%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN743-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 03:20:28 PM UTC 2026
% Result : Satisfiable 0.13s 5.45s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [U] : ssRr(U,skf1(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [U,V] :
( ssPv7(U)
| ssPv3(U)
| ssPv2(U)
| ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [U,V] :
( ssPv6(U)
| ssPv4(U)
| ssPv2(U)
| ~ ssPv7(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [U,V] :
( ssPv8(U)
| ssPv6(U)
| ~ ssPv4(U)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [U,V] :
( ssPv8(U)
| ssPv6(U)
| ~ ssPv2(U)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [U,V] :
( ssPv7(U)
| ssPv6(U)
| ~ ssPv1(U)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [U,V] :
( ssPv2(U)
| ssPv1(U)
| ~ ssPv3(U)
| ~ ssPv7(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [U,V] :
( ssPv7(U)
| ~ ssPv6(U)
| ~ ssPv3(U)
| ~ ssPv6(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [U,V] :
( ssPv5(U)
| ~ ssPv8(U)
| ~ ssPv3(U)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [U,V,W] :
( ssPv8(U)
| ssPv6(U)
| ssPv2(W)
| ssPv7(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv3(U)
| ssPv4(W)
| ssPv6(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [U,V,W] :
( ssPv8(U)
| ssPv1(W)
| ssPv2(V)
| ~ ssPv6(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [U,V,W] :
( ssPv5(U)
| ssPv2(W)
| ssPv8(V)
| ~ ssPv4(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv3(W)
| ssPv5(V)
| ~ ssPv5(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv6(W)
| ssPv7(V)
| ~ ssPv3(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [U,V,W] :
( ssPv1(W)
| ssPv2(V)
| ~ ssPv6(U)
| ~ ssPv5(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [U,V,W] :
( ssPv8(U)
| ssPv5(U)
| ~ ssPv1(W)
| ~ ssRr(U,W)
| ~ ssPv5(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv5(W)
| ~ ssPv5(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv4(W)
| ~ ssPv8(U)
| ~ ssRr(U,W)
| ~ ssPv8(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv7(W)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssPv5(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv6(W)
| ~ ssPv7(U)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [U,V,W] :
( ssPv5(W)
| ~ ssPv8(U)
| ~ ssPv4(U)
| ~ ssRr(U,W)
| ~ ssPv8(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ~ ssPv5(U)
| ~ ssPv4(W)
| ~ ssRr(U,W)
| ~ ssPv8(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [U,V,W,X] :
( ssPv1(X)
| ssPv7(W)
| ssPv8(V)
| ~ ssPv2(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [U,V,W,X] :
( ssPv7(U)
| ssPv3(X)
| ssPv5(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [U,V,W,X] :
( ssPv3(U)
| ssPv1(X)
| ssPv4(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [U,V,W,X] :
( ssPv6(U)
| ssPv6(X)
| ~ ssRr(U,X)
| ~ ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv5(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [U,V,W,X] :
( ssPv1(X)
| ssPv2(W)
| ~ ssPv6(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [U,V,W,X] :
( ssPv6(U)
| ~ ssPv4(X)
| ~ ssRr(U,X)
| ~ ssPv5(W)
| ~ ssRr(U,W)
| ~ ssPv8(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [U,V,W,X] :
( ssPv1(X)
| ~ ssPv6(U)
| ~ ssRr(U,X)
| ~ ssPv1(W)
| ~ ssRr(U,W)
| ~ ssPv5(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [U,V,W,X] :
( ssPv2(X)
| ~ ssPv4(U)
| ~ ssRr(U,X)
| ~ ssPv4(W)
| ~ ssRr(U,W)
| ~ ssPv7(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,plain,
! [X0] : ssRr(X0,skf1(X0)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
! [U] :
( ssPv7(U)
| ssPv3(U)
| ssPv2(U)
| ! [V] :
( ssPv1(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f34,plain,
! [X0,X1] :
( ssPv7(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f35,plain,
! [U] :
( ssPv6(U)
| ssPv4(U)
| ssPv2(U)
| ! [V] :
( ~ ssPv7(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f36,plain,
! [X0,X1] :
( ssPv6(X0)
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv7(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [U] :
( ssPv8(U)
| ssPv6(U)
| ~ ssPv4(U)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f38,plain,
! [X0,X1] :
( ssPv8(X0)
| ssPv6(X0)
| ~ ssPv4(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
! [U] :
( ssPv8(U)
| ssPv6(U)
| ~ ssPv2(U)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f40,plain,
! [X0,X1] :
( ssPv8(X0)
| ssPv6(X0)
| ~ ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f41,plain,
! [U] :
( ssPv7(U)
| ssPv6(U)
| ~ ssPv1(U)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f42,plain,
! [X0,X1] :
( ssPv7(X0)
| ssPv6(X0)
| ~ ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
! [U] :
( ssPv2(U)
| ssPv1(U)
| ~ ssPv3(U)
| ! [V] :
( ~ ssPv7(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f44,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv7(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [U] :
( ssPv7(U)
| ~ ssPv6(U)
| ~ ssPv3(U)
| ! [V] :
( ~ ssPv6(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f46,plain,
! [X0,X1] :
( ssPv7(X0)
| ~ ssPv6(X0)
| ~ ssPv3(X0)
| ~ ssPv6(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [U] :
( ssPv5(U)
| ~ ssPv8(U)
| ~ ssPv3(U)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f48,plain,
! [X0,X1] :
( ssPv5(X0)
| ~ ssPv8(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [U] :
( ssPv8(U)
| ssPv6(U)
| ! [W] :
( ssPv2(W)
| ! [V] :
( ssPv7(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ssPv8(X0)
| ssPv6(X0)
| ssPv2(X2)
| ssPv7(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [U] :
( ssPv4(U)
| ssPv3(U)
| ! [W] :
( ssPv4(W)
| ! [V] :
( ssPv6(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv4(X2)
| ssPv6(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [U] :
( ssPv8(U)
| ! [W] :
( ssPv1(W)
| ! [V] :
( ssPv2(V)
| ~ ssPv6(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ssPv8(X0)
| ssPv1(X2)
| ssPv2(X1)
| ~ ssPv6(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [U] :
( ssPv5(U)
| ! [W] :
( ssPv2(W)
| ! [V] :
( ssPv8(V)
| ~ ssPv4(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ssPv5(X0)
| ssPv2(X2)
| ssPv8(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
! [U] :
( ssPv3(U)
| ! [W] :
( ssPv3(W)
| ! [V] :
( ssPv5(V)
| ~ ssPv5(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv3(X2)
| ssPv5(X1)
| ~ ssPv5(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [U] :
( ssPv2(U)
| ! [W] :
( ssPv6(W)
| ! [V] :
( ssPv7(V)
| ~ ssPv3(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv6(X2)
| ssPv7(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [W] :
( ssPv1(W)
| ! [V] :
( ssPv2(V)
| ! [U] :
( ~ ssPv6(U)
| ~ ssPv5(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ssPv2(X1)
| ~ ssPv6(X0)
| ~ ssPv5(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [U] :
( ssPv8(U)
| ssPv5(U)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv5(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ssPv8(X0)
| ssPv5(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [U] :
( ssPv4(U)
| ! [W] :
( ssPv5(W)
| ~ ssPv5(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv5(X2)
| ~ ssPv5(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [U] :
( ssPv3(U)
| ! [W] :
( ssPv4(W)
| ~ ssPv8(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv8(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv4(X2)
| ~ ssPv8(X0)
| ~ ssRr(X0,X2)
| ~ ssPv8(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [U] :
( ssPv3(U)
| ! [W] :
( ssPv7(W)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv5(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv7(X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [U] :
( ssPv2(U)
| ! [W] :
( ssPv6(W)
| ~ ssPv7(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv6(X2)
| ~ ssPv7(X0)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [W] :
( ssPv5(W)
| ! [U] :
( ~ ssPv8(U)
| ~ ssPv4(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv8(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ssPv5(X2)
| ~ ssPv8(X0)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssPv8(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
! [U] :
( ssPv2(U)
| ~ ssPv5(U)
| ! [W] :
( ~ ssPv4(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv8(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ~ ssPv5(X0)
| ~ ssPv4(X2)
| ~ ssRr(X0,X2)
| ~ ssPv8(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [X] :
( ssPv1(X)
| ! [W] :
( ssPv7(W)
| ! [V] :
( ssPv8(V)
| ! [U] :
( ~ ssPv2(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ssPv1(X3)
| ssPv7(X2)
| ssPv8(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f79,plain,
! [U] :
( ssPv7(U)
| ! [X] :
( ssPv3(X)
| ! [W] :
( ssPv5(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ssPv7(X0)
| ssPv3(X3)
| ssPv5(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
! [U] :
( ssPv3(U)
| ! [X] :
( ssPv1(X)
| ! [W] :
( ssPv4(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ssPv3(X0)
| ssPv1(X3)
| ssPv4(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
! [U] :
( ssPv6(U)
| ! [X] :
( ssPv6(X)
| ~ ssRr(U,X)
| ! [W] :
( ~ ssPv2(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv5(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ssPv6(X0)
| ssPv6(X3)
| ~ ssRr(X0,X3)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f85,plain,
! [X] :
( ssPv1(X)
| ! [W] :
( ssPv2(W)
| ! [U] :
( ~ ssPv6(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( ssPv1(X3)
| ssPv2(X2)
| ~ ssPv6(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
! [U] :
( ssPv6(U)
| ! [X] :
( ~ ssPv4(X)
| ~ ssRr(U,X)
| ! [W] :
( ~ ssPv5(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv8(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ssPv6(X0)
| ~ ssPv4(X3)
| ~ ssRr(X0,X3)
| ~ ssPv5(X2)
| ~ ssRr(X0,X2)
| ~ ssPv8(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
! [X] :
( ssPv1(X)
| ! [U] :
( ~ ssPv6(U)
| ~ ssRr(U,X)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv5(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ssPv1(X3)
| ~ ssPv6(X0)
| ~ ssRr(X0,X3)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [X] :
( ssPv2(X)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,X)
| ! [W] :
( ~ ssPv4(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv7(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( ssPv2(X3)
| ~ ssPv4(X0)
| ~ ssRr(X0,X3)
| ~ ssPv4(X2)
| ~ ssRr(X0,X2)
| ~ ssPv7(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [X0] :
( ssPv7(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f34,f32]) ).
fof(f94,plain,
! [X0] :
( ssPv6(X0)
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv7(skf1(X0)) ),
inference(resolution,[status(thm)],[f36,f32]) ).
fof(f95,plain,
! [X0] :
( ssPv8(X0)
| ssPv6(X0)
| ~ ssPv4(X0)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f38,f32]) ).
fof(f96,plain,
! [X0] :
( ssPv8(X0)
| ssPv6(X0)
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f40,f32]) ).
fof(f97,plain,
! [X0] :
( ssPv7(X0)
| ssPv6(X0)
| ~ ssPv1(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f42,f32]) ).
fof(f98,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv7(skf1(X0)) ),
inference(resolution,[status(thm)],[f44,f32]) ).
fof(f99,plain,
! [X0] :
( ssPv7(X0)
| ~ ssPv6(X0)
| ~ ssPv3(X0)
| ~ ssPv6(skf1(X0)) ),
inference(resolution,[status(thm)],[f46,f32]) ).
fof(f100,plain,
! [X0] :
( ssPv5(X0)
| ~ ssPv8(X0)
| ~ ssPv3(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f48,f32]) ).
fof(f101,plain,
! [X0,X1] :
( ssPv8(X0)
| ssPv6(X0)
| ssPv2(skf1(X0))
| ssPv7(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f50,f32]) ).
fof(f102,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv6(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f52,f32]) ).
fof(f103,plain,
! [X0,X1] :
( ssPv8(X0)
| ssPv1(skf1(X0))
| ssPv2(X1)
| ~ ssPv6(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f54,f32]) ).
fof(f104,plain,
! [X0,X1] :
( ssPv5(X0)
| ssPv2(skf1(X0))
| ssPv8(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f56,f32]) ).
fof(f105,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv3(skf1(X0))
| ssPv5(X1)
| ~ ssPv5(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f58,f32]) ).
fof(f106,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv6(skf1(X0))
| ssPv7(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f60,f32]) ).
fof(f107,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv2(X1)
| ~ ssPv6(X0)
| ~ ssPv5(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f62,f32]) ).
fof(f108,plain,
! [X0,X1] :
( ssPv8(X0)
| ssPv5(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f64,f32]) ).
fof(f109,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv5(skf1(X0))
| ~ ssPv5(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f66,f32]) ).
fof(f110,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv4(skf1(X0))
| ~ ssPv8(X0)
| ~ ssPv8(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f68,f32]) ).
fof(f111,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv7(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f70,f32]) ).
fof(f112,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv6(skf1(X0))
| ~ ssPv7(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f72,f32]) ).
fof(f113,plain,
! [X0,X1] :
( ssPv5(skf1(X0))
| ~ ssPv8(X0)
| ~ ssPv4(X0)
| ~ ssPv8(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f74,f32]) ).
fof(f114,plain,
! [X0] :
( ssPv5(skf1(X0))
| ~ ssPv8(X0)
| ~ ssPv4(X0)
| ~ ssPv8(skf1(X0)) ),
inference(resolution,[status(thm)],[f113,f32]) ).
fof(f115,plain,
! [X0,X1] :
( ssPv2(X0)
| ~ ssPv5(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv8(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f76,f32]) ).
fof(f116,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv7(skf1(X0))
| ssPv8(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f78,f32]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ssPv7(skf1(X0))
| ssPv8(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f78,f32]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ssPv1(skf1(X0))
| ssPv7(X2)
| ssPv8(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f78,f32]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ssPv7(X2)
| ssPv8(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[f78]) ).
fof(f120,plain,
! [X0,X1] :
( ssPv7(X0)
| ssPv3(skf1(X0))
| ssPv5(skf1(X0))
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f80,f32]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ssPv7(X0)
| ssPv3(X2)
| ssPv5(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f80,f32]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ssPv7(X0)
| ssPv3(skf1(X0))
| ssPv5(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f80,f32]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ssPv7(X0)
| ssPv3(X2)
| ssPv5(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[f80]) ).
fof(f124,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f82,f32]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv1(X2)
| ssPv4(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f82,f32]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv4(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f82,f32]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv1(X2)
| ssPv4(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[f82]) ).
fof(f131,plain,
! [X0,X1] :
( ssPv6(X0)
| ssPv6(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f84,f32]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ssPv6(X0)
| ssPv6(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(X0))
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f84,f32]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ssPv6(X0)
| ssPv6(skf1(X0))
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f84,f32]) ).
fof(f134,plain,
! [X0,X1,X2] :
( ssPv6(X0)
| ssPv6(X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[f84]) ).
fof(f137,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv6(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f86,f32]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ssPv2(skf1(X0))
| ~ ssPv6(X0)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f86,f32]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ssPv1(skf1(X0))
| ssPv2(X2)
| ~ ssPv6(X0)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f86,f32]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ssPv2(X2)
| ~ ssPv6(X0)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[f86]) ).
fof(f141,plain,
! [X0,X1] :
( ssPv6(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv5(skf1(X0))
| ~ ssPv8(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f88,f32]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ssPv6(X0)
| ~ ssPv4(X2)
| ~ ssRr(X0,X2)
| ~ ssPv5(skf1(X0))
| ~ ssPv8(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f88,f32]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ssPv6(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv5(X2)
| ~ ssRr(X0,X2)
| ~ ssPv8(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f88,f32]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ssPv6(X0)
| ~ ssPv4(X2)
| ~ ssPv5(X2)
| ~ ssRr(X0,X2)
| ~ ssPv8(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[f88]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ~ ssPv6(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(skf1(X0))
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f90,f32]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ssPv1(skf1(X0))
| ~ ssPv6(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f90,f32]) ).
fof(f151,plain,
! [X0,X1] :
( ssPv2(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv7(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f92,f32]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ssPv2(X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssPv4(skf1(X0))
| ~ ssPv7(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f92,f32]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ssPv2(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv4(X2)
| ~ ssRr(X0,X2)
| ~ ssPv7(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f92,f32]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ssPv2(X2)
| ~ ssPv4(X0)
| ~ ssPv4(X2)
| ~ ssRr(X0,X2)
| ~ ssPv7(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[f92]) ).
fof(f160,plain,
! [X0] :
( ssPv8(X0)
| ssPv6(X0)
| ssPv2(skf1(X0))
| ssPv7(skf1(X0)) ),
inference(resolution,[status(thm)],[f101,f32]) ).
fof(f161,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv6(skf1(X0)) ),
inference(resolution,[status(thm)],[f102,f32]) ).
fof(f162,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv3(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f160,f98]) ).
fof(f163,plain,
! [X0] :
( ssPv6(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f160,f94]) ).
fof(f164,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f163]) ).
fof(f165,plain,
! [X0] :
( ssPv8(X0)
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv6(X0) ),
inference(resolution,[status(thm)],[f103,f32]) ).
fof(f167,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv8(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f165,f161]) ).
fof(f169,plain,
! [X0] :
( ssPv5(X0)
| ssPv2(skf1(X0))
| ssPv8(skf1(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f104,f32]) ).
fof(f170,plain,
! [X0] :
( ssPv3(X0)
| ssPv3(skf1(X0))
| ssPv5(skf1(X0))
| ~ ssPv5(X0) ),
inference(resolution,[status(thm)],[f105,f32]) ).
fof(f171,plain,
! [X0] :
( ssPv2(X0)
| ssPv6(skf1(X0))
| ssPv7(skf1(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f106,f32]) ).
fof(f172,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv6(X0)
| ~ ssPv5(X0) ),
inference(resolution,[status(thm)],[f107,f32]) ).
fof(f173,plain,
! [X0,X1] :
( ssPv7(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv5(X0)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f108,f93]) ).
fof(f174,plain,
! [X0] :
( ssPv4(X0)
| ssPv5(skf1(X0))
| ~ ssPv5(X0)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f109,f32]) ).
fof(f175,plain,
! [X0] :
( ssPv3(X0)
| ssPv4(skf1(X0))
| ~ ssPv8(X0)
| ~ ssPv8(skf1(X0)) ),
inference(resolution,[status(thm)],[f110,f32]) ).
fof(f176,plain,
! [X0] :
( ssPv3(X0)
| ssPv7(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv5(skf1(X0)) ),
inference(resolution,[status(thm)],[f111,f32]) ).
fof(f177,plain,
! [X0] :
( ssPv7(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv5(X0)
| ~ ssPv5(skf1(X0)) ),
inference(resolution,[status(thm)],[f173,f32]) ).
fof(f178,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv4(X0)
| ssPv5(skf1(X0))
| ~ ssPv5(X0) ),
inference(resolution,[status(thm)],[f174,f164]) ).
fof(f179,plain,
! [X0] :
( ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv4(X0)
| ssPv5(skf1(X0))
| ~ ssPv5(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f178]) ).
fof(f180,plain,
! [X0] :
( ssPv2(X0)
| ssPv6(skf1(X0))
| ~ ssPv7(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f112,f32]) ).
fof(f181,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv7(skf1(X0))
| ssPv8(skf1(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f116,f32]) ).
fof(f183,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv7(skf1(skf1(X0)))
| ssPv8(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f181,f164]) ).
fof(f184,plain,
! [X0] :
( ssPv7(X0)
| ssPv3(skf1(X0))
| ssPv5(skf1(X0))
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f120,f32]) ).
fof(f185,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f124,f32]) ).
fof(f186,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f185,f164]) ).
fof(f191,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv6(X0)
| ssPv6(skf1(X0))
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f131,f164]) ).
fof(f192,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv6(skf1(X0))
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f191]) ).
fof(f193,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv6(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f137,f32]) ).
fof(f195,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv6(X0)
| ssPv6(X2)
| ~ ssRr(X0,X2)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f132,f164]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv6(X2)
| ~ ssRr(X0,X2)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f195]) ).
fof(f204,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ~ ssPv6(skf1(X0))
| ~ ssRr(skf1(X0),X2)
| ~ ssPv5(X1)
| ~ ssRr(skf1(X0),X1)
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv8(skf1(X0))
| ssPv2(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f167,f146]) ).
fof(f205,plain,
! [X0,X1] :
( ssPv8(skf1(X0))
| ssPv5(skf1(X0))
| ~ ssPv5(X1)
| ~ ssRr(skf1(X0),X1)
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv8(skf1(X0))
| ssPv2(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f167,f108]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ~ ssRr(skf1(X0),X2)
| ~ ssPv5(X1)
| ~ ssRr(skf1(X0),X1)
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv8(skf1(X0))
| ssPv2(skf1(skf1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f204,f161]) ).
fof(f207,plain,
! [X0,X1] :
( ssPv5(skf1(X0))
| ~ ssPv5(X1)
| ~ ssRr(skf1(X0),X1)
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv8(skf1(X0))
| ssPv2(skf1(skf1(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f205]) ).
fof(f208,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv6(skf1(X0))
| ~ ssPv5(skf1(X0)) ),
inference(resolution,[status(thm)],[f192,f32]) ).
fof(f210,plain,
! [X0,X1] :
( ssPv8(X0)
| ssPv5(X0)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1)
| ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv3(X0)
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f186,f108]) ).
fof(f211,plain,
! [X0,X1] :
( ssPv5(X0)
| ~ ssPv5(X1)
| ~ ssRr(X0,X1)
| ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv3(X0)
| ssPv4(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f210]) ).
fof(f212,plain,
! [X0] :
( ssPv5(X0)
| ~ ssPv5(skf1(X0))
| ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv3(X0)
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f211,f32]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ~ ssPv6(skf1(X0))
| ~ ssRr(skf1(X0),X2)
| ~ ssPv5(X1)
| ~ ssRr(skf1(X0),X1)
| ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv7(skf1(skf1(X0)))
| ssPv8(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f183,f146]) ).
fof(f214,plain,
! [X0,X1] :
( ssPv8(skf1(X0))
| ssPv5(skf1(X0))
| ~ ssPv5(X1)
| ~ ssRr(skf1(X0),X1)
| ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv7(skf1(skf1(X0)))
| ssPv8(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f183,f108]) ).
fof(f216,plain,
! [X0] :
( ssPv5(skf1(X0))
| ~ ssPv5(skf1(skf1(X0)))
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv8(skf1(X0))
| ssPv2(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f207,f32]) ).
fof(f217,plain,
! [X0] :
( ssPv8(skf1(X0))
| ssPv5(skf1(X0))
| ~ ssPv5(skf1(skf1(X0)))
| ssPv4(X0)
| ssPv2(X0)
| ssPv8(X0)
| ssPv6(X0)
| ssPv7(skf1(skf1(X0)))
| ssPv8(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f214,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN743-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n001.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 11:19:36 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.37 % Drodi V4.1.1
% 0.13/5.45 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.13/5.45 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/5.48 % Elapsed time: 0.104383 seconds
% 0.13/5.48 % CPU time: 0.648010 seconds
% 0.13/5.48 % Total memory used: 26.172 MB
% 0.13/5.48 % Net memory used: 24.387 MB
%------------------------------------------------------------------------------