%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM850+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 : n011.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 0.32s 25.50s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM850+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
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/25.41 % CPULimit : 300
% 0.08/25.41 % WCLimit : 300
% 0.08/25.41 % DateTime : Sat Sep 19 19:21:55 UTC 2026
% 0.08/25.41 % CPUTime :
% 0.32/25.50 % SZS status Theorem for theBenchmark
% 0.32/25.50 % SZS output start Proof for theBenchmark
% 0.32/25.50 fof(qe(conseq_conjunct1(conseq(302))), conjecture,
% 0.32/25.50 ? [ Vd473 ] : vd470 = vplus(vd471, Vd473),
% 0.32/25.50 file('theBenchmark.p', qe(conseq_conjunct1(conseq(302)))) ).
% 0.32/25.50
% 0.32/25.50 fof(holds(antec(302), 472, 0), axiom,
% 0.32/25.50 greater(vd470, vd471),
% 0.32/25.50 file('theBenchmark.p', holds(antec(302), 472, 0)) ).
% 0.32/25.50
% 0.32/25.50 fof(def(cond(conseq(axiom(3)), 11), 1), axiom,
% 0.32/25.50 ! [ Vd193,Vd194 ] : ( greater(Vd194, Vd193) <=> ? [ Vd196 ] : Vd194 = vplus(Vd193, Vd196) ),
% 0.32/25.50 file('theBenchmark.p', def(cond(conseq(axiom(3)), 11), 1)) ).
% 0.32/25.50
% 0.32/25.50 fof(f_1_1, negated_conjecture,
% 0.32/25.50 ~( ? [ Vd473 ] : vd470 = vplus(vd471, Vd473) ),
% 0.32/25.50 inference(negate,[status(cth)],[qe(conseq_conjunct1(conseq(302)))]) ).
% 0.32/25.50
% 0.32/25.50 fof(f_1_2, negated_conjecture,
% 0.32/25.50 ! [ Vd473 ] : ~( vd470 = vplus(vd471, Vd473) ),
% 0.32/25.50 inference(fof_nnf,[status(thm)],[f_1_1]) ).
% 0.32/25.50
% 0.32/25.50 fof(f_1_3, negated_conjecture,
% 0.32/25.50 ! [ U_0 ] : ~( vd470 = vplus(vd471, U_0) ),
% 0.32/25.50 inference(variable_rename,[status(thm)],[f_1_2]) ).
% 0.32/25.50
% 0.32/25.50 fof(f_1_4, negated_conjecture,
% 0.32/25.50 ( ( ! [U_0] : ( vd470 != vplus(vd471, U_0) ) ) ),
% 0.32/25.50 inference(definitional_conversion,[status(esa)],[f_1_3]) ).
% 0.32/25.50
% 0.32/25.50 cnf(f_1_5, negated_conjecture,
% 0.32/25.50 ( vd470 != vplus(vd471, U_0) ),
% 0.32/25.50 inference(clausify,[status(thm)],[f_1_4]) ).
% 0.32/25.50
% 0.32/25.50 fof(f_2_1, plain,
% 0.32/25.50 greater(vd470, vd471),
% 0.32/25.50 inference(fof_nnf,[status(thm)],[holds(antec(302), 472, 0)]) ).
% 0.32/25.50
% 0.32/25.50 cnf(f_2_2, plain,
% 0.32/25.50 ( greater(vd470, vd471) ),
% 0.32/25.50 inference(clausify,[status(thm)],[f_2_1]) ).
% 0.32/25.50
% 0.32/25.50 fof(f_35_1, plain,
% 0.32/25.50 ! [ Vd193,Vd194 ] : ( ( ~( greater(Vd194, Vd193) ) | ? [ Vd196 ] : Vd194 = vplus(Vd193, Vd196) ) & ( ! [ Vd196 ] : ~( Vd194 = vplus(Vd193, Vd196) ) | greater(Vd194, Vd193) ) ),
% 0.32/25.50 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 11), 1)]) ).
% 0.32/25.50
% 0.32/25.50 fof(f_35_2, plain,
% 0.32/25.50 ! [ U_99,U_98 ] : ( ( ~( greater(U_98, U_99) ) | ? [ U_96 ] : U_98 = vplus(U_99, U_96) ) & ( ! [ U_97 ] : ~( U_98 = vplus(U_99, U_97) ) | greater(U_98, U_99) ) ),
% 0.32/25.50 inference(variable_rename,[status(thm)],[f_35_1]) ).
% 0.32/25.50
% 0.32/25.50 fof(f_35_3, plain,
% 0.32/25.50 ( ! [ U_102,U_100 ] : ( ~( greater(U_100, U_102) ) | ? [ U_96 ] : U_100 = vplus(U_102, U_96) ) & ! [ U_103,U_101 ] : ( ! [ U_97 ] : ~( U_101 = vplus(U_103, U_97) ) | greater(U_101, U_103) ) ),
% 0.32/25.50 inference(miniscope,[status(thm)],[f_35_2]) ).
% 0.32/25.50
% 0.32/25.50 fof(f_35_4, plain,
% 0.32/25.50 ( ! [ U_102,U_100 ] : ( ~( greater(U_100, U_102) ) | U_100 = vplus(U_102, sK2(U_102, U_100)) ) & ! [ U_103,U_101 ] : ( ! [ U_97 ] : ~( U_101 = vplus(U_103, U_97) ) | greater(U_101, U_103) ) ),
% 0.32/25.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_96,sK2(U_102, U_100))],[f_35_3]) ).
% 0.32/25.50
% 0.32/25.50 cnf(f_35_5, plain,
% 0.32/25.50 ( ~greater(U_100, U_102) | U_100 = vplus(U_102, sK2(U_102, U_100)) ),
% 0.32/25.50 inference(clausify,[status(thm)],[f_35_4]) ).
% 0.32/25.50
% 0.32/25.50 cnf(t1, plain, ( vd470 != vplus(vd471, sK2(vd471, vd470)) ),
% 0.32/25.50 inference(start, [status(thm), parent(0:0)], [f_1_5]) ).
% 0.32/25.50
% 0.32/25.50 cnf(t2, plain, ( vd470 = vplus(vd471, sK2(vd471, vd470)) | ~greater(vd470, vd471) ),
% 0.32/25.50 inference(extension, [status(thm), parent(t1:1)], [f_35_5]) ).
% 0.32/25.50
% 0.32/25.50 cnf(t3, plain, $false,
% 0.32/25.50 inference(connection, [status(thm), parent(t2:1)], [t2:1,t1:1]) ).
% 0.32/25.50
% 0.32/25.50 cnf(t4, plain, ( greater(vd470, vd471) ),
% 0.32/25.50 inference(extension, [status(thm), parent(t2:2)], [f_2_2]) ).
% 0.32/25.50
% 0.32/25.50 cnf(t5, plain, $false,
% 0.32/25.50 inference(connection, [status(thm), parent(t4:1)], [t4:1,t2:2]) ).
% 0.32/25.50
% 0.32/25.50 % SZS output end Proof for theBenchmark
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