TSTP Solution File: SYO632-1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SYO632-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n018.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 17:36:05 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYO632-1 : TPTP v8.1.0. Released v7.1.0.
% 0.06/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  9 08:38:56 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  
% 0.12/0.35   No.of.Axioms: 5
% 0.12/0.35  
% 0.12/0.35   Length.of.Defs: 0
% 0.12/0.35  
% 0.12/0.35   Contains.Choice.Funs: false
% 0.12/0.35  (rf:0,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:7,loop_count:0,foatp_calls:0,translation:fof_full).eprover: <stdin>:1:(Column 63):(just read ''LEQ''): Closing bracket (')') expected, but String enclosed in single quote ('') read 
% 0.12/0.36  .eprover: <stdin>:1:(Column 63):(just read ''LEQ''): Closing bracket (')') expected, but String enclosed in single quote ('') read 
% 0.19/0.43  .eprover: <stdin>:1:(Column 63):(just read ''LEQ''): Closing bracket (')') expected, but String enclosed in single quote ('') read 
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  ********************************
% 0.19/0.50  *   All subproblems solved!    *
% 0.19/0.50  ********************************
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:94,loop_count:11,foatp_calls:3,translation:fof_full)
% 0.19/0.50  
% 0.19/0.50  %**** Beginning of derivation protocol ****
% 0.19/0.50  % SZS output start CNFRefutation
% 0.19/0.50   thf(tp_'0',type,('0': $i)).
% 0.19/0.50   thf(tp_'AP',type,('AP': ($i>($i>$i)))).
% 0.19/0.50   thf(tp_'E',type,('E': ($i>($i>$o)))).
% 0.19/0.50   thf(tp_'LEQ',type,('LEQ': ($i>($i>$o)))).
% 0.19/0.50   thf(tp_f,type,(f: ($i>$i))).
% 0.19/0.50   thf(tp_s,type,(s: ($i>$i))).
% 0.19/0.50   thf(2,axiom,(![A_0:$i,B_0:$i]: ((~ (('E'@(f@A_0))@'0')) | (~ (('E'@(f@B_0))@(s@'0'))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_04)).
% 0.19/0.50   thf(3,axiom,(![B:$i]: (('E'@(f@B))@(s@'0'))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_0_03)).
% 0.19/0.50   thf(4,axiom,(![K:$i]: (('E'@(f@(('AP'@(s@(s@'0')))@K)))@'0')),file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2_02)).
% 0.19/0.50   thf(10,plain,(((![A_0:$i,B_0:$i]: ((~ (('E'@(f@A_0))@'0')) | (~ (('E'@(f@B_0))@(s@'0')))))=$true)),inference(unfold_def,[status(thm)],[2])).
% 0.19/0.50   thf(11,plain,(((![B:$i]: (('E'@(f@B))@(s@'0')))=$true)),inference(unfold_def,[status(thm)],[3])).
% 0.19/0.50   thf(12,plain,(((![K:$i]: (('E'@(f@(('AP'@(s@(s@'0')))@K)))@'0'))=$true)),inference(unfold_def,[status(thm)],[4])).
% 0.19/0.50   thf(15,plain,((((![A_0:$i]: (~ (('E'@(f@A_0))@'0'))) | (![B_0:$i]: (~ (('E'@(f@B_0))@(s@'0')))))=$true)),inference(extcnf_combined,[status(esa)],[10])).
% 0.19/0.50   thf(17,plain,(((![K:$i]: (('E'@(f@(('AP'@(s@(s@'0')))@K)))@'0'))=$true)),inference(copy,[status(thm)],[12])).
% 0.19/0.50   thf(18,plain,(((![B:$i]: (('E'@(f@B))@(s@'0')))=$true)),inference(copy,[status(thm)],[11])).
% 0.19/0.50   thf(19,plain,((((![A_0:$i]: (~ (('E'@(f@A_0))@'0'))) | (![B_0:$i]: (~ (('E'@(f@B_0))@(s@'0')))))=$true)),inference(copy,[status(thm)],[15])).
% 0.19/0.50   thf(23,plain,(![SV2:$i]: (((('E'@(f@(('AP'@(s@(s@'0')))@SV2)))@'0')=$true))),inference(extcnf_forall_pos,[status(thm)],[17])).
% 0.19/0.50   thf(24,plain,(![SV3:$i]: (((('E'@(f@SV3))@(s@'0'))=$true))),inference(extcnf_forall_pos,[status(thm)],[18])).
% 0.19/0.50   thf(25,plain,(((![A_0:$i]: (~ (('E'@(f@A_0))@'0')))=$true) | ((![B_0:$i]: (~ (('E'@(f@B_0))@(s@'0'))))=$true)),inference(extcnf_or_pos,[status(thm)],[19])).
% 0.19/0.50   thf(28,plain,(![SV5:$i]: (((~ (('E'@(f@SV5))@'0'))=$true) | ((![B_0:$i]: (~ (('E'@(f@B_0))@(s@'0'))))=$true))),inference(extcnf_forall_pos,[status(thm)],[25])).
% 0.19/0.50   thf(30,plain,(![SV5:$i]: (((('E'@(f@SV5))@'0')=$false) | ((![B_0:$i]: (~ (('E'@(f@B_0))@(s@'0'))))=$true))),inference(extcnf_not_pos,[status(thm)],[28])).
% 0.19/0.50   thf(31,plain,(![SV5:$i,SV7:$i]: (((~ (('E'@(f@SV7))@(s@'0')))=$true) | ((('E'@(f@SV5))@'0')=$false))),inference(extcnf_forall_pos,[status(thm)],[30])).
% 0.19/0.50   thf(32,plain,(![SV5:$i,SV7:$i]: (((('E'@(f@SV7))@(s@'0'))=$false) | ((('E'@(f@SV5))@'0')=$false))),inference(extcnf_not_pos,[status(thm)],[31])).
% 0.19/0.50   thf(48,plain,(![SV9:$i]: (((('E'@(f@(('AP'@(s@(s@'0')))@SV9)))@'0')=$true))),inference(rename,[status(thm)],[23])).
% 0.19/0.50   thf(49,plain,(![SV10:$i]: (((('E'@(f@SV10))@(s@'0'))=$true))),inference(rename,[status(thm)],[24])).
% 0.19/0.50   thf(51,plain,(![SV13:$i,SV14:$i]: (((('E'@(f@SV14))@(s@'0'))=$false) | ((('E'@(f@SV13))@'0')=$false))),inference(rename,[status(thm)],[32])).
% 0.19/0.50   thf(56,plain,(![SV13:$i,SV14:$i,SV9:$i]: ((((('E'@(f@SV13))@'0') = (('E'@(f@(('AP'@(s@(s@'0')))@SV9)))@'0'))=$false) | ((('E'@(f@SV14))@(s@'0'))=$false))),inference(res,[status(thm)],[51,48])).
% 0.19/0.50   thf(63,plain,(![SV14:$i]: (((('E'@(f@SV14))@(s@'0'))=$false))),inference(extuni,[status(esa)],[56:[bind(SV13,$thf(('AP'@(s@(s@'0')))@SV9))]])).
% 0.19/0.50   thf(87,plain,(![SV24:$i]: (((('E'@(f@SV24))@(s@'0'))=$false))),inference(rename,[status(thm)],[63])).
% 0.19/0.50   thf(89,plain,(![SV24:$i,SV10:$i]: ((((('E'@(f@SV24))@(s@'0')) = (('E'@(f@SV10))@(s@'0')))=$false))),inference(res,[status(thm)],[87,49])).
% 0.19/0.50   thf(94,plain,((($false)=$true)),inference(extuni,[status(esa)],[89:[bind(SV24,$thf(SV10))]])).
% 0.19/0.50   thf(95,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[94])).
% 0.19/0.50  % SZS output end CNFRefutation
% 0.19/0.50  
% 0.19/0.50  %**** End of derivation protocol ****
% 0.19/0.50  %**** no. of clauses in derivation: 26 ****
% 0.19/0.50  %**** clause counter: 94 ****
% 0.19/0.50  
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:94,loop_count:11,foatp_calls:3,translation:fof_full)
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