%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM840+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 : 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 : Thu Sep 24 08:53:24 AM UTC 2026
% Result : Theorem 1.44s 11.94s
% Output : Proof 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM840+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
% 0.09/10.59 % Computer : n010.cluster.edu
% 0.09/10.59 % Model : x86_64 x86_64
% 0.09/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.59 % Memory : 8046.5625MB
% 0.09/10.59 % OS : Linux 6.8.0-71-generic
% 0.09/10.59 % CPULimit : 300
% 0.09/10.59 % WCLimit : 300
% 0.09/10.59 % DateTime : Sat Sep 19 19:21:37 UTC 2026
% 0.14/10.60 % CPUTime :
% 1.44/11.94 % SZS status Theorem for theBenchmark
% 1.44/11.94 % SZS output start Proof for theBenchmark
% 1.44/11.94 fof(holds(conseq(conjunct2(conjunct2(204))), 336, 0), conjecture,
% 1.44/11.94 less(vd328, vd329),
% 1.44/11.94 file('theBenchmark.p', holds(conseq(conjunct2(conjunct2(204))), 336, 0)) ).
% 1.44/11.94
% 1.44/11.94 fof(holds(antec(conjunct2(conjunct2(204))), 335, 0), axiom,
% 1.44/11.94 less(vplus(vd328, vd330), vplus(vd329, vd330)),
% 1.44/11.94 file('theBenchmark.p', holds(antec(conjunct2(conjunct2(204))), 335, 0)) ).
% 1.44/11.94
% 1.44/11.94 fof(ass(cond(goal(193), 0), 1), axiom,
% 1.44/11.94 ! [ Vd301,Vd302,Vd303 ] : ( Vd301 = Vd302 => vplus(Vd301, Vd303) = vplus(Vd302, Vd303) ),
% 1.44/11.94 file('theBenchmark.p', ass(cond(goal(193), 0), 1)) ).
% 1.44/11.94
% 1.44/11.94 fof(ass(cond(goal(193), 0), 2), axiom,
% 1.44/11.94 ! [ Vd301,Vd302,Vd303 ] : ( greater(Vd301, Vd302) => greater(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 1.44/11.94 file('theBenchmark.p', ass(cond(goal(193), 0), 2)) ).
% 1.44/11.94
% 1.44/11.94 fof(ass(cond(goal(130), 0), 0), axiom,
% 1.44/11.94 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 1.44/11.94 file('theBenchmark.p', ass(cond(goal(130), 0), 0)) ).
% 1.44/11.94
% 1.44/11.94 fof(ass(cond(goal(130), 0), 1), axiom,
% 1.44/11.94 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( less(Vd203, Vd204) ) ),
% 1.44/11.94 file('theBenchmark.p', ass(cond(goal(130), 0), 1)) ).
% 1.44/11.94
% 1.44/11.94 fof(ass(cond(goal(130), 0), 2), axiom,
% 1.44/11.94 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 1.44/11.94 file('theBenchmark.p', ass(cond(goal(130), 0), 2)) ).
% 1.44/11.94
% 1.44/11.94 fof(f_1_1, negated_conjecture,
% 1.44/11.94 ~( less(vd328, vd329) ),
% 1.44/11.94 inference(negate,[status(cth)],[holds(conseq(conjunct2(conjunct2(204))), 336, 0)]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_1_2, negated_conjecture,
% 1.44/11.94 ( ( ( ~less(vd328, vd329) ) ) ),
% 1.44/11.94 inference(definitional_conversion,[status(esa)],[f_1_1]) ).
% 1.44/11.94
% 1.44/11.94 cnf(f_1_3, negated_conjecture,
% 1.44/11.94 ( ~less(vd328, vd329) ),
% 1.44/11.94 inference(clausify,[status(thm)],[f_1_2]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_2_1, plain,
% 1.44/11.94 less(vplus(vd328, vd330), vplus(vd329, vd330)),
% 1.44/11.94 inference(fof_nnf,[status(thm)],[holds(antec(conjunct2(conjunct2(204))), 335, 0)]) ).
% 1.44/11.94
% 1.44/11.94 cnf(f_2_2, plain,
% 1.44/11.94 ( less(vplus(vd328, vd330), vplus(vd329, vd330)) ),
% 1.44/11.94 inference(clausify,[status(thm)],[f_2_1]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_6_1, plain,
% 1.44/11.94 ! [ Vd301,Vd302,Vd303 ] : ( ~( Vd301 = Vd302 ) | vplus(Vd301, Vd303) = vplus(Vd302, Vd303) ),
% 1.44/11.94 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 1)]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_6_2, plain,
% 1.44/11.94 ! [ U_5,U_4,U_3 ] : ( ~( U_5 = U_4 ) | vplus(U_5, U_3) = vplus(U_4, U_3) ),
% 1.44/11.94 inference(variable_rename,[status(thm)],[f_6_1]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_6_3, plain,
% 1.44/11.94 ! [ U_5,U_4 ] : ( ~( U_5 = U_4 ) | ! [ U_3 ] : vplus(U_5, U_3) = vplus(U_4, U_3) ),
% 1.44/11.94 inference(miniscope,[status(thm)],[f_6_2]) ).
% 1.44/11.94
% 1.44/11.94 cnf(f_6_4, plain,
% 1.44/11.94 ( U_5 != U_4 | vplus(U_5, U_3) = vplus(U_4, U_3) ),
% 1.44/11.94 inference(clausify,[status(thm)],[f_6_3]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_7_1, plain,
% 1.44/11.94 ! [ Vd301,Vd302,Vd303 ] : ( ~( greater(Vd301, Vd302) ) | greater(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 1.44/11.94 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 2)]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_7_2, plain,
% 1.44/11.94 ! [ U_8,U_7,U_6 ] : ( ~( greater(U_8, U_7) ) | greater(vplus(U_8, U_6), vplus(U_7, U_6)) ),
% 1.44/11.94 inference(variable_rename,[status(thm)],[f_7_1]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_7_3, plain,
% 1.44/11.94 ! [ U_8,U_7 ] : ( ~( greater(U_8, U_7) ) | ! [ U_6 ] : greater(vplus(U_8, U_6), vplus(U_7, U_6)) ),
% 1.44/11.94 inference(miniscope,[status(thm)],[f_7_2]) ).
% 1.44/11.94
% 1.44/11.94 cnf(f_7_4, plain,
% 1.44/11.94 ( ~greater(U_8, U_7) | greater(vplus(U_8, U_6), vplus(U_7, U_6)) ),
% 1.44/11.94 inference(clausify,[status(thm)],[f_7_3]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_10_1, plain,
% 1.44/11.94 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 1.44/11.94 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 0)]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_10_2, plain,
% 1.44/11.94 ! [ U_14,U_13 ] : ( U_14 = U_13 | greater(U_14, U_13) | less(U_14, U_13) ),
% 1.44/11.94 inference(variable_rename,[status(thm)],[f_10_1]) ).
% 1.44/11.94
% 1.44/11.94 cnf(f_10_3, plain,
% 1.44/11.94 ( U_14 = U_13 | greater(U_14, U_13) | less(U_14, U_13) ),
% 1.44/11.94 inference(clausify,[status(thm)],[f_10_2]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_11_1, plain,
% 1.44/11.94 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( less(Vd203, Vd204) ) ),
% 1.44/11.94 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 1)]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_11_2, plain,
% 1.44/11.94 ! [ U_16,U_15 ] : ( ~( U_16 = U_15 ) | ~( less(U_16, U_15) ) ),
% 1.44/11.94 inference(variable_rename,[status(thm)],[f_11_1]) ).
% 1.44/11.94
% 1.44/11.94 cnf(f_11_3, plain,
% 1.44/11.94 ( U_16 != U_15 | ~less(U_16, U_15) ),
% 1.44/11.94 inference(clausify,[status(thm)],[f_11_2]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_12_1, plain,
% 1.44/11.94 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 1.44/11.94 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 2)]) ).
% 1.44/11.94
% 1.44/11.94 fof(f_12_2, plain,
% 1.44/11.94 ! [ U_18,U_17 ] : ( ~( greater(U_18, U_17) ) | ~( less(U_18, U_17) ) ),
% 1.44/11.94 inference(variable_rename,[status(thm)],[f_12_1]) ).
% 1.44/11.94
% 1.44/11.94 cnf(f_12_3, plain,
% 1.44/11.94 ( ~greater(U_18, U_17) | ~less(U_18, U_17) ),
% 1.44/11.94 inference(clausify,[status(thm)],[f_12_2]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t1, plain, ( ~less(vd328, vd329) ),
% 1.44/11.94 inference(start, [status(thm), parent(0:0)], [f_1_3]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t2, plain, ( less(vd328, vd329) | vd328 = vd329 | greater(vd328, vd329) ),
% 1.44/11.94 inference(extension, [status(thm), parent(t1:1)], [f_10_3]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t3, plain, $false,
% 1.44/11.94 inference(connection, [status(thm), parent(t2:1)], [t2:1,t1:1]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t4, plain, ( vd328 != vd329 | vplus(vd328, vd330) = vplus(vd329, vd330) ),
% 1.44/11.94 inference(extension, [status(thm), parent(t2:2)], [f_6_4]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t5, plain, $false,
% 1.44/11.94 inference(connection, [status(thm), parent(t4:1)], [t4:1,t2:2]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t6, plain, ( vplus(vd328, vd330) != vplus(vd329, vd330) | ~less(vplus(vd328, vd330), vplus(vd329, vd330)) ),
% 1.44/11.94 inference(extension, [status(thm), parent(t4:2)], [f_11_3]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t7, plain, $false,
% 1.44/11.94 inference(connection, [status(thm), parent(t6:1)], [t6:1,t4:2]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t8, plain, ( less(vplus(vd328, vd330), vplus(vd329, vd330)) ),
% 1.44/11.94 inference(extension, [status(thm), parent(t6:2)], [f_2_2]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t9, plain, $false,
% 1.44/11.94 inference(connection, [status(thm), parent(t8:1)], [t8:1,t6:2]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t10, plain, ( ~greater(vd328, vd329) | greater(vplus(vd328, vd330), vplus(vd329, vd330)) ),
% 1.44/11.94 inference(extension, [status(thm), parent(t2:3)], [f_7_4]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t11, plain, $false,
% 1.44/11.94 inference(connection, [status(thm), parent(t10:1)], [t10:1,t2:3]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t12, plain, ( ~greater(vplus(vd328, vd330), vplus(vd329, vd330)) | ~less(vplus(vd328, vd330), vplus(vd329, vd330)) ),
% 1.44/11.94 inference(extension, [status(thm), parent(t10:2)], [f_12_3]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t13, plain, $false,
% 1.44/11.94 inference(connection, [status(thm), parent(t12:1)], [t12:1,t10:2]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t14, plain, ( less(vplus(vd328, vd330), vplus(vd329, vd330)) ),
% 1.44/11.94 inference(extension, [status(thm), parent(t12:2)], [f_2_2]) ).
% 1.44/11.94
% 1.44/11.94 cnf(t15, plain, $false,
% 1.44/11.94 inference(connection, [status(thm), parent(t14:1)], [t14:1,t12:2]) ).
% 1.44/11.94
% 1.44/11.94 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------