%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MSC006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 02:13:26 PM UTC 2026
% Result : Unsatisfiable 6.61s 16.47s
% Output : Proof 6.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 15 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 77 ( 35 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 69 ( 7 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,hypothesis,
( q(X,Z)
| ~ q(Y,Z)
| ~ q(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_transitivity) ).
fof(f1_nnf,plain,
! [X,Y,Z] :
( q(X,Z)
| ~ q(Y,Z)
| ~ q(X,Y) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y,Z] :
( q(X,Z)
| ~ q(Y,Z)
| ~ q(X,Y) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( q(X0,X2)
| ~ q(X1,X2)
| ~ q(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f3,hypothesis,
( q(X,Y)
| p(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_related) ).
fof(f3_nnf,plain,
! [X,Y] :
( q(X,Y)
| p(X,Y) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] :
( q(X,Y)
| p(X,Y) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( q(X0,X1)
| p(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f2,hypothesis,
( q(Y,X)
| ~ q(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_symmetry) ).
fof(f2_nnf,plain,
! [X,Y] :
( q(Y,X)
| ~ q(X,Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( q(Y,X)
| ~ q(X,Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( q(X1,X0)
| ~ q(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p7,plain,
( q(X1,X0)
| p(X0,X1) ),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(p13,plain,
( p(X0,X2)
| q(X2,X1)
| ~ q(X0,X1) ),
inference(resolution,[status(thm)],[c1,p7]) ).
cnf(p17,plain,
( p(X2,X1)
| p(X2,X0)
| q(X0,X1) ),
inference(resolution,[status(thm)],[p13,c3]) ).
cnf(f5,negated_conjecture,
~ q(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_q_is_total) ).
fof(f5_nnf,plain,
~ q(c,d),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
~ q(c,d),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
~ q(c,d),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p69,plain,
( p(X0,d)
| p(X0,c) ),
inference(resolution,[status(thm)],[p17,c5]) ).
cnf(f0,hypothesis,
( p(X,Z)
| ~ p(Y,Z)
| ~ p(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_transitivity) ).
fof(f0_nnf,plain,
! [X,Y,Z] :
( p(X,Z)
| ~ p(Y,Z)
| ~ p(X,Y) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y,Z] :
( p(X,Z)
| ~ p(Y,Z)
| ~ p(X,Y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( p(X0,X2)
| ~ p(X1,X2)
| ~ p(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p76,plain,
( p(X0,X1)
| ~ p(d,X1)
| p(X0,c) ),
inference(resolution,[status(thm)],[p69,c0]) ).
cnf(p77,plain,
( ~ p(d,c)
| p(X0,c) ),
inference(factoring,[status(thm)],[p76]) ).
cnf(p12,plain,
( p(X2,X0)
| q(X2,X1)
| ~ q(X0,X1) ),
inference(resolution,[status(thm)],[c1,c3]) ).
cnf(p16,plain,
( p(X1,X2)
| p(X0,X2)
| q(X0,X1) ),
inference(resolution,[status(thm)],[p12,p7]) ).
cnf(p46,plain,
( p(d,X0)
| p(c,X0) ),
inference(resolution,[status(thm)],[p16,c5]) ).
cnf(p6,plain,
p(c,d),
inference(resolution,[status(thm)],[c3,c5]) ).
cnf(p8,plain,
( p(c,X0)
| ~ p(d,X0) ),
inference(resolution,[status(thm)],[p6,c0]) ).
cnf(p61,plain,
( p(c,X0)
| p(c,X0) ),
inference(resolution,[status(thm)],[p46,p8]) ).
cnf(p65,plain,
p(c,X0),
inference(factoring,[status(thm)],[p61]) ).
cnf(p9,plain,
p(d,c),
inference(resolution,[status(thm)],[p7,c5]) ).
cnf(p10,plain,
( p(d,X0)
| ~ p(c,X0) ),
inference(resolution,[status(thm)],[p9,c0]) ).
cnf(p75,plain,
p(d,X0),
inference(resolution,[status(thm)],[p65,p10]) ).
cnf(p93,plain,
p(X0,c),
inference(resolution,[status(thm)],[p77,p75]) ).
cnf(p94,plain,
( p(X1,X0)
| ~ p(c,X0) ),
inference(resolution,[status(thm)],[p93,c0]) ).
cnf(p98,plain,
p(X0,X1),
inference(resolution,[status(thm)],[p94,p65]) ).
cnf(f4,hypothesis,
~ p(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_is_not_total) ).
fof(f4_nnf,plain,
~ p(a,b),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
~ p(a,b),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
~ p(a,b),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p99,plain,
$false,
inference(resolution,[status(thm)],[p98,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/15.38 % Computer : n017.cluster.edu
% 0.11/15.38 % Model : x86_64 x86_64
% 0.11/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.38 % Memory : 8046.5625MB
% 0.11/15.38 % OS : Linux 6.8.0-71-generic
% 0.11/15.38 % CPULimit : 300
% 0.11/15.38 % WCLimit : 300
% 0.11/15.38 % DateTime : Thu Sep 24 01:22:16 UTC 2026
% 0.11/15.39 % CPUTime :
% 0.11/15.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.61/16.47 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.61/16.47 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------