TSTP Solution File: HEN011-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 : 600s
% DateTime : Sat Jul 16 13:02:34 EDT 2022
% Result : Unsatisfiable 11.56s 11.73s
% Output : Refutation 11.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 16
% Syntax : Number of clauses : 195 ( 189 unt; 0 nHn; 119 RR)
% Number of literals : 207 ( 58 equ; 15 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 117 ( 66 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_less_equal,axiom,
( ~ less_equal(X,Y)
| quotient(X,Y,zero) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(less_equal_quotient,axiom,
( ~ quotient(X,Y,zero)
| less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
cnf(divisor_existence,axiom,
( ~ quotient(X,Y,Z)
| less_equal(Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
cnf(quotient_property,axiom,
( ~ quotient(X,Y,Z)
| ~ quotient(Y,U,V)
| ~ quotient(X,U,W)
| ~ quotient(W,V,X1)
| ~ quotient(Z,U,Y1)
| less_equal(X1,Y1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
cnf(identity_is_largest,axiom,
less_equal(X,identity),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',identity_is_largest) ).
cnf(closure,axiom,
quotient(X,Y,divide(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',closure) ).
cnf(well_defined,axiom,
( ~ quotient(X,Y,Z)
| ~ quotient(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',well_defined) ).
cnf(identity_divide_a,hypothesis,
quotient(identity,a,idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).
cnf(identity_divide_b,hypothesis,
quotient(identity,b,idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_b) ).
cnf(identity_divide_idQb,hypothesis,
quotient(identity,idQb,idQ_idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQb) ).
cnf(idQa_divide_idQ_idQb,hypothesis,
quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idQa_divide_idQ_idQb) ).
cnf(identity_divide_idQa,hypothesis,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa) ).
cnf(idQb_divide_idQ_idQa,hypothesis,
quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idQb_divide_idQ_idQa) ).
cnf(prove_idQa_Q__idQ_idQb_equals_idQb_Q__idQ_idQa,negated_conjecture,
idQa_Q__idQ_idQb != idQb_Q__idQ_idQa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idQa_Q__idQ_idQb_equals_idQb_Q__idQ_idQa) ).
cnf(17,plain,
quotient(X,identity,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,identity_is_largest]) ).
cnf(18,plain,
quotient(zero,X,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,zero_is_smallest]) ).
cnf(21,plain,
less_equal(divide(X,Y),X),
inference('HYPERRESOLVE',[status(thm)],[divisor_existence,closure]) ).
cnf(24,plain,
idQb_Q__idQ_idQa = divide(idQb,idQ_idQa),
inference('HYPERRESOLVE',[status(thm)],[well_defined,idQb_divide_idQ_idQa,closure]) ).
cnf(25,plain,
idQ_idQa = divide(identity,idQa),
inference('HYPERRESOLVE',[status(thm)],[well_defined,identity_divide_idQa,closure]) ).
cnf(26,plain,
idQa_Q__idQ_idQb = divide(idQa,idQ_idQb),
inference('HYPERRESOLVE',[status(thm)],[well_defined,idQa_divide_idQ_idQb,closure]) ).
cnf(27,plain,
idQ_idQb = divide(identity,idQb),
inference('HYPERRESOLVE',[status(thm)],[well_defined,identity_divide_idQb,closure]) ).
cnf(31,plain,
less_equal(divide(divide(identity,idQ_idQb),idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,identity_divide_idQa,idQa_divide_idQ_idQb,closure,closure,closure]) ).
cnf(32,plain,
less_equal(divide(idQa,divide(idQa,a)),divide(idQ_idQa,a)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,identity_divide_idQa,closure,identity_divide_a,closure,closure]) ).
cnf(37,plain,
less_equal(divide(divide(identity,idQ_idQa),idQb_Q__idQ_idQa),divide(idQ_idQb,idQ_idQa)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,identity_divide_idQb,idQb_divide_idQ_idQa,closure,closure,closure]) ).
cnf(39,plain,
less_equal(divide(idQb,divide(idQb,b)),divide(idQ_idQb,b)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,identity_divide_idQb,closure,identity_divide_b,closure,closure]) ).
cnf(44,plain,
less_equal(divide(idQ_idQb,divide(b,idQb)),divide(idQb,idQb)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,identity_divide_b,closure,identity_divide_idQb,closure,closure]) ).
cnf(50,plain,
less_equal(divide(idQ_idQa,divide(a,idQa)),divide(idQa,idQa)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,identity_divide_a,closure,identity_divide_idQa,closure,closure]) ).
cnf(56,plain,
less_equal(divide(idQb,idQb),divide(divide(identity,identity),b)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,closure,identity_divide_b,identity_divide_b,closure,closure]) ).
cnf(57,plain,
less_equal(divide(idQa,idQa),divide(divide(identity,identity),a)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,closure,identity_divide_a,identity_divide_a,closure,closure]) ).
cnf(58,plain,
less_equal(divide(divide(idQb,X),divide(idQ_idQa,X)),divide(idQb_Q__idQ_idQa,X)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,idQb_divide_idQ_idQa,closure,closure,closure,closure]) ).
cnf(59,plain,
less_equal(divide(divide(identity,X),divide(idQa,X)),divide(idQ_idQa,X)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,identity_divide_idQa,closure,closure,closure,closure]) ).
cnf(60,plain,
less_equal(divide(divide(idQa,X),divide(idQ_idQb,X)),divide(idQa_Q__idQ_idQb,X)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,idQa_divide_idQ_idQb,closure,closure,closure,closure]) ).
cnf(61,plain,
less_equal(divide(divide(identity,X),divide(idQb,X)),divide(idQ_idQb,X)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,identity_divide_idQb,closure,closure,closure,closure]) ).
cnf(65,plain,
less_equal(divide(divide(X,idQa),idQ_idQa),divide(divide(X,identity),idQa)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,closure,identity_divide_idQa,closure,closure,closure]) ).
cnf(67,plain,
less_equal(divide(divide(X,idQb),idQ_idQb),divide(divide(X,identity),idQb)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,closure,identity_divide_idQb,closure,closure,closure]) ).
cnf(68,plain,
less_equal(divide(divide(X,b),idQb),divide(divide(X,identity),b)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,closure,identity_divide_b,closure,closure,closure]) ).
cnf(69,plain,
less_equal(divide(divide(X,a),idQa),divide(divide(X,identity),a)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,closure,identity_divide_a,closure,closure,closure]) ).
cnf(76,plain,
less_equal(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,closure,closure,closure,closure,closure]) ).
cnf(79,plain,
zero = divide(X,identity),
inference('HYPERRESOLVE',[status(thm)],[well_defined,17,closure]) ).
cnf(80,plain,
less_equal(divide(divide(X,idQa),idQ_idQa),divide(zero,idQa)),
inference('REWRITE',[status(thm)],[65,79,theory(equality)]) ).
cnf(81,plain,
less_equal(divide(divide(X,idQb),idQ_idQb),divide(zero,idQb)),
inference('REWRITE',[status(thm)],[67,79,theory(equality)]) ).
cnf(82,plain,
less_equal(divide(divide(X,b),idQb),divide(zero,b)),
inference('REWRITE',[status(thm)],[68,79,theory(equality)]) ).
cnf(83,plain,
less_equal(divide(divide(X,a),idQa),divide(zero,a)),
inference('REWRITE',[status(thm)],[69,79,theory(equality)]) ).
cnf(86,plain,
less_equal(divide(idQb,idQb),divide(zero,b)),
inference('REWRITE',[status(thm)],[56,79,theory(equality)]) ).
cnf(87,plain,
less_equal(divide(idQa,idQa),divide(zero,a)),
inference('REWRITE',[status(thm)],[57,79,theory(equality)]) ).
cnf(90,plain,
less_equal(divide(divide(X,Y),divide(identity,Y)),divide(zero,Y)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,17,closure,closure,closure,closure]) ).
cnf(91,plain,
zero = divide(zero,X),
inference('HYPERRESOLVE',[status(thm)],[well_defined,18,closure]) ).
cnf(92,plain,
less_equal(divide(divide(X,Y),divide(identity,Y)),zero),
inference('REWRITE',[status(thm)],[90,91,theory(equality)]) ).
cnf(95,plain,
less_equal(divide(divide(X,a),idQa),zero),
inference('REWRITE',[status(thm)],[83,91,theory(equality)]) ).
cnf(96,plain,
less_equal(divide(idQa,idQa),zero),
inference('REWRITE',[status(thm)],[87,91,theory(equality)]) ).
cnf(97,plain,
less_equal(divide(divide(X,b),idQb),zero),
inference('REWRITE',[status(thm)],[82,91,theory(equality)]) ).
cnf(98,plain,
less_equal(divide(idQb,idQb),zero),
inference('REWRITE',[status(thm)],[86,91,theory(equality)]) ).
cnf(99,plain,
less_equal(divide(divide(X,idQb),idQ_idQb),zero),
inference('REWRITE',[status(thm)],[81,91,theory(equality)]) ).
cnf(101,plain,
less_equal(divide(divide(X,idQa),idQ_idQa),zero),
inference('REWRITE',[status(thm)],[80,91,theory(equality)]) ).
cnf(109,plain,
less_equal(divide(divide(X,Y),zero),divide(divide(X,zero),Y)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,18,closure,closure,closure,closure]) ).
cnf(122,plain,
quotient(divide(X,Y),X,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,21]) ).
cnf(123,plain,
divide(idQa,idQa) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,96,zero_is_smallest]) ).
cnf(125,plain,
less_equal(divide(idQ_idQa,divide(a,idQa)),zero),
inference('REWRITE',[status(thm)],[50,123,theory(equality)]) ).
cnf(127,plain,
divide(idQb,idQb) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,98,zero_is_smallest]) ).
cnf(129,plain,
less_equal(divide(idQ_idQb,divide(b,idQb)),zero),
inference('REWRITE',[status(thm)],[44,127,theory(equality)]) ).
cnf(172,plain,
less_equal(divide(divide(divide(X,Y),Z),divide(X,Z)),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,122,closure,closure,closure,18]) ).
cnf(177,plain,
less_equal(divide(idQb,zero),divide(divide(identity,divide(b,X)),b)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,122,closure,identity_divide_b,closure,closure]) ).
cnf(178,plain,
less_equal(divide(idQa,zero),divide(divide(identity,divide(a,X)),a)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,122,closure,identity_divide_a,closure,closure]) ).
cnf(180,plain,
less_equal(divide(divide(X,Y),zero),divide(divide(X,divide(Y,Z)),Y)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,122,closure,closure,closure,closure]) ).
cnf(185,plain,
divide(divide(X,a),idQa) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,95,zero_is_smallest]) ).
cnf(186,plain,
divide(divide(X,b),idQb) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,97,zero_is_smallest]) ).
cnf(187,plain,
divide(divide(X,idQb),idQ_idQb) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,99,zero_is_smallest]) ).
cnf(188,plain,
divide(divide(X,idQa),idQ_idQa) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,101,zero_is_smallest]) ).
cnf(189,plain,
divide(idQ_idQa,divide(a,idQa)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,125,zero_is_smallest]) ).
cnf(190,plain,
divide(idQ_idQb,divide(b,idQb)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,129,zero_is_smallest]) ).
cnf(213,plain,
quotient(divide(X,a),idQa,zero),
inference('PARAMODULATE',[status(thm)],[closure,185,theory(equality)]) ).
cnf(214,plain,
less_equal(divide(X,a),idQa),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,213]) ).
cnf(221,plain,
quotient(divide(X,b),idQb,zero),
inference('PARAMODULATE',[status(thm)],[closure,186,theory(equality)]) ).
cnf(222,plain,
less_equal(divide(X,b),idQb),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,221]) ).
cnf(229,plain,
quotient(divide(X,idQb),idQ_idQb,zero),
inference('PARAMODULATE',[status(thm)],[closure,187,theory(equality)]) ).
cnf(230,plain,
less_equal(divide(X,idQb),idQ_idQb),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,229]) ).
cnf(232,plain,
less_equal(divide(divide(X,idQ_idQb),divide(idQb,idQ_idQb)),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,229,closure,closure,closure,closure]) ).
cnf(237,plain,
quotient(divide(X,idQa),idQ_idQa,zero),
inference('PARAMODULATE',[status(thm)],[closure,188,theory(equality)]) ).
cnf(238,plain,
less_equal(divide(X,idQa),idQ_idQa),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,237]) ).
cnf(240,plain,
less_equal(divide(divide(X,idQ_idQa),divide(idQa,idQ_idQa)),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,237,closure,closure,closure,closure]) ).
cnf(245,plain,
quotient(idQ_idQa,divide(a,idQa),zero),
inference('PARAMODULATE',[status(thm)],[closure,189,theory(equality)]) ).
cnf(246,plain,
less_equal(idQ_idQa,divide(a,idQa)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,245]) ).
cnf(254,plain,
idQ_idQa = divide(a,idQa),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,246,238]) ).
cnf(255,plain,
quotient(idQ_idQb,divide(b,idQb),zero),
inference('PARAMODULATE',[status(thm)],[closure,190,theory(equality)]) ).
cnf(256,plain,
less_equal(idQ_idQb,divide(b,idQb)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,255]) ).
cnf(264,plain,
idQ_idQb = divide(b,idQb),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,256,230]) ).
cnf(266,plain,
quotient(idQ_idQa,a,zero),
inference('PARAMODULATE',[status(thm)],[122,254,theory(equality)]) ).
cnf(268,plain,
zero = divide(idQ_idQa,a),
inference('HYPERRESOLVE',[status(thm)],[well_defined,266,closure]) ).
cnf(269,plain,
less_equal(divide(idQa,divide(idQa,a)),zero),
inference('REWRITE',[status(thm)],[32,268,theory(equality)]) ).
cnf(283,plain,
divide(idQa,divide(idQa,a)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,269,zero_is_smallest]) ).
cnf(285,plain,
quotient(idQ_idQb,b,zero),
inference('PARAMODULATE',[status(thm)],[122,264,theory(equality)]) ).
cnf(287,plain,
zero = divide(idQ_idQb,b),
inference('HYPERRESOLVE',[status(thm)],[well_defined,285,closure]) ).
cnf(288,plain,
less_equal(divide(idQb,divide(idQb,b)),zero),
inference('REWRITE',[status(thm)],[39,287,theory(equality)]) ).
cnf(302,plain,
divide(idQb,divide(idQb,b)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,288,zero_is_smallest]) ).
cnf(303,plain,
quotient(idQa,divide(idQa,a),zero),
inference('PARAMODULATE',[status(thm)],[closure,283,theory(equality)]) ).
cnf(304,plain,
less_equal(idQa,divide(idQa,a)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,303]) ).
cnf(314,plain,
idQa = divide(idQa,a),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,304,214]) ).
cnf(315,plain,
quotient(idQb,divide(idQb,b),zero),
inference('PARAMODULATE',[status(thm)],[closure,302,theory(equality)]) ).
cnf(316,plain,
less_equal(idQb,divide(idQb,b)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,315]) ).
cnf(326,plain,
idQb = divide(idQb,b),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,316,222]) ).
cnf(339,plain,
quotient(divide(divide(identity,idQ_idQb),idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,31]) ).
cnf(342,plain,
quotient(divide(divide(identity,idQ_idQa),idQb_Q__idQ_idQa),divide(idQ_idQb,idQ_idQa),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,37]) ).
cnf(364,plain,
divide(divide(X,Y),divide(identity,Y)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,92,zero_is_smallest]) ).
cnf(403,plain,
less_equal(divide(divide(divide(divide(identity,idQ_idQb),idQa_Q__idQ_idQb),idQ_idQa),zero),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,339,122,closure,closure,18]) ).
cnf(421,plain,
less_equal(divide(divide(divide(divide(identity,idQ_idQa),idQb_Q__idQ_idQa),idQ_idQb),zero),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,342,122,closure,closure,18]) ).
cnf(474,plain,
quotient(divide(X,Y),divide(identity,Y),zero),
inference('PARAMODULATE',[status(thm)],[closure,364,theory(equality)]) ).
cnf(475,plain,
less_equal(divide(X,Y),divide(identity,Y)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,474]) ).
cnf(476,plain,
less_equal(divide(divide(X,divide(identity,zero)),zero),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,474,closure,18,closure,closure]) ).
cnf(508,plain,
divide(divide(X,idQ_idQb),divide(idQb,idQ_idQb)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,232,zero_is_smallest]) ).
cnf(509,plain,
divide(divide(X,idQ_idQa),divide(idQa,idQ_idQa)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,240,zero_is_smallest]) ).
cnf(787,plain,
quotient(divide(X,idQ_idQb),divide(idQb,idQ_idQb),zero),
inference('PARAMODULATE',[status(thm)],[closure,508,theory(equality)]) ).
cnf(791,plain,
less_equal(divide(X,idQ_idQb),divide(idQb,idQ_idQb)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,787]) ).
cnf(796,plain,
divide(identity,idQ_idQb) = divide(idQb,idQ_idQb),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,791,475]) ).
cnf(802,plain,
less_equal(divide(divide(divide(divide(idQb,idQ_idQb),idQa_Q__idQ_idQb),idQ_idQa),zero),zero),
inference('REWRITE',[status(thm)],[403,796,theory(equality)]) ).
cnf(814,plain,
quotient(divide(X,idQ_idQa),divide(idQa,idQ_idQa),zero),
inference('PARAMODULATE',[status(thm)],[closure,509,theory(equality)]) ).
cnf(818,plain,
less_equal(divide(X,idQ_idQa),divide(idQa,idQ_idQa)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,814]) ).
cnf(823,plain,
divide(identity,idQ_idQa) = divide(idQa,idQ_idQa),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,818,475]) ).
cnf(829,plain,
less_equal(divide(divide(divide(divide(idQa,idQ_idQa),idQb_Q__idQ_idQa),idQ_idQb),zero),zero),
inference('REWRITE',[status(thm)],[421,823,theory(equality)]) ).
cnf(963,plain,
divide(divide(divide(X,Y),Z),divide(X,Z)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,172,zero_is_smallest]) ).
cnf(964,plain,
divide(divide(X,divide(identity,zero)),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,476,zero_is_smallest]) ).
cnf(1287,plain,
divide(divide(divide(divide(idQb,idQ_idQb),idQa_Q__idQ_idQb),idQ_idQa),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,802,zero_is_smallest]) ).
cnf(1288,plain,
divide(divide(divide(divide(idQa,idQ_idQa),idQb_Q__idQ_idQa),idQ_idQb),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,829,zero_is_smallest]) ).
cnf(1290,plain,
less_equal(divide(divide(divide(X,Y),divide(X,zero)),zero),zero),
inference('PARAMODULATE',[status(thm)],[109,963,theory(equality)]) ).
cnf(1516,plain,
quotient(divide(X,divide(identity,zero)),zero,zero),
inference('PARAMODULATE',[status(thm)],[closure,964,theory(equality)]) ).
cnf(1524,plain,
less_equal(divide(X,divide(identity,zero)),zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,1516]) ).
cnf(1525,plain,
divide(X,divide(identity,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,1524,zero_is_smallest]) ).
cnf(1610,plain,
quotient(X,divide(identity,zero),zero),
inference('PARAMODULATE',[status(thm)],[closure,1525,theory(equality)]) ).
cnf(1625,plain,
less_equal(X,divide(identity,zero)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,1610]) ).
cnf(1626,plain,
identity = divide(identity,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,1625,21]) ).
cnf(1664,plain,
less_equal(divide(identity,divide(idQb,zero)),divide(idQ_idQb,zero)),
inference('PARAMODULATE',[status(thm)],[61,1626,theory(equality)]) ).
cnf(1665,plain,
less_equal(divide(identity,divide(idQa,zero)),divide(idQ_idQa,zero)),
inference('PARAMODULATE',[status(thm)],[59,1626,theory(equality)]) ).
cnf(2145,plain,
quotient(divide(divide(divide(idQb,idQ_idQb),idQa_Q__idQ_idQb),idQ_idQa),zero,zero),
inference('PARAMODULATE',[status(thm)],[closure,1287,theory(equality)]) ).
cnf(2153,plain,
less_equal(divide(divide(divide(idQb,idQ_idQb),idQa_Q__idQ_idQb),idQ_idQa),zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,2145]) ).
cnf(2157,plain,
divide(divide(divide(idQb,idQ_idQb),idQa_Q__idQ_idQb),idQ_idQa) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2153,zero_is_smallest]) ).
cnf(2158,plain,
quotient(divide(divide(divide(idQa,idQ_idQa),idQb_Q__idQ_idQa),idQ_idQb),zero,zero),
inference('PARAMODULATE',[status(thm)],[closure,1288,theory(equality)]) ).
cnf(2166,plain,
less_equal(divide(divide(divide(idQa,idQ_idQa),idQb_Q__idQ_idQa),idQ_idQb),zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,2158]) ).
cnf(2170,plain,
divide(divide(divide(idQa,idQ_idQa),idQb_Q__idQ_idQa),idQ_idQb) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2166,zero_is_smallest]) ).
cnf(2171,plain,
divide(divide(divide(X,Y),divide(X,zero)),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,1290,zero_is_smallest]) ).
cnf(2395,plain,
less_equal(divide(divide(divide(idQb,idQ_idQb),idQ_idQa),divide(idQa_Q__idQ_idQb,idQ_idQa)),zero),
inference('PARAMODULATE',[status(thm)],[76,2157,theory(equality)]) ).
cnf(2413,plain,
less_equal(divide(divide(divide(idQa,idQ_idQa),idQ_idQb),divide(idQb_Q__idQ_idQa,idQ_idQb)),zero),
inference('PARAMODULATE',[status(thm)],[76,2170,theory(equality)]) ).
cnf(2814,plain,
quotient(divide(divide(X,Y),divide(X,zero)),zero,zero),
inference('PARAMODULATE',[status(thm)],[closure,2171,theory(equality)]) ).
cnf(2831,plain,
quotient(divide(idQb,divide(idQb,zero)),zero,zero),
inference('PARAMODULATE',[status(thm)],[2814,326,theory(equality)]) ).
cnf(2833,plain,
quotient(divide(idQa,divide(idQa,zero)),zero,zero),
inference('PARAMODULATE',[status(thm)],[2814,314,theory(equality)]) ).
cnf(2853,plain,
less_equal(divide(idQb,divide(idQb,zero)),zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,2831]) ).
cnf(2869,plain,
less_equal(divide(idQa,divide(idQa,zero)),zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,2833]) ).
cnf(2877,plain,
divide(idQb,divide(idQb,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2853,zero_is_smallest]) ).
cnf(2879,plain,
divide(idQa,divide(idQa,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2869,zero_is_smallest]) ).
cnf(2906,plain,
quotient(idQb,divide(idQb,zero),zero),
inference('PARAMODULATE',[status(thm)],[closure,2877,theory(equality)]) ).
cnf(2921,plain,
less_equal(idQb,divide(idQb,zero)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,2906]) ).
cnf(2925,plain,
idQb = divide(idQb,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2921,21]) ).
cnf(2926,plain,
less_equal(idQb,divide(divide(identity,divide(b,X)),b)),
inference('REWRITE',[status(thm)],[177,2925,theory(equality)]) ).
cnf(2937,plain,
less_equal(idQ_idQb,divide(idQ_idQb,zero)),
inference('REWRITE',[status(thm)],[1664,27,2925,theory(equality)]) ).
cnf(2971,plain,
idQb = divide(divide(identity,divide(b,X)),b),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2926,222]) ).
cnf(2973,plain,
less_equal(idQb,divide(identity,divide(b,X))),
inference('PARAMODULATE',[status(thm)],[21,2971,theory(equality)]) ).
cnf(2990,plain,
less_equal(idQb,divide(idQb,idQ_idQb)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2973,264,theory(equality)]),796,theory(equality)]) ).
cnf(2991,plain,
idQb = divide(idQb,idQ_idQb),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2990,21]) ).
cnf(2992,plain,
quotient(divide(X,idQ_idQb),idQb,zero),
inference('REWRITE',[status(thm)],[787,2991,theory(equality)]) ).
cnf(3064,plain,
less_equal(divide(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa)),zero),
inference('REWRITE',[status(thm)],[2395,24,2991,theory(equality)]) ).
cnf(3103,plain,
less_equal(divide(divide(divide(X,idQ_idQb),idQ_idQa),idQb_Q__idQ_idQa),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,2992,idQb_divide_idQ_idQa,closure,closure,18]) ).
cnf(3157,plain,
divide(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,3064,zero_is_smallest]) ).
cnf(3178,plain,
quotient(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa),zero),
inference('PARAMODULATE',[status(thm)],[closure,3157,theory(equality)]) ).
cnf(3190,plain,
less_equal(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,3178]) ).
cnf(3220,plain,
quotient(idQa,divide(idQa,zero),zero),
inference('PARAMODULATE',[status(thm)],[closure,2879,theory(equality)]) ).
cnf(3235,plain,
less_equal(idQa,divide(idQa,zero)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,3220]) ).
cnf(3239,plain,
idQa = divide(idQa,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,3235,21]) ).
cnf(3240,plain,
less_equal(idQa,divide(divide(identity,divide(a,X)),a)),
inference('REWRITE',[status(thm)],[178,3239,theory(equality)]) ).
cnf(3251,plain,
less_equal(idQ_idQa,divide(idQ_idQa,zero)),
inference('REWRITE',[status(thm)],[1665,25,3239,theory(equality)]) ).
cnf(3285,plain,
idQa = divide(divide(identity,divide(a,X)),a),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,3240,214]) ).
cnf(3287,plain,
less_equal(idQa,divide(identity,divide(a,X))),
inference('PARAMODULATE',[status(thm)],[21,3285,theory(equality)]) ).
cnf(3304,plain,
less_equal(idQa,divide(idQa,idQ_idQa)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3287,254,theory(equality)]),823,theory(equality)]) ).
cnf(3305,plain,
idQa = divide(idQa,idQ_idQa),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,3304,21]) ).
cnf(3375,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(idQb_Q__idQ_idQa,idQ_idQb)),zero),
inference('REWRITE',[status(thm)],[2413,26,3305,theory(equality)]) ).
cnf(3473,plain,
divide(idQa_Q__idQ_idQb,divide(idQb_Q__idQ_idQa,idQ_idQb)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,3375,zero_is_smallest]) ).
cnf(3496,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),zero),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[180,3473,theory(equality)]),91,theory(equality)]) ).
cnf(3517,plain,
less_equal(divide(idQb,divide(idQ_idQa,zero)),divide(idQb_Q__idQ_idQa,zero)),
inference('PARAMODULATE',[status(thm)],[58,2925,theory(equality)]) ).
cnf(3527,plain,
idQ_idQb = divide(idQ_idQb,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2937,21]) ).
cnf(3915,plain,
divide(divide(divide(X,idQ_idQb),idQ_idQa),idQb_Q__idQ_idQa) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,3103,zero_is_smallest]) ).
cnf(3924,plain,
less_equal(idQa_Q__idQ_idQb,divide(idQa_Q__idQ_idQb,zero)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[60,3239,theory(equality)]),26,3527,theory(equality)]) ).
cnf(3936,plain,
idQ_idQa = divide(idQ_idQa,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,3251,21]) ).
cnf(4024,plain,
less_equal(idQb_Q__idQ_idQa,divide(idQb_Q__idQ_idQa,zero)),
inference('REWRITE',[status(thm)],[3517,24,3936,theory(equality)]) ).
cnf(4333,plain,
divide(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,3496,zero_is_smallest]) ).
cnf(5299,plain,
divide(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa) = zero,
inference('PARAMODULATE',[status(thm)],[3915,26,theory(equality)]) ).
cnf(5310,plain,
quotient(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa,zero),
inference('PARAMODULATE',[status(thm)],[closure,5299,theory(equality)]) ).
cnf(5320,plain,
less_equal(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,5310]) ).
cnf(5323,plain,
divide(idQa_Q__idQ_idQb,idQ_idQa) = idQb_Q__idQ_idQa,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,5320,3190]) ).
cnf(5325,plain,
less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),
inference('PARAMODULATE',[status(thm)],[21,5323,theory(equality)]) ).
cnf(5355,plain,
~ less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,5325,prove_idQa_Q__idQ_idQb_equals_idQb_Q__idQ_idQa]) ).
cnf(5381,plain,
~ quotient(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa,zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_quotient,5355]) ).
cnf(5415,plain,
idQa_Q__idQ_idQb = divide(idQa_Q__idQ_idQb,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,3924,21]) ).
cnf(5672,plain,
idQb_Q__idQ_idQa = divide(idQb_Q__idQ_idQa,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,4024,21]) ).
cnf(5975,plain,
less_equal(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[76,4333,theory(equality)]),5672,5415,theory(equality)]) ).
cnf(5980,plain,
divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,5975,zero_is_smallest]) ).
cnf(5981,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[closure,5980,theory(equality)]),5381]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 1 13:53:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:53:24
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-01T13:53:24
% 0.19/0.48
% 0.19/0.48 ; Recognized relation function assertion (|quotient| ?X ?Y (|divide| ?X ?Y)).
% 11.56/11.73 ; Recognized relation functionality assertion (OR (NOT (|quotient| ?X ?Y ?Z)) (NOT (|quotient| ?X ?Y ?U)) (= ?Z ?U)).
% 11.56/11.73
% 11.56/11.73 #||
% 11.56/11.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.56/11.73 % SZS output start Refutation
% See solution above
% 11.56/11.76 ||#
% 11.56/11.76
% 11.56/11.76 ; Summary of computation:
% 11.56/11.76 ; 251205 formulas have been input or derived (from 1071 formulas).
% 11.56/11.76 ; 5981 ( 2%) were retained. Of these,
% 11.56/11.76 ; 2536 (42%) were simplified or subsumed later,
% 11.56/11.76 ; 3445 (58%) are still being kept.
% 11.56/11.76 ;
% 11.56/11.76 ; Run time in seconds excluding printing time:
% 11.56/11.76 ; 0.003 0% Read assertion file (1 call)
% 11.56/11.76 ; 0.001 0% Assert (16 calls)
% 11.56/11.76 ; 0.689 6% Process new row (148,421 calls)
% 11.56/11.76 ; 8.397 75% Resolution (2,140 calls)
% 11.56/11.76 ; 0.170 2% Paramodulation (1,070 calls)
% 11.56/11.76 ; 0.001 0% Condensing (6 calls)
% 11.56/11.76 ; 0.000 0% Forward subsumption (6 calls)
% 11.56/11.76 ; 0.000 0% Backward subsumption (6 calls)
% 11.56/11.76 ; 0.000 0% Clause clause subsumption (2 calls)
% 11.56/11.76 ; 1.365 12% Forward simplification (147,523 calls)
% 11.56/11.76 ; 0.193 2% Backward simplification (5,981 calls)
% 11.56/11.76 ; 0.027 0% Ordering (16,086 calls)
% 11.56/11.76 ; 0.000 0% Sortal reasoning (32 calls)
% 11.56/11.76 ; 0.000 0% Purity testing (1 call)
% 11.56/11.76 ; 0.414 4% Other
% 11.56/11.76 ; 11.260 Total
% 11.56/11.76 ; 11.292 Real time
% 11.56/11.76 ;
% 11.56/11.76 ; Term-hash-array has 12,929 terms in all.
% 11.56/11.76 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 11.56/11.76 ; Feature-vector-row-index has 12 nodes (12 at peak, 12 added, 0 deleted).
% 11.56/11.76 ; Retrieved 1 possibly forward subsuming row in 6 calls.
% 11.56/11.76 ; Retrieved 1 possibly backward subsumed row in 6 calls.
% 11.56/11.76 ; Path-index has 8,158 entries (8,175 at peak, 13,370 added, 5,212 deleted).
% 11.56/11.76 ; Path-index has 2,172 nodes (2,172 at peak, 2,967 added, 795 deleted).
% 11.56/11.76 ; Trie-index has 8,158 entries (8,175 at peak, 13,370 added, 5,212 deleted).
% 11.56/11.76 ; Trie-index has 34,428 nodes (34,487 at peak, 56,848 added, 22,420 deleted).
% 11.56/11.76 ; Retrieved 651,499 generalization terms in 483,034 calls.
% 11.56/11.76 ; Retrieved 11,244 instance terms in 5,974 calls.
% 11.56/11.76 ; Retrieved 6,434,743 unifiable terms in 1,631,109 calls.
% 11.56/11.76 ;
% 11.56/11.76 ; The agenda of rows to process has 37 entries:
% 11.56/11.76 ; 7 with value 21 6 with value 24 4 with value 27
% 11.56/11.76 ; 4 with value 22 1 with value 25 4 with value 28
% 11.56/11.76 ; 1 with value 23 4 with value 26 6 with value 29
% 11.56/11.76 ; The agenda of rows to give has 2892 entries:
% 11.56/11.76 ; 31 with value (4 21) 351 with value (4 27) 50 with value (4 33)
% 11.56/11.76 ; 163 with value (4 22) 292 with value (4 28) 78 with value (4 34)
% 11.56/11.76 ; 219 with value (4 23) 274 with value (4 29) 50 with value (4 35)
% 11.56/11.76 ; 260 with value (4 24) 184 with value (4 30) 34 with value (4 36)
% 11.56/11.76 ; 369 with value (4 25) 144 with value (4 31) 4 with value (4 37)
% 11.56/11.76 ; 264 with value (4 26) 120 with value (4 32) 5 with value (4 38)
% 11.56/11.76 Evaluation took:
% 11.56/11.76 11.292 seconds of real time
% 11.56/11.76 10.745995 seconds of user run time
% 11.56/11.76 0.544355 seconds of system run time
% 11.56/11.76 [Run times include 0.909 seconds GC run time.]
% 11.56/11.76 0 calls to %EVAL
% 11.56/11.76 0 page faults and
% 11.56/11.76 1,134,163,608 bytes consed.
% 11.56/11.76 :PROOF-FOUND
% 11.56/11.76 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:53:36
% 11.56/11.76 :PROOF-FOUND
% 11.56/11.76 *
%------------------------------------------------------------------------------