%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ012-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.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 02:31:50 PM UTC 2026
% Result : Unsatisfiable 6.28s 1.46s
% Output : Proof 6.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 21 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 37 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f5,axiom,
( equal_fruits(Y,Z)
| ~ contains(X,Z)
| ~ contains(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contains_is_well_defined1) ).
fof(f5_nnf,plain,
! [X,Y,Z] :
( equal_fruits(Y,Z)
| ~ contains(X,Z)
| ~ contains(X,Y) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y,Z] :
( equal_fruits(Y,Z)
| ~ contains(X,Z)
| ~ contains(X,Y) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( equal_fruits(X1,X2)
| ~ contains(X0,X2)
| ~ contains(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(f16,hypothesis,
contains(boxb,apples),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_contains_apples) ).
fof(f16_nnf,plain,
contains(boxb,apples),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
contains(boxb,apples),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(p24,plain,
( equal_fruits(apples,X0)
| ~ contains(boxb,X0) ),
inference(resolution,[status(thm)],[c5,c16]) ).
cnf(f15,hypothesis,
label(boxc,bananas),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxc_labelled_bananas) ).
fof(f15_nnf,plain,
label(boxc,bananas),
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c15,plain,
label(boxc,bananas),
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(f2,axiom,
( ~ contains(X,Y)
| ~ label(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',label_is_wrong) ).
fof(f2_nnf,plain,
! [X,Y] :
( ~ contains(X,Y)
| ~ label(X,Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ~ contains(X,Y)
| ~ label(X,Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ contains(X0,X1)
| ~ label(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p20,plain,
~ contains(boxc,bananas),
inference(resolution,[status(thm)],[c15,c2]) ).
cnf(f3,axiom,
( contains(boxc,X)
| contains(boxb,X)
| contains(boxa,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_thing_is_in_a_box) ).
fof(f3_nnf,plain,
! [X] :
( contains(boxc,X)
| contains(boxb,X)
| contains(boxa,X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( contains(boxc,X)
| contains(boxb,X)
| contains(boxa,X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( contains(boxc,X0)
| contains(boxb,X0)
| contains(boxa,X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p21,plain,
( contains(boxb,bananas)
| contains(boxa,bananas) ),
inference(resolution,[status(thm)],[p20,c3]) ).
cnf(p26,plain,
( contains(boxa,bananas)
| equal_fruits(apples,bananas) ),
inference(resolution,[status(thm)],[p24,p21]) ).
cnf(p28,plain,
( equal_fruits(bananas,X0)
| ~ contains(boxa,X0)
| equal_fruits(apples,bananas) ),
inference(resolution,[status(thm)],[p26,c5]) ).
cnf(f17,negated_conjecture,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_boxa_contains_bananas_and_boxc_oranges) ).
fof(f17_nnf,plain,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p27,plain,
( ~ contains(boxc,oranges)
| equal_fruits(apples,bananas) ),
inference(resolution,[status(thm)],[p26,c17]) ).
cnf(p29,plain,
( contains(boxb,oranges)
| contains(boxa,oranges)
| equal_fruits(apples,bananas) ),
inference(resolution,[status(thm)],[p27,c3]) ).
cnf(f14,hypothesis,
label(boxb,oranges),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_labelled_oranges) ).
fof(f14_nnf,plain,
label(boxb,oranges),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
label(boxb,oranges),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(p19,plain,
~ contains(boxb,oranges),
inference(resolution,[status(thm)],[c14,c2]) ).
cnf(p36,plain,
( contains(boxa,oranges)
| equal_fruits(apples,bananas) ),
inference(resolution,[status(thm)],[p29,p19]) ).
cnf(p64,plain,
( equal_fruits(apples,bananas)
| equal_fruits(bananas,oranges)
| equal_fruits(apples,bananas) ),
inference(resolution,[status(thm)],[p28,p36]) ).
cnf(p69,plain,
( equal_fruits(bananas,oranges)
| equal_fruits(apples,bananas) ),
inference(factoring,[status(thm)],[p64]) ).
cnf(f11,axiom,
~ equal_fruits(bananas,oranges),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bananas_not_oranges) ).
fof(f11_nnf,plain,
~ equal_fruits(bananas,oranges),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
~ equal_fruits(bananas,oranges),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
~ equal_fruits(bananas,oranges),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p70,plain,
equal_fruits(apples,bananas),
inference(resolution,[status(thm)],[p69,c11]) ).
cnf(f10,axiom,
~ equal_fruits(apples,bananas),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apples_not_bananas) ).
fof(f10_nnf,plain,
~ equal_fruits(apples,bananas),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
~ equal_fruits(apples,bananas),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
~ equal_fruits(apples,bananas),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p71,plain,
$false,
inference(resolution,[status(thm)],[p70,c10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ012-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 06:37:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.28/1.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.28/1.46 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------