TSTP Solution File: SYN572-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN572-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:08:52 EDT 2023

% Result   : Unsatisfiable 272.04s 36.85s
% Output   : CNFRefutation 272.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   87 (  22 unt;   0 nHn;  68 RR)
%            Number of literals    :  201 (   0 equ; 118 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  234 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

cnf(c_51,negated_conjecture,
    p4(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).

cnf(c_52,negated_conjecture,
    p4(f10(f9(X0)),f10(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).

cnf(c_53,negated_conjecture,
    p2(f3(X0,f5(f7(f8(c13)))),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

cnf(c_57,negated_conjecture,
    ( ~ p2(X0,X1)
    | p4(f10(X0),f10(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_9) ).

cnf(c_59,negated_conjecture,
    p2(f3(X0,f9(X0)),f5(f7(f8(c13)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).

cnf(c_60,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

cnf(c_63,negated_conjecture,
    p12(f10(f3(X0,X1)),f11(f10(X0),f10(X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_15) ).

cnf(c_64,negated_conjecture,
    ~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_16) ).

cnf(c_65,negated_conjecture,
    p2(f3(X0,f3(X1,X2)),f3(f3(X0,X1),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).

cnf(c_66,negated_conjecture,
    ( ~ p4(X0,X1)
    | ~ p4(X2,X3)
    | ~ p12(X0,X2)
    | p12(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_18) ).

cnf(c_67,negated_conjecture,
    ( ~ p4(X0,X1)
    | ~ p4(X2,X3)
    | p4(f11(X0,X2),f11(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_19) ).

cnf(c_68,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | p2(f3(X0,X2),f3(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).

cnf(c_160,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | ~ p2(X2_13,X3_13)
    | p2(f3(X0_13,X2_13),f3(X1_13,X3_13)) ),
    inference(subtyping,[status(esa)],[c_68]) ).

cnf(c_161,negated_conjecture,
    ( ~ p4(X0_14,X1_14)
    | ~ p4(X2_14,X3_14)
    | p4(f11(X0_14,X2_14),f11(X1_14,X3_14)) ),
    inference(subtyping,[status(esa)],[c_67]) ).

cnf(c_162,negated_conjecture,
    ( ~ p4(X0_14,X1_14)
    | ~ p4(X2_14,X3_14)
    | ~ p12(X0_14,X2_14)
    | p12(X1_14,X3_14) ),
    inference(subtyping,[status(esa)],[c_66]) ).

cnf(c_163,negated_conjecture,
    p2(f3(X0_13,f3(X1_13,X2_13)),f3(f3(X0_13,X1_13),X2_13)),
    inference(subtyping,[status(esa)],[c_65]) ).

cnf(c_165,negated_conjecture,
    p12(f10(f3(X0_13,X1_13)),f11(f10(X0_13),f10(X1_13))),
    inference(subtyping,[status(esa)],[c_63]) ).

cnf(c_168,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | ~ p2(X0_13,X2_13)
    | p2(X1_13,X2_13) ),
    inference(subtyping,[status(esa)],[c_60]) ).

cnf(c_169,negated_conjecture,
    p2(f3(X0_13,f9(X0_13)),f5(f7(f8(c13)))),
    inference(subtyping,[status(esa)],[c_59]) ).

cnf(c_171,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | p4(f10(X0_13),f10(X1_13)) ),
    inference(subtyping,[status(esa)],[c_57]) ).

cnf(c_175,negated_conjecture,
    p2(f3(X0_13,f5(f7(f8(c13)))),X0_13),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_176,negated_conjecture,
    p4(f10(f9(X0_13)),f10(X0_13)),
    inference(subtyping,[status(esa)],[c_52]) ).

cnf(c_177,negated_conjecture,
    p4(X0_14,X0_14),
    inference(subtyping,[status(esa)],[c_51]) ).

cnf(c_179,negated_conjecture,
    p2(X0_13,X0_13),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_181,plain,
    p2(c14,c14),
    inference(instantiation,[status(thm)],[c_179]) ).

cnf(c_217,plain,
    ( ~ p2(f3(X0_13,X1_13),X2_13)
    | p4(f10(f3(X0_13,X1_13)),f10(X2_13)) ),
    inference(instantiation,[status(thm)],[c_171]) ).

cnf(c_240,plain,
    ( ~ p2(X0_13,f3(X1_13,X2_13))
    | ~ p2(X0_13,X3_13)
    | p2(f3(X1_13,X2_13),X3_13) ),
    inference(instantiation,[status(thm)],[c_168]) ).

cnf(c_244,plain,
    ( ~ p2(f3(X0_13,f5(f7(f8(c13)))),X0_13)
    | p4(f10(f3(X0_13,f5(f7(f8(c13))))),f10(X0_13)) ),
    inference(instantiation,[status(thm)],[c_217]) ).

cnf(c_337,plain,
    ( ~ p2(f3(X0_13,X1_13),f3(X2_13,X3_13))
    | ~ p2(f3(X0_13,X1_13),X4_13)
    | p2(f3(X2_13,X3_13),X4_13) ),
    inference(instantiation,[status(thm)],[c_240]) ).

cnf(c_442,plain,
    ( ~ p2(f3(X0_13,X1_13),f3(X2_13,X3_13))
    | ~ p2(f3(X0_13,X1_13),f3(X4_13,X5_13))
    | p2(f3(X2_13,X3_13),f3(X4_13,X5_13)) ),
    inference(instantiation,[status(thm)],[c_337]) ).

cnf(c_546,plain,
    p4(f11(f10(X0_13),f10(X1_13)),f11(f10(X0_13),f10(X1_13))),
    inference(instantiation,[status(thm)],[c_177]) ).

cnf(c_734,plain,
    ( ~ p12(f10(f3(X0_13,X1_13)),f11(f10(X2_13),f10(X3_13)))
    | ~ p4(f11(f10(X2_13),f10(X3_13)),X0_14)
    | ~ p4(f10(f3(X0_13,X1_13)),X1_14)
    | p12(X1_14,X0_14) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_814,plain,
    ( ~ p4(f11(f10(X0_13),f10(X1_13)),X0_14)
    | ~ p4(f10(f3(X0_13,X1_13)),X1_14)
    | p12(X1_14,X0_14) ),
    inference(resolution,[status(thm)],[c_162,c_165]) ).

cnf(c_1139,plain,
    ( ~ p4(f11(f10(X0_13),f10(X1_13)),f11(f10(X0_13),f10(X1_13)))
    | ~ p12(f10(f3(X2_13,X3_13)),f11(f10(X0_13),f10(X1_13)))
    | ~ p4(f10(f3(X2_13,X3_13)),X0_14)
    | p12(X0_14,f11(f10(X0_13),f10(X1_13))) ),
    inference(instantiation,[status(thm)],[c_734]) ).

cnf(c_1362,plain,
    ( ~ p2(X0_13,f5(f7(f8(c13))))
    | ~ p2(X1_13,X2_13)
    | p2(f3(X1_13,X0_13),f3(X2_13,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_1376,plain,
    ( ~ p2(f3(X0_13,X1_13),f3(X2_13,f5(f7(f8(c13)))))
    | ~ p2(f3(X0_13,X1_13),f3(X3_13,X4_13))
    | p2(f3(X3_13,X4_13),f3(X2_13,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_442]) ).

cnf(c_1733,plain,
    ( ~ p2(f3(X0_13,f9(X0_13)),f5(f7(f8(c13))))
    | ~ p2(X1_13,X2_13)
    | p2(f3(X1_13,f3(X0_13,f9(X0_13))),f3(X2_13,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_1362]) ).

cnf(c_3272,plain,
    ( ~ p2(f3(X0_13,f3(X1_13,f9(X1_13))),f3(X2_13,f5(f7(f8(c13)))))
    | ~ p2(f3(X0_13,f3(X1_13,f9(X1_13))),f3(X3_13,X4_13))
    | p2(f3(X3_13,X4_13),f3(X2_13,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_1376]) ).

cnf(c_13108,plain,
    ( ~ p2(f3(X0_13,f3(X1_13,f9(X1_13))),f3(f3(X0_13,X1_13),f9(X1_13)))
    | ~ p2(f3(X0_13,f3(X1_13,f9(X1_13))),f3(X2_13,f5(f7(f8(c13)))))
    | p2(f3(f3(X0_13,X1_13),f9(X1_13)),f3(X2_13,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_3272]) ).

cnf(c_13109,plain,
    p2(f3(X0_13,f3(X1_13,f9(X1_13))),f3(f3(X0_13,X1_13),f9(X1_13))),
    inference(instantiation,[status(thm)],[c_163]) ).

cnf(c_577188,plain,
    ( ~ p12(f10(f3(X0_13,X1_13)),f11(f10(X0_13),f10(X1_13)))
    | ~ p4(f11(f10(X0_13),f10(X1_13)),X0_14)
    | ~ p4(f10(f3(X0_13,X1_13)),X1_14)
    | p12(X1_14,X0_14) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_577189,plain,
    ( ~ p4(f11(f10(X0_13),f10(X1_13)),X0_14)
    | ~ p4(f10(f3(X0_13,X1_13)),X1_14)
    | p12(X1_14,X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_577188,c_814]) ).

cnf(c_577192,plain,
    ( ~ p4(f11(f10(X0_13),f10(X1_13)),X0_14)
    | ~ p4(f10(f3(X0_13,X1_13)),f10(X2_13))
    | p12(f10(X2_13),X0_14) ),
    inference(instantiation,[status(thm)],[c_577189]) ).

cnf(c_577210,plain,
    p4(f10(f3(X0_13,X1_13)),f10(f3(X0_13,X1_13))),
    inference(instantiation,[status(thm)],[c_177]) ).

cnf(c_577260,plain,
    ( ~ p4(f10(X0_13),X0_14)
    | ~ p4(f10(X1_13),X1_14)
    | p4(f11(f10(X0_13),f10(X1_13)),f11(X0_14,X1_14)) ),
    inference(instantiation,[status(thm)],[c_161]) ).

cnf(c_577276,plain,
    ( ~ p4(f10(X0_13),f10(X1_13))
    | ~ p4(f10(X2_13),X0_14)
    | p4(f11(f10(X2_13),f10(X0_13)),f11(X0_14,f10(X1_13))) ),
    inference(instantiation,[status(thm)],[c_577260]) ).

cnf(c_577396,plain,
    ( ~ p4(f10(X0_13),f10(X1_13))
    | ~ p4(f10(X2_13),f10(X3_13))
    | p4(f11(f10(X2_13),f10(X0_13)),f11(f10(X3_13),f10(X1_13))) ),
    inference(instantiation,[status(thm)],[c_577276]) ).

cnf(c_577451,plain,
    ( ~ p12(f10(f3(X0_13,X1_13)),f11(f10(X2_13),f10(X3_13)))
    | ~ p4(f11(f10(X2_13),f10(X3_13)),X0_14)
    | ~ p4(f10(f3(X0_13,X1_13)),X1_14)
    | p12(X1_14,X0_14) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_577801,plain,
    ( ~ p4(f11(f10(X0_13),f10(X1_13)),f11(f10(X0_13),f10(X1_13)))
    | ~ p12(f10(f3(X2_13,X3_13)),f11(f10(X0_13),f10(X1_13)))
    | ~ p4(f10(f3(X2_13,X3_13)),X0_14)
    | p12(X0_14,f11(f10(X0_13),f10(X1_13))) ),
    inference(instantiation,[status(thm)],[c_577451]) ).

cnf(c_579138,plain,
    ( ~ p12(f10(f3(X2_13,X3_13)),f11(f10(X0_13),f10(X1_13)))
    | ~ p4(f10(f3(X2_13,X3_13)),X0_14)
    | p12(X0_14,f11(f10(X0_13),f10(X1_13))) ),
    inference(global_subsumption_just,[status(thm)],[c_577801,c_546,c_1139]) ).

cnf(c_579139,plain,
    ( ~ p12(f10(f3(X0_13,X1_13)),f11(f10(X2_13),f10(X3_13)))
    | ~ p4(f10(f3(X0_13,X1_13)),X0_14)
    | p12(X0_14,f11(f10(X2_13),f10(X3_13))) ),
    inference(renaming,[status(thm)],[c_579138]) ).

cnf(c_579148,plain,
    ( ~ p12(f10(f3(X0_13,f5(f7(f8(c13))))),f11(f10(X1_13),f10(X2_13)))
    | ~ p4(f10(f3(X0_13,f5(f7(f8(c13))))),f10(X0_13))
    | p12(f10(X0_13),f11(f10(X1_13),f10(X2_13))) ),
    inference(instantiation,[status(thm)],[c_579139]) ).

cnf(c_582595,plain,
    ( ~ p12(f10(f3(X0_13,f5(f7(f8(c13))))),f11(f10(X1_13),f10(X2_13)))
    | p12(f10(X0_13),f11(f10(X1_13),f10(X2_13))) ),
    inference(global_subsumption_just,[status(thm)],[c_579148,c_175,c_244,c_579148]) ).

cnf(c_680108,plain,
    ( ~ p4(f11(f10(X0_13),f10(X1_13)),f11(f10(X2_13),f10(X3_13)))
    | ~ p4(f10(f3(X0_13,X1_13)),f10(X4_13))
    | p12(f10(X4_13),f11(f10(X2_13),f10(X3_13))) ),
    inference(instantiation,[status(thm)],[c_577192]) ).

cnf(c_705493,plain,
    ( ~ p12(f10(f3(c14,f5(f7(f8(c13))))),f11(f10(f3(c14,c15)),f10(c15)))
    | p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))) ),
    inference(instantiation,[status(thm)],[c_582595]) ).

cnf(c_721076,plain,
    ( ~ p4(f11(f10(X0_13),f10(X1_13)),f11(f10(f3(c14,c15)),f10(c15)))
    | ~ p4(f10(f3(X0_13,X1_13)),f10(f3(c14,f5(f7(f8(c13))))))
    | p12(f10(f3(c14,f5(f7(f8(c13))))),f11(f10(f3(c14,c15)),f10(c15))) ),
    inference(instantiation,[status(thm)],[c_680108]) ).

cnf(c_736242,plain,
    ( ~ p4(f10(X0_13),f10(f3(c14,c15)))
    | ~ p4(f10(X1_13),f10(c15))
    | p4(f11(f10(X0_13),f10(X1_13)),f11(f10(f3(c14,c15)),f10(c15))) ),
    inference(instantiation,[status(thm)],[c_577396]) ).

cnf(c_740185,plain,
    ( ~ p4(f10(f3(X0_13,X1_13)),f10(f3(c14,f5(f7(f8(c13))))))
    | ~ p4(f11(f10(X0_13),f10(X1_13)),f11(f10(f3(c14,c15)),f10(c15))) ),
    inference(global_subsumption_just,[status(thm)],[c_721076,c_64,c_705493,c_721076]) ).

cnf(c_740186,plain,
    ( ~ p4(f11(f10(X0_13),f10(X1_13)),f11(f10(f3(c14,c15)),f10(c15)))
    | ~ p4(f10(f3(X0_13,X1_13)),f10(f3(c14,f5(f7(f8(c13)))))) ),
    inference(renaming,[status(thm)],[c_740185]) ).

cnf(c_752686,plain,
    ( ~ p4(f10(X0_13),f10(f3(c14,c15)))
    | ~ p4(f10(f9(c15)),f10(c15))
    | p4(f11(f10(X0_13),f10(f9(c15))),f11(f10(f3(c14,c15)),f10(c15))) ),
    inference(instantiation,[status(thm)],[c_736242]) ).

cnf(c_752687,plain,
    p4(f10(f9(c15)),f10(c15)),
    inference(instantiation,[status(thm)],[c_176]) ).

cnf(c_758494,plain,
    ( ~ p4(f10(X0_13),f10(f3(c14,c15)))
    | p4(f11(f10(X0_13),f10(f9(c15))),f11(f10(f3(c14,c15)),f10(c15))) ),
    inference(global_subsumption_just,[status(thm)],[c_752686,c_752686,c_752687]) ).

cnf(c_758503,plain,
    ( ~ p4(f10(f3(c14,c15)),f10(f3(c14,c15)))
    | p4(f11(f10(f3(c14,c15)),f10(f9(c15))),f11(f10(f3(c14,c15)),f10(c15))) ),
    inference(instantiation,[status(thm)],[c_758494]) ).

cnf(c_758504,plain,
    p4(f10(f3(c14,c15)),f10(f3(c14,c15))),
    inference(instantiation,[status(thm)],[c_577210]) ).

cnf(c_781020,plain,
    ( ~ p4(f11(f10(f3(c14,c15)),f10(f9(c15))),f11(f10(f3(c14,c15)),f10(c15)))
    | ~ p4(f10(f3(f3(c14,c15),f9(c15))),f10(f3(c14,f5(f7(f8(c13)))))) ),
    inference(instantiation,[status(thm)],[c_740186]) ).

cnf(c_888124,plain,
    ( ~ p2(f3(X0_13,X1_13),X2_13)
    | p4(f10(f3(X0_13,X1_13)),f10(X2_13)) ),
    inference(instantiation,[status(thm)],[c_171]) ).

cnf(c_888128,plain,
    ( ~ p2(f3(X0_13,X1_13),f3(X2_13,X3_13))
    | p4(f10(f3(X0_13,X1_13)),f10(f3(X2_13,X3_13))) ),
    inference(instantiation,[status(thm)],[c_888124]) ).

cnf(c_888130,plain,
    ( ~ p2(X0_13,f3(X1_13,X2_13))
    | ~ p2(X0_13,X3_13)
    | p2(f3(X1_13,X2_13),X3_13) ),
    inference(instantiation,[status(thm)],[c_168]) ).

cnf(c_888181,plain,
    ( ~ p2(f3(X0_13,X1_13),f3(X2_13,X3_13))
    | ~ p2(f3(X0_13,X1_13),X4_13)
    | p2(f3(X2_13,X3_13),X4_13) ),
    inference(instantiation,[status(thm)],[c_888130]) ).

cnf(c_888256,plain,
    ( ~ p2(f3(X0_13,X1_13),f3(X2_13,X3_13))
    | ~ p2(f3(X0_13,X1_13),f3(X4_13,X5_13))
    | p2(f3(X2_13,X3_13),f3(X4_13,X5_13)) ),
    inference(instantiation,[status(thm)],[c_888181]) ).

cnf(c_889186,plain,
    ( ~ p2(X0_13,f5(f7(f8(c13))))
    | ~ p2(X1_13,X2_13)
    | p2(f3(X1_13,X0_13),f3(X2_13,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_889196,plain,
    ( ~ p2(f3(X0_13,X1_13),f3(X2_13,f5(f7(f8(c13)))))
    | ~ p2(f3(X0_13,X1_13),f3(X3_13,X4_13))
    | p2(f3(X3_13,X4_13),f3(X2_13,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_888256]) ).

cnf(c_889882,plain,
    ( ~ p2(f3(X0_13,f9(X0_13)),f5(f7(f8(c13))))
    | ~ p2(X1_13,X2_13)
    | p2(f3(X1_13,f3(X0_13,f9(X0_13))),f3(X2_13,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_889186]) ).

cnf(c_892398,plain,
    ( ~ p2(X1_13,X2_13)
    | p2(f3(X1_13,f3(X0_13,f9(X0_13))),f3(X2_13,f5(f7(f8(c13))))) ),
    inference(global_subsumption_just,[status(thm)],[c_889882,c_169,c_1733]) ).

cnf(c_892399,plain,
    ( ~ p2(X0_13,X1_13)
    | p2(f3(X0_13,f3(X2_13,f9(X2_13))),f3(X1_13,f5(f7(f8(c13))))) ),
    inference(renaming,[status(thm)],[c_892398]) ).

cnf(c_892408,plain,
    ( ~ p2(f3(X0_13,f3(X1_13,f9(X1_13))),f3(X2_13,f5(f7(f8(c13)))))
    | ~ p2(f3(X0_13,f3(X1_13,f9(X1_13))),f3(X3_13,X4_13))
    | p2(f3(X3_13,X4_13),f3(X2_13,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_889196]) ).

cnf(c_909699,plain,
    ( ~ p2(f3(X0_13,f3(X1_13,f9(X1_13))),f3(f3(X0_13,X1_13),f9(X1_13)))
    | ~ p2(f3(X0_13,f3(X1_13,f9(X1_13))),f3(X2_13,f5(f7(f8(c13)))))
    | p2(f3(f3(X0_13,X1_13),f9(X1_13)),f3(X2_13,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_892408]) ).

cnf(c_912063,plain,
    ( ~ p2(f3(X0_13,f3(X1_13,f9(X1_13))),f3(X2_13,f5(f7(f8(c13)))))
    | p2(f3(f3(X0_13,X1_13),f9(X1_13)),f3(X2_13,f5(f7(f8(c13))))) ),
    inference(global_subsumption_just,[status(thm)],[c_909699,c_13108,c_13109]) ).

cnf(c_956853,plain,
    ( ~ p2(f3(f3(c14,c15),f9(c15)),f3(X0_13,X1_13))
    | p4(f10(f3(f3(c14,c15),f9(c15))),f10(f3(X0_13,X1_13))) ),
    inference(instantiation,[status(thm)],[c_888128]) ).

cnf(c_970523,plain,
    ( ~ p2(f3(f3(c14,c15),f9(c15)),f3(X0_13,f5(f7(f8(c13)))))
    | p4(f10(f3(f3(c14,c15),f9(c15))),f10(f3(X0_13,f5(f7(f8(c13)))))) ),
    inference(instantiation,[status(thm)],[c_956853]) ).

cnf(c_970524,plain,
    ( ~ p2(f3(c14,f3(c15,f9(c15))),f3(X0_13,f5(f7(f8(c13)))))
    | p2(f3(f3(c14,c15),f9(c15)),f3(X0_13,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_912063]) ).

cnf(c_970525,plain,
    ( ~ p2(f3(f3(c14,c15),f9(c15)),f3(c14,f5(f7(f8(c13)))))
    | p4(f10(f3(f3(c14,c15),f9(c15))),f10(f3(c14,f5(f7(f8(c13)))))) ),
    inference(instantiation,[status(thm)],[c_970523]) ).

cnf(c_970526,plain,
    ( ~ p2(f3(c14,f3(c15,f9(c15))),f3(c14,f5(f7(f8(c13)))))
    | p2(f3(f3(c14,c15),f9(c15)),f3(c14,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_970524]) ).

cnf(c_979834,plain,
    ( ~ p2(c14,X0_13)
    | p2(f3(c14,f3(c15,f9(c15))),f3(X0_13,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_892399]) ).

cnf(c_979835,plain,
    ( ~ p2(c14,c14)
    | p2(f3(c14,f3(c15,f9(c15))),f3(c14,f5(f7(f8(c13))))) ),
    inference(instantiation,[status(thm)],[c_979834]) ).

cnf(c_979836,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_979835,c_970526,c_970525,c_781020,c_758504,c_758503,c_181]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN572-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.17/0.33  % Computer : n008.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit : 300
% 0.17/0.33  % WCLimit  : 300
% 0.17/0.33  % DateTime : Sat Aug 26 20:53:02 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 272.04/36.85  % SZS status Started for theBenchmark.p
% 272.04/36.85  % SZS status Unsatisfiable for theBenchmark.p
% 272.04/36.85  
% 272.04/36.85  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 272.04/36.85  
% 272.04/36.85  ------  iProver source info
% 272.04/36.85  
% 272.04/36.85  git: date: 2023-05-31 18:12:56 +0000
% 272.04/36.85  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 272.04/36.85  git: non_committed_changes: false
% 272.04/36.85  git: last_make_outside_of_git: false
% 272.04/36.85  
% 272.04/36.85  ------ Parsing...successful
% 272.04/36.85  
% 272.04/36.85  
% 272.04/36.85  
% 272.04/36.85  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 272.04/36.85  
% 272.04/36.85  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 272.04/36.85  ------ Proving...
% 272.04/36.85  ------ Problem Properties 
% 272.04/36.85  
% 272.04/36.85  
% 272.04/36.85  clauses                                 20
% 272.04/36.85  conjectures                             20
% 272.04/36.85  EPR                                     7
% 272.04/36.85  Horn                                    20
% 272.04/36.85  unary                                   9
% 272.04/36.85  binary                                  5
% 272.04/36.85  lits                                    38
% 272.04/36.85  lits eq                                 0
% 272.04/36.85  fd_pure                                 0
% 272.04/36.85  fd_pseudo                               0
% 272.04/36.85  fd_cond                                 0
% 272.04/36.85  fd_pseudo_cond                          0
% 272.04/36.85  AC symbols                              0
% 272.04/36.85  
% 272.04/36.85  ------ Input Options Time Limit: Unbounded
% 272.04/36.85  
% 272.04/36.85  
% 272.04/36.85  ------ 
% 272.04/36.85  Current options:
% 272.04/36.85  ------ 
% 272.04/36.85  
% 272.04/36.85  
% 272.04/36.85  
% 272.04/36.85  
% 272.04/36.85  ------ Proving...
% 272.04/36.85  
% 272.04/36.85  
% 272.04/36.85  ------ Proving...
% 272.04/36.85  
% 272.04/36.85  
% 272.04/36.85  ------ Proving...
% 272.04/36.85  
% 272.04/36.85  
% 272.04/36.85  % SZS status Unsatisfiable for theBenchmark.p
% 272.04/36.85  
% 272.04/36.85  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 272.04/36.85  
% 272.04/36.86  
%------------------------------------------------------------------------------