TSTP Solution File: HEN011-3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN011-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 13:02:35 EDT 2022
% Result : Unsatisfiable 1.17s 1.35s
% Output : Refutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of clauses : 120 ( 117 unt; 0 nHn; 56 RR)
% Number of literals : 124 ( 56 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 108 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_less_equal1,axiom,
( ~ less_equal(X,Y)
| divide(X,Y) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(quotient_less_equal2,axiom,
( divide(X,Y) != zero
| less_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(quotient_smaller_than_numerator,axiom,
less_equal(divide(X,Y),X),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(quotient_property,axiom,
less_equal(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(identity_is_largest,axiom,
less_equal(X,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',identity_is_largest) ).
cnf(identity_divide_a,hypothesis,
divide(identity,a) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_a) ).
cnf(identity_divide_b,hypothesis,
divide(identity,b) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_b) ).
cnf(identity_divide_c,hypothesis,
divide(identity,c) = e,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_c) ).
cnf(identity_divide_d,hypothesis,
divide(identity,d) = g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_d) ).
cnf(prove_commutativity,negated_conjecture,
divide(c,g) != divide(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity) ).
cnf(14,plain,
divide(X,identity) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,identity_is_largest]) ).
cnf(15,plain,
divide(zero,X) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,zero_is_smallest]) ).
cnf(16,plain,
divide(divide(X,Y),X) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,quotient_smaller_than_numerator]) ).
cnf(21,plain,
less_equal(divide(g,divide(X,d)),divide(divide(identity,X),d)),
inference('PARAMODULATE',[status(thm)],[quotient_property,identity_divide_d,theory(equality)]) ).
cnf(22,plain,
less_equal(divide(e,divide(X,c)),divide(divide(identity,X),c)),
inference('PARAMODULATE',[status(thm)],[quotient_property,identity_divide_c,theory(equality)]) ).
cnf(23,plain,
less_equal(divide(d,divide(X,b)),divide(divide(identity,X),b)),
inference('PARAMODULATE',[status(thm)],[quotient_property,identity_divide_b,theory(equality)]) ).
cnf(24,plain,
less_equal(divide(c,divide(X,a)),divide(divide(identity,X),a)),
inference('PARAMODULATE',[status(thm)],[quotient_property,identity_divide_a,theory(equality)]) ).
cnf(25,plain,
less_equal(divide(divide(X,d),g),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,identity_divide_d,theory(equality)]),15,14,theory(equality)]) ).
cnf(26,plain,
less_equal(divide(divide(X,c),e),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,identity_divide_c,theory(equality)]),15,14,theory(equality)]) ).
cnf(27,plain,
less_equal(divide(divide(X,b),d),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,identity_divide_b,theory(equality)]),15,14,theory(equality)]) ).
cnf(28,plain,
less_equal(divide(divide(X,a),c),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,identity_divide_a,theory(equality)]),15,14,theory(equality)]) ).
cnf(33,plain,
divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,quotient_property]) ).
cnf(35,plain,
less_equal(divide(divide(X,Y),zero),divide(divide(X,zero),Y)),
inference('PARAMODULATE',[status(thm)],[quotient_property,15,theory(equality)]) ).
cnf(36,plain,
less_equal(divide(divide(X,X),divide(Y,X)),zero),
inference('PARAMODULATE',[status(thm)],[quotient_property,16,theory(equality)]) ).
cnf(37,plain,
less_equal(divide(divide(X,Y),zero),divide(divide(X,divide(Y,Z)),Y)),
inference('PARAMODULATE',[status(thm)],[quotient_property,16,theory(equality)]) ).
cnf(38,plain,
less_equal(divide(divide(divide(X,Y),Z),divide(X,Z)),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,16,theory(equality)]),15,theory(equality)]) ).
cnf(40,plain,
divide(divide(X,d),g) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,25,zero_is_smallest]) ).
cnf(46,plain,
divide(divide(X,c),e) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,26,zero_is_smallest]) ).
cnf(52,plain,
divide(divide(X,b),d) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,27,zero_is_smallest]) ).
cnf(58,plain,
divide(divide(X,a),c) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,28,zero_is_smallest]) ).
cnf(63,plain,
less_equal(divide(X,d),g),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,40]) ).
cnf(67,plain,
less_equal(divide(X,c),e),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,46]) ).
cnf(71,plain,
less_equal(divide(X,b),d),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,52]) ).
cnf(74,plain,
less_equal(divide(divide(divide(X,b),Y),divide(d,Y)),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,52,theory(equality)]),15,theory(equality)]) ).
cnf(75,plain,
less_equal(divide(X,a),c),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,58]) ).
cnf(78,plain,
less_equal(divide(divide(divide(X,a),Y),divide(c,Y)),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,58,theory(equality)]),15,theory(equality)]) ).
cnf(80,plain,
less_equal(divide(divide(X,X),zero),zero),
inference('PARAMODULATE',[status(thm)],[36,15,theory(equality)]) ).
cnf(82,plain,
divide(divide(X,X),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,80,zero_is_smallest]) ).
cnf(83,plain,
less_equal(divide(X,X),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,82]) ).
cnf(86,plain,
divide(X,X) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,83,zero_is_smallest]) ).
cnf(88,plain,
less_equal(divide(divide(X,Y),zero),divide(divide(X,Y),Y)),
inference('PARAMODULATE',[status(thm)],[quotient_property,86,theory(equality)]) ).
cnf(90,plain,
less_equal(divide(g,divide(b,d)),zero),
inference('PARAMODULATE',[status(thm)],[21,52,theory(equality)]) ).
cnf(99,plain,
divide(g,divide(b,d)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,90,zero_is_smallest]) ).
cnf(103,plain,
less_equal(g,divide(b,d)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,99]) ).
cnf(106,plain,
g = divide(b,d),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,103,63]) ).
cnf(108,plain,
divide(g,b) = zero,
inference('PARAMODULATE',[status(thm)],[16,106,theory(equality)]) ).
cnf(114,plain,
less_equal(divide(e,divide(a,c)),zero),
inference('PARAMODULATE',[status(thm)],[22,58,theory(equality)]) ).
cnf(123,plain,
divide(e,divide(a,c)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,114,zero_is_smallest]) ).
cnf(127,plain,
less_equal(e,divide(a,c)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,123]) ).
cnf(130,plain,
e = divide(a,c),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,127,67]) ).
cnf(132,plain,
divide(e,a) = zero,
inference('PARAMODULATE',[status(thm)],[16,130,theory(equality)]) ).
cnf(139,plain,
less_equal(divide(d,divide(a,b)),divide(c,b)),
inference('PARAMODULATE',[status(thm)],[23,identity_divide_a,theory(equality)]) ).
cnf(141,plain,
less_equal(divide(d,divide(c,b)),divide(e,b)),
inference('PARAMODULATE',[status(thm)],[23,identity_divide_c,theory(equality)]) ).
cnf(142,plain,
less_equal(divide(d,divide(d,b)),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23,identity_divide_d,theory(equality)]),108,theory(equality)]) ).
cnf(147,plain,
divide(d,divide(d,b)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,142,zero_is_smallest]) ).
cnf(148,plain,
less_equal(d,divide(d,b)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,147]) ).
cnf(151,plain,
d = divide(d,b),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,148,71]) ).
cnf(156,plain,
divide(divide(d,divide(c,b)),divide(e,b)) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,141]) ).
cnf(159,plain,
less_equal(divide(c,divide(b,a)),divide(d,a)),
inference('PARAMODULATE',[status(thm)],[24,identity_divide_b,theory(equality)]) ).
cnf(160,plain,
less_equal(divide(c,divide(c,a)),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24,identity_divide_c,theory(equality)]),132,theory(equality)]) ).
cnf(161,plain,
less_equal(divide(c,divide(d,a)),divide(g,a)),
inference('PARAMODULATE',[status(thm)],[24,identity_divide_d,theory(equality)]) ).
cnf(166,plain,
divide(c,divide(c,a)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,160,zero_is_smallest]) ).
cnf(167,plain,
less_equal(c,divide(c,a)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,166]) ).
cnf(170,plain,
c = divide(c,a),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,167,75]) ).
cnf(175,plain,
divide(divide(c,divide(d,a)),divide(g,a)) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,161]) ).
cnf(198,plain,
less_equal(divide(divide(X,divide(X,zero)),zero),zero),
inference('PARAMODULATE',[status(thm)],[35,86,theory(equality)]) ).
cnf(229,plain,
divide(divide(divide(X,Y),Z),divide(X,Z)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,38,zero_is_smallest]) ).
cnf(241,plain,
divide(divide(divide(X,b),Y),divide(d,Y)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,74,zero_is_smallest]) ).
cnf(242,plain,
divide(divide(divide(X,a),Y),divide(c,Y)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,78,zero_is_smallest]) ).
cnf(284,plain,
less_equal(divide(divide(divide(X,Y),divide(X,zero)),zero),zero),
inference('PARAMODULATE',[status(thm)],[35,229,theory(equality)]) ).
cnf(399,plain,
less_equal(divide(divide(divide(d,divide(c,b)),e),zero),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[37,156,theory(equality)]),15,theory(equality)]) ).
cnf(401,plain,
less_equal(divide(divide(divide(c,divide(d,a)),g),zero),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[37,175,theory(equality)]),15,theory(equality)]) ).
cnf(493,plain,
less_equal(divide(divide(X,b),Y),divide(d,Y)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,241]) ).
cnf(500,plain,
less_equal(divide(divide(X,a),Y),divide(c,Y)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,242]) ).
cnf(523,plain,
divide(divide(divide(X,Y),divide(X,zero)),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,284,zero_is_smallest]) ).
cnf(659,plain,
less_equal(divide(divide(divide(divide(X,Y),divide(Z,Y)),divide(X,Z)),zero),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[37,33,theory(equality)]),15,theory(equality)]) ).
cnf(796,plain,
divide(divide(X,divide(X,zero)),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,198,zero_is_smallest]) ).
cnf(805,plain,
divide(divide(divide(d,divide(c,b)),e),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,399,zero_is_smallest]) ).
cnf(807,plain,
divide(divide(divide(c,divide(d,a)),g),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,401,zero_is_smallest]) ).
cnf(812,plain,
less_equal(divide(divide(X,Y),divide(X,zero)),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,523]) ).
cnf(825,plain,
divide(divide(X,Y),divide(X,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,812,zero_is_smallest]) ).
cnf(1176,plain,
less_equal(divide(X,Y),divide(X,zero)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,825]) ).
cnf(1295,plain,
divide(divide(X,Y),zero) = divide(divide(X,Y),Y),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,88,1176]) ).
cnf(1310,plain,
divide(divide(divide(c,divide(d,a)),g),g) = zero,
inference('REWRITE',[status(thm)],[807,1295,theory(equality)]) ).
cnf(1312,plain,
divide(divide(divide(d,divide(c,b)),e),e) = zero,
inference('REWRITE',[status(thm)],[805,1295,theory(equality)]) ).
cnf(1392,plain,
less_equal(divide(X,divide(X,zero)),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,796]) ).
cnf(1401,plain,
divide(X,divide(X,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,1392,zero_is_smallest]) ).
cnf(1402,plain,
less_equal(X,divide(X,zero)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,1401]) ).
cnf(1411,plain,
X = divide(X,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,1402,quotient_smaller_than_numerator]) ).
cnf(1504,plain,
less_equal(divide(divide(divide(X,Y),divide(Z,Y)),divide(X,Z)),zero),
inference('REWRITE',[status(thm)],[659,1411,theory(equality)]) ).
cnf(1596,plain,
divide(X,Y) = divide(divide(X,Y),Y),
inference('REWRITE',[status(thm)],[1295,1411,theory(equality)]) ).
cnf(1640,plain,
divide(divide(d,divide(c,b)),e) = zero,
inference('REWRITE',[status(thm)],[1312,1596,theory(equality)]) ).
cnf(1648,plain,
divide(divide(c,divide(d,a)),g) = zero,
inference('REWRITE',[status(thm)],[1310,1596,theory(equality)]) ).
cnf(1716,plain,
divide(divide(d,e),divide(divide(c,b),e)) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,1640,theory(equality)]),1411,theory(equality)]) ).
cnf(1736,plain,
divide(divide(c,g),divide(divide(d,a),g)) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,1648,theory(equality)]),1411,theory(equality)]) ).
cnf(1882,plain,
divide(divide(divide(X,Y),divide(Z,Y)),divide(X,Z)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,1504,zero_is_smallest]) ).
cnf(2419,plain,
less_equal(divide(d,e),divide(divide(c,b),e)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,1716]) ).
cnf(2428,plain,
divide(d,e) = divide(divide(c,b),e),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2419,493]) ).
cnf(2429,plain,
less_equal(divide(d,e),divide(c,b)),
inference('PARAMODULATE',[status(thm)],[quotient_smaller_than_numerator,2428,theory(equality)]) ).
cnf(2471,plain,
less_equal(divide(c,g),divide(divide(d,a),g)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,1736]) ).
cnf(2480,plain,
divide(c,g) = divide(divide(d,a),g),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2471,500]) ).
cnf(2481,plain,
less_equal(divide(c,g),divide(d,a)),
inference('PARAMODULATE',[status(thm)],[quotient_smaller_than_numerator,2480,theory(equality)]) ).
cnf(2497,plain,
less_equal(divide(divide(X,Y),divide(Z,Y)),divide(X,Z)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,1882]) ).
cnf(2654,plain,
less_equal(divide(d,divide(X,b)),divide(d,X)),
inference('PARAMODULATE',[status(thm)],[2497,151,theory(equality)]) ).
cnf(2655,plain,
less_equal(divide(c,divide(X,a)),divide(c,X)),
inference('PARAMODULATE',[status(thm)],[2497,170,theory(equality)]) ).
cnf(2664,plain,
less_equal(divide(X,b),divide(X,g)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2497,108,theory(equality)]),1411,theory(equality)]) ).
cnf(2665,plain,
less_equal(divide(X,a),divide(X,e)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2497,132,theory(equality)]),1411,theory(equality)]) ).
cnf(2666,plain,
less_equal(divide(X,Y),divide(X,divide(Y,Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2497,16,theory(equality)]),1411,theory(equality)]) ).
cnf(2818,plain,
divide(d,X) = divide(d,divide(X,b)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2666,2654]) ).
cnf(2834,plain,
less_equal(divide(d,a),divide(c,b)),
inference('REWRITE',[status(thm)],[139,2818,theory(equality)]) ).
cnf(2852,plain,
divide(c,X) = divide(c,divide(X,a)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2666,2655]) ).
cnf(2868,plain,
less_equal(divide(c,b),divide(d,a)),
inference('REWRITE',[status(thm)],[159,2852,theory(equality)]) ).
cnf(2921,plain,
divide(c,b) = divide(d,a),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2868,2834]) ).
cnf(2923,plain,
less_equal(divide(c,g),divide(c,b)),
inference('REWRITE',[status(thm)],[2481,2921,theory(equality)]) ).
cnf(2954,plain,
less_equal(divide(c,b),divide(d,e)),
inference('PARAMODULATE',[status(thm)],[2665,2921,theory(equality)]) ).
cnf(2988,plain,
divide(c,g) = divide(c,b),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,2923,2664]) ).
cnf(2989,plain,
divide(c,b) != divide(d,e),
inference('REWRITE',[status(thm)],[prove_commutativity,2988,theory(equality)]) ).
cnf(3009,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,2989,2429]),2954]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HEN011-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 1 13:57:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T13:57:49
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-01T13:57:49
% 1.17/1.35
% 1.17/1.35
% 1.17/1.35 #||
% 1.17/1.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.17/1.35 % SZS output start Refutation
% See solution above
% 1.17/1.36 ||#
% 1.17/1.36
% 1.17/1.36 ; Summary of computation:
% 1.17/1.36 ; 18077 formulas have been input or derived (from 584 formulas).
% 1.17/1.36 ; 3009 (17%) were retained. Of these,
% 1.17/1.36 ; 1593 (53%) were simplified or subsumed later,
% 1.17/1.36 ; 1416 (47%) are still being kept.
% 1.17/1.36 ;
% 1.17/1.36 ; Run time in seconds excluding printing time:
% 1.17/1.36 ; 0.003 0% Read assertion file (1 call)
% 1.17/1.36 ; 0.000 0% Assert (13 calls)
% 1.17/1.36 ; 0.217 24% Process new row (15,537 calls)
% 1.17/1.36 ; 0.053 6% Resolution (1,166 calls)
% 1.17/1.36 ; 0.136 15% Paramodulation (583 calls)
% 1.17/1.36 ; 0.001 0% Condensing (67 calls)
% 1.17/1.36 ; 0.002 0% Forward subsumption (67 calls)
% 1.17/1.36 ; 0.000 0% Backward subsumption (59 calls)
% 1.17/1.36 ; 0.000 0% Clause clause subsumption (47 calls)
% 1.17/1.36 ; 0.288 32% Forward simplification (14,457 calls)
% 1.17/1.36 ; 0.098 11% Backward simplification (3,009 calls)
% 1.17/1.36 ; 0.015 2% Ordering (15,310 calls)
% 1.17/1.36 ; 0.000 0% Sortal reasoning (32 calls)
% 1.17/1.36 ; 0.001 0% Purity testing (1 call)
% 1.17/1.36 ; 0.074 8% Other
% 1.17/1.36 ; 0.888 Total
% 1.17/1.36 ; 0.897 Real time
% 1.17/1.36 ;
% 1.17/1.36 ; Term-hash-array has 5,781 terms in all.
% 1.17/1.36 ; Feature-vector-row-index has 44 entries (44 at peak, 59 added, 15 deleted).
% 1.17/1.36 ; Feature-vector-row-index has 287 nodes (287 at peak, 393 added, 106 deleted).
% 1.17/1.36 ; Retrieved 38 possibly forward subsuming rows in 67 calls.
% 1.17/1.36 ; Retrieved 9 possibly backward subsumed rows in 59 calls.
% 1.17/1.36 ; Path-index has 2,972 entries (3,177 at peak, 6,158 added, 3,186 deleted).
% 1.17/1.36 ; Path-index has 989 nodes (1,079 at peak, 1,962 added, 973 deleted).
% 1.17/1.36 ; Trie-index has 2,972 entries (3,177 at peak, 6,158 added, 3,186 deleted).
% 1.17/1.36 ; Trie-index has 11,950 nodes (12,724 at peak, 26,721 added, 14,771 deleted).
% 1.17/1.36 ; Retrieved 80,651 generalization terms in 58,420 calls.
% 1.17/1.36 ; Retrieved 6,884 instance terms in 2,951 calls.
% 1.17/1.36 ; Retrieved 36,492 unifiable terms in 7,931 calls.
% 1.17/1.36 ;
% 1.17/1.36 ; The agenda of rows to give has 1127 entries:
% 1.17/1.36 ; 4 with value (4 18) 182 with value (4 24) 59 with value (4 29)
% 1.17/1.36 ; 22 with value (4 19) 132 with value (4 25) 33 with value (4 30)
% 1.17/1.36 ; 20 with value (4 20) 115 with value (4 26) 37 with value (4 31)
% 1.17/1.36 ; 62 with value (4 21) 71 with value (4 27) 14 with value (4 32)
% 1.17/1.36 ; 89 with value (4 22) 102 with value (4 28) 11 with value (4 33)
% 1.17/1.36 ; 174 with value (4 23)
% 1.17/1.36 Evaluation took:
% 1.17/1.36 0.898 seconds of real time
% 1.17/1.36 0.807236 seconds of user run time
% 1.17/1.36 0.090239 seconds of system run time
% 1.17/1.36 [Run times include 0.067 seconds GC run time.]
% 1.17/1.36 0 calls to %EVAL
% 1.17/1.36 0 page faults and
% 1.17/1.36 71,937,488 bytes consed.
% 1.17/1.36 :PROOF-FOUND
% 1.17/1.36 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T13:57:50
% 1.17/1.36 :PROOF-FOUND
% 1.17/1.36 *
%------------------------------------------------------------------------------