%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYN000+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 11:02:39 AM UTC 2026
% Result : Theorem 0.09s 0.22s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN000+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n017.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Oct 6 17:10:15 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.22
% 0.09/0.22 No.of.Axioms: 2
% 0.09/0.22
% 0.09/0.22 Length.of.Defs: 0
% 0.09/0.22
% 0.09/0.22 Contains.Choice.Funs: false
% 0.09/0.22
% 0.09/0.22 ********************************
% 0.09/0.22 * All subproblems solved! *
% 0.09/0.22 ********************************
% 0.09/0.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:27,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.22
% 0.09/0.22 %**** Beginning of derivation protocol ****
% 0.09/0.22 % SZS output start CNFRefutation
% 0.09/0.22 thf(tp_'A \'quoted \\ escape\'',type,('A \'quoted \\ escape\'': $i)).
% 0.09/0.22 thf(tp_'A constant',type,('A constant': $i)).
% 0.09/0.22 thf(tp_'A function',type,('A function': ($i>$i))).
% 0.09/0.22 thf(tp_'A predicate',type,('A predicate': ($i>$o))).
% 0.09/0.22 thf(tp_'A proposition',type,('A proposition': $o)).
% 0.09/0.22 thf(tp_a,type,(a: $i)).
% 0.09/0.22 thf(tp_b,type,(b: $i)).
% 0.09/0.22 thf(tp_f,type,(f: ($i>$i))).
% 0.09/0.22 thf(tp_g,type,(g: ($i>($i>($i>$i))))).
% 0.09/0.22 thf(tp_h,type,(h: $i)).
% 0.09/0.22 thf(tp_ia1,type,(ia1: $o)).
% 0.09/0.22 thf(tp_ia2,type,(ia2: $o)).
% 0.09/0.22 thf(tp_ia3,type,(ia3: $o)).
% 0.09/0.22 thf(tp_p,type,(p: ($i>$o))).
% 0.09/0.22 thf(tp_p0,type,(p0: $o)).
% 0.09/0.22 thf(tp_q,type,(q: ($i>($i>$o)))).
% 0.09/0.22 thf(tp_q0,type,(q0: $o)).
% 0.09/0.22 thf(tp_r,type,(r: ($i>($i>($i>$o))))).
% 0.09/0.22 thf(tp_r0,type,(r0: $o)).
% 0.09/0.22 thf(tp_s,type,(s: ($i>$o))).
% 0.09/0.22 thf(tp_s0,type,(s0: $o)).
% 0.09/0.22 thf(7,axiom,($true | $false),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_false)).
% 0.09/0.22 thf(11,axiom,(p@h),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',role_hypothesis)).
% 0.09/0.22 thf(12,conjecture,(?[X:$i]: (p@X)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',role_conjecture)).
% 0.09/0.22 thf(13,negated_conjecture,(((?[X:$i]: (p@X))=$false)),inference(negate_conjecture,[status(cth)],[12])).
% 0.09/0.22 thf(14,plain,(((?[X:$i]: (p@X))=$false)),inference(unfold_def,[status(thm)],[13])).
% 0.09/0.22 thf(15,plain,((($true | $false)=$true)),inference(unfold_def,[status(thm)],[7])).
% 0.09/0.22 thf(16,plain,(((p@h)=$true)),inference(unfold_def,[status(thm)],[11])).
% 0.09/0.22 thf(17,plain,(((~ (?[X:$i]: (p@X)))=$true)),inference(polarity_switch,[status(thm)],[14])).
% 0.09/0.22 thf(18,plain,(((p@h)=$true)),inference(copy,[status(thm)],[16])).
% 0.09/0.22 thf(19,plain,((($true | $false)=$true)),inference(copy,[status(thm)],[15])).
% 0.09/0.22 thf(20,plain,(((~ (?[X:$i]: (p@X)))=$true)),inference(copy,[status(thm)],[17])).
% 0.09/0.22 thf(21,plain,(((~ (~ (![SX0:$i]: (~ (p@SX0)))))=$true)),inference(unfold_def,[status(thm)],[20])).
% 0.09/0.22 thf(22,plain,((($true)=$true) | (($false)=$true)),inference(extcnf_or_pos,[status(thm)],[19])).
% 0.09/0.22 thf(23,plain,(((~ (![SX0:$i]: (~ (p@SX0))))=$false)),inference(extcnf_not_pos,[status(thm)],[21])).
% 0.09/0.22 thf(24,plain,(((![SX0:$i]: (~ (p@SX0)))=$true)),inference(extcnf_not_neg,[status(thm)],[23])).
% 0.09/0.22 thf(25,plain,(![SV1:$i]: (((~ (p@SV1))=$true))),inference(extcnf_forall_pos,[status(thm)],[24])).
% 0.09/0.22 thf(26,plain,(![SV1:$i]: (((p@SV1)=$false))),inference(extcnf_not_pos,[status(thm)],[25])).
% 0.09/0.22 thf(27,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[18,26,22])).
% 0.09/0.22 thf(28,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[27])).
% 0.09/0.22 % SZS output end CNFRefutation
% 0.09/0.22
% 0.09/0.22 %**** End of derivation protocol ****
% 0.09/0.22 %**** no. of clauses in derivation: 19 ****
% 0.09/0.22 %**** clause counter: 27 ****
% 0.09/0.22
% 0.09/0.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:27,loop_count:0,foatp_calls:1,translation:fof_full)
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