%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM837+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /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 : Thu Sep 24 08:53:23 AM UTC 2026
% Result : Theorem 0.15s 0.63s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM837+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n017.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sat Sep 19 19:16:26 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.15/0.63 % SZS status Theorem for theBenchmark
% 0.15/0.63 % SZS output start Proof for theBenchmark
% 0.15/0.63 fof(qe(171), conjecture,
% 0.15/0.63 ? [ Vd273 ] : vd269 = vplus(vd268, Vd273),
% 0.15/0.63 file('theBenchmark.p', qe(171)) ).
% 0.15/0.63
% 0.15/0.63 fof(holds(conjunct1(170), 270, 0), axiom,
% 0.15/0.63 less(vd268, vd269),
% 0.15/0.63 file('theBenchmark.p', holds(conjunct1(170), 270, 0)) ).
% 0.15/0.63
% 0.15/0.63 fof(def(cond(conseq(axiom(3)), 12), 1), axiom,
% 0.15/0.63 ! [ Vd198,Vd199 ] : ( less(Vd199, Vd198) <=> ? [ Vd201 ] : Vd198 = vplus(Vd199, Vd201) ),
% 0.15/0.63 file('theBenchmark.p', def(cond(conseq(axiom(3)), 12), 1)) ).
% 0.15/0.63
% 0.15/0.63 fof(f_1_1, negated_conjecture,
% 0.15/0.63 ~( ? [ Vd273 ] : vd269 = vplus(vd268, Vd273) ),
% 0.15/0.63 inference(negate,[status(cth)],[qe(171)]) ).
% 0.15/0.63
% 0.15/0.63 fof(f_1_2, negated_conjecture,
% 0.15/0.63 ! [ Vd273 ] : ~( vd269 = vplus(vd268, Vd273) ),
% 0.15/0.63 inference(fof_nnf,[status(thm)],[f_1_1]) ).
% 0.15/0.63
% 0.15/0.63 fof(f_1_3, negated_conjecture,
% 0.15/0.63 ! [ U_0 ] : ~( vd269 = vplus(vd268, U_0) ),
% 0.15/0.63 inference(variable_rename,[status(thm)],[f_1_2]) ).
% 0.15/0.63
% 0.15/0.63 fof(f_1_4, negated_conjecture,
% 0.15/0.63 ( ( ! [U_0] : ( vd269 != vplus(vd268, U_0) ) ) ),
% 0.15/0.63 inference(definitional_conversion,[status(esa)],[f_1_3]) ).
% 0.15/0.63
% 0.15/0.63 cnf(f_1_5, negated_conjecture,
% 0.15/0.63 ( vd269 != vplus(vd268, U_0) ),
% 0.15/0.63 inference(clausify,[status(thm)],[f_1_4]) ).
% 0.15/0.63
% 0.15/0.63 fof(f_3_1, plain,
% 0.15/0.63 less(vd268, vd269),
% 0.15/0.63 inference(fof_nnf,[status(thm)],[holds(conjunct1(170), 270, 0)]) ).
% 0.15/0.63
% 0.15/0.63 cnf(f_3_2, plain,
% 0.15/0.63 ( less(vd268, vd269) ),
% 0.15/0.63 inference(clausify,[status(thm)],[f_3_1]) ).
% 0.15/0.63
% 0.15/0.63 fof(f_14_1, plain,
% 0.15/0.63 ! [ Vd198,Vd199 ] : ( ( ~( less(Vd199, Vd198) ) | ? [ Vd201 ] : Vd198 = vplus(Vd199, Vd201) ) & ( ! [ Vd201 ] : ~( Vd198 = vplus(Vd199, Vd201) ) | less(Vd199, Vd198) ) ),
% 0.15/0.63 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 12), 1)]) ).
% 0.15/0.63
% 0.15/0.63 fof(f_14_2, plain,
% 0.15/0.63 ! [ U_32,U_31 ] : ( ( ~( less(U_31, U_32) ) | ? [ U_29 ] : U_32 = vplus(U_31, U_29) ) & ( ! [ U_30 ] : ~( U_32 = vplus(U_31, U_30) ) | less(U_31, U_32) ) ),
% 0.15/0.63 inference(variable_rename,[status(thm)],[f_14_1]) ).
% 0.15/0.63
% 0.15/0.63 fof(f_14_3, plain,
% 0.15/0.63 ( ! [ U_35,U_33 ] : ( ~( less(U_33, U_35) ) | ? [ U_29 ] : U_35 = vplus(U_33, U_29) ) & ! [ U_36,U_34 ] : ( ! [ U_30 ] : ~( U_36 = vplus(U_34, U_30) ) | less(U_34, U_36) ) ),
% 0.15/0.63 inference(miniscope,[status(thm)],[f_14_2]) ).
% 0.15/0.63
% 0.15/0.63 fof(f_14_4, plain,
% 0.15/0.63 ( ! [ U_35,U_33 ] : ( ~( less(U_33, U_35) ) | U_35 = vplus(U_33, sK1(U_35, U_33)) ) & ! [ U_36,U_34 ] : ( ! [ U_30 ] : ~( U_36 = vplus(U_34, U_30) ) | less(U_34, U_36) ) ),
% 0.15/0.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_29,sK1(U_35, U_33))],[f_14_3]) ).
% 0.15/0.63
% 0.15/0.63 cnf(f_14_5, plain,
% 0.15/0.63 ( ~less(U_33, U_35) | U_35 = vplus(U_33, sK1(U_35, U_33)) ),
% 0.15/0.63 inference(clausify,[status(thm)],[f_14_4]) ).
% 0.15/0.63
% 0.15/0.63 cnf(t1, plain, ( vd269 != vplus(vd268, sK1(vd269, vd268)) ),
% 0.15/0.63 inference(start, [status(thm), parent(0:0)], [f_1_5]) ).
% 0.15/0.63
% 0.15/0.63 cnf(t2, plain, ( vd269 = vplus(vd268, sK1(vd269, vd268)) | ~less(vd268, vd269) ),
% 0.15/0.63 inference(extension, [status(thm), parent(t1:1)], [f_14_5]) ).
% 0.15/0.63
% 0.15/0.63 cnf(t3, plain, $false,
% 0.15/0.63 inference(connection, [status(thm), parent(t2:1)], [t2:1,t1:1]) ).
% 0.15/0.63
% 0.15/0.63 cnf(t4, plain, ( less(vd268, vd269) ),
% 0.15/0.63 inference(extension, [status(thm), parent(t2:2)], [f_3_2]) ).
% 0.15/0.63
% 0.15/0.63 cnf(t5, plain, $false,
% 0.15/0.63 inference(connection, [status(thm), parent(t4:1)], [t4:1,t2:2]) ).
% 0.15/0.63
% 0.15/0.63 % SZS output end Proof for theBenchmark
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