%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ047+1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.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 : Tue May 5 05:02:46 PM UTC 2026
% Result : Theorem 0.27s 1.61s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_1)
% Comments :
%------------------------------------------------------------------------------
fof(thm100,conjecture,
( ( p(south,south,south,south,start)
& ! [X1] :
( p(south,north,south,north,X1)
=> p(north,north,south,north,go_alone(X1)) )
& ! [X2] :
( p(north,north,south,north,X2)
=> p(south,north,south,north,go_alone(X2)) )
& ! [X3] :
( p(south,south,north,south,X3)
=> p(north,south,north,south,go_alone(X3)) )
& ! [X4] :
( p(north,south,north,south,X4)
=> p(south,south,north,south,go_alone(X4)) )
& ! [X5] :
( p(south,south,south,north,X5)
=> p(north,north,south,north,take_wolf(X5)) )
& ! [X6] :
( p(north,north,south,north,X6)
=> p(south,south,south,north,take_wolf(X6)) )
& ! [X7] :
( p(south,south,north,south,X7)
=> p(north,north,north,south,take_wolf(X7)) )
& ! [X8] :
( p(north,north,north,south,X8)
=> p(south,south,north,south,take_wolf(X8)) )
& ! [X9,X10,X11] :
( p(south,X9,south,X10,X11)
=> p(north,X9,north,X10,take_goat(X11)) )
& ! [X12,X13,X14] :
( p(north,X12,north,X13,X14)
=> p(south,X12,south,X13,take_goat(X14)) )
& ! [X15] :
( p(south,north,south,south,X15)
=> p(north,north,south,north,take_cabbage(X15)) )
& ! [X16] :
( p(north,north,south,north,X16)
=> p(south,north,south,south,take_cabbage(X16)) )
& ! [X17] :
( p(south,south,north,south,X17)
=> p(north,south,north,north,take_cabbage(X17)) )
& ! [X18] :
( p(north,south,north,north,X18)
=> p(south,south,north,south,take_cabbage(X18)) ) )
=> ? [X19] : p(north,north,north,north,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm100) ).
fof(i_0_1,plain,
( epred1_0
<=> ( p(south,south,south,south,start)
& ! [X1] :
( p(south,north,south,north,X1)
=> p(north,north,south,north,go_alone(X1)) )
& ! [X2] :
( p(north,north,south,north,X2)
=> p(south,north,south,north,go_alone(X2)) )
& ! [X3] :
( p(south,south,north,south,X3)
=> p(north,south,north,south,go_alone(X3)) )
& ! [X4] :
( p(north,south,north,south,X4)
=> p(south,south,north,south,go_alone(X4)) )
& ! [X5] :
( p(south,south,south,north,X5)
=> p(north,north,south,north,take_wolf(X5)) )
& ! [X6] :
( p(north,north,south,north,X6)
=> p(south,south,south,north,take_wolf(X6)) )
& ! [X7] :
( p(south,south,north,south,X7)
=> p(north,north,north,south,take_wolf(X7)) )
& ! [X8] :
( p(north,north,north,south,X8)
=> p(south,south,north,south,take_wolf(X8)) )
& ! [X9,X10,X11] :
( p(south,X9,south,X10,X11)
=> p(north,X9,north,X10,take_goat(X11)) )
& ! [X12,X13,X14] :
( p(north,X12,north,X13,X14)
=> p(south,X12,south,X13,take_goat(X14)) )
& ! [X15] :
( p(south,north,south,south,X15)
=> p(north,north,south,north,take_cabbage(X15)) )
& ! [X16] :
( p(north,north,south,north,X16)
=> p(south,north,south,south,take_cabbage(X16)) )
& ! [X17] :
( p(south,south,north,south,X17)
=> p(north,south,north,north,take_cabbage(X17)) )
& ! [X18] :
( p(north,south,north,north,X18)
=> p(south,south,north,south,take_cabbage(X18)) ) ) ),
introduced(definition) ).
fof(i_0_2,plain,
( epred1_0
=> ( p(south,south,south,south,start)
& ! [X1] :
( p(south,north,south,north,X1)
=> p(north,north,south,north,go_alone(X1)) )
& ! [X2] :
( p(north,north,south,north,X2)
=> p(south,north,south,north,go_alone(X2)) )
& ! [X3] :
( p(south,south,north,south,X3)
=> p(north,south,north,south,go_alone(X3)) )
& ! [X4] :
( p(north,south,north,south,X4)
=> p(south,south,north,south,go_alone(X4)) )
& ! [X5] :
( p(south,south,south,north,X5)
=> p(north,north,south,north,take_wolf(X5)) )
& ! [X6] :
( p(north,north,south,north,X6)
=> p(south,south,south,north,take_wolf(X6)) )
& ! [X7] :
( p(south,south,north,south,X7)
=> p(north,north,north,south,take_wolf(X7)) )
& ! [X8] :
( p(north,north,north,south,X8)
=> p(south,south,north,south,take_wolf(X8)) )
& ! [X9,X10,X11] :
( p(south,X9,south,X10,X11)
=> p(north,X9,north,X10,take_goat(X11)) )
& ! [X12,X13,X14] :
( p(north,X12,north,X13,X14)
=> p(south,X12,south,X13,take_goat(X14)) )
& ! [X15] :
( p(south,north,south,south,X15)
=> p(north,north,south,north,take_cabbage(X15)) )
& ! [X16] :
( p(north,north,south,north,X16)
=> p(south,north,south,south,take_cabbage(X16)) )
& ! [X17] :
( p(south,south,north,south,X17)
=> p(north,south,north,north,take_cabbage(X17)) )
& ! [X18] :
( p(north,south,north,north,X18)
=> p(south,south,north,south,take_cabbage(X18)) ) ) ),
inference(split_equiv,[status(thm)],[i_0_1]) ).
fof(i_0_3,negated_conjecture,
~ ( epred1_0
=> ? [X19] : p(north,north,north,north,X19) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm100]),c_0_1]) ).
fof(i_0_4,plain,
! [X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57] :
( ( p(south,south,south,south,start)
| ~ epred1_0 )
& ( ~ p(south,north,south,north,X40)
| p(north,north,south,north,go_alone(X40))
| ~ epred1_0 )
& ( ~ p(north,north,south,north,X41)
| p(south,north,south,north,go_alone(X41))
| ~ epred1_0 )
& ( ~ p(south,south,north,south,X42)
| p(north,south,north,south,go_alone(X42))
| ~ epred1_0 )
& ( ~ p(north,south,north,south,X43)
| p(south,south,north,south,go_alone(X43))
| ~ epred1_0 )
& ( ~ p(south,south,south,north,X44)
| p(north,north,south,north,take_wolf(X44))
| ~ epred1_0 )
& ( ~ p(north,north,south,north,X45)
| p(south,south,south,north,take_wolf(X45))
| ~ epred1_0 )
& ( ~ p(south,south,north,south,X46)
| p(north,north,north,south,take_wolf(X46))
| ~ epred1_0 )
& ( ~ p(north,north,north,south,X47)
| p(south,south,north,south,take_wolf(X47))
| ~ epred1_0 )
& ( ~ p(south,X48,south,X49,X50)
| p(north,X48,north,X49,take_goat(X50))
| ~ epred1_0 )
& ( ~ p(north,X51,north,X52,X53)
| p(south,X51,south,X52,take_goat(X53))
| ~ epred1_0 )
& ( ~ p(south,north,south,south,X54)
| p(north,north,south,north,take_cabbage(X54))
| ~ epred1_0 )
& ( ~ p(north,north,south,north,X55)
| p(south,north,south,south,take_cabbage(X55))
| ~ epred1_0 )
& ( ~ p(south,south,north,south,X56)
| p(north,south,north,north,take_cabbage(X56))
| ~ epred1_0 )
& ( ~ p(north,south,north,north,X57)
| p(south,south,north,south,take_cabbage(X57))
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_2])])])]) ).
fof(i_0_5,negated_conjecture,
! [X39] :
( epred1_0
& ~ p(north,north,north,north,X39) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_3])])]) ).
cnf(i_0_6,plain,
( p(north,X1,north,X2,take_goat(X3))
| ~ p(south,X1,south,X2,X3)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_7,plain,
( p(south,X1,south,X2,take_goat(X3))
| ~ p(north,X1,north,X2,X3)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_8,plain,
( p(north,north,north,south,take_wolf(X1))
| ~ p(south,south,north,south,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_9,plain,
( p(north,north,south,north,take_cabbage(X1))
| ~ p(south,north,south,south,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_10,plain,
( p(north,north,south,north,take_wolf(X1))
| ~ p(south,south,south,north,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_11,plain,
( p(north,north,south,north,go_alone(X1))
| ~ p(south,north,south,north,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_12,plain,
( p(north,south,north,north,take_cabbage(X1))
| ~ p(south,south,north,south,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_13,plain,
( p(north,south,north,south,go_alone(X1))
| ~ p(south,south,north,south,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_14,plain,
( p(south,north,south,north,go_alone(X1))
| ~ p(north,north,south,north,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_15,plain,
( p(south,north,south,south,take_cabbage(X1))
| ~ p(north,north,south,north,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_16,plain,
( p(south,south,north,south,take_cabbage(X1))
| ~ p(north,south,north,north,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_17,plain,
( p(south,south,north,south,take_wolf(X1))
| ~ p(north,north,north,south,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_18,plain,
( p(south,south,north,south,go_alone(X1))
| ~ p(north,south,north,south,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_19,plain,
( p(south,south,south,north,take_wolf(X1))
| ~ p(north,north,south,north,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_20,negated_conjecture,
~ p(north,north,north,north,X1),
inference(split_conjunct,[status(thm)],[i_0_5]),
[final] ).
cnf(i_0_21,plain,
( p(south,south,south,south,start)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_22,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[i_0_5]),
[final] ).
cnf(i_0_23,plain,
( ~ p(south,X1,south,X2,X3)
| p(north,X1,north,X2,take_goat(X3)) ),
inference(scs_inference,[],[i_0_22,i_0_6]) ).
cnf(i_0_24,plain,
( ~ p(north,X1,north,X2,X3)
| p(south,X1,south,X2,take_goat(X3)) ),
inference(scs_inference,[],[i_0_22,i_0_7]) ).
cnf(i_0_25,plain,
( ~ p(south,south,north,south,X1)
| p(north,north,north,south,take_wolf(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_8]) ).
cnf(i_0_26,plain,
( ~ p(south,north,south,south,X1)
| p(north,north,south,north,take_cabbage(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_9]) ).
cnf(i_0_27,plain,
( ~ p(south,south,south,north,X1)
| p(north,north,south,north,take_wolf(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_10]) ).
cnf(i_0_28,plain,
( ~ p(south,north,south,north,X1)
| p(north,north,south,north,go_alone(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_11]) ).
cnf(i_0_29,plain,
( ~ p(south,south,north,south,X1)
| p(north,south,north,north,take_cabbage(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_12]) ).
cnf(i_0_30,plain,
( ~ p(south,south,north,south,X1)
| p(north,south,north,south,go_alone(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_13]) ).
cnf(i_0_31,plain,
( ~ p(north,north,south,north,X1)
| p(south,north,south,north,go_alone(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_14]) ).
cnf(i_0_32,plain,
( ~ p(north,north,south,north,X1)
| p(south,north,south,south,take_cabbage(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_15]) ).
cnf(i_0_33,plain,
( ~ p(north,south,north,north,X1)
| p(south,south,north,south,take_cabbage(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_16]) ).
cnf(i_0_34,plain,
( ~ p(north,north,north,south,X1)
| p(south,south,north,south,take_wolf(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_17]) ).
cnf(i_0_35,plain,
( ~ p(north,south,north,south,X1)
| p(south,south,north,south,go_alone(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_18]) ).
cnf(i_0_36,plain,
( ~ p(north,north,south,north,X1)
| p(south,south,south,north,take_wolf(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_19]) ).
cnf(i_0_37,plain,
p(south,south,south,south,start),
inference(scs_inference,[],[i_0_22,i_0_21]) ).
cnf(i_0_38,plain,
~ p(south,north,south,north,X1),
inference(scs_inference,[],[i_0_20,i_0_23]) ).
cnf(i_0_39,plain,
~ p(north,north,north,north,X1),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_40,plain,
( p(north,X1,north,X2,take_goat(X3))
| ~ p(south,X1,south,X2,X3) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_41,plain,
~ p(north,north,south,north,X1),
inference(scs_inference,[],[i_0_20,i_0_23,i_0_31]) ).
cnf(i_0_42,plain,
~ p(south,north,south,south,X1),
inference(scs_inference,[],[i_0_20,i_0_23,i_0_31,i_0_26]) ).
cnf(i_0_43,plain,
~ p(north,north,north,south,X1),
inference(scs_inference,[],[i_0_20,i_0_23,i_0_31,i_0_26,i_0_24]) ).
cnf(i_0_44,plain,
( p(south,X1,south,X2,take_goat(X3))
| ~ p(north,X1,north,X2,X3) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_45,plain,
~ p(south,south,north,south,X1),
inference(scs_inference,[],[i_0_20,i_0_23,i_0_31,i_0_26,i_0_24,i_0_25]) ).
cnf(i_0_46,plain,
~ p(north,south,north,north,X1),
inference(scs_inference,[],[i_0_20,i_0_23,i_0_31,i_0_26,i_0_24,i_0_25,i_0_33]) ).
cnf(i_0_47,plain,
~ p(south,south,south,north,X1),
inference(scs_inference,[],[i_0_41,i_0_27]) ).
cnf(i_0_48,plain,
~ p(north,north,south,north,X1),
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_49,plain,
~ p(north,south,north,south,X1),
inference(scs_inference,[],[i_0_41,i_0_45,i_0_27,i_0_35]) ).
cnf(i_0_50,plain,
~ p(south,south,north,south,X1),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_51,plain,
$false,
inference(scs_inference,[],[i_0_41,i_0_45,i_0_37,i_0_27,i_0_35,i_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ047+1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n028.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 01:34:01 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.27/1.61 % Version : CSE_E---1.7
% 0.27/1.61 % Problem : theBenchmark.p
% 0.27/1.61 % SZS status Theorem for theBenchmark.p
% 0.27/1.61 % SZS output start CNFRefutation
% See solution above
% 0.27/1.67 % Total time : 1.271s
%------------------------------------------------------------------------------