%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ005+1 : TPTP v9.2.1. Released v2.2.0.
% 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 : 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 : Tue May 5 05:02:04 PM UTC 2026
% Result : Theorem 1.31s 1.75s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 59 ( 8 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 153 ( 67 ~; 55 |; 8 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 60 ( 0 sgn 33 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(unicorn_lies_on_both,axiom,
! [X1] :
( day(X1)
=> ! [X2] :
( day(X2)
=> ( ( unicorn_lies(X1)
& ~ lies_on_one_of(a_unicorn,X1,X2) )
=> unicorn_lies(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_both) ).
fof(unicorn_lies_on_a_day,axiom,
! [X1] :
( unicorn_lies(X1)
=> day(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_a_day) ).
fof(unicorn_lies_thursday,axiom,
! [X1] :
( thursday(X1)
=> unicorn_lies(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_thursday) ).
fof(wednesday_is_a_day,axiom,
! [X1] :
( wednesday(X1)
=> day(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_is_a_day) ).
fof(thursday_follows_wednesday,axiom,
! [X1] :
( thursday(X1)
=> wednesday(yesterday(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
fof(lion_lies_on_neither,axiom,
! [X1] :
( day(X1)
=> ! [X2] :
( day(X2)
=> ( ( ~ lion_lies(X1)
& ~ lies_on_one_of(a_lion,X1,X2) )
=> ~ lion_lies(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_neither) ).
fof(thursday,axiom,
thursday(a_thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday) ).
fof(lion_lies_on_a_day,axiom,
! [X1] :
( lion_lies(X1)
=> day(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_a_day) ).
fof(lion_lies_wednesday,axiom,
! [X1] :
( wednesday(X1)
=> lion_lies(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_wednesday) ).
fof(lion_does_not_lie_thursday,axiom,
! [X1] :
( thursday(X1)
=> ~ lion_lies(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_does_not_lie_thursday) ).
fof(prove_there_are_close_lying_days,conjecture,
? [X1] :
( day(X1)
& lies_on_one_of(a_lion,X1,yesterday(X1))
& lies_on_one_of(a_unicorn,X1,yesterday(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_are_close_lying_days) ).
fof(thursday_is_a_day,axiom,
! [X1] :
( thursday(X1)
=> day(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_is_a_day) ).
fof(unicorn_does_not_lie_wednesday,axiom,
! [X1] :
( wednesday(X1)
=> ~ unicorn_lies(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_does_not_lie_wednesday) ).
fof(c_0_13,plain,
! [X1] :
( day(X1)
=> ! [X2] :
( day(X2)
=> ( ( unicorn_lies(X1)
& ~ lies_on_one_of(a_unicorn,X1,X2) )
=> unicorn_lies(X2) ) ) ),
inference(fof_simplification,[status(thm)],[unicorn_lies_on_both]) ).
fof(c_0_14,plain,
! [X94,X95] :
( ~ day(X94)
| ~ day(X95)
| ~ unicorn_lies(X94)
| lies_on_one_of(a_unicorn,X94,X95)
| unicorn_lies(X95) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_15,plain,
! [X79] :
( ~ unicorn_lies(X79)
| day(X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unicorn_lies_on_a_day])]) ).
fof(c_0_16,plain,
! [X74] :
( ~ thursday(X74)
| unicorn_lies(X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unicorn_lies_thursday])]) ).
fof(c_0_17,plain,
! [X52] :
( ~ wednesday(X52)
| day(X52) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[wednesday_is_a_day])]) ).
fof(c_0_18,plain,
! [X60] :
( ~ thursday(X60)
| wednesday(yesterday(X60)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thursday_follows_wednesday])]) ).
fof(c_0_19,plain,
! [X1] :
( day(X1)
=> ! [X2] :
( day(X2)
=> ( ( ~ lion_lies(X1)
& ~ lies_on_one_of(a_lion,X1,X2) )
=> ~ lion_lies(X2) ) ) ),
inference(fof_simplification,[status(thm)],[lion_lies_on_neither]) ).
cnf(c_0_20,plain,
( lies_on_one_of(a_unicorn,X1,X2)
| unicorn_lies(X2)
| ~ day(X1)
| ~ day(X2)
| ~ unicorn_lies(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( day(X1)
| ~ unicorn_lies(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( unicorn_lies(X1)
| ~ thursday(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
thursday(a_thursday),
inference(split_conjunct,[status(thm)],[thursday]) ).
cnf(c_0_24,plain,
( day(X1)
| ~ wednesday(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( wednesday(yesterday(X1))
| ~ thursday(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_26,plain,
! [X84,X85] :
( ~ day(X84)
| ~ day(X85)
| lion_lies(X84)
| lies_on_one_of(a_lion,X84,X85)
| ~ lion_lies(X85) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_27,plain,
! [X78] :
( ~ lion_lies(X78)
| day(X78) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lion_lies_on_a_day])]) ).
fof(c_0_28,plain,
! [X66] :
( ~ wednesday(X66)
| lion_lies(X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lion_lies_wednesday])]) ).
fof(c_0_29,plain,
! [X1] :
( thursday(X1)
=> ~ lion_lies(X1) ),
inference(fof_simplification,[status(thm)],[lion_does_not_lie_thursday]) ).
fof(c_0_30,negated_conjecture,
~ ? [X1] :
( day(X1)
& lies_on_one_of(a_lion,X1,yesterday(X1))
& lies_on_one_of(a_unicorn,X1,yesterday(X1)) ),
inference(assume_negation,[status(cth)],[prove_there_are_close_lying_days]) ).
cnf(c_0_31,plain,
( lies_on_one_of(a_unicorn,X1,X2)
| unicorn_lies(X2)
| ~ unicorn_lies(X1)
| ~ day(X2) ),
inference(csr,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_32,plain,
unicorn_lies(a_thursday),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_33,plain,
( day(yesterday(X1))
| ~ thursday(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_34,plain,
! [X53] :
( ~ thursday(X53)
| day(X53) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thursday_is_a_day])]) ).
cnf(c_0_35,plain,
( lion_lies(X1)
| lies_on_one_of(a_lion,X1,X2)
| ~ day(X1)
| ~ day(X2)
| ~ lion_lies(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( day(X1)
| ~ lion_lies(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( lion_lies(X1)
| ~ wednesday(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_38,plain,
! [X67] :
( ~ thursday(X67)
| ~ lion_lies(X67) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
fof(c_0_39,plain,
! [X1] :
( wednesday(X1)
=> ~ unicorn_lies(X1) ),
inference(fof_simplification,[status(thm)],[unicorn_does_not_lie_wednesday]) ).
fof(c_0_40,negated_conjecture,
! [X96] :
( ~ day(X96)
| ~ lies_on_one_of(a_lion,X96,yesterday(X96))
| ~ lies_on_one_of(a_unicorn,X96,yesterday(X96)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
cnf(c_0_41,plain,
( lies_on_one_of(a_unicorn,a_thursday,X1)
| unicorn_lies(X1)
| ~ day(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_42,plain,
day(yesterday(a_thursday)),
inference(spm,[status(thm)],[c_0_33,c_0_23]) ).
cnf(c_0_43,plain,
( day(X1)
| ~ thursday(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,plain,
( lies_on_one_of(a_lion,X1,X2)
| lion_lies(X1)
| ~ lion_lies(X2)
| ~ day(X1) ),
inference(csr,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_45,plain,
( lion_lies(yesterday(X1))
| ~ thursday(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_25]) ).
cnf(c_0_46,plain,
( ~ thursday(X1)
| ~ lion_lies(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_47,plain,
! [X73] :
( ~ wednesday(X73)
| ~ unicorn_lies(X73) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
cnf(c_0_48,negated_conjecture,
( ~ day(X1)
| ~ lies_on_one_of(a_lion,X1,yesterday(X1))
| ~ lies_on_one_of(a_unicorn,X1,yesterday(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| unicorn_lies(yesterday(a_thursday)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,plain,
day(a_thursday),
inference(spm,[status(thm)],[c_0_43,c_0_23]) ).
cnf(c_0_51,plain,
( lies_on_one_of(a_lion,X1,yesterday(X2))
| lion_lies(X1)
| ~ day(X1)
| ~ thursday(X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,plain,
~ lion_lies(a_thursday),
inference(spm,[status(thm)],[c_0_46,c_0_23]) ).
cnf(c_0_53,plain,
( ~ wednesday(X1)
| ~ unicorn_lies(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( unicorn_lies(yesterday(a_thursday))
| ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
cnf(c_0_55,plain,
( lies_on_one_of(a_lion,a_thursday,yesterday(X1))
| ~ thursday(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_50]),c_0_52]) ).
cnf(c_0_56,plain,
( ~ unicorn_lies(yesterday(X1))
| ~ thursday(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_25]) ).
cnf(c_0_57,negated_conjecture,
unicorn_lies(yesterday(a_thursday)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_23])]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ005+1 : TPTP v9.2.1. Released v2.2.0.
% 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
% 0.17/0.33 % Computer : n001.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 01:33:33 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 1.31/1.75 % Version : CSE_E---1.7
% 1.31/1.75 % Problem : theBenchmark.p
% 1.31/1.75 % SZS status Theorem for theBenchmark.p
% 1.31/1.75 % SZS output start CNFRefutation
% See solution above
% 1.31/1.75 % Total time : 1.373s
%------------------------------------------------------------------------------