%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM853+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 : n002.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 2.79s 8.05s
% Output : Proof 2.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM853+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n002.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sat Sep 19 19:24:21 UTC 2026
% 0.09/5.37 % CPUTime :
% 2.79/8.05 % SZS status Theorem for theBenchmark
% 2.79/8.05 % SZS output start Proof for theBenchmark
% 2.79/8.05 fof(holds(conseq(307), 490, 0), conjecture,
% 2.79/8.05 greater(vd486, vd488),
% 2.79/8.05 file('theBenchmark.p', holds(conseq(307), 490, 0)) ).
% 2.79/8.05
% 2.79/8.05 fof(holds(antec(307), 489, 0), axiom,
% 2.79/8.05 greater(vmul(vd486, vd487), vmul(vd488, vd487)),
% 2.79/8.05 file('theBenchmark.p', holds(antec(307), 489, 0)) ).
% 2.79/8.05
% 2.79/8.05 fof(ass(cond(299, 0), 0), axiom,
% 2.79/8.05 ! [ Vd456,Vd465,Vd466 ] : ( less(Vd465, Vd466) => less(vmul(Vd465, Vd456), vmul(Vd466, Vd456)) ),
% 2.79/8.05 file('theBenchmark.p', ass(cond(299, 0), 0)) ).
% 2.79/8.05
% 2.79/8.05 fof(ass(cond(299, 0), 1), axiom,
% 2.79/8.05 ! [ Vd456,Vd461,Vd462 ] : ( Vd461 = Vd462 => vmul(Vd461, Vd456) = vmul(Vd462, Vd456) ),
% 2.79/8.05 file('theBenchmark.p', ass(cond(299, 0), 1)) ).
% 2.79/8.05
% 2.79/8.05 fof(ass(cond(goal(130), 0), 0), axiom,
% 2.79/8.05 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 2.79/8.05 file('theBenchmark.p', ass(cond(goal(130), 0), 0)) ).
% 2.79/8.05
% 2.79/8.05 fof(ass(cond(goal(130), 0), 2), axiom,
% 2.79/8.05 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 2.79/8.05 file('theBenchmark.p', ass(cond(goal(130), 0), 2)) ).
% 2.79/8.05
% 2.79/8.05 fof(ass(cond(goal(130), 0), 3), axiom,
% 2.79/8.05 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( greater(Vd203, Vd204) ) ),
% 2.79/8.05 file('theBenchmark.p', ass(cond(goal(130), 0), 3)) ).
% 2.79/8.05
% 2.79/8.05 fof(f_1_1, negated_conjecture,
% 2.79/8.05 ~( greater(vd486, vd488) ),
% 2.79/8.05 inference(negate,[status(cth)],[holds(conseq(307), 490, 0)]) ).
% 2.79/8.05
% 2.79/8.05 fof(f_1_2, negated_conjecture,
% 2.79/8.05 ( ( ( ~greater(vd486, vd488) ) ) ),
% 2.79/8.05 inference(definitional_conversion,[status(esa)],[f_1_1]) ).
% 2.79/8.05
% 2.79/8.05 cnf(f_1_3, negated_conjecture,
% 2.79/8.05 ( ~greater(vd486, vd488) ),
% 2.79/8.05 inference(clausify,[status(thm)],[f_1_2]) ).
% 2.79/8.05
% 2.79/8.05 fof(f_2_1, plain,
% 2.79/8.05 greater(vmul(vd486, vd487), vmul(vd488, vd487)),
% 2.79/8.05 inference(fof_nnf,[status(thm)],[holds(antec(307), 489, 0)]) ).
% 2.79/8.05
% 2.79/8.05 cnf(f_2_2, plain,
% 2.79/8.05 ( greater(vmul(vd486, vd487), vmul(vd488, vd487)) ),
% 2.79/8.05 inference(clausify,[status(thm)],[f_2_1]) ).
% 2.79/8.05
% 2.79/8.05 fof(f_3_1, plain,
% 2.79/8.05 ! [ Vd456,Vd465,Vd466 ] : ( ~( less(Vd465, Vd466) ) | less(vmul(Vd465, Vd456), vmul(Vd466, Vd456)) ),
% 2.79/8.05 inference(fof_nnf,[status(thm)],[ass(cond(299, 0), 0)]) ).
% 2.79/8.05
% 2.79/8.05 fof(f_3_2, plain,
% 2.79/8.05 ! [ U_2,U_1,U_0 ] : ( ~( less(U_1, U_0) ) | less(vmul(U_1, U_2), vmul(U_0, U_2)) ),
% 2.79/8.05 inference(variable_rename,[status(thm)],[f_3_1]) ).
% 2.79/8.05
% 2.79/8.05 cnf(f_3_3, plain,
% 2.79/8.05 ( ~less(U_1, U_0) | less(vmul(U_1, U_2), vmul(U_0, U_2)) ),
% 2.79/8.05 inference(clausify,[status(thm)],[f_3_2]) ).
% 2.79/8.05
% 2.79/8.05 fof(f_4_1, plain,
% 2.79/8.05 ! [ Vd456,Vd461,Vd462 ] : ( ~( Vd461 = Vd462 ) | vmul(Vd461, Vd456) = vmul(Vd462, Vd456) ),
% 2.79/8.05 inference(fof_nnf,[status(thm)],[ass(cond(299, 0), 1)]) ).
% 2.79/8.05
% 2.79/8.05 fof(f_4_2, plain,
% 2.79/8.05 ! [ U_5,U_4,U_3 ] : ( ~( U_4 = U_3 ) | vmul(U_4, U_5) = vmul(U_3, U_5) ),
% 2.79/8.05 inference(variable_rename,[status(thm)],[f_4_1]) ).
% 2.79/8.05
% 2.79/8.05 cnf(f_4_3, plain,
% 2.79/8.05 ( U_4 != U_3 | vmul(U_4, U_5) = vmul(U_3, U_5) ),
% 2.79/8.05 inference(clausify,[status(thm)],[f_4_2]) ).
% 2.79/8.05
% 2.79/8.05 fof(f_18_1, plain,
% 2.79/8.05 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 2.79/8.05 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 0)]) ).
% 2.79/8.05
% 2.79/8.05 fof(f_18_2, plain,
% 2.79/8.05 ! [ U_38,U_37 ] : ( U_38 = U_37 | greater(U_38, U_37) | less(U_38, U_37) ),
% 2.79/8.05 inference(variable_rename,[status(thm)],[f_18_1]) ).
% 2.79/8.05
% 2.79/8.05 cnf(f_18_3, plain,
% 2.79/8.05 ( U_38 = U_37 | greater(U_38, U_37) | less(U_38, U_37) ),
% 2.79/8.05 inference(clausify,[status(thm)],[f_18_2]) ).
% 2.79/8.05
% 2.79/8.05 fof(f_20_1, plain,
% 2.79/8.05 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 2.79/8.05 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 2)]) ).
% 2.79/8.05
% 2.79/8.05 fof(f_20_2, plain,
% 2.79/8.05 ! [ U_42,U_41 ] : ( ~( greater(U_42, U_41) ) | ~( less(U_42, U_41) ) ),
% 2.79/8.05 inference(variable_rename,[status(thm)],[f_20_1]) ).
% 2.79/8.05
% 2.79/8.05 cnf(f_20_3, plain,
% 2.79/8.05 ( ~greater(U_42, U_41) | ~less(U_42, U_41) ),
% 2.79/8.05 inference(clausify,[status(thm)],[f_20_2]) ).
% 2.79/8.05
% 2.79/8.05 fof(f_21_1, plain,
% 2.79/8.05 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( greater(Vd203, Vd204) ) ),
% 2.79/8.05 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 3)]) ).
% 2.79/8.05
% 2.79/8.05 fof(f_21_2, plain,
% 2.79/8.05 ! [ U_44,U_43 ] : ( ~( U_44 = U_43 ) | ~( greater(U_44, U_43) ) ),
% 2.79/8.05 inference(variable_rename,[status(thm)],[f_21_1]) ).
% 2.79/8.05
% 2.79/8.05 cnf(f_21_3, plain,
% 2.79/8.05 ( U_44 != U_43 | ~greater(U_44, U_43) ),
% 2.79/8.05 inference(clausify,[status(thm)],[f_21_2]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t1, plain, ( ~greater(vd486, vd488) ),
% 2.79/8.05 inference(start, [status(thm), parent(0:0)], [f_1_3]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t2, plain, ( greater(vd486, vd488) | vd486 = vd488 | less(vd486, vd488) ),
% 2.79/8.05 inference(extension, [status(thm), parent(t1:1)], [f_18_3]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t3, plain, $false,
% 2.79/8.05 inference(connection, [status(thm), parent(t2:1)], [t2:1,t1:1]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t4, plain, ( vd486 != vd488 | vmul(vd486, vd487) = vmul(vd488, vd487) ),
% 2.79/8.05 inference(extension, [status(thm), parent(t2:2)], [f_4_3]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t5, plain, $false,
% 2.79/8.05 inference(connection, [status(thm), parent(t4:1)], [t4:1,t2:2]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t6, plain, ( vmul(vd486, vd487) != vmul(vd488, vd487) | ~greater(vmul(vd486, vd487), vmul(vd488, vd487)) ),
% 2.79/8.05 inference(extension, [status(thm), parent(t4:2)], [f_21_3]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t7, plain, $false,
% 2.79/8.05 inference(connection, [status(thm), parent(t6:1)], [t6:1,t4:2]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t8, plain, ( greater(vmul(vd486, vd487), vmul(vd488, vd487)) ),
% 2.79/8.05 inference(extension, [status(thm), parent(t6:2)], [f_2_2]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t9, plain, $false,
% 2.79/8.05 inference(connection, [status(thm), parent(t8:1)], [t8:1,t6:2]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t10, plain, ( ~less(vd486, vd488) | less(vmul(vd486, vd487), vmul(vd488, vd487)) ),
% 2.79/8.05 inference(extension, [status(thm), parent(t2:3)], [f_3_3]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t11, plain, $false,
% 2.79/8.05 inference(connection, [status(thm), parent(t10:1)], [t10:1,t2:3]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t12, plain, ( ~less(vmul(vd486, vd487), vmul(vd488, vd487)) | ~greater(vmul(vd486, vd487), vmul(vd488, vd487)) ),
% 2.79/8.05 inference(extension, [status(thm), parent(t10:2)], [f_20_3]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t13, plain, $false,
% 2.79/8.05 inference(connection, [status(thm), parent(t12:1)], [t12:1,t10:2]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t14, plain, ( greater(vmul(vd486, vd487), vmul(vd488, vd487)) ),
% 2.79/8.05 inference(extension, [status(thm), parent(t12:2)], [f_2_2]) ).
% 2.79/8.05
% 2.79/8.05 cnf(t15, plain, $false,
% 2.79/8.05 inference(connection, [status(thm), parent(t14:1)], [t14:1,t12:2]) ).
% 2.79/8.05
% 2.79/8.05 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------