%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM854+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 : n016.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 08:53:27 AM UTC 2026
% Result : Theorem 0.12s 0.40s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM854+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
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 19:26:37 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.40 % SZS status Theorem for theBenchmark
% 0.12/0.40 % SZS output start Proof for theBenchmark
% 0.12/0.40 fof(holds(conjunct1(315), 514, 0), conjecture,
% 0.12/0.40 greater(vmul(vd508, vd511), vmul(vd509, vd511)),
% 0.12/0.40 file('theBenchmark.p', holds(conjunct1(315), 514, 0)) ).
% 0.12/0.40
% 0.12/0.40 fof(holds(conjunct1(314), 510, 0), axiom,
% 0.12/0.40 greater(vd508, vd509),
% 0.12/0.40 file('theBenchmark.p', holds(conjunct1(314), 510, 0)) ).
% 0.12/0.40
% 0.12/0.40 fof(ass(cond(299, 0), 2), axiom,
% 0.12/0.40 ! [ Vd456,Vd457,Vd458 ] : ( greater(Vd457, Vd458) => greater(vmul(Vd457, Vd456), vmul(Vd458, Vd456)) ),
% 0.12/0.40 file('theBenchmark.p', ass(cond(299, 0), 2)) ).
% 0.12/0.40
% 0.12/0.40 fof(f_1_1, negated_conjecture,
% 0.12/0.40 ~( greater(vmul(vd508, vd511), vmul(vd509, vd511)) ),
% 0.12/0.40 inference(negate,[status(cth)],[holds(conjunct1(315), 514, 0)]) ).
% 0.12/0.40
% 0.12/0.40 fof(f_1_2, negated_conjecture,
% 0.12/0.40 ( ( ( ~greater(vmul(vd508, vd511), vmul(vd509, vd511)) ) ) ),
% 0.12/0.40 inference(definitional_conversion,[status(esa)],[f_1_1]) ).
% 0.12/0.40
% 0.12/0.40 cnf(f_1_3, negated_conjecture,
% 0.12/0.40 ( ~greater(vmul(vd508, vd511), vmul(vd509, vd511)) ),
% 0.12/0.40 inference(clausify,[status(thm)],[f_1_2]) ).
% 0.12/0.40
% 0.12/0.40 fof(f_3_1, plain,
% 0.12/0.40 greater(vd508, vd509),
% 0.12/0.40 inference(fof_nnf,[status(thm)],[holds(conjunct1(314), 510, 0)]) ).
% 0.12/0.40
% 0.12/0.40 cnf(f_3_2, plain,
% 0.12/0.40 ( greater(vd508, vd509) ),
% 0.12/0.40 inference(clausify,[status(thm)],[f_3_1]) ).
% 0.12/0.40
% 0.12/0.40 fof(f_9_1, plain,
% 0.12/0.40 ! [ Vd456,Vd457,Vd458 ] : ( ~( greater(Vd457, Vd458) ) | greater(vmul(Vd457, Vd456), vmul(Vd458, Vd456)) ),
% 0.12/0.40 inference(fof_nnf,[status(thm)],[ass(cond(299, 0), 2)]) ).
% 0.12/0.40
% 0.12/0.40 fof(f_9_2, plain,
% 0.12/0.40 ! [ U_17,U_16,U_15 ] : ( ~( greater(U_16, U_15) ) | greater(vmul(U_16, U_17), vmul(U_15, U_17)) ),
% 0.12/0.40 inference(variable_rename,[status(thm)],[f_9_1]) ).
% 0.12/0.40
% 0.12/0.40 cnf(f_9_3, plain,
% 0.12/0.40 ( ~greater(U_16, U_15) | greater(vmul(U_16, U_17), vmul(U_15, U_17)) ),
% 0.12/0.40 inference(clausify,[status(thm)],[f_9_2]) ).
% 0.12/0.40
% 0.12/0.40 cnf(t1, plain, ( ~greater(vmul(vd508, vd511), vmul(vd509, vd511)) ),
% 0.12/0.40 inference(start, [status(thm), parent(0:0)], [f_1_3]) ).
% 0.12/0.40
% 0.12/0.40 cnf(t2, plain, ( greater(vmul(vd508, vd511), vmul(vd509, vd511)) | ~greater(vd508, vd509) ),
% 0.12/0.40 inference(extension, [status(thm), parent(t1:1)], [f_9_3]) ).
% 0.12/0.40
% 0.12/0.40 cnf(t3, plain, $false,
% 0.12/0.40 inference(connection, [status(thm), parent(t2:1)], [t2:1,t1:1]) ).
% 0.12/0.40
% 0.12/0.40 cnf(t4, plain, ( greater(vd508, vd509) ),
% 0.12/0.40 inference(extension, [status(thm), parent(t2:2)], [f_3_2]) ).
% 0.12/0.40
% 0.12/0.40 cnf(t5, plain, $false,
% 0.12/0.40 inference(connection, [status(thm), parent(t4:1)], [t4:1,t2:2]) ).
% 0.12/0.40
% 0.12/0.40 % SZS output end Proof for theBenchmark
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