%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS011-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 : Thu Sep 24 01:00:05 PM UTC 2026
% Result : Satisfiable 0.13s 0.37s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
f(exists),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ g(exists),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X1,X2] :
( ~ r1(X1,X2)
| r(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X1,X2] :
( ~ r2(X1,X2)
| r(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X1,X2] :
( ~ r3(X1,X2)
| r(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X1,X2] :
( ~ t1(X1,X2)
| t(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X1,X2] :
( ~ t2(X1,X2)
| t(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X1,X2] :
( ~ t3(X1,X2)
| t(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X1] :
( ~ e(X1)
| ~ c(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X1] :
( ~ d(X1)
| ~ c(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X1] :
( ~ e(X1)
| ~ d(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X1] :
( ~ f1(X1)
| c(u9r5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X1] :
( ~ f1(X1)
| t1(u9r4(X1),u9r5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X5,X4,X3,X1] :
( ~ t(u9r4(X1),X3)
| ~ t(u9r4(X1),X4)
| ~ t(u9r4(X1),X5)
| ~ f1(X1)
| equalish(X4,X3)
| equalish(X5,X3)
| equalish(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X1] :
( ~ f1(X1)
| r1(X1,u9r4(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X1,X2,X6] :
( ~ c(X6)
| ~ t1(X2,X6)
| ~ equalish(u9r2(X2,X1),u9r1(X2,X1))
| ~ r1(X1,X2)
| f1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X1,X2,X6] :
( ~ c(X6)
| ~ t1(X2,X6)
| ~ equalish(u9r3(X2,X1),u9r1(X2,X1))
| ~ r1(X1,X2)
| f1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X1,X2,X6] :
( ~ c(X6)
| ~ t1(X2,X6)
| ~ equalish(u9r3(X2,X1),u9r2(X2,X1))
| ~ r1(X1,X2)
| f1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X1,X2,X6] :
( ~ c(X6)
| ~ t1(X2,X6)
| ~ r1(X1,X2)
| t(X2,u9r1(X2,X1))
| f1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X1,X2,X6] :
( ~ c(X6)
| ~ t1(X2,X6)
| ~ r1(X1,X2)
| t(X2,u9r2(X2,X1))
| f1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X1,X2,X6] :
( ~ c(X6)
| ~ t1(X2,X6)
| ~ r1(X1,X2)
| t(X2,u9r3(X2,X1))
| f1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X1] :
( ~ f2(X1)
| d(u10r5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X1] :
( ~ f2(X1)
| t2(u10r4(X1),u10r5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X5,X4,X3,X1] :
( ~ t(u10r4(X1),X3)
| ~ t(u10r4(X1),X4)
| ~ t(u10r4(X1),X5)
| ~ f2(X1)
| equalish(X4,X3)
| equalish(X5,X3)
| equalish(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X1] :
( ~ f2(X1)
| r2(X1,u10r4(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X1,X2,X6] :
( ~ d(X6)
| ~ t2(X2,X6)
| ~ equalish(u10r2(X2,X1),u10r1(X2,X1))
| ~ r2(X1,X2)
| f2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X1,X2,X6] :
( ~ d(X6)
| ~ t2(X2,X6)
| ~ equalish(u10r3(X2,X1),u10r1(X2,X1))
| ~ r2(X1,X2)
| f2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X1,X2,X6] :
( ~ d(X6)
| ~ t2(X2,X6)
| ~ equalish(u10r3(X2,X1),u10r2(X2,X1))
| ~ r2(X1,X2)
| f2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X1,X2,X6] :
( ~ d(X6)
| ~ t2(X2,X6)
| ~ r2(X1,X2)
| t(X2,u10r1(X2,X1))
| f2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X1,X2,X6] :
( ~ d(X6)
| ~ t2(X2,X6)
| ~ r2(X1,X2)
| t(X2,u10r2(X2,X1))
| f2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X1,X2,X6] :
( ~ d(X6)
| ~ t2(X2,X6)
| ~ r2(X1,X2)
| t(X2,u10r3(X2,X1))
| f2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X1] :
( ~ f3(X1)
| e(u11r5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X1] :
( ~ f3(X1)
| t3(u11r4(X1),u11r5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X5,X4,X3,X1] :
( ~ t(u11r4(X1),X3)
| ~ t(u11r4(X1),X4)
| ~ t(u11r4(X1),X5)
| ~ f3(X1)
| equalish(X4,X3)
| equalish(X5,X3)
| equalish(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X1] :
( ~ f3(X1)
| r3(X1,u11r4(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X1,X2,X6] :
( ~ e(X6)
| ~ t3(X2,X6)
| ~ equalish(u11r2(X2,X1),u11r1(X2,X1))
| ~ r3(X1,X2)
| f3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X1,X2,X6] :
( ~ e(X6)
| ~ t3(X2,X6)
| ~ equalish(u11r3(X2,X1),u11r1(X2,X1))
| ~ r3(X1,X2)
| f3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X1,X2,X6] :
( ~ e(X6)
| ~ t3(X2,X6)
| ~ equalish(u11r3(X2,X1),u11r2(X2,X1))
| ~ r3(X1,X2)
| f3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X1,X2,X6] :
( ~ e(X6)
| ~ t3(X2,X6)
| ~ r3(X1,X2)
| t(X2,u11r1(X2,X1))
| f3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X1,X2,X6] :
( ~ e(X6)
| ~ t3(X2,X6)
| ~ r3(X1,X2)
| t(X2,u11r2(X2,X1))
| f3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [X1,X2,X6] :
( ~ e(X6)
| ~ t3(X2,X6)
| ~ r3(X1,X2)
| t(X2,u11r3(X2,X1))
| f3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X1] :
( ~ f(X1)
| f3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [X1] :
( ~ f(X1)
| f2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [X1] :
( ~ f(X1)
| f1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [X1] :
( ~ f3(X1)
| ~ f2(X1)
| ~ f1(X1)
| f(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [X1] :
( ~ g(X1)
| r2least(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [X1] :
( ~ r2least(X1)
| g(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [X1] :
( ~ equalish(u14r2(X1),u14r1(X1))
| ~ r2least(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [X1] :
( ~ r2least(X1)
| r(X1,u14r1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [X1] :
( ~ r2least(X1)
| r(X1,u14r2(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [X1,X3,X2] :
( ~ r(X1,X2)
| ~ r(X1,X3)
| equalish(X3,X2)
| r2least(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,plain,
f(exists),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f56,plain,
~ g(exists),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f58,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| r(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
! [X0,X1] :
( ~ r3(X0,X1)
| r(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f60,plain,
! [X0,X1] :
( ~ t1(X0,X1)
| t(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f61,plain,
! [X0,X1] :
( ~ t2(X0,X1)
| t(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f62,plain,
! [X0,X1] :
( ~ t3(X0,X1)
| t(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f63,plain,
! [X0] :
( ~ e(X0)
| ~ c(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f64,plain,
! [X0] :
( ~ d(X0)
| ~ c(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f65,plain,
! [X0] :
( ~ e(X0)
| ~ d(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f69,plain,
! [X0] :
( ~ f1(X0)
| c(u9r5(X0)) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f70,plain,
! [X0] :
( ~ f1(X0)
| t1(u9r4(X0),u9r5(X0)) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f71,plain,
! [X3,X1] :
( ~ t(u9r4(X1),X3)
| ! [X4] :
( ~ t(u9r4(X1),X4)
| ! [X5] :
( ~ t(u9r4(X1),X5)
| ~ f1(X1)
| equalish(X4,X3)
| equalish(X5,X3)
| equalish(X5,X4) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ~ t(u9r4(X3),X2)
| ~ t(u9r4(X3),X1)
| ~ t(u9r4(X3),X0)
| ~ f1(X3)
| equalish(X1,X2)
| equalish(X0,X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [X0] :
( ~ f1(X0)
| r1(X0,u9r4(X0)) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f74,plain,
! [X6] :
( ~ c(X6)
| ! [X2] :
( ~ t1(X2,X6)
| ! [X1] :
( ~ equalish(u9r2(X2,X1),u9r1(X2,X1))
| ~ r1(X1,X2)
| f1(X1) ) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ c(X2)
| ~ t1(X1,X2)
| ~ equalish(u9r2(X1,X0),u9r1(X1,X0))
| ~ r1(X0,X1)
| f1(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f76,plain,
! [X6] :
( ~ c(X6)
| ! [X2] :
( ~ t1(X2,X6)
| ! [X1] :
( ~ equalish(u9r3(X2,X1),u9r1(X2,X1))
| ~ r1(X1,X2)
| f1(X1) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ c(X2)
| ~ t1(X1,X2)
| ~ equalish(u9r3(X1,X0),u9r1(X1,X0))
| ~ r1(X0,X1)
| f1(X0) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f78,plain,
! [X6] :
( ~ c(X6)
| ! [X2] :
( ~ t1(X2,X6)
| ! [X1] :
( ~ equalish(u9r3(X2,X1),u9r2(X2,X1))
| ~ r1(X1,X2)
| f1(X1) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ c(X2)
| ~ t1(X1,X2)
| ~ equalish(u9r3(X1,X0),u9r2(X1,X0))
| ~ r1(X0,X1)
| f1(X0) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f80,plain,
! [X6] :
( ~ c(X6)
| ! [X2] :
( ~ t1(X2,X6)
| ! [X1] :
( ~ r1(X1,X2)
| t(X2,u9r1(X2,X1))
| f1(X1) ) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ c(X2)
| ~ t1(X1,X2)
| ~ r1(X0,X1)
| t(X1,u9r1(X1,X0))
| f1(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,plain,
! [X6] :
( ~ c(X6)
| ! [X2] :
( ~ t1(X2,X6)
| ! [X1] :
( ~ r1(X1,X2)
| t(X2,u9r2(X2,X1))
| f1(X1) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ c(X2)
| ~ t1(X1,X2)
| ~ r1(X0,X1)
| t(X1,u9r2(X1,X0))
| f1(X0) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f84,plain,
! [X6] :
( ~ c(X6)
| ! [X2] :
( ~ t1(X2,X6)
| ! [X1] :
( ~ r1(X1,X2)
| t(X2,u9r3(X2,X1))
| f1(X1) ) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ c(X2)
| ~ t1(X1,X2)
| ~ r1(X0,X1)
| t(X1,u9r3(X1,X0))
| f1(X0) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f86,plain,
! [X0] :
( ~ f2(X0)
| d(u10r5(X0)) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f87,plain,
! [X0] :
( ~ f2(X0)
| t2(u10r4(X0),u10r5(X0)) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f88,plain,
! [X3,X1] :
( ~ t(u10r4(X1),X3)
| ! [X4] :
( ~ t(u10r4(X1),X4)
| ! [X5] :
( ~ t(u10r4(X1),X5)
| ~ f2(X1)
| equalish(X4,X3)
| equalish(X5,X3)
| equalish(X5,X4) ) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ~ t(u10r4(X3),X2)
| ~ t(u10r4(X3),X1)
| ~ t(u10r4(X3),X0)
| ~ f2(X3)
| equalish(X1,X2)
| equalish(X0,X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f90,plain,
! [X0] :
( ~ f2(X0)
| r2(X0,u10r4(X0)) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f91,plain,
! [X6] :
( ~ d(X6)
| ! [X2] :
( ~ t2(X2,X6)
| ! [X1] :
( ~ equalish(u10r2(X2,X1),u10r1(X2,X1))
| ~ r2(X1,X2)
| f2(X1) ) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ d(X2)
| ~ t2(X1,X2)
| ~ equalish(u10r2(X1,X0),u10r1(X1,X0))
| ~ r2(X0,X1)
| f2(X0) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [X6] :
( ~ d(X6)
| ! [X2] :
( ~ t2(X2,X6)
| ! [X1] :
( ~ equalish(u10r3(X2,X1),u10r1(X2,X1))
| ~ r2(X1,X2)
| f2(X1) ) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ d(X2)
| ~ t2(X1,X2)
| ~ equalish(u10r3(X1,X0),u10r1(X1,X0))
| ~ r2(X0,X1)
| f2(X0) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [X6] :
( ~ d(X6)
| ! [X2] :
( ~ t2(X2,X6)
| ! [X1] :
( ~ equalish(u10r3(X2,X1),u10r2(X2,X1))
| ~ r2(X1,X2)
| f2(X1) ) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ d(X2)
| ~ t2(X1,X2)
| ~ equalish(u10r3(X1,X0),u10r2(X1,X0))
| ~ r2(X0,X1)
| f2(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
! [X6] :
( ~ d(X6)
| ! [X2] :
( ~ t2(X2,X6)
| ! [X1] :
( ~ r2(X1,X2)
| t(X2,u10r1(X2,X1))
| f2(X1) ) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ d(X2)
| ~ t2(X1,X2)
| ~ r2(X0,X1)
| t(X1,u10r1(X1,X0))
| f2(X0) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
! [X6] :
( ~ d(X6)
| ! [X2] :
( ~ t2(X2,X6)
| ! [X1] :
( ~ r2(X1,X2)
| t(X2,u10r2(X2,X1))
| f2(X1) ) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ d(X2)
| ~ t2(X1,X2)
| ~ r2(X0,X1)
| t(X1,u10r2(X1,X0))
| f2(X0) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
! [X6] :
( ~ d(X6)
| ! [X2] :
( ~ t2(X2,X6)
| ! [X1] :
( ~ r2(X1,X2)
| t(X2,u10r3(X2,X1))
| f2(X1) ) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ d(X2)
| ~ t2(X1,X2)
| ~ r2(X0,X1)
| t(X1,u10r3(X1,X0))
| f2(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
! [X0] :
( ~ f3(X0)
| e(u11r5(X0)) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f104,plain,
! [X0] :
( ~ f3(X0)
| t3(u11r4(X0),u11r5(X0)) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f105,plain,
! [X3,X1] :
( ~ t(u11r4(X1),X3)
| ! [X4] :
( ~ t(u11r4(X1),X4)
| ! [X5] :
( ~ t(u11r4(X1),X5)
| ~ f3(X1)
| equalish(X4,X3)
| equalish(X5,X3)
| equalish(X5,X4) ) ) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ t(u11r4(X3),X2)
| ~ t(u11r4(X3),X1)
| ~ t(u11r4(X3),X0)
| ~ f3(X3)
| equalish(X1,X2)
| equalish(X0,X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
! [X0] :
( ~ f3(X0)
| r3(X0,u11r4(X0)) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f108,plain,
! [X6] :
( ~ e(X6)
| ! [X2] :
( ~ t3(X2,X6)
| ! [X1] :
( ~ equalish(u11r2(X2,X1),u11r1(X2,X1))
| ~ r3(X1,X2)
| f3(X1) ) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ e(X2)
| ~ t3(X1,X2)
| ~ equalish(u11r2(X1,X0),u11r1(X1,X0))
| ~ r3(X0,X1)
| f3(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,plain,
! [X6] :
( ~ e(X6)
| ! [X2] :
( ~ t3(X2,X6)
| ! [X1] :
( ~ equalish(u11r3(X2,X1),u11r1(X2,X1))
| ~ r3(X1,X2)
| f3(X1) ) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ e(X2)
| ~ t3(X1,X2)
| ~ equalish(u11r3(X1,X0),u11r1(X1,X0))
| ~ r3(X0,X1)
| f3(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f112,plain,
! [X6] :
( ~ e(X6)
| ! [X2] :
( ~ t3(X2,X6)
| ! [X1] :
( ~ equalish(u11r3(X2,X1),u11r2(X2,X1))
| ~ r3(X1,X2)
| f3(X1) ) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ~ e(X2)
| ~ t3(X1,X2)
| ~ equalish(u11r3(X1,X0),u11r2(X1,X0))
| ~ r3(X0,X1)
| f3(X0) ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f114,plain,
! [X6] :
( ~ e(X6)
| ! [X2] :
( ~ t3(X2,X6)
| ! [X1] :
( ~ r3(X1,X2)
| t(X2,u11r1(X2,X1))
| f3(X1) ) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ e(X2)
| ~ t3(X1,X2)
| ~ r3(X0,X1)
| t(X1,u11r1(X1,X0))
| f3(X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f116,plain,
! [X6] :
( ~ e(X6)
| ! [X2] :
( ~ t3(X2,X6)
| ! [X1] :
( ~ r3(X1,X2)
| t(X2,u11r2(X2,X1))
| f3(X1) ) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ~ e(X2)
| ~ t3(X1,X2)
| ~ r3(X0,X1)
| t(X1,u11r2(X1,X0))
| f3(X0) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f118,plain,
! [X6] :
( ~ e(X6)
| ! [X2] :
( ~ t3(X2,X6)
| ! [X1] :
( ~ r3(X1,X2)
| t(X2,u11r3(X2,X1))
| f3(X1) ) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ e(X2)
| ~ t3(X1,X2)
| ~ r3(X0,X1)
| t(X1,u11r3(X1,X0))
| f3(X0) ),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f120,plain,
! [X0] :
( ~ f(X0)
| f3(X0) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f121,plain,
! [X0] :
( ~ f(X0)
| f2(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f122,plain,
! [X0] :
( ~ f(X0)
| f1(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f123,plain,
! [X0] :
( ~ f3(X0)
| ~ f2(X0)
| ~ f1(X0)
| f(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f124,plain,
! [X0] :
( ~ g(X0)
| r2least(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f125,plain,
! [X0] :
( ~ r2least(X0)
| g(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f126,plain,
! [X0] :
( ~ equalish(u14r2(X0),u14r1(X0))
| ~ r2least(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f127,plain,
! [X0] :
( ~ r2least(X0)
| r(X0,u14r1(X0)) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f128,plain,
! [X0] :
( ~ r2least(X0)
| r(X0,u14r2(X0)) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f129,plain,
! [X1,X2] :
( ~ r(X1,X2)
| ! [X3] :
( ~ r(X1,X3)
| equalish(X3,X2)
| r2least(X1) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ r(X0,X2)
| ~ r(X0,X1)
| equalish(X1,X2)
| r2least(X0) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
f3(exists),
inference(resolution,[status(thm)],[f120,f55]) ).
fof(f132,plain,
f2(exists),
inference(resolution,[status(thm)],[f121,f55]) ).
fof(f133,plain,
f1(exists),
inference(resolution,[status(thm)],[f122,f55]) ).
fof(f134,plain,
( ~ f2(exists)
| ~ f1(exists)
| f(exists) ),
inference(resolution,[status(thm)],[f123,f131]) ).
fof(f135,definition,
( sQ0_spl
<=> f(exists) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f138,definition,
( sQ1_spl
<=> f1(exists) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( sQ1_spl
| ~ f1(exists) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,definition,
( sQ2_spl
<=> f2(exists) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( sQ2_spl
| ~ f2(exists) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f134,f135,f138,f141]) ).
fof(f145,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f132]) ).
fof(f146,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f145]) ).
fof(f147,plain,
c(u9r5(exists)),
inference(resolution,[status(thm)],[f69,f133]) ).
fof(f148,plain,
t1(u9r4(exists),u9r5(exists)),
inference(resolution,[status(thm)],[f70,f133]) ).
fof(f149,plain,
t(u9r4(exists),u9r5(exists)),
inference(resolution,[status(thm)],[f148,f60]) ).
fof(f150,plain,
! [X0,X1] :
( ~ t(u9r4(exists),X1)
| ~ t(u9r4(exists),X0)
| ~ f1(exists)
| equalish(X0,X1)
| equalish(u9r5(exists),X1)
| equalish(u9r5(exists),X0) ),
inference(resolution,[status(thm)],[f149,f72]) ).
fof(f151,definition,
! [X0,X1] :
( sQ3_spl
<=> ( ~ t(u9r4(exists),X1)
| ~ t(u9r4(exists),X0)
| equalish(X0,X1)
| equalish(u9r5(exists),X1)
| equalish(u9r5(exists),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f152,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ t(u9r4(exists),X1)
| ~ t(u9r4(exists),X0)
| equalish(X0,X1)
| equalish(u9r5(exists),X1)
| equalish(u9r5(exists),X0) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,plain,
( ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f150,f151,f138]) ).
fof(f155,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f140,f133]) ).
fof(f156,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f155]) ).
fof(f157,plain,
! [X0] :
( ~ sQ3_spl
| ~ t(u9r4(exists),X0)
| equalish(u9r5(exists),X0)
| equalish(u9r5(exists),X0)
| equalish(u9r5(exists),u9r5(exists)) ),
inference(resolution,[status(thm)],[f152,f149]) ).
fof(f158,definition,
( sQ4_spl
<=> equalish(u9r5(exists),u9r5(exists)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( ~ sQ4_spl
| equalish(u9r5(exists),u9r5(exists)) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,definition,
! [X0] :
( sQ5_spl
<=> ( ~ t(u9r4(exists),X0)
| equalish(u9r5(exists),X0)
| equalish(u9r5(exists),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ3_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f157,f158,f161,f151]) ).
fof(f165,plain,
r1(exists,u9r4(exists)),
inference(resolution,[status(thm)],[f73,f133]) ).
fof(f169,plain,
r(exists,u9r4(exists)),
inference(resolution,[status(thm)],[f165,f57]) ).
fof(f185,plain,
! [X0] :
( ~ r(exists,X0)
| equalish(u9r4(exists),X0)
| r2least(exists) ),
inference(resolution,[status(thm)],[f169,f130]) ).
fof(f186,definition,
( sQ10_spl
<=> r2least(exists) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ10_spl
| r2least(exists) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( sQ10_spl
| ~ r2least(exists) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,definition,
! [X0] :
( sQ11_spl
<=> ( ~ r(exists,X0)
| equalish(u9r4(exists),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f190,plain,
! [X0] :
( ~ sQ11_spl
| ~ r(exists,X0)
| equalish(u9r4(exists),X0) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,plain,
( sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f185,f186,f189]) ).
fof(f193,plain,
( ~ sQ10_spl
| g(exists) ),
inference(resolution,[status(thm)],[f187,f125]) ).
fof(f194,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f193,f56]) ).
fof(f195,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f194]) ).
fof(f196,plain,
( ~ sQ11_spl
| equalish(u9r4(exists),u9r4(exists)) ),
inference(resolution,[status(thm)],[f190,f169]) ).
fof(f197,plain,
d(u10r5(exists)),
inference(resolution,[status(thm)],[f86,f132]) ).
fof(f198,plain,
~ e(u10r5(exists)),
inference(resolution,[status(thm)],[f197,f65]) ).
fof(f199,plain,
~ c(u10r5(exists)),
inference(resolution,[status(thm)],[f197,f64]) ).
fof(f200,plain,
e(u11r5(exists)),
inference(resolution,[status(thm)],[f103,f131]) ).
fof(f201,plain,
~ c(u11r5(exists)),
inference(resolution,[status(thm)],[f200,f63]) ).
fof(f202,plain,
r2(exists,u10r4(exists)),
inference(resolution,[status(thm)],[f90,f132]) ).
fof(f206,plain,
r(exists,u10r4(exists)),
inference(resolution,[status(thm)],[f202,f58]) ).
fof(f222,plain,
( ~ sQ11_spl
| equalish(u9r4(exists),u10r4(exists)) ),
inference(resolution,[status(thm)],[f206,f190]) ).
fof(f223,plain,
! [X0] :
( ~ r(exists,X0)
| equalish(u10r4(exists),X0)
| r2least(exists) ),
inference(resolution,[status(thm)],[f206,f130]) ).
fof(f224,definition,
! [X0] :
( sQ16_spl
<=> ( ~ r(exists,X0)
| equalish(u10r4(exists),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f225,plain,
! [X0] :
( ~ sQ16_spl
| ~ r(exists,X0)
| equalish(u10r4(exists),X0) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( sQ16_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f223,f186,f224]) ).
fof(f228,plain,
( ~ sQ16_spl
| equalish(u10r4(exists),u10r4(exists)) ),
inference(resolution,[status(thm)],[f225,f206]) ).
fof(f229,plain,
( ~ sQ16_spl
| equalish(u10r4(exists),u9r4(exists)) ),
inference(resolution,[status(thm)],[f225,f169]) ).
fof(f230,plain,
t2(u10r4(exists),u10r5(exists)),
inference(resolution,[status(thm)],[f87,f132]) ).
fof(f231,plain,
t(u10r4(exists),u10r5(exists)),
inference(resolution,[status(thm)],[f230,f61]) ).
fof(f232,plain,
! [X0,X1] :
( ~ t(u10r4(exists),X1)
| ~ t(u10r4(exists),X0)
| ~ f2(exists)
| equalish(X0,X1)
| equalish(u10r5(exists),X1)
| equalish(u10r5(exists),X0) ),
inference(resolution,[status(thm)],[f231,f89]) ).
fof(f233,definition,
! [X0,X1] :
( sQ17_spl
<=> ( ~ t(u10r4(exists),X1)
| ~ t(u10r4(exists),X0)
| equalish(X0,X1)
| equalish(u10r5(exists),X1)
| equalish(u10r5(exists),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f234,plain,
! [X0,X1] :
( ~ sQ17_spl
| ~ t(u10r4(exists),X1)
| ~ t(u10r4(exists),X0)
| equalish(X0,X1)
| equalish(u10r5(exists),X1)
| equalish(u10r5(exists),X0) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( ~ sQ2_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f232,f233,f141]) ).
fof(f237,plain,
! [X0] :
( ~ sQ17_spl
| ~ t(u10r4(exists),X0)
| equalish(u10r5(exists),X0)
| equalish(u10r5(exists),X0)
| equalish(u10r5(exists),u10r5(exists)) ),
inference(resolution,[status(thm)],[f234,f231]) ).
fof(f238,definition,
( sQ18_spl
<=> equalish(u10r5(exists),u10r5(exists)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ18_spl
| equalish(u10r5(exists),u10r5(exists)) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
! [X0] :
( sQ19_spl
<=> ( ~ t(u10r4(exists),X0)
| equalish(u10r5(exists),X0)
| equalish(u10r5(exists),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ17_spl
| sQ19_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f237,f238,f241,f233]) ).
fof(f245,plain,
t3(u11r4(exists),u11r5(exists)),
inference(resolution,[status(thm)],[f104,f131]) ).
fof(f246,plain,
t(u11r4(exists),u11r5(exists)),
inference(resolution,[status(thm)],[f245,f62]) ).
fof(f247,plain,
! [X0,X1] :
( ~ t(u11r4(exists),X1)
| ~ t(u11r4(exists),X0)
| ~ f3(exists)
| equalish(X0,X1)
| equalish(u11r5(exists),X1)
| equalish(u11r5(exists),X0) ),
inference(resolution,[status(thm)],[f246,f106]) ).
fof(f248,definition,
! [X0,X1] :
( sQ20_spl
<=> ( ~ t(u11r4(exists),X1)
| ~ t(u11r4(exists),X0)
| equalish(X0,X1)
| equalish(u11r5(exists),X1)
| equalish(u11r5(exists),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f249,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ t(u11r4(exists),X1)
| ~ t(u11r4(exists),X0)
| equalish(X0,X1)
| equalish(u11r5(exists),X1)
| equalish(u11r5(exists),X0) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,definition,
( sQ21_spl
<=> f3(exists) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( sQ21_spl
| ~ f3(exists) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,plain,
( ~ sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f247,f248,f251]) ).
fof(f255,plain,
! [X0] :
( ~ sQ20_spl
| ~ t(u11r4(exists),X0)
| equalish(u11r5(exists),X0)
| equalish(u11r5(exists),X0)
| equalish(u11r5(exists),u11r5(exists)) ),
inference(resolution,[status(thm)],[f249,f246]) ).
fof(f256,definition,
( sQ22_spl
<=> equalish(u11r5(exists),u11r5(exists)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ22_spl
| equalish(u11r5(exists),u11r5(exists)) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,definition,
! [X0] :
( sQ23_spl
<=> ( ~ t(u11r4(exists),X0)
| equalish(u11r5(exists),X0)
| equalish(u11r5(exists),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f260,plain,
! [X0] :
( ~ sQ23_spl
| ~ t(u11r4(exists),X0)
| equalish(u11r5(exists),X0)
| equalish(u11r5(exists),X0) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,plain,
( ~ sQ20_spl
| sQ23_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f255,f256,f259,f248]) ).
fof(f263,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f253,f131]) ).
fof(f264,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f263]) ).
fof(f267,plain,
r3(exists,u11r4(exists)),
inference(resolution,[status(thm)],[f107,f131]) ).
fof(f271,plain,
r(exists,u11r4(exists)),
inference(resolution,[status(thm)],[f267,f59]) ).
fof(f287,plain,
( ~ sQ16_spl
| equalish(u10r4(exists),u11r4(exists)) ),
inference(resolution,[status(thm)],[f271,f225]) ).
fof(f288,plain,
( ~ sQ11_spl
| equalish(u9r4(exists),u11r4(exists)) ),
inference(resolution,[status(thm)],[f271,f190]) ).
fof(f289,plain,
! [X0] :
( ~ r(exists,X0)
| equalish(u11r4(exists),X0)
| r2least(exists) ),
inference(resolution,[status(thm)],[f271,f130]) ).
fof(f290,definition,
! [X0] :
( sQ28_spl
<=> ( ~ r(exists,X0)
| equalish(u11r4(exists),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f291,plain,
! [X0] :
( ~ sQ28_spl
| ~ r(exists,X0)
| equalish(u11r4(exists),X0) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( sQ28_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f289,f186,f290]) ).
fof(f294,plain,
( ~ sQ28_spl
| equalish(u11r4(exists),u11r4(exists)) ),
inference(resolution,[status(thm)],[f291,f271]) ).
fof(f295,plain,
( ~ sQ28_spl
| equalish(u11r4(exists),u10r4(exists)) ),
inference(resolution,[status(thm)],[f291,f206]) ).
fof(f296,plain,
( ~ sQ28_spl
| equalish(u11r4(exists),u9r4(exists)) ),
inference(resolution,[status(thm)],[f291,f169]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| sQ3_spl
| sQ4_spl
| ~ sQ10_spl
| sQ11_spl
| sQ16_spl
| sQ17_spl
| sQ18_spl
| sQ20_spl
| sQ21_spl
| sQ22_spl
| sQ28_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS011-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 22:53:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.37 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.13/0.37 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.041812 seconds
% 0.13/0.40 % CPU time: 0.088560 seconds
% 0.13/0.40 % Total memory used: 9.243 MB
% 0.13/0.40 % Net memory used: 9.212 MB
%------------------------------------------------------------------------------