0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 This is a problem 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 180 /export/starexec/sandbox/benchmark/theBenchmark.p 0.09/0.34 % Computer : n018.cluster.edu 0.09/0.34 % Model : x86_64 x86_64 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.34 % Memory : 8046.5625MB 0.09/0.34 % OS : Linux 6.8.0-71-generic 0.09/0.34 % CPULimit : 1440 0.09/0.34 % WCLimit : 180 0.09/0.34 % DateTime : Mon Jul 27 09:23:23 UTC 2026 0.09/0.35 % CPUTime : 10.55/10.81 % SZS status Theorem for theBenchmark 10.55/10.81 % SZS output start Proof for theBenchmark 10.55/10.81 fof(holds(antec(307), 489, 0), axiom, 10.55/10.81 greater(vmul(vd486, vd487), vmul(vd488, vd487)), 10.55/10.81 file('theBenchmark.p', holds(antec(307), 489, 0)) ). 10.55/10.81 10.55/10.81 fof(holds(conseq(307), 490, 0), conjecture, 10.55/10.81 greater(vd486, vd488), 10.55/10.81 file('theBenchmark.p', holds(conseq(307), 490, 0)) ). 10.55/10.81 10.55/10.81 fof(ass(cond(goal(130), 0), 2), axiom, 10.55/10.81 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ), 10.55/10.81 file('theBenchmark.p', ass(cond(goal(130), 0), 2)) ). 10.55/10.81 10.55/10.81 fof(ass(cond(299, 0), 1), axiom, 10.55/10.81 ! [ Vd456,Vd461,Vd462 ] : ( Vd461 = Vd462 => vmul(Vd462, Vd456) = vmul(Vd461, Vd456) ), 10.55/10.81 file('theBenchmark.p', ass(cond(299, 0), 1)) ). 10.55/10.81 10.55/10.81 fof(ass(cond(goal(130), 0), 3), axiom, 10.55/10.81 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( Vd203 = Vd204 ) ), 10.55/10.81 file('theBenchmark.p', ass(cond(goal(130), 0), 3)) ). 10.55/10.81 10.55/10.81 fof(ass(cond(goal(130), 0), 0), axiom, 10.55/10.81 ! [ Vd203,Vd204 ] : ( Vd204 = Vd203 | less(Vd203, Vd204) | greater(Vd203, Vd204) ), 10.55/10.81 file('theBenchmark.p', ass(cond(goal(130), 0), 0)) ). 10.55/10.81 10.55/10.81 fof(ass(cond(299, 0), 0), axiom, 10.55/10.81 ! [ Vd456,Vd465,Vd466 ] : ( less(Vd465, Vd466) => less(vmul(Vd465, Vd456), vmul(Vd466, Vd456)) ), 10.55/10.81 file('theBenchmark.p', ass(cond(299, 0), 0)) ). 10.55/10.81 10.55/10.81 fof(f_4_1, plain, 10.55/10.81 greater(vmul(vd486, vd487), vmul(vd488, vd487)), 10.55/10.81 inference(fof_nnf,[status(thm)],[holds(antec(307), 489, 0)]) ). 10.55/10.81 10.55/10.81 cnf(f_4_2, plain, 10.55/10.81 ( greater(vmul(vd486, vd487), vmul(vd488, vd487)) ), 10.55/10.81 inference(clausify,[status(thm)],[f_4_1]) ). 10.55/10.81 10.55/10.81 fof(f_8_1, negated_conjecture, 10.55/10.81 ~( greater(vd486, vd488) ), 10.55/10.81 inference(negate,[status(cth)],[holds(conseq(307), 490, 0)]) ). 10.55/10.81 10.55/10.81 fof(f_8_2, negated_conjecture, 10.55/10.81 ( ( ( ~greater(vd486, vd488) ) ) ), 10.55/10.81 inference(definitional_conversion,[status(esa)],[f_8_1]) ). 10.55/10.81 10.55/10.81 cnf(f_8_3, negated_conjecture, 10.55/10.81 ( ~greater(vd486, vd488) ), 10.55/10.81 inference(clausify,[status(thm)],[f_8_2]) ). 10.55/10.81 10.55/10.81 fof(f_10_1, plain, 10.55/10.81 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ), 10.55/10.81 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 2)]) ). 10.55/10.81 10.55/10.81 fof(f_10_2, plain, 10.55/10.81 ! [ U_17,U_16 ] : ( ~( greater(U_17, U_16) ) | ~( less(U_17, U_16) ) ), 10.55/10.81 inference(variable_rename,[status(thm)],[f_10_1]) ). 10.55/10.81 10.55/10.81 cnf(f_10_3, plain, 10.55/10.81 ( ~greater(U_17, U_16) | ~less(U_17, U_16) ), 10.55/10.81 inference(clausify,[status(thm)],[f_10_2]) ). 10.55/10.81 10.55/10.81 fof(f_11_1, plain, 10.55/10.81 ! [ Vd456,Vd461,Vd462 ] : ( ~( Vd461 = Vd462 ) | vmul(Vd462, Vd456) = vmul(Vd461, Vd456) ), 10.55/10.81 inference(fof_nnf,[status(thm)],[ass(cond(299, 0), 1)]) ). 10.55/10.81 10.55/10.81 fof(f_11_2, plain, 10.55/10.81 ! [ U_20,U_19,U_18 ] : ( ~( U_19 = U_18 ) | vmul(U_18, U_20) = vmul(U_19, U_20) ), 10.55/10.81 inference(variable_rename,[status(thm)],[f_11_1]) ). 10.55/10.81 10.55/10.81 cnf(f_11_3, plain, 10.55/10.81 ( U_19 != U_18 | vmul(U_18, U_20) = vmul(U_19, U_20) ), 10.55/10.81 inference(clausify,[status(thm)],[f_11_2]) ). 10.55/10.81 10.55/10.81 fof(f_15_1, plain, 10.55/10.81 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( Vd203 = Vd204 ) ), 10.55/10.81 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 3)]) ). 10.55/10.81 10.55/10.81 fof(f_15_2, plain, 10.55/10.81 ! [ U_28,U_27 ] : ( ~( greater(U_28, U_27) ) | ~( U_28 = U_27 ) ), 10.55/10.81 inference(variable_rename,[status(thm)],[f_15_1]) ). 10.55/10.81 10.55/10.81 cnf(f_15_3, plain, 10.55/10.82 ( ~greater(U_28, U_27) | U_28 != U_27 ), 10.55/10.82 inference(clausify,[status(thm)],[f_15_2]) ). 10.55/10.82 10.55/10.82 fof(f_17_1, plain, 10.55/10.82 ! [ Vd203,Vd204 ] : ( Vd204 = Vd203 | less(Vd203, Vd204) | greater(Vd203, Vd204) ), 10.55/10.82 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 0)]) ). 10.55/10.82 10.55/10.82 fof(f_17_2, plain, 10.55/10.82 ! [ U_32,U_31 ] : ( U_31 = U_32 | less(U_32, U_31) | greater(U_32, U_31) ), 10.55/10.82 inference(variable_rename,[status(thm)],[f_17_1]) ). 10.55/10.82 10.55/10.82 cnf(f_17_3, plain, 10.55/10.82 ( U_31 = U_32 | less(U_32, U_31) | greater(U_32, U_31) ), 10.55/10.82 inference(clausify,[status(thm)],[f_17_2]) ). 10.55/10.82 10.55/10.82 fof(f_22_1, plain, 10.55/10.82 ! [ Vd456,Vd465,Vd466 ] : ( ~( less(Vd465, Vd466) ) | less(vmul(Vd465, Vd456), vmul(Vd466, Vd456)) ), 10.55/10.82 inference(fof_nnf,[status(thm)],[ass(cond(299, 0), 0)]) ). 10.55/10.82 10.55/10.82 fof(f_22_2, plain, 10.55/10.82 ! [ U_44,U_43,U_42 ] : ( ~( less(U_43, U_42) ) | less(vmul(U_43, U_44), vmul(U_42, U_44)) ), 10.55/10.82 inference(variable_rename,[status(thm)],[f_22_1]) ). 10.55/10.82 10.55/10.82 cnf(f_22_3, plain, 10.55/10.82 ( ~less(U_43, U_42) | less(vmul(U_43, U_44), vmul(U_42, U_44)) ), 10.55/10.82 inference(clausify,[status(thm)],[f_22_2]) ). 10.55/10.82 10.55/10.82 cnf(t1, plain, ( ~greater(vd486, vd488) ), 10.55/10.82 inference(start, [status(thm), parent(0:0)], [f_8_3]) ). 10.55/10.82 10.55/10.82 cnf(t2, plain, ( greater(vd486, vd488) | vd488 = vd486 | less(vd486, vd488) ), 10.55/10.82 inference(extension, [status(thm), parent(t1:1)], [f_17_3]) ). 10.55/10.82 10.55/10.82 cnf(t3, plain, $false, 10.55/10.82 inference(connection, [status(thm), parent(t2:1)], [t2:1,t1:1]) ). 10.55/10.82 10.55/10.82 cnf(t4, plain, ( vd488 != vd486 | vmul(vd486, vd487) = vmul(vd488, vd487) ), 10.55/10.82 inference(extension, [status(thm), parent(t2:2)], [f_11_3]) ). 10.55/10.82 10.55/10.82 cnf(t5, plain, $false, 10.55/10.82 inference(connection, [status(thm), parent(t4:1)], [t4:1,t2:2]) ). 10.55/10.82 10.55/10.82 cnf(t6, plain, ( vmul(vd486, vd487) != vmul(vd488, vd487) | ~greater(vmul(vd486, vd487), vmul(vd488, vd487)) ), 10.55/10.82 inference(extension, [status(thm), parent(t4:2)], [f_15_3]) ). 10.55/10.82 10.55/10.82 cnf(t7, plain, $false, 10.55/10.82 inference(connection, [status(thm), parent(t6:1)], [t6:1,t4:2]) ). 10.55/10.82 10.55/10.82 cnf(t8, plain, ( greater(vmul(vd486, vd487), vmul(vd488, vd487)) ), 10.55/10.82 inference(extension, [status(thm), parent(t6:2)], [f_4_2]) ). 10.55/10.82 10.55/10.82 cnf(t9, plain, $false, 10.55/10.82 inference(connection, [status(thm), parent(t8:1)], [t8:1,t6:2]) ). 10.55/10.82 10.55/10.82 cnf(t10, plain, ( ~less(vd486, vd488) | less(vmul(vd486, vd487), vmul(vd488, vd487)) ), 10.55/10.82 inference(extension, [status(thm), parent(t2:3)], [f_22_3]) ). 10.55/10.82 10.55/10.82 cnf(t11, plain, $false, 10.55/10.82 inference(connection, [status(thm), parent(t10:1)], [t10:1,t2:3]) ). 10.55/10.82 10.55/10.82 cnf(t12, plain, ( ~less(vmul(vd486, vd487), vmul(vd488, vd487)) | ~greater(vmul(vd486, vd487), vmul(vd488, vd487)) ), 10.55/10.82 inference(extension, [status(thm), parent(t10:2)], [f_10_3]) ). 10.55/10.82 10.55/10.82 cnf(t13, plain, $false, 10.55/10.82 inference(connection, [status(thm), parent(t12:1)], [t12:1,t10:2]) ). 10.55/10.82 10.55/10.82 cnf(t14, plain, ( greater(vmul(vd486, vd487), vmul(vd488, vd487)) ), 10.55/10.82 inference(extension, [status(thm), parent(t12:2)], [f_4_2]) ). 10.55/10.82 10.55/10.82 cnf(t15, plain, $false, 10.55/10.82 inference(connection, [status(thm), parent(t14:1)], [t14:1,t12:2]) ). 10.55/10.82 10.55/10.82 % SZS output end Proof for theBenchmark 10.65/10.92 EOF