0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 This is a problem 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 180 /export/starexec/sandbox/benchmark/theBenchmark.p 0.09/0.40 % Computer : n002.cluster.edu 0.09/0.40 % Model : x86_64 x86_64 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.40 % Memory : 8046.5625MB 0.09/0.40 % OS : Linux 6.8.0-71-generic 0.09/0.40 % CPULimit : 1440 0.09/0.40 % WCLimit : 180 0.09/0.40 % DateTime : Mon Jul 27 09:00:59 UTC 2026 0.09/0.40 % CPUTime : 115.76/116.20 % SZS status Theorem for theBenchmark 115.76/116.20 % SZS output start Proof for theBenchmark 115.83/116.20 fof(leq_trans, axiom, 115.83/116.20 ! [ X,Y,Z ] : ( ( leq(X, Y) & leq(Y, Z) ) => leq(X, Z) ), 115.83/116.20 file('MGT002+0.ax', leq_trans) ). 115.83/116.20 115.83/116.20 fof(leq_less_trans, axiom, 115.83/116.20 ! [ X,Y,Z ] : ( ( less(Y, Z) & leq(X, Y) ) => less(X, Z) ), 115.83/116.20 file('MGT002+0.ax', leq_less_trans) ). 115.83/116.20 115.83/116.20 fof(irreflexive, axiom, 115.83/116.20 ! [ X ] : ~( less(X, X) ), 115.83/116.20 file('MGT002+0.ax', irreflexive) ). 115.83/116.20 115.83/116.20 fof(in_closed, axiom, 115.83/116.20 ! [ X,A,B ] : ( ( leq(X, B) & leq(A, X) ) <=> in_closed(X, A, B) ), 115.83/116.20 file('MGT002+2.ax', in_closed) ). 115.83/116.20 115.83/116.20 fof(ord_v600_v601, axiom, 115.83/116.20 less(v600, v601), 115.83/116.20 file('theBenchmark.p', ord_v600_v601) ). 115.83/116.20 115.83/116.20 fof(odrl411, conjecture, 115.83/116.20 ~( ? [ X,Y,Z ] : ( less(v300, Y) & in_lopen(Z, v0, v32) & leq(v16, Z) & in_open(Y, v0, v500) & in_closed(X, v601, v601) & in_closed(X, v600, v600) ) ), 115.83/116.20 file('theBenchmark.p', odrl411) ). 115.83/116.20 115.83/116.20 fof(f_5_1, plain, 115.83/116.20 ! [ X,Y,Z ] : ( ( ~( leq(X, Y) ) | ~( leq(Y, Z) ) ) | leq(X, Z) ), 115.83/116.20 inference(fof_nnf,[status(thm)],[leq_trans]) ). 115.83/116.20 115.83/116.20 fof(f_5_2, plain, 115.83/116.20 ! [ U_16,U_15,U_14 ] : ( ( ~( leq(U_16, U_15) ) | ~( leq(U_15, U_14) ) ) | leq(U_16, U_14) ), 115.83/116.20 inference(variable_rename,[status(thm)],[f_5_1]) ). 115.83/116.20 115.83/116.20 cnf(f_5_3, plain, 115.83/116.20 ( ~leq(U_16, U_15) | ~leq(U_15, U_14) | leq(U_16, U_14) ), 115.83/116.20 inference(clausify,[status(thm)],[f_5_2]) ). 115.83/116.20 115.83/116.20 fof(f_6_1, plain, 115.83/116.20 ! [ X,Y,Z ] : ( ( ~( less(Y, Z) ) | ~( leq(X, Y) ) ) | less(X, Z) ), 115.83/116.20 inference(fof_nnf,[status(thm)],[leq_less_trans]) ). 115.83/116.20 115.83/116.20 fof(f_6_2, plain, 115.83/116.20 ! [ U_19,U_18,U_17 ] : ( ( ~( less(U_18, U_17) ) | ~( leq(U_19, U_18) ) ) | less(U_19, U_17) ), 115.83/116.20 inference(variable_rename,[status(thm)],[f_6_1]) ). 115.83/116.20 115.83/116.20 cnf(f_6_3, plain, 115.83/116.20 ( ~less(U_18, U_17) | ~leq(U_19, U_18) | less(U_19, U_17) ), 115.83/116.20 inference(clausify,[status(thm)],[f_6_2]) ). 115.83/116.20 115.83/116.20 fof(f_8_1, plain, 115.83/116.20 ! [ X ] : ~( less(X, X) ), 115.83/116.20 inference(fof_nnf,[status(thm)],[irreflexive]) ). 115.83/116.20 115.83/116.20 fof(f_8_2, plain, 115.83/116.20 ! [ U_22 ] : ~( less(U_22, U_22) ), 115.83/116.20 inference(variable_rename,[status(thm)],[f_8_1]) ). 115.83/116.20 115.83/116.20 cnf(f_8_3, plain, 115.83/116.20 ( ~less(U_22, U_22) ), 115.83/116.20 inference(clausify,[status(thm)],[f_8_2]) ). 115.83/116.20 115.83/116.20 fof(f_20_1, plain, 115.83/116.20 ! [ X,A,B ] : ( ( ( ~( leq(X, B) ) | ~( leq(A, X) ) ) | in_closed(X, A, B) ) & ( ~( in_closed(X, A, B) ) | ( leq(X, B) & leq(A, X) ) ) ), 115.83/116.20 inference(fof_nnf,[status(thm)],[in_closed]) ). 115.83/116.20 115.83/116.20 fof(f_20_2, plain, 115.83/116.20 ! [ U_75,U_74,U_73 ] : ( ( ( ~( leq(U_75, U_73) ) | ~( leq(U_74, U_75) ) ) | in_closed(U_75, U_74, U_73) ) & ( ~( in_closed(U_75, U_74, U_73) ) | ( leq(U_75, U_73) & leq(U_74, U_75) ) ) ), 115.83/116.20 inference(variable_rename,[status(thm)],[f_20_1]) ). 115.83/116.20 115.83/116.20 fof(f_20_3, plain, 115.83/116.20 ( ! [ U_80,U_78,U_76 ] : ( ( ~( leq(U_80, U_76) ) | ~( leq(U_78, U_80) ) ) | in_closed(U_80, U_78, U_76) ) & ! [ U_81,U_79,U_77 ] : ( ~( in_closed(U_81, U_79, U_77) ) | ( leq(U_81, U_77) & leq(U_79, U_81) ) ) ), 115.83/116.20 inference(miniscope,[status(thm)],[f_20_2]) ). 115.83/116.20 115.83/116.20 cnf(f_20_5, plain, 115.83/116.20 ( ~in_closed(U_81, U_79, U_77) | leq(U_81, U_77) ), 115.83/116.20 inference(clausify,[status(thm)],[f_20_3]) ). 115.83/116.20 115.83/116.20 cnf(f_20_6, plain, 115.83/116.20 ( ~in_closed(U_81, U_79, U_77) | leq(U_79, U_81) ), 115.83/116.20 inference(clausify,[status(thm)],[f_20_3]) ). 115.83/116.20 115.83/116.20 fof(f_31_1, plain, 115.83/116.20 less(v600, v601), 115.83/116.20 inference(fof_nnf,[status(thm)],[ord_v600_v601]) ). 115.83/116.20 115.83/116.20 cnf(f_31_2, plain, 115.83/116.20 ( less(v600, v601) ), 115.83/116.20 inference(clausify,[status(thm)],[f_31_1]) ). 115.83/116.20 115.83/116.20 fof(f_33_1, negated_conjecture, 115.83/116.20 ? [ X,Y,Z ] : ( less(v300, Y) & in_lopen(Z, v0, v32) & leq(v16, Z) & in_open(Y, v0, v500) & in_closed(X, v601, v601) & in_closed(X, v600, v600) ), 115.83/116.20 inference(negate,[status(cth)],[odrl411]) ). 115.83/116.20 115.83/116.20 fof(f_33_2, negated_conjecture, 115.83/116.20 ? [ U_114,U_113,U_112 ] : ( less(v300, U_113) & in_lopen(U_112, v0, v32) & leq(v16, U_112) & in_open(U_113, v0, v500) & in_closed(U_114, v601, v601) & in_closed(U_114, v600, v600) ), 115.83/116.20 inference(variable_rename,[status(thm)],[f_33_1]) ). 115.83/116.20 115.83/116.20 fof(f_33_3, negated_conjecture, 115.83/116.20 ( ? [ U_112 ] : ( in_lopen(U_112, v0, v32) & leq(v16, U_112) ) & ? [ U_113 ] : ( less(v300, U_113) & in_open(U_113, v0, v500) ) & ? [ U_114 ] : ( in_closed(U_114, v601, v601) & in_closed(U_114, v600, v600) ) ), 115.83/116.20 inference(miniscope,[status(thm)],[f_33_2]) ). 115.83/116.20 115.83/116.20 fof(f_33_4, negated_conjecture, 115.83/116.20 ( ( in_lopen(sK4, v0, v32) & leq(v16, sK4) ) & ? [ U_113 ] : ( less(v300, U_113) & in_open(U_113, v0, v500) ) & ? [ U_114 ] : ( in_closed(U_114, v601, v601) & in_closed(U_114, v600, v600) ) ), 115.83/116.20 inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_112,sK4)],[f_33_3]) ). 115.83/116.20 115.83/116.20 fof(f_33_5, negated_conjecture, 115.83/116.20 ( ( in_lopen(sK4, v0, v32) & leq(v16, sK4) ) & ( less(v300, sK5) & in_open(sK5, v0, v500) ) & ? [ U_114 ] : ( in_closed(U_114, v601, v601) & in_closed(U_114, v600, v600) ) ), 115.83/116.20 inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_113,sK5)],[f_33_4]) ). 115.83/116.20 115.83/116.20 fof(f_33_6, negated_conjecture, 115.83/116.20 ( ( in_lopen(sK4, v0, v32) & leq(v16, sK4) ) & ( less(v300, sK5) & in_open(sK5, v0, v500) ) & ( in_closed(sK6, v601, v601) & in_closed(sK6, v600, v600) ) ), 115.83/116.20 inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_114,sK6)],[f_33_5]) ). 115.83/116.20 115.83/116.20 cnf(f_33_11, negated_conjecture, 115.83/116.20 ( in_closed(sK6, v601, v601) ), 115.83/116.20 inference(clausify,[status(thm)],[f_33_6]) ). 115.83/116.20 115.83/116.20 cnf(f_33_12, negated_conjecture, 115.83/116.20 ( in_closed(sK6, v600, v600) ), 115.83/116.20 inference(clausify,[status(thm)],[f_33_6]) ). 115.83/116.20 115.83/116.20 cnf(t1, plain, ( in_closed(sK6, v600, v600) ), 115.83/116.20 inference(start, [status(thm), parent(0:0)], [f_33_12]) ). 115.83/116.20 115.83/116.20 cnf(t2, plain, ( ~in_closed(sK6, v600, v600) | leq(sK6, v600) ), 115.83/116.20 inference(extension, [status(thm), parent(t1:1)], [f_20_5]) ). 115.83/116.20 115.83/116.20 cnf(t3, plain, $false, 115.83/116.20 inference(connection, [status(thm), parent(t2:1)], [t2:1,t1:1]) ). 115.83/116.20 115.83/116.20 cnf(t4, plain, ( ~leq(sK6, v600) | leq(v601, v600) | ~leq(v601, sK6) ), 115.83/116.20 inference(extension, [status(thm), parent(t2:2)], [f_5_3]) ). 115.83/116.20 115.83/116.20 cnf(t5, plain, $false, 115.83/116.20 inference(connection, [status(thm), parent(t4:1)], [t4:1,t2:2]) ). 115.83/116.20 115.83/116.20 cnf(t6, plain, ( ~leq(v601, v600) | less(v601, v601) | ~less(v600, v601) ), 115.83/116.20 inference(extension, [status(thm), parent(t4:2)], [f_6_3]) ). 115.83/116.20 115.83/116.20 cnf(t7, plain, $false, 115.83/116.20 inference(connection, [status(thm), parent(t6:1)], [t6:1,t4:2]) ). 115.83/116.20 115.83/116.20 cnf(t8, plain, ( ~less(v601, v601) ), 115.83/116.20 inference(extension, [status(thm), parent(t6:2)], [f_8_3]) ). 115.83/116.20 115.83/116.20 cnf(t9, plain, $false, 115.83/116.20 inference(connection, [status(thm), parent(t8:1)], [t8:1,t6:2]) ). 115.83/116.20 115.83/116.20 cnf(t10, plain, ( less(v600, v601) ), 115.83/116.20 inference(extension, [status(thm), parent(t6:3)], [f_31_2]) ). 115.83/116.20 115.83/116.20 cnf(t11, plain, $false, 115.83/116.20 inference(connection, [status(thm), parent(t10:1)], [t10:1,t6:3]) ). 115.83/116.20 115.83/116.20 cnf(t12, plain, ( leq(v601, sK6) | ~in_closed(sK6, v601, v601) ), 115.83/116.20 inference(extension, [status(thm), parent(t4:3)], [f_20_6]) ). 115.83/116.20 115.83/116.20 cnf(t13, plain, $false, 115.83/116.20 inference(connection, [status(thm), parent(t12:1)], [t12:1,t4:3]) ). 115.83/116.20 115.83/116.20 cnf(t14, plain, ( in_closed(sK6, v601, v601) ), 115.83/116.20 inference(extension, [status(thm), parent(t12:2)], [f_33_11]) ). 115.83/116.20 115.83/116.20 cnf(t15, plain, $false, 115.83/116.20 inference(connection, [status(thm), parent(t14:1)], [t14:1,t12:2]) ). 115.83/116.20 115.83/116.20 % SZS output end Proof for theBenchmark 116.23/116.65 EOF