%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : GEO354+1 : TPTP v9.0.0. Released v6.4.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Sat Jun 21 05:06:17 AM UTC 2025 % Result : Satisfiable 0.18s 0.39s % Output : Model 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : GEO354+1 : TPTP v9.0.0. Released v6.4.0. % 0.12/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n002.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Jun 19 14:51:02 EDT 2025 % 0.12/0.34 % CPUTime : % 0.18/0.39 % SZS status Satisfiable % 0.18/0.39 % SZS output start Model % 0.18/0.39 tff(unequally_directed_lines_type, type, ( % 0.18/0.39 unequally_directed_lines: ( $i * $i ) > $o)). % 0.18/0.39 tff(apart_point_and_line_type, type, ( % 0.18/0.39 apart_point_and_line: ( $i * $i ) > $o)). % 0.18/0.39 tff(left_apart_point_type, type, ( % 0.18/0.39 left_apart_point: ( $i * $i ) > $o)). % 0.18/0.39 tff(reverse_line_type, type, ( % 0.18/0.39 reverse_line: $i > $i)). % 0.18/0.39 tff(divides_points_type, type, ( % 0.18/0.39 divides_points: ( $i * $i * $i ) > $o)). % 0.18/0.39 tff(convergent_lines_type, type, ( % 0.18/0.39 convergent_lines: ( $i * $i ) > $o)). % 0.18/0.39 tff(tptp_fun__i_val_2_type, type, ( % 0.18/0.39 tptp_fun__i_val_2: $i)). % 0.18/0.39 tff(tptp_fun__i_val_0_type, type, ( % 0.18/0.39 tptp_fun__i_val_0: $i)). % 0.18/0.39 tff(tptp_fun__i_val_3_type, type, ( % 0.18/0.39 tptp_fun__i_val_3: $i)). % 0.18/0.39 tff(tptp_fun__i_val_1_type, type, ( % 0.18/0.39 tptp_fun__i_val_1: $i)). % 0.18/0.39 tff(tptp_fun__i_val_4_type, type, ( % 0.18/0.39 tptp_fun__i_val_4: $i)). % 0.18/0.39 tff(line_type, type, ( % 0.18/0.39 line: $i > $o)). % 0.18/0.39 tff(distinct_lines_type, type, ( % 0.18/0.39 distinct_lines: ( $i * $i ) > $o)). % 0.18/0.39 tff(tptp_fun__i_val_5_type, type, ( % 0.18/0.39 tptp_fun__i_val_5: $i)). % 0.18/0.39 tff(left_convergent_lines_type, type, ( % 0.18/0.39 left_convergent_lines: ( $i * $i ) > $o)). % 0.18/0.39 tff(intersection_point_type, type, ( % 0.18/0.39 intersection_point: ( $i * $i ) > $i)). % 0.18/0.39 tff(point_type, type, ( % 0.18/0.39 point: $i > $o)). % 0.18/0.39 tff(distinct_points_type, type, ( % 0.18/0.39 distinct_points: ( $i * $i ) > $o)). % 0.18/0.39 tff(parallel_through_point_type, type, ( % 0.18/0.39 parallel_through_point: ( $i * $i ) > $i)). % 0.18/0.39 tff(line_connecting_type, type, ( % 0.18/0.39 line_connecting: ( $i * $i ) > $i)). % 0.18/0.39 tff(before_on_line_type, type, ( % 0.18/0.39 before_on_line: ( $i * $i * $i ) > $o)). % 0.18/0.39 tff(between_on_line_type, type, ( % 0.18/0.39 between_on_line: ( $i * $i * $i * $i ) > $o)). % 0.18/0.39 tff(formula1, axiom, % 0.18/0.39 ![X0: $i, X1: $i] : (unequally_directed_lines(X0, X1) <=> $false)). % 0.18/0.39 tff(formula2, axiom, % 0.18/0.39 ![X0: $i, X1: $i] : (apart_point_and_line(X0, X1) <=> $false)). % 0.18/0.39 tff(formula3, axiom, % 0.18/0.39 ![X0: $i, X1: $i, X2: $i] : (divides_points(X0, X1, X2) <=> ((~((~left_apart_point(X1, X2)) | (~left_apart_point(X0, reverse_line(X2))))) | (~((~left_apart_point(X0, X2)) | (~left_apart_point(X1, reverse_line(X2)))))))). % 0.18/0.39 tff(formula4, axiom, % 0.18/0.39 convergent_lines($i!val!2, $i!val!2) <=> $false). % 0.18/0.39 tff(formula5, axiom, % 0.18/0.39 convergent_lines($i!val!0, $i!val!0) <=> $false). % 0.18/0.39 tff(formula6, axiom, % 0.18/0.39 convergent_lines($i!val!3, $i!val!2) <=> $false). % 0.18/0.39 tff(formula7, axiom, % 0.18/0.39 convergent_lines($i!val!1, $i!val!0) <=> $false). % 0.18/0.39 tff(formula8, axiom, % 0.18/0.39 convergent_lines($i!val!4, $i!val!0) <=> $false). % 0.18/0.39 tff(formula9, axiom, % 0.18/0.39 ![X0: $i, X1: $i] : ((~((($i!val!2 = X0) & ($i!val!2 = X1)) | (($i!val!0 = X0) & ($i!val!0 = X1)) | (($i!val!3 = X0) & ($i!val!2 = X1)) | (($i!val!1 = X0) & ($i!val!0 = X1)) | (($i!val!4 = X0) & ($i!val!0 = X1)))) => (convergent_lines(X0, X1) <=> (~((~unequally_directed_lines(X1, X0)) | (~unequally_directed_lines(X1, reverse_line(X0)))))))). % 0.18/0.39 tff(formula10, axiom, % 0.18/0.39 ![X0: $i] : (line(X0) <=> $false)). % 0.18/0.39 tff(formula11, axiom, % 0.18/0.39 ![X0: $i, X1: $i] : (distinct_lines(X0, X1) <=> $false)). % 0.18/0.39 tff(formula12, axiom, % 0.18/0.39 ![X0: $i] : (reverse_line(X0) = ite_t(((X0 = $i!val!4) & (~(X0 = $i!val!5))), $i!val!5, ite_t(((X0 = $i!val!2) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!5))), $i!val!3, $i!val!1)))). % 0.18/0.39 tff(formula13, axiom, % 0.18/0.39 ![X0: $i, X1: $i] : (left_convergent_lines(X0, X1) <=> $false)). % 0.18/0.39 tff(formula14, axiom, % 0.18/0.39 ![X0: $i, X1: $i] : (intersection_point(X0, X1) = $i!val!4)). % 0.18/0.39 tff(formula15, axiom, % 0.18/0.39 ![X0: $i] : (point(X0) <=> $true)). % 0.18/0.39 tff(formula16, axiom, % 0.18/0.39 ![X0: $i, X1: $i] : (distinct_points(X0, X1) <=> $false)). % 0.18/0.39 tff(formula17, axiom, % 0.18/0.39 ![X0: $i, X1: $i] : (left_apart_point(X0, X1) <=> $false)). % 0.18/0.39 tff(formula18, axiom, % 0.18/0.39 ![X0: $i, X1: $i] : (parallel_through_point(X0, X1) = $i!val!4)). % 0.18/0.39 tff(formula19, axiom, % 0.18/0.39 ![X0: $i, X1: $i] : (line_connecting(X0, X1) = $i!val!2)). % 0.18/0.39 tff(formula20, axiom, % 0.18/0.39 before_on_line($i!val!2, $i!val!0, $i!val!0) <=> $false). % 0.18/0.39 tff(formula21, axiom, % 0.18/0.39 before_on_line($i!val!3, $i!val!0, $i!val!0) <=> $false). % 0.18/0.39 tff(formula22, axiom, % 0.18/0.39 ![X0: $i, X1: $i, X2: $i] : ((~((($i!val!2 = X0) & ($i!val!0 = X1) & ($i!val!0 = X2)) | (($i!val!3 = X0) & ($i!val!0 = X1) & ($i!val!0 = X2)))) => (before_on_line(X0, X1, X2) <=> (~(left_apart_point(X1, reverse_line(X2)) | left_apart_point(X1, X2) | left_apart_point(X0, reverse_line(X2)) | left_apart_point(X0, X2) | unequally_directed_lines(X2, line_connecting(X1, X0)) | (~distinct_points(X1, X0))))))). % 0.18/0.40 tff(formula23, axiom, % 0.18/0.40 ![X0: $i, X1: $i, X2: $i, X3: $i] : (between_on_line(X0, X1, X2, X3) <=> ((~((~before_on_line(X3, X0, X1)) | (~before_on_line(X3, X1, X2)))) | (~((~before_on_line(X3, X2, X1)) | (~before_on_line(X3, X1, X0))))))). % 0.18/0.40 % SZS output end Model % 0.18/0.40 % E exiting %------------------------------------------------------------------------------