TSTP Solution File: TOP053-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : TOP053-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 : Tue Apr 30 20:55:18 EDT 2024
% Result : Unsatisfiable 0.21s 0.43s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 18
% Syntax : Number of formulae : 179 ( 179 unt; 0 def)
% Number of atoms : 179 ( 178 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 33 ( 33 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-14 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : product(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : product(product(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : product(product(X,Y),Z) = product(product(X,Z),product(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
product(a1,a2) = a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
product(a3,a4) = a5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
product(a5,a6) = a7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
product(a7,a3) = a8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
product(a8,a2) = a9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
product(a9,a1) = a10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
product(a12,a3) = a13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
product(a13,a8) = a6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
product(a6,a7) = a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
product(a2,a12) = a14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
product(a14,a3) = a15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
product(a15,a8) = a4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
product(a4,a7) = a11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
product(a11,a10) = a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X0] : product(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f21,plain,
! [X0,X1] : product(product(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f22,plain,
! [X0,X1,X2] : product(product(X0,X1),X2) = product(product(X0,X2),product(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f23,plain,
product(a1,a2) = a3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f24,plain,
product(a3,a4) = a5,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f25,plain,
product(a5,a6) = a7,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f26,plain,
product(a7,a3) = a8,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f27,plain,
product(a8,a2) = a9,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f28,plain,
product(a9,a1) = a10,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f30,plain,
product(a12,a3) = a13,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f31,plain,
product(a13,a8) = a6,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f32,plain,
product(a6,a7) = a2,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f33,plain,
product(a2,a12) = a14,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f34,plain,
product(a14,a3) = a15,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f35,plain,
product(a15,a8) = a4,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f36,plain,
product(a4,a7) = a11,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f37,plain,
product(a11,a10) = a1,
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f38,plain,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f39,plain,
product(a1,a10) = a11,
inference(paramodulation,[status(thm)],[f37,f21]) ).
fof(f40,plain,
product(a11,a7) = a4,
inference(paramodulation,[status(thm)],[f36,f21]) ).
fof(f41,plain,
product(a4,a8) = a15,
inference(paramodulation,[status(thm)],[f35,f21]) ).
fof(f42,plain,
product(a15,a3) = a14,
inference(paramodulation,[status(thm)],[f34,f21]) ).
fof(f43,plain,
product(a14,a12) = a2,
inference(paramodulation,[status(thm)],[f33,f21]) ).
fof(f44,plain,
product(a2,a7) = a6,
inference(paramodulation,[status(thm)],[f32,f21]) ).
fof(f45,plain,
product(a6,a8) = a13,
inference(paramodulation,[status(thm)],[f31,f21]) ).
fof(f46,plain,
product(a13,a3) = a12,
inference(paramodulation,[status(thm)],[f30,f21]) ).
fof(f48,plain,
product(a10,a1) = a9,
inference(paramodulation,[status(thm)],[f28,f21]) ).
fof(f50,plain,
product(a8,a3) = a7,
inference(paramodulation,[status(thm)],[f26,f21]) ).
fof(f51,plain,
product(a7,a6) = a5,
inference(paramodulation,[status(thm)],[f25,f21]) ).
fof(f53,plain,
product(a3,a2) = a1,
inference(paramodulation,[status(thm)],[f23,f21]) ).
fof(f72,plain,
! [X0,X1,X2] : product(product(product(X0,X1),X2),X1) = product(X0,product(X2,X1)),
inference(paramodulation,[status(thm)],[f21,f22]) ).
fof(f73,plain,
! [X0] : product(product(a11,X0),a7) = product(a4,product(X0,a7)),
inference(paramodulation,[status(thm)],[f40,f22]) ).
fof(f78,plain,
! [X0] : product(product(a15,X0),a8) = product(a4,product(X0,a8)),
inference(paramodulation,[status(thm)],[f35,f22]) ).
fof(f80,plain,
! [X0] : product(product(a14,X0),a3) = product(a15,product(X0,a3)),
inference(paramodulation,[status(thm)],[f34,f22]) ).
fof(f94,plain,
! [X0] : product(product(a8,X0),a2) = product(a9,product(X0,a2)),
inference(paramodulation,[status(thm)],[f27,f22]) ).
fof(f102,plain,
! [X0] : product(product(a1,X0),a2) = product(a3,product(X0,a2)),
inference(paramodulation,[status(thm)],[f23,f22]) ).
fof(f103,plain,
! [X0,X1] : product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(paramodulation,[status(thm)],[f20,f22]) ).
fof(f587,plain,
product(a2,a3) = product(a15,product(a12,a3)),
inference(paramodulation,[status(thm)],[f43,f80]) ).
fof(f588,plain,
product(a2,a3) = product(a15,a13),
inference(forward_demodulation,[status(thm)],[f30,f587]) ).
fof(f633,plain,
product(product(a2,a3),a8) = product(a4,product(a13,a8)),
inference(paramodulation,[status(thm)],[f588,f78]) ).
fof(f634,plain,
product(product(a2,a3),a8) = product(a4,a6),
inference(forward_demodulation,[status(thm)],[f31,f633]) ).
fof(f685,plain,
product(a15,a4) = product(a4,product(a8,a4)),
inference(paramodulation,[status(thm)],[f41,f103]) ).
fof(f696,plain,
product(a6,a2) = product(a2,product(a7,a2)),
inference(paramodulation,[status(thm)],[f44,f103]) ).
fof(f698,plain,
product(a13,a6) = product(a6,product(a8,a6)),
inference(paramodulation,[status(thm)],[f45,f103]) ).
fof(f715,plain,
product(a5,a7) = product(a7,product(a6,a7)),
inference(paramodulation,[status(thm)],[f51,f103]) ).
fof(f716,plain,
product(a5,a7) = product(a7,a2),
inference(forward_demodulation,[status(thm)],[f32,f715]) ).
fof(f793,plain,
product(product(a5,a7),a2) = a7,
inference(paramodulation,[status(thm)],[f716,f21]) ).
fof(f933,plain,
product(product(a4,a6),a3) = product(a2,product(a8,a3)),
inference(paramodulation,[status(thm)],[f634,f72]) ).
fof(f934,plain,
product(product(a4,a6),a3) = product(a2,a7),
inference(forward_demodulation,[status(thm)],[f50,f933]) ).
fof(f935,plain,
product(product(a4,a6),a3) = a6,
inference(forward_demodulation,[status(thm)],[f44,f934]) ).
fof(f947,plain,
product(a6,a6) = product(a4,product(a3,a6)),
inference(paramodulation,[status(thm)],[f935,f72]) ).
fof(f948,plain,
a6 = product(a4,product(a3,a6)),
inference(forward_demodulation,[status(thm)],[f20,f947]) ).
fof(f971,plain,
product(a6,product(a3,a6)) = a4,
inference(paramodulation,[status(thm)],[f948,f21]) ).
fof(f1192,plain,
product(a6,a2) = product(a2,product(a5,a7)),
inference(forward_demodulation,[status(thm)],[f716,f696]) ).
fof(f1254,plain,
product(a7,a2) = product(a9,product(a3,a2)),
inference(paramodulation,[status(thm)],[f50,f94]) ).
fof(f1255,plain,
product(a5,a7) = product(a9,product(a3,a2)),
inference(forward_demodulation,[status(thm)],[f716,f1254]) ).
fof(f1256,plain,
product(a5,a7) = product(a9,a1),
inference(forward_demodulation,[status(thm)],[f53,f1255]) ).
fof(f1257,plain,
product(a5,a7) = a10,
inference(forward_demodulation,[status(thm)],[f28,f1256]) ).
fof(f1277,plain,
product(a6,a2) = product(a2,a10),
inference(backward_demodulation,[status(thm)],[f1257,f1192]) ).
fof(f1278,plain,
product(a10,a2) = a7,
inference(backward_demodulation,[status(thm)],[f1257,f793]) ).
fof(f1287,plain,
product(a10,a7) = a5,
inference(paramodulation,[status(thm)],[f1257,f21]) ).
fof(f1609,plain,
product(a11,a2) = product(a3,product(a10,a2)),
inference(paramodulation,[status(thm)],[f39,f102]) ).
fof(f1610,plain,
product(a11,a2) = product(a3,a7),
inference(forward_demodulation,[status(thm)],[f1278,f1609]) ).
fof(f1631,plain,
product(product(a3,a7),a7) = product(a4,product(a2,a7)),
inference(paramodulation,[status(thm)],[f1610,f73]) ).
fof(f1632,plain,
a3 = product(a4,product(a2,a7)),
inference(forward_demodulation,[status(thm)],[f21,f1631]) ).
fof(f1633,plain,
a3 = product(a4,a6),
inference(forward_demodulation,[status(thm)],[f44,f1632]) ).
fof(f1643,plain,
product(a3,a3) = a6,
inference(backward_demodulation,[status(thm)],[f1633,f935]) ).
fof(f1644,plain,
a3 = a6,
inference(forward_demodulation,[status(thm)],[f20,f1643]) ).
fof(f1667,plain,
product(a13,a6) = product(a6,product(a8,a3)),
inference(backward_demodulation,[status(thm)],[f1644,f698]) ).
fof(f1668,plain,
product(a13,a3) = product(a6,product(a8,a3)),
inference(forward_demodulation,[status(thm)],[f1644,f1667]) ).
fof(f1669,plain,
a12 = product(a6,product(a8,a3)),
inference(forward_demodulation,[status(thm)],[f46,f1668]) ).
fof(f1670,plain,
a12 = product(a3,product(a8,a3)),
inference(forward_demodulation,[status(thm)],[f1644,f1669]) ).
fof(f1671,plain,
a12 = product(a3,a7),
inference(forward_demodulation,[status(thm)],[f50,f1670]) ).
fof(f1672,plain,
product(a3,a2) = product(a2,a10),
inference(backward_demodulation,[status(thm)],[f1644,f1277]) ).
fof(f1673,plain,
a1 = product(a2,a10),
inference(forward_demodulation,[status(thm)],[f53,f1672]) ).
fof(f1674,plain,
product(a6,product(a3,a3)) = a4,
inference(backward_demodulation,[status(thm)],[f1644,f971]) ).
fof(f1675,plain,
product(a3,product(a3,a3)) = a4,
inference(forward_demodulation,[status(thm)],[f1644,f1674]) ).
fof(f1676,plain,
product(a3,a3) = a4,
inference(forward_demodulation,[status(thm)],[f20,f1675]) ).
fof(f1677,plain,
a3 = a4,
inference(forward_demodulation,[status(thm)],[f20,f1676]) ).
fof(f1688,plain,
product(a7,a3) = a5,
inference(backward_demodulation,[status(thm)],[f1644,f51]) ).
fof(f1689,plain,
a8 = a5,
inference(forward_demodulation,[status(thm)],[f26,f1688]) ).
fof(f1692,plain,
product(a3,a7) = a2,
inference(backward_demodulation,[status(thm)],[f1644,f32]) ).
fof(f1693,plain,
product(a13,a8) = a3,
inference(backward_demodulation,[status(thm)],[f1644,f31]) ).
fof(f1694,plain,
product(a5,a3) = a7,
inference(backward_demodulation,[status(thm)],[f1644,f25]) ).
fof(f1695,plain,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(backward_demodulation,[status(thm)],[f1644,f38]) ).
fof(f1696,plain,
tuple(a1,a2,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(forward_demodulation,[status(thm)],[f1644,f1695]) ).
fof(f1707,plain,
product(a15,a4) = product(a4,product(a8,a3)),
inference(backward_demodulation,[status(thm)],[f1677,f685]) ).
fof(f1708,plain,
product(a15,a3) = product(a4,product(a8,a3)),
inference(forward_demodulation,[status(thm)],[f1677,f1707]) ).
fof(f1709,plain,
a14 = product(a4,product(a8,a3)),
inference(forward_demodulation,[status(thm)],[f42,f1708]) ).
fof(f1710,plain,
a14 = product(a3,product(a8,a3)),
inference(forward_demodulation,[status(thm)],[f1677,f1709]) ).
fof(f1711,plain,
a14 = product(a3,a7),
inference(forward_demodulation,[status(thm)],[f50,f1710]) ).
fof(f1726,plain,
product(a3,a3) = a5,
inference(backward_demodulation,[status(thm)],[f1677,f24]) ).
fof(f1727,plain,
a3 = a5,
inference(forward_demodulation,[status(thm)],[f20,f1726]) ).
fof(f1740,plain,
a8 = a3,
inference(backward_demodulation,[status(thm)],[f1727,f1689]) ).
fof(f1741,plain,
product(a10,a7) = a3,
inference(backward_demodulation,[status(thm)],[f1727,f1287]) ).
fof(f1758,plain,
product(a13,a3) = a3,
inference(forward_demodulation,[status(thm)],[f1740,f1693]) ).
fof(f1759,plain,
a12 = a3,
inference(forward_demodulation,[status(thm)],[f46,f1758]) ).
fof(f1792,plain,
product(a14,a3) = a2,
inference(backward_demodulation,[status(thm)],[f1759,f43]) ).
fof(f1793,plain,
a15 = a2,
inference(forward_demodulation,[status(thm)],[f34,f1792]) ).
fof(f1795,plain,
product(a3,a3) = a13,
inference(backward_demodulation,[status(thm)],[f1759,f30]) ).
fof(f1796,plain,
a3 = a13,
inference(forward_demodulation,[status(thm)],[f20,f1795]) ).
fof(f1809,plain,
a3 = product(a3,a7),
inference(forward_demodulation,[status(thm)],[f1759,f1671]) ).
fof(f1810,plain,
a3 = a2,
inference(forward_demodulation,[status(thm)],[f1692,f1809]) ).
fof(f1811,plain,
a2 = a13,
inference(backward_demodulation,[status(thm)],[f1810,f1796]) ).
fof(f1812,plain,
a12 = a2,
inference(backward_demodulation,[status(thm)],[f1810,f1759]) ).
fof(f1814,plain,
a8 = a2,
inference(backward_demodulation,[status(thm)],[f1810,f1740]) ).
fof(f1815,plain,
a2 = a5,
inference(backward_demodulation,[status(thm)],[f1810,f1727]) ).
fof(f1816,plain,
a2 = a4,
inference(backward_demodulation,[status(thm)],[f1810,f1677]) ).
fof(f1819,plain,
product(a2,a2) = a1,
inference(backward_demodulation,[status(thm)],[f1810,f53]) ).
fof(f1820,plain,
a2 = a1,
inference(forward_demodulation,[status(thm)],[f20,f1819]) ).
fof(f1823,plain,
a1 = a4,
inference(backward_demodulation,[status(thm)],[f1820,f1816]) ).
fof(f1824,plain,
a1 = a5,
inference(backward_demodulation,[status(thm)],[f1820,f1815]) ).
fof(f1825,plain,
a8 = a1,
inference(backward_demodulation,[status(thm)],[f1820,f1814]) ).
fof(f1826,plain,
a12 = a1,
inference(backward_demodulation,[status(thm)],[f1820,f1812]) ).
fof(f1827,plain,
a1 = a13,
inference(backward_demodulation,[status(thm)],[f1820,f1811]) ).
fof(f1828,plain,
a3 = a1,
inference(backward_demodulation,[status(thm)],[f1820,f1810]) ).
fof(f1829,plain,
a15 = a1,
inference(backward_demodulation,[status(thm)],[f1820,f1793]) ).
fof(f1831,plain,
product(a10,a1) = a7,
inference(backward_demodulation,[status(thm)],[f1820,f1278]) ).
fof(f1832,plain,
a9 = a7,
inference(forward_demodulation,[status(thm)],[f48,f1831]) ).
fof(f1833,plain,
product(a1,a3) = a7,
inference(forward_demodulation,[status(thm)],[f1824,f1694]) ).
fof(f1842,plain,
tuple(a1,a1,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(forward_demodulation,[status(thm)],[f1820,f1696]) ).
fof(f1843,plain,
tuple(a1,a1,a3,a1,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(forward_demodulation,[status(thm)],[f1823,f1842]) ).
fof(f1844,plain,
tuple(a1,a1,a3,a1,a1,a3,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(forward_demodulation,[status(thm)],[f1824,f1843]) ).
fof(f1845,plain,
tuple(a1,a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(forward_demodulation,[status(thm)],[f1825,f1844]) ).
fof(f1846,plain,
tuple(a1,a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a1,a13,a14) != tuple(a2,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(forward_demodulation,[status(thm)],[f1826,f1845]) ).
fof(f1847,plain,
tuple(a1,a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a1,a13,a14) != tuple(a1,a3,a4,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(forward_demodulation,[status(thm)],[f1820,f1846]) ).
fof(f1848,plain,
tuple(a1,a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a1,a13,a14) != tuple(a1,a3,a1,a5,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(forward_demodulation,[status(thm)],[f1823,f1847]) ).
fof(f1849,plain,
tuple(a1,a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a1,a13,a14) != tuple(a1,a3,a1,a1,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(forward_demodulation,[status(thm)],[f1824,f1848]) ).
fof(f1850,plain,
tuple(a1,a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a1,a13,a14) != tuple(a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a12,a13,a14,a15),
inference(forward_demodulation,[status(thm)],[f1825,f1849]) ).
fof(f1851,plain,
tuple(a1,a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a1,a13,a14) != tuple(a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a1,a13,a14,a15),
inference(forward_demodulation,[status(thm)],[f1826,f1850]) ).
fof(f1860,plain,
tuple(a1,a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a1,a13,a14) != tuple(a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a1,a1,a14,a15),
inference(backward_demodulation,[status(thm)],[f1827,f1851]) ).
fof(f1861,plain,
tuple(a1,a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a1,a1,a14) != tuple(a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a1,a1,a14,a15),
inference(forward_demodulation,[status(thm)],[f1827,f1860]) ).
fof(f1862,plain,
tuple(a1,a1,a3,a1,a1,a3,a7,a1,a9,a10,a11,a1,a1,a14) != tuple(a1,a3,a1,a1,a1,a7,a1,a9,a10,a11,a1,a1,a14,a15),
inference(backward_demodulation,[status(thm)],[f1828,f1861]) ).
fof(f1863,plain,
tuple(a1,a1,a1,a1,a1,a3,a7,a1,a9,a10,a11,a1,a1,a14) != tuple(a1,a3,a1,a1,a1,a7,a1,a9,a10,a11,a1,a1,a14,a15),
inference(forward_demodulation,[status(thm)],[f1828,f1862]) ).
fof(f1864,plain,
tuple(a1,a1,a1,a1,a1,a1,a7,a1,a9,a10,a11,a1,a1,a14) != tuple(a1,a3,a1,a1,a1,a7,a1,a9,a10,a11,a1,a1,a14,a15),
inference(forward_demodulation,[status(thm)],[f1828,f1863]) ).
fof(f1865,plain,
tuple(a1,a1,a1,a1,a1,a1,a7,a1,a9,a10,a11,a1,a1,a14) != tuple(a1,a1,a1,a1,a1,a7,a1,a9,a10,a11,a1,a1,a14,a15),
inference(forward_demodulation,[status(thm)],[f1828,f1864]) ).
fof(f1867,plain,
product(a1,a1) = a7,
inference(backward_demodulation,[status(thm)],[f1828,f1833]) ).
fof(f1868,plain,
a1 = a7,
inference(forward_demodulation,[status(thm)],[f20,f1867]) ).
fof(f1869,plain,
tuple(a1,a1,a1,a1,a1,a1,a7,a1,a9,a10,a11,a1,a1,a14) != tuple(a1,a1,a1,a1,a1,a7,a1,a9,a10,a11,a1,a1,a14,a1),
inference(backward_demodulation,[status(thm)],[f1829,f1865]) ).
fof(f1870,plain,
tuple(a1,a1,a1,a1,a1,a1,a7,a1,a9,a10,a11,a1,a1,a14) != tuple(a1,a1,a1,a1,a1,a7,a1,a7,a10,a11,a1,a1,a14,a1),
inference(backward_demodulation,[status(thm)],[f1832,f1869]) ).
fof(f1871,plain,
tuple(a1,a1,a1,a1,a1,a1,a7,a1,a7,a10,a11,a1,a1,a14) != tuple(a1,a1,a1,a1,a1,a7,a1,a7,a10,a11,a1,a1,a14,a1),
inference(forward_demodulation,[status(thm)],[f1832,f1870]) ).
fof(f1880,plain,
a1 = product(a1,a10),
inference(forward_demodulation,[status(thm)],[f1820,f1673]) ).
fof(f1881,plain,
a1 = a11,
inference(forward_demodulation,[status(thm)],[f39,f1880]) ).
fof(f1894,plain,
a14 = product(a1,a7),
inference(forward_demodulation,[status(thm)],[f1828,f1711]) ).
fof(f1895,plain,
a14 = product(a1,a1),
inference(forward_demodulation,[status(thm)],[f1868,f1894]) ).
fof(f1896,plain,
a14 = a1,
inference(forward_demodulation,[status(thm)],[f20,f1895]) ).
fof(f1926,plain,
product(a10,a1) = a3,
inference(forward_demodulation,[status(thm)],[f1868,f1741]) ).
fof(f1927,plain,
product(a10,a1) = a1,
inference(forward_demodulation,[status(thm)],[f1828,f1926]) ).
fof(f1939,plain,
product(a1,a1) = a10,
inference(paramodulation,[status(thm)],[f1927,f21]) ).
fof(f1940,plain,
a1 = a10,
inference(forward_demodulation,[status(thm)],[f20,f1939]) ).
fof(f1972,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a7,a10,a11,a1,a1,a14) != tuple(a1,a1,a1,a1,a1,a7,a1,a7,a10,a11,a1,a1,a14,a1),
inference(forward_demodulation,[status(thm)],[f1868,f1871]) ).
fof(f1973,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a1,a1,a14) != tuple(a1,a1,a1,a1,a1,a7,a1,a7,a10,a11,a1,a1,a14,a1),
inference(forward_demodulation,[status(thm)],[f1868,f1972]) ).
fof(f1974,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a1,a1,a14) != tuple(a1,a1,a1,a1,a1,a7,a1,a7,a10,a11,a1,a1,a14,a1),
inference(forward_demodulation,[status(thm)],[f1940,f1973]) ).
fof(f1975,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14) != tuple(a1,a1,a1,a1,a1,a7,a1,a7,a10,a11,a1,a1,a14,a1),
inference(forward_demodulation,[status(thm)],[f1881,f1974]) ).
fof(f1976,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a7,a1,a7,a10,a11,a1,a1,a14,a1),
inference(forward_demodulation,[status(thm)],[f1896,f1975]) ).
fof(f1977,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a7,a10,a11,a1,a1,a14,a1),
inference(forward_demodulation,[status(thm)],[f1868,f1976]) ).
fof(f1978,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a1,a1,a14,a1),
inference(forward_demodulation,[status(thm)],[f1868,f1977]) ).
fof(f1979,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a1,a1,a14,a1),
inference(forward_demodulation,[status(thm)],[f1940,f1978]) ).
fof(f1980,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a1),
inference(forward_demodulation,[status(thm)],[f1881,f1979]) ).
fof(f1981,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[status(thm)],[f1896,f1980]) ).
fof(f1982,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1981]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : TOP053-1 : TPTP v8.1.2. Released v8.1.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:19:03 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.36 % Drodi V3.6.0
% 0.21/0.43 % Refutation found
% 0.21/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.45 % Elapsed time: 0.093494 seconds
% 0.21/0.45 % CPU time: 0.653885 seconds
% 0.21/0.45 % Total memory used: 27.026 MB
% 0.21/0.45 % Net memory used: 26.652 MB
%------------------------------------------------------------------------------