TSTP Solution File: SYN036-4 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN036-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% 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  : 600s
% DateTime : Thu Jul 21 11:24:38 EDT 2022

% Result   : Unsatisfiable 0.75s 0.93s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
    ( ~ p(cx)
    | ~ q(cw)
    | p(X2)
    | q(X3) ),
    input ).

cnf(clause_4,negated_conjecture,
    ( ~ p(X8)
    | ~ q(X9)
    | p(cx)
    | q(cw) ),
    input ).

cnf(clause_32,negated_conjecture,
    ( p(cx)
    | p(X82)
    | p(fy5(X82))
    | q(cw)
    | q(X81)
    | q(fz5(X81)) ),
    input ).

cnf(c0,plain,
    ( p(cx)
    | p(fy5(cx))
    | q(cw)
    | q(X83)
    | q(fz5(X83)) ),
    inference(factor,status(thm),[clause_32]) ).

cnf(c63,plain,
    ( p(cx)
    | p(fy5(cx))
    | q(cw)
    | q(fz5(cw)) ),
    inference(factor,status(thm),[c0]) ).

cnf(clause_15,negated_conjecture,
    ( ~ p(X43)
    | p(cx)
    | q(cw)
    | q(X44)
    | q(fz(X44)) ),
    input ).

cnf(c118,plain,
    ( p(cx)
    | q(cw)
    | q(fz5(cw))
    | q(X105)
    | q(fz(X105)) ),
    inference(resolution,status(thm),[c63,clause_15]) ).

cnf(c322,plain,
    ( p(cx)
    | q(cw)
    | q(fz5(cw))
    | q(fz(cw)) ),
    inference(factor,status(thm),[c118]) ).

cnf(c417,plain,
    ( p(cx)
    | q(cw)
    | q(fz5(cw))
    | ~ p(X109) ),
    inference(resolution,status(thm),[c322,clause_4]) ).

cnf(c445,plain,
    ( p(cx)
    | q(cw)
    | q(fz5(cw)) ),
    inference(resolution,status(thm),[c417,c63]) ).

cnf(c476,plain,
    ( p(cx)
    | q(cw)
    | ~ p(X113) ),
    inference(resolution,status(thm),[c445,clause_4]) ).

cnf(clause_20,negated_conjecture,
    ( ~ q(X49)
    | p(cx)
    | p(X50)
    | p(fy(X50))
    | q(cw) ),
    input ).

cnf(c483,plain,
    ( p(cx)
    | q(cw)
    | p(X121)
    | p(fy(X121)) ),
    inference(resolution,status(thm),[c445,clause_20]) ).

cnf(c614,plain,
    ( p(cx)
    | q(cw)
    | p(X122) ),
    inference(resolution,status(thm),[c483,c476]) ).

cnf(c617,plain,
    ( p(cx)
    | q(cw) ),
    inference(factor,status(thm),[c614]) ).

cnf(clause_2,negated_conjecture,
    ( ~ p(cx)
    | ~ q(X5)
    | p(X4)
    | q(cw) ),
    input ).

cnf(clause_10,negated_conjecture,
    ( ~ p(cx)
    | p(X42)
    | q(cw)
    | q(X41)
    | q(fz(X41)) ),
    input ).

cnf(c640,plain,
    ( q(cw)
    | p(X142)
    | q(X141)
    | q(fz(X141)) ),
    inference(resolution,status(thm),[c617,clause_10]) ).

cnf(c654,plain,
    ( q(cw)
    | p(X143)
    | q(fz(cw)) ),
    inference(factor,status(thm),[c640]) ).

cnf(c715,plain,
    ( q(cw)
    | p(X144)
    | ~ p(cx)
    | p(X145) ),
    inference(resolution,status(thm),[c654,clause_2]) ).

cnf(c721,plain,
    ( q(cw)
    | p(X149)
    | p(X150) ),
    inference(resolution,status(thm),[c715,c617]) ).

cnf(c722,plain,
    ( q(cw)
    | p(X151) ),
    inference(factor,status(thm),[c721]) ).

cnf(c743,plain,
    ( p(X155)
    | ~ p(cx)
    | p(X153)
    | q(X154) ),
    inference(resolution,status(thm),[c722,clause_1]) ).

cnf(clause_3,negated_conjecture,
    ( ~ p(X6)
    | ~ q(cw)
    | p(cx)
    | q(X7) ),
    input ).

cnf(c643,plain,
    ( p(cx)
    | ~ p(X129)
    | q(X128) ),
    inference(resolution,status(thm),[c617,clause_3]) ).

cnf(clause_19,negated_conjecture,
    ( ~ q(cw)
    | p(cx)
    | p(X48)
    | p(fy(X48))
    | q(X47) ),
    input ).

cnf(c645,plain,
    ( p(cx)
    | p(X175)
    | p(fy(X175))
    | q(X176) ),
    inference(resolution,status(thm),[c617,clause_19]) ).

cnf(c756,plain,
    ( p(cx)
    | p(fy(cx))
    | q(X177) ),
    inference(factor,status(thm),[c645]) ).

cnf(c786,plain,
    ( p(cx)
    | q(X178)
    | q(X179) ),
    inference(resolution,status(thm),[c756,c643]) ).

cnf(c801,plain,
    ( p(cx)
    | q(X180) ),
    inference(factor,status(thm),[c786]) ).

cnf(c830,plain,
    ( q(X182)
    | p(X181)
    | p(X184)
    | q(X183) ),
    inference(resolution,status(thm),[c801,c743]) ).

cnf(c844,plain,
    ( q(X192)
    | p(X190)
    | p(X191) ),
    inference(factor,status(thm),[c830]) ).

cnf(c880,plain,
    ( q(X193)
    | p(X194) ),
    inference(factor,status(thm),[c844]) ).

cnf(clause_5,negated_conjecture,
    ( ~ p(cx)
    | ~ p(X14)
    | ~ p(fy5(X14))
    | ~ q(cw)
    | q(X13) ),
    input ).

cnf(c906,plain,
    ( q(X339)
    | ~ p(cx)
    | ~ p(X338)
    | ~ q(cw)
    | q(X340) ),
    inference(resolution,status(thm),[c880,clause_5]) ).

cnf(clause_6,negated_conjecture,
    ( ~ p(cx)
    | ~ p(X32)
    | ~ p(fy5(X32))
    | ~ q(X31)
    | q(cw) ),
    input ).

cnf(c750,plain,
    ( q(cw)
    | ~ p(cx)
    | ~ p(X166)
    | ~ q(X167) ),
    inference(resolution,status(thm),[c722,clause_6]) ).

cnf(clause_22,negated_conjecture,
    ( ~ p(cx)
    | ~ p(X70)
    | ~ p(fy(X70))
    | q(cw)
    | q(X69)
    | q(fz(X69)) ),
    input ).

cnf(c748,plain,
    ( q(cw)
    | ~ p(cx)
    | ~ p(X474)
    | q(X473)
    | q(fz(X473)) ),
    inference(resolution,status(thm),[c722,clause_22]) ).

cnf(c914,plain,
    ( q(cw)
    | ~ p(cx)
    | q(X514)
    | q(fz(X514))
    | q(X513) ),
    inference(resolution,status(thm),[c748,c880]) ).

cnf(c916,plain,
    ( q(cw)
    | q(X516)
    | q(fz(X516))
    | q(X517)
    | q(X515) ),
    inference(resolution,status(thm),[c914,c880]) ).

cnf(c918,plain,
    ( q(cw)
    | q(X519)
    | q(fz(X519))
    | q(X518) ),
    inference(factor,status(thm),[c916]) ).

cnf(c964,plain,
    ( q(cw)
    | q(X523)
    | q(fz(X523)) ),
    inference(factor,status(thm),[c918]) ).

cnf(c996,plain,
    ( q(cw)
    | q(fz(cw)) ),
    inference(factor,status(thm),[c964]) ).

cnf(c1026,plain,
    ( q(cw)
    | ~ p(cx)
    | ~ p(X524) ),
    inference(resolution,status(thm),[c996,c750]) ).

cnf(c1028,plain,
    ( q(cw)
    | ~ p(cx)
    | q(X525) ),
    inference(resolution,status(thm),[c1026,c880]) ).

cnf(c1029,plain,
    ( q(cw)
    | q(X526)
    | q(X527) ),
    inference(resolution,status(thm),[c1028,c880]) ).

cnf(c1030,plain,
    ( q(cw)
    | q(X531) ),
    inference(factor,status(thm),[c1029]) ).

cnf(c1055,plain,
    q(cw),
    inference(factor,status(thm),[c1030]) ).

cnf(c1070,plain,
    ( q(X558)
    | ~ p(cx)
    | ~ p(X559)
    | q(X557) ),
    inference(resolution,status(thm),[c1055,c906]) ).

cnf(c1080,plain,
    ( q(X572)
    | ~ p(cx)
    | q(X570)
    | q(X571) ),
    inference(resolution,status(thm),[c1070,c880]) ).

cnf(c1082,plain,
    ( q(X573)
    | q(X575)
    | q(X574)
    | q(X576) ),
    inference(resolution,status(thm),[c1080,c880]) ).

cnf(c1083,plain,
    ( q(X577)
    | q(X578)
    | q(X579) ),
    inference(factor,status(thm),[c1082]) ).

cnf(c1105,plain,
    ( q(X583)
    | q(X584) ),
    inference(factor,status(thm),[c1083]) ).

cnf(c1120,plain,
    q(X585),
    inference(factor,status(thm),[c1105]) ).

cnf(clause_7,negated_conjecture,
    ( ~ p(cx)
    | ~ q(cw)
    | ~ q(X40)
    | ~ q(fz5(X40))
    | p(X39) ),
    input ).

cnf(c1129,plain,
    ( ~ p(cx)
    | ~ q(cw)
    | ~ q(X623)
    | p(X622) ),
    inference(resolution,status(thm),[c1120,clause_7]) ).

cnf(c1134,plain,
    ( ~ p(cx)
    | ~ q(cw)
    | p(X627) ),
    inference(resolution,status(thm),[c1129,c1120]) ).

cnf(c1135,plain,
    ( ~ p(cx)
    | p(X628) ),
    inference(resolution,status(thm),[c1134,c1120]) ).

cnf(clause_16,negated_conjecture,
    ( ~ p(X45)
    | ~ q(cw)
    | ~ q(X46)
    | ~ q(fz5(X46))
    | p(cx) ),
    input ).

cnf(c839,plain,
    ( p(cx)
    | ~ p(X210)
    | ~ q(cw)
    | ~ q(X211) ),
    inference(resolution,status(thm),[c801,clause_16]) ).

cnf(c1072,plain,
    ( p(cx)
    | ~ p(X541)
    | ~ q(cw) ),
    inference(resolution,status(thm),[c1055,c839]) ).

cnf(c1077,plain,
    ( p(cx)
    | ~ p(X542) ),
    inference(resolution,status(thm),[c1072,c1055]) ).

cnf(clause_30,negated_conjecture,
    ( ~ q(cw)
    | ~ q(X77)
    | ~ q(fz(X77))
    | p(cx)
    | p(X78)
    | p(fy(X78)) ),
    input ).

cnf(c831,plain,
    ( p(cx)
    | ~ q(cw)
    | ~ q(X476)
    | p(X475)
    | p(fy(X475)) ),
    inference(resolution,status(thm),[c801,clause_30]) ).

cnf(c1075,plain,
    ( p(cx)
    | ~ q(cw)
    | p(X673)
    | p(fy(X673)) ),
    inference(resolution,status(thm),[c1055,c831]) ).

cnf(c1136,plain,
    ( p(cx)
    | p(X674)
    | p(fy(X674)) ),
    inference(resolution,status(thm),[c1075,c1120]) ).

cnf(c1142,plain,
    ( p(cx)
    | p(X675) ),
    inference(resolution,status(thm),[c1136,c1077]) ).

cnf(c1143,plain,
    p(cx),
    inference(factor,status(thm),[c1142]) ).

cnf(c1148,plain,
    p(X679),
    inference(resolution,status(thm),[c1143,c1135]) ).

cnf(clause_23,negated_conjecture,
    ( ~ p(cx)
    | ~ p(X72)
    | ~ p(fy5(X72))
    | ~ q(cw)
    | ~ q(X71)
    | ~ q(fz5(X71)) ),
    input ).

cnf(c1130,plain,
    ( ~ p(cx)
    | ~ p(X804)
    | ~ p(fy5(X804))
    | ~ q(cw)
    | ~ q(X805) ),
    inference(resolution,status(thm),[c1120,clause_23]) ).

cnf(c1149,plain,
    ( ~ p(cx)
    | ~ p(X810)
    | ~ q(cw)
    | ~ q(X811) ),
    inference(resolution,status(thm),[c1130,c1148]) ).

cnf(c1150,plain,
    ( ~ p(cx)
    | ~ p(X812)
    | ~ q(cw) ),
    inference(resolution,status(thm),[c1149,c1120]) ).

cnf(c1151,plain,
    ( ~ p(cx)
    | ~ p(X813) ),
    inference(resolution,status(thm),[c1150,c1120]) ).

cnf(c1152,plain,
    ~ p(cx),
    inference(resolution,status(thm),[c1151,c1148]) ).

cnf(c1153,plain,
    $false,
    inference(resolution,status(thm),[c1152,c1148]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN036-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 01:31:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.75/0.93  # Version:  1.3
% 0.75/0.93  # SZS status Unsatisfiable
% 0.75/0.93  # SZS output start CNFRefutation
% See solution above
% 0.75/0.93  
% 0.75/0.93  # Initial clauses    : 32
% 0.75/0.93  # Processed clauses  : 108
% 0.75/0.93  # Factors computed   : 56
% 0.75/0.93  # Resolvents computed: 1098
% 0.75/0.93  # Tautologies deleted: 52
% 0.75/0.93  # Forward subsumed   : 180
% 0.75/0.93  # Backward subsumed  : 105
% 0.75/0.93  # -------- CPU Time ---------
% 0.75/0.93  # User time          : 0.577 s
% 0.75/0.93  # System time        : 0.014 s
% 0.75/0.93  # Total time         : 0.591 s
%------------------------------------------------------------------------------