TSTP Solution File: SYN549+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SYN549+1 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 : Thu May  9 17:48:26 EDT 2024

% Result   : Theorem 2.97s 3.18s
% Output   : Refutation 2.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem  : SYN549+1 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed May  8 20:04:08 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 2.97/3.18  % Version:  1.5
% 2.97/3.18  % SZS status Theorem
% 2.97/3.18  % SZS output start CNFRefutation
% 2.97/3.18  fof(reflexivity_of_reachable,axiom,(![X]:reachable(X,X)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_of_reachable)).
% 2.97/3.18  fof(c26,plain,(![X15]:reachable(X15,X15)),inference(variable_rename,[status(thm)],[reflexivity_of_reachable])).
% 2.97/3.18  cnf(c27,plain,reachable(X16,X16),inference(split_conjunct,[status(thm)],[c26])).
% 2.97/3.18  fof(prove_this,conjecture,(?[X]:(reachable(initial_world,X)&(![Y]:(reachable(X,Y)=>((?[Z]:(reachable(Y,Z)&(p(Z)|(?[V]:(reachable(Z,V)&q(V))))))<=>((?[W]:(reachable(Y,W)&p(W)))|(?[W]:(reachable(Y,W)&q(W))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_this)).
% 2.97/3.18  fof(c0,negated_conjecture,(~(?[X]:(reachable(initial_world,X)&(![Y]:(reachable(X,Y)=>((?[Z]:(reachable(Y,Z)&(p(Z)|(?[V]:(reachable(Z,V)&q(V))))))<=>((?[W]:(reachable(Y,W)&p(W)))|(?[W]:(reachable(Y,W)&q(W)))))))))),inference(assume_negation,[status(cth)],[prove_this])).
% 2.97/3.18  fof(c1,negated_conjecture,(![X]:(~reachable(initial_world,X)|(?[Y]:(reachable(X,Y)&(((![Z]:(~reachable(Y,Z)|(~p(Z)&(![V]:(~reachable(Z,V)|~q(V))))))|((![W]:(~reachable(Y,W)|~p(W)))&(![W]:(~reachable(Y,W)|~q(W)))))&((?[Z]:(reachable(Y,Z)&(p(Z)|(?[V]:(reachable(Z,V)&q(V))))))|((?[W]:(reachable(Y,W)&p(W)))|(?[W]:(reachable(Y,W)&q(W)))))))))),inference(fof_nnf,[status(thm)],[c0])).
% 2.97/3.18  fof(c2,negated_conjecture,(![X2]:(~reachable(initial_world,X2)|(?[X3]:(reachable(X2,X3)&(((![X4]:(~reachable(X3,X4)|(~p(X4)&(![X5]:(~reachable(X4,X5)|~q(X5))))))|((![X6]:(~reachable(X3,X6)|~p(X6)))&(![X7]:(~reachable(X3,X7)|~q(X7)))))&((?[X8]:(reachable(X3,X8)&(p(X8)|(?[X9]:(reachable(X8,X9)&q(X9))))))|((?[X10]:(reachable(X3,X10)&p(X10)))|(?[X11]:(reachable(X3,X11)&q(X11)))))))))),inference(variable_rename,[status(thm)],[c1])).
% 2.97/3.18  fof(c4,negated_conjecture,(![X2]:(![X4]:(![X5]:(![X6]:(![X7]:(~reachable(initial_world,X2)|(reachable(X2,skolem0001(X2))&(((~reachable(skolem0001(X2),X4)|(~p(X4)&(~reachable(X4,X5)|~q(X5))))|((~reachable(skolem0001(X2),X6)|~p(X6))&(~reachable(skolem0001(X2),X7)|~q(X7))))&((reachable(skolem0001(X2),skolem0002(X2))&(p(skolem0002(X2))|(reachable(skolem0002(X2),skolem0003(X2))&q(skolem0003(X2)))))|((reachable(skolem0001(X2),skolem0004(X2))&p(skolem0004(X2)))|(reachable(skolem0001(X2),skolem0005(X2))&q(skolem0005(X2))))))))))))),inference(shift_quantors,[status(thm)],[fof(c3,negated_conjecture,(![X2]:(~reachable(initial_world,X2)|(reachable(X2,skolem0001(X2))&(((![X4]:(~reachable(skolem0001(X2),X4)|(~p(X4)&(![X5]:(~reachable(X4,X5)|~q(X5))))))|((![X6]:(~reachable(skolem0001(X2),X6)|~p(X6)))&(![X7]:(~reachable(skolem0001(X2),X7)|~q(X7)))))&((reachable(skolem0001(X2),skolem0002(X2))&(p(skolem0002(X2))|(reachable(skolem0002(X2),skolem0003(X2))&q(skolem0003(X2)))))|((reachable(skolem0001(X2),skolem0004(X2))&p(skolem0004(X2)))|(reachable(skolem0001(X2),skolem0005(X2))&q(skolem0005(X2))))))))),inference(skolemize,[status(esa)],[c2])).])).
% 2.97/3.18  fof(c5,negated_conjecture,(![X2]:(![X4]:(![X5]:(![X6]:(![X7]:((~reachable(initial_world,X2)|reachable(X2,skolem0001(X2)))&((((~reachable(initial_world,X2)|((~reachable(skolem0001(X2),X4)|~p(X4))|(~reachable(skolem0001(X2),X6)|~p(X6))))&(~reachable(initial_world,X2)|((~reachable(skolem0001(X2),X4)|~p(X4))|(~reachable(skolem0001(X2),X7)|~q(X7)))))&((~reachable(initial_world,X2)|((~reachable(skolem0001(X2),X4)|(~reachable(X4,X5)|~q(X5)))|(~reachable(skolem0001(X2),X6)|~p(X6))))&(~reachable(initial_world,X2)|((~reachable(skolem0001(X2),X4)|(~reachable(X4,X5)|~q(X5)))|(~reachable(skolem0001(X2),X7)|~q(X7))))))&((((~reachable(initial_world,X2)|(reachable(skolem0001(X2),skolem0002(X2))|(reachable(skolem0001(X2),skolem0004(X2))|reachable(skolem0001(X2),skolem0005(X2)))))&(~reachable(initial_world,X2)|(reachable(skolem0001(X2),skolem0002(X2))|(reachable(skolem0001(X2),skolem0004(X2))|q(skolem0005(X2))))))&((~reachable(initial_world,X2)|(reachable(skolem0001(X2),skolem0002(X2))|(p(skolem0004(X2))|reachable(skolem0001(X2),skolem0005(X2)))))&(~reachable(initial_world,X2)|(reachable(skolem0001(X2),skolem0002(X2))|(p(skolem0004(X2))|q(skolem0005(X2)))))))&((((~reachable(initial_world,X2)|((p(skolem0002(X2))|reachable(skolem0002(X2),skolem0003(X2)))|(reachable(skolem0001(X2),skolem0004(X2))|reachable(skolem0001(X2),skolem0005(X2)))))&(~reachable(initial_world,X2)|((p(skolem0002(X2))|reachable(skolem0002(X2),skolem0003(X2)))|(reachable(skolem0001(X2),skolem0004(X2))|q(skolem0005(X2))))))&((~reachable(initial_world,X2)|((p(skolem0002(X2))|reachable(skolem0002(X2),skolem0003(X2)))|(p(skolem0004(X2))|reachable(skolem0001(X2),skolem0005(X2)))))&(~reachable(initial_world,X2)|((p(skolem0002(X2))|reachable(skolem0002(X2),skolem0003(X2)))|(p(skolem0004(X2))|q(skolem0005(X2)))))))&(((~reachable(initial_world,X2)|((p(skolem0002(X2))|q(skolem0003(X2)))|(reachable(skolem0001(X2),skolem0004(X2))|reachable(skolem0001(X2),skolem0005(X2)))))&(~reachable(initial_world,X2)|((p(skolem0002(X2))|q(skolem0003(X2)))|(reachable(skolem0001(X2),skolem0004(X2))|q(skolem0005(X2))))))&((~reachable(initial_world,X2)|((p(skolem0002(X2))|q(skolem0003(X2)))|(p(skolem0004(X2))|reachable(skolem0001(X2),skolem0005(X2)))))&(~reachable(initial_world,X2)|((p(skolem0002(X2))|q(skolem0003(X2)))|(p(skolem0004(X2))|q(skolem0005(X2)))))))))))))))),inference(distribute,[status(thm)],[c4])).
% 2.97/3.18  cnf(c7,negated_conjecture,~reachable(initial_world,X24)|~reachable(skolem0001(X24),X22)|~p(X22)|~reachable(skolem0001(X24),X23)|~p(X23),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c33,plain,~reachable(initial_world,X28)|~reachable(skolem0001(X28),X29)|~p(X29),inference(factor,[status(thm)],[c7])).
% 2.97/3.18  cnf(c14,negated_conjecture,~reachable(initial_world,X64)|reachable(skolem0001(X64),skolem0002(X64))|p(skolem0004(X64))|q(skolem0005(X64)),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c93,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|p(skolem0004(initial_world))|q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c14, c27])).
% 2.97/3.18  cnf(c98,plain,p(skolem0004(initial_world))|q(skolem0005(initial_world))|~reachable(initial_world,initial_world)|~p(skolem0002(initial_world)),inference(resolution,[status(thm)],[c93, c33])).
% 2.97/3.18  cnf(c22,negated_conjecture,~reachable(initial_world,X79)|p(skolem0002(X79))|q(skolem0003(X79))|p(skolem0004(X79))|q(skolem0005(X79)),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c150,plain,p(skolem0002(initial_world))|q(skolem0003(initial_world))|p(skolem0004(initial_world))|q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c22, c27])).
% 2.97/3.18  cnf(c154,plain,q(skolem0003(initial_world))|p(skolem0004(initial_world))|q(skolem0005(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c150, c98])).
% 2.97/3.18  cnf(c160,plain,q(skolem0003(initial_world))|p(skolem0004(initial_world))|q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c154, c27])).
% 2.97/3.18  cnf(c10,negated_conjecture,~reachable(initial_world,X45)|~reachable(skolem0001(X45),X44)|~reachable(X44,X43)|~q(X43)|~reachable(skolem0001(X45),X42)|~q(X42),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c48,plain,~reachable(initial_world,X60)|~reachable(skolem0001(X60),skolem0001(X60))|~reachable(skolem0001(X60),X59)|~q(X59),inference(factor,[status(thm)],[c10])).
% 2.97/3.18  cnf(c86,plain,~reachable(initial_world,X62)|~reachable(skolem0001(X62),X61)|~q(X61),inference(resolution,[status(thm)],[c48, c27])).
% 2.97/3.18  cnf(c12,negated_conjecture,~reachable(initial_world,X50)|reachable(skolem0001(X50),skolem0002(X50))|reachable(skolem0001(X50),skolem0004(X50))|q(skolem0005(X50)),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c68,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|reachable(skolem0001(initial_world),skolem0004(initial_world))|q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c12, c27])).
% 2.97/3.18  cnf(c164,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|q(skolem0005(initial_world))|~reachable(initial_world,initial_world)|~p(skolem0004(initial_world)),inference(resolution,[status(thm)],[c68, c33])).
% 2.97/3.18  cnf(c282,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|q(skolem0005(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c164, c93])).
% 2.97/3.18  cnf(c284,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c282, c27])).
% 2.97/3.18  cnf(c13,negated_conjecture,~reachable(initial_world,X58)|reachable(skolem0001(X58),skolem0002(X58))|p(skolem0004(X58))|reachable(skolem0001(X58),skolem0005(X58)),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c82,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|p(skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world)),inference(resolution,[status(thm)],[c13, c27])).
% 2.97/3.18  cnf(c172,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|p(skolem0004(initial_world))|~reachable(initial_world,initial_world)|~q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c82, c86])).
% 2.97/3.18  cnf(c402,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|p(skolem0004(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c172, c284])).
% 2.97/3.18  cnf(c420,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|p(skolem0004(initial_world)),inference(resolution,[status(thm)],[c402, c27])).
% 2.97/3.18  fof(transitivity_of_reachable,axiom,(![X]:(![Y]:(![Z]:((reachable(X,Y)&reachable(Y,Z))=>reachable(X,Z))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', transitivity_of_reachable)).
% 2.97/3.18  fof(c23,plain,(![X]:(![Y]:(![Z]:((~reachable(X,Y)|~reachable(Y,Z))|reachable(X,Z))))),inference(fof_nnf,[status(thm)],[transitivity_of_reachable])).
% 2.97/3.18  fof(c24,plain,(![X12]:(![X13]:(![X14]:((~reachable(X12,X13)|~reachable(X13,X14))|reachable(X12,X14))))),inference(variable_rename,[status(thm)],[c23])).
% 2.97/3.18  cnf(c25,plain,~reachable(X19,X18)|~reachable(X18,X20)|reachable(X19,X20),inference(split_conjunct,[status(thm)],[c24])).
% 2.97/3.18  cnf(c18,negated_conjecture,~reachable(initial_world,X76)|p(skolem0002(X76))|reachable(skolem0002(X76),skolem0003(X76))|p(skolem0004(X76))|q(skolem0005(X76)),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c134,plain,p(skolem0002(initial_world))|reachable(skolem0002(initial_world),skolem0003(initial_world))|p(skolem0004(initial_world))|q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c18, c27])).
% 2.97/3.18  cnf(c196,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|p(skolem0004(initial_world))|q(skolem0005(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c134, c98])).
% 2.97/3.18  cnf(c586,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|p(skolem0004(initial_world))|q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c196, c27])).
% 2.97/3.18  cnf(c587,plain,p(skolem0004(initial_world))|q(skolem0005(initial_world))|~reachable(X120,skolem0002(initial_world))|reachable(X120,skolem0003(initial_world)),inference(resolution,[status(thm)],[c586, c25])).
% 2.97/3.18  cnf(c591,plain,p(skolem0004(initial_world))|q(skolem0005(initial_world))|reachable(skolem0001(initial_world),skolem0003(initial_world)),inference(resolution,[status(thm)],[c587, c420])).
% 2.97/3.18  cnf(c616,plain,p(skolem0004(initial_world))|q(skolem0005(initial_world))|~reachable(initial_world,initial_world)|~q(skolem0003(initial_world)),inference(resolution,[status(thm)],[c591, c86])).
% 2.97/3.18  cnf(c624,plain,p(skolem0004(initial_world))|q(skolem0005(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c616, c160])).
% 2.97/3.18  cnf(c632,plain,p(skolem0004(initial_world))|q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c624, c27])).
% 2.97/3.18  cnf(c20,negated_conjecture,~reachable(initial_world,X80)|p(skolem0002(X80))|q(skolem0003(X80))|reachable(skolem0001(X80),skolem0004(X80))|q(skolem0005(X80)),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c156,plain,p(skolem0002(initial_world))|q(skolem0003(initial_world))|reachable(skolem0001(initial_world),skolem0004(initial_world))|q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c20, c27])).
% 2.97/3.18  cnf(c161,plain,reachable(skolem0001(initial_world),skolem0004(initial_world))|q(skolem0005(initial_world))|~reachable(initial_world,initial_world)|~p(skolem0002(initial_world)),inference(resolution,[status(thm)],[c68, c33])).
% 2.97/3.18  cnf(c277,plain,reachable(skolem0001(initial_world),skolem0004(initial_world))|q(skolem0005(initial_world))|~reachable(initial_world,initial_world)|q(skolem0003(initial_world)),inference(resolution,[status(thm)],[c161, c156])).
% 2.97/3.18  cnf(c636,plain,reachable(skolem0001(initial_world),skolem0004(initial_world))|q(skolem0005(initial_world))|q(skolem0003(initial_world)),inference(resolution,[status(thm)],[c277, c27])).
% 2.97/3.18  cnf(c641,plain,q(skolem0005(initial_world))|q(skolem0003(initial_world))|~reachable(initial_world,initial_world)|~p(skolem0004(initial_world)),inference(resolution,[status(thm)],[c636, c33])).
% 2.97/3.18  cnf(c655,plain,q(skolem0005(initial_world))|q(skolem0003(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c641, c632])).
% 2.97/3.18  cnf(c656,plain,q(skolem0005(initial_world))|q(skolem0003(initial_world)),inference(resolution,[status(thm)],[c655, c27])).
% 2.97/3.18  cnf(c11,negated_conjecture,~reachable(initial_world,X48)|reachable(skolem0001(X48),skolem0002(X48))|reachable(skolem0001(X48),skolem0004(X48))|reachable(skolem0001(X48),skolem0005(X48)),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c62,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|reachable(skolem0001(initial_world),skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world)),inference(resolution,[status(thm)],[c11, c27])).
% 2.97/3.18  cnf(c244,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world))|~reachable(initial_world,initial_world)|~p(skolem0004(initial_world)),inference(resolution,[status(thm)],[c62, c33])).
% 2.97/3.18  cnf(c856,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c244, c420])).
% 2.97/3.18  cnf(c873,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world)),inference(resolution,[status(thm)],[c856, c27])).
% 2.97/3.18  cnf(c885,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|~reachable(initial_world,initial_world)|~q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c873, c86])).
% 2.97/3.18  cnf(c893,plain,reachable(skolem0001(initial_world),skolem0002(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c885, c284])).
% 2.97/3.18  cnf(c911,plain,reachable(skolem0001(initial_world),skolem0002(initial_world)),inference(resolution,[status(thm)],[c893, c27])).
% 2.97/3.18  cnf(c291,plain,q(skolem0005(initial_world))|~reachable(initial_world,initial_world)|~p(skolem0002(initial_world)),inference(resolution,[status(thm)],[c284, c33])).
% 2.97/3.18  cnf(c16,negated_conjecture,~reachable(initial_world,X72)|p(skolem0002(X72))|reachable(skolem0002(X72),skolem0003(X72))|reachable(skolem0001(X72),skolem0004(X72))|q(skolem0005(X72)),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c118,plain,p(skolem0002(initial_world))|reachable(skolem0002(initial_world),skolem0003(initial_world))|reachable(skolem0001(initial_world),skolem0004(initial_world))|q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c16, c27])).
% 2.97/3.18  cnf(c627,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|reachable(skolem0001(initial_world),skolem0004(initial_world))|q(skolem0005(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c118, c291])).
% 2.97/3.18  cnf(c1205,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|reachable(skolem0001(initial_world),skolem0004(initial_world))|q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c627, c27])).
% 2.97/3.18  cnf(c1207,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|q(skolem0005(initial_world))|~reachable(initial_world,initial_world)|~p(skolem0004(initial_world)),inference(resolution,[status(thm)],[c1205, c33])).
% 2.97/3.18  cnf(c1212,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|q(skolem0005(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c1207, c632])).
% 2.97/3.18  cnf(c1213,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c1212, c27])).
% 2.97/3.18  cnf(c1214,plain,q(skolem0005(initial_world))|~reachable(X167,skolem0002(initial_world))|reachable(X167,skolem0003(initial_world)),inference(resolution,[status(thm)],[c1213, c25])).
% 2.97/3.18  cnf(c1215,plain,q(skolem0005(initial_world))|reachable(skolem0001(initial_world),skolem0003(initial_world)),inference(resolution,[status(thm)],[c1214, c911])).
% 2.97/3.18  cnf(c1234,plain,q(skolem0005(initial_world))|~reachable(initial_world,initial_world)|~q(skolem0003(initial_world)),inference(resolution,[status(thm)],[c1215, c86])).
% 2.97/3.18  cnf(c1242,plain,q(skolem0005(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c1234, c656])).
% 2.97/3.18  cnf(c1243,plain,q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c1242, c27])).
% 2.97/3.18  cnf(c421,plain,p(skolem0004(initial_world))|~reachable(initial_world,initial_world)|~p(skolem0002(initial_world)),inference(resolution,[status(thm)],[c420, c33])).
% 2.97/3.18  cnf(c21,negated_conjecture,~reachable(initial_world,X82)|p(skolem0002(X82))|q(skolem0003(X82))|p(skolem0004(X82))|reachable(skolem0001(X82),skolem0005(X82)),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c174,plain,p(skolem0002(initial_world))|q(skolem0003(initial_world))|p(skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world)),inference(resolution,[status(thm)],[c21, c27])).
% 2.97/3.18  cnf(c581,plain,q(skolem0003(initial_world))|p(skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c174, c421])).
% 2.97/3.18  cnf(c669,plain,q(skolem0003(initial_world))|p(skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world)),inference(resolution,[status(thm)],[c581, c27])).
% 2.97/3.18  cnf(c672,plain,q(skolem0003(initial_world))|p(skolem0004(initial_world))|~reachable(initial_world,initial_world)|~q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c669, c86])).
% 2.97/3.18  cnf(c680,plain,q(skolem0003(initial_world))|p(skolem0004(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c672, c632])).
% 2.97/3.18  cnf(c692,plain,q(skolem0003(initial_world))|p(skolem0004(initial_world)),inference(resolution,[status(thm)],[c680, c27])).
% 2.97/3.18  cnf(c17,negated_conjecture,~reachable(initial_world,X74)|p(skolem0002(X74))|reachable(skolem0002(X74),skolem0003(X74))|p(skolem0004(X74))|reachable(skolem0001(X74),skolem0005(X74)),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c127,plain,p(skolem0002(initial_world))|reachable(skolem0002(initial_world),skolem0003(initial_world))|p(skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world)),inference(resolution,[status(thm)],[c17, c27])).
% 2.97/3.18  cnf(c686,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|p(skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c127, c421])).
% 2.97/3.18  cnf(c1321,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|p(skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world)),inference(resolution,[status(thm)],[c686, c27])).
% 2.97/3.18  cnf(c1324,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|p(skolem0004(initial_world))|~reachable(initial_world,initial_world)|~q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c1321, c86])).
% 2.97/3.18  cnf(c1326,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|p(skolem0004(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c1324, c1243])).
% 2.97/3.18  cnf(c1327,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|p(skolem0004(initial_world)),inference(resolution,[status(thm)],[c1326, c27])).
% 2.97/3.18  cnf(c1328,plain,p(skolem0004(initial_world))|~reachable(X185,skolem0002(initial_world))|reachable(X185,skolem0003(initial_world)),inference(resolution,[status(thm)],[c1327, c25])).
% 2.97/3.18  cnf(c1329,plain,p(skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0003(initial_world)),inference(resolution,[status(thm)],[c1328, c911])).
% 2.97/3.18  cnf(c1352,plain,p(skolem0004(initial_world))|~reachable(initial_world,initial_world)|~q(skolem0003(initial_world)),inference(resolution,[status(thm)],[c1329, c86])).
% 2.97/3.18  cnf(c1363,plain,p(skolem0004(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c1352, c692])).
% 2.97/3.18  cnf(c1364,plain,p(skolem0004(initial_world)),inference(resolution,[status(thm)],[c1363, c27])).
% 2.97/3.18  cnf(c19,negated_conjecture,~reachable(initial_world,X78)|p(skolem0002(X78))|q(skolem0003(X78))|reachable(skolem0001(X78),skolem0004(X78))|reachable(skolem0001(X78),skolem0005(X78)),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c142,plain,p(skolem0002(initial_world))|q(skolem0003(initial_world))|reachable(skolem0001(initial_world),skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world)),inference(resolution,[status(thm)],[c19, c27])).
% 2.97/3.18  cnf(c241,plain,reachable(skolem0001(initial_world),skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world))|~reachable(initial_world,initial_world)|~p(skolem0002(initial_world)),inference(resolution,[status(thm)],[c62, c33])).
% 2.97/3.18  cnf(c848,plain,reachable(skolem0001(initial_world),skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world))|~reachable(initial_world,initial_world)|q(skolem0003(initial_world)),inference(resolution,[status(thm)],[c241, c142])).
% 2.97/3.18  cnf(c1377,plain,reachable(skolem0001(initial_world),skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world))|q(skolem0003(initial_world)),inference(resolution,[status(thm)],[c848, c27])).
% 2.97/3.18  cnf(c1378,plain,reachable(skolem0001(initial_world),skolem0005(initial_world))|q(skolem0003(initial_world))|~reachable(initial_world,initial_world)|~p(skolem0004(initial_world)),inference(resolution,[status(thm)],[c1377, c33])).
% 2.97/3.18  cnf(c1384,plain,reachable(skolem0001(initial_world),skolem0005(initial_world))|q(skolem0003(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c1378, c1364])).
% 2.97/3.18  cnf(c1385,plain,reachable(skolem0001(initial_world),skolem0005(initial_world))|q(skolem0003(initial_world)),inference(resolution,[status(thm)],[c1384, c27])).
% 2.97/3.18  cnf(c1387,plain,q(skolem0003(initial_world))|~reachable(initial_world,initial_world)|~q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c1385, c86])).
% 2.97/3.18  cnf(c1389,plain,q(skolem0003(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c1387, c1243])).
% 2.97/3.18  cnf(c1390,plain,q(skolem0003(initial_world)),inference(resolution,[status(thm)],[c1389, c27])).
% 2.97/3.18  cnf(c15,negated_conjecture,~reachable(initial_world,X66)|p(skolem0002(X66))|reachable(skolem0002(X66),skolem0003(X66))|reachable(skolem0001(X66),skolem0004(X66))|reachable(skolem0001(X66),skolem0005(X66)),inference(split_conjunct,[status(thm)],[c5])).
% 2.97/3.18  cnf(c100,plain,p(skolem0002(initial_world))|reachable(skolem0002(initial_world),skolem0003(initial_world))|reachable(skolem0001(initial_world),skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world)),inference(resolution,[status(thm)],[c15, c27])).
% 2.97/3.18  cnf(c850,plain,reachable(skolem0001(initial_world),skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world))|~reachable(initial_world,initial_world)|reachable(skolem0002(initial_world),skolem0003(initial_world)),inference(resolution,[status(thm)],[c241, c100])).
% 2.97/3.18  cnf(c1698,plain,reachable(skolem0001(initial_world),skolem0004(initial_world))|reachable(skolem0001(initial_world),skolem0005(initial_world))|reachable(skolem0002(initial_world),skolem0003(initial_world)),inference(resolution,[status(thm)],[c850, c27])).
% 2.97/3.18  cnf(c1703,plain,reachable(skolem0001(initial_world),skolem0005(initial_world))|reachable(skolem0002(initial_world),skolem0003(initial_world))|~reachable(initial_world,initial_world)|~p(skolem0004(initial_world)),inference(resolution,[status(thm)],[c1698, c33])).
% 2.97/3.18  cnf(c1710,plain,reachable(skolem0001(initial_world),skolem0005(initial_world))|reachable(skolem0002(initial_world),skolem0003(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c1703, c1364])).
% 2.97/3.18  cnf(c1711,plain,reachable(skolem0001(initial_world),skolem0005(initial_world))|reachable(skolem0002(initial_world),skolem0003(initial_world)),inference(resolution,[status(thm)],[c1710, c27])).
% 2.97/3.18  cnf(c1713,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|~reachable(initial_world,initial_world)|~q(skolem0005(initial_world)),inference(resolution,[status(thm)],[c1711, c86])).
% 2.97/3.18  cnf(c1716,plain,reachable(skolem0002(initial_world),skolem0003(initial_world))|~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c1713, c1243])).
% 2.97/3.18  cnf(c1717,plain,reachable(skolem0002(initial_world),skolem0003(initial_world)),inference(resolution,[status(thm)],[c1716, c27])).
% 2.97/3.18  cnf(c1718,plain,~reachable(X236,skolem0002(initial_world))|reachable(X236,skolem0003(initial_world)),inference(resolution,[status(thm)],[c1717, c25])).
% 2.97/3.18  cnf(c1719,plain,reachable(skolem0001(initial_world),skolem0003(initial_world)),inference(resolution,[status(thm)],[c1718, c911])).
% 2.97/3.18  cnf(c1737,plain,~reachable(initial_world,initial_world)|~q(skolem0003(initial_world)),inference(resolution,[status(thm)],[c1719, c86])).
% 2.97/3.18  cnf(c1741,plain,~reachable(initial_world,initial_world),inference(resolution,[status(thm)],[c1737, c1390])).
% 2.97/3.18  cnf(c1742,plain,$false,inference(resolution,[status(thm)],[c1741, c27])).
% 2.97/3.18  % SZS output end CNFRefutation
% 2.97/3.18  
% 2.97/3.18  % Initial clauses    : 19
% 2.97/3.18  % Processed clauses  : 555
% 2.97/3.18  % Factors computed   : 6
% 2.97/3.18  % Resolvents computed: 1709
% 2.97/3.18  % Tautologies deleted: 2
% 2.97/3.18  % Forward subsumed   : 442
% 2.97/3.18  % Backward subsumed  : 240
% 2.97/3.18  % -------- CPU Time ---------
% 2.97/3.18  % User time          : 2.804 s
% 2.97/3.18  % System time        : 0.026 s
% 2.97/3.18  % Total time         : 2.830 s
%------------------------------------------------------------------------------