TSTP Solution File: SYN163-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN163-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 03:05:35 EDT 2023

% Result   : Unsatisfiable 3.88s 1.16s
% Output   : CNFRefutation 3.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   58
% Syntax   : Number of clauses     :  143 (  22 unt;   3 nHn; 141 RR)
%            Number of literals    :  364 (   0 equ; 225 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   38 (  37 usr;   7 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  140 (  41 sgn)

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

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

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

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

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

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

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

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

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

cnf(c_66,plain,
    q0(X0,d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).

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

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

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

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

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

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

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

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

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

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

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

cnf(c_119,plain,
    ( ~ s0(X0)
    | m1(X0,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_032) ).

cnf(c_122,plain,
    ( ~ r0(X0)
    | ~ l0(X1)
    | m1(X0,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_035) ).

cnf(c_150,plain,
    ( ~ n0(d,X0)
    | ~ k0(X1)
    | p1(X0,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_063) ).

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

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

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

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

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

cnf(c_204,plain,
    ( ~ s0(d)
    | ~ k0(e)
    | q1(d,d,d) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_117) ).

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

cnf(c_214,plain,
    ( ~ m1(X0,X1,X2)
    | ~ k2(X3,X1)
    | ~ k1(X3)
    | k2(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).

cnf(c_216,plain,
    ( ~ q1(X0,X1,X1)
    | k2(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).

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

cnf(c_227,plain,
    ( ~ p1(b,X0,X1)
    | ~ r0(e)
    | ~ r1(b)
    | n2(e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_140) ).

cnf(c_228,plain,
    ( ~ q1(X0,a,X0)
    | p2(X0,a,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_141) ).

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

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

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

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

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

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

cnf(c_281,plain,
    ( ~ k2(X0,X1)
    | k3(X1,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_194) ).

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

cnf(c_302,plain,
    ( ~ p2(X0,X1,X0)
    | ~ r0(X0)
    | l3(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_215) ).

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

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

cnf(c_329,plain,
    ( ~ k3(X0,X1,X2)
    | ~ r2(X0)
    | p3(X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_242) ).

cnf(c_338,plain,
    ( ~ p2(X0,X1,X2)
    | ~ m3(X1,X3,X2)
    | p3(X0,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_251) ).

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

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

cnf(c_368,plain,
    ( ~ p3(X0,X1,X1)
    | ~ n4(X0,X0)
    | n4(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_281) ).

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

cnf(c_380,plain,
    ( ~ l3(X0,X0)
    | ~ q3(X0,X1)
    | ~ n4(X1,X2)
    | p4(X2,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_293) ).

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

cnf(c_385,plain,
    ( ~ p0(X0,X1)
    | ~ q3(X2,X3)
    | ~ n3(X1)
    | r4(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_298) ).

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

cnf(c_401,plain,
    ( ~ r4(X0)
    | n5(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_314) ).

cnf(c_418,plain,
    q0(b,d),
    inference(instantiation,[status(thm)],[c_66]) ).

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_446,plain,
    ( ~ s0(b)
    | m1(b,b,b) ),
    inference(instantiation,[status(thm)],[c_119]) ).

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

cnf(c_476,plain,
    ( ~ m1(b,b,b)
    | p2(b,b,b) ),
    inference(instantiation,[status(thm)],[c_263]) ).

cnf(c_504,plain,
    ( ~ p2(b,b,b)
    | ~ r0(b)
    | l3(b,b) ),
    inference(instantiation,[status(thm)],[c_302]) ).

cnf(c_547,plain,
    ( ~ p1(b,b,b)
    | ~ r0(e)
    | ~ r1(b)
    | n2(e) ),
    inference(instantiation,[status(thm)],[c_227]) ).

cnf(c_573,plain,
    ( ~ q2(b,b,b)
    | ~ k3(b,b,b)
    | ~ m3(b,b,b)
    | q4(b,b) ),
    inference(instantiation,[status(thm)],[c_382]) ).

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_658,plain,
    ( ~ p1(b,b,e)
    | p2(e,b,b) ),
    inference(instantiation,[status(thm)],[c_656]) ).

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_677,plain,
    ( ~ r1(b)
    | n2(e) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_81,c_62,c_444,c_547]) ).

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_738,plain,
    ( ~ q3(X0,X1)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_385]) ).

cnf(c_739,plain,
    ( ~ p0(X0,X1)
    | r4(X1)
    | ~ n3(X1)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_385]) ).

cnf(c_740,plain,
    ( sP11_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_385]) ).

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_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_884,plain,
    ( ~ r0(b)
    | ~ sP71_iProver_split ),
    inference(instantiation,[status(thm)],[c_830]) ).

cnf(c_887,plain,
    ( ~ q3(b,b)
    | ~ sP11_iProver_split ),
    inference(instantiation,[status(thm)],[c_738]) ).

cnf(c_926,plain,
    ( ~ m3(b,b,b)
    | ~ sP21_iProver_split
    | n4(b,b) ),
    inference(instantiation,[status(thm)],[c_753]) ).

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

cnf(c_977,plain,
    ( ~ n0(b,a)
    | k1(a) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_1013,plain,
    ( ~ q1(a,a,a)
    | p2(a,a,a) ),
    inference(instantiation,[status(thm)],[c_228]) ).

cnf(c_1026,plain,
    ( ~ n2(e)
    | m3(e,e,e) ),
    inference(instantiation,[status(thm)],[c_323]) ).

cnf(c_1037,plain,
    ( ~ q1(d,d,d)
    | ~ q0(X0,d)
    | r1(X0) ),
    inference(instantiation,[status(thm)],[c_690]) ).

cnf(c_1038,plain,
    ( ~ q1(d,d,d)
    | ~ q0(b,d)
    | r1(b) ),
    inference(instantiation,[status(thm)],[c_1037]) ).

cnf(c_1079,plain,
    ( ~ r0(X0)
    | ~ l0(a)
    | m1(X0,a,X0) ),
    inference(instantiation,[status(thm)],[c_122]) ).

cnf(c_1080,plain,
    ( ~ r0(b)
    | ~ l0(a)
    | m1(b,a,b) ),
    inference(instantiation,[status(thm)],[c_1079]) ).

cnf(c_1091,plain,
    ( ~ n0(d,X0)
    | ~ k0(e)
    | p1(X0,X0,e) ),
    inference(instantiation,[status(thm)],[c_150]) ).

cnf(c_1092,plain,
    ( ~ n0(d,b)
    | ~ k0(e)
    | p1(b,b,e) ),
    inference(instantiation,[status(thm)],[c_1091]) ).

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

cnf(c_1137,plain,
    ( ~ q1(X0,a,a)
    | k2(a,a) ),
    inference(instantiation,[status(thm)],[c_216]) ).

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

cnf(c_1282,plain,
    ( ~ q2(e,b,X0)
    | ~ n0(e,b)
    | q3(b,X0) ),
    inference(instantiation,[status(thm)],[c_342]) ).

cnf(c_1283,plain,
    ( ~ q2(e,b,b)
    | ~ n0(e,b)
    | q3(b,b) ),
    inference(instantiation,[status(thm)],[c_1282]) ).

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_1481,plain,
    p0(b,a),
    inference(instantiation,[status(thm)],[c_63]) ).

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

cnf(c_1499,plain,
    ( ~ q1(a,a,a)
    | k2(a,a) ),
    inference(instantiation,[status(thm)],[c_1137]) ).

cnf(c_1520,plain,
    ( ~ p1(e,e,e)
    | ~ k0(b)
    | q2(e,b,b) ),
    inference(instantiation,[status(thm)],[c_264]) ).

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_1884,plain,
    ( ~ l0(a)
    | ~ r1(a)
    | r2(a) ),
    inference(instantiation,[status(thm)],[c_275]) ).

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_2230,plain,
    ( ~ p2(X0,X1,a)
    | n3(a) ),
    inference(instantiation,[status(thm)],[c_327]) ).

cnf(c_2279,plain,
    ( ~ k3(a,X0,X1)
    | ~ r2(a)
    | p3(X1,a,X0) ),
    inference(instantiation,[status(thm)],[c_329]) ).

cnf(c_2405,plain,
    ( ~ m1(X0,a,X1)
    | ~ k2(X2,a)
    | ~ k1(X2)
    | k2(X1,a) ),
    inference(instantiation,[status(thm)],[c_214]) ).

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

cnf(c_3041,plain,
    ( ~ p2(a,a,a)
    | n3(a) ),
    inference(instantiation,[status(thm)],[c_2230]) ).

cnf(c_3188,plain,
    ( ~ k3(a,a,X0)
    | ~ r2(a)
    | p3(X0,a,a) ),
    inference(instantiation,[status(thm)],[c_2279]) ).

cnf(c_3189,plain,
    ( ~ k2(X0,a)
    | k3(a,a,X0) ),
    inference(instantiation,[status(thm)],[c_281]) ).

cnf(c_3190,plain,
    ( ~ k3(a,a,b)
    | ~ r2(a)
    | p3(b,a,a) ),
    inference(instantiation,[status(thm)],[c_3188]) ).

cnf(c_3191,plain,
    ( ~ k2(b,a)
    | k3(a,a,b) ),
    inference(instantiation,[status(thm)],[c_3189]) ).

cnf(c_3272,plain,
    ( ~ m1(X0,a,X1)
    | ~ k2(a,a)
    | ~ k1(a)
    | k2(X1,a) ),
    inference(instantiation,[status(thm)],[c_2405]) ).

cnf(c_3273,plain,
    ( ~ m1(b,a,b)
    | ~ k2(a,a)
    | ~ k1(a)
    | k2(b,a) ),
    inference(instantiation,[status(thm)],[c_3272]) ).

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

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

cnf(c_4222,plain,
    ( ~ p3(e,X0,X0)
    | ~ n4(e,e)
    | n4(e,X0) ),
    inference(instantiation,[status(thm)],[c_368]) ).

cnf(c_4223,plain,
    ( ~ p3(e,b,b)
    | ~ n4(e,e)
    | n4(e,b) ),
    inference(instantiation,[status(thm)],[c_4222]) ).

cnf(c_4264,plain,
    ( ~ m3(e,e,e)
    | ~ sP21_iProver_split
    | n4(e,e) ),
    inference(instantiation,[status(thm)],[c_753]) ).

cnf(c_4587,plain,
    ( ~ m3(X0,X1,X2)
    | ~ p2(e,X0,X2)
    | p3(e,X0,X0) ),
    inference(instantiation,[status(thm)],[c_338]) ).

cnf(c_4588,plain,
    ( ~ p2(e,b,b)
    | ~ m3(b,b,b)
    | p3(e,b,b) ),
    inference(instantiation,[status(thm)],[c_4587]) ).

cnf(c_4786,plain,
    ( ~ p4(a,a,a)
    | ~ q4(X0,X1)
    | ~ n4(e,X1)
    | ~ n5(a,a)
    | n5(e,a) ),
    inference(instantiation,[status(thm)],[c_3822]) ).

cnf(c_4788,plain,
    ( ~ r4(a)
    | n5(a,a) ),
    inference(instantiation,[status(thm)],[c_401]) ).

cnf(c_4789,plain,
    ( ~ p4(a,a,a)
    | ~ n5(a,a)
    | ~ n4(e,b)
    | ~ q4(b,b)
    | n5(e,a) ),
    inference(instantiation,[status(thm)],[c_4786]) ).

cnf(c_4884,plain,
    ( ~ p0(X0,a)
    | ~ n3(a)
    | ~ sP12_iProver_split
    | r4(a) ),
    inference(instantiation,[status(thm)],[c_739]) ).

cnf(c_4885,plain,
    ( ~ p0(b,a)
    | ~ n3(a)
    | ~ sP12_iProver_split
    | r4(a) ),
    inference(instantiation,[status(thm)],[c_4884]) ).

cnf(c_4912,plain,
    ( ~ p3(X0,a,a)
    | ~ n4(X0,X0)
    | n4(X0,a) ),
    inference(instantiation,[status(thm)],[c_368]) ).

cnf(c_4913,plain,
    ( ~ p3(b,a,a)
    | ~ n4(b,b)
    | n4(b,a) ),
    inference(instantiation,[status(thm)],[c_4912]) ).

cnf(c_5008,plain,
    ( ~ l3(X0,X0)
    | ~ q3(X0,X1)
    | ~ n4(X1,a)
    | p4(a,a,a) ),
    inference(instantiation,[status(thm)],[c_380]) ).

cnf(c_5011,plain,
    ( ~ l3(b,b)
    | ~ q3(b,b)
    | ~ n4(b,a)
    | p4(a,a,a) ),
    inference(instantiation,[status(thm)],[c_5008]) ).

cnf(c_5012,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_5011,c_4913,c_4885,c_4788,c_4789,c_4588,c_4264,c_4223,c_3582,c_3273,c_3191,c_3190,c_3041,c_2824,c_2156,c_1884,c_1647,c_1520,c_1499,c_1498,c_1481,c_1302,c_1289,c_1283,c_1127,c_1092,c_1080,c_1038,c_1026,c_1013,c_977,c_956,c_926,c_887,c_884,c_874,c_754,c_740,c_677,c_672,c_658,c_573,c_504,c_177,c_204,c_476,c_475,c_446,c_444,c_442,c_440,c_438,c_76,c_49,c_56,c_59,c_60,c_418,c_67,c_79,c_85,c_86,c_50,c_54,c_58,c_62,c_69,c_77,c_81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN163-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n029.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 21:00:25 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.88/1.16  % SZS status Started for theBenchmark.p
% 3.88/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.88/1.16  
% 3.88/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.88/1.16  
% 3.88/1.16  ------  iProver source info
% 3.88/1.16  
% 3.88/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.88/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.88/1.16  git: non_committed_changes: false
% 3.88/1.16  git: last_make_outside_of_git: false
% 3.88/1.16  
% 3.88/1.16  ------ Parsing...successful
% 3.88/1.16  
% 3.88/1.16  ------  preprocesses with Option_epr_horn
% 3.88/1.16  
% 3.88/1.16  
% 3.88/1.16  ------ Preprocessing... sf_s  rm: 32 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.88/1.16  
% 3.88/1.16  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 3.88/1.16   gs_s  sp: 112 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.88/1.16  ------ Proving...
% 3.88/1.16  ------ Problem Properties 
% 3.88/1.16  
% 3.88/1.16  
% 3.88/1.16  clauses                                 408
% 3.88/1.16  conjectures                             1
% 3.88/1.16  EPR                                     408
% 3.88/1.16  Horn                                    353
% 3.88/1.16  unary                                   52
% 3.88/1.16  binary                                  165
% 3.88/1.16  lits                                    1025
% 3.88/1.16  lits eq                                 0
% 3.88/1.16  fd_pure                                 0
% 3.88/1.16  fd_pseudo                               0
% 3.88/1.16  fd_cond                                 0
% 3.88/1.16  fd_pseudo_cond                          0
% 3.88/1.16  AC symbols                              0
% 3.88/1.16  
% 3.88/1.16  ------ Schedule EPR non Horn non eq is on
% 3.88/1.16  
% 3.88/1.16  ------ no equalities: superposition off 
% 3.88/1.16  
% 3.88/1.16  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.88/1.16  
% 3.88/1.16  
% 3.88/1.16  ------ 
% 3.88/1.16  Current options:
% 3.88/1.16  ------ 
% 3.88/1.16  
% 3.88/1.16  
% 3.88/1.16  
% 3.88/1.16  
% 3.88/1.16  ------ Proving...
% 3.88/1.16  
% 3.88/1.16  
% 3.88/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.88/1.16  
% 3.88/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.88/1.16  
% 3.88/1.16  
%------------------------------------------------------------------------------