%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ150^18 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:37:02 AM UTC 2026
% Result : Theorem 0.09s 0.32s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ150^18 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.20 % Computer : n010.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Oct 6 14:01:10 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.32
% 0.09/0.32 No.of.Axioms: 11
% 0.09/0.32
% 0.09/0.32 Length.of.Defs: 1296
% 0.09/0.32
% 0.09/0.32 Contains.Choice.Funs: false
% 0.09/0.32 .eprover: <stdin>:2:(Column 88):(just read ''#b''): Closing bracket (')') expected, but String enclosed in single quote ('') read
% 0.09/0.32 .eprover: <stdin>:2:(Column 88):(just read ''#b''): Closing bracket (')') expected, but String enclosed in single quote ('') read
% 0.09/0.32 eprover: <stdin>:2:(Column 88):(just read ''#b''): Closing bracket (')') expected, but String enclosed in single quote ('') read
% 0.09/0.32
% 0.09/0.32
% 0.09/0.32 ********************************
% 0.09/0.32 * All subproblems solved! *
% 0.09/0.32 ********************************
% 0.09/0.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:84,loop_count:9,foatp_calls:3,translation:fof_full)
% 0.09/0.32
% 0.09/0.32 %**** Beginning of derivation protocol ****
% 0.09/0.32 % SZS output start CNFRefutation
% 0.09/0.32 thf(tp_mindex,type,(mindex: $tType)).
% 0.09/0.32 thf(tp_mworld,type,(mworld: $tType)).
% 0.09/0.32 thf(tp_'#a',type,('#a': mindex)).
% 0.09/0.32 thf(tp_'#b',type,('#b': mindex)).
% 0.09/0.32 thf(tp_'#c',type,('#c': mindex)).
% 0.09/0.32 thf(tp_a0,type,(a0: (mworld>$o))).
% 0.09/0.32 thf(tp_a1,type,(a1: (mworld>$o))).
% 0.09/0.32 thf(tp_a2,type,(a2: (mworld>$o))).
% 0.09/0.32 thf(tp_b0,type,(b0: (mworld>$o))).
% 0.09/0.32 thf(tp_b1,type,(b1: (mworld>$o))).
% 0.09/0.32 thf(tp_b2,type,(b2: (mworld>$o))).
% 0.09/0.32 thf(tp_c0,type,(c0: (mworld>$o))).
% 0.09/0.32 thf(tp_c1,type,(c1: (mworld>$o))).
% 0.09/0.32 thf(tp_c2,type,(c2: (mworld>$o))).
% 0.09/0.32 thf(tp_cb,type,(cb: (mworld>$o))).
% 0.09/0.32 thf(tp_mactual,type,(mactual: mworld)).
% 0.09/0.32 thf(tp_mand,type,(mand: ((mworld>$o)>((mworld>$o)>(mworld>$o))))).
% 0.09/0.32 thf(tp_mbox,type,(mbox: (mindex>((mworld>$o)>(mworld>$o))))).
% 0.09/0.32 thf(tp_mdia,type,(mdia: (mindex>((mworld>$o)>(mworld>$o))))).
% 0.09/0.32 thf(tp_mequiv,type,(mequiv: ((mworld>$o)>((mworld>$o)>(mworld>$o))))).
% 0.09/0.32 thf(tp_mimplies,type,(mimplies: ((mworld>$o)>((mworld>$o)>(mworld>$o))))).
% 0.09/0.32 thf(tp_mlocal,type,(mlocal: ((mworld>$o)>$o))).
% 0.09/0.32 thf(tp_mnot,type,(mnot: ((mworld>$o)>(mworld>$o)))).
% 0.09/0.32 thf(tp_mor,type,(mor: ((mworld>$o)>((mworld>$o)>(mworld>$o))))).
% 0.09/0.32 thf(tp_mrel,type,(mrel: (mindex>(mworld>(mworld>$o))))).
% 0.09/0.32 thf(tp_sK1_SY31,type,(sK1_SY31: mworld)).
% 0.09/0.32 thf(tp_sK2_SY45,type,(sK2_SY45: mworld)).
% 0.09/0.32 thf(tp_sK3_SY48,type,(sK3_SY48: mworld)).
% 0.09/0.32 thf(mand,definition,(mand = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) & (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def)).
% 0.09/0.32 thf(mbox,definition,(mbox = (^[R:mindex,Phi:(mworld>$o),W:mworld]: (![V:mworld]: ((((mrel@R)@W)@V) => (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def)).
% 0.09/0.32 thf(mdia,definition,(mdia = (^[R:mindex,Phi:(mworld>$o),W:mworld]: (?[V:mworld]: ((((mrel@R)@W)@V) & (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_def)).
% 0.09/0.32 thf(mequiv,definition,(mequiv = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) <=> (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv_def)).
% 0.09/0.32 thf(mimplies,definition,(mimplies = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) => (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def)).
% 0.09/0.32 thf(mlocal,definition,(mlocal = (^[Phi:(mworld>$o)]: (Phi@mactual))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 0.09/0.32 thf(mnot,definition,(mnot = (^[A:(mworld>$o),W:mworld]: (~ (A@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def)).
% 0.09/0.32 thf(mor,definition,(mor = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) | (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor_def)).
% 0.09/0.32 thf(1,axiom,(mlocal@a0),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a0)).
% 0.09/0.32 thf(11,axiom,(![W:mworld,V:mworld]: (((mrel@'#c')@W)@V)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','mrel_#c_universal')).
% 0.09/0.32 thf(12,conjecture,(mlocal@((mbox@'#b')@(mnot@((mdia@'#a')@((mdia@'#b')@((mbox@'#c')@(mnot@a0))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.09/0.32 thf(13,negated_conjecture,(((mlocal@((mbox@'#b')@(mnot@((mdia@'#a')@((mdia@'#b')@((mbox@'#c')@(mnot@a0)))))))=$false)),inference(negate_conjecture,[status(cth)],[12])).
% 0.09/0.32 thf(14,plain,(((![SY31:mworld]: ((((mrel@'#b')@mactual)@SY31) => (~ (?[SY28:mworld]: ((((mrel@'#a')@SY31)@SY28) & (?[SY20:mworld]: ((((mrel@'#b')@SY28)@SY20) & (![SY17:mworld]: ((((mrel@'#c')@SY20)@SY17) => (~ (a0@SY17)))))))))))=$false)),inference(unfold_def,[status(thm)],[13,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor])).
% 0.09/0.32 thf(15,plain,(((a0@mactual)=$true)),inference(unfold_def,[status(thm)],[1,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor])).
% 0.09/0.32 thf(18,plain,(((![W:mworld,V:mworld]: (((mrel@'#c')@W)@V))=$true)),inference(unfold_def,[status(thm)],[11,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor])).
% 0.09/0.32 thf(19,plain,((((((mrel@'#b')@mactual)@sK1_SY31) => (~ (?[SY45:mworld]: ((((mrel@'#a')@sK1_SY31)@SY45) & (?[SY20:mworld]: ((((mrel@'#b')@SY45)@SY20) & (![SY17:mworld]: ((((mrel@'#c')@SY20)@SY17) => (~ (a0@SY17))))))))))=$false)),inference(extcnf_forall_neg,[status(esa)],[14])).
% 0.09/0.32 thf(21,plain,(((~ (?[SY45:mworld]: ((((mrel@'#a')@sK1_SY31)@SY45) & (?[SY20:mworld]: ((((mrel@'#b')@SY45)@SY20) & (![SY17:mworld]: ((((mrel@'#c')@SY20)@SY17) => (~ (a0@SY17)))))))))=$false)),inference(standard_cnf,[status(thm)],[19])).
% 0.09/0.32 thf(22,plain,(((?[SY45:mworld]: ((((mrel@'#a')@sK1_SY31)@SY45) & (?[SY20:mworld]: ((((mrel@'#b')@SY45)@SY20) & (![SY17:mworld]: ((((mrel@'#c')@SY20)@SY17) => (~ (a0@SY17))))))))=$true)),inference(polarity_switch,[status(thm)],[21])).
% 0.09/0.32 thf(23,plain,(((((![SY50:mworld]: ((~ (((mrel@'#c')@sK3_SY48)@SY50)) | (~ (a0@SY50)))) & (((mrel@'#b')@sK2_SY45)@sK3_SY48)) & (((mrel@'#a')@sK1_SY31)@sK2_SY45))=$true)),inference(extcnf_combined,[status(esa)],[22])).
% 0.09/0.32 thf(24,plain,(((![W:mworld,V:mworld]: (((mrel@'#c')@W)@V))=$true)),inference(copy,[status(thm)],[18])).
% 0.09/0.32 thf(27,plain,(((a0@mactual)=$true)),inference(copy,[status(thm)],[15])).
% 0.09/0.32 thf(29,plain,(((((![SY50:mworld]: ((~ (((mrel@'#c')@sK3_SY48)@SY50)) | (~ (a0@SY50)))) & (((mrel@'#b')@sK2_SY45)@sK3_SY48)) & (((mrel@'#a')@sK1_SY31)@sK2_SY45))=$true)),inference(copy,[status(thm)],[23])).
% 0.09/0.32 thf(30,plain,(((~ ((~ (~ ((~ (![SX0:mworld]: ((~ (((mrel@'#c')@sK3_SY48)@SX0)) | (~ (a0@SX0))))) | (~ (((mrel@'#b')@sK2_SY45)@sK3_SY48))))) | (~ (((mrel@'#a')@sK1_SY31)@sK2_SY45))))=$true)),inference(unfold_def,[status(thm)],[29,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor])).
% 0.09/0.32 thf(31,plain,(![SV1:mworld]: (((![SY51:mworld]: (((mrel@'#c')@SV1)@SY51))=$true))),inference(extcnf_forall_pos,[status(thm)],[24])).
% 0.09/0.32 thf(34,plain,((((~ (~ ((~ (![SX0:mworld]: ((~ (((mrel@'#c')@sK3_SY48)@SX0)) | (~ (a0@SX0))))) | (~ (((mrel@'#b')@sK2_SY45)@sK3_SY48))))) | (~ (((mrel@'#a')@sK1_SY31)@sK2_SY45)))=$false)),inference(extcnf_not_pos,[status(thm)],[30])).
% 0.09/0.32 thf(35,plain,(![SV4:mworld,SV1:mworld]: (((((mrel@'#c')@SV1)@SV4)=$true))),inference(extcnf_forall_pos,[status(thm)],[31])).
% 0.09/0.32 thf(38,plain,(((~ (~ ((~ (![SX0:mworld]: ((~ (((mrel@'#c')@sK3_SY48)@SX0)) | (~ (a0@SX0))))) | (~ (((mrel@'#b')@sK2_SY45)@sK3_SY48)))))=$false)),inference(extcnf_or_neg,[status(thm)],[34])).
% 0.09/0.32 thf(40,plain,(((~ ((~ (![SX0:mworld]: ((~ (((mrel@'#c')@sK3_SY48)@SX0)) | (~ (a0@SX0))))) | (~ (((mrel@'#b')@sK2_SY45)@sK3_SY48))))=$true)),inference(extcnf_not_neg,[status(thm)],[38])).
% 0.09/0.32 thf(42,plain,((((~ (![SX0:mworld]: ((~ (((mrel@'#c')@sK3_SY48)@SX0)) | (~ (a0@SX0))))) | (~ (((mrel@'#b')@sK2_SY45)@sK3_SY48)))=$false)),inference(extcnf_not_pos,[status(thm)],[40])).
% 0.09/0.32 thf(43,plain,(((~ (![SX0:mworld]: ((~ (((mrel@'#c')@sK3_SY48)@SX0)) | (~ (a0@SX0)))))=$false)),inference(extcnf_or_neg,[status(thm)],[42])).
% 0.09/0.32 thf(45,plain,(((![SX0:mworld]: ((~ (((mrel@'#c')@sK3_SY48)@SX0)) | (~ (a0@SX0))))=$true)),inference(extcnf_not_neg,[status(thm)],[43])).
% 0.09/0.32 thf(47,plain,(![SV7:mworld]: ((((~ (((mrel@'#c')@sK3_SY48)@SV7)) | (~ (a0@SV7)))=$true))),inference(extcnf_forall_pos,[status(thm)],[45])).
% 0.09/0.32 thf(48,plain,(![SV7:mworld]: (((~ (((mrel@'#c')@sK3_SY48)@SV7))=$true) | ((~ (a0@SV7))=$true))),inference(extcnf_or_pos,[status(thm)],[47])).
% 0.09/0.32 thf(49,plain,(![SV7:mworld]: (((((mrel@'#c')@sK3_SY48)@SV7)=$false) | ((~ (a0@SV7))=$true))),inference(extcnf_not_pos,[status(thm)],[48])).
% 0.09/0.32 thf(50,plain,(![SV7:mworld]: (((a0@SV7)=$false) | ((((mrel@'#c')@sK3_SY48)@SV7)=$false))),inference(extcnf_not_pos,[status(thm)],[49])).
% 0.09/0.32 thf(63,plain,(![SV8:mworld,SV9:mworld]: (((((mrel@'#c')@SV9)@SV8)=$true))),inference(rename,[status(thm)],[35])).
% 0.09/0.32 thf(66,plain,(![SV14:mworld]: (((a0@SV14)=$false) | ((((mrel@'#c')@sK3_SY48)@SV14)=$false))),inference(rename,[status(thm)],[50])).
% 0.09/0.32 thf(74,plain,(![SV14:mworld]: ((((a0@SV14) = (a0@mactual))=$false) | ((((mrel@'#c')@sK3_SY48)@SV14)=$false))),inference(res,[status(thm)],[66,27])).
% 0.09/0.32 thf(76,plain,(((((mrel@'#c')@sK3_SY48)@mactual)=$false)),inference(extuni,[status(esa)],[74:[bind(SV14,$thf(mactual))]])).
% 0.09/0.32 thf(82,plain,(![SV8:mworld,SV9:mworld]: ((((((mrel@'#c')@sK3_SY48)@mactual) = (((mrel@'#c')@SV9)@SV8))=$false))),inference(res,[status(thm)],[76,63])).
% 0.09/0.32 thf(84,plain,((($false)=$true)),inference(extuni,[status(esa)],[82:[bind(SV8,$thf(mactual)),bind(SV9,$thf(sK3_SY48))]])).
% 0.09/0.32 thf(85,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[84])).
% 0.09/0.32 % SZS output end CNFRefutation
% 0.09/0.32
% 0.09/0.32 %**** End of derivation protocol ****
% 0.09/0.32 %**** no. of clauses in derivation: 34 ****
% 0.09/0.32 %**** clause counter: 84 ****
% 0.09/0.32
% 0.09/0.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:84,loop_count:9,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------