%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT040-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 01:55:05 PM UTC 2026
% Result : Unsatisfiable 6.00s 16.83s
% Output : CNFRefutation 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 20 RR)
% Number of literals : 32 ( 31 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t11,axiom,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t26,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t11]) ).
cnf(t4,axiom,
join(xx,zz) = join(xx,yy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t2,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t16,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t2]) ).
cnf(t956,plain,
join(zz,xx) = join(xx,yy),
inference(step,[status(thm)],[t4,t16]) ).
cnf(t957,plain,
join(zz,xx) = join(yy,xx),
inference(step,[status(thm)],[t956,t16]) ).
cnf(t33,plain,
join(yy,xx) = join(zz,xx),
inference(orient,[status(thm)],[t957]) ).
cnf(t34,plain,
join(yy,meet(xx,X1)) = meet(join(zz,xx),join(yy,X1)),
inference(cp,[status(thm)],[t26,t33]) ).
cnf(t913,plain,
meet(join(zz,xx),join(yy,X1)) = join(yy,meet(xx,X1)),
inference(orient,[status(thm)],[t34]) ).
cnf(t31,plain,
join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X3,X1)),
inference(cp,[status(thm)],[t26,t16]) ).
cnf(t825,plain,
meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t31]) ).
cnf(t914,plain,
join(yy,meet(xx,zz)) = join(zz,meet(xx,yy)),
inference(cp,[status(thm)],[t913,t825]) ).
cnf(t5,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t38,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t5]) ).
cnf(t996,plain,
join(yy,meet(zz,xx)) = join(zz,meet(xx,yy)),
inference(step,[status(thm)],[t914,t38]) ).
cnf(t3,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t13,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t7,axiom,
meet(xx,zz) = meet(xx,yy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t958,plain,
meet(zz,xx) = meet(xx,yy),
inference(step,[status(thm)],[t7,t38]) ).
cnf(t959,plain,
meet(zz,xx) = meet(yy,xx),
inference(step,[status(thm)],[t958,t38]) ).
cnf(t61,plain,
meet(yy,xx) = meet(zz,xx),
inference(orient,[status(thm)],[t959]) ).
cnf(t62,plain,
yy = join(yy,meet(zz,xx)),
inference(cp,[status(thm)],[t13,t61]) ).
cnf(t87,plain,
join(yy,meet(zz,xx)) = yy,
inference(orient,[status(thm)],[t62]) ).
cnf(t997,plain,
yy = join(zz,meet(xx,yy)),
inference(step,[status(thm)],[t996,t87]) ).
cnf(t998,plain,
yy = join(zz,meet(yy,xx)),
inference(step,[status(thm)],[t997,t38]) ).
cnf(t999,plain,
yy = join(zz,meet(zz,xx)),
inference(step,[status(thm)],[t998,t61]) ).
cnf(t1000,plain,
yy = zz,
inference(step,[status(thm)],[t999,t13]) ).
cnf(t951,plain,
yy = zz,
inference(orient,[status(thm)],[t1000]) ).
cnf(goal_0,negated_conjecture,
zz != yy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
zz != zz,
inference(rw,[status(thm)],[goal_0,t951]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT040-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/15.71 % CPULimit : 300
% 0.07/15.71 % WCLimit : 300
% 0.07/15.71 % DateTime : Wed Sep 23 20:05:25 UTC 2026
% 0.07/15.71 % CPUTime :
% 0.07/15.71 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.00/16.83 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.00/16.83 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------