%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ035-2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.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 02:31:56 PM UTC 2026
% Result : Unsatisfiable 4.20s 1.09s
% Output : Proof 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 80 ( 13 unt; 0 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 170 ( 66 ~; 104 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 51 ( 27 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,axiom,
( isa(X,knave)
| isa(X,knight)
| ~ person(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).
fof(f0_nnf,plain,
! [X] :
( isa(X,knave)
| isa(X,knight)
| ~ person(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( isa(X,knave)
| isa(X,knight)
| ~ person(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( isa(X0,knave)
| isa(X0,knight)
| ~ person(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(f14,axiom,
person(other),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',other_person) ).
fof(f14_nnf,plain,
person(other),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
person(other),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(p17,plain,
( isa(other,knave)
| isa(other,knight) ),
inference(resolution,[status(thm)],[c0,c14]) ).
cnf(f13,axiom,
person(asked),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',asked_person) ).
fof(f13_nnf,plain,
person(asked),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
person(asked),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(p16,plain,
( isa(asked,knave)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[c0,c13]) ).
cnf(f12,axiom,
( response(no)
| response(yes) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_answers) ).
fof(f12_nnf,plain,
( response(no)
| response(yes) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
( response(no)
| response(yes) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( response(no)
| response(yes) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(f15,negated_conjecture,
( ~ isa(other,Y)
| ~ isa(asked,X)
| ~ response(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_answer) ).
fof(f15_nnf,plain,
! [A,X,Y] :
( ~ isa(other,Y)
| ~ isa(asked,X)
| ~ response(A) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [A,X,Y] :
( ~ isa(other,Y)
| ~ isa(asked,X)
| ~ response(A) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( ~ isa(other,X2)
| ~ isa(asked,X1)
| ~ response(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p18,plain,
( ~ isa(other,X1)
| ~ isa(asked,X0)
| response(yes) ),
inference(resolution,[status(thm)],[c12,c15]) ).
cnf(p19,plain,
( ~ isa(other,X0)
| response(yes)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[p16,p18]) ).
cnf(p25,plain,
( response(yes)
| isa(asked,knight)
| isa(other,knight) ),
inference(resolution,[status(thm)],[p17,p19]) ).
cnf(p31,plain,
( response(yes)
| isa(asked,knight)
| response(yes)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[p25,p19]) ).
cnf(p64,plain,
( response(yes)
| response(yes)
| isa(asked,knight) ),
inference(factoring,[status(thm)],[p31]) ).
cnf(p74,plain,
( response(yes)
| isa(asked,knight) ),
inference(factoring,[status(thm)],[p64]) ).
cnf(p75,plain,
( ~ isa(other,X0)
| response(yes)
| response(yes) ),
inference(resolution,[status(thm)],[p74,p18]) ).
cnf(p83,plain,
( ~ isa(other,X0)
| response(yes) ),
inference(factoring,[status(thm)],[p75]) ).
cnf(p86,plain,
( isa(other,knight)
| response(yes) ),
inference(resolution,[status(thm)],[p83,p17]) ).
cnf(p87,plain,
( response(yes)
| response(yes) ),
inference(resolution,[status(thm)],[p86,p83]) ).
cnf(p88,plain,
response(yes),
inference(factoring,[status(thm)],[p87]) ).
cnf(f8,axiom,
( ~ isa(Anyone,knight)
| ~ lies(asked)
| ~ response(yes) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knight_answers1) ).
fof(f8_nnf,plain,
! [Anyone] :
( ~ isa(Anyone,knight)
| ~ lies(asked)
| ~ response(yes) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [Anyone] :
( ~ isa(Anyone,knight)
| ~ lies(asked)
| ~ response(yes) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ~ isa(X0,knight)
| ~ lies(asked)
| ~ response(yes) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p92,plain,
( ~ isa(X0,knight)
| ~ lies(asked) ),
inference(resolution,[status(thm)],[p88,c8]) ).
cnf(f3,axiom,
( lies(X)
| ~ isa(X,knave) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knaves_make_false_statements) ).
fof(f3_nnf,plain,
! [X] :
( lies(X)
| ~ isa(X,knave) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( lies(X)
| ~ isa(X,knave) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( lies(X0)
| ~ isa(X0,knave) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p20,plain,
( lies(asked)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[p16,c3]) ).
cnf(p21,plain,
( ~ isa(other,X0)
| response(yes)
| lies(asked) ),
inference(resolution,[status(thm)],[p20,p18]) ).
cnf(p26,plain,
( response(yes)
| lies(asked)
| isa(other,knight) ),
inference(resolution,[status(thm)],[p17,p21]) ).
cnf(p28,plain,
( response(yes)
| lies(asked)
| response(yes)
| lies(asked) ),
inference(resolution,[status(thm)],[p26,p21]) ).
cnf(p36,plain,
( response(yes)
| response(yes)
| lies(asked) ),
inference(factoring,[status(thm)],[p28]) ).
cnf(p38,plain,
( response(yes)
| lies(asked) ),
inference(factoring,[status(thm)],[p36]) ).
cnf(p39,plain,
( ~ isa(other,X1)
| ~ isa(asked,X0)
| lies(asked) ),
inference(resolution,[status(thm)],[p38,c15]) ).
cnf(p41,plain,
( lies(asked)
| ~ isa(other,X0)
| lies(asked) ),
inference(resolution,[status(thm)],[p39,p20]) ).
cnf(p42,plain,
( ~ isa(other,X0)
| lies(asked) ),
inference(factoring,[status(thm)],[p41]) ).
cnf(p43,plain,
( isa(other,knight)
| lies(asked) ),
inference(resolution,[status(thm)],[p42,p17]) ).
cnf(p45,plain,
( lies(asked)
| lies(asked) ),
inference(resolution,[status(thm)],[p43,p42]) ).
cnf(p46,plain,
lies(asked),
inference(factoring,[status(thm)],[p45]) ).
cnf(p93,plain,
~ isa(X0,knight),
inference(resolution,[status(thm)],[p92,p46]) ).
cnf(p24,plain,
( lies(other)
| isa(other,knight) ),
inference(resolution,[status(thm)],[p17,c3]) ).
cnf(p94,plain,
lies(other),
inference(resolution,[status(thm)],[p93,p24]) ).
cnf(f2,axiom,
( tell_the_truth(X)
| ~ isa(X,knight) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_make_true_statements) ).
fof(f2_nnf,plain,
! [X] :
( tell_the_truth(X)
| ~ isa(X,knight) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( tell_the_truth(X)
| ~ isa(X,knight) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( tell_the_truth(X0)
| ~ isa(X0,knight) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p30,plain,
( tell_the_truth(other)
| response(yes)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[p25,c2]) ).
cnf(p32,plain,
( ~ isa(other,X0)
| response(yes)
| tell_the_truth(other)
| response(yes) ),
inference(resolution,[status(thm)],[p30,p18]) ).
cnf(p47,plain,
( ~ isa(other,X0)
| tell_the_truth(other)
| response(yes) ),
inference(factoring,[status(thm)],[p32]) ).
cnf(p48,plain,
( isa(other,knight)
| tell_the_truth(other)
| response(yes) ),
inference(resolution,[status(thm)],[p47,p17]) ).
cnf(p49,plain,
( tell_the_truth(other)
| tell_the_truth(other)
| response(yes) ),
inference(resolution,[status(thm)],[p48,c2]) ).
cnf(p50,plain,
( tell_the_truth(other)
| response(yes) ),
inference(factoring,[status(thm)],[p49]) ).
cnf(p51,plain,
( ~ isa(other,X1)
| ~ isa(asked,X0)
| tell_the_truth(other) ),
inference(resolution,[status(thm)],[p50,c15]) ).
cnf(p55,plain,
( isa(asked,knight)
| ~ isa(other,X0)
| tell_the_truth(other) ),
inference(resolution,[status(thm)],[p51,p16]) ).
cnf(p56,plain,
( isa(other,knight)
| isa(asked,knight)
| tell_the_truth(other) ),
inference(resolution,[status(thm)],[p55,p17]) ).
cnf(p63,plain,
( tell_the_truth(other)
| isa(asked,knight)
| tell_the_truth(other) ),
inference(resolution,[status(thm)],[p56,c2]) ).
cnf(p66,plain,
( isa(asked,knight)
| tell_the_truth(other) ),
inference(factoring,[status(thm)],[p63]) ).
cnf(p53,plain,
( ~ isa(X0,knight)
| ~ lies(asked)
| tell_the_truth(other) ),
inference(resolution,[status(thm)],[p50,c8]) ).
cnf(p54,plain,
( ~ isa(X0,knight)
| tell_the_truth(other) ),
inference(resolution,[status(thm)],[p53,p46]) ).
cnf(p69,plain,
( tell_the_truth(other)
| tell_the_truth(other) ),
inference(resolution,[status(thm)],[p66,p54]) ).
cnf(p71,plain,
tell_the_truth(other),
inference(factoring,[status(thm)],[p69]) ).
cnf(f4,axiom,
( ~ lies(X)
| ~ tell_the_truth(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statements_are_true_or_false) ).
fof(f4_nnf,plain,
! [X] :
( ~ lies(X)
| ~ tell_the_truth(X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( ~ lies(X)
| ~ tell_the_truth(X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ lies(X0)
| ~ tell_the_truth(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p73,plain,
~ lies(other),
inference(resolution,[status(thm)],[p71,c4]) ).
cnf(p95,plain,
$false,
inference(resolution,[status(thm)],[p94,p73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ035-2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 06:45:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.20/1.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.20/1.09 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------