%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM838+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 0.09s 0.63s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM838+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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.58 % Computer : n019.cluster.edu
% 0.09/0.58 % Model : x86_64 x86_64
% 0.09/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.58 % Memory : 8046.5625MB
% 0.09/0.58 % OS : Linux 6.8.0-71-generic
% 0.09/0.58 % CPULimit : 300
% 0.09/0.58 % WCLimit : 300
% 0.09/0.58 % DateTime : Sat Sep 19 19:21:21 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.63 % SZS status Theorem for theBenchmark
% 0.09/0.63 % SZS output start Proof for theBenchmark
% 0.09/0.63 fof(holds(conseq(195), 305, 0), conjecture,
% 0.09/0.63 greater(vplus(vd301, vd303), vplus(vd302, vd303)),
% 0.09/0.63 file('theBenchmark.p', holds(conseq(195), 305, 0)) ).
% 0.09/0.63
% 0.09/0.63 fof(holds(antec(195), 304, 0), axiom,
% 0.09/0.63 greater(vd301, vd302),
% 0.09/0.63 file('theBenchmark.p', holds(antec(195), 304, 0)) ).
% 0.09/0.63
% 0.09/0.63 fof(ass(cond(proof(196), 0), 4), axiom,
% 0.09/0.63 ! [ Vd310,Vd311,Vd312 ] : ( greater(Vd311, Vd312) => greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)) ),
% 0.09/0.63 file('theBenchmark.p', ass(cond(proof(196), 0), 4)) ).
% 0.09/0.63
% 0.09/0.63 fof(f_1_1, negated_conjecture,
% 0.09/0.63 ~( greater(vplus(vd301, vd303), vplus(vd302, vd303)) ),
% 0.09/0.63 inference(negate,[status(cth)],[holds(conseq(195), 305, 0)]) ).
% 0.09/0.63
% 0.09/0.63 fof(f_1_2, negated_conjecture,
% 0.09/0.63 ( ( ( ~greater(vplus(vd301, vd303), vplus(vd302, vd303)) ) ) ),
% 0.09/0.63 inference(definitional_conversion,[status(esa)],[f_1_1]) ).
% 0.09/0.63
% 0.09/0.63 cnf(f_1_3, negated_conjecture,
% 0.09/0.63 ( ~greater(vplus(vd301, vd303), vplus(vd302, vd303)) ),
% 0.09/0.63 inference(clausify,[status(thm)],[f_1_2]) ).
% 0.09/0.63
% 0.09/0.63 fof(f_2_1, plain,
% 0.09/0.63 greater(vd301, vd302),
% 0.09/0.63 inference(fof_nnf,[status(thm)],[holds(antec(195), 304, 0)]) ).
% 0.09/0.63
% 0.09/0.63 cnf(f_2_2, plain,
% 0.09/0.63 ( greater(vd301, vd302) ),
% 0.09/0.63 inference(clausify,[status(thm)],[f_2_1]) ).
% 0.09/0.63
% 0.09/0.63 fof(f_7_1, plain,
% 0.09/0.63 ! [ Vd310,Vd311,Vd312 ] : ( ~( greater(Vd311, Vd312) ) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)) ),
% 0.09/0.63 inference(fof_nnf,[status(thm)],[ass(cond(proof(196), 0), 4)]) ).
% 0.09/0.63
% 0.09/0.63 fof(f_7_2, plain,
% 0.09/0.63 ! [ U_14,U_13,U_12 ] : ( ~( greater(U_13, U_12) ) | greater(vplus(U_13, U_14), vplus(U_12, U_14)) ),
% 0.09/0.63 inference(variable_rename,[status(thm)],[f_7_1]) ).
% 0.09/0.63
% 0.09/0.63 cnf(f_7_3, plain,
% 0.09/0.63 ( ~greater(U_13, U_12) | greater(vplus(U_13, U_14), vplus(U_12, U_14)) ),
% 0.09/0.63 inference(clausify,[status(thm)],[f_7_2]) ).
% 0.09/0.63
% 0.09/0.63 cnf(t1, plain, ( ~greater(vplus(vd301, vd303), vplus(vd302, vd303)) ),
% 0.09/0.63 inference(start, [status(thm), parent(0:0)], [f_1_3]) ).
% 0.09/0.63
% 0.09/0.63 cnf(t2, plain, ( greater(vplus(vd301, vd303), vplus(vd302, vd303)) | ~greater(vd301, vd302) ),
% 0.09/0.63 inference(extension, [status(thm), parent(t1:1)], [f_7_3]) ).
% 0.09/0.63
% 0.09/0.63 cnf(t3, plain, $false,
% 0.09/0.64 inference(connection, [status(thm), parent(t2:1)], [t2:1,t1:1]) ).
% 0.09/0.64
% 0.09/0.64 cnf(t4, plain, ( greater(vd301, vd302) ),
% 0.09/0.64 inference(extension, [status(thm), parent(t2:2)], [f_2_2]) ).
% 0.09/0.64
% 0.09/0.64 cnf(t5, plain, $false,
% 0.09/0.64 inference(connection, [status(thm), parent(t4:1)], [t4:1,t2:2]) ).
% 0.09/0.64
% 0.09/0.64 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------