%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM839+2 : 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 : n014.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 08:53:24 AM UTC 2026
% Result : Theorem 1.56s 1.83s
% Output : Proof 1.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM839+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 19 19:21:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 1.56/1.83 % SZS status Theorem for theBenchmark
% 1.56/1.83 % SZS output start Proof for theBenchmark
% 1.56/1.83 fof(holds(conseq(204), 332, 0), conjecture,
% 1.56/1.83 greater(vd328, vd329),
% 1.56/1.83 file('theBenchmark.p', holds(conseq(204), 332, 0)) ).
% 1.56/1.83
% 1.56/1.83 fof(holds(antec(204), 331, 0), axiom,
% 1.56/1.83 greater(vplus(vd328, vd330), vplus(vd329, vd330)),
% 1.56/1.83 file('theBenchmark.p', holds(antec(204), 331, 0)) ).
% 1.56/1.83
% 1.56/1.83 fof(ass(cond(goal(193), 0), 0), axiom,
% 1.56/1.83 ! [ Vd301,Vd302,Vd303 ] : ( less(Vd301, Vd302) => less(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 1.56/1.83 file('theBenchmark.p', ass(cond(goal(193), 0), 0)) ).
% 1.56/1.83
% 1.56/1.83 fof(ass(cond(goal(193), 0), 1), axiom,
% 1.56/1.83 ! [ Vd301,Vd302,Vd303 ] : ( Vd301 = Vd302 => vplus(Vd301, Vd303) = vplus(Vd302, Vd303) ),
% 1.56/1.83 file('theBenchmark.p', ass(cond(goal(193), 0), 1)) ).
% 1.56/1.83
% 1.56/1.83 fof(ass(cond(goal(130), 0), 0), axiom,
% 1.56/1.83 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 1.56/1.83 file('theBenchmark.p', ass(cond(goal(130), 0), 0)) ).
% 1.56/1.83
% 1.56/1.83 fof(ass(cond(goal(130), 0), 2), axiom,
% 1.56/1.83 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 1.56/1.83 file('theBenchmark.p', ass(cond(goal(130), 0), 2)) ).
% 1.56/1.83
% 1.56/1.83 fof(ass(cond(goal(130), 0), 3), axiom,
% 1.56/1.83 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( greater(Vd203, Vd204) ) ),
% 1.56/1.83 file('theBenchmark.p', ass(cond(goal(130), 0), 3)) ).
% 1.56/1.83
% 1.56/1.83 fof(f_1_1, negated_conjecture,
% 1.56/1.83 ~( greater(vd328, vd329) ),
% 1.56/1.83 inference(negate,[status(cth)],[holds(conseq(204), 332, 0)]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_1_2, negated_conjecture,
% 1.56/1.83 ( ( ( ~greater(vd328, vd329) ) ) ),
% 1.56/1.83 inference(definitional_conversion,[status(esa)],[f_1_1]) ).
% 1.56/1.83
% 1.56/1.83 cnf(f_1_3, negated_conjecture,
% 1.56/1.83 ( ~greater(vd328, vd329) ),
% 1.56/1.83 inference(clausify,[status(thm)],[f_1_2]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_2_1, plain,
% 1.56/1.83 greater(vplus(vd328, vd330), vplus(vd329, vd330)),
% 1.56/1.83 inference(fof_nnf,[status(thm)],[holds(antec(204), 331, 0)]) ).
% 1.56/1.83
% 1.56/1.83 cnf(f_2_2, plain,
% 1.56/1.83 ( greater(vplus(vd328, vd330), vplus(vd329, vd330)) ),
% 1.56/1.83 inference(clausify,[status(thm)],[f_2_1]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_3_1, plain,
% 1.56/1.83 ! [ Vd301,Vd302,Vd303 ] : ( ~( less(Vd301, Vd302) ) | less(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 1.56/1.83 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 0)]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_3_2, plain,
% 1.56/1.83 ! [ U_2,U_1,U_0 ] : ( ~( less(U_2, U_1) ) | less(vplus(U_2, U_0), vplus(U_1, U_0)) ),
% 1.56/1.83 inference(variable_rename,[status(thm)],[f_3_1]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_3_3, plain,
% 1.56/1.83 ! [ U_2,U_1 ] : ( ~( less(U_2, U_1) ) | ! [ U_0 ] : less(vplus(U_2, U_0), vplus(U_1, U_0)) ),
% 1.56/1.83 inference(miniscope,[status(thm)],[f_3_2]) ).
% 1.56/1.83
% 1.56/1.83 cnf(f_3_4, plain,
% 1.56/1.83 ( ~less(U_2, U_1) | less(vplus(U_2, U_0), vplus(U_1, U_0)) ),
% 1.56/1.83 inference(clausify,[status(thm)],[f_3_3]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_4_1, plain,
% 1.56/1.83 ! [ Vd301,Vd302,Vd303 ] : ( ~( Vd301 = Vd302 ) | vplus(Vd301, Vd303) = vplus(Vd302, Vd303) ),
% 1.56/1.83 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 1)]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_4_2, plain,
% 1.56/1.83 ! [ U_5,U_4,U_3 ] : ( ~( U_5 = U_4 ) | vplus(U_5, U_3) = vplus(U_4, U_3) ),
% 1.56/1.83 inference(variable_rename,[status(thm)],[f_4_1]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_4_3, plain,
% 1.56/1.83 ! [ U_5,U_4 ] : ( ~( U_5 = U_4 ) | ! [ U_3 ] : vplus(U_5, U_3) = vplus(U_4, U_3) ),
% 1.56/1.83 inference(miniscope,[status(thm)],[f_4_2]) ).
% 1.56/1.83
% 1.56/1.83 cnf(f_4_4, plain,
% 1.56/1.83 ( U_5 != U_4 | vplus(U_5, U_3) = vplus(U_4, U_3) ),
% 1.56/1.83 inference(clausify,[status(thm)],[f_4_3]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_16_1, plain,
% 1.56/1.83 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 1.56/1.83 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 0)]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_16_2, plain,
% 1.56/1.83 ! [ U_41,U_40 ] : ( U_41 = U_40 | greater(U_41, U_40) | less(U_41, U_40) ),
% 1.56/1.83 inference(variable_rename,[status(thm)],[f_16_1]) ).
% 1.56/1.83
% 1.56/1.83 cnf(f_16_3, plain,
% 1.56/1.83 ( U_41 = U_40 | greater(U_41, U_40) | less(U_41, U_40) ),
% 1.56/1.83 inference(clausify,[status(thm)],[f_16_2]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_18_1, plain,
% 1.56/1.83 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 1.56/1.83 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 2)]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_18_2, plain,
% 1.56/1.83 ! [ U_45,U_44 ] : ( ~( greater(U_45, U_44) ) | ~( less(U_45, U_44) ) ),
% 1.56/1.83 inference(variable_rename,[status(thm)],[f_18_1]) ).
% 1.56/1.83
% 1.56/1.83 cnf(f_18_3, plain,
% 1.56/1.83 ( ~greater(U_45, U_44) | ~less(U_45, U_44) ),
% 1.56/1.83 inference(clausify,[status(thm)],[f_18_2]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_19_1, plain,
% 1.56/1.83 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( greater(Vd203, Vd204) ) ),
% 1.56/1.83 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 3)]) ).
% 1.56/1.83
% 1.56/1.83 fof(f_19_2, plain,
% 1.56/1.83 ! [ U_47,U_46 ] : ( ~( U_47 = U_46 ) | ~( greater(U_47, U_46) ) ),
% 1.56/1.83 inference(variable_rename,[status(thm)],[f_19_1]) ).
% 1.56/1.83
% 1.56/1.83 cnf(f_19_3, plain,
% 1.56/1.83 ( U_47 != U_46 | ~greater(U_47, U_46) ),
% 1.56/1.83 inference(clausify,[status(thm)],[f_19_2]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t1, plain, ( ~greater(vd328, vd329) ),
% 1.56/1.83 inference(start, [status(thm), parent(0:0)], [f_1_3]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t2, plain, ( greater(vd328, vd329) | vd328 = vd329 | less(vd328, vd329) ),
% 1.56/1.83 inference(extension, [status(thm), parent(t1:1)], [f_16_3]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t3, plain, $false,
% 1.56/1.83 inference(connection, [status(thm), parent(t2:1)], [t2:1,t1:1]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t4, plain, ( vd328 != vd329 | vplus(vd328, vd330) = vplus(vd329, vd330) ),
% 1.56/1.83 inference(extension, [status(thm), parent(t2:2)], [f_4_4]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t5, plain, $false,
% 1.56/1.83 inference(connection, [status(thm), parent(t4:1)], [t4:1,t2:2]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t6, plain, ( vplus(vd328, vd330) != vplus(vd329, vd330) | ~greater(vplus(vd328, vd330), vplus(vd329, vd330)) ),
% 1.56/1.83 inference(extension, [status(thm), parent(t4:2)], [f_19_3]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t7, plain, $false,
% 1.56/1.83 inference(connection, [status(thm), parent(t6:1)], [t6:1,t4:2]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t8, plain, ( greater(vplus(vd328, vd330), vplus(vd329, vd330)) ),
% 1.56/1.83 inference(extension, [status(thm), parent(t6:2)], [f_2_2]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t9, plain, $false,
% 1.56/1.83 inference(connection, [status(thm), parent(t8:1)], [t8:1,t6:2]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t10, plain, ( ~less(vd328, vd329) | less(vplus(vd328, vd330), vplus(vd329, vd330)) ),
% 1.56/1.83 inference(extension, [status(thm), parent(t2:3)], [f_3_4]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t11, plain, $false,
% 1.56/1.83 inference(connection, [status(thm), parent(t10:1)], [t10:1,t2:3]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t12, plain, ( ~less(vplus(vd328, vd330), vplus(vd329, vd330)) | ~greater(vplus(vd328, vd330), vplus(vd329, vd330)) ),
% 1.56/1.83 inference(extension, [status(thm), parent(t10:2)], [f_18_3]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t13, plain, $false,
% 1.56/1.83 inference(connection, [status(thm), parent(t12:1)], [t12:1,t10:2]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t14, plain, ( greater(vplus(vd328, vd330), vplus(vd329, vd330)) ),
% 1.56/1.83 inference(extension, [status(thm), parent(t12:2)], [f_2_2]) ).
% 1.56/1.83
% 1.56/1.83 cnf(t15, plain, $false,
% 1.56/1.83 inference(connection, [status(thm), parent(t14:1)], [t14:1,t12:2]) ).
% 1.56/1.83
% 1.56/1.83 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------