%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM847+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 08:53:26 AM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM847+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
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 19 19:21:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.40 % SZS status Theorem for theBenchmark
% 0.09/0.40 % SZS output start Proof for theBenchmark
% 0.09/0.40 fof(holds(286, 441, 3), conjecture,
% 0.09/0.40 vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) = vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)),
% 0.09/0.40 file('theBenchmark.p', holds(286, 441, 3)) ).
% 0.09/0.40
% 0.09/0.40 fof(ass(cond(33, 0), 0), axiom,
% 0.09/0.40 ! [ Vd46,Vd47,Vd48 ] : vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)),
% 0.09/0.40 file('theBenchmark.p', ass(cond(33, 0), 0)) ).
% 0.09/0.40
% 0.09/0.40 fof(f_1_1, negated_conjecture,
% 0.09/0.40 ~( vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) = vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) ),
% 0.09/0.40 inference(negate,[status(cth)],[holds(286, 441, 3)]) ).
% 0.09/0.40
% 0.09/0.40 fof(f_1_2, negated_conjecture,
% 0.09/0.40 ( ( ( vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) != vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) ) ) ),
% 0.09/0.40 inference(definitional_conversion,[status(esa)],[f_1_1]) ).
% 0.09/0.40
% 0.09/0.40 cnf(f_1_3, negated_conjecture,
% 0.09/0.40 ( vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) != vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) ),
% 0.09/0.40 inference(clausify,[status(thm)],[f_1_2]) ).
% 0.09/0.40
% 0.09/0.40 fof(f_16_1, plain,
% 0.09/0.40 ! [ Vd46,Vd47,Vd48 ] : vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)),
% 0.09/0.40 inference(fof_nnf,[status(thm)],[ass(cond(33, 0), 0)]) ).
% 0.09/0.40
% 0.09/0.40 fof(f_16_2, plain,
% 0.09/0.40 ! [ U_16,U_15,U_14 ] : vplus(vplus(U_16, U_15), U_14) = vplus(U_16, vplus(U_15, U_14)),
% 0.09/0.40 inference(variable_rename,[status(thm)],[f_16_1]) ).
% 0.09/0.40
% 0.09/0.40 cnf(f_16_3, plain,
% 0.09/0.40 ( vplus(vplus(U_16, U_15), U_14) = vplus(U_16, vplus(U_15, U_14)) ),
% 0.09/0.40 inference(clausify,[status(thm)],[f_16_2]) ).
% 0.09/0.40
% 0.09/0.40 cnf(t1, plain, ( vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) != vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) ),
% 0.09/0.40 inference(start, [status(thm), parent(0:0)], [f_1_3]) ).
% 0.09/0.40
% 0.09/0.40 cnf(t2, plain, ( vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) = vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) ),
% 0.09/0.40 inference(extension, [status(thm), parent(t1:1)], [f_16_3]) ).
% 0.09/0.40
% 0.09/0.40 cnf(t3, plain, $false,
% 0.09/0.40 inference(connection, [status(thm), parent(t2:1)], [t2:1,t1:1]) ).
% 0.09/0.40
% 0.09/0.40 % SZS output end Proof for theBenchmark
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