture,
! [X0: $i] :
( p(north,north,north,south,take_wolf(X0))
| ~ p(south,south,north,south,X0) ),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_149,negated_conjecture,
! [X0: $i] :
( p(south,south,north,south,go_alone(X0))
| ~ p(north,south,north,south,X0) ),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_151,negated_conjecture,
! [X0: $i] :
( p(south,north,south,north,go_alone(X0))
| ~ p(north,north,south,north,X0) ),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_153,negated_conjecture,
p(south,south,south,south,start),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_154,negated_conjecture,
! [X0: $i] : ~ p(north,north,north,north,X0),
inference(demodulation,[status(thm)],[c_49]) ).
tcf(c_260,plain,
! [X0: $i] : ~ p(south,north,south,north,X0),
inference(superposition,[status(thm)],[c_144,c_154]) ).
tcf(c_317,plain,
! [X0: $i] : ~ p(north,north,south,north,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_151,c_260]) ).
tcf(c_318,plain,
! [X0: $i] : ~ p(south,north,south,south,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_142,c_317]) ).
tcf(c_325,plain,
! [X0: $i] : ~ p(north,north,north,south,X0),
inference(superposition,[status(thm)],[c_143,c_318]) ).
tcf(c_326,plain,
! [X0: $i] : ~ p(south,south,north,south,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_146,c_325]) ).
tcf(c_328,plain,
! [X0: $i] : ~ p(north,south,north,south,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_149,c_326]) ).
tcf(c_343,plain,
! [X0: $i] : ~ p(south,south,south,south,X0),
inference(superposition,[status(thm)],[c_144,c_328]) ).
tcf(c_344,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_153,c_343]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.59 % Computer : n018.cluster.edu
% 0.11/0.59 % Model : x86_64 x86_64
% 0.11/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.59 % Memory : 8046.5625MB
% 0.11/0.59 % OS : Linux 6.8.0-71-generic
% 0.11/0.59 % CPULimit : 300
% 0.11/0.59 % WCLimit : 300
% 0.11/0.59 % DateTime : Thu Sep 24 06:49:49 UTC 2026
% 0.11/0.59 % CPUTime :
% 0.11/0.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.63 Running first-order theorem proving
% 0.16/0.63 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.64
% 0.16/0.64 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.64
% 0.16/0.64 % Detected problem language: tptp
% 0.16/0.65 % Proving...
% 1.74/1.51 % SZS status Started for theBenchmark.p
% 1.74/1.51 % SZS status Theorem for theBenchmark.p
% 1.74/1.51
% 1.74/1.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.74/1.51
% 1.74/1.51 % ------ iProver source info
% 1.74/1.51
% 1.74/1.51 % git: date: 2026-07-19 20:42:38 +0200
% 1.74/1.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.74/1.51 % git: non_committed_changes: false
% 1.74/1.51
% 1.74/1.51 % ------ Parsing...
% 1.74/1.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.74/1.51
% 1.74/1.51 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.74/1.51
% 1.74/1.51 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.74/1.51 % ------ Proving...
% 1.74/1.51 % ------ Problem Properties
% 1.74/1.51
% 1.74/1.51 %
% 1.74/1.51 % clauses 16
% 1.74/1.51 % conjectures 16
% 1.74/1.51 % EPR 2
% 1.74/1.51 % Horn 16
% 1.74/1.51 % unary 2
% 1.74/1.51 % binary 14
% 1.74/1.51 % lits 30
% 1.74/1.51 % lits eq 0
% 1.74/1.51 % fd_pure 0
% 1.74/1.51 % fd_pseudo 0
% 1.74/1.51 % fd_cond 0
% 1.74/1.51 % fd_pseudo_cond 0
% 1.74/1.51 % AC symbols 0
% 1.74/1.51
% 1.74/1.51 % ------ Schedule dynamic 5 is on
% 1.74/1.51
% 1.74/1.51 % ------ no equalities: superposition off
% 1.74/1.51
% 1.74/1.51 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.74/1.51
% 1.74/1.51
% 1.74/1.51 % ------
% 1.74/1.51 % Current options:
% 1.74/1.51 % ------
% 1.74/1.51
% 1.74/1.51
% 1.74/1.51 %
% 1.74/1.51
% 1.74/1.51 % ------ Proving...
% 1.74/1.51 %
% 1.74/1.51
% 1.74/1.51 % SZS status Theorem for theBenchmark.p
% 1.74/1.51
% 1.74/1.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.74/1.51
% 1.74/1.51
%------------------------------------------------------------------------------