TSTP Solution File: SYN159-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN159-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 03:05:34 EDT 2023

% Result   : Unsatisfiable 4.02s 1.11s
% Output   : CNFRefutation 4.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   62
% Syntax   : Number of clauses     :  161 (  25 unt;   7 nHn; 156 RR)
%            Number of literals    :  412 (   0 equ; 259 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   48 (  47 usr;  16 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  158 (  48 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ n5(a,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c_50,plain,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).

cnf(c_51,plain,
    q0(e,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_2) ).

cnf(c_54,plain,
    s0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).

cnf(c_55,plain,
    q0(b,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_6) ).

cnf(c_56,plain,
    n0(d,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).

cnf(c_58,plain,
    r0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).

cnf(c_59,plain,
    p0(b,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_10) ).

cnf(c_60,plain,
    n0(e,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_11) ).

cnf(c_62,plain,
    r0(e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).

cnf(c_63,plain,
    p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(c_67,plain,
    p0(c,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_18) ).

cnf(c_68,plain,
    m0(X0,d,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(c_69,plain,
    l0(a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).

cnf(c_76,plain,
    m0(e,b,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_27) ).

cnf(c_77,plain,
    k0(e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).

cnf(c_78,plain,
    q0(d,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_29) ).

cnf(c_79,plain,
    n0(e,e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).

cnf(c_81,plain,
    k0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).

cnf(c_83,plain,
    n0(c,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).

cnf(c_85,plain,
    q0(a,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).

cnf(c_86,plain,
    n0(b,a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).

cnf(c_88,plain,
    ( ~ n0(X0,X1)
    | k1(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).

cnf(c_89,plain,
    ( ~ n0(X0,X1)
    | l1(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).

cnf(c_90,plain,
    ( ~ m0(X0,X1,X2)
    | ~ p0(X2,X1)
    | ~ r0(X3)
    | l1(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_003) ).

cnf(c_108,plain,
    ( ~ l0(X0)
    | ~ k0(X1)
    | m1(X0,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_021) ).

cnf(c_137,plain,
    ( ~ p0(b,X0)
    | ~ l0(X1)
    | ~ s0(b)
    | n1(X1,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_050) ).

cnf(c_141,plain,
    ( ~ n1(X0,X1,X0)
    | ~ l1(X2,X0)
    | ~ l0(X2)
    | n1(X0,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_054) ).

cnf(c_155,plain,
    ( ~ k0(X0)
    | p1(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).

cnf(c_175,plain,
    ( ~ l0(a)
    | p1(a,a,a) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_088) ).

cnf(c_177,plain,
    ( ~ r0(e)
    | ~ k0(e)
    | p1(e,e,e) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_090) ).

cnf(c_179,plain,
    ( ~ n0(X0,X1)
    | ~ p0(X2,X3)
    | q1(X3,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_092) ).

cnf(c_187,plain,
    ( ~ n0(X0,X1)
    | q1(X1,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_100) ).

cnf(c_200,plain,
    ( ~ m1(X0,X1,X1)
    | ~ r0(X2)
    | q1(X0,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_113) ).

cnf(c_211,plain,
    ( ~ q1(d,X0,d)
    | ~ q0(X1,X0)
    | ~ s0(d)
    | r1(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).

cnf(c_212,plain,
    ( ~ p0(X0,X0)
    | s1(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).

cnf(c_213,plain,
    ( ~ q0(X0,X1)
    | ~ s1(X2)
    | s1(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).

cnf(c_220,plain,
    ( ~ m0(X0,X1,X2)
    | ~ p0(X3,X3)
    | ~ s1(X1)
    | l2(X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).

cnf(c_224,plain,
    ( ~ p1(X0,X1,X2)
    | n2(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).

cnf(c_232,plain,
    ( ~ p1(X0,X1,e)
    | ~ r0(e)
    | p2(e,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_145) ).

cnf(c_242,plain,
    ( ~ p2(e,X0,X1)
    | ~ k1(X2)
    | p2(X0,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_155) ).

cnf(c_263,plain,
    ( ~ m1(X0,X1,X0)
    | p2(X1,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_176) ).

cnf(c_264,plain,
    ( ~ p1(X0,X0,X0)
    | ~ k0(X1)
    | q2(X0,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_177) ).

cnf(c_268,plain,
    ( ~ p1(X0,X0,X0)
    | q2(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).

cnf(c_269,plain,
    ( ~ n1(X0,X1,X2)
    | ~ p1(X1,X1,X2)
    | ~ q2(X0,X2,X1)
    | q2(X1,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_182) ).

cnf(c_273,plain,
    ( ~ l1(X0,X1)
    | q2(X1,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_186) ).

cnf(c_275,plain,
    ( ~ l0(X0)
    | ~ r1(X0)
    | r2(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_188) ).

cnf(c_276,plain,
    ( ~ q2(b,X0,b)
    | ~ s1(b)
    | s2(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_189) ).

cnf(c_297,plain,
    ( ~ n2(X0)
    | k3(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_210) ).

cnf(c_314,plain,
    ( ~ q0(X0,X1)
    | ~ s0(X2)
    | ~ r2(X3)
    | ~ s2(X1)
    | m3(X3,X3,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_227) ).

cnf(c_323,plain,
    ( ~ n2(X0)
    | m3(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_236) ).

cnf(c_327,plain,
    ( ~ p2(X0,X1,X2)
    | n3(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).

cnf(c_342,plain,
    ( ~ q2(X0,X1,X2)
    | ~ n0(X0,X1)
    | q3(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).

cnf(c_345,plain,
    ( ~ l2(X0,X0)
    | ~ s1(X1)
    | ~ r2(X2)
    | q3(X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_258) ).

cnf(c_354,plain,
    ( ~ p2(X0,X1,X2)
    | r3(X0,X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_267) ).

cnf(c_361,plain,
    ( ~ n0(c,d)
    | ~ q3(e,b)
    | ~ n3(e)
    | k4(c) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_274) ).

cnf(c_363,plain,
    ( ~ r3(X0,e,X1)
    | ~ q1(a,a,X1)
    | ~ q3(X0,X0)
    | k4(e) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_276) ).

cnf(c_371,plain,
    ( ~ m3(X0,X0,X0)
    | ~ k4(X1)
    | n4(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_284) ).

cnf(c_372,plain,
    ( ~ r3(X0,X1,X0)
    | ~ r0(X1)
    | p4(X1,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_285) ).

cnf(c_382,plain,
    ( ~ q2(X0,X1,X2)
    | ~ k3(X3,X3,X2)
    | ~ m3(X0,X4,X0)
    | q4(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).

cnf(c_394,plain,
    ( ~ p4(X0,X0,X1)
    | ~ n5(X0,X1)
    | ~ n4(X2,X3)
    | ~ q4(X4,X3)
    | n5(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_307) ).

cnf(c_402,plain,
    ( ~ s1(X0)
    | ~ k4(X0)
    | n5(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_315) ).

cnf(c_419,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_420,plain,
    m0(b,d,b),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_427,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(instantiation,[status(thm)],[c_212]) ).

cnf(c_438,plain,
    ( ~ n2(b)
    | m3(b,b,b) ),
    inference(instantiation,[status(thm)],[c_323]) ).

cnf(c_440,plain,
    ( ~ n2(b)
    | k3(b,b,b) ),
    inference(instantiation,[status(thm)],[c_297]) ).

cnf(c_442,plain,
    ( ~ p1(b,b,b)
    | n2(b) ),
    inference(instantiation,[status(thm)],[c_224]) ).

cnf(c_444,plain,
    ( ~ k0(b)
    | p1(b,b,b) ),
    inference(instantiation,[status(thm)],[c_155]) ).

cnf(c_475,plain,
    ( ~ p1(b,b,b)
    | q2(b,b,b) ),
    inference(instantiation,[status(thm)],[c_268]) ).

cnf(c_490,plain,
    ( ~ q2(b,b,b)
    | ~ s1(b)
    | s2(b) ),
    inference(instantiation,[status(thm)],[c_276]) ).

cnf(c_656,plain,
    ( ~ p1(X0,X1,e)
    | p2(e,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_62,c_232]) ).

cnf(c_672,plain,
    ( ~ q3(e,b)
    | ~ n3(e)
    | k4(c) ),
    inference(global_subsumption_just,[status(thm)],[c_361,c_83,c_361]) ).

cnf(c_689,plain,
    ( ~ q0(X1,X0)
    | ~ q1(d,X0,d)
    | r1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_50,c_211]) ).

cnf(c_690,plain,
    ( ~ q1(d,X0,d)
    | ~ q0(X1,X0)
    | r1(X1) ),
    inference(renaming,[status(thm)],[c_689]) ).

cnf(c_694,plain,
    ( ~ l0(X1)
    | n1(X1,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_137,c_54,c_63,c_137]) ).

cnf(c_695,plain,
    ( ~ l0(X0)
    | n1(X0,X1,X0) ),
    inference(renaming,[status(thm)],[c_694]) ).

cnf(c_752,plain,
    ( ~ k4(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_371]) ).

cnf(c_753,plain,
    ( ~ m3(X0,X0,X0)
    | n4(X0,X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_371]) ).

cnf(c_754,plain,
    ( sP20_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).

cnf(c_760,plain,
    ( ~ s1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_345]) ).

cnf(c_761,plain,
    ( q3(X0,X0)
    | ~ r2(X0)
    | ~ sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_split])],[c_345]) ).

cnf(c_762,plain,
    ( ~ l2(X0,X0)
    | ~ sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_split])],[c_345]) ).

cnf(c_763,plain,
    ( sP25_iProver_split
    | sP26_iProver_split
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_345]) ).

cnf(c_772,plain,
    ( m3(X0,X0,X0)
    | ~ r2(X0)
    | ~ sP33_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP33_iProver_split])],[c_314]) ).

cnf(c_773,plain,
    ( ~ s0(X0)
    | ~ sP34_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP34_iProver_split])],[c_314]) ).

cnf(c_774,plain,
    ( ~ q0(X0,X1)
    | ~ s2(X1)
    | ~ sP35_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP35_iProver_split])],[c_314]) ).

cnf(c_775,plain,
    ( sP33_iProver_split
    | sP34_iProver_split
    | sP35_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_314]) ).

cnf(c_816,plain,
    ( ~ k1(X0)
    | ~ sP62_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP62_iProver_split])],[c_242]) ).

cnf(c_817,plain,
    ( p2(X0,X1,X1)
    | ~ p2(e,X0,X1)
    | ~ sP63_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP63_iProver_split])],[c_242]) ).

cnf(c_818,plain,
    ( sP62_iProver_split
    | sP63_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_242]) ).

cnf(c_825,plain,
    ( ~ p0(X0,X0)
    | ~ sP68_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP68_iProver_split])],[c_220]) ).

cnf(c_826,plain,
    ( ~ m0(X0,X1,X2)
    | l2(X2,X2)
    | ~ s1(X1)
    | ~ sP69_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP69_iProver_split])],[c_220]) ).

cnf(c_827,plain,
    ( sP68_iProver_split
    | sP69_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_220]) ).

cnf(c_828,plain,
    ( ~ q0(X0,X1)
    | s1(X0)
    | ~ sP70_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP70_iProver_split])],[c_213]) ).

cnf(c_829,plain,
    ( sP25_iProver_split
    | sP70_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_213]) ).

cnf(c_830,plain,
    ( ~ r0(X0)
    | ~ sP71_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP71_iProver_split])],[c_200]) ).

cnf(c_873,plain,
    ( ~ m0(X0,X1,X2)
    | l1(X1,X0)
    | ~ p0(X2,X1)
    | ~ sP97_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP97_iProver_split])],[c_90]) ).

cnf(c_874,plain,
    ( sP71_iProver_split
    | sP97_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_90]) ).

cnf(c_878,plain,
    ( ~ s1(b)
    | ~ sP25_iProver_split ),
    inference(instantiation,[status(thm)],[c_760]) ).

cnf(c_880,plain,
    ( ~ s0(b)
    | ~ sP34_iProver_split ),
    inference(instantiation,[status(thm)],[c_773]) ).

cnf(c_883,plain,
    ( ~ k1(b)
    | ~ sP62_iProver_split ),
    inference(instantiation,[status(thm)],[c_816]) ).

cnf(c_884,plain,
    ( ~ r0(b)
    | ~ sP71_iProver_split ),
    inference(instantiation,[status(thm)],[c_830]) ).

cnf(c_888,plain,
    ( ~ l2(b,b)
    | ~ sP27_iProver_split ),
    inference(instantiation,[status(thm)],[c_762]) ).

cnf(c_893,plain,
    ( ~ p0(b,b)
    | ~ sP68_iProver_split ),
    inference(instantiation,[status(thm)],[c_825]) ).

cnf(c_915,plain,
    ( ~ q0(b,b)
    | ~ s2(b)
    | ~ sP35_iProver_split ),
    inference(instantiation,[status(thm)],[c_774]) ).

cnf(c_956,plain,
    ( ~ p1(e,e,e)
    | p2(e,e,e) ),
    inference(instantiation,[status(thm)],[c_656]) ).

cnf(c_971,plain,
    ( ~ n0(d,b)
    | k1(b) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_989,plain,
    ( ~ n0(b,a)
    | l1(a,a) ),
    inference(instantiation,[status(thm)],[c_89]) ).

cnf(c_1003,plain,
    ( ~ q0(d,X0)
    | ~ sP70_iProver_split
    | s1(d) ),
    inference(instantiation,[status(thm)],[c_828]) ).

cnf(c_1004,plain,
    ( ~ q0(d,b)
    | ~ sP70_iProver_split
    | s1(d) ),
    inference(instantiation,[status(thm)],[c_1003]) ).

cnf(c_1039,plain,
    ( ~ l0(a)
    | n1(a,X0,a) ),
    inference(instantiation,[status(thm)],[c_695]) ).

cnf(c_1040,plain,
    ( ~ l0(a)
    | n1(a,b,a) ),
    inference(instantiation,[status(thm)],[c_1039]) ).

cnf(c_1075,plain,
    ( ~ k0(X0)
    | ~ l0(a)
    | m1(a,X0,a) ),
    inference(instantiation,[status(thm)],[c_108]) ).

cnf(c_1127,plain,
    ( ~ n0(b,a)
    | q1(a,a,a) ),
    inference(instantiation,[status(thm)],[c_187]) ).

cnf(c_1204,plain,
    ( ~ m1(X0,e,X0)
    | p2(e,X0,e) ),
    inference(instantiation,[status(thm)],[c_263]) ).

cnf(c_1214,plain,
    ( ~ p2(X0,X1,e)
    | r3(X0,e,X0) ),
    inference(instantiation,[status(thm)],[c_354]) ).

cnf(c_1226,plain,
    ( ~ m0(X0,d,X1)
    | ~ s1(d)
    | ~ sP69_iProver_split
    | l2(X1,X1) ),
    inference(instantiation,[status(thm)],[c_826]) ).

cnf(c_1227,plain,
    ( ~ m0(b,d,b)
    | ~ s1(d)
    | ~ sP69_iProver_split
    | l2(b,b) ),
    inference(instantiation,[status(thm)],[c_1226]) ).

cnf(c_1260,plain,
    ( ~ p0(X0,X1)
    | ~ n0(e,b)
    | q1(X1,b,X1) ),
    inference(instantiation,[status(thm)],[c_179]) ).

cnf(c_1288,plain,
    ( ~ q2(e,e,X0)
    | ~ n0(e,e)
    | q3(e,X0) ),
    inference(instantiation,[status(thm)],[c_342]) ).

cnf(c_1289,plain,
    ( ~ q2(e,e,b)
    | ~ n0(e,e)
    | q3(e,b) ),
    inference(instantiation,[status(thm)],[c_1288]) ).

cnf(c_1302,plain,
    ( ~ m0(e,b,c)
    | ~ p0(c,b)
    | ~ sP97_iProver_split
    | l1(b,e) ),
    inference(instantiation,[status(thm)],[c_873]) ).

cnf(c_1498,plain,
    ( ~ l1(b,e)
    | q2(e,e,b) ),
    inference(instantiation,[status(thm)],[c_273]) ).

cnf(c_1525,plain,
    ( ~ p1(a,a,a)
    | ~ k0(b)
    | q2(a,b,b) ),
    inference(instantiation,[status(thm)],[c_264]) ).

cnf(c_1538,plain,
    ( ~ n1(a,b,X0)
    | ~ p1(b,b,X0)
    | ~ q2(a,X0,b)
    | q2(b,a,b) ),
    inference(instantiation,[status(thm)],[c_269]) ).

cnf(c_1539,plain,
    ( ~ n1(a,b,b)
    | ~ p1(b,b,b)
    | ~ q2(a,b,b)
    | q2(b,a,b) ),
    inference(instantiation,[status(thm)],[c_1538]) ).

cnf(c_1564,plain,
    ( ~ m1(a,e,a)
    | p2(e,a,e) ),
    inference(instantiation,[status(thm)],[c_1204]) ).

cnf(c_1565,plain,
    ( ~ l0(a)
    | ~ k0(e)
    | m1(a,e,a) ),
    inference(instantiation,[status(thm)],[c_1075]) ).

cnf(c_1614,plain,
    ( ~ q0(e,X0)
    | ~ sP70_iProver_split
    | s1(e) ),
    inference(instantiation,[status(thm)],[c_828]) ).

cnf(c_1617,plain,
    ( ~ p2(e,a,e)
    | r3(e,e,e) ),
    inference(instantiation,[status(thm)],[c_1214]) ).

cnf(c_1645,plain,
    ( ~ p0(X0,d)
    | ~ n0(e,b)
    | q1(d,b,d) ),
    inference(instantiation,[status(thm)],[c_1260]) ).

cnf(c_1647,plain,
    ( ~ n0(e,b)
    | ~ p0(b,d)
    | q1(d,b,d) ),
    inference(instantiation,[status(thm)],[c_1645]) ).

cnf(c_1747,plain,
    ( ~ p2(e,X0,e)
    | ~ sP63_iProver_split
    | p2(X0,e,e) ),
    inference(instantiation,[status(thm)],[c_817]) ).

cnf(c_1884,plain,
    ( ~ l0(a)
    | ~ r1(a)
    | r2(a) ),
    inference(instantiation,[status(thm)],[c_275]) ).

cnf(c_2011,plain,
    ( ~ n1(X0,X1,X0)
    | ~ l1(a,X0)
    | ~ l0(a)
    | n1(X0,X1,X1) ),
    inference(instantiation,[status(thm)],[c_141]) ).

cnf(c_2102,plain,
    ( ~ p2(X0,e,e)
    | r3(X0,e,X0) ),
    inference(instantiation,[status(thm)],[c_1214]) ).

cnf(c_2155,plain,
    ( ~ q1(d,X0,d)
    | ~ q0(a,X0)
    | r1(a) ),
    inference(instantiation,[status(thm)],[c_690]) ).

cnf(c_2156,plain,
    ( ~ q1(d,b,d)
    | ~ q0(a,b)
    | r1(a) ),
    inference(instantiation,[status(thm)],[c_2155]) ).

cnf(c_2188,plain,
    ( ~ p2(X0,X1,e)
    | n3(e) ),
    inference(instantiation,[status(thm)],[c_327]) ).

cnf(c_2232,plain,
    ( ~ q0(e,d)
    | ~ sP70_iProver_split
    | s1(e) ),
    inference(instantiation,[status(thm)],[c_1614]) ).

cnf(c_2259,plain,
    ( ~ r3(X0,e,a)
    | ~ q1(a,a,a)
    | ~ q3(X0,X0)
    | k4(e) ),
    inference(instantiation,[status(thm)],[c_363]) ).

cnf(c_2277,plain,
    ( ~ r2(a)
    | ~ sP26_iProver_split
    | q3(a,a) ),
    inference(instantiation,[status(thm)],[c_761]) ).

cnf(c_2280,plain,
    ( ~ r2(a)
    | ~ sP33_iProver_split
    | m3(a,a,a) ),
    inference(instantiation,[status(thm)],[c_772]) ).

cnf(c_2501,plain,
    ( ~ n1(a,X0,a)
    | ~ l1(a,a)
    | ~ l0(a)
    | n1(a,X0,X0) ),
    inference(instantiation,[status(thm)],[c_2011]) ).

cnf(c_2503,plain,
    ( ~ n1(a,b,a)
    | ~ l1(a,a)
    | ~ l0(a)
    | n1(a,b,b) ),
    inference(instantiation,[status(thm)],[c_2501]) ).

cnf(c_2824,plain,
    ( ~ p2(e,e,e)
    | n3(e) ),
    inference(instantiation,[status(thm)],[c_2188]) ).

cnf(c_3032,plain,
    ( ~ q1(a,a,a)
    | ~ r3(a,e,a)
    | ~ q3(a,a)
    | k4(e) ),
    inference(instantiation,[status(thm)],[c_2259]) ).

cnf(c_3033,plain,
    ( ~ p2(a,e,e)
    | r3(a,e,a) ),
    inference(instantiation,[status(thm)],[c_2102]) ).

cnf(c_3582,plain,
    ( ~ k4(c)
    | ~ sP20_iProver_split ),
    inference(instantiation,[status(thm)],[c_752]) ).

cnf(c_3634,plain,
    ( ~ p2(e,a,e)
    | ~ sP63_iProver_split
    | p2(a,e,e) ),
    inference(instantiation,[status(thm)],[c_1747]) ).

cnf(c_3822,plain,
    ( ~ p4(X0,X0,e)
    | ~ q4(X1,X2)
    | ~ n5(X0,e)
    | ~ n4(a,X2)
    | n5(a,e) ),
    inference(instantiation,[status(thm)],[c_394]) ).

cnf(c_4223,plain,
    ( ~ p4(e,e,e)
    | ~ q4(X0,X1)
    | ~ n4(a,X1)
    | ~ n5(e,e)
    | n5(a,e) ),
    inference(instantiation,[status(thm)],[c_3822]) ).

cnf(c_4243,plain,
    ( ~ s1(e)
    | ~ k4(e)
    | n5(e,e) ),
    inference(instantiation,[status(thm)],[c_402]) ).

cnf(c_4598,plain,
    ( ~ r3(e,e,e)
    | ~ r0(e)
    | p4(e,e,e) ),
    inference(instantiation,[status(thm)],[c_372]) ).

cnf(c_4605,plain,
    ( ~ p4(e,e,e)
    | ~ q4(X0,a)
    | ~ n5(e,e)
    | ~ n4(a,a)
    | n5(a,e) ),
    inference(instantiation,[status(thm)],[c_4223]) ).

cnf(c_4606,plain,
    ( ~ m3(a,a,a)
    | ~ sP21_iProver_split
    | n4(a,a) ),
    inference(instantiation,[status(thm)],[c_753]) ).

cnf(c_4607,plain,
    ( ~ p4(e,e,e)
    | ~ n5(e,e)
    | ~ n4(a,a)
    | ~ q4(b,a)
    | n5(a,e) ),
    inference(instantiation,[status(thm)],[c_4605]) ).

cnf(c_4792,plain,
    ( ~ k3(X0,X0,X1)
    | ~ m3(X2,X3,X2)
    | ~ q2(X2,a,X1)
    | q4(X1,a) ),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_4793,plain,
    ( ~ q2(b,a,b)
    | ~ k3(b,b,b)
    | ~ m3(b,b,b)
    | q4(b,a) ),
    inference(instantiation,[status(thm)],[c_4792]) ).

cnf(c_4794,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4793,c_4606,c_4607,c_4598,c_4243,c_3634,c_3582,c_3033,c_3032,c_2824,c_2503,c_2277,c_2280,c_2232,c_2156,c_1884,c_1647,c_1617,c_1565,c_1564,c_1539,c_1525,c_1498,c_1302,c_1289,c_1227,c_1127,c_1040,c_1004,c_989,c_971,c_956,c_915,c_893,c_888,c_884,c_883,c_880,c_878,c_775,c_763,c_874,c_829,c_827,c_818,c_754,c_672,c_177,c_490,c_475,c_444,c_175,c_442,c_440,c_438,c_427,c_420,c_76,c_49,c_51,c_55,c_56,c_59,c_60,c_419,c_67,c_78,c_79,c_85,c_86,c_54,c_58,c_62,c_69,c_77,c_81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN159-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n031.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 20:04:08 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.02/1.11  % SZS status Started for theBenchmark.p
% 4.02/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.11  
% 4.02/1.11  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.02/1.11  
% 4.02/1.11  ------  iProver source info
% 4.02/1.11  
% 4.02/1.11  git: date: 2023-05-31 18:12:56 +0000
% 4.02/1.11  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.02/1.11  git: non_committed_changes: false
% 4.02/1.11  git: last_make_outside_of_git: false
% 4.02/1.11  
% 4.02/1.11  ------ Parsing...successful
% 4.02/1.11  
% 4.02/1.11  ------  preprocesses with Option_epr_horn
% 4.02/1.11  
% 4.02/1.11  
% 4.02/1.11  ------ Preprocessing... sf_s  rm: 32 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.02/1.11  
% 4.02/1.11  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 4.02/1.11   gs_s  sp: 112 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.02/1.11  ------ Proving...
% 4.02/1.11  ------ Problem Properties 
% 4.02/1.11  
% 4.02/1.11  
% 4.02/1.11  clauses                                 408
% 4.02/1.11  conjectures                             1
% 4.02/1.11  EPR                                     408
% 4.02/1.11  Horn                                    353
% 4.02/1.11  unary                                   52
% 4.02/1.11  binary                                  165
% 4.02/1.11  lits                                    1025
% 4.02/1.11  lits eq                                 0
% 4.02/1.11  fd_pure                                 0
% 4.02/1.11  fd_pseudo                               0
% 4.02/1.11  fd_cond                                 0
% 4.02/1.11  fd_pseudo_cond                          0
% 4.02/1.11  AC symbols                              0
% 4.02/1.11  
% 4.02/1.11  ------ Schedule EPR non Horn non eq is on
% 4.02/1.11  
% 4.02/1.11  ------ no equalities: superposition off 
% 4.02/1.11  
% 4.02/1.11  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.02/1.11  
% 4.02/1.11  
% 4.02/1.11  ------ 
% 4.02/1.11  Current options:
% 4.02/1.11  ------ 
% 4.02/1.11  
% 4.02/1.11  
% 4.02/1.11  
% 4.02/1.11  
% 4.02/1.11  ------ Proving...
% 4.02/1.11  
% 4.02/1.11  
% 4.02/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.11  
% 4.02/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.02/1.11  
% 4.02/1.11  
%------------------------------------------------------------------------------