%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN036-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 03:14:57 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 54
% Syntax : Number of formulae : 209 ( 1 unt; 28 def)
% Number of atoms : 1037 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 1315 ( 487 ~; 800 |; 0 &)
% ( 28 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 29 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-1 aty)
% Number of variables : 434 ( 434 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,U,V,W,X1,X2] :
( big_q(X2)
| ~ big_p(X1)
| big_q(W)
| big_q(f2(W))
| big_p(V)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,U,V,W,X1,X2] :
( big_q(X2)
| ~ big_p(X1)
| ~ big_q(W)
| ~ big_q(f2(W))
| big_p(V)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,U,V,W] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(W)
| ~ big_q(f2(W))
| big_p(V)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,U,V,Z,X5] :
( big_q(X5)
| big_p(c9)
| big_q(c8)
| ~ big_q(Z)
| big_p(V)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X,U,V,Z,X6] :
( ~ big_q(c10)
| ~ big_p(X6)
| big_q(c8)
| ~ big_q(Z)
| big_p(V)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X,U,V,Z,X5] :
( big_q(X5)
| big_p(c9)
| ~ big_q(c8)
| big_q(Z)
| big_p(V)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X,U,V,Z,X6] :
( ~ big_q(c10)
| ~ big_p(X6)
| ~ big_q(c8)
| big_q(Z)
| big_p(V)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X,U,V,W,X1,X2] :
( big_q(X2)
| ~ big_p(X1)
| big_q(W)
| big_q(f2(W))
| big_p(V)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X,U,V,W,X1,X2] :
( big_q(X2)
| ~ big_p(X1)
| ~ big_q(W)
| ~ big_q(f2(W))
| big_p(V)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X,U,V,Z,X5] :
( big_q(X5)
| big_p(c9)
| big_q(c8)
| ~ big_q(Z)
| big_p(V)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X,U,V,Z,X6] :
( ~ big_q(c10)
| ~ big_p(X6)
| big_q(c8)
| ~ big_q(Z)
| big_p(V)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X,U,V,Z,X5] :
( big_q(X5)
| big_p(c9)
| ~ big_q(c8)
| big_q(Z)
| big_p(V)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X,U,V,Z,X6] :
( ~ big_q(c10)
| ~ big_p(X6)
| ~ big_q(c8)
| big_q(Z)
| big_p(V)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X,W,X1,X2] :
( big_q(X2)
| ~ big_p(X1)
| big_q(W)
| big_q(f2(W))
| ~ big_p(c2)
| big_q(c1)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [Y,X3,W,X1,X2] :
( big_q(X2)
| ~ big_p(X1)
| big_q(W)
| big_q(f2(W))
| big_p(X3)
| big_q(c4)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
! [Y,X3,W,X1,X2] :
( big_q(X2)
| ~ big_p(X1)
| big_q(W)
| big_q(f2(W))
| big_p(X3)
| big_q(c4)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
! [X7,X8,X9,X13,X14,X15] :
( big_q(X15)
| ~ big_p(X14)
| big_q(c16)
| ~ big_q(X13)
| big_p(X9)
| ~ big_q(X8)
| big_p(X7)
| ~ big_p(c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
! [X7,X8,X9,X13,X14,X15] :
( big_q(X15)
| ~ big_p(X14)
| ~ big_q(c16)
| big_q(X13)
| big_p(X9)
| ~ big_q(X8)
| big_p(X7)
| ~ big_p(c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
! [X7,X8,X9,X16,X18] :
( ~ big_q(c20)
| ~ big_p(X18)
| ~ big_q(X16)
| ~ big_q(f4(X16))
| big_p(X9)
| ~ big_q(X8)
| big_p(X7)
| ~ big_p(c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [X7,X8,X9,X13,X14,X15] :
( big_q(X15)
| ~ big_p(X14)
| big_q(c16)
| ~ big_q(X13)
| big_p(X9)
| ~ big_q(X8)
| ~ big_p(X7)
| big_p(c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
! [X7,X8,X9,X13,X14,X15] :
( big_q(X15)
| ~ big_p(X14)
| ~ big_q(c16)
| big_q(X13)
| big_p(X9)
| ~ big_q(X8)
| ~ big_p(X7)
| big_p(c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,negated_conjecture,
! [X7,X8,X9,X16,X18] :
( ~ big_q(c20)
| ~ big_p(X18)
| ~ big_q(X16)
| ~ big_q(f4(X16))
| big_p(X9)
| ~ big_q(X8)
| ~ big_p(X7)
| big_p(c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
! [X10,X11,X16,X17] :
( big_q(X17)
| big_p(c19)
| big_q(X16)
| big_q(f4(X16))
| big_p(X11)
| big_q(c14)
| big_p(f3(X10))
| big_p(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f121,negated_conjecture,
! [X10,X12,X13,X14,X15] :
( big_q(X15)
| ~ big_p(X14)
| big_q(c16)
| ~ big_q(X13)
| ~ big_p(c15)
| ~ big_q(X12)
| ~ big_p(f3(X10))
| ~ big_p(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f123,negated_conjecture,
! [X10,X12,X13,X14,X15] :
( big_q(X15)
| ~ big_p(X14)
| ~ big_q(c16)
| big_q(X13)
| ~ big_p(c15)
| ~ big_q(X12)
| ~ big_p(f3(X10))
| ~ big_p(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f128,negated_conjecture,
! [X10,X12,X16,X18] :
( ~ big_q(c20)
| ~ big_p(X18)
| ~ big_q(X16)
| ~ big_q(f4(X16))
| ~ big_p(c15)
| ~ big_q(X12)
| ~ big_p(f3(X10))
| ~ big_p(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f129,plain,
( ! [X2] : big_q(X2)
| ! [X1] : ~ big_p(X1)
| ! [W] :
( big_q(W)
| big_q(f2(W))
| ! [V] : big_p(V)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| big_q(X3)
| big_q(f2(X3))
| big_p(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f133,plain,
( ! [X2] : big_q(X2)
| ! [X1] : ~ big_p(X1)
| ! [W] :
( ~ big_q(W)
| ~ big_q(f2(W))
| ! [V] : big_p(V)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| ~ big_q(X3)
| ~ big_q(f2(X3))
| big_p(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [W] :
( ~ big_q(W)
| ~ big_q(f2(W))
| ! [V] : big_p(V)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(X3)
| ~ big_q(f2(X3))
| big_p(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
( ! [X5] : big_q(X5)
| big_p(c9)
| big_q(c8)
| ! [Z] : ~ big_q(Z)
| ! [V] : big_p(V)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| big_p(c9)
| big_q(c8)
| ~ big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f139,plain,
( ~ big_q(c10)
| ! [X6] : ~ big_p(X6)
| big_q(c8)
| ! [Z] : ~ big_q(Z)
| ! [V] : big_p(V)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c10)
| ~ big_p(X4)
| big_q(c8)
| ~ big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f141,plain,
( ! [X5] : big_q(X5)
| big_p(c9)
| ~ big_q(c8)
| ! [Z] : big_q(Z)
| ! [V] : big_p(V)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| big_p(c9)
| ~ big_q(c8)
| big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
( ~ big_q(c10)
| ! [X6] : ~ big_p(X6)
| ~ big_q(c8)
| ! [Z] : big_q(Z)
| ! [V] : big_p(V)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c10)
| ~ big_p(X4)
| ~ big_q(c8)
| big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f161,plain,
( ! [X2] : big_q(X2)
| ! [X1] : ~ big_p(X1)
| ! [W] :
( big_q(W)
| big_q(f2(W))
| ! [V] : big_p(V)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| big_q(X3)
| big_q(f2(X3))
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f165,plain,
( ! [X2] : big_q(X2)
| ! [X1] : ~ big_p(X1)
| ! [W] :
( ~ big_q(W)
| ~ big_q(f2(W))
| ! [V] : big_p(V)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f166,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| ~ big_q(X3)
| ~ big_q(f2(X3))
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f169,plain,
( ! [X5] : big_q(X5)
| big_p(c9)
| big_q(c8)
| ! [Z] : ~ big_q(Z)
| ! [V] : big_p(V)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f170,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| big_p(c9)
| big_q(c8)
| ~ big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( ~ big_q(c10)
| ! [X6] : ~ big_p(X6)
| big_q(c8)
| ! [Z] : ~ big_q(Z)
| ! [V] : big_p(V)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f172,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c10)
| ~ big_p(X4)
| big_q(c8)
| ~ big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( ! [X5] : big_q(X5)
| big_p(c9)
| ~ big_q(c8)
| ! [Z] : big_q(Z)
| ! [V] : big_p(V)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| big_p(c9)
| ~ big_q(c8)
| big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( ~ big_q(c10)
| ! [X6] : ~ big_p(X6)
| ~ big_q(c8)
| ! [Z] : big_q(Z)
| ! [V] : big_p(V)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f176,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c10)
| ~ big_p(X4)
| ~ big_q(c8)
| big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( ! [X2] : big_q(X2)
| ! [X1] : ~ big_p(X1)
| ! [W] :
( big_q(W)
| big_q(f2(W))
| ~ big_p(c2)
| big_q(c1)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| ~ big_p(X2)
| big_q(X1)
| big_q(f2(X1))
| ~ big_p(c2)
| big_q(c1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f193,plain,
( ! [X2] : big_q(X2)
| ! [X1] : ~ big_p(X1)
| ! [W] :
( big_q(W)
| big_q(f2(W))
| ! [X3] : big_p(X3)
| big_q(c4)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(X2)
| big_q(f2(X2))
| big_p(X1)
| big_q(c4)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f225,plain,
( ! [X2] : big_q(X2)
| ! [X1] : ~ big_p(X1)
| ! [W] :
( big_q(W)
| big_q(f2(W))
| ! [X3] : big_p(X3)
| big_q(c4)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(X2)
| big_q(f2(X2))
| big_p(X1)
| big_q(c4)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f257,plain,
( ! [X15] : big_q(X15)
| ! [X14] : ~ big_p(X14)
| big_q(c16)
| ! [X13] : ~ big_q(X13)
| ! [X9] : big_p(X9)
| ! [X8] : ~ big_q(X8)
| ! [X7] : big_p(X7)
| ~ big_p(c11) ),
inference(miniscoping,[status(thm)],[f65]) ).
fof(f258,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| big_q(c16)
| ~ big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f261,plain,
( ! [X15] : big_q(X15)
| ! [X14] : ~ big_p(X14)
| ~ big_q(c16)
| ! [X13] : big_q(X13)
| ! [X9] : big_p(X9)
| ! [X8] : ~ big_q(X8)
| ! [X7] : big_p(X7)
| ~ big_p(c11) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| ~ big_q(c16)
| big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f271,plain,
( ~ big_q(c20)
| ! [X18] : ~ big_p(X18)
| ! [X16] :
( ~ big_q(X16)
| ~ big_q(f4(X16))
| ! [X9] : big_p(X9)
| ! [X8] : ~ big_q(X8)
| ! [X7] : big_p(X7)
| ~ big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f272,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c20)
| ~ big_p(X4)
| ~ big_q(X3)
| ~ big_q(f4(X3))
| big_p(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f289,plain,
( ! [X15] : big_q(X15)
| ! [X14] : ~ big_p(X14)
| big_q(c16)
| ! [X13] : ~ big_q(X13)
| ! [X9] : big_p(X9)
| ! [X8] : ~ big_q(X8)
| ! [X7] : ~ big_p(X7)
| big_p(c11) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f290,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| big_q(c16)
| ~ big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f293,plain,
( ! [X15] : big_q(X15)
| ! [X14] : ~ big_p(X14)
| ~ big_q(c16)
| ! [X13] : big_q(X13)
| ! [X9] : big_p(X9)
| ! [X8] : ~ big_q(X8)
| ! [X7] : ~ big_p(X7)
| big_p(c11) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f294,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| ~ big_q(c16)
| big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f303,plain,
( ~ big_q(c20)
| ! [X18] : ~ big_p(X18)
| ! [X16] :
( ~ big_q(X16)
| ~ big_q(f4(X16))
| ! [X9] : big_p(X9)
| ! [X8] : ~ big_q(X8)
| ! [X7] : ~ big_p(X7)
| big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f304,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c20)
| ~ big_p(X4)
| ~ big_q(X3)
| ~ big_q(f4(X3))
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f329,plain,
( ! [X17] : big_q(X17)
| big_p(c19)
| ! [X16] :
( big_q(X16)
| big_q(f4(X16))
| ! [X11] : big_p(X11)
| big_q(c14)
| ! [X10] :
( big_p(f3(X10))
| big_p(X10) ) ) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f330,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c19)
| big_q(X2)
| big_q(f4(X2))
| big_p(X1)
| big_q(c14)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f369,plain,
( ! [X15] : big_q(X15)
| ! [X14] : ~ big_p(X14)
| big_q(c16)
| ! [X13] : ~ big_q(X13)
| ~ big_p(c15)
| ! [X12] : ~ big_q(X12)
| ! [X10] :
( ~ big_p(f3(X10))
| ~ big_p(X10) ) ),
inference(miniscoping,[status(thm)],[f121]) ).
fof(f370,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(c16)
| ~ big_q(X2)
| ~ big_p(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f373,plain,
( ! [X15] : big_q(X15)
| ! [X14] : ~ big_p(X14)
| ~ big_q(c16)
| ! [X13] : big_q(X13)
| ~ big_p(c15)
| ! [X12] : ~ big_q(X12)
| ! [X10] :
( ~ big_p(f3(X10))
| ~ big_p(X10) ) ),
inference(miniscoping,[status(thm)],[f123]) ).
fof(f374,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| ~ big_q(c16)
| big_q(X2)
| ~ big_p(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f383,plain,
( ~ big_q(c20)
| ! [X18] : ~ big_p(X18)
| ! [X16] :
( ~ big_q(X16)
| ~ big_q(f4(X16))
| ~ big_p(c15)
| ! [X12] : ~ big_q(X12)
| ! [X10] :
( ~ big_p(f3(X10))
| ~ big_p(X10) ) ) ),
inference(miniscoping,[status(thm)],[f128]) ).
fof(f384,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c20)
| ~ big_p(X3)
| ~ big_q(X2)
| ~ big_q(f4(X2))
| ~ big_p(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f385,definition,
! [X0] :
( sQ0_spl
<=> ( big_p(f1(X0))
| big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f386,plain,
! [X0] :
( ~ sQ0_spl
| big_p(f1(X0))
| big_p(X0) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
! [X1] :
( sQ1_spl
<=> ~ big_q(X1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f389,plain,
! [X0] :
( ~ sQ1_spl
| ~ big_q(X0) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,definition,
! [X2] :
( sQ2_spl
<=> big_p(X2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f392,plain,
! [X0] :
( ~ sQ2_spl
| big_p(X0) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,definition,
! [X3] :
( sQ3_spl
<=> ( big_q(X3)
| big_q(f2(X3)) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f395,plain,
! [X0] :
( ~ sQ3_spl
| big_q(X0)
| big_q(f2(X0)) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,definition,
! [X4] :
( sQ4_spl
<=> ~ big_p(X4) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f398,plain,
! [X0] :
( ~ sQ4_spl
| ~ big_p(X0) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,definition,
! [X5] :
( sQ5_spl
<=> big_q(X5) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f401,plain,
! [X0] :
( ~ sQ5_spl
| big_q(X0) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( sQ5_spl
| sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f130,f385,f388,f391,f394,f397,f400]) ).
fof(f404,definition,
( sQ6_spl
<=> big_p(c6) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ6_spl
| big_p(c6) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,definition,
( sQ7_spl
<=> big_q(c7) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( sQ7_spl
| ~ big_q(c7) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f411,definition,
! [X3] :
( sQ8_spl
<=> ( ~ big_q(X3)
| ~ big_q(f2(X3)) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f412,plain,
! [X0] :
( ~ sQ8_spl
| ~ big_q(X0)
| ~ big_q(f2(X0)) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( sQ5_spl
| sQ4_spl
| sQ8_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f134,f385,f388,f391,f411,f397,f400]) ).
fof(f415,plain,
( ~ sQ7_spl
| sQ6_spl
| sQ8_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f136,f385,f388,f391,f411,f404,f407]) ).
fof(f416,definition,
( sQ9_spl
<=> big_q(c8) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f419,definition,
( sQ10_spl
<=> big_p(c9) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ10_spl
| big_p(c9) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( sQ5_spl
| sQ10_spl
| sQ9_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f138,f385,f388,f391,f416,f419,f400]) ).
fof(f423,definition,
( sQ11_spl
<=> big_q(c10) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( sQ11_spl
| ~ big_q(c10) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( ~ sQ11_spl
| sQ4_spl
| sQ9_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f140,f385,f388,f391,f416,f397,f423]) ).
fof(f427,plain,
( sQ10_spl
| ~ sQ9_spl
| sQ5_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f142,f385,f388,f391,f400,f416,f419]) ).
fof(f428,plain,
( ~ sQ11_spl
| sQ4_spl
| ~ sQ9_spl
| sQ5_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f144,f385,f388,f391,f400,f416,f397,f423]) ).
fof(f429,definition,
( sQ12_spl
<=> big_q(c1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( ~ sQ12_spl
| big_q(c1) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,definition,
( sQ13_spl
<=> big_p(c2) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( sQ13_spl
| ~ big_p(c2) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f443,definition,
! [X0] :
( sQ14_spl
<=> ( ~ big_p(f1(X0))
| ~ big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f444,plain,
! [X0] :
( ~ sQ14_spl
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( sQ5_spl
| sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f162,f443,f388,f391,f394,f397,f400]) ).
fof(f448,plain,
( sQ5_spl
| sQ4_spl
| sQ8_spl
| sQ2_spl
| sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f166,f443,f388,f391,f411,f397,f400]) ).
fof(f450,plain,
( sQ5_spl
| sQ10_spl
| sQ9_spl
| sQ2_spl
| sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f170,f443,f388,f391,f416,f419,f400]) ).
fof(f451,plain,
( ~ sQ11_spl
| sQ4_spl
| sQ9_spl
| sQ2_spl
| sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f172,f443,f388,f391,f416,f397,f423]) ).
fof(f452,plain,
( sQ10_spl
| ~ sQ9_spl
| sQ5_spl
| sQ2_spl
| sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f174,f443,f388,f391,f400,f416,f419]) ).
fof(f453,plain,
( ~ sQ11_spl
| sQ4_spl
| ~ sQ9_spl
| sQ5_spl
| sQ2_spl
| sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f176,f443,f388,f391,f400,f416,f397,f423]) ).
fof(f454,plain,
( sQ5_spl
| sQ4_spl
| sQ3_spl
| ~ sQ13_spl
| sQ12_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f178,f443,f429,f432,f394,f397,f400]) ).
fof(f462,definition,
( sQ15_spl
<=> big_p(c3) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f465,definition,
( sQ16_spl
<=> big_q(c4) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ16_spl
| big_q(c4) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( sQ5_spl
| sQ4_spl
| sQ3_spl
| sQ16_spl
| sQ2_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f194,f462,f391,f465,f394,f397,f400]) ).
fof(f487,plain,
( sQ5_spl
| sQ3_spl
| sQ2_spl
| sQ16_spl
| sQ4_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f226,f462,f397,f465,f391,f394,f400]) ).
fof(f503,definition,
( sQ18_spl
<=> big_p(c11) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f506,definition,
( sQ19_spl
<=> big_q(c16) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( sQ5_spl
| sQ4_spl
| sQ19_spl
| sQ1_spl
| sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f258,f503,f391,f388,f506,f397,f400]) ).
fof(f513,definition,
( sQ21_spl
<=> big_q(c18) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( sQ21_spl
| ~ big_q(c18) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f517,plain,
( sQ4_spl
| ~ sQ19_spl
| sQ5_spl
| sQ1_spl
| sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f262,f503,f391,f388,f400,f506,f397]) ).
fof(f519,definition,
! [X3] :
( sQ22_spl
<=> ( big_q(X3)
| big_q(f4(X3)) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f520,plain,
! [X0] :
( ~ sQ22_spl
| big_q(X0)
| big_q(f4(X0)) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
( sQ23_spl
<=> big_p(c19) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ23_spl
| big_p(c19) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f526,definition,
( sQ24_spl
<=> big_q(c20) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( sQ24_spl
| ~ big_q(c20) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f530,definition,
! [X3] :
( sQ25_spl
<=> ( ~ big_q(X3)
| ~ big_q(f4(X3)) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f531,plain,
! [X0] :
( ~ sQ25_spl
| ~ big_q(X0)
| ~ big_q(f4(X0)) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f534,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ25_spl
| sQ1_spl
| sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f272,f503,f391,f388,f530,f397,f526]) ).
fof(f549,plain,
( sQ5_spl
| sQ19_spl
| sQ2_spl
| sQ1_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f290,f503,f397,f388,f391,f506,f400]) ).
fof(f551,plain,
( ~ sQ19_spl
| sQ5_spl
| sQ2_spl
| sQ1_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f294,f503,f397,f388,f391,f400,f506]) ).
fof(f556,plain,
( ~ sQ24_spl
| sQ25_spl
| sQ2_spl
| sQ1_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f304,f503,f397,f388,f391,f530,f526]) ).
fof(f565,definition,
! [X0] :
( sQ28_spl
<=> ( big_p(f3(X0))
| big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f566,plain,
! [X0] :
( ~ sQ28_spl
| big_p(f3(X0))
| big_p(X0) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,definition,
( sQ29_spl
<=> big_q(c14) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ29_spl
| big_q(c14) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f575,plain,
( sQ5_spl
| sQ23_spl
| sQ22_spl
| sQ2_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f330,f565,f568,f391,f519,f522,f400]) ).
fof(f579,definition,
( sQ30_spl
<=> big_p(c15) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( sQ30_spl
| ~ big_p(c15) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f590,definition,
! [X0] :
( sQ31_spl
<=> ( ~ big_p(f3(X0))
| ~ big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f591,plain,
! [X0] :
( ~ sQ31_spl
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f601,plain,
( sQ5_spl
| sQ4_spl
| sQ19_spl
| ~ sQ30_spl
| sQ1_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f370,f590,f388,f579,f506,f397,f400]) ).
fof(f603,plain,
( sQ4_spl
| ~ sQ19_spl
| sQ5_spl
| ~ sQ30_spl
| sQ1_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f374,f590,f388,f579,f400,f506,f397]) ).
fof(f608,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ25_spl
| ~ sQ30_spl
| sQ1_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f384,f590,f388,f579,f530,f397,f526]) ).
fof(f609,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f401,f389]) ).
fof(f610,plain,
( ~ sQ5_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f609]) ).
fof(f611,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f392,f398]) ).
fof(f612,plain,
( ~ sQ2_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( sQ30_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f581,f392]) ).
fof(f614,plain,
( sQ30_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f613]) ).
fof(f615,plain,
( ~ sQ23_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f398]) ).
fof(f616,plain,
( ~ sQ23_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f615]) ).
fof(f617,plain,
( sQ24_spl
| ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f528,f401]) ).
fof(f618,plain,
( sQ24_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f617]) ).
fof(f619,plain,
( ~ sQ29_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f389]) ).
fof(f620,plain,
( ~ sQ29_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f619]) ).
fof(f621,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ2_spl
| ~ big_p(f3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f591,f392]) ).
fof(f622,plain,
( ~ sQ2_spl
| ~ sQ31_spl
| $false ),
inference(resolution,[status(thm)],[f621,f392]) ).
fof(f623,plain,
( ~ sQ2_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f622]) ).
fof(f624,plain,
( ~ sQ10_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f420,f398]) ).
fof(f625,plain,
( ~ sQ10_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f624]) ).
fof(f626,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ5_spl
| ~ big_q(f4(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f531,f401]) ).
fof(f627,plain,
( sQ11_spl
| ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f425,f401]) ).
fof(f628,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f626,f401]) ).
fof(f629,plain,
( ~ sQ25_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f628]) ).
fof(f630,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f466,f389]) ).
fof(f631,plain,
( ~ sQ16_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f630]) ).
fof(f632,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f405,f398]) ).
fof(f633,plain,
( ~ sQ6_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f632]) ).
fof(f634,plain,
( ~ sQ1_spl
| ~ sQ22_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f389,f635]) ).
fof(f635,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ1_spl
| big_q(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f389]) ).
fof(f636,plain,
( ~ sQ1_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f634]) ).
fof(f637,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ4_spl
| big_p(f3(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f566,f398]) ).
fof(f638,plain,
( ~ sQ28_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f637,f398]) ).
fof(f639,plain,
( ~ sQ28_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f638]) ).
fof(f640,plain,
( ~ sQ12_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f389]) ).
fof(f641,plain,
( ~ sQ12_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f640]) ).
fof(f644,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ1_spl
| big_q(f2(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f395,f389]) ).
fof(f645,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f644,f389]) ).
fof(f646,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f645]) ).
fof(f647,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ4_spl
| big_p(f1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f398]) ).
fof(f648,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| $false ),
inference(resolution,[status(thm)],[f647,f398]) ).
fof(f649,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f648]) ).
fof(f650,plain,
( sQ13_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f434,f392]) ).
fof(f651,plain,
( sQ13_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f650]) ).
fof(f652,plain,
( sQ11_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f627]) ).
fof(f655,plain,
( sQ21_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f515,f401]) ).
fof(f656,plain,
( sQ21_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f655]) ).
fof(f657,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ2_spl
| ~ big_p(f1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f444,f392]) ).
fof(f658,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| $false ),
inference(resolution,[status(thm)],[f657,f392]) ).
fof(f659,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f658]) ).
fof(f660,plain,
( sQ7_spl
| ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f409,f401]) ).
fof(f661,plain,
( sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f660]) ).
fof(f662,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ5_spl
| ~ big_q(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f412,f401]) ).
fof(f663,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f662,f401]) ).
fof(f664,plain,
( ~ sQ8_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f663]) ).
fof(f665,plain,
$false,
inference(sat_refutation,[status(thm)],[f403,f414,f415,f422,f426,f427,f428,f446,f448,f450,f451,f452,f453,f454,f468,f487,f509,f517,f534,f549,f551,f556,f575,f601,f603,f608,f610,f612,f614,f616,f618,f620,f623,f625,f629,f631,f633,f636,f639,f641,f646,f649,f651,f652,f656,f659,f661,f664]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN036-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.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 : Mon Sep 21 10:39:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.043740 seconds
% 0.12/0.40 % CPU time: 0.078566 seconds
% 0.12/0.40 % Total memory used: 5.162 MB
% 0.12/0.40 % Net memory used: 5.084 MB
%------------------------------------------------------------------------------