%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN007-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n028.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 : Thu Jul 24 06:32:29 PM UTC 2025
% Result : Unsatisfiable 242.12s 30.90s
% Output : CNFRefutation 242.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_zQyLEzQx)
% Comments :
%------------------------------------------------------------------------------
cnf(18,plain,
~ less_equal(zQy,zQx),
inference(cnf,[status(esa)],[prove_zQyLEzQx]) ).
cnf(l0,plain,
~ less_equal(zQy,zQx),
inference(instantiation,[status(thm)],[18]) ).
cnf(13,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X2)
| less_equal(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_less_equal]) ).
cnf(l1,plain,
( ~ less_equal(zQy,divide(zQx,y))
| ~ less_equal(divide(zQx,y),zQx)
| less_equal(zQy,zQx) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(2,plain,
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
inference(cnf,[status(esa)],[divisor_existence]) ).
cnf(l3,plain,
( ~ quotient(zQx,y,divide(zQx,y))
| less_equal(divide(zQx,y),zQx) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(7,plain,
quotient(X0,X1,divide(X0,X1)),
inference(cnf,[status(esa)],[closure]) ).
cnf(l8,plain,
quotient(zQx,y,divide(zQx,y)),
inference(instantiation,[status(thm)],[7]) ).
cnf(3,plain,
( ~ quotient(X0,X1,X2)
| ~ quotient(X0,X3,X4)
| ~ quotient(X1,X3,X5)
| ~ quotient(X2,X3,X6)
| ~ quotient(X4,X5,X7)
| less_equal(X7,X6) ),
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l2,plain,
( ~ quotient(z,x,zQx)
| ~ quotient(z,y,zQy)
| ~ quotient(x,y,zero)
| ~ quotient(zQx,y,divide(zQx,y))
| ~ quotient(zQy,zero,zQy)
| less_equal(zQy,divide(zQx,y)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(17,plain,
quotient(z,x,zQx),
inference(cnf,[status(esa)],[zQx]) ).
cnf(l66,plain,
quotient(z,x,zQx),
inference(instantiation,[status(thm)],[17]) ).
cnf(16,plain,
quotient(z,y,zQy),
inference(cnf,[status(esa)],[zQy]) ).
cnf(l70,plain,
quotient(z,y,zQy),
inference(instantiation,[status(thm)],[16]) ).
cnf(12,plain,
quotient(X0,zero,X0),
inference(cnf,[status(esa)],[x_divde_zero_is_x]) ).
cnf(l105,plain,
quotient(zQy,zero,zQy),
inference(instantiation,[status(thm)],[12]) ).
cnf(l67,plain,
quotient(zQx,y,divide(zQx,y)),
inference(instantiation,[status(thm)],[7]) ).
cnf(0,plain,
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
inference(cnf,[status(esa)],[quotient_less_equal]) ).
cnf(l65,plain,
( ~ less_equal(x,y)
| quotient(x,y,zero) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(15,plain,
less_equal(x,y),
inference(cnf,[status(esa)],[xLEy]) ).
cnf(l72,plain,
less_equal(x,y),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l8,l2,l66,l70,l105,l67,l65,l72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN007-2 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 17:35:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.18/0.35 % launching worker at depth: 10
% 2.92/0.76 % launching worker at depth: 11
% 242.12/30.90 % SZS status Theorem for theBenchmark
% 242.12/30.90 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------